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2 years ago

The function f(x) = x is translated such that the function describing the translated graph is g(x) = (x + 5)' + 2. Where

Mathematics

1 answer:

Tresset [83]2 years ago

8 0

Answer:

(-5, 2)

Step-by-step explanation:

g(x) = f(x -h) +k

is a translation of f(x) h units to the right and k units upward. Here, we seem to have h=-5 and k=2. That means the point (0, 0) has been translated 5 units to the left (to -5) and 2 units upward (to 2).

The translated location of (0, 0) is (-5, 2).

_____

We assume we're to ignore the apostrophe (') in the equation for g(x).

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What is the sum of the interior angles of the polygon shown below?

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Answer:

900

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3 years ago

Solve for p. 3/5(p - 3) = -4

VashaNatasha [74]

Answer:

p = 3.6666(repeating)

Step-by-step explanation:

3/5(p-3)=-4

We simplify the equation to the form, which is simple to understand

3/5(p-3)=-4

Simplifying:

+ 0.6*(p-3)=-4

Reorder the terms in parentheses

+( + 0.6p-1.8)=-4

Remove unnecessary parentheses

+ 0.6p-1.8=-4

We move all terms containing p to the left and all other terms to the right.

+ 0.6p=-4+1.8

We simplify left and right side of the equation.

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We divide both sides of the equation by 0.6 to get p.

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4 0

3 years ago

Molly earns a rebate each month on her movie tickets and books. She earns $0.25 for each movie ticket and $2 for each book. Last

UNO [17]

the algebraic expression is 4(0.25)+2x=17

STEP 1: Simplify both sides of the equation

1+2x=17 or 2x+1=17

STEP 2: Subtract 1 from both sides

2x=16

STEP 3: Divide both sides by 2

2x/2 = 16/2

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6 0

2 years ago

Read 2 more answers

n a study of the accuracy of fast food drive-through orders, Restaurant A had 314 accurate orders and 61 that were not accurate

Varvara68 [4.7K]

Answer:

a. 0.1576<p<0.2310

b. The two restaurants likely have similar order rates which are inaccurate.

Step-by-step explanation:

a. We first calculate the proportion, $\hat p$ :

$\hat p=\frac{61}{314}\\\\=0.1943$

-We use the z-value alongside the proportion to calculate the margin of error:

$MOE=z\sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\=1.645\times \sqrt{\frac{0.1943(1-0.1943)}{314}}\\\\=0.0367$

The confidence interval at 90% is then calculated as:

$CI=\hat p\pm MOE\\\\=0.1943\pm 0.0367\\\\=[0.1576,0.2310]$

Hence, the confidence interval at 90% is [0.1576,0.2310]

b. From a above, the calculated confidence interval is 0.1576<p<0.2310

-We compare the calculated CI to the stated CI of 0.147<p<0.206

-The two confidence intervals overlap each other and have the same value for 0.1576<p<0.206

-Hence, we conclude that the two restaurants likely have similar order rates which are inaccurate.

3 0

3 years ago