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2 years ago

Given f (x) = x2 + 7, evaluate f (4).

Mathematics

2 answers:

Blizzard [7]2 years ago

8 0

Answer:

f(4) = 23

Step-by-step explanation:

$f(x) = x^2 + 7$

Plug x = 4

$f(4) = 4^2 + 7$

$f(4) = 16 + 7$

$f(4) = 23$

trapecia [35]2 years ago

3 0

Answer: f(4) = 23

Step-by-step explanation: Notice that f is a function of x.

So we want to find f(4).

We find f(4) by plugging 4 in for x, everywhere that x appears in the function.

So we have f(4) = (4)² + 7.

(4)² is 16 so we have 16 + 7 which is 23.

So f(4) is 23.

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2 years ago

The probability that a certain kind of component will survive a shock test is 3/4. Find the probability that exactly 2 of the ne

Marina86 [1]

Answer:

Therefore the required probability is $=\frac{27}{128}$

Step-by-step explanation:

The probability of success is $\frac{3}{4}$

The number of trial = 4

X= the items survive out of 4

$P(x=r)=^nC_rq^{n-r}p^r$ p =the probability of success and q = the probability failure.

p= $\frac{3}{4}$ and $q=(1-\frac{3}{4})=\frac{1}{4}$

$\therefore P(X=2)=^4C_2(\frac{1}{4} )^2(\frac{3}{4} )^2$

$=\frac{4!}{2!2!} (\frac{1}{16} )(\frac{9}{16} )$

$=\frac{27}{128}$

Therefore the required probability is $=\frac{27}{128}$

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3 years ago

Amir ran the first 200-meter leg of the relay race with a speed of 8,260 millimeters per second. Ryder ran the last 200-

kkurt [141]

Step-by-step explanation:

Convert the speeds of Amir and Ryder to meters per second (m/s).

Amir:

8260 mm/s = 8.260 m/s

Ryder:

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9.30 m/s > 8.260 m/s, so:

Ryder ran approximately 1 meter per second faster than Amir.

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2 years ago

Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was −160 feet. Then she continued to hike down

RoseWind [281]

Ok so first, you need to figure out the change in elevation for each after one min. so we will write it as a ratio

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Now for the 20 one, we will divide by 20.
1: -15 So the change in elevation per min. is 15

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2 years ago

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Ann [662]

Answer:

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2 years ago