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2 years ago

Someone please help me with this question And you can get 20 points

Mathematics

1 answer:

Mariana [72]2 years ago

6 0

$\text{Consider the slope - intercept form} ~y = mx +c,\\\\ \text{where m is the slope and and c is the y-intercept.}\\\\(a) \\\\y = -\dfrac 12 x +8 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =}-\dfrac 12 ~ \text{and}~ \text{y - intercept , c =8}\\\\(b)\\\\y = 9x -2 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =9}~ \text{and}~ \text{y - intercept ,}~ c =-2\\\\$

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There are 25 kids in a class, and the number of boys is 2/3 of the number of girls. How many boys and how many girls are in this

Ksju [112]

25 kids in all
2xboys:3x girls

so the equation would be
2x+3x=25
solve,
5x=25
/5 /5
x=5
2x=10
3x=15

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3 years ago

The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at

Ahat [919]

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3 years ago

Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)

Bezzdna [24]

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula $y = mx + b$ . We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of the given points into it. Then, simplify to find the slope, or $m$ :

$m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1$

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula $y-y_1=m(x-x_1)$ and substitute values for $m$ , $x_1$ , and $y_1$ . From there, we can convert the equation into slope-intercept form.

Since $m$ represents the slope, substitute 1 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

$y-3=1(x-0)\\y-3 = x\\y = x + 3$

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3 years ago

Which equation has a graph that is a parabola with a vertex at (-2, 0)?

klemol [59]

Answer: y = (x+2)^2

Aka: B

Step-by-step explanation:

Did it on edge just now !

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3 years ago

Tommy has a pet monkey. Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana to

Kipish [7]

So, if tom eats 10 bananas in 10 days

than, monkey have eaten 40 apples and 20 bananas

hope this helped

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3 years ago