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3241004551 [841]
3 years ago
5

Please explain, thank you

Mathematics
1 answer:
RoseWind [281]3 years ago
3 0

Answer:

C. 2.

Step-by-step explanation:

The graph descends from the left  so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below.  The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.

f(x) = a(x + 20)(x - 6.5)(x - 13)   where a is  a negative constant.

(This is only an approximation).

By the Remainder theorem, when the expression is divided by (x + 10):

f(-10) = -20 so we have

-20 = a (-10 + 20)(-10-6.5)(-10 - 13)

(10)(-16.5)(-23)a = -20

a = -20 / (10)(-16.5)(-23)

a = -0.0053

When  the equation is divided by (x - 10) then f(10)  is the remainder so substituting we have as the remainder:

-0.0053(10+20)(10-6.5)(10 -13)

-0.0053 * 30 * 3.5 * -3

= 1.7 approximately.

Looks like the answer is 2.

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Step-by-step explanation:

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Help me please my test is tomorrow!​
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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

4z +  2 = 10z - 1

Add sides 1

4z  + 2  + 1 = 10z - 1 + 1

4z + 3 = 10z

Subtract sides 4z

- 4z + 4z + 3 =  - 4z + 10z

3 = 6z

6z = 3

Divide sides by 6

\frac{6z}{6}  =  \frac{3}{6}  \\

z =  \frac{1}{2}  \\

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3y = y + 3

Subtract sides y

- y + 3y =  - y + y + 3

2y = 3

Divide sides by 2

\frac{2y}{2}  =  \frac{3}{2}  \\

y =  \frac{3}{2}  \\

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the correct answer is :

a) \: y =  \frac{3}{2}  \: , \: z =  \frac{1}{2}  \\

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