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mezya [45]
3 years ago
12

The graph of the function f(x) = ax2 + bx +c (where a, b, and c are real and nonzero) has two x-intercepts. Explain how to find

the other x-intercept if one x-intercept is at (-b/a2 +3,0)
Mathematics
2 answers:
sveticcg [70]3 years ago
8 0

Recorded response:

The axis of symmetry is  -b/2a

The x-intercept shown is 3 units away from the axis of symmetry.

The other x-intercept also must be 3 units away from the axis of symmetry but on the opposite side.

Subtract 3 from the axis of symmetry.

The other x-intercept is  (-b/2a-3,0)

Olin [163]3 years ago
7 0
-b/2a is the formula to find the vertex of a parabola. If one of the intercepts is at (-b/2a + 3, 0), the other one must be at (-b/2a - 3, 0), since the two x-intercepts have to be the same distance from the vertex.
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kari74 [83]

Answer:

Answer: XII CCCXLV

Step-by-step explanation:

To convert 12,345 to Roman Numerals you have to take them apart into place values (ones, tens, hundreds).

Ten Thousands=10,000=X

Thousands=2,000=MM

Hundreds=300=CCC

Tens=40=XL

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Step-by-step explanation:

7 0
3 years ago
Select the system of linear inequalities whose solution is graphed.
elixir [45]

Answer:

y\geq 3x-1 ; x+3y\leq 6

Step-by-step explanation:

we know that

step 1

Find the inequality of the solid line x+3y=6

The solution is the shaded area below the solid line

therefore

The equation of the inequality is

x+3y\leq 6

step 2

Find the inequality of the solid line y=3x-1

The solution is the shaded area above the solid line

therefore

The equation of the inequality is

y\geq 3x-1

therefore

The system of linear inequalities is

y\geq 3x-1 ; x+3y\leq 6

5 0
3 years ago
what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube
dimaraw [331]
First, try 99^3 = 970299; therefore, it is not the least possible value. 

The above number is a multiple of 99, so we can factor this out to find the least possible value. So we try to factor 99: 

99 = 9 * 11
99 = 3^2 * 11^ 1

and 3^3 * 11^3 = 35937

The least possible value is 4^1 + 11^2 = 125. Its sum is 125 which is a perfect cube. 


4 0
3 years ago
ZA and ZB are supplementary angles. If mZA = (x + 6) and m
Ronch [10]

Answer:

za=24

Step-by-step explanation:

supplementary angles add up to equal 180

180=7x+x+30+6

step 1 combine like terms

180=8x+36

step 2 subtract 36 from each side

144=8x

step 3 divide each side by 8

x=18

now we just plug in 18 to x in x+6

18+6=24

4 0
2 years ago
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PLSSS HELPPP! I will give brainliest and 11 points!!
WARRIOR [948]

Answer:

B:

4 units right and six units up

4 0
3 years ago
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