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3 years ago

Given f(x) = -10x + 45, find x when f(x) = 15.

Mathematics

1 answer:

fenix001 [56]3 years ago

3 0

Answer:

3 =x

Step-by-step explanation:

f(x) = -10x + 45

f(x) = 15

15 = -10x +45

Subtract 45 from each side

15-45 = -10x+45-45

-30 = -10x

Divide each side by -10

-30/-10 = -10x/-10

3 =x

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Deffense [45]

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y+3=2x-10

y+3+10=2x

y+13=2x

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3 years ago

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Step-by-step explanation:

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4 years ago

Consider a project that has an expected completion time of 60 weeks and a standard deviation of five weeks. What is the probabil

Nana76 [90]

Answer: 0.3413

Step-by-step explanation:

Given :Mean : $\mu=60\text{ weeks}$

Standard deviation : $\sigma = 5\text{ weeks}$

The formula for z -score :

$z=\dfrac{x-\mu}{\sigma}$

For x= 60 ,

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6 0

3 years ago

Solve the triangle a b c d

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Use the Law of Cosines to find the measure of segment c:

$c=\sqrt{a^2+b^2-2ab*cos(C)}\\\\c=\sqrt{12^2+13^2-2(12)(13)*cos(134)}\\\\c=\sqrt{313-312cos(134)}\\\\c=\sqrt{313-312(-.6946583705)}\\\\c=\sqrt{313-(-216.7334116)}\\\\c=\sqrt{313+216.7334116}\\\\c=\sqrt{529.7334116}\\$

c ≈ 23.01593821 km ≈ 23 km

Since c = 23 km, our only options are choices B and D. Now, let's find the measure of angle A to confirm. To do this we will use the Law of Sines:

$\frac{sin(A)}{a} =\frac{sin(C)}{c} \\\\\frac{sin(A)}{12}=\frac{sin(134)}{23.01593821}\\\\sin(A)=12(\frac{sin(134)}{23.01593821})\\\\A=sin^{-1}[12(\frac{sin(134)}{23.01593821})]\\\\$

A ≈ 22.02726885° ≈ 22°

Since the measure of c = 23 km and the measure of angle A = 22°, the answer must be choice B.

7 0

3 years ago

Elliott built a square patio in his backyard. One side of his patio measures 8 feet. What is the area of Elliott's patio?

sergiy2304 [10]

Answer:

64 ft^2

Step-by-step explanation:

8^2 = 64 ft^2

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3 years ago