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2 years ago

(PLEASE HELP/NO SPAM) Which equation shows the function y=2^x translated 4 units left and 2 units down?

Mathematics

1 answer:

lianna [129]2 years ago

5 0

Answer:

The answer is (h).

Step-by-step explanation:

When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.

The function becomes

y = 2^(x+4) -2.

Finally, you shift -2 to the same side as y.

This becomes

y+2 = 2^(x+4) which is (h)

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(b) What portion of the official U.S. poverty threshold (roughly $29,000 for a family of four) is met by the World Bank’s measur

otez555 [7]

World Bank's threshold for poverty is $1.25 per person per day.
For a family of four this gives:
Daily income = (number of people) * threshold
Daily income = 4 * $1.25
Daily income = $5
For a year this is:
Yearly income = (daily income) *365
Yearly income = $5 *365
Yearly income = $1825

U.S. poverty threshold is set at $29000. Portion of threshold can be calculated as:
$Portion\text{ }of\text{ }threshold= \frac{Poverty\text{ }threshold\text{ }(World\text{ }Bank)}{Poverty\text{ }threshold\text{ }(U.S.)} *100\% \\ \\ Portion\text{ }of\text{ }threshold= \frac{1825}{29000} *100\% \\ \\ Portion\text{ }of\text{ }threshold=6.29\%$

The poverty threshold measured by World Bank is 6.29% of the U.S. poverty threshold.

5 0

2 years ago

I need help plz plz plz help me ASAP. And SHOW YOUR WORK

antoniya [11.8K]

R= 8

C= 2,5•r+15
C= 2,5•8+15
C= 20+15
C= 35

Nina's total cost will be 35 $, £, € (i don't know which of them)

4 0

2 years ago

Read 2 more answers

Write an equation of the line in point slope form parallel to y=1/3x-5 through point (3,-7)

Mashcka [7]

Hmmm so, parallel lines have the same slope, so a line that's parallel to y=1/3x-5, will also have the same slope as that one, what would that be anyway? $\bf y=\stackrel{slope}{\cfrac{1}{3}}x-5$ , well, low and behold, since that equation is in slope-intercept form already, we can see is just 1/3.

so, what is the equation of a line whose slope is 1/3 and runs through 3, -7?

 $\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ 3 &,& -7~)
\end{array}
\\\\\\
% slope = m
slope = m\implies \cfrac{1}{3}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-7)=\cfrac{1}{3}(x-3)\implies y+7=\cfrac{1}{3}(x-3)$

5 0

2 years ago

Read 2 more answers

Eli is following this recipe to bake bread rolls.

notsponge [240]

Answer:

500 g flour = 600 g

6*1.2 g salt = 7.2 g

12*1.2 g yeast = 14.4 g

30 mL oil = 36 mL

360 mL water = 432 mL

Step-by-step explanation:

10 bread rolls requires 500g of flour.

Eli uses 600g of flour which is 1.2 times the amount needed for 10 bread rolls.

This means that 1.2 * 10 bread rolls are made which is 12 bread rolls.

Multiply the remaining ingredients by 1.2:

500 g flour = 600 g

6*1.2 g salt = 7.2 g

12*1.2 g yeast = 14.4 g

30 mL oil = 36 mL

360 mL water = 432 mL

3 0

2 years ago

For questions 3 - 5, answer the questions about the equations.

mrs_skeptik [129]

Answer:

infinite solutions

Step-by-step explanation:

Eliminate parentheses and collect terms:

3x -12 +5 -x = 2x -7

2x -7 = 2x -7

This is true for any value of x. There are an infinite number of solutions.

6 0

2 years ago