What is the product? (2 x minus 1)(x 4) 2 x squared minus 4 2 x squared 4 2 x squared 7 x minus 4 2 x squared minus 7 x minus 4

Answers

Answer 1

The product of the given equation (2x - 1)(x +4) is 2x^{2} +7x -4.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

[tex](2x - 1)(x +4)[/tex]

Multiply term by term,

[tex]2x \times x + 2x \times 4+ (-1)\times x + (-1)\times 4\\2x^{2} +8x -x -4\\2x^{2} +7x -4[/tex]

Thus, The product of the given equation is [tex]2x^{2} +7x -4[/tex].

Learn more about quadratic equations;

https://brainly.com/question/13197897


Related Questions

Solving quadratic equations using the quadratic formula.

Answers

Answer:

what is there supposed to be a picture

Answer:

Down Here ↓↓↓

Step-by-step explanation:

Hello!

Standard Form of a Quadratic: [tex]ax^2 + bx +c[/tex]

Quadratic Formula: [tex]x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

To solve a quadratic using the quadratic formula, you have to plug values in for "a", "b", and "c" into the quadratic equation. Let's go over an example question.

Question: [tex]2x^2 +4x+2[/tex]

Solution:

Determine the values of "a", "b", and "c".

a = 2b = 4c = 2

Plug it into the quadratic equation to solve.

Solve:

[tex]x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex][tex]x = \frac{-(4) \pm\sqrt{(4)^2-4(2)(2)}}{2(2)}[/tex][tex]x = \frac{-4 \pm\sqrt{16 - 16}}{4}[/tex][tex]x = \frac{-4 \pm\sqrt{0}}{4}[/tex][tex]x = \frac{-4}{4}[/tex][tex]x = -1[/tex]

The value of x is -1.

What is the value of x in the matrix equation below?

Answers

Answer:

-3

Step-by-step explanation:

what is the rule for the numbers 1; 2; 4; 7; 11; 16​

Answers

Answer:

n²+n+2

Step-by-step explanation:

1)Find the difference between the numbers.

Difference= +1,+2,+3,+4,+5

2)Find the second difference between the first differences.

Difference= +1 each time

2 differences=Quadratic sequence

3)Quadratic Sequence Equation= an²+bn+c

Find the values of a, b and c by using these terms:

a (bottom)

2a+b (middle)

a+b+c (top)

4)Substitute values into equation

a=1    b=1    c=2

n²+n+2

Which rigid transformation(s) can map triangleabc onto trianglefed? reflection, then dilation reflection, then translation rotation, then translation rotation, then reflection

Answers

Answer:

rotation

Step-by-step explanation:

reflection

Answer:

rotation then translations-- C

Step-by-step explanation:

yes. and bc taking the quiz rn

If your good at geometry please help me!

Answers

Jada's claim as a conjecture would be:
"All the segments in Δ ABC are parallel to the corresponding segments in Δ A'B'C' because both triangles are dilated from center P".

What is the implication of a dilation?

Whenever a shape is a dilation of another, we agree that the current shape and the dilated image's corresponding side lengths are in the same proportion and are all associated by the same scale factor, k.

What is the proof?

Attached are the images showing the parallelity of the segments and their corresponding lines.

Image 1 shows that  Δ ABC and Δ A'B'C' are dilated from center p.Image 2 shows that Lines AB and A'B' run parallel to one another.Image 3 shows that lines CB and C'B' run parallel to one another.Image 4 shows that lines AC and A'C' run parallel to one another.

Hence, from the above, we can confirm that the above conjecture is true.

Learn more about conjectures at:

https://brainly.com/question/24813201

B1 of a trapezoid in which Area = (48x+68) inch squared, Height = 8 in, B2 = (9x + 12) in.

what I have so far is

48x +68 = 8 (B1 + 9x +12)

what do I do from there????????????????? the question is asking to solve for Base 1/ B1

Answers

A=(1/2)(b1+b2)h =

=(48x+68)in² = (1/2)( b1+(9x+12))8

=b1= 3x+5

m∠A=(y−16)° plese help me i really need this answer

Answers

I don't know what u r trying to find out so pls tell me what u r trying to find out.

But if u r trying to find out y here,

It is impossible to find out value of y, as we don't have the value of a or any other hints which will help in finding y.

But we can write the equation in a different way,

that is...

A - y = - 16°

Alex for school I need help whoever helps first will get brainlyist

Answers

Answer:

wheres the question ?

Step-by-step explanation:

If a baseball card appreciates exponentially in value by 50% over 10 years, what is its annual appreciation (growth) rate? Please use a calculator, and answer to the nearest whole percent. ​

Answers

Using an exponential function, it is found that it's annual growth rate is of 4%.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem, the card appreciates exponentially in value by 50% over 10 years, hence:

A(10) = 1.5A(0).

Thus:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]1.5A(0) = A(0)(1 + r)^{10}[/tex]

[tex](1 + r)^{10} = 1.5[/tex]

[tex]\sqrt[10]{(1 + r)^{10}} = \sqrt[10]{1.5}[/tex]

1 + r = 1.04.

r = 0.04.

0.04 x 100% = 4%.

It's annual growth rate is of 4%.

More can be learned about exponential functions at https://brainly.com/question/25537936

An auto dealer reduces the prices on the cars on the sales lot. The owner of the lot is planning on lowering the price of the cars by 4% each week. The original price was $22,000. B. Write the recursive routine. ​

Answers

The car is losing 4% every week and is original $22,000. First week equation: 22,000•(1-4%) the car will be $21,120, 2nd week $20,275.2 and so on.

How does knowing the coordinates of a point P in the Cartesian plane help you determine the trigonometric ratios associated with the angle formed between the initial and terminal arm for the angle? Use an example to help you explain.

Answers

The cosine and the sine of the angle are the x and y coordinates of P, respectively

The relationship between the coordinates and trigonometry ratios

Assume that the coordinate of a point P is:

P = (x,y)

The trigonometry ratios are represented using:

(cos(t), sin(t))= (x,y)

Where t represents the angle formed between the initial and terminal arm.

Hence, the cosine and the sine of the angle are the x and y coordinates of P, respectively

Read more about Cartesian planes at:

https://brainly.com/question/13854649

#SPJ1

Jeans cost $38. They are on sale for 45% off. What is the sale price?


Show your work, please

Answers

17.10 is the sale price.
I don’t know how to explain but hope this helps.

Answer:

$20.9

Step-by-step explanation:

First you find what 45% of the cost is:

0.45 x 38 = 17.1

Then, because this is a special/decrease in original price, you subtract:

38 - 17.1 = 20.9

$20.9

Is (1,9) a solution to this system of equations?
y=5x+4
y=2x+7

Answers

Answer:

yes , if you substitute X (1) in both the equations you will get y=9 and if you substitute y(9) in both the equations you will get X=1

A 45-foot tall tree is leaning towards a house, making an 86° angle with the ground. To stop the tree from leaning further, a cable is tied from the top of he tree and secured to a point on the ground 30 feet from the tree, opposite from the house. What angle does the cable make with the ground?​

Answers

The angle (less than 90°) that the cable makes with the ground for this considered case is 59° approximately.

What is law of cosine?

Let there is triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]

(c is opposite side to angle A)

Consider the diagram attached below.

In the diagram given, we have:

AB = tree with length of 45 ft

AC = cable, with length of 'x' ft (assume)

BC = distance of the base of the cable from the base of the tree of measurement 30 ft.

AD = vertical height of the point A (the top of the tree and cable) from the ground of 'h ft' (assume),

Using the cosine rule for the triangle ABC, taking:

|AC| = x = length of the side opposite to the known angle

|AB| = 45 ft and BC = 30 ft are rest of the two sides,

Angle opposite to AC is of 86°

Thus, we get:

[tex]45^2 + 30^2 -2(30)(45)\cos(86^\circ) = x^2\\\\2925 - 188.34 \approx x^2\\\\x \approx \sqrt{2736.66} \approx 52.31 \: \rm ft[/tex]

(took positive root because of x being length, which is a non-negative quantity).

For triangle ABD, using the sine ratio from the perspective of angle A, we get:
[tex]\sin(m\angle A) = \dfrac{\text{side opposite to A}}{\text{length of hypotenuse}} \\\\\sin(86^\circ) = \dfrac{h}{45}\\\\h = \sin(86^\circ) \times 45 \approx 44.89 \: \rm ft[/tex]

Now, for the triangle ACD, using the sine ratio from the perspective of angle C (smaller than 90°), we get:

[tex]\sin(m\angle C) = \dfrac{\text{side opposite to C}}{\text{length of hypotenuse}} \\\\\sin(\theta^\circ) = \dfrac{h}{x} \approx \dfrac{44.89}{52.31} \approx 0.858\\\\\theta =\sin^{-1}(0.858) \approx 59.09, 120.90[/tex]

Taking the angle smaller than 90°, we get:

[tex]\theta \approx 59.09^\circ \approx 59^\circ[/tex]


Thus, the angle (less than 90°) that the cable makes with the ground for this considered case is 59° approximately.

Learn more about law of cosines here:

https://brainly.com/question/17289163

#SPJ1

Answer:

That wasn't the correct answer

Step-by-step explanation:

c^2=45^2+30^2 - 2(45)(30)*Cos(94

c^2=2925+188.3425

c^2=3113.3425

take the square root:

c is approx. 55.8

sin86/55.8=sinx/45

55.8sinx=45sin94

divide both sides by 55.8

sinx=0.8045

sin^-1(0.8045)=53.6

Answer is 53.6 or "L" on the scavenger hunt worksheet

A snack company can pack 12 granola bars in a box. How many boxes are needed for 600 granola bars?
A.5
B.720
C.50
D.7, 200

Answers

Answer:

The Answer is C. 50

Step-by-step explanation:

To pack 600 granola bars, 50 boxes are needed.

The correct option is C.

To determine how many boxes are needed for 600 granola bars, we divide the total number of granola bars by the number of granola bars that can be packed in one box.

Number of boxes = Total granola bars / Granola bars per box

Number of boxes = 600 / 12

Number of boxes = 50

So, 50 boxes are needed to pack 600 granola bars.

The correct answer is option C: 50.

To confirm this, let's see the reasoning: Since each box can hold 12 granola bars, to get 600 granola bars, you need to divide 600 by 12. The result is 50, which means you need 50 boxes to pack 600 granola bars. Option C, with 50, is the correct answer. Options A, B, and D do not provide the accurate number of boxes required for 600 granola bars.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ3

What is the value of (-3 + 3) + (-2 + 3)?
O 5 - 61
0 -5 + 6
O 5 + 61
O 5-61

Answers

Answer:

Please check the question.  As written, the value is 1, which is not amoung the answers

Step-by-step explanation:

(-3 + 3) + (-2 + 3)

(-3 + 3) = 0

(-2 + 3) = 1

0 + 1 = 1

The value of a car is $25,500. It loses 14% of its value every year.

Answers

The car value is $25,500. If it depreciates 14% (0.14) every year it would lose $3,500 every year

25,000*0.14= 3500

Y=

Which algebraic expression is equivalent to the expression below? 12(5 + 3x) + 18
A.
36x - 78
B.
3x + 78
C.
36x + 78
D.
36x + 42

Answers

Step-by-step explanation:

12(5 + 3x) + 18

60+36x+18

C)36x+78

find the height and area of the equilateral triangle ​

Answers

As here we are given with an equilateral triangle, whose side is 3 cm, and we need to find the height and area of the equilateral triangle. So, for this let's recall that, the area of any equilateral triangle with side a is given by ;

[tex]{\boxed{\bf{Area_{(Equilateral\:\: Triangle)}=\dfrac{\sqrt{3}}{4}a^{2}}}}[/tex]

So, if we substitute a = 3, in our Formula, it will yield to

[tex]{:\implies \quad \sf Area_{(Equilateral\:\:Triangle)}=\dfrac{\sqrt{3}}{4}(3)^{2}}[/tex]

[tex]{:\implies \quad \sf Area_{(Equilateral\:\:Triangle)}=\dfrac{\sqrt{3}}{4}(9)}[/tex]

[tex]{:\implies \quad \boxed{\bf{Area_{(Equilateral\:\:Triangle)}=\dfrac{9\sqrt{3}}{4}\:\:cm^{2}}}}[/tex]

Now, as we know that, for any triangle we also have a formula that is ;

[tex]{\boxed{\bf{Area_{(Triangle)}=\dfrac{1}{2}\times Base\times Height}}}[/tex]

Now, Here as the triangle is equilateral, so it's base will just be same 3, and if we let height be H, so we will be having

[tex]{:\implies \quad \sf \dfrac{1}{2}\times 3\times H=\dfrac{9\sqrt{3}}{4}}[/tex]

[tex]{:\implies \quad \sf H=\dfrac{9\sqrt{3}}{4}\times \dfrac23}[/tex]

[tex]{:\implies \quad \boxed{\bf{Height=\dfrac{3\sqrt{3}}{2}\:\:cm}}}[/tex]

A racerunner is 26. 7 cm long. How much less than a meter is this?

Answers

Answer:

73.3 cm

Step-by-step explanation:

Phone numbers consist of a three-digit area code followed by seven digits. if the area code must have a 0 or1 for the second digit, and neither the area code nor the seven-digit number can start with 0 or 1, how many different phone numbers are possible? how did you come up with your answer? a. 8 times 10 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 = 6,400,000,000 b. 8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 = 1,280,000,000 c. 8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 = 128,000,000 d. 8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 times 10 = 12,800,000,000

Answers

The possible number of different phone numbers will be 128000000

What is probabilty?

The extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.

In this exercise we have to use the knowledge of probability to find the phone number, so:

1 280 000 000 different ways.

First we have to establish some information about this exercise such as:

The first slot cannot start with 0 or 1, which leaves us 2, 3, 4 ..., 9 to fill.This means we have 8 different arrangements for the first slot.The second slot have a 0 or 1 for the second digit, which leaves us with 2 different arrangements.There are no restrictions for the third slot, so we would have 10 different arrangements.

Thus, now calculating the possibilities of occurrence, we have:

[tex]8\times 2\times 10=160[/tex]

[tex]8\times 10^6=8000000[/tex]

[tex]160\times 8000000=1280000000[/tex]

See more about probability follow

brainly.com/question/795909

What is the range of possible sizes for side xxx?

Answers

Answer:

2.3<x<8.7

Step-by-step explanation:

What is the volume of the rectangular prism shown below?



A. 224 in³
B. 320 in³
C. 512 in³
D. 5,120 in³

Answers

Answer:

[tex]\boxed{\sf{5120\ in^3}}[/tex]

Step-by-step explanation:

Solution:

Volume of the rectangular prism formula:

[tex]: \Longrightarrow \sf{V=l*w*h}[/tex]

Given:

Length: 32 inWidth: 10 inHeight: 16 in

Then, you multiply.

[tex]\sf{32*10*16=\boxed{\sf{5120}}[/tex]

Therefore, the correct answer is "D. 5120 in³".

Answer:

D

Step-by-step explanation:

Solve : 4-3sec²A = 0​

Answers

Answer:

[tex]\sf\:Negative = \boxed{\sf\:\theta =\pi n_{1}+\frac{5\pi }{6}\text{, }n_{1}\in \mathbb{Z}}\\\sf\: Positive = \boxed{\sf\:\theta =\pi n_{1}+\frac{\pi }{6}\text{, }n_{1}\in \mathbb{Z}}[/tex]

Step-by-step explanation:

[tex]4 - 3 \sec ^ { 2 } \theta = 0[/tex]

Let's solve this.

Isolate sec²θ.

[tex]4 -3 \sec ^ { 2 } \theta = 0\\- 3 \sec^{2}\theta = -4\\3 \sec^{2}\theta=0\\\sec^{2} \theta=\frac{4}{3}[/tex]

Now, we now that, cos θ is the reciprocal of sec θ. Therefore,

[tex]\sec^{2}\theta = \frac{4}{3}\\\cos^{2}\theta = \frac{3}{4}[/tex]

Bring the square root on both the sides of the equation to remove the square.

[tex]\sqrt{\cos^{2}\theta} = \sqrt{\frac{3}{4} }\\\cos^{2}\theta = (+/-) \frac{\sqrt{3} }{2}[/tex]

If,

[tex]\cos\theta = + \frac{\sqrt{3}}{2}\\= cos \left( \frac{\pi}{6} \right)\\\Longrightarrow \boxed{\sf\:\theta =\pi n_{1}+\frac{\pi }{6}\text{, }n_{1}\in \mathbb{Z}}[/tex]

Also if,

[tex]\cos\theta = -\frac{\sqrt{3}}{2}\\= \cos \left(\pi - \frac{\pi}{6}\right)\\= \cos \left({\frac{5\:\pi}{6}\right)\\\Longrightarrow \boxed{\sf\:\theta =\pi n_{1}+\frac{5\pi }{6}\text{, }n_{1}\in \mathbb{Z}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

pls help
Is this triangle acute, right or obtuse?

Answers

Probably between obtuse angle or triangle because sometimes they trick you

But I'm not 100 percent sure

Answer:

It is right

Step-by-step explanation:

Right triangles will always form a corner like an L shape

Jordan wants to put wire fence around each of his tomato plants. He has a partial roll of fencing which is 18 1/6 feet long. How many tomato plants will Jordan be able to put a fence around using this roll if each plant requires exactly 2 2/3 feet of fencing.

Answers

Answer:

6 tomato plants

Step-by-step explanation:

[tex]18\frac{1}{6}= \frac{18\times6+1}{6}=\frac{108+1}{6}= \frac{109}{6}[/tex]

[tex]2\frac{2}{3}= \frac{2\times3+2}{3}=\frac{6+2}{3}= \frac{8}{3}[/tex]

then the number of tomato plants that Jordan will be able to put a fence around using this roll :

[tex]\frac{\frac{109}{6}}{\frac{8}{3}}= \frac{109}{6}}\times\frac{3}{8} = \frac{109}{2}}\times\frac{1}{8}= \frac{109}{16} = 6.8125[/tex]

then he can put fence only around 6 plants.


Can someone please help me I need it asap!! I’ll give brainlist !!!

Answers

Answer:

[tex]6^{6}[/tex]

Step-by-step explanation:

When the coefficient is the same (in this case it is 6), you can subtract the exponents when it's being divided.

So in this case, the exponents are 9 and 3. The 9 is being divided by the 3, So:

[tex]6^{9-3}[/tex]

[tex]6^{6}[/tex]

3/5x2/5x4/9 in simplest form

Answers

Answer:

8/75 is the answers for the question

show work and do it fast

Answers

Answer:

9 x 2/8 = 9/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 divided by 2/8 but make the 2/8 into a decimal and the turn back to a fraction if it ask if not then leave it how it is and if you have to round which you prolly wont have to but ask to make sure ight

Simplify 5^3/5^7 leaving your anwser in index form help!!!!!!!!

Answers

Answer:

0.0016

Step-by-step explanation:

Hope this helps!

Other Questions
Which is a procedural right protected by the bill of rights? right to bear arms freedom of speech right to call witnesses freedom of assembly An atom contains 3 protons, 3 electrons, and 4 neutrons. Which of the following statementscorrectly describes the nucleus of this atom?A the nucleus contains 3 positively charged particlesB the nucleus contains 3 negatively charged particlesC the nucleus contains 3 positively charged particles and 4 neutrally charged particlesD the nucleus contains 3 negatively charged particles and 4 neutrally charged particles WHAT is one of the primary ideals of capitalism in America? A.shared ownership B.private ownership c.governmental ownership D.distributed ownership Someone help me with this question You are writing in your diary. Choose at least five of these phrases and describe what you do on anygiven day. You should add any details you feel are necessary. Modelo pedir una pizzaYo pido una pizza todos los sbados. conseguir el peridicoconseguir hablar espaolpedir un libropedir una pizzarepetir una preguntaseguir las instrucciones A ray of an angle that rotates about the center is called? How can improving my communication, self-management, and thinking skills benefit me as a student? In the real world What does the latin term "argentum" mean? "big nose" "italian descent" "silver" "lilies of the field" As the sample size gets larger, what happens to the size of the correlation that is needed for significance?. Find the slope and the y intercept of the line -7x-2y=10 When should you suggest that a peer rearrange some of the paragraphs in her report? when youre having trouble understanding how the sentences are related to each other when the most convincing or persuasive evidence appears first in the report, followed by background information when you find a section that seems unrelated to the rest of the report Please rate this poem and tell me on a scale of 1-10 how good it is... if you have any critiques, please copy and paste it and then edit it. Thank you!OverwhelmedIt clings to your sweater like a child with its motherHoarding your dreams like a dragon with goldOh, isnt it cleverIt floats around like a balloon without a tetherIt makes me rethink again and againFor so much things are going on in my headThe wind drifts away, the clouds pour in shame, the sun goes awayIm left with worry stuck in my headI have to do this, I have to do thatWhen will I get all this done?A load off my shoulders could not feel betterWeights that are tremendously heavy, no longer burdensBut the feeling feels well since it provides a purposeThings to do that ease boredomGrowing like a weed that cannot be cutWhat could be done?What more could I do?Buried in a sea of dreams that are floating around just in my reachI guess you could say that is overwhelming but its more of anticipationI smell success in the air if I followed my noseIt is almost like a plant this feelingYou feed it with your fearsWater it with your tears Give it sun with your smilesYou make it grow into a beautiful flower On the way you feel tiredYou have to work so hard or get left behindDo you know what happens to carbon under pressure?A diamond appears , a lovely sparkling oneBut we are not soWe crumble under pressure What is the measure of the angle? Why would a typical U.S. business fail to take the social costs of pollution into consideration during the development of their operating strategies Bridget wants to use a text management strategy that will help her stay engaged with her textbook and allow her to quickly refer back to important information later. which strategy would be best for her use? Can someone please help me? :( Which two words are the closest antonyms?A.Improve and marB.Protect and preserveC.Stunning and captivatingD.Transfixed and fascinated The radius of a circle is 7 inches. What is the length of a 135 arc? (10^x/6) (10^x/8)=10^10 HELPPPPOne of the first-year-student orientation initiatives at a local university is to collect incoming students cell phones and keep them for 48 hours. The purpose of the initiative is to give students an opportunity to integrate into their new school culture and make friends on campus. Carefully consider the effects of this initiative and the extent to which they might support, complicate, or contradict its intended goals.Write an essay that argues your position on the advisability of the 48-hour cell phone ban.In your response you should do the following:Respond to the prompt with a thesis that presents a defensible position.Provide evidence to support your line of reasoning.Explain how the evidence supports your line of reasoning.Use appropriate grammar and punctuation in communicating your argument.In your response you should do the following:Respond to the prompt with a thesis that presents a defensible position.Provide evidence to support your line of reasoning.Explain how the evidence supports your line of reasoning.Use appropriate grammar and punctuation in communicating your argument.