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VARVARA [1.3K]
3 years ago
12

If f(x) = -5x - 1 and g(x) = x - 6 what is (f g) (7)

Mathematics
2 answers:
Cloud [144]3 years ago
5 0

You have

(f\circ g)(x) = f(g(x)) \implies (f\circ g)(7) = f(g(7))

So, we have to compute g(7) and feed it as input to f(x). We have

g(7)=7-6=1 \implies f(g(7))=f(1)=-5-1=-6

Shtirlitz [24]3 years ago
4 0

Answer:

-6

Step-by-step explanation:

I just took it and got it right ☺

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Practice
andrew11 [14]

Computing the <u>ratio of raisins to ounces</u>, it is found that due to the <u>higher computed ratio</u>, brand B advertises the greatest ratio of raisins per ounce.

---------------------------

  • For <em>brand A</em>, there are 60 raisins in the 24-ounces box, thus the ratio is of \frac{60}{24} = 2.5, that is, 2.5 raisins per ounce.
  • For <em>brand B</em>, there are 18 raisins in the 6-ounce box, 36 in the 12-ounce, and it follows this ratio, thus \frac{36}{12} = \frac{18}{6} = 3, thus, 3 raisins per ounce.
  • For <em>brand C</em>, there are 20 raisins in the 10-ounce box, 30 in the 15-ounce, and so on, thus \frac{20}{10} = \frac{30}{15} = 2, thus, 2 raisins per ounce.
  • Due to the <u>higher computed ratio</u>, brand B advertises the greatest ratio of raisins per ounce.

A similar problem is given at brainly.com/question/24622075

5 0
3 years ago
Which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution? (
aalyn [17]
The correct answer is
A. Divide both sides by 6 and then add 2. The solution is x=8
7 0
3 years ago
Read 2 more answers
What is the area of the polygon below?
sattari [20]
5*11+(10-5)*17=55+85=140
5 0
3 years ago
Read 2 more answers
35 POINTS WILL MARK BRAINLIEST the area of a base of a square notepad is 9 square inches. What is the length of one side of the
zimovet [89]

Answer:

3

Step-by-step explanation:

area = l^2 = 9

so,l = \sqrt{9} = 3

5 0
3 years ago
Read 2 more answers
Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally di
tatyana61 [14]

Answer:

1.7 × 10⁻⁴

Step-by-step explanation:

The question relates to a two sample z-test for the comparison between the means of the two samples  

The null hypothesis is H₀:  μ₁ ≤ μ₂

The alternative hypothesis is Hₐ: μ₁ > μ₂

z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}

Where;

\bar {x}_1 = 13.5

\bar {x}_2 = 12

σ₁ = 2.5

σ₂ = 1.5

We set our α level at 0.05

Therefore, our critical z = ± 1.96

For n₁ = n₂ = 23, we have;

z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969

We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96

Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983

Therefore;

The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.

8 0
3 years ago
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