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disa [49]
3 years ago
7

If f(x) = 2x²+1 and g(x) =x²-7find (f-g)(x)

Mathematics
1 answer:
Karolina [17]3 years ago
7 0
(2x^2-x^2)= x^2
(1+7) = 8

X^2 + 8
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3. Last year, the numbers of skateboards produced per day at a certain factory were normally distributed with a mean of 20,500 s
Oxana [17]
Let x be a random variable representing the number of skateboards produced
a.) P(x ≤ 20,555) = P(z ≤ (20,555 - 20,500)/55) = P(z ≤ 1) = 0.84134 = 84.1%

b.) P(x ≥ 20,610) = P(z ≥ (20,610 - 20,500)/55) = P(z ≥ 2) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275 = 2.3%

c.) P(x ≤ 20,445) = P(z ≤ (20,445 - 20,500)/55) = P(z ≤ -1) = 1 - P(z ≤ 1) = 1 - 0.84134 = 0.15866 = 15.9%
4 0
3 years ago
Write 8.77 as a mixed number, reduced to lowest terms.
zubka84 [21]
Converting a decimal to a mixed number is very simple when you get the hang of it. Since 8 is before the decimal, that is your number in the mixed number. For the fraction part, it's 77/100. The denominator is 100 because when you count the decimal places, it goes to hundredths. 77/100 is already in simplest form, so your final answer is 8 77/100.
8 0
3 years ago
Eric earned 60 points on his last test if there were 75 possible points what was his percent grade
Andru [333]
So 75 points is your 100%. You can do 60 over 75 is equal to X over 100. You divide your numerator(60) by your denominator(75) to get 85.7142857%, or to round to your nearest percent, your answer would be roughly 86%.
6 0
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3 more than a number x
balu736 [363]
X+3 is the answer.zz
5 0
3 years ago
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Double angle identity. Just 5 questions. Really need help as my teacher has been frustrated with me
BartSMP [9]

The double angle identities are

\sin(2x)=2\sin x\cos x

\cos(2x)=\cos^2x-\sin^2x

Then

2\sin\dfrac\pi6\cos\dfrac\pi6=\sin\left(\dfrac{2\pi}6\right)=\sin\dfrac\pi3

\cos^2\dfrac\pi{10}-\sin^2\dfrac\pi{10}=\cos\left(\dfrac{2\pi}{10}\right)=\cos\dfrac\pi5

The second identity together with the Pythagorean identity, \sin^2x+\cos^2x=1, gives us another equivalent expression:

\cos^2x-\sin^2x=\cos^2x-(1-\cos^2x)=2\cos^2x-1

so

2\cos^2(0.5)-1=\cos(2\cdot0.5)=\cos1

4 0
3 years ago
Read 2 more answers
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