MATHEMATICS MIDDLE SCHOOL

Which equation when graphed has X-intercepts at (8,0) and (-2, 0) and a y-intercept at (0-48)?

Answers

Answer 1

Answer:

Answer:

$y=3x^(2)-18x-48$

Step-by-step explanation:

we know that

The equation of a vertical parabola in factored form is equal to

$y=a(x-x1)(x-x2)$

where

a is a coefficient

x1 an x2 are the roots or x-intercepts

In this problem we have

$x1=8,x2=-2$

substitute

$y=a(x-8)(x+2)$

with the y-intercept (0,-48) find the value of a

substitute

$-48=a(0-8)(0+2)$

$-48=-16a$

$a=3$

The equation is equal to

$y=3(x-8)(x+2)\n \ny=3(x^(2)+2x-8x-16)\n \n y=3(x^(2) -6x-16)\n \ny=3x^(2)-18x-48$

Answer 2

Answer:

Answer: fx=3(x-8)(x+2) or answer C

Step-by-step explanation:

bc i said so

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Can I please get some help with problems (b) and (c)? I'm not sure how to figure it out. Diagram listed below.

Answers

Answer:

The slope of line r and s is $(k-n)/(j-m)$ .

Step-by-step explanation:

We are given the lines PQ and P'Q' represented by r and s.

The slope of a line having end points $(x_(1),y_(1))$ and $(x_(2),y_{})$ is given by $(y_(2)-y_(1))/(x_(2)-x_(1))$ .

B. Slope of line r.

Since, the line r have end points ( m,n ) and ( j,k ).

Slope = $(k-n)/(j-m)$ .

C. Slope of line s.

Since, the line r have end points ( m,n+e ) and ( j,k+e ).

Slope = $(k+e-(n+e))/(j-m)$

i.e. Slope = $(k+e-n-e)/(j-m)$

i.e. Slope = $(k-n)/(j-m)$

Hence, the slope of line r and s is $(k-n)/(j-m)$ .

The mean of 20 numbers is 18. If 3 is added to each of the first ten numbers, find the mean of the new set of 20 numbers.

Answers

x - sum of 20 numbers

$(x)/(20)=18\n x=360\n\n (x+3\cdot10)/(20)=(x+30)/(20)\n (360+30)/(20)=(390)/(20)=19.5$

Leslie needs324 inches of fringe to put aroundthe edge of a tablecloth. The fringe comes inlengths of 10 yards. If Leslie buys lpackageof fringe, how many feet of fringe will shehave left over?

Answers

3 feet = 1 yard
324 inches = 27 feet = 9 yards
10 yards = 1 package of fringe
10 yards - 9 yards = 1 yard or 3 feet

1 yard 3 feet is the answer

(4a-5)+(3a+6)

Adding polynomials

Answers

(4a-5)+(3a+6)=
=4a-5+3a+6=
=7a+1

$(4a-5)+(3a+6)=\n 4a-5+3a+6=\n 7a+1$

The ratio of X and 2 is not greater than 14

Answers

Well if it's not greater than, then it has to be less than or equal to...

x/2 <= 14
2 × x/2 <= 14 × 2
x <= 28

552945 rounded to the nearest hundred thousand

Answers

The answer is 600,000

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