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3 years ago

Solve the following equation for x. x2 + 8x + 7 = 0

Mathematics

1 answer:

igomit [66]3 years ago

7 0

Step-by-step explanation:

x² + 8x + 7 = 0

(x + 7) (x + 1) = 0

x = -7 or -1

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Keshia is riding her bike on bay view bike path. Keyshia’s bike got on a flat tire 2/3 of the way down the path and she had to s

Anastaziya [24]

You just said the answer. She rode 2/3 of the way, or 66.6 % repeating which rounds to 67%.

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3 years ago

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Gail is competeting in a checkers tournament. She won 12 out of a total of 20 games. What is her ratio of wins to loses

Dmitrij [34]

The first answer is a and the second answer is d

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3 years ago

A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.

Black_prince [1.1K]

Answer:

$\frac{19}{12}\ pounds$

$1\frac{7}{12}\ pounds$

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$

Convert mixed number to an improper fractions

$1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}$

$3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}$

Substitute in the expression above

$x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}$

solve for x

Multiply by (4*6) both sides to remove the fractions

$24x+30+16=84$

Combine like terms left side

$24x+46=84$

subtract 46 both sides

$24x=84-46$

$24x=38$

Divide by 24 both sides

$x=\frac{38}{24}\ pounds$

simplify

$x=\frac{19}{12}\ pounds$

Convert to mixed number

$\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds$

4 0

3 years ago

Given that

Blizzard [7]

Answer:

(a-2b)/4

Step-by-step explanation:

log 9 (sqrt(f)/g) = 0.5*log 9 (f(x)) - log 9 (g(x))= 0.5*0.5*log 3 f(x) - 0.5*log 3 g(x) = a/4 - b/2=(a-2b)/4

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4 years ago

Limθ→π/4 (cosθ−sinθ)/(θ– π/4)

Rzqust [24]

Answer:

-√2

Step-by-step explanation:

For the typing purpose I replaced θ with n in the calculation

$\lim_{n \to \frac{\pi }{4}} \frac{cos n-sin n}{\frac{\pi }{4} } ...limits L'Hopital's Rule\\= \lim_{n \to \frac{\pi }{4}} \frac{-sin n-cos n}{1 } ... plug. in . \frac{\pi }{4} \\= - sin \frac{\pi }{4} - cos \frac{\pi }{4}\\= - \frac{\sqrt{2} }{2} - \frac{\sqrt{2} }{2}\\= \frac{- 2\sqrt{2}}{2} \\= - \sqrt{2}$

5 0

3 years ago