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3 years ago

If 9a+6b+4c=7, what is -24b-16c-36a

1 answer:

6 0

Rearrange the 2nd equation

-36a-24b-16c

divide the whole thing by 4 and you'll get
-9a-6b-4c

you'll realize it looks the same as your first equation except that all the + has become minus so the answer will be -7 instead for your new equation
-9a-6b-4c=-7

multiply the whole thing by 4 and you'll get
-36a-24b-16c = -28

so the answer you want is -28

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Monica [59]

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3 years ago

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Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.

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Adding K shifts the graph up that many units.

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3 years ago

3+ jk + k*3 when j=2 and k=6

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3 years ago

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Select the correct answer from each drop-down menu.

erik [133]

Answer:

Grades 6 and 8

Step-by-step explanation:

If the relationship of girls to boys in two different grades are proportional, they must have the same ratio. To tackle this problem, we can find the ratios of genders in each grade and compare them.

Step 1, finding ratios:

Finding ratios is just like simplifying fractions. We will reduce the numbers by their greatest common factors.

GRADE 6:

$9:12=\\3:4$

GRADE 7:

$12:18=\\2:3$

GRADE 8:

$15:20=\\3:4$

GRADE 9:

$25:36$

Can't be simplified!

Step 2:

Notice how grades 6 and 8 both had a ratio of 3:4. We can conclude that these two grades have a proportional relationship between girls and boys.

I hope this helps! Let me know if you have any questions :)

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3 years ago

Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$

Last step: substitute the slope and y intercept into y=mx+b.

$y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}$

That is the answer to this problem.

I hope this helps.

3 0

3 years ago