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3 years ago

Identify the slope and y-intercept of the graph of the equation y=12x−5 . slope:__

1 answer:

3 0

The slope is 12 and the y-intercept is -5

Y=mx+b

Slope = m

y-intercept = b

Therefore the slope is 12 and the y-intercept is -5

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Malcolm buys a 5/6-pound bag of black beans and a 3/4-pound bag of pinto

Sav [38]

Find the common denominator of 5/6 and 3/4 then add

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3 years ago

Read 2 more answers

What is the nth term rule of the linear sequence below? 15 , 7 , − 1 , − 9 , − 17 , . . .

Doss [256]

You can see that you're constantly subtracting 8 to get the next number. So, we have

$a_1 = 15$

$a_2 = a_1-8$

$a_3 = a_2-8 = (a_1-8)-8=a_1-2\cdot 8$

$a_4=a_1-3\cdot 8$

$a_5=a_1-4\cdot 8$

So, as you can see, to get the n-th term we must subtract (n-1) times 8 from the original number.

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3 years ago

3. Your friend shows you a scale drawing of her apart-

andrey2020 [161]

Answer:

The answer is 20 feet

Step-by-step explanation:

We know that her apartment sketch is 6 by 4 inches.

If the 6 inch side is actually 30 feet and 6 goes into 30 5 times, we should multiply 4 by 5 to get proportionate answers.

Therefore her apartment is 20*30 feet

Hope this helps

8 0

2 years ago

Equation with a slope of -2 and point of (4,7)

s344n2d4d5 [400]

Answer:

y=-2x+15

Step-by-step explanation:

So first we can write it in point slope form.

That is y-y1=m(x-x1)

y1 is the y coordinate

m is the lope

x1 is the x coordinate

This means that the equation is:

y-7=-2(x-4)

We can then convert it to slope intercept form which is

y=mx+b

y-7=-2x+8

y=-2x+15

3 0

3 years ago

Read 2 more answers

George observes that for every increase of 1 in the value of x, there is a increase of 60 in the corresponding value of y. He cl

Brums [2.3K]

Hi there!

FACTS :

To see if multiple ratios are proportional, you can write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportionnal ratios. You can also write them as fractions and divide the numerator (top number) by its denominator (bottom number), and compare the decimal numbers the same way you would compare the fractions (I personnaly find this method easier because you don't need to simplify the fractions).

STEPS TO ANSWER:

x = 1 ; y = 90 → $\frac{1}{90} =$ 1 ÷ 90 = 0.01111111...

x = 2 ; y = 150 → $\frac{2}{150} =$ 2 ÷ 150 = 0.0133333...

x = 3 ; y = 210 → $\frac{3}{210} =$ 3 ÷ 210 = 0.01428571

x = 4 ; y = 270 → $\frac{4}{270} =$ 4 ÷ 270 = 0.0148148...

x = 5 ; y = 330 → $\frac{5}{330} =$ 5 ÷ 330 = 0.01515152

** You didn't really need to calculate them all because even the first two decimal numbers weren't equivalent, but I wanted to show you the whole process so I calculated them all.

⇒ If you compare all the decimals you got, you can easily see that they are not the same, which means that the ratios between the values of "x" and the values of "y" are not proportional. Therefore, George's reasoning wasn't good.

There you go! I really hope this helped, if there's anything just let me know! :)

5 0

3 years ago