......................

Answer:

B. The solution is valid because all steps to solve the inequality for F are correct.

Step-by-step explanation:

F - 32 ≤ 0

Add 32 to both sides of the equation to have;

F -32 + 32 ≤ 0 + 32

F ≤ 0 + 32

F ≤ 32

It can be observed that to solve for F, the steps are correct. Thus the solution is valid. Therefore, the correct choice in the given question is the solution is valid because all steps to solve the inequality for F are correct.

Answer:

A

Step-by-step explanation:

I will edit and add my explanation

The 3 and 2 are both positive if the information that was given in the screenshot is standalone.

So if the numerals are both positive, they must be traveling to the right because the number line is increasing towards the right.

We can narrow the choices down to A and C because they both move right.

Since neither of the numbers are negative, it must start from the center 0 and increase, so it must be A.

3 * 2 is also 6, so it must end on 6.

Answer:

120 different one-to-one functions

Step-by-step explanation:

A one-to-one function means that each element from the domain can be mapped into only one element from the range (like for a typical function), and each element from the range can be mapped only once.

This means that, for two different inputs x₁ and x₂, we can't have:

f(x₁) = f(x₂)

Because that would mean that two different values of the domain are being mapped into the same element from the range.

Ok, now that we know this, let's count the number of possible "mappings" for each element in the domain.

For the first element, A, we have the options {x, y, z, t, w, k} (a total of 6 options).

For the second element, B, we will have an option less (because one was already taken) so here we have 5 options.

For the last element on the domain, C, there will be again an option less than in the previous case, so here we have 4 options.

The total number of combinations (each combination defines a different one-to-one function) is equal to the product between all the options for each case, then the total number of one-to-one functions is:

C = 6*5*4 = 120

There are 120 different one-to-one functions.

Answer:

Line A equation = y=-9/8x+69/4

Line B equation = y=-10/9x+131/9

Step-by-step explanation:

Answer:

(-4/3, 2]

Step-by-step explanation:

f(x)= sqrt (4-x^2)

g(x) = sqrt (3x+4)

domain of f(x)/ g(x)

The domain of the numerator is

4-x^2 ≥ 0

4 ≥x^2

Taking the square root of each side

-2 ≤x≤2

The domain of the denominator

3x+4 > 0  ( the denominator cannot be zero)

3x>-4

x > -4/3

Combine the restrictions to make it most restrictive

-4/3<x≤2

In interval notation

(-4/3, 2]

Answer:

The amount that your loan balance will be when you pay off the car is $20,566.18.

Step-by-step explanation:

Step 1. Calculation of monthly payment

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the cost of the new car = $55,000

P = Monthly payment = ?

r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

n = number of months = 72

Substitute the values into equation (1) and solve for P, we have:

$55,000 = P * ((1 - (1 / (1 + 0.005))^72) / 0.005)

$55,000 = P * 60.3395139355201

P = $55,000 / 60.3395139355201 = $911.51

Step 2. Calculation of the loan amount balance when you pay off the car

This can be calculated using the ballon payment formula as follows:

P = (PV - (Ballon / (1 + r)^n)) * (r / (1 – (1 + r)^-n)) ...................... (1)

Where:

P = Monthly payment = $911.51

PV = Present value or the cost of the new car = $55,000

Ballon = Ballon payment or the loan amount balance when you pay off the car = ?

r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

n = number months to pay off the loan amount balance = 48

Substituting the values into equation (1) and solve for Ballon, we have:

911.51 = (55,000 - (Ballon / (1 + 0.005)^48)) * (0.005 / (1 - (1 + 0.005)^-48))

911.51 = (55,000 - (Ballon / 1.27048916109538)) * 0.0234850290479363

911.51 / 0.0234850290479363 = 55,000 - (Ballon / 1.27048916109538)

38,812.39 = 55,000 - (Ballon / 1.27048916109538)

Ballon / 1.27048916109538 = 55,000 - 38,812.39

Ballon / 1.27048916109538 = 16,187.61

Ballon = 16,187.61 * 1.27048916109538

Ballon = $20,566.18

Therefore, the amount that your loan balance will be when you pay off the car is $20,566.18.

Answer: 57%

Step-by-step explanation:

Answer:

see photo

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

a+bc

a+(b×c)

4+(6×2)

4+12

answer=16

Answer:

download gauthmath it will help you answer this

Answer:

b.    [tex] \blue{k = \dfrac{l - 14j}{3}} [/tex]

Step-by-step explanation:

[tex] l = 14j + 3k [/tex]

Switch sides.

[tex] 14j + 3k = l [/tex]

Subtract 14j from both sides.

[tex] 3k = l - 14j [/tex]

Divide both sides by 3.

[tex] \blue{k = \dfrac{l - 14j}{3}} [/tex]

Answer:

90

Step-by-step explanation:

Let the whole number be x.

100% is to x as 70% is to 63

100/x = 70/63

10/x = 10/9

10x = 90 * 10

x = 90

Answer: 90

Step-by-step explanation:

0.7x = 63, x = 63/0.7 = 90

Answer:

6 and 5 over 6

6 5/6

Step-by-step explanation:

it would be a mixed fraction because 6 can't go into 41 evenly

Answer:

6

Hope that this helps!

Answer:

9%

Step-by-step explanation:

Principal x interest rate=yearly interest

1434.85 x interest rate =126.77

interest rate = 126.77/1434.85

interest rate=.088 or 9%

Answer:

answer is d if its wrong i am sorry

The zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3

The function is given as:

y = 6x^2 + x - 35

Expand the function

y = 6x^2 + 15x - 14x - 35

Factorize the function

y = (2x + 5) * (3x - 7)

Set the function to 0

(2x + 5) * (3x - 7) = 0

Split

2x + 5 = 0 or 3x - 7 = 0

Solve for x

x = -2.5 or x = 7/3

Hence, the zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3

Read more about quadratic functions at:

https://brainly.com/question/1214333

#SPJ1

Answer:

1

Step-by-step explanation:

→ If we know that 3 numbers need to multiply to make -1, it must be

1, 1 and -1

→ Then we just substitute this into a³ + b³ + c³

1³ + 1³ + (-1)³ = 2 - 1 = 1

Answer:

ok so if it is 30 dollars per hour so 30h plus 20 so

f=30h+20

Hope This Helps!!!

Answer:

C

Step-by-step explanation:

I don't actually know how to explain it but,

Q1=43.5

Q2=44

Q3=48.5

Sorry, I can't help more.

Answer:

  C  is your answer

Step-by-step explanation:

We are given the system of equations:

[tex] \large{ \begin{cases} y = 2x - 3 \\ y = - x + 3 \end{cases}}[/tex]

Since both are y-isolated equation, we can combine them together.

[tex] \large{2x - 3 = - x + 3}[/tex]

Isolate and solve for x-term.

[tex] \large{2x - 3 + 3 + x = - x + 3 + x + 3} \\ \large{2x + x = 6 \longrightarrow 3x = 6} \\ \large{ \frac{3x}{3} = \frac{6}{3} \longrightarrow \boxed{ \red{x = 2}}}[/tex]

Next, we find the value of y. Simply substitute x = 2 in one of these equations. The less coefficient values, the faster and better. I will substitute x = 2 in y = -x+3. You can substitute x = 2 in y = 2x-3 if you want but the result would be the same.

[tex] \large{y = - x + 3}[/tex]

Substitute x = 2 in the equation.

[tex] \large{y = - 2 + 3} \\ \large \boxed{ \blue{y = 1}}[/tex]

Therefore - when x = 2, y = 1. We can write in coordinate point or ordered pair as (2,1) from (x,y).

Answer

Answer:

base = 21.2

Step-by-step explanation:

Let the base be 2x

Drawing a perpendicular bisector divides the bases into 2 equal parts.

Then using trigonometric ratio :

[tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex]   , [tex][ \ where \ \theta = 28^{ \circ} , \ adjacent = x,\ hypotenuse = 12 \ ][/tex]

The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the base of the isosceles triangle is 21.19 units.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

In order to solve the problem, we will draw a line between the triangle such that it will bisect the angle at the top(∠A) and the base(BC). As shown in the image below.

Now, as we know that the line(AD) is perpendicular to the base(BC) of the isosceles triangle, therefore, using the function of trigonometry in the Δ ABD we can write,

[tex]Cos \theta=\dfrac{BD}{AB}\\\\\\Cos (\angle B)=\dfrac{BD}{12}\\\\\\Cos 28^o \times 12={BD}\\\\BD = 10.5953[/tex]

Now, we know that the line BD divides the base BC into two equal parts, therefore, BD=BC.

BC = BD + DC

BC = 10.5953 +10.5953

BC = 21.19 units

Hence, the length of the base of the isosceles triangle is21.19 units.

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

Answer:

X = 7

Step-by-step explanation:

Answer:

-2.5 or - 2 1/2

Step-by-step explanation:

Writing out the expression Mathematically ;

1/3(-15÷1/2)1/4

Using PEMDAS :

Solving the bracket first

(-15 ÷ 1/2) = (-15 * 2/1) = - 30

We have :

1/3(-30)1/4 = - 10 * 1/4 = - 10 / 4 = - 2.5

-2.5 = - 2 1/2

Answer:

Law of Sines, two angles and an opposite side are known

Step-by-step explanation:

Law of Sines, two angles and an opposite side are known

q/sinQ = p/sinP

q = p/sinP * sinQ

Answer:

a. $0.13 / Ib.

Step-by-step explanation:

Slope of a line:

Suppose we have two data-points in a line. The slope is given by the change in the output divided by the change in the output.

In this question:

Input: weight(in pounds)

Output: Weekly cost to feed.

A hamster weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed.

Inputs: 0.5, 62.5

Outputs: 2, 10

Change in the outputs: 10 - 2 = 8

Change in the inputs: 62.5 - 0.5 = 62

Slope: [tex]m = \frac{8}{62} = 0.13[/tex]

So the correct answer is given by option A.

Answer:

0.13

Step-by-step explanation:

Answer:

p > 9

Step-by-step explanation:

First let's note down-

George- has 23$

Total cost of m+p= more than $14

Second, let's subtract 23 and 14 to get what the glue costs.

23 - 14 = 9

So now we can cross out choice A and D.

Third, now earlier I said  more than $14, this is the key part to find what we are going to choose.

more than = >

now we just plug in the variable,

p > 9

Hope this helps!

Please reach out to me if you still don't understand :)