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masya89 [10]
2 years ago
11

H(t)= (t+3)^2 + 5

Mathematics
1 answer:
oee [108]2 years ago
5 0

Answer:

The average rate of change for the given function in the interval (-5, -1) is 0 (zero)

Step-by-step explanation:

The average rate of change of a function over an interval is the quotient between the difference between the function evaluated at the ends of the interval divided by the length of the interval. That is for our case:

the average rte of change of h(t) in the interval (-5, -1) is:

\frac{h(-1)-h(-5)}{-1+5}

so we find:

h(-1)=(-1+3)^2+5=2^2+5=4+5=9\\and\\h(-5)=(-5+3)^2+5=(-2)^2+5=4+5=9

then the average rate of change becomes:

\frac{h(-1)-h(-5)}{-1+5}=\frac{9-9}{4} =\frac{0}{4} =0

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3 years ago
<img src="https://tex.z-dn.net/?f=%20-%20y%20%3D%20%5Cfrac%7B2%7D%7B5%7Dx%20-%203" id="TexFormula1" title=" - y = \frac{2}{5}x -
raketka [301]
The first step to solving this equation is to change the signs on both sides of the equation
y = -\frac{2}{5}x + 3
Since we don't know what x is but we do know why y is,, we will write our answer with the answer to y and x being left as undefined.
y = -\frac{2}{5}x + 3, x ∈ R
Let me know if you have any further questions
:)
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if you horizontally shift the square root parent function, F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormu
Juli2301 [7.4K]

ANSWER

g(x) =  \sqrt{x + 4}

EXPLANATION

The parent square root function is

f(x) =  \sqrt{x}

The translation

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Will shift the graph of f(x) k units to left.

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Therefore if f(x) is shifted 4 units to the left its new equation is:

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