Solve the following:a) x^2 - 7x - 34 = 10

Mathematics

1 answer:

Slav-nsk [51]3 years ago

4 0

Answer:

x=-4; x=11

Step-by-step explanation:

x^2-7x-34-10=0

x^2+4x-11x-44=0

x(x+4)-11(x+4)=0

(x+4)(x-11)=0

x+4=0

x-11=0

x=-4

x=11

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The revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 + 2x – 80. The cost,

WINSTONCH [101]

SALES: 5x² + 2x – 80
- COST: 5x² – x + 100
= ------------------
PROFIT: 0x²+3x-180
(+3x because we subtracted a negative (-x), which is called adding, similarly taking away 100 from negative 80 is -180.)

Checking:
5x² + 2x – 80
5(500)²+2(500)-80 = 1,250,920

5x² – x + 100
5(500)² – (500) + 100= 1,249,600

Profit = 1,250,920 - 1,249,600 = 1,320

0(500)²+3(500)-180 = 1,320 YAY! {:-)

Double Checking:

5x² + 2x – 80
5(5000)²+2(5000)-80 = 125,009,920

5x² – x + 100
5(5000)² – (5000) + 100= 124,995,100

Profit = 125,009,920 - 124,995,100 = 14,820

0(5000)²+3(5000)-180 = 14,820 YAY! {:-)

3 0

4 years ago

Read 2 more answers

Please help!! Find A

Triss [41]

Answer:

(5/2)√13 ≈ 9.0139

Step-by-step explanation:

The longer hypotenuse is found using the Pythagorean theorem as ...

$\sqrt{8^2+12^2}=\sqrt{208}=4\sqrt{13}$

The right triangles are AA similar, and vertical sides correspond. Their ratio, smaller/larger is 5/8. That means the hypotenuse of the smaller triangle, A, is 5/8 of the hypotenuse of the larger one.

$A=\dfrac{5}{8}\cdot 4\sqrt{13}= \dfrac{5\sqrt{13}}{2}$