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Ilya [14]
3 years ago
14

Write a function rule for “The output is 5 less than four times the input.” Use x for the independent variable and y for the dep

endent variable.
Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0

Answer:

y(x) = 4x - 5

Step-by-step explanation:

A dependent variable depends on other factors that are measured . The value of a dependent variable depends on the independent variable. The independent variable stands alone and it does change by the other variable you are trying to measure. Independent variable are usually denoted as x.

The function can be represented below.

y(x) = 4x - 5

x = independent variable

y = dependent variable

y depends on the value of x

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Find k if (x+1) 2x^3+kx^2+1
Viktor [21]
<h2>Question:</h2>

Find k if (x+1) is a factor of 2x³ + kx² + 1

<h2>Answer:</h2>

k = 1

<h2>Step-by-step explanation:</h2>

The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.

<em>This is because;</em>

i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.

ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e

=> (-3)² - 9

=> (9) - 9 = 0

Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.

<em><u>From the question</u></em>

Given polynomial: 2x³ + kx² + 1

Given factor: x + 1.

Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e

2(-1)³ + k(-1)² + 1 = 0

2(-1) + k(1) + 1 = 0

-2 + k + 1 = 0

k - 1 = 0

k = 1

Therefore the value of k is 1.

3 0
3 years ago
Frank bought a pair of gloves for $9.95 and a hat for $5.25. What is the best estimate of much he spent?
viktelen [127]

Answer:

$ 15.00

Step-by-step explanation:

9.95  is JUST about 10

5.25 is close to 5

                      10 + 5 = 15

7 0
2 years ago
Lim (x+1) (3x^2-9)<br> X2
mafiozo [28]

Answer:

\lim_{x \to 2} (x+1)(3x^2-9) = 9

Step-by-step explanation:

Step 1: Write out limit

\lim_{x \to 2} (x+1)(3x^2-9)

Step 2: Evaluate

(2 + 1)(3(2)² - 9)

3(3(4) - 9)

3(12 - 9)

3(3)

9

5 0
3 years ago
Here are the total scores of 10 students in an introductory statistics course.
cestrela7 [59]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Mean (m) = 72

Standard deviation (sd) = 10

Grading cutoff policy:

bottom 5% receive F

next 15% receive D

next 35% receive C

next 30% receive B

A) Give the cutoffs for the grades in this course in terms of standardized scores.

Standardized score for grade cutoff:

Locating the Zscore for the proportions on the z table :

Bottom 5% = 0.05 ; corresponding Zscore = - 1.645

next 15% receive D = (5 +15)% 0.20 ; corresponding Zscore = - 0.84

next 35% receive C = (20+35)% = 0.55 ; corresponding Zscore = 0.13

next 30% receive B = (55 + 30)% = 0.85 ; Corresponding Zscore = 1.04

B) Give the cutoffs in terms of actual total scores.

Recall:

Zscore = (x - m) /sd ; where x = actual score

x = sd*z + m

For F:

10*(-1.645) + 72 = 55.55

For D:

10*(-0.84) + 72 = 63.6

For C:

10*(0.13) + 72 = 73.3

For B:

10*(1.04) + 72 = 82.4

C) Do you think that this method of assigning grades is a good one?

Yes, it is good in terms of expressing scores around the mean such that score below are negative and those above are positive. However, it is a little bit ambiguous.

4 0
3 years ago
What's 111111 - 3 + 34. Whoever gets it right, we will do brainliest for brainliest.
kakasveta [241]
What's 111111 - 3 + 34. Whoever gets it right, we will do brainliest for brainliest.


that would 111142
6 0
3 years ago
Read 2 more answers
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