Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Solve Using The Quadratic Formula. Show All Work. Write Each Solution In Simplest Form. No Decimals.

Answers

Answer 1

Answer:

Option B.

{–9 + i√225 / 24, –9 – i√225 / 24}

Step-by-step explanation:

12a² + 9a + 7 = 0

Using formula method, the solutions to the equation can be obtained as follow:

Coefficient of a² (a) = 12

Coefficient of a (b) = 9

Constant (c) = 7

a = –b ±√(b² – 4ac) / 2a

a = –9 ±√(9² – 4 × 12 × 7) / 2 × 12

a = –9 ±√(81 – 336) / 24

a = –9 ±√(– 225) / 24

Recall

–225 = –1 × 225

Thus,

–9 ±√(– 225) / 24 = –9 ±√(–1 × 225)/24

Recall

√(–1 × 225) = √–1 × √225 = i√225

Thus,

–9 ±√(–1 × 225)/24 = –9 ± i√225/24

Therefore,

a = –9 ± i√225/24

a = –9 + i√225 / 24 or –9 – i√225 / 24

Therefore, the solutions to the equation are:

{–9 + i√225 / 24, –9 – i√225 / 24}


Related Questions

158,155,152,... Find the 34th term.

Answers

Answer:

i think that the answer is 149

Answer:

2

Step-by-step explanation:

A television screen measures approximately 20 inches high and its diagonal
is 29 inches. What is the width of the TV screen?

Answers

the tv 21 inches wide c^2 - a^2 so 29 squared subtract 20 squared which equals 21

BRAINLIEST IF U MAKE UR OWN AND ORIGINAL ANSWER!
Question 2(Multiple Choice Worth 1 points)
(01.06 MC)

An equation is shown:

−np − 6 = 3(c − 5)

Which of the following solves for n?

n = the quantity 3 times c minus 21 all over negative p
n = the quantity 3 times c minus 9 all over negative p
n = the quantity 3 times c minus 21 all over p
n = the quantity 3 times c minus 9 all over p

Answers

Answer:

Option 2

Step-by-step explanation:

Hello!

We can solve the equation for n by isolating the variable.

Solve for n:-np - 6 = 3(c - 5)             Add 6 to both sides-np = 3(c - 5) + 6             Divide both sides by p-n = [tex]\frac{3(c - 5) + 6}{p}[/tex]                     Expand the parenthesis-n = [tex]\frac{3c - 15 + 6}{p}[/tex]                      Combine Like terms-n = [tex]\frac{3c - 9}{p}[/tex]                           Divide both sides by -1n = [tex]-\frac{3c - 9}{p}[/tex]

The answer would be the second option: "n = the quantity 3 times c minus 9 all over negative p."

Dose anyone know how to solve this??

Answers

Given:

The graph of a curve.

To find:

The domain and range for the given graph in interval notation.

Solution:

Domain: It is the set of input values.

Range: It is the set of output values.

Closed circle: It means that point is included in the solution set.

Open circle: It means that point is not included in the solution set.

(a) From the given graph it is clear that the function is defined between x=-5 to x=4. There is a closed circle at x=-5 and an open circle x=4, it means x=-5 is included and x=4 is not included in the domain.

[tex]Domain=-5\leq x<4[/tex]

[tex]Domain=[-5,4)[/tex]

(b) From the given graph it is clear that the values of the function lie between y=-3 to y=3. There is a closed circle at y=-3 and an open circle y=3, it means y=-3 is included and y=3 is not included in the range.

[tex]Range=-3\leq y<3[/tex]

[tex]Range=[-3,3)[/tex]

Therefore (a) [tex]Domain=[-5,4)[/tex] and (b) [tex]Range=[-3,3)[/tex].

Brian flips a fair coin 3 times.
What is the probability of getting 3 tails?

Answers

Answer:

the answer is one over eight

the formula says required outcome divided by sample space

the sample space here is it because we have three coins and the Three coins have two faces each so it becomes 2 x 2 * 2 that is 8 and that is the total sample space we are supposed to get the probability of getting 3 tails and for each coin you have 1/2 x 1/2 x 1/2 and that is 1/8 as your final answer and do probability of getting three tails

Answer:

If a fair coin is flipped 3 times, the probability of getting exactly 3 tails is 1/8

Step-by-step explanation:

1/2 * 1/2 * 1/2 =1/8

Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.


Outcome Frequency
Green 4
Black 6
Orange 5

Based on the given frequency, determine the experimental probability of selecting a green marble.
0.27
0.33
0.40
0.73

Answers

0.27 is the experimental probability of selecting a green marble.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Michael has a bag of marbles.

The frequency of selecting each color is recorded  

Outcome Frequency

Green 4

Black 6

Orange 5

The total number of marbles are 4+6+5=15 marbles.

We need to find the experimental probability of selecting a green marble.

We need to select green marbles (4) from total marbles (15).

Probability=4/15=0.266=0.27

Hence, 0.27 is the experimental probability of selecting a green marble.

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Susan made 4 uniform annual deposits of $1800 in a savings account that earned an interest rate of 2% per year. Her last deposit was made 7 years ago. What is the future value of her savings 13 years from now, if she leaves the account untouched?

Answers

Answer:

"$ 2,880" is the right answer.

Step-by-step explanation:

The given values are:

Annual deposit,

PV = $1,800

Interest rate,

r = 2%

or,

  = 0.02

As we know,

⇒  [tex]FV=PV\times (1+r)n[/tex]

On substituting the values, we get

⇒         [tex]=1,800\times (1 + 0.02) 4 + 7 + 13[/tex]

⇒         [tex]=1,800\times (1.02)24[/tex]

⇒         [tex]=1,800\times 1.6[/tex]

⇒         [tex]= 2,880[/tex] ($)

NEED ANSWER ASAP DOING A QUIZ
what is the area of the figure​

Answers

Answer:

the answer should be 126

Step-by-step explanation:

when you are looking for the area you multiple all of them so i should be right

Answer:

76.5

Step-by-step explanation:

6+3=9

1/2b*h

1/2*9*3=13.5

7*9=63

13.5+63=76.5

=76.5

EXPAND:
Expand the logarithm fully using the properties of logs. Express the final answer in terms of lo​g x and log y.


log x^5y^2


Here are the answer choices:

A . 5 log x +2 log y

b. 10 log xy

C. 10 log x log y

D. log 5x + log 2y



Explain how you got the answer in Words or either in a mathematical expression!!!

Answers

Answer:

[tex] \displaystyle A) 5\log( {x}^{} ) + 2 \log( {y}^{} ) [/tex]

Step-by-step explanation:

we would like to expand the following logarithmic expression:

[tex] \displaystyle \log( {x}^{5} {y}^{2} ) [/tex]

remember the multiplication logarithmic indentity given by:

[tex] \displaystyle \rm \log( \alpha \times \beta ) \iff \log( \alpha ) + \log( \beta ) [/tex]

so our given expression should be

[tex] \displaystyle \log( {x}^{5} ) + \log( {y}^{2} ) [/tex]

by exponent logarithmic property we acquire:

[tex] \displaystyle 5\log( {x}^{} ) + 2 \log( {y}^{} ) [/tex]

hence, our answer is A

May someone help me with this :)

Answers

Answer:

x=89

Step-by-step explanation:

Well all of a quadrilaterals interior angles add up to 360 degrees so you would add together 69+118+84 which equals 271, and then you'd subtract that from 360 which is 89. Hope this helps. :)

2. Peter signed up for a program that costs
$10.50 per month to stream movies to his
computer. He decided to cancel his service
after a month. He only has to pay for the
amount of time he used the service. What
number represents the total change in the
amount of money Peter has after paying for
the service?

Answers

Answer:

Peter must pay $10.50

Step-by-step explanation:

Since he only used the service for 1 month, he pays for that much time.

Answer:

10.50 x 5 would be the expression.

  so the answer is  $-52.5

Step-by-step explanation:

Three softball players discussed their batting averages after a game.


Probability
Player 1 six tenths
Player 2 five ninths
Player 3 four sevenths


Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)

Answers

The likelihood event:

Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).

The correct option is A.

What is the LCM?

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Given:

Three softball players discussed their batting averages after a game.

Probability:

Player 1 = six tenths = 6/10

Player 2 = five ninths = 5/9

Player 3 = four sevenths = 4/7

To find better batting averages:

LCM of 10, 9 and 7.

10 = 2 x 5. 9 = 3 x 3, 7 = 7

So, the LCM (10, 9, 7) = 630

Now we have the number of chances are equal for each of the three players.

So, the P(Player 1) = 6/10 = 378/630

P(Player 2)= 5/9 = 350/630

P(Player 3)= 4/7 = 360/630

The Player 1 has better batting average than Player 2 and Player 3.

Therefore, Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).

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3x+2y=5 What is x/y intercept

Answers

Answer:

x intercepts; (5/3 ,0 )

y-intercepts; (0 , 5/2)

Step-by-step explanation:

You are filling up a water balloon at a rate of 30pi cm^3sec. How fast is the radius of the balloon increasing when the radius is 2cm

Answers

The fast of the radius of balloon increasing is 480 cm³ / sec.

How do you calculate speed?If you know how far something has travelled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time.When figuring out test problems, the triangle might help you recall the formula more quickly. You may recall the three formulae with the aid of the triangle: Speed is calculated as Distance x Time.The result will be expressed in miles per hour (mph, mi/h), and so on for km/h, m/s, etc., if the distance was measured in miles and the duration in hours.Simple division of time by distance yields the equation for speed. To calculate speed, divide the distance travelled (say, 3 metres) by the passing time (say, three seconds) (one metre per second)

Given data :

V = [tex]\frac{4}{3}[/tex] π r³

we know [tex]\frac{dr}{dt}[/tex] = 30 cm/ sec

we want [tex]\frac{dV}{dt}[/tex] when r = 2cm

Differentiate V = [tex]\frac{4}{3}[/tex] π r³ implicitly with respect to t

[tex]\frac{dV}{dt}[/tex] (V) = [tex]\frac{dr}{dt}[/tex] ( [tex]\frac{4}{3}[/tex] π r³ )

[tex]\frac{dV}{dt}[/tex] = [tex]\frac{4}{3}[/tex] π x 3r² [tex]\frac{dr}{dt}[/tex] = 4 π r² [tex]\frac{dr}{dt}[/tex]

Plug in what you know and solve for what you don't know.

[tex]\frac{dV}{dt}[/tex] = 4π ( 2 )² ( 30 / sec ) =

= 120 x 4 .π cm³ / sec

= 480 cm³ / sec

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What is the equation of the line that has a slope of 4?
A 8x + 4y = 6
B 4x + y = 8
C4x - y - 4 = 4
D 2y - 4x = 0

Answers

Answer:

C

Rewrite the equation until you end up with 4 being your slope =m

Pls help asap

Which quadratic function is represented by the graph?

Answers

Answer:

1st option

Step-by-step explanation:

From the graph the zeros are x = - 3 and x = 1 , then the corresponding factors are

(x + 3) and (x - 1) , so

y = a(x + 3)(x - 1) ← a is a multiplier

To find a substitute a point on the graph into the equation

Using (0, - 1.5 ) , then

- 1.5 = a(3)(- 1) = - 3a ( divide both sides by - 3 )

0.5 = a

Then

f(x) = 0.5(x + 3)(x - 1)

Someone help me with number

6 and 7

Answers

6: is C because the X intercept is 5

Can you help me with this

Answers

Step-by-step explanation:

to find the equation of any line we have to first find the slope. the slope formula is:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

our slope here would be 8/13

now we input the points in the equation

y = mx + b

then we find b to be -3(7/13)

so the final equation would be:

[tex]y = \frac{8x}{13} - 3( \frac{7}{13} )[/tex]

What is the length of the short side of one of the 30 60 90 triangles?

Answers

Remembering the ratio of 1: 3: 2 and understanding that the smallest side length is always opposite the shortest angle (30°) and the longest side length is always opposing the greatest angle (90°) can help you recall the 30-60-90 triangle principles.

According to the 30-60-90 triangle theorem, the hypotenuse is twice as long as the shorter leg. Additionally, the sides of this particular triangle have a ratio of 1:2: [tex]\sqrt{3}[/tex].

A 30-60-90 triangle can have three sides, and if you only know one, you can use shortcuts to discover the other two. The three scenarios you encounter when performing these computations are as follows:

You are aware of the short leg (the side across from the 30-degree angle). To find the hypotenuse, multiply the length by two. The long leg can be calculated by multiplying the short side by the square root of 3.You are aware of the hypotenuse. To get the short side, divide the hypotenuse by two. To determine the long leg, multiply this response by the square root of 3.You are aware of the long leg (the side across from the 60-degree angle). To determine the short side, divide this side by the square root of 3. To find the hypotenuse, multiply that amount by two.

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what is 1/5 of 52 1/2

Answers

Answer: 10.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

Please help me with this question ASAP

NOTE: please explain your reasoning

Answers

Answer:

I Believe The Answer Would Be 35

Step-by-step explanation:

You See If You Split The Rectangle Into Three Rectangles You Can Split Them Up And Multiply The Length And Width

Answer:

35in^2

Step-by-step explanation:

You essentially have 3 rectangles.

Starting from the top

2*5 = 10

Middle

This is the only tricky one. You have the top with a total lenght of 5 and the middle rectangle is recessed from the 5 inch 2 inch. that leaves you 3 inches plus the 3 off to the side. in total 5 inches

3*5 = 15

Bottom

2*5 = 10

Add them all togehter

10+15+10

help asap:( will give brainliest though!

Answers

Answer:

∡B = 60°

Step-by-step explanation:

find BC using Pythagorean Theorem:

5² + BC² = 10²

25 + BC² = 100

BC² = 75

BC = [tex]\sqrt{75}[/tex]

BC = [tex]\sqrt{25}[/tex][tex]\sqrt{3}[/tex] which is 5[tex]\sqrt{3}[/tex]

this indicates that ∡B must be 60° because the ratio of sides in a 30-60-90 triangle are 1 : [tex]\sqrt{3}[/tex] : 2

Calculate the correct answer
Evaluate: n2-n3 +r(n-r)
if n +7=3 and r= √25​

Answers

The answer of n2-n3 +r (n-r) if n +7=3 and r=√25 is 35

please i need help! anything will help

Answers

Answer:

a = 3 or -3

Step-by-step explanation:

a^2 -8 = 1

a^2 = 1 + 8

a^2 = 9

a = -  [tex]\sqrt{9}[/tex] or [tex]\sqrt{9}[/tex]

a = 3 or -3

Answer: a = 3, -3

Step-by-step explanation:

      Since we want to find what values of a, or x when substituted into the function, equal 1, we will set the function equal to 1 and solve for x.

     Given:

f(x) = x² - 8

     Set equal to 1:

1 = x² - 8

     Subtract 1 from both sides of the equation:

x² - 9 = 0

     Difference of squares factoring:

(x - 3)(x + 3) = 0

     Answers:

x = 3, -3

     So,

a = 3, -3

Is the following situation represented by a positive integer, a negative integer, or zero?

Before taking off, the plane was on the ground.

Zero
Positive
Negative

Answers

Answer:

Positive

Step-by-step explanation:

hey could anyone help?

Answers

Answer:

18

Step-by-step explanation:

The ~ indicates that ∠ABC is similar to ∠QRS. In other words, their proportions are the same, even if their size is different.

So AB has the same proportions as QR. 4 can be multiplied by 2.25 to get to 9. So multiply 8 by 2.25 to get n.

8 * 2.25 = 18 so n = 18

Solving right triangles
Find measure of < j.

Answers

Answer:

80

Step-by-step explanation:

Because it is more than 45 and the only one that is more that 45 is 80

Write an equation for the sinusoid you graphed.

Max: 210
Min: 10
Time: 90 seconds (to go around the Ferris wheel 1 time)

Not sure if I graphed it correctly either…

Answers

Therefore , As a result, y=Sin will be the equation of the sinusoid that answers the supplied equation problem (2x).

Describe equation

An equation is a representation of two equal variables in mathematics, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra lessons address the fundamental concepts of mathematics.

Here,

Given: Maximum: 210

Minimum: 10

Time : 90

In order to create a sinusoid equation:

When x=0, sin(2*0)=sin(0)=0.

If x = 4 then sin(4 / 2) = 1.

Sin(π) = 0 if x =π/2 and

Consequently, the sinusoid's equation will be y=Sin (2x)

Therefore , As a result, y=Sin will be the equation of the sinusoid that answers the supplied equation problem (2x).

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8 cm
20 cm
0 80
O 160
0 28
O 40

Answers

8x20=160
So your answer would be 160

Please help me with this math puzzle

Answers

Answer:

unicorn = 6

zebra = 18

horse = 4

Step-by-step explanation:

unicorn = u

zebra = z

horse = h

translate the picture to a system of equations

2u + z = 30

2h + u = 14

3z + 2h = 62

2h * 2u * 2z = ?

then solve the system of equations

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