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2 years ago

Create a table for the equation with a y-intercept of 15 and a slope of -5. What is the output when x is -10?

Mathematics

1 answer:

Verizon [17]2 years ago

6 0

Answer:

The output is 65 when x is -10.

Step-by-step explanation:

y=mx+b is the easiest form to understand visually what the slope and intercept is.

m is the slope and b is the y-intercept. Replace both of these variables respectively with their appropriate values. In this case, the slope (m) is -5 and y-intercept is 15.

Equation looks like this: y=-5x+15

What is the output when x is -10? Replace x with 10, and your output is the y value.

$y=-5(-10)+15\\y=50+15\\y=65$

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Find three consecutive even integers whose sum is 200 more than the smallest integer.

Alexeev081 [22]

X, X+2, X+4 ARE THE 3 POSITIVE CONSECUTIVE INTEGERS.
X(X+2)=8+38(X+4)
X^2+2X=8+38X+152
X^2+2X-38X-8-152=0
X^2-36X-160=0
(X-40)(X+4)=0

X-40=0
X=40 ANSWER FOR THE FIRST INTEGER.
40+2=42 FOR THE SECOND INTEGER.

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3 years ago

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What is the recursive rule for the following sequence: -9, -2, 5, 12, ….

tino4ka555 [31]

Answer:

The answer is option (C)=an-1+7

Step-by-step explanation:

A recursive rule is a formula that in which each term is expressed as a function of its preceding term(s), meaning in order to get to the nth term you have to express it in a form of the term that comes before it. In our case the a(n-1) term

So for the sequence -9, -2, 5, 12

The nth term is any number on the sequence and

-2 is the a(n-1) term for -9

5 is the a(n-1) term for -2

12 is the a(n-1) term for 5

So we need to find out what we have to do to the preceding term to get the next.

To get -2 from -9 we have to add 7 to -9; -9+7=-2

To get 5 from -2 we have to add 7 to -2; -2+7=5

To get 12 from 5 we add 7 to 5; 7+5=12

So the recursive rule would be= a n-1+7

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3 years ago

For each 11 mm of coloured fabric Nick uses to make his curtains, he also uses 2 cm of white fabric. Express the amount of white

defon

Answer:

The amount of white fabric to coloured fabric as a ratio is 20:11

Step-by-step explanation:

We are given that For each 11 mm of colored fabric Nick uses to make his curtains, he also uses 2 cm of white fabric.

Length of colored fabric = 11 mm

Length of White fabric = 2 cm

1 cm = 10 mm

2 cm = 20 mm

So, length of white fabric = 20 mm

So, Ratio of the amount of white fabric to coloured fabric = $\frac{20}{11}$

Hence the amount of white fabric to coloured fabric as a ratio is 20:11

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3 years ago

If the first equation in a linear system is 4x - 2y = -2 what would the second equation have to be for the system to have infini

alekssr [168]

Answer:

<h3>The question, </h3>

<h3>Let me explain, </h3>

<h3>For infinity many solutions </h3>

They must be parallel to each other,

For instance,

If 4x - 2y = - 2 is the equation then,

<h3>Another equation be 4x - 2y +k = </h3>

Where k can be any numerical value.

<h3 />

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2 years ago

Rewrite the faction with the indicate deramnator<br><br> 9/2 = ?/12?

Sphinxa [80]

Answer:

Step-by-step explanation:

9/12=x/12

9*12=108

108/2=54

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2 years ago

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