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2 years ago

What is the slope-intercept equation of the line below? A.y=2x+3 B.y=-2x-3 C.y=2x-3 D.y=-2x+3

Mathematics

1 answer:

PtichkaEL [24]2 years ago

7 0

Answer:

Step-by-step explanation:

First, lets find the y-intercept. The y-intercept where the line passes through the y-axis. In this case, it is -3.

Now, to find the slope, lets find the next non-decimal point(that way it is easier on us). That would be (1,-1). Now, to get to this point from the y-intercept, we have to go left 1 unit, and up 2 units. So, the change in y over change in x = 2/1 or 2. Now, using this information, we can form the equation:

y = 2x + -3. or y = 2x - 3.

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Mike and Alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice. How many bottles did Alice recyc

ValentinkaMS [17]

Answer:

The number of bottles recycle by Alice is 21.

Step-by-step explanation:

Given:

Mike and Alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice.

Now, to find the quantity of bottles Alice recycle.

Let the number of bottles recycle by Alice = $x$ .

And the number of bottles recycled by Mike = $6x$ .

So, according to question:

$x+6x=147$

⇒ $7x=147$

Dividing both sides by 7 we get:

⇒ $x=21$ .

Therefore, the number of bottles recycle by Alice is 21.

8 0

3 years ago

Help please I need the correct answer

patriot [66]

Answer:

Do it on standard form

Step-by-step explanation:

Doing it by standard form ensures simplifying

3 0

3 years ago

The sum of a number and forty-six

ad-work [718]

$\textsf{Hey there!}$

$\mathsf{\star \ The\ sum\ of\ a\ number\ \&\ forty-six}$

$\frak{Let's\ lable\ the\ keypoints\ so\ it\ can\ be\ easier\ to\ solve}$

$\bullet \ \textsf{The word \bf{\underline{SUM}}}\textsf{\ means\ add/addition}}$

$\bullet\textsf{ \underline{"A number"} is an unknown number so we can lable it as \bf{x}}$

$\bullet\textsf{ \underline{forty-six} is 46}$

$\textsf{The sum (+) does in the middle while \underline{x} \& \underline{46} will either be on left/right}$

$- \ \textsf{We can say that x is on your left}$

$-\ \textsf{ + can be in your middle}$

$- \ \textsf{\& lastly 46 can be on your right}$

$\boxed{\textsf{Thus, your answer SHOULD LOOK like: \boxed{\huge\text{\bf{x + 46}}}}}\checkmark$

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4 0

3 years ago

What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)? 0 5 10 15

Elanso [62]

Answer: Second option is correct.

Explanation:

Since we have given that

$f(x)=3x^4+2x^3-x^2+2x-19$

And $g(x)=x+2$

To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.

So,

Here, we have,

$x+2=0\\\\x=-2$

So, we will find f(-2) which will give us the required remainder,

$f(-2)=3(-2)^4+2(-2)^3-(-2)^2+2(-2)-19\\\\f(-2)=(3\times 16)-(2\times 8)- 4-4-19\\\\f(-2)=48-16-36-4-19\\\\f(-2)=5$

Hence, Second option is correct.

7 0

3 years ago

If kendal payed $2,500 down and $150 each month for dealer one and at another dealer paid $3,000 down and $125 each month after

maxonik [38]

After 20 months. after 20 months the first dealer will cost 5500 and the second dealer will cost 5500
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3 years ago