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3 years ago

5

Let f(x)=7^x and g(x)=7^x+2-4. Which transformations are needed to transform f(x) to the graph g(x)?

1 answer:

lidiya [134]3 years ago

6 0

Answer:

4. vertical translation 4 units down

6. horizontal translation 2 units to the right

Step-by-step explanation:

Given $f(x)=7^x$ and $g(x)=7^{x+2}-4$

1. Adding 2 to x means horizontal translation 2 units to the right.

2. Subtracting 4 from the function $7^{x+2}$ means vertical translation 4 units down.

So, to transform the graph of the function f(x) to the graph of the function g(x), you need to translate the graph of the function f(x) horizontally 2 units to the right and vertically 4 units down.

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16y5+4y5-12y3+15y3?<br> What is the simplified form?

Eddi Din [679]

Answer:

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3 years ago

Read 2 more answers

Two chemists working for a chicken fast-food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. Wh

a_sh-v [17]

Answer:

Check the explanation

Step-by-step explanation:

Let $\overline{x}$ and $\overline{y}$ be sample means of white and Jesse denotes are two random variables.

Given that both samples are having normally distributed.

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Also we have given the variance is constant

A)

We can test hypothesis as

$H0: \mu_{1} = \mu_{2}H1: \mu_{1} > \mu_{2}$

For this problem

Test statistic is

$T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}$

Where

$s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}$

We have given all information for samples

By calculations we get

s=2.41

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Here significance level is 0.05

Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.

We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.

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3 years ago

Find the range of the function y=-x^2-3x when the domain is {-5,0,2}

umka21 [38]

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Step-by-step explanation:

The range is the set of output values for the domain (the set of inputs).

When x=-5, y= $-(-5)^{2}-3(-5)=-10$ .
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So, the range is $\boxed{\{-10, 0 \}}$

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2 years ago