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nikdorinn [45]
3 years ago
14

Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0

Mathematics
1 answer:
Ivan3 years ago
7 0

Answer:

<h2>x = 1/8 , - 1</h2>

Step-by-step explanation:

8x² + 7x - 1 = 0

Rewrite 7x as a difference

That's

8x² + 8x - x - 1 = 0

Factorize

8x( x + 1) - ( x + 1) = 0

(8x - 1)( x + 1) = 0

8x - 1 = 0 x + 1 =0

8x = 1 x = - 1

x = 1/8

The solutions are

<h3>x = 1/8 , - 1</h3>

Hope this helps you

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Last week Amelia runs 5 miles in 10 minutes and she jogs 8 miles in 15 minutes. At this rate, how many total miles if she spent
Lady_Fox [76]

Answer:

46 MI

Step-by-step explanation:

5:10

8:15

X:60

Y:30

30+16

46

3 0
3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
barxatty [35]

Step-by-step explanation:

I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.

y = -16x² + 64x + 89

shows us that the tower is 89 ft tall (the result for x = 0, at the start).

anyway, if the original assumption is correct, then we need to solve

0 = -16x² + 64x + 89

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/)2a)

in our case

a = -16

b = 64

c = 89

x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =

= (-64 ± sqrt(4096 + 5696))/-32 =

= (-64 ± sqrt(9792))/-32

x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s

x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s

the negative solution for time is but useful here (it would be the time calculated back to ground at the start).

so, x2 is our solution.

the rocket hits the ground after about 5.09 seconds.

5 0
2 years ago
a company charges a shipping fee that is 4.5% of the purchase price for all items at ships.what is the fee to ship an item that
Pavlova-9 [17]

Answer:

The answer is $2.52.

Step-by-step explanation:

56 x .045= $2.52

6 0
3 years ago
What is 4and2/14 as an improper fraction in lowest terms
julia-pushkina [17]

Answer: 58 14ths

Step-by-step explanation:

multiply 14 by 4 to get 56 14ths, then add the 2

6 0
2 years ago
Read 2 more answers
A farmer is building a new silo. The circular silo is 27 meters tall and has a radius of 14 meters. What is the area of the base
Aleks [24]

Answer:

<em>615.44m²</em>

Step-by-step explanation:

The base of the silo is a circle

Rea of the base of the silo = πr²

r is the radius of the silo

Given

radius r = 14m

Area of the base of the silo = π(14)²

Area of the base of the silo = 3.14(196)

Area of the base of the silo = 615.44

<em>Hence the area of the base of the silo is 615.44m²</em>

3 0
3 years ago
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