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Nadya [2.5K]
3 years ago
8

James creates the table shown to represent the function f(x)=x^2+8x+12.

Mathematics
1 answer:
Rasek [7]3 years ago
6 0
The table tells you that f(x)=0 at x=-6 and -2
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Fofino [41]

Yeah i cant see them either

7 0
3 years ago
PLEASE HELP WITH THIS ONE QUESTION
EastWind [94]

Answer:

x^2+2x+5

since 4_20=-16<0

7 0
2 years ago
What is the solution to the system of equations?
Dovator [93]

Answer:

<h2>(-10, 2, 6)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}x+3y+2z=8&(1)\\3x+y+3z=-10&(2)\\-2x-2y-z=10&(3)\end{array}\right\qquad\text{subtract both sides of the equations (1) from (2)}\\\\\underline{-\left\{\begin{array}{ccc}3x+y+3z=-10\\x+3y+2z=8\end{array}\right }\\.\qquad2x-2y+z=-18\qquad(4)\qquad\text{add both sides of the equations (3) and (4)}\\\\\underline{+\left\{\begin{array}{ccc}-2x-2y-z=10\\2x-2y+z=-18\end{array}\right}\\.\qquad-4y=-8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad y=2\qquad\text{put the value of y to (1) and (3)}

\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}

x+2(6)=2\\x+12=2\qquad\text{subtract 10 from both sides}\\x=-10

4 0
3 years ago
What are the coordinates of the circumcenter of this triangle?
Oduvanchick [21]

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

A(-2,5),B(-2,-1),C(8,-1)

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M=(\frac{-2-2}{2},\frac{5-1}{2})

M_A_B=(-2,2)

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

y=2 -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M=(\frac{-2+8}{2},\frac{-1-1}{2})

M_B_C=(3,-1)

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

x=3 -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

y=2 -----> equation A

x=3 -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

3 0
2 years ago
if tom has 6 apple and he gave his mom 3 apple and and she made a apple pie how many apple are left. ​
ch4aika [34]

Answer:

depends, if he has 6 then he still has 6

if he gave her 3 of his six, then ate the pies, he has 3

Step-by-step explanation:

5 0
2 years ago
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