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Ad libitum [116K]
3 years ago
11

Which equation does the graph of the systems of equations solve? quadratic graph opening down and quadratic graph opening up. Th

ey intersect at negative 4, 0 and negative 3, negative 1.
x2 − 2x + 8 = x2 − 8x − 16
x2 + 6x + 8 = −x2 − 8x − 16
−x2 − 2x + 8 = 2x2 − 8x − 16
−x2 − 2x + 8 = 2x2 − 8x + 16

Mathematics
1 answer:
Ghella [55]3 years ago
5 0
The quadratics of the 2nd choice are the only ones that go through both points (-4, 0) and (-3, -1).

x² +6x +8 = -x² -8x -16

_____
The quadratic with those two points as solution will be of the form
.. a(x +4)(x +3) = 0
.. a(x^2 +7x +12) = 0
When you subtract one side or the other to put the equation in this form, only the 2nd selection matches:
.. 2(x^2 +7x +12) = 0

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Kelly's bill at a restaurant came to $21.52. If
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$3.87 for the 18% tip.
6 0
3 years ago
The figure below shows a shaded rectangular region inside a large rectangle:
pshichka [43]

Answer:

b. 58%

Step-by-step explanation:

Calculate the area of the entire rectangle using the formula A = lw.

The lowercase "L" is for length.

"w" is for width.

The lighter square is 10 units long by 5 inches wide.

A = lw

A = (10 in)(5 in)   Multiply

A = 50 in²

Calculate the area for the shaded rectangle, 7 inches by 3 inches.

A = lw

A = (7 in)(3 in)    Multiply

A = 21 in²

Calculate the area for the non-shaded region by subtracting the shaded area from the total area.

50 in² - 21 in² = 29 in²

The chance that a point in the large rectangle will NOT be in the shaded region is 29/50.

Convert this fraction to decimal form by using a calculator. Divide the top number by the bottom number.

29/50 = 0.58

0.58 is in decimal form. To convert it to a percentage, multiply the number by 100.

0.58 = 58%

Therefore the probability that a point chosen inside the large rectangle is not in the shaded region is 58%.

5 0
3 years ago
Determine the number of solutions for each quadratic.
DiKsa [7]

Answer:

1. Technically 2, but might be 0 in your teacher's opinion.

2. 1

Step-by-step explanation:

Solving problem one.

So I don't know if you have learned about imaginary numbers, but if you have, then you would end up with two answers if you plugged in the quadratic formula.

If you haven't learned about imaginary numbers, then I would say your best option would be to write 'No real solution' since there are technically 2 solutions.

Solving problem two.

Turns out this quadratic has a special property and it's actually a square of one equation. You can find out by just factoring the equation.

It's (3x-2)^2.  Since it's squared, that means that only 2/3 would work as x in this equation.

4 0
3 years ago
a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes d
Pachacha [2.7K]

Answer:

Step-by-step explanation:

The volume of a cube is

V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so

n(1/2)^3=10, where n will be the number of these small cubes

n(1/8)=10 upon multiplying each side by 8

n=80

So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3

6 0
3 years ago
Pls help ASAP!! Find the missing side using the rules for 45-45-90 and 30-60-90 right triangles
kifflom [539]

Answer:

oops this isn't the answer but hey L homie lol swaggy anyways lemme try and help

4 0
2 years ago
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