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GenaCL600 [577]
2 years ago
13

Evaluate the function. ƒ(x) = −3x² − x – 15 Find f(−8)

Mathematics
1 answer:
svetlana [45]2 years ago
6 0

Given ~

\:

\tt \: f(x) = −3x² − x – 15

\:

now , put x= -8 in the function ~

\:

\tt \: f( - 8) = −3( - 8)² − ( - 8) – 15

\:

\tt f(-8) = −3(64) − (-8) – 15

\:

\tt  f(-8) = −192 − (-8) – 15

\:

\tt f(-8) = −192 − (-8) – 15

\:

\tt f(-8) = −184 – 15

\:

\underline{\boxed{\red {\tt f(-8) = - 199}}}{\green ✓}

\:

hope helps ~

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Answer:

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Step-by-step explanation:

To find:

The value of '?' in the following expression:

x^2y^8.x^3y^? = x^5y^5

Solution:

First of all, let us have a look at a few rules of the exponents:

1.\ a^b.a^c=a^{b+c}

2.\ a^b.a^{-c}=a^{b-c}

Let us apply these rules and try to find out the missing value ('?') in the given expression.

Left Hand Side (LHS):

x^2y^8.x^3y^?\\\Rightarrow x^2.x^3.y^8.y^?\\\Rightarrow x^{2+3}y^{8+?}\\\Rightarrow x^{5}y^{8+?}

Now, let us compare the LHS with RHS, we get:

x^{5}y^{8+?} = x^{5}y^{5}

Dividing with x^5 on both sides:

y^{8+?} = y^5\\\Rightarrow 8+? = 5\\\Rightarrow ? = 5-8 \\\Rightarrow ? =-3

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The function below show how much Jayna and Hannah charge for babysitting. Which statement best compares the two plants?
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Step-by-step explanation:


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Step-by-step explanation:

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Hello from MrBillDoesMath!

Answer:

225

Discussion:

Sum ( 2n - 1)                  from  n = 1 to 15              

= Sum(2n) - Sum(1)        from n = 1 to 15

= 2 Sum(n) - Sum(1)       from n = 1 to 15

= 2* 15(15+1)/2  - (1 + 1 + .. + 1)

The first value comes from the fact that the sum of the first n integers is  n(n+1)/2. The latter value sums 15 1's.

= 2 * 15 * 16/2 - 15                    => 2/2 = 1

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