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3 years ago

Evaluate the function f (x) = 3x2– 5 when x = –11.

Mathematics

1 answer:

gavmur [86]3 years ago

7 0

Answer:

358

Step-by-step explanation:

f(x) = 3x² - 5

f(-11) = 3(-11)² - 5

f(-11) = 3(121) - 5

f(-11) = 363 - 5

f(-11) = 358

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Olivia is planning to study for 8 hours. she has to spend studying English twice the time she needs for science and the time she

vaieri [72.5K]

Answer:

science = $\frac{4}{3} \ hours$

English = $\frac{8}{3} \ hours$

Math = 4 hours

Step-by-step explanation:

let the number of hours spend on science = x

Hence the number of hours on English will be = 2x

Given that the number of hours spend on science is one third of the time spend on maths. Hence the time spend on math is 3 times that of the time spend on science. That the time spend on maths is = 3x

Hence the total time to study is

x+2x+3x

which is given as 8 hours

Hence

x+2x+3x =8

6x=8

dividing both sides by 6

$\frac{6x}{6}=\frac{8}{6}$

$x=\frac{8}{6}$

$x=\frac{4}{3}$

Hence the number of hours foe studying science = $\frac{4}{3}$

Number of hours to study English = $\frac{4}{3} \times 2$ = $\frac{8}{3}$

Number of hours to study Math= $\frac{4}{3} \times 3$ = $4$

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4 years ago

There are 384 nails in a 16-ounce jar. How many nails are there per ounce in the jar?

ASHA 777 [7]

The answer is 24...

3 0

3 years ago

Read 2 more answers

ASAP:( Match each system of equations to the diagram that represents its solution.

MaRussiya [10]

Answer:i need this answer

Step-by-step explanation:

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3 years ago

Kenny's scores the first 5 times he played a video game are listed below. 38, 51, 64, 77, 90 Kenny's scores follow a pattern. If

gayaneshka [121]

Kenny's score on his 72nd game played is 961

Solution:

Given that the first 5 score of Kenny are listed below:

38, 51, 64, 77, 90

Kenny's scores follow a pattern

To find: Kenny's score on his 72nd game played

Let us first find the pattern followed

38, 51, 64, 77, 90

Find the difference between terms

51 - 38 = 13

64 - 51 = 13

77 - 64 = 13

90 - 77 = 13

So the difference between terms is constant

So the sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

The formula for nth term of arithmetic sequence is given as:

$a_n = a_1 + (n-1)d$

$a_n$ = the nᵗʰ term in the sequence

$a_1$ = the first term in the sequence

d = the common difference between terms

Here d = 13 and $a_1 = 38$

So we get,

$a_n = 38 + (n-1) \times 13$

To find the score of 72nd game, substitute n = 72

$a_{72} = 38 + (72-1) \times 13\\\\a_{72} = 38 + 71 \times 13\\\\a_{72} = 38 + 923\\\\a_{72} = 961$

Thus Kenny's score on his 72nd game played is 961

7 0

3 years ago

Using a Simple Radom Sample of 500 rental property owners in Washington State, a 95% confidence interval estimate of the proport

Feliz [49]

Answer:

Hence the correct option is option d.

Explanation:

We can 95% confident that between 28.1% and 39.2% of all rental property owners own a property by the water.

Here correct option for interpretation of the 95% confidence interval. The remaining options are about probabilities and sample proportions.

3 0

3 years ago