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3 years ago

If we changed the –0.14 to a 2 in the equation, what would happen to the graph?

1 answer:

6 0

If -0.14 is changed to 2, the graph would become a positive graph, or it would be steeper, because it has a positive slope

The equation of the graph is given as:

$y = -0.14x + 3$

The above equation is a linear equation, which is represented as:

$y =mx + c$

Where m represents the slope of the linear equation.

By comparison, we have:

$m = -0.14$

i.e. the slope of the equation $y = -0.14x + 3$ is -0.14

When -0.14 is replaced with 2, the equation becomes

$y = 2x + 3$

And the slope of the new equation $y = 2x + 3$ is

$m =2$

2 is greater than -0.14, and 2 is positive.

This means that the graph would become a positive graph, or it would be steeper, because it has a positive slope

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If one of the short sides of a 45-45-90 triangle equals 5, how long is the hypotenuse?

Alla [95]

Answer:

hypotenuse= 2 $\sqrt{5}$

Step-by-step explanation:

the triangle is equal tow side so it is two side =5 cm

then the hypotenuse by Phitagors theory the triangle hypotenuse =

$\sqrt{5^{2} +5^{2} }$ = 2 $\sqrt{5}$

5 0

3 years ago

Pedro has a total of 645 cents in dollar bills, dimes, and pennies. Which could be the money that he has?

Ivahew [28]

Answer:

a). The total money he has could be the first option (6 one dollar bills, 4 dimes, and 5 pennies)

b). 1,005 cents≠645 cents

c). 60,045 cents≠645 cents

d). 60,405 cents≠645 cents

Step-by-step explanation:

a). Step 1: Consider the total money for the first option

Total money=6 one dollar+4 dimes+5 pennies

where;

6 one dollar=6×1=6 dollars

1 dime=0.10 dollars,

4 dimes=(4×0.1)=0.40 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(6+0.40+0.05)=6.45 dollars

1 dollar=100 cents

6.45 dollars=(6.45×100)=645 cents

The total money he has could be the first option (6 one dollar bills, 4 dimes, and 5 pennies)

b). Step 2: Consider the total money for the second option

Total money=6 one dollar+40 dimes+5 pennies

where;

6 one dollar=6×1=6 dollars

1 dime=0.10 dollars,

40 dimes=(40×0.1)=4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(6+4+0.05)=10.05 dollars

1 dollar=100 cents

10.05 dollars=(10.05×100)=1,005 cents

1,005 cents≠645 cents

c). Step 3: Consider the total money for the third option

Total money=600 one dollar+4 dimes+5 pennies

where;

600 one dollar=600×1=600 dollars

1 dime=0.10 dollars,

4 dimes=(4×0.1)=0.4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(600+0.4+0.05)=600.45 dollars

1 dollar=100 cents

600.45 dollars=(600.45×100)=60,045 cents

60,045 cents≠645 cents

d). Step 4: Consider the total money for the fourth option

Total money=600 one dollar+40 dimes+5 pennies

where;

600 one dollar=600×1=600 dollars

1 dime=0.10 dollars,

40 dimes=(40×0.1)=4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(600+4+0.05)=604.05 dollars

1 dollar=100 cents

604.05 dollars=(604.05×100)=60,405 cents

60,405 cents≠645 cents

6 0

3 years ago

Your goal is to save $1200 to pay for next year's books and fees. How much must you save each month if you have 5 months to acco

Lady bird [3.3K]

All this is asking you is to find how much you need to save per month (limit of 5) in order to make your goal of $1200.

To solve this, simply divide 1200 by 5, which is the months, and you get $240, which is how much you have to save per month in 5 moths to reach your exact goal of $1200. If anything is confusing please ask :)

3 0

3 years ago

Read 2 more answers

Which equation should be used to answer “24 is 40% of what number?”

Mariana [72]

Answer:

24=40/100×x

Step-by-step explanation:

i think the equation is

24=40/100×x

24 is equal to 40 percent of a number which I have represented by x

I hope this helps

7 0

3 years ago

Read 2 more answers

The data set represents the number of rings each person in a room is wearingin arena

anastassius [24]

Answer:

2

Step-by-step explanation:

0, 0, 2, 2, 2, 3, 4, 6, 8

Min=0. Max=8. Median=2. LQ=2

UQ=4

4-2=2

8 0

3 years ago