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The inequality expression has a solution of (-oo, -5]

From the question, the inequality is given as

7 x plus 5 less than or equals minus 30

The above inequality can be re-written as follows

7x + 5 ≤ -30

There are constants to add or subtract in the expression

So, we start by subtracting both sides of the expression by the constant -5

This gives

7x ≤ -35

Divide both sides by 7

So, we have the following representation

x ≤ -5

Express as interval notation

(-oo, -5]

Hence, the solution to the expression is (-oo, -5]

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The values for the stated domain of the function are-

F(-4) = 10; F(2) = 4; F(0) = 0.

As per the stated function.

F(x) = 6-x

The domain for the function are-

-4,2,6

The value of the function are, put each value in the place of x in the function.

F(-4) = 6 - (-4)

F(-4) = 6 + 4

F(-4) = 10

F(2) = 6 - 2

F(2) = 4

F(6) = 6 - 6

F(0) = 0

Thus, the values for the stated domain of the function are- 10, 4 and 0 respectively.

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When plate is rotated 720° about the origin in the counterclockwise direction they form parallel segments.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The coordinates of the figure EFGH are given as:

E = (-4,8)

F = (-7,5)

G = (-4,3)

H = (-2,5)

The rule of rotation 720 degrees counterclockwise about the origin in the

(x,y) -> (-y,x)

So, we have:

E' = (-8, -4)

F' = (-5, -7)

G'= (-3, -4)

H' = (-5, -2)

when plate is rotated 720° about the origin in the counterclockwise direction they form parallel segments.

Hence when plate is rotated 720° about the origin in the counterclockwise direction they form parallel segments.

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The cost of producing 24 computer desks is $4440   .

In the question ,

it is given that ,

the equation representing the cost of producing "x" computer desks is

y = 60x + 3000 ,

we need to find the cost of producing 24 computer desks ,

substituting x = 24 in the cost equation for producing computer desks ,

we get ,

y = 60(24) + 3000

On further simplification ,

we get ,

= 1440 + 3000

Adding the numbers ,

we get ,

= 4440

the cost is $4440 .

Therefore , The cost of producing 24 computer desks is $4440   .

The given question is incomplete , the complete question is

The cost in dollars y of producing x computer desks is given by y = 60x + 3000 , Find the cost of producing 24 computer desks .

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Answer:

Step-by-step explanation:

the anser is 3 + 5 =8

The population of California by the year 2020 is  41 million.

The term population has to do with the number of people that live in a place or a town. We have the following information from the question;

Initial population (Po) = 37 million

Population growth rate (r) = 1.0%

Time interval (t) = 10 years

P = The population of the city of California at the time t

Now using the formula;

P = Poe^rt

P = 37 * 10^6 e^0.01 * 10

P = 4.089 * 10^7 or 41 million

They would have a population of 41 million in ten years.

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1. The bank discount on the note of $6,000, maturable in 160 days at 3.5%, is $93.33.

2. The original noteholder will receive total proceeds of $5,906.67 after the bank discount.

Bank discount is the difference between the below-par and par (face) values.

For example, if the bank discounts a note, the noteholder will receive an amount smaller than the face value they would have received if they had held the note till its maturity.

The discount represents the finance charge levied for cashing the note earlier than its due date.

Amount due at maturity = $6,000

Discount rate = 3.5%

Time (period) = 160 days

Days in the year for ordinary interest = 360 days

Bank discount = $93.33 ($6,000 x 3.5% x 160/360)

The proceeds = $5,906.67 ($6,000 - $93.33)

Thus, the bank discount is the difference between the face value and the net proceeds (discounted value) resulting from discounting a note before its maturity.

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(4.25,6.5) is the solution of the equation.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The estimate is pretty close for both equations. For the first equation, the estimate results in a value that is only 0.2125 units away from the constant.

For the second equation, the estimate results in a value that is only 0.25 units away from the constant.

The solution lies at approximately (4.25,6.5).

Hence (4.25,6.5) is the solution of the equation.

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The model motorcycle is 1/3 feet or 4 inches long.

Given:

A model motorcycle has a scale of 0.8 in : 1.4 ft.

If the real motorcycle is 7 ft long.

= 0.8 inches * 1 foot/12 inches

= 8/10 * 1/12 feet

= 8/120

= 1/15 feet

scale/actual = 0.8 in / 1.4 ft = 1/15/14/10 = 10/210 = 1/21

Let L be the model motorcycle length.

scale / actual = L/7

L/7 = 1/21

L = 7/21

L = 1/3 feet

L = 1/3 feet * 12 inches/1 feet

L = 4 inches

Therefore the model motorcycle is 1/3 feet or 4 inches long.

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The independent variable while calculating the volume of a rectangular prisms with equal base area and different height is the height

The input values for a specific function are represented by the independent variable (x).

During an experiment, the independent variables are kept under control. The outputs of the function are represented by the dependent variable (y). The quantities being measured are the dependent variables in an experiment.

As regard the problem, the base area is a constant, the volume calculated is the dependent variable while the height iis the independent variable.

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Answer:

b) associative

Step-by-step explanation:

The associative property of multiplication was used to change the position of the parentheses

Answer:

x=21/5, x=4.2, or x=4 1/5

Step-by-step explanation:

The real world description of the quantity two times x and quantity divided by 10 is the cost per pizza for 2 pizzas divided by 10 people.

According to the question,

We have the following information:

Two times x and the quantity is divided by 10.

So, we have the following expression for this word problem:

2x/10

Now, in option a, the expression will be:

(x/10)+2

Now, in option b, the expression will be:

(x+2)/10

Now, in third option, the expression for the word problem will be:

10x/2

Now, in option d, we have the following algebraic expression:

2x/10

Now, the last expression matches with the expression given in the question.

Hence, the correct option is d.

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A cube is a three-dimensional solid object which has six square faces, facets or sides, and each meeting at a vertex.

How to find the Volume of a cube?

Volume is defined as the measurement of space occupied by the three-dimensional object.

Volume (V) = s³  where

V=volume

S=sides

V= (1/3b³)³

applying the power law of indices

V = (1/3b)∧9 cubic units

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Answer:

The answer is -3n,10.1,11/10,19/2,-101 is the right answer form my side

Answer:

(-6,5)(-3,-3)y

here is an equation I hope this helps :) <3

If the ratio of a basketball players completed free throws to attempted free throws is 9 to 12. If she attempted 20 free throws, the number of  free throws she completed is 27 free throws.

Given data:

Attempted free throws = 9 to 12

Free throws = 20

Formulate

9/12= 20/x

Cross-multiply

9x = 20× 12

9x = 240

Divide both side by 9x

x = 240/9

x = 26.6

x = 27 free throws (Approximately)

Therefore the free throws is 27.

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Profit function = P(x) = 11x - 264 and 24 Units must be produced for the business to break even.

What is a Profit function?

A mathematical link between a company's overall profit and output is called a profit function. It is greatest when the firm's marginal revenue and cost are equal. It is equal to total revenue minus total costs.

How to calculate the profit function?

Profit function = Revenue function - Cost function

P(x) = R(x) - C(x)

Here, we have

R(x) = 12x

C(x) = x + 264

by applying the Profit function formula, we get

P(x) = 12x - x - 264

P(x) = 11x - 264

At this point, there is no profit or loss.

so, at break-even P(x) = 0

11x - 264 = 0

x = 24

Hence, Profit function = P(x) = 11x - 264, and 24 Units must be produced for the business to break even.

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Solution of the given system of equations using Cramer's rule is given by : x = -96 / 190 , y = -17/19 .

As given in the question,

Given system of equations are as follow:

-10x -10y = 14

-10x + 9y = -3

Solution of the given system of equations using Cramer's rule is given by :

D = [tex]\left|\begin{array}{ccc}-10&-10\\-10&9\\\end{array}\right|[/tex]

   = -90 -100

   = -190

Dₓ = [tex]\left|\begin{array}{ccc}14&-10\\-3&9\\\end{array}\right|[/tex]

    = 126 - 30

    = 96

[tex]D_{y}[/tex] = [tex]\left|\begin{array}{ccc}-10&14\\-10&-3\\\end{array}\right|[/tex]

     = 30 +140

     = 170

x = Dₓ/D

 = 96/ -190

 = -96/190

y = [tex]D_{y}[/tex]/ D

  = 170/-190

  = -17/19

Therefore, solution of the given system of equations using Cramer's rule is given by : x = -96 / 190 , y = -17/19 .

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Answer:

1) The top angle = 128°

Right angle = 52°

Bottom angle = 128°

Left angle = 52°

2) The top angle = 159°

Right angle = 21°

Left angle = 21°

Step-by-step explanation:

The left problem would involve verticle angles being congruent to each other.

[tex]5x + 2 = x + 42\\\\6y + 8 = 7y - 12[/tex]

Solve each equation:

[tex]5x + 2 = x + 42\\4x = 40\\x = 10[/tex]

[tex]6y + 8 = 7y - 12\\20 = y[/tex]

Substitute:

The top angle = 128°

Right angle = 52°

Bottom angle = 128°

Left angle = 52°

The right problem would involve supplementary angles.

[tex]\frac{1}{4}y - 1 + 27x + 24 = 180\\\\27x + 24 + 4x + 1 = 180[/tex]

Solve for second equation (for simplicity) :

[tex]27x + 24 + 4x + 1 = 180\\31x + 25 = 180\\31 = 155\\x = 5[/tex]

Substitute x = 5 into other equation :

[tex]\frac{1}{4}y - 1 + 27x + 24 = 180\\\frac{1}{4}y - 1 + 27(5) + 24 = 180\\\frac{1}{4}y = 22\\y = 88[/tex]

Substitute :

The top angle = 159°

Right angle = 21°

Left angle = 21°

Answer:

3.73 (m)

Step-by-step explanation:

b = 8 * tan (25)

b = 8 * 0.466308

b = 3.730461

ANSWER 2m(m-8)(m-5)

EXPLANATION

Factor the expression: 2m(m²-13m+40)

Rewrite the term: 2m(m²-8m-5m+40)

Regroup terms into two proportional parts : 2m((m²-8m)+(-5m+40))

Factor the expression: 2m(m(m-8)-5(m-8))

Factor the expression: 2m(m-8)(m-5)

Answer: 2m(m-8)(m-5)

Answer: 224 student ride the bus to school each day.

Step-by-step explanation:

In megan random sample of 60 students number of students preferred riding bus is found out to be 42 student.

Student riding the bus if the total number of students in the bus is 320

ratio of the student surveyed  to the student ride bus =

                                                                      =

Assuming the total number of   student riding bus = x

now,

                                           x =  224

hence, 224 student ride the bus to school each day.

Step-by-step explanation:

Answer:

f) Line l.

g) ∠1 and ∠3,  ∠2 and ∠4,  ∠5 and ∠7,  ∠6 and ∠8.

h) ∠3 and ∠6,  ∠2 and ∠7.

i) ∠4 and ∠5,  ∠1 and ∠8.

j) ∠2 and ∠3,  ∠6 and ∠7.

Step-by-step explanation:

The transversal is a line that crosses two other lines in the same plane at two distinct points.

Therefore, the transversal line of the given diagram is line l as it crosses lines j and k.

Corresponding angles are pairs of angles that are in the same position relative to both lines crossed by the transversal.

Alternate interior angles are pairs of angles on the inner side of the two lines that the transversal crosses, but on opposite sides of the transversal.

Alternate exterior angles are pairs of angles on the outer side of the two lines that the transversal crosses, but on opposite sides of the transversal.

Consecutive interior angles are pairs of angles on the inner side of the two lines that the transversal crosses, and are on the same side of the transversal.

The quadratic equation has no real roots. The roots are x = -1 +√5/2 i or x = -1 - √5/2 i

To determine the number of roots of a quadratic equation ax²+bx+c=0 you need to compute the discriminant (b²-4ac)

If the discrimant is less than 0, then the quadratic has no real roots.

If the discriminant is equal to zero then the quadratic has equal roosts.

If the discriminant is more than zero then it has 2 distinct roots.

Given: 2x² + 4x + 7

a = 2, b = 4, c = 7

b² - 4ac = (4)² -4(2×7) = 16-56 = -40

Since the discriminant is less than 0, thus 2x² + 4x + 7 has no real roots i.e. it has two imaginary roots

To find the roots, you can use the completing the square method:

2x² + 4x + 7 = 0

Divide through by 2:

x² + 2x + 7/2 = 0

x² + 2x = -7/2

Add the the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (1)² = -7/2 + (1)²

Factorise:

(x+1)² = -7/2 +1

(x+1)² = -5/2

x+1 = ± √-5/2

x = -1 ±√5/2 i                   (Note: √-1 = i)

x = -1 +√5/2 i or x = -1 - √5/2 i

Therefore, the roots are x = -1 +√5/2 i or x = -1 - √5/2 i

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Answer: I think A? not fully sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Make the subject of 6x = t

Answer:

yes because 4+8>11

Step-by-step explanation:

one you add the 2 smallest numbers and if it is greater then the larger number then it is a triangle but if it is equal or less than the biggest number it is not a triangle

Answer:yes because 4+8>11

Step-by-step explanation:

Answer: 6 and 2

Step-by-step explanation:

to find your factors, you want to set the equation equal to 0 and find what adds up to your middle term and multiplies to your last term

[tex]x^{2} -8x+8=-4\\x^{2} -8x+12=0\\(x-6) (x-2) = 0\\x-6= 0\\x-2=0\\x=6\\x=2[/tex]

Answer:

5/48

Step-by-step explanation:

[tex]\frac{5/8}{6}=\frac{5}{8(6)}=\frac{5}{48}[/tex]

Answer:

5/48 or 0.104

Step-by-step explanation:

⅝ ÷ 6

changer division sign to multiplication sign

⅝ × ⅙ = 5/48 or 0.104