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zhenek [66]
2 years ago
13

PLEASE HELP !!!!!!!! What is the equation of the directrix for the following parabola: -8(x-5)=(y+1)^2

Mathematics
1 answer:
Mashcka [7]2 years ago
3 0

Answer:

x=7

Step-by-step explanation:

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
Illusion [34]

Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

15x(x^2-x-6)=0

Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

15x(x^2-3x+2x-6)=0

15x((x^2-3x)+(2x-6))=0

15x(x(x-3)+2(x-3))=0

15x(x-3)(x+2)=0

Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

7 0
3 years ago
A woman earns $ 1,350 in interest from two accounts in one year. If she has three times as much invested at 7% as she does at 6%
VashaNatasha [74]

Answer:

The woman invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

Step-by-step explanation:

We are given the following in the question:

Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.

The woman invested has three times as much invested at 7% as she does at 6%.

Thus, we can write the equation:

x = 3y

The total interest is $1,350.

Thus, we can write the equation:

1350 = \dfrac{7x}{100} + \dfrac{6y}{100}\\\\7x + 6y = 135000

Solving the two equations by substitution method:

7(3y) + 6y = 135000\\27y = 135000\\y = 5000\\x = 3(5000) = 15000

Thus, she invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

8 0
3 years ago
What is the measure of each angle
Wewaii [24]

Answer:

not sure if they really want numbers here

x and 14x??

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help me please solve the following equation for x.
wlad13 [49]

Answer:

x = 13

x = -5

Step-by-step explanation:

\frac{(x-4)^2}{3}-13=14\\\frac{(x-4)^2}{3}=27\\(x-4)^2=81\\x-4=\sqrt{81}\\\\ x-4=9\\x=13\\\\x-4=-9\\x=-5

5 0
2 years ago
What are the coordinates of the point (10, -4) if it is reflected across the y- axis?
iVinArrow [24]

Answer:

(-10,-4)

Step-by-step explanation:

The point is moved to the other side of the y axis.

The y coordinate would stay the same and the x coordinate would move the same number of units but on the opposite side (that's why its -10).

4 0
3 years ago
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