Is the solution shown below correct? explain. 9x 2=8x2 6x negative 8 x squared 3 x 2 = 0. x = startfraction negative 3 plus-or-minus startroot (3) squared minus (4) (negative 8) (2) endroot over negative 16 endfraction. x = startfraction negative 3 plus-or-minus startroot 9 minus (64) endroot over negative 16 endfraction. x = startfraction 3 plus-or-minus startroot 55 endroot i over 16 endfraction.

Answers

Answer 1

The correct solution of the given quadratic equation was found using the formula.

The given equation is:

[tex]9x+2=8x^{2} +6x[/tex]

[tex]8x^{2} +6x-9x-2=0[/tex]

[tex]8x^{2} -3x-2=0[/tex]....(1)

What is a quadratic equation?

An equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].

We can solve equation (1) by the formula

[tex]x=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]

So, [tex]x=\frac{3+-\sqrt{(-3)^{2} -4(8)(-2)} }{2(8)}[/tex]

[tex]x=\frac{-3+-\sqrt{73} }{16}[/tex]

Hence, the correct solution of the given quadratic equation was found using the formula.

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Related Questions

A weather researcher compared average monthly temperature data for
Athens, Greece, and Brussels, Belgium
Madrid Brussels
Mean 59°F 51'F
Range 20.4°F 14.1°F
Based on these data, which statements are true?
O A. On average, Madrid has a higher monthly temperature. Its monthly
temperatures also vary more.
O B. On average, Madrid has a higher monthly temperature. However,
temperatures in Brussels vary more.
C. On average, Brussels has a higher monthly temperature. However,
temperatures in Madrid vary more.
D. On average, Brussels has a higher monthly temperature. Its
monthly temperatures also vary more.

Please please help first answer and the answer is correct will get a brainlist and a 5 star like please help!!! FAST ⚠️

Answers

Answer:

A. Madrid has a higher monthly average and its monthly temps vary more.

Step-by-step explanation:

I got this right on the quiz.

If your answer turns out to be wrong it can be due to the answers being mixed and/or i didnt read the chart you gave correctly

my apologies if i get it wrong.

Answer:

A.

Step-by-step explanation:

How to do this please help

Write an equation and please explain how to do it

Answers

find the point of where the line touches the y axis

PLEASE HELP! WILL GIVE BRAINLIEST!
In this problem, we use your critical values table to explore the significance of r based on different sample sizes.

Answers

Answer:

1. A,B,D,E

2. E,A,B,D,C

3.H,A,C,D

Step-by-step explanation:

1. We know if just one dimension of a 3-D figure is 4 times longer, the volume is 4 times longer. If all three dimensions change to be 4 times longer, how many times larger is the volume?

Answers

Using proportions, it is found that the volume is 64 times larger than the volume of the original figure.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, each of the 3 dimensions will be four times greater, hence, the change in the volume will be given by:

V = 4³ = 4 x 4 x 4 = 64.

The volume is 64 times larger than the volume of the original figure.

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5.967 is when rounded to the nearest whole number.​

Answers

Answer:6

Step-by-step explanation:

5.967 is about 6 because 5.9 9 is above 4 so we round up.

In the frog jumping contest, Sam's frog 17.53 meters. Juan's frog jumped 23.8 meters. How much further did Juan's frog jump? ​

Answers

Calculate the difference between the two values.

23.8m - 17.53m = 6.27m [further]

I need help with this ?

Answers

Answer:

132 cm cubed

Step-by-step explanation:

so if [tex]\pi[/tex] = 3

cylinder 1 =  3 x 2 x 2 x 7 = 84 cm cubed

cylinder 2 - 3 x 4 x 4 x 1 = 48 cm cubed

all together = 84 + 48 = 132 cm cubed

area of this object = 132 cm cubed

132 cm cubed just like the answer on top they have a good explanation so I won’t write it all out again

Which inequalities are true? Select the four correct answers.
O<
0 V8
OVE <3
V> 7
口<2
O /> 8
01

Answers

Step-by-step explanation:

Check the attached photo out

Jackie's restaurant bill was $23. 50, and the tax was 8%. Jackie left a 20% tip on the post-tax bill. How much was the tip Jackie left? A) $4. 82 B) $5. 08 C) $6. 58 D) $7. 12​

Answers

well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88[/tex]

so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08[/tex]


Find cos(B) in the triangle.
B
3
C
4
A
5

Answers

Answer:

3/4 = 6/10 = 0.6

Step-by-step explanation:

cos is Division of Adjacent side by hypotenuse

hi please help thanks!

Answers

[tex] \frac{ \frac{15}{4} }{ \frac{1}{5} } = \\ [/tex]

[tex] \frac{15}{4} \div \frac{1}{5} = \\ [/tex]

[tex] \frac{15}{4} \times \frac{5}{1} = \\ [/tex]

[tex] \frac{75}{4} = \\ [/tex]

[tex] \frac{72 + 3}{4} = \\ [/tex]

[tex] \frac{72}{4} + \frac{3}{4} = \\ [/tex]

[tex]18 + 0.75 = [/tex]

[tex]18.75[/tex]

Which choice correctly compares the two decimal numbers to hundredths? A) 28.14 > 29.11 B) 28.61 > 28.48 C) 29.13 < 28.37 D) 29.19 < 28.32

Answers

Answer:

B) 28.61 > 28.48

Step-by-step explanation:

A is wrong because 28 < 29

B is correct because 0.61 > 0.48

C is wrong because 29 > 28

D is wrong because 29 > 28

I hope this helps!

help fast!! (no links please.)

Answers

Answer:

C) 3.

Step-by-step explanation:

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

= (9 + 4) - 2(5)

= 13 = 10

= 3.

Answer:

C) 3

Step-by-step explanation:

When finding the value for this, we would simply by plugging in the values for the given variables and simplify the equation.

( c^2 + d^2 ) - 2 ( c^2 - d^2 )

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

( 9 + 4 ) - 2 ( 9 - 4 )

( 13 ) - 2 ( 5 )

( 13 ) - 10

3

Help pls asap!! No links.

Answers

Answer:

Step-by-step explanation:

1. Do what is inside the parantheses

[tex]4^{2} +3+2\\16+3+2 = 21[/tex]

[tex]7^{2} +3(21)[/tex]

2. Simplify both terms

[tex]7^{2} =49\\3(21) = 63\\49+63[/tex]

3. Solve

[tex]49+63 = 112[/tex]

Answer:

the answer is 102

Step-by-step explanation:

follow the pemdas explanation

Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest rate of 4%.find out in how many years each doubles her money. using the rule of 72, t = startfraction 72 over r endfraction, what is the difference in the number of years to double their money?

Answers

Jill and Cheryl took 12 years and 18 years, respectively, to double their money.

What is Algebra?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

[tex]\rm t = \dfrac{72}{r}[/tex]

where r is the interest rate and t be the time

The time for the Jill will be

[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]

The time for the Cheryl will be

[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]

More about the Algebra link is given below.

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The perimeter of a rectangle is 48 cm. If the length is 14 cm, find its width

Answers

Answer:

10

Step-by-step explanation:

Since a rectangle has 2 sets of congruent sides we can set up the equation:

48=2x+2y

We have our x value/length (14) so we can plug that in to the equation.

48=2(14)+2y

Then we have to simplify

48=28+2y

20=2y

Then simply solve for the y value, which is your width

10=y

Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 3 times the third.
The smallest integer is ___

Answers

Answer:

The smallest integer is 4

Step-by-step explanation:

So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable after that an equation would be formed which we would solve and get the answer. Here also we would be doing same.!!

Let us assume the first consecutive positive integer as m. Therefore, second and third consecutive number would be (m + 1) and (m + 2) respectively.

Refer to the attachment now.

A rectangle measures 2
1
2
inches by 1
5
16
inches. What is its area?

Answers

Considering it's dimensions given as improper fractions, the area of the rectangle is of 3.28125 in².

What is the area of a rectangle?


The area of a rectangle of length l and width w is the multiplication of these dimensions, that is:

A = lw.

In this problem, the dimensions in inches are given as follows.

[tex]l = 2\frac{1}{2} = 2 + 0.5 = 2.5[/tex].[tex]w = 1\frac{5}{16} = 1 + 0.3125 = 1.3125[/tex].

Hence the area in squared inches is given by:

A = lw = 2.5 x 1.3125 = 3.28125 in².

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Find the distance between the points (-8,-9)and (-3,3)

Answers

Answer:

13

Step-by-step explanation:

Use the distance formula and plug in both points

Answer:

its either 11 or 13 im not sure

Step-by-step explanation:


Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 11 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 34 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?

Answers

Answer:

92.86%

Step-by-step explanation:

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Therefore, percentage accuracy he had with predicting his scores is 92.86%.  

The eggs produced at Jen's Hen Farm and Rick's Chick Farm are normally distributed. The eggs produced at Jen's Hen Farm have a mean weight of 2. 11 ounces and a standard deviation of 0. 08 ounce. The eggs produced at Rick's Chick Farm have a mean weight of 2. 15 ounces and a standard deviation of 0. 07 ounce. Each farm produces a total of 100, 00 eggs per month

Answers

The eggs are illustrations of normal distributions, and Jen's egg is more likely to be classified as large egg

Who is more likely to select an egg classified as large?

The given parameters are:

Jen's Hen Farm

Mean, μ = 2.11Standard deviation, σ = 0.08

Rick's Chick Farm

Mean, μ = 2.15Standard deviation, σ = 0.07

The range of the egg distribution in both samples is calculated using μ ± σ

For Jen, we have:

μ ± σ = 2.11 ± 0.08

Expand

μ ± σ = (2.11 - 0.08, 2.11 + 0.08)

This gives

μ ± σ = (2.03, 2.19)

For Rick, we have:

μ ± σ = 2.15 ± 0.07

Expand

μ ± σ = (2.15 - 0.07, 2.15 + 0.07)

This gives

μ ± σ = (2.08, 2.22)

So, we have:

Jen = (2.03, 2.19): Range = 2.19 - 2.03 = 0.16

Rick = (2.08, 2.22): Range = 2.22 - 2.08 = 0.14

Eggs classified as large have the weight 2.0 < m ≤ 2.25

0.16 is greater than 0.14.

Hence, Jen's egg is more likely to be classified as large egg

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Question 4e Choice Worth 2 )
(03.06 MC)
B В
V
х
у
WD
N
A
What expression represents the value of x?
Ox= ww+z)
Ox=vZ(w+z)
=
Ox=/wy
Ox=WZ
ſ

Answers

Answer:

A

Step-by-step explanation:

using the altitude- on- hypotenuse theorem

( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse ) , so

x² = w × (w + z) = w(w + z) ← take square root of both sides

x = [tex]\sqrt{w(w+z)}[/tex]

The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The triangles ΔABC and ΔBCD are similar triangles. Then the ratio of the corresponding sides will be constant.

Then the equation is given as,

x / (w + z) = w / x

Simplify the equation for 'x', then the equation is written as,

x / (w + z) = w / x

x² = w × (w + z)

x = √[w(w + z)]

The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.

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What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?

Answers

Answer:

y=-0.6x+1.8

Step-by-step explanation:

Since the line is perpendicular to that line, it has the same slope. So, the slope is -3/5. Also, it passes through the point 3, 0. So, y=-3/5x + b. To find the y intercept, lets solve the equation with the value of x being the x intercept. 0=-3/5(3)+b. 0=-9/5+b. Add 9/5 to both sides. b=1 4/5 So, the answer is y=-0.6x+1.8

Which equation is a linear function?

Answers

Answer:

B) -5y + 3x = 7 is linear.

Step-by-step explanation:

Since this equation has no exponents on the x or the y, no variable as an exponent, no variable inside a radical, it is a linear function. If you graph it, you will get a line.

Please help I will give brainliest.

Answers

Answer:

t = 1 sec   5 meters

Step-by-step explanation:

When the object hits the ground , height = 0

   0    = (5t+5)(1-t)      so t = -1(throw out...can't have negative time value) or 1  

As the object is dropped, t = 0    sub that in to the equation

h = (5(0)+5)(1-0) = 5 meters  

Which expression represents the volume of the sphere, in cubic units? three-fourthsπ(6)2 four-thirdsπ(6)3 three-fourthsπ(12)2 four-thirdsπ(12)3

Answers

The expression that represents the volume of the sphere is (4/3)π(6)³.

The radius of the sphere = 6 units

What is the volume of a sphere?

The volume of a sphere with radius r is 4/3πr³.

So, the volume of the given sphere with a radius of 6 units =  (4/3)π(6)³

The volume of the given sphere with a radius of 6 units =  (4/3)π*216

The volume of the given sphere with a radius of 6 units = 288π cubic units.

Hence, the expression that represents the volume of the sphere is (4/3)π(6)³.

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Answer: B

Step-by-step explanation: edge 2023

I will give some brainliest if they answer this

Answers

Answer:

Given:

Total horses tested = 140Horses that had Lyme disease = 42Horses that had arthritis = 112

Let x = number of horses that had BOTH Lyme disease and arthritis.

⇒ (112 - x) + (42 - x) + x = 140

⇒ 154 - x = 140

⇒ x = 14

Therefore, place 14 in the middle overlapping area.

To find the number to place in the left section:  42 - 14 = 28

To find the number to place in the right section:  112 - 14 = 98

what is the volume of the rectangular prism?

Answers

Answer:

96

Step-by-step explanation:

L x W x H

8 x 4 x 3 = 96

96 L x W x H. 4x8x3=96

Which of the following is true about the expression 5^1/4

Answers

Answer:

Answer is greater than 1

Includes Fraction

Rational

Step-by-step explanation:

The reference angle for 5pie/4 is pie/4, which has a terminal point (sqr2/2,sqr2/2), what is the terminal point of 5pie/4?

Answers

Check the picture below.

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