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lora16 [44]
3 years ago
11

if y=2x+1 were changed to y=1/2x+1, how would the graph of the new function compare with the first one? A. it would be steeper B

. it would be shifted left C. it should be shifted down D. it would be less steep

Mathematics
2 answers:
almond37 [142]3 years ago
8 0
D. It would be less steep.

The y-intercept remains the same.

melamori03 [73]3 years ago
6 0

Answer:

It would be more steeper

Step-by-step explanation:

Here we are given with two pair of linear equations . We have to determine if the second equation is steeper than the first one.

We can find this with the help of slope of the lines.

Our equations are given in slope intercept that

y=mx+c

where m is slope and c is the y intercept. comparing it with the equations

Line 1 : y=2x+1

m=2

c=1

Line 2 : y(1/2)x+1

Slope m=(1/2)

c=1

Hence the slope of second line is less than the first line hence it is steeper.

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At the end of a​ year, the gross debt of a country stood at about ​$15 trillion. Express this amount in dollars per​ person, ass
Ilia_Sergeevich [38]

Answer:

The country's debt is $ 48,543.68 per person.

Step-by-step explanation:

Given that at the end of a year, the gross debt of a country stood at about $ 15 trillion, to determine this amount in dollars per person, assuming that the population of the country is about 309 million, the following calculation must be done:

15 trillion = 15,000,000,000,000

15,000,000,000,000 / 309,000,000 = X

15,000,000 / 309 = X

48,543.68 = X

Therefore, the country's debt is $ 48,543.68 per person.

4 0
3 years ago
Sarah said that 0.000 01 is bigger than 0.001 because the first number has more digits to the right of the decimal point. Is Sar
Gre4nikov [31]
I DONT UNDERSTAND YOUR QUESTION
7 0
3 years ago
Suppose the demand for a certain item is given by:
Marysya12 [62]

Answer:

a. D'(p) = -10p - 6

b. There is a decrease of 96 units of demand for each dollar increase

Step-by-step explanation:

The demand function is:

D(p) = - 5p^2-6p+400

(a) The derivate of the demand function with respect to price gives us the rate of change of demand:

\frac{dD(p)}{dp}=D'(p) = -10p-6

(b) When p = $9, the rate of change of demand is:

D'(9) = -10*9-6\\D'(9) = -96\ \frac{units}{\$}

This means that, when p = $9,  there is a decrease of 96 units of demand for each dollar increase.

6 0
3 years ago
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15. 7 inches, so the equ
brilliants [131]

The lengths that make the sense for the value of b are 0.5 inches and 2 inches.

<h2>Given </h2>

An isosceles triangle has two sides of equal length, a, and a base, b.

The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.

<h3>What is the triangle inequality theorem?</h3>

If two sides of a triangle are unequal, the longer side has a greater angle opposite to it.

\rm a+a > b\\\\2a > b

The equation of the perimeter of the triangle;

\rm 2a+b = 15.7\\\\2a = 15.7-b\\\\a = \dfrac{15.7-b}{2}

1. Substitute b = 0.5 in the equation;

\rm a = \dfrac{15.7-b}{2}\\\\  a = \dfrac{15.7-0.5}{2} \\\\ a = \dfrac{15.2}{2}\\\\a = 7.6

Then,

Verify the triangle inequality theorem;

0.5 + 7.6 > 7.6 is true

7.6 + 7.6 > 0.5 is true

2. Substitute b = 2 in the equation;

\rm a = \dfrac{15.7-b}{2}\\\\  a = \dfrac{15.7-02}{2} \\\\ a = \dfrac{13.7}{2}\\\\a = 6.85

Then,

Verify the triangle inequality theorem;

0.5 + 76.85 > 6.85 is true

6.85 + 6.85 > 2 is true

Hence, the lengths that make the sense for the value of b are 0.5 inches and 2 inches.

To know more about the Triangle inequality theorem click the link given below.

brainly.com/question/1026055

5 0
2 years ago
Please helppppp!!!!!!
astra-53 [7]

Answer:

$7.44

Step-by-step explanation:

4.96/8= .62 per ounce

.62 x 12 = $7.44

4 0
3 years ago
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