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Marianna [84]
3 years ago
6

-4x + 7(x + (-2)) > -18

Mathematics
1 answer:
professor190 [17]3 years ago
3 0
-4x+7x-14
3x-14>-18
3x>-4
X>-4/3
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8 less then a number n is -13
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Answer:

equation: 8-n=13

answer: n = 21

Step-by-step explanation:

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If a recipe requires 400 grams of potatoes for four people, how many kilograms would be required for 12 people?
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Answer:

it is 1200

Step-by-step explanation

its direct proportions

so 4 x 3 = 12

400 x 3 = 1200

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A block of wood measures 9.5 inches by 1.5 inches by 8 inches. What is the volume of the block of wood?
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114 is the answer hope this helps good luck and god bless!
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2 years ago
Write the equation of the line that passes through (−3,1) and (2,−1) in slope-intercept form
Alex787 [66]

Answer:

y=-\frac{2}{5}x-\frac{1}{5}

Step-by-step explanation:

The equation of a line is y = mx + b

Where:

  • m is the slope
  • b is the y-intercept

First, let's find what m is, the slope of the line.

Let's call the first point you gave, (-3,1), point #1, so the x and y numbers given will be called x1 and y1.

Also, let's call the second point you gave, (2,-1), point #2, so the x and y numbers here will be called x2 and y2.

Now, just plug the numbers into the formula for m above, like this:

m = -\frac{2}{5}

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-\frac{2}{5}x + b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

  • (-3,1). When x of the line is -3, y of the line must be 1.
  • (2,-1). When x of the line is 2, y of the line must be -1.

Now, look at our line's equation so far: y=-\frac{2}{5}x + b. b is what we want, the --\frac{2}{5} is already set and x and y are just two 'free variables' sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,1) and (2,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want. The answer will be the same:

  • (-3,1). y = mx + b or 1=-\frac{2}{5} * -3 + b, or solving for b: b = 1-(-\frac{2}{5})(-3).b = -\frac{1}{5}.
  • (2,-1). y = mx + b or -1=-\frac{2}{5} * 2 + b, or solving for b: b = 1-(-\frac{2}{5})(2). b = -\frac{1}{5}.

See! In both cases, we got the same value for b. And this completes our problem.

The equation of the line that passes through the points  (-3,1) and (2,-1) is y=-\frac{2}{5}x-\frac{1}{5}

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2 years ago
DO NOT SEND ME PDFS OR LINKS WIL REPORT ANSWER CORRECTLY FOR BRAINLIEST
STatiana [176]

Answer:

7665

Step-by-step explanation:

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