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4 years ago

If y=12x-7 were changed to y=12x+1, how would the graph of the new function compare to the original?

2 answers:

6 0

A) y=12x-7 and b) y=12x+1.

1st, these 2 functions are parallel since they have the same slope (m=12)
2nd in a) For x = 0, y = -7, meaning the line intersects with y-axis at y=-7
3rd in b) For x = 0 , y = +1, meaning the line intersects with y-axis at y=1

Likurg_2 [28]4 years ago

4 0

When we have the equation of a line y=mx+b, the "b" value tells you how high or low the line is. your b value when from -7 to 1. with the -7, each point on the line would have been lowered 7 units from its original position. changing the -7 to a 1 will raise the line y=12x+1 8 units, because 1-(-7) = 1+7 = 8.

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If i have 22 more questions to go out of 42 what question am i on?

sergejj [24]

Answer: 20

Step-by-step explanation:

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3 years ago

A new soup recipe contains 33\%33%33, percent less sodium per serving than the old soup recipe. The old soup recipe contained xx

Mashcka [7]

Answer:

0.67x mg

Step-by-step explanation:

expression that could represent the amount of sodium per serving, in milligrams, in the new soup recipe

33% less than the old

old contains x mg

new soup: x - 33%x = x - 33/100x = x - 0.33x = 0.67x mg

67%x mg

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3 years ago

Read 2 more answers

Brian & Paul share a lottery win of £7800 in the ratio 1 : 4. Brian then shares his part between himself, his wife & the

Elza [17]

Answer:

The wife gets £468 over the son

Step-by-step explanation:

Firstly, we shall calculate the total amount Brian made from from what he and Paul won.

The ratio is 1:4, meaning for every 2 part Brain takes, Paul takes 4

Paul’s share is thus 1/5 * 7800 = 7800/5 = £1560

Now we have another ratio for sharing the amount Brain has at home.

The total ratio here is 1+6+3 = 10

The share of the wife will be 6/10 * 1560 = 6 * 156 = 936

The son share is half of this which is 936/2 = 468

The difference between their shares is £936-£468 = £468

3 0

4 years ago

I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli

dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it grows by using t=25 minutes and $\frac{A_{0}}{A} =2$ or double the amount at that time. The first step we always take is to divide $A_0$ by A.

$[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}$

$2=e^{(25)r}$

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r$

We know $lne=1$ so we were able to cancel it out and divide both sides by 25.

We solve with a calculator $\frac{ln2}{25} =r\\0.0277=r$

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is $A=A_0e^{0.0277t}$ .

We repeat the step above substituting A=5,000,000, $A_0$ =50, and r=0.02777. Then solve for t.

$5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t$

t=415.63 minutes

6 0

4 years ago

Ashley is making $500 a week at her job . She receives a 20 percent pay raise. A year later she takes a 5 percent cut. How much

MaRussiya [10]

Answer:

$570

Step-by-step explanation:

500 * 1.2 = $600 after 20% pay raise

600 * .95 = $570 after 5% pay cut

8 0

3 years ago

Read 2 more answers