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Naya [18.7K]
2 years ago
8

Polynomial function f(x) has only 3 real roots. It has a root at −3 and a double root at 4. It has a y-intercept of 24. Which eq

uation represents f(x) ?
Mathematics
1 answer:
Oduvanchick [21]2 years ago
7 0

Answer:

f(x) = (1/2) (x + 3)(x - 4)^2

Step-by-step explanation:

f(x) = C(x + 3)(x - 4)^2

y-intercept = f(0) = C(3)(-4)^2 = 48C = 24, so C = 1/2

f(x) = (1/2) (x + 3)(x - 4)^2

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Write and solve the equations. A number y is five less than thirteen.
Genrish500 [490]

We can follow the following steps to make an equation and solve it.

Step 1:

five less than 13 means we have to subtract 5 from 13

so it becomes 13-5

Step 2:

A number y is five less than thirteen.

Now in algebraic expressions, "is" stands for "="

So we have:

y=13-5

Step 3:

Solving the equation to find y.

y=13-5

Subtracting 5 from 13, we get :

y=8

Answer:

For the given equation the solution is y=8.

4 0
3 years ago
∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Maslowich

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

6x = 36

Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

∠B = 62°

4 0
3 years ago
Can someone pls pls pls help ​
vichka [17]

Answer:

4\sqrt{3}

Step-by-step explanation:

AB = \sqrt{[(4-(-4)]^{2} - [1-(-3)]^{2} } = 4\sqrt{3}

4 0
3 years ago
Kayla went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $20, but the price with tax came to
Nina [5.8K]

Hello!

\large\boxed{9 \%}

To find the percent tax, use the equation:

\text{ \% tax} = \frac{\text{ price after - initial price}}{\text{initial price}}

Substitute in the given values:

\text{ \% tax} = \frac{\text{ 21.80 - 20}}{\text{20}} \\\\\text{ \% tax} = \frac{1.80}{20} = 0.09

Multiply by 100 to find the percent tax:

0.09 * 100 = 9\%

4 0
3 years ago
Mr. and mrs.storey drive 3200 miles in all during their vacation. mr.storey drove 3 times as many miles as mrs.storey how many m
vaieri [72.5K]
This can be solve by establishing equations.
let x be the miles mrs. storey drove
y be the miles mr storey drovee
 
the first equation is
y = 3x

second equation
x + y = 3200
then substitute equation 1

x + 3x = 3200
4x = 3200
x = 800 miles mrs storey drove
y = 3x = 2400 miles mr storey drove
5 0
4 years ago
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