Y=kx+b
A (1,-2) B (-2,-8)
Linear functions!

Answers

Answer 1

Answer: k=slope
b=y intercept

find slope
slope=(y2-y1)/(x2-x1)

(x,y)
(1,-2)
(-2,-8)

x1=1
y1=-2
x2=-2
y2=-8

slope=(-8-(-2))/(-2-1)=(-6)/(-3)=2/1=2

k=2
subsitute
y=2x+b
subsitute one point
(1,-2)
x=1,y=-2

-2=2(1)+b
-2=2+b
subtract 2
-4=b

y=2x-4

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What is –15 ÷3/5 ?

A.–25

B.–9

C. -1/9

D. -1/25

Answers

-15 is equivalent to -15/1 Now use keep change flip. -15/1*5/3
-15*5=-75
3*1=3
-75/3=-25 simplified
A is the answer

mike is taking a his social studies test . mike was only able to finish 1/6 of the test in 1/2 hour. how long will it take him to finish the test?

Answers

$1-(1)/(6)=(5)/(6)\n\n\begin{array}{ccc}(1)/(6)\ of\ the\ test&-&(1)/(2)\ h\n\n(5)/(6)\ of\ the\ test&-&x\ h\end{array}\ \ \ \ |cross\ multiply\n\n\n(1)/(6)x=(1)/(2)\cdot(5)/(6)\n\n(1)/(6)x=(5)/(12)\ \ \ \ \ |multiply\ both\ sides\ by\ 6\n\n\boxed{x=(5)/(2)=2.5\ (h)}\leftarrow time\ he\ will\ have\ to\ do\ the\ test\n\n\ntotal\ test\ time:2.5\ h+0.5\ h=3\ h$

1/2*6 = 3. It will take him 3 hours to finish his test if he continues on the same rate

8(3a + 7) = 8+3(6a - 6)

Answers

Answer:

a=11

Step-by-step explanation:

8(3a + 7) = 8+3(6a - 6)

24a+56=8+18a-18

24a-18a+56=8+18a-18a-18

6a+56=8-18

6a+56=-10

6a+56-56=-10-56

6a=-66

6a/6=-66/6

a=-11

Answer:

a = -11

Step-by-step explanation:

8(3a + 7) = 8+3(6a - 6)

= -11

The quotient of a number and 4 decreased by 8 is 5. What is the number?

Answers

Answer: 52

Step-by-step explanation:

Let's solve this equation step by step. The quotient of a number and 4 decreased by 8 is 5.

Step 1: Let's represent the unknown number as "x".

Step 2: The quotient of a number and 4 can be written as x/4.

Step 3: Decreased by 8 means subtracting 8 from the quotient, so we have (x/4) - 8.

Step 4: According to the equation, (x/4) - 8 = 5.

Step 5: Now, let's solve for x. Add 8 to both sides of the equation to isolate the x term.

(x/4) - 8 + 8 = 5 + 8

(x/4) = 13

Step 6: Multiply both sides of the equation by 4 to get rid of the fraction.

4 * (x/4) = 4 * 13

x = 52

Therefore, the number is 52.

Answer: 52

Step-by-step explanation:

First, we will write a mathematical equation to represent this situation. Let n be "a number."

$\displaystyle (n)/(4) -8=5$

Add 8 to both sides of the equation:

$\displaystyle (n)/(4)=13$

Multiply both sides of the equation by 4:

$\displaystyle n=52$

Round 38.86 to one decimal place

Answers

if you round to one decimal place it would be 38.9 because the last number is a biger number that 5 and that makes the number in front go up one number

38.9
Hope this helped :)

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