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oksian1 [2.3K]
3 years ago
9

Which graph represents this equation? y − 4 = -3(x + 5)

Mathematics
1 answer:
asambeis [7]3 years ago
6 0

Answer:

Slope: -3

y-intercept (0, -11)

Step-by-step explanation:

Basically the one that is going down and to the right slowly

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What are the slope and why intercept shown on the graph below
viktelen [127]
Hello!

Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:

\frac{ y_{1}- y_{2}  }{ x_{1} - x_{2} }

The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:

\frac{5(-5)}{0-4}

Simplify:

\frac{5+5}{-4}

\frac{10}{-4}

\frac{-5}{2}

The slope is \frac{-5}{2}.

Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.

I hope this helps!
3 0
3 years ago
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Can anyone help me on this problem? Please it doesn’t make sense to me...
Sav [38]

Answer:

6

Step-by-step explanation:

Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:

120/(n+24) = (120/n) -16

Multiplying by n(n+24) gives ...

120n = 120(n+24) -16(n)(n+24)

0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms

n^2 +24n -180 = 0 . . . . . . . . . . . . . divide by -16 to make the numbers smaller

(n +30)(n -6) = 0 . . . . . . . . . . . . . . factor the quadratic

The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.

The woman bought 6 items.

_____

Check

When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.

3 0
3 years ago
What is the value of x? (There should be an image) ​
skad [1K]

Answer:

22

Step-by-step explanation:

6 0
1 year ago
Simplify: −6( 1 4 x - 2 3 x + 5 6 x)
Kisachek [45]

Answer:

= - 282x

Step-by-step explanation:

- 6(14x - 23x + 56x)

= - 84x + 138x - 336x

= 54x - 336x

= - 282x

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3 years ago
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Who should fill out the W-2 form? a. the taxpayer's employer b. the taxpayer c. a qualified tax professional d. the IRS
Eva8 [605]

Answer:

A. the taxpayers employer

Step-by-step explanation:

My test said it was right

5 0
3 years ago
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