MATHEMATICS HIGH SCHOOL

What are the approximate solutions of 2x2 + 9x = 8 to the nearest hundredth?a. x ≈ 1.22 and x ≈ 3.28
b. x ≈ −0.76 and x ≈ 5.26
c. x ≈ −1.22 and x ≈ −3.28
d. x ≈ −5.26 and x ≈ 0.76

Answers

Answer 1

Answer:

Answer:

The roots of the equations are x ≈ -5.26 and x ≈ 0.76 .

Option (d) is correct.

Step-by-step explanation:

Formula for the roots is given by .

$x = \frac{-b \pm \sqrt{b^(2) -4ac}}{2a}$

As the equation in the form

$2x^(2) + 9x - 8 = 0$

As the equation in the form ax² + bx + c = 0

a = 2, b= 9 , c = -8

Put in the formula

$x = \frac{-9 \pm \sqrt{9^(2) -4* 2* -8}}{2* 2}$

$x = (-9 \pm √(81 + 64))/(4)$

$x = (-9 \pm √(145))/(4)$

$√(145) = 12.04$

Thus First roots be

$x = (-9 - 12.04)/(4)$

$x = (-21.04)/(4)$

x ≈ -5.26

The second root be

$x = (-9 + 12.04)/(4)$

$x = (3.04)/(4)$

x ≈ 0.76

Therefore the roots of the equations are x ≈ -5.26 and x ≈ 0.76 .

Option (d) is correct.

Answer 2

Answer:

Answer:

the anwser is d, hope this helps

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How many prime numbers are there between 56 and 100?

Answers

9.

They are: 59, 61, 67, 71, 73, 79, 83, 89 & 97.

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7w−(2 w)=2(3w−1) w = 0 w=12w=12 all real numbers no solution

Answers

Hello there.

7w−(2 w)=2(3w−1) w = 0 w=12w=12 all real numbers no solution

no solution

Really confused. Need help asap

Answers

Terms:

Domain - All the "x" values (horizontal)
Range - All the "y" values (vertical)

Writing in interval notation:

[] - Point is included

() - Point not included.

Domain = [8,12]

Range = [-6,-2]

S=(lw+lh+wh) solve for w

Answers

S = lw + lh + wh
S - lh = lw + wh
S - lh = w(l) - w(h)
S - lh = w(l - h)
l - h l - h
S - lh = w
l - h

Round 8.043 to the nearest hundredth

Answers

Rounding to the nearest hundredth would make the answer be: 8.04. Just move the digits over twice to the right and if the number is 5 or greater(for the number 3), the answer would have been: 8.05. But since it is a 3(lower than 5), then the answer would just be 8.04.
Hope this helps! :-)

It is 8.because you look at the 4 cuz it is in the hundredths place the you look at the 3 if it is 4 or less take it away if it is 5 or more add 1. It's less so take everything away that is behind the decimal

What 6/8 turned into a decimal