(HELP URGENT TWO VARIABLE INEQUALITIES)

(SEE ATTACHED PICTURE)

Which of the following inequalities matches the graph?

A) The correct inequality is not listed.
B) 5x + y ≥ 1
C) 5x + y ≤ 1
D) 5x − y ≥ 1

Answer:

c

Step-by-step explanation:

I took the test and got it right

The correct equation that justifies why seven to the one-third power equals the cube root of seven is option C: [tex](7^{(1/3)})^3[/tex]=[tex]7^{(1/3 * 3)[/tex]=7.

C. Seven to the one-third power all raised to the third power equals seven to the one-third times three power equals seven.

Let's break down the steps:

Seven to the one-third power all raised to the third power:

[tex](7^{(1/3)})^3[/tex]

Using the property of exponents [tex](a^{(m*n)} = (a^m)^n)[/tex] to simplify:

[tex]7^{(1/3 * 3)[/tex]

The exponent 1/3 multiplied by 3 is equal to 1:

[tex]7^1[/tex]

Any number raised to the power of 1 is itself, so:

7

This justifies that [tex]7^{(1/3)[/tex] raised to the power of 3 is equal to 7.

Therefore, [tex]7^{(1/3)[/tex] is equal to the cube root of 7.

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Step-by-step explanation:

y=-4/5x-2-1

y=-4/5x-3

y/4=5x-3

(y/4)-3 =5x

(y-12)/4=5x

The solution for y will be y = -4/5x-3

Numbers, symbols and operators grouped together that show the value of something.

Given an expression, 1+y=-4/5x-2

Solving for y, we get

1+y=-4/5x-2

y = -4/5x-2-1

y = -4/5x-3

Hence, The solution for y will be y = -4/5x-3

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Answer:

Step-by-step explanation:

f(x) = 4x - 12

f(2) = 4*2 - 12

f(2) = 8 - 12

f(2) = - 4

Answer:

60 feets

Step-by-step explanation:

Given that :

Using Pythagoras rule :

Hypotenus = sqrt(Adjacent^2 + opposite^2)

From the attached picture :

x² = 87^2 - 63^2

x^2 = 7569 - 3969

X^2 = 3600

Take the square root of both sides :

X = sqrt(3600)

X = 60 feets

Hence, Katy and Tony are 60 feets apart

Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

Assuming you require the equation of the line.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)

m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 8) , then

8 = 4 + c ⇒ c = 8 - 4 = 4

y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line

Answer:

C) 0.71.

Step-by-step explanation:

To find the probability of an event occurring, we need to sum up all the probabilities of the outcomes that satisfy the event. In this case, the event "F or C" is satisfied by all the outcomes in which the participant's first motor vehicle had four cylinders or was a car.

We can see from the table that 118 out of the 200 participants had their first motor vehicle as a car, so the probability of this event occurring is 118/200 = 0.59. Similarly, we can see that the probability of the event "first motor vehicle had four cylinders" occurring is (118 + 4) / 200 = 0.62.

Therefore, the probability of the event "F or C" occurring is the sum of the probabilities of these two events occurring, which is 0.59 + 0.62 = 0.71. The correct answer is therefore C) 0.71.

The value of the probability P(F or C) is 0.80, Option D is correct.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that a survey participant is randomly selected.

Let F be the event that the participant’s first motor vehicle had four cylinders and

let C be the event that the participant’s first motor vehicle was a car.

We need to find the value of P(F or C)

The number of P or c is 118+6+18+16+2

=160

The number of people in total are 200.

P(F or C )= 160/200

=0.80

Hence, the value of the probability P(F or C) is 0.80, Option D is correct.

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Answer:

let the third proportion be x.

then 8,12 and x are in proportion

then 8:12=12:x

8x=12×12

x=144/8=18

Step-by-step explanation:

Answer:

[7]

[4]

[2]

Step-by-step explanation:

The first matrices has 3 rows and 3 columns.

The second matrices has 3 rows and 1 column.

Therefore, your result with have 3 rows and 1 column because the smaller row and column is used.

Solve:

[3 * 2 + 6 * 0 + 1 * 1] [7]

[2 * 2 + 0 * 0 + 0 * 1] = [4]

[0 * 2 + 6 * 0 + 2 * 1] [2]

Answer:

c

Step-by-step explanation:

its in slope intercept form, or y=mx+b where b is the y intercept, i.e. how far down the line hits the y axis. m would be the slope but we dont need to worry about that for now. since b is the y intercept, -8 would mean 8 units down

Answer:

3 3/4 cups of sugar

Step-by-step explanation:

Answer:

c= -20h + 90

Step-by-step explanation:

The equation that  describes the relationship  between c and h is:

[tex]c= -20h + 90[/tex]

We have the graph that shows the amount of charge left on  computer, c, after  h hours.

Let us consider two points (h, c) on the graph

(0,90) and (4.5, 0)

Now the equation of the line passing through two points

[tex]\frac{c-90}{h-0} =\frac{0-90}{4.5-0} \\c-90=-20h\\c=-20h+90[/tex]

So, the equation that  describes the relationship  between c and h is:

[tex]c= -20h + 90[/tex]

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Answer:

208

Step-by-step explanation:

20 × 0 = 0

40 + 40 = 80

125 + 3 = 128

The given expression [tex]40+40-20\times 0+3+125[/tex] is reduced to 208 and this can be determined by using the arithmetic operations.

Given :

Expression - [tex]40+40-20\times 0+3+125[/tex]

The following steps can be used to evaluate the given expression:

Step 1 - Write down the expression.

[tex]=40+40-20\times 0+3+125[/tex]

Step 2 - First, multiply -20 by 0 in the given expression.

[tex]=40+40-0+3+125[/tex]

Step 3 - Now, Add 40 and 40 in the above expression.

= 80 + 3 + 125

Step 4 - Add 80 and 3 in the above expression.

= 83 + 125

Step 5 - Add 83 and 125 in the above expression.

= 208

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Answer:

40

Step-by-step explanation:

20% of 120 which is 24 are lions

half of the animals which is 120 ÷ 2 is 60 for the zebra

therefore, 60+24 is 84

120 - 84 is 36

Answer:

‍♂️ but if you know please answer

Answer:

12344567891011121314151617181920

Step-by-step explanation:

12344567891011121314151617181920

Answer:

C. Distribute 4 to (6 - x).

Step-by-step explanation:

Person above is right.

Juan’s first step should be C. Distribute 4 to (6 – x).

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a b + a c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

We are given an equation as;

4(6 – x) = 12

Here Juan wants to solve the equation, using the Distributive Property.

thus, 4(6 – x) = 12

First step is to distribute 4.

4(6) – 4(x) = 12

Then solve;

24 - 4x = 12

x = 3

Hence, Juan’s first step should be C. Distribute 4 to (6 – x).

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Answer:

Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Step-by-step explanation:

We need to find average rate of change of f over the interval -1 < x < 1

The function given is: [tex]f(x)= x^2-x-1[/tex]

The formula used to find average rate of change is:

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]

We have, a = -1 and b = 1

Finding f(b) when b=1

[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]

Now, finding f(a), when a= -1

[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]

Now, putting values and finding average rate of change

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]

So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Answer:

She spent 19.82 in all

Step-by-step explanation:

I added them

Answer:

Step-by-step explanation:

y2-y1=

x2-x1

2--4=6(negatives cancel out)

3-1=2

so 6/2 =3

3 is slope

Answer:

The next number is -12 ⇒ B

Step-by-step explanation:

Let us solve the question

∵ The pattern is 2,916, -972, 324, -108, 36, ....

→ All the given numbers are divisible by 3 because the sum of

  the digits of each number can divide by 3

∵ The pattern has positive and negative numbers

∴ Each next term = the previous term ÷ -3

→ Let us do that to find the missing number

∵ 2916 ÷ -3 = -972

∵ -972 ÷ -3 = 324

∵ 324 ÷ -3 = -108

∵ -108 ÷ -3 = 36

→ Find the next number by divide 36 by -3

∵ 36 ÷ -3 = -12

∴ The next number is -12

Answer:

36,960

Step-by-step explanation:

multiply 5280 by 7

Answer:

27.4%

Step-by-step explanation:

Step one:

given

original cost $69

seling price $52

Required

The percent reduction

Step two:

% reduction= change in price/original price*100

% reduction= 69-52/62*100

% reduction=17/62*100

% reduction= 0.274*100

% reduction= 27.4%

Answer:

81

Step-by-step explanation:

The value of f(1) for the recursive function is (d) 81

The recursive function is given as:

[tex]f(n + 1) = \frac 13f(n)[/tex]

Multiply both sides of the equation by 3

[tex]3f(n + 1) = f(n)[/tex]

Rewrite as:

[tex]f(n) = 3f(n + 1)[/tex]

Set n = 2;

[tex]f(2) = 3f(2 + 1)[/tex]

[tex]f(2) = 3f(3)[/tex]

Set n = 1 in [tex]f(n) = 3f(n + 1)[/tex]

[tex]f(1) = 3f(1 + 1)[/tex]

[tex]f(1) = 3f(2)[/tex]

Substitute [tex]f(2) = 3f(3)[/tex]

[tex]f(1) = 3 \times 3f(3)[/tex]

[tex]f(1) = 9f(3)[/tex]

Substitute 9 for f(3)

[tex]f(1) = 9 \times 9[/tex]

[tex]f(1) = 81[/tex]

Hence, the value of f(1) for the recursive function is (d) 81

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Answer:

option A, I guess .....

.

Answer:

the question is cut in half

Answer:

-50n + 42

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

-8n - 7(6n - 6)

Step 2: Simplify

Answer:

y=20x75 is the answer

Step-by-step explanation:

You can basically eliminate other two choices since they are division

Answer: Choice A) The value of s(x) depends on the value of x, since s is a function of x.

The outer letter s tells us what the function's name is. It's the dependent variable and it might be handy to tie it to the y variable. The x is the independent variable. It changes freely without relying on what s happens to be.

Answer:  A. The value of s(x) depends on the value of x, since s is a function of x.

Step-by-step explanation: s(x) is the output of the function when a given value of x is calculated according the operations in the function.