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nadezda [96]
3 years ago
12

I need help with this Which number sentence could be used to solve this problem?

Mathematics
2 answers:
dimaraw [331]3 years ago
5 0
The answer to this problem is d
Alinara [238K]3 years ago
5 0
18-6 would be the correct answer choice.

We are trying to find how many more Hugo needs.

6+x=18
x=18-6

Hope this helps!
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A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's
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Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

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f(x) = 0.2^x is transformed 9 units right, compressed vertically by a factor of 1/6 and reflected across the x-axis. Write the t
postnew [5]

Answer:

The function g(x) is defined as g(x)=-\frac{1}{6}(0.2)^{x-9}.

Step-by-step explanation:

The given function is

f(x)=-(0.2)^x

The function f(x) transformed 9 units right, compressed vertically by factor of 1/6 and reflected across the x-axis.

The transformation of function is defined as

g(x)=kf(x+b)+c

Where, k is vertical stretch, b is horizontal shift and c is vertical shift.

If b>0, then the graph of f(x) shifts b units left and if b>0, then the graph of f(x) shifts b units right.

If c>0, then the graph of f(x) shifts c units upward and if c>0, then the graph of f(x) shifts c units downward.

The value of b is -9 because the graph shifts 9 units right. The value of k is 1/6. If the graph of function f(x)reflect across x-axis, therefore the function is defined as -f(x).

g(x)=\frac{1}{6}(-f(x-9))

g(x)=-\frac{1}{6}(0.2)^{x-9}            [\because f(x)=-(0.2)^x]

Therefore the function g(x) is defined as g(x)=-\frac{1}{6}(0.2)^{x-9}.

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