What is the absolute value of −1/4 ?

Plot your answer on the number line.

[tex]g(f(\text{x})) = -3\text{x}^2+3[/tex]

[tex]g(f(2)) = -9[/tex]

=======================================================

Explanation:

Let's compute g(f(x))

We do this by starting with the outer function g(x). Then replace every x with f(x). Then plug in the definition of f(x) as shown below.

[tex]g(\text{x}) = \text{x}-1\\\\g(f(\text{x})) = f(\text{x})-1\\\\g(f(\text{x})) = 4-3\text{x}^2-1\\\\g(f(\text{x})) = -3\text{x}^2+3\\\\[/tex]

At this point, we then plug in x = 2 so we can find that...

[tex]g(f(\text{x})) = -3\text{x}^2+3\\\\g(f(2)) = -3(2)^2+3\\\\g(f(2)) = -3(4)+3\\\\g(f(2)) = -12+3\\\\g(f(2)) = -9\\\\[/tex]

The expression 400 + 0.1s represents her total weekly earnings.

An expression is written in the form of variables and constants separated by the operation of addition and subtraction. There are many types of expressions some of them are algebraic expression, trigonometric expression, logarithmic expressions, and many more.

Given Tasha earns $400 per week plus a commission of 10% on her weekly sales.

She also saves one-fourth of her earnings.

Assuming the amount she makes on sales is s.

∴ The expression that represents her total weekly earnings is,

= 400 + 0.1s.

As 10% in decimal can be written as (10/100) = 0.1.

learn more about expressions here :

https://brainly.com/question/14083225

#SPJ1

The equation of the line passes through (2, -10) and to parallel to 14x +2y =  6 is 7x + y = 4

In the above question,

The equation of the line = 14x + 2y = 6

2y = 6 - 14x

y = [tex]- \frac{14x - 6}{2}[/tex]

y = -(7x - 3)

y = -7x + 3

The inclination of a line with respect to the horizontal is measured numerically is called as Slope

Slope of the given line = -7

The slope of a line parallel to the given line would be the same as they both are parallel to each other, hence the needed line's slope is also -7

The point through which is passes = (2, -10)

We need to find the equation of the line which passes through (2, -10) and to parallel to 14x +2y =  6

The equation of a line parallel to the given 14 x + 2 y = 6, and passing through the point (2, -10) is

[y - (-10)] = (-7)[x - 2]

y + 10 = -7x + 14

7x + y = 14 - 10

7x + y = 4

Hence, the equation of the line passes through (2, -10) and to parallel to 14x +2y =  6 is 7x + y = 4

To learn more about, slope, here

https://brainly.com/question/3605446

#SPJ1

not that bad

goodluck tho :)

Answer: 34

Step-by-step explanation:

Vertical angles are congruent.

The distance between J1 and J2 is 2.94 miles using cosine rule.

What is cosine rule?

Cosine rule relates to the lengths of the sides of a triangle with any of its angles being a cosine angle. With the help of this rule, we can calculate the length of the side of a triangle or can find the measure of the angle between the sides.

cos x = ([tex]b^{2} +c^{2} -a^{2}[/tex])/2bc

x = 45

b = 4

c = 2

to find a

cos 45 = 4(4) +2(2) - [tex]a^{2}[/tex]/2(4)(2)

1/[tex]\sqrt{2}[/tex] = 16 +4 - [tex]a^{2}[/tex]/16

16/[tex]\sqrt{2}[/tex] = 20 - [tex]a^{2}[/tex]

a = 2.94

To know more about cosine rule, visit:

https://brainly.com/question/27145006

#SPJ13

Answer:

She earned $42,000 in the previous year

Step-by-step explanation:

9% can be rewritten as 0.09

0.09x is 4050

divide both sides by 0.09

0.09x becomes x

4050 becomes 45,000

then we subtract 3,000 from 45,000 to find the previous years salary

, The constant proportionality is 3

What is Proportionality Constant ?

The proportionality constant is the ratio between two variables that varies directly . For directly proportional variables, their ratio is always a constant and this constant is the proportionality constant.

Now, We have the equation is:

y = 3x

To get the constant of proportionality,

we will derive both sides of the equation by x.

y/x = 3x/x

y/x = 3

Hence, The constant proportionality is 3

Learn more about constant proportionality at:

https://brainly.com/question/14324562

#SPJ1

The sampling distributions reach a normal distribution as sample sizes increase.

For the given statement in the question-

As sample sizes grow larger, sampling distributions reach a normal distribution.

The mean of the sampling distribution equals the population mean (µ) (with "infinite" numbers of the successive random samples).

To know more about the normal distribution, here

https://brainly.com/question/28249284

#SPJ4

The given expression is equivalent to the third option -19.5b - 6.9. We get this on solving the algebraic expression.

The given expression in the question is

3(-4.5b-2.1) - (6b +0.6)

= -13.5b - 6.3 - 6b - 0.6         (multiplying 3 and -1 respectively with the elements in the bracket)

= -19.5b - 6.9

Therefore we can see that on solving the given algebraic expression we get that it is equivalent to -19.5b - 6.9

Hence the third option which is -19.5b -6.9 is the correct answer.

How do you evaluate an algebraic expression:

brainly.com/question/15275240

#SPJ4

we need to verify for each equation if x=3 is a solution. If we replace x by 3 in the first equation we get

so the answer is letter A

Answer:

B

Step-by-step explanation:

i had the thing 2 days ago lol

Answer:

Step-by-step explanation:

T = 0.27·c + 31

0.27·c = T - 31

c = (T - 31) / 0.27 = (77 - 31) / 0.27 ≈ 170

Answer:

170 times a minute a cricket chirps at 77° F

ax^2 + bx + c = 0

a=1

b=4

c=-8

x^2 + 4x - 8 = 0

(I thought I was wrong but I might be correct lol)

Answer:

p = 55485

Step-by-step explanation:

p =  53600 + 145 n

n = 2022 - 2009 = 13 years

so, p =  53600 + 145(13)

p = 55485

The explicit equation of the sequence is an = 3 + (n-1)*6

First term = 3

Second term = 9

A series of numbers in mathematics whose each term is always expressed as a, a+d, a+2d, or a+3d. An arithmetic progression is defined as a + (n-1)d, where a is the first term,d is the common difference of the series and n is the number of terms in the sequence

Any two continuous terms in the arithmetic sequence differ by the same number.

Arithmetic sequence is given by an = a + (n-1)d

So, the common difference = 9-3 = 6

a = 3

Substituting the values in the formula we get:

For nth term: an = 3 + (n-1)*6

Learn more about arithmetic progression:

https://brainly.com/question/24016699

#SPJ1

Answer:

i hope i can answer your question

Step-by-step explanation:

Amber wants to have $300,000 so i don't see another number that you can solve on maybe type that first so i can answer please

The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 3.5% per year for 30 years is $3,075.00. With a principal of £1,500.00 and an interest rate of 3.5% over a 30-year period, Sarah-Jane will save UK £1,575.00. It is undoubtedly a wise investment because the original UK £1,500 doubled.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.

A = P(1 + RT)

A=Final Amount

P = Principal

R = Rate of Interest

T = Time period

Here,

A = $3,075.00

I = A - P = $1,575.00

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 1500(1 + (0.035 × 30)) = 3075

A = $3,075.00

$3,075.00 is the total amount accrued from simple interest on a principal of $1,500.00 at a rate of 3.5% per year for 30 years (principal plus interest). In a 30-year loan with a £1,500.00 principal and a 3.5% interest rate, Sarah-Jane will save UK £1,575.00. The original UK £1,500 doubled, so it is unquestionably a smart investment.

To know more about Simple Interest,

https://brainly.com/question/25845758?referrer=searchResults

#SPJ13

Answer:

-2

Step-by-step explanation:

f(x) = 2x, g(x) = x - 4

f(g(3)) = f(-1) = 2(-1) = -2

Answer:

sinθ-cosθ = 0

sinθ= cosθ

sinθ/cosθ = 1

tanθ = 1

Bu tan45 = 1

So,

tanθ=tan45

θ = 45°

sin45 = 1/√2  cos45 = 1/√2

sin⁴θ+cos⁴θ  = (1/√2)⁴+(1/√2)⁴

                     = 1/4+1/4 = 2/4 = 1/2 = 0.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope this helped you..................

Answer:

It goes

1.) C

2.) A

3.) B

The value of the function operation of each one is represented below.

To solve this problem, we have to perform the operation on each one.

1) (fg)(x)

[tex](fg)(x) = 2x^3 + 12x^2 + 24x + 16[/tex]

2) (hg)(x)

[tex](hg)(x) = x^4 + 4x3 -16x -16[/tex]

3)

(fh)(2)

[tex](fh)(2) = 0[/tex]

4) (gh)(x)

[tex](gh)(x) = x^4 + 4x^3 - 16x -16[/tex]

Learn more on function operation here;

https://brainly.com/question/28595767

#SPJ1

Step-by-step explanation:

1 + 1 + 1 - 1 - 5 - 5r - 3 - 3 --2 - 6 --4

3 - 1 - 5 - 5r - 3 - 3 -- 2 - 6 -- 4

2 - 5 - 5r - 3 - 3 -- 2 - 6 -- 4

-3 - 5r - 3 - 3 -- 2 - 6 -- 4

-5r - 6 - 3 + 2 - 6 + 4

-5r - 9 + 2 - 6 + 4

-5r - 7 - 6 + 4

-5r -13 + 4

-5r - 9

This is the furthest it can be reduced to if you're not trying to find the value of r.

Hope this helps! :)

Answer:

B 36

Step-by-step explanation:

36 = 6×6 = 6^2

6^2 is a perfect square

ANSWER

No 3. x = 41 degrees

No 4. x = 6.5 degrees

EXPLANATION

Question 3

Note: One of the angles in a right triangle is 90 degrees. As a result, the sum of the other two angles is 90.

That is:

Question 4

Note: The sum of angles in a triangle is 180

That is:

A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas.  

A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas. Every variable in the equation "literally" represents a crucial aspect of the overall relationship that the equation expresses. Multiple letters or variables make up a literal equation. Examples include the formula for calculating speed (v=Dt) and the area of a circle (A=r2). In this part, we resolve straightforward one-variable equations.

Alternatively,

Ax +By = C

Any sign that crosses over equal(=) signs always change

In this case, Ax crosses over to C

By = C - Ax

To eliminate y from By, then

By/y = (C - Ax) /y

y cancel out y on the left side

B  = (C - Ax) /y

The complete question is,

Solve for B in the literal equation Ax+By=C

To learn more about literal equation refer to:

https://brainly.com/question/22236988

#SPJ13

Answer:

7 soloists

Step-by-step explanation:

10%   is  .1 in decimal form

70  x  0.1 = 7 soloists

Answer:

Step-by-step explanation:

Answer:The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases. If MN is the midsegment of trapezoid ABCD, then MN || AB, MN || DC, and MN = (AB + CD).

Step-by-step explanation:

Answer:

MN is 1/2 of DC

Step-by-step explanation:

DC= 44

MN= 22

Answer:

x = 20

Step-by-step explanation:

4x + 1 and 2x + 41 are alternate exterior angles and are congruent , then

4x + 1 = 2x + 41 ( subtract 2x from both sides )

2x + 1 = 41 ( subtract 1 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

Answer:

8

Step-by-step explanation:

To solve this problem you multiply 4 by 100 and then divide the total by 50 as follows: (4 x 100) / 50

The equation that can be solved to determine the number of days when both jobs would have the same cost is 120d + 1,500 = 110d + 2,500.

The equations that would be formed would be linear equations. A linear equation is an equation that has a single variable that is raised to the power of one. A linear equation is a straight line when it is drawn on a graph.

The equation that represents the total bonus of the first job is: fixed pay + total variable pay

1,500 +( $120 x d)

1,500 + 120d

The equation that represents the total bonus of the second job is: fixed pay + total variable pay

$2,500 + ($110 x d)

$2,500 + $110d

When the amount at both jobs are equal, the two above linear functions would be equal

$2,500 + $110d = 1,500 + 120d

Combine similar terms together:

$2,500 - $1,500 = $120d - $110d

To learn more about linear functions, please check: https://brainly.com/question/26434260

#SPJ1