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ohaa [14]
3 years ago
8

Solve this quadratic equation using factorization 8xsquared-14x-4=0

Mathematics
2 answers:
Inga [223]3 years ago
7 0
X=2 is the answer for this question.
antiseptic1488 [7]3 years ago
6 0

Answer:

x = - \frac{1}{4}, x = 2

Step-by-step explanation:

Given

8x² - 14x - 4 = 0 ( divide through by 2 to simplify )

4x² - 7x - 2 = 0

To factorise the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × - 2 = - 8 and sum = - 7

The factors are - 8 and + 1

Use these factors to split the x- term

4x² - 8x + x - 2 = 0 ( factor the first/second and third/fourth terms )

4x(x - 2) + 1(x - 2) = 0 ← factor out (x - 2) from each term

(x - 2)(4x + 1) = 0

Equate each factor to zero and solve for x

4x + 1 = 0 ⇒ 4x = - 1 ⇒ x = - \frac{1}{4}

x - 2 = 0 ⇒ x = 2

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A random number generator is used to select a number from 1 to 100 what is the probability of selecting number 151
topjm [15]
0.

It is impossible for 151 to be selected, as it is outside the range of numbers (1 to 100) that can be selected. Therefore the probability is 0.
4 0
3 years ago
1. (02.01 MC) Celine has a bottle that contains 20% milk and the rest water. The bottle has 1 liter of water. Part A: Write an e
krok68 [10]

Answer:

A. Total number of liters = 1.25 liters

B. Milk = 0.25 liters

Step-by-step explanation:

Let

x = total number of liters ( milk + water )

Milk = 20% of x

= 0.2x

Water = 1 liter

Total number of liters = milk + water

x = 0.2x + 1

x - 0.2x = 1

0.8x = 1

Divide both sides by 0.8

x = 1 / 0.8

= 1.25

x = 1.25 liters

Total number of liters = 1.25 liters

B.

Liters of milk in the bottle = Total number of liters - liters of water

= 1.25 liters - 1 liter

= 0.25 liter

Milk = 0.25 liters

8 0
3 years ago
What is this hurry please will give brainluest
aleksandr82 [10.1K]

Answer:

450cm²

Step-by-step explanation:

The area of the kite is made up of two pairs of congruent triangles. Find the area of these and add to get the kite's area. (area of triangle = (1/2)(base)height))

2(0.5*15*20)+2(0.5*15*10)

300+150

450

3 0
3 years ago
Instructions: Select the correct answer.
zepelin [54]
= 18 1/5 + 22 2/5 + 40 1/5
answer is D. last one
5 0
3 years ago
if the angles of triangle RST and measure of angle R= (9x-2)degrees, and the measure of angle S=(4x+36) degrees, and measure of
Salsk061 [2.6K]

Answer:

R, T, S

Step-by-step explanation:

R+S+T=180 degrees

9x-2+4x+36+5x+20=180

18+54x=180

54x=162

x=3

R=9*3-2 (substitute x with 3)

R=25

S=4*3+36

S=48

T=5*3+20

T=35

Shortest to longest: R, T, S

8 0
3 years ago
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