Please help me, inequalities...............................

Answer:

Step-by-step explanation:

The answer is D because all you need to do is multiply everything by 0.5, or one half.

The equation of line is given as : y = 3x + 6

According to the question we have been given that the line passes through the points (-1,3) and has gradient 3

We need to find the equation of line. The general form of slope intercept form is

              y = mx + c

where,  m = slope

            c = intercept

When a point and slope is given then the expression for the equation of line is given as:

                   [tex](y - y_{1})=m(x-x_{1})\\[/tex]          (1)

where (x1,y1) are the coordinates which is (-1,3)

           m = slope or gradient = 3

Putting the required values in  equation (1) we get

                 (y-3) = 3(x+1)

                  y-3 = 3x + 3

                   y = 3x + 6

Hence the equation of line is given as : y = 3x + 6

Learn more about slope intercept form here : https://brainly.com/question/19440459

#SPJ9

Answer: y=3x+6

Step-by-step explanation:

To cover a floor with an area of 10 square foot, 5 tiles is needed.

Area is the amount of space enclosed by a two-dimensional figure.

If the tile is 2 feet long and twice as long as they are wide, suppose that the tile is a rectangle, then the area of each tile will be:

Area of tile = l x w

where l = 2 feet

w = 1 foot

Area of tile = 2feet(1 foot)

Area of tile = 2 ft^2

To determine how many tiles are needed to cover a 10 foot square floor, divide the area of the floor with the area of each tile.

# of tiles = Area of floor/Area of each tile

# of tiles = 10 ft^2/2ft^2

# of tiles = 5

Learn more about area here: https://brainly.com/question/25292087

#SPJ4

Answer:

( 0, -4)

Step-by-step explanation:

The y-intercept in a linear function will always have 0 as the x-coordinate.

Answer:

-1/6x^8y^7

Step-by-step explanation:

The number of students going on the trip is 60.

Given that, total cost = $4220

Cost per student= $30+$40=$70

Additional cost = $20

We need to find the number of students.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of students be x.

Cost paid by students = 4220-20 = 4200

Number of students = cost paid by students/cost per student

x = 4200/70

⇒x= 60

Therefore, the number of students going on the trip is 60.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ4

Answer: False.

Step-by-step explanation: The table does not follow a pattern or a relation.

Using a system of equations, the equation that determines how many balloons each friend receives is given by:

2 + 4 + 2b = 20.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

You want to buy 2 sodas for Jake, 4 candy bars for Julian, hence:

s = 2, c = 4.

An equal number of balloons b, hence 2b is added to the equation, as the amount has to be 2, 4, 6, and so on, considering one balloon for each.

The total amount of money is of $20, hence the equation is:

2 + 4 + 2b = 20.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

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

Work Shown:

t = x³

f(x) = 1 + 12x³ + 3x⁶

f(x) = 1 + 12x³ + 3(x³)²

f(t) = 1 + 12t + 3t²

f(t) = 3t² + 12t + 1

f(t) = 3(t² + 4t) + 1

f(t) = 3(t² + 4t + 4 - 4) + 1 .... see note below

f(t) = 3( (t²+4t+4) - 4) + 1

f(t) = 3( (t+2)² - 4) + 1

f(t) = 3(t+2)² - 3*4 + 1

f(t) = 3(t+2)² - 12 + 1

f(t) = 3(t+2)² - 11

The smallest that t² can get is 0. By extension, the smallest (t+2)² can get is also 0, and same goes for 3(t+2)².

So effectively we replace the 3(t+2)² portion with 0 and end up with  3(t+2)²-11 = 0-11 = -11 as the minimum value of f(x)

This is the smallest output possible. Confirmation of such is shown in the  graph below.

------------

Note: Recall that (A+B)² = A²+2AB+B². If we use this rule on (t+2)², then we get t²+4t+4. Earlier we simply had t²+4t without the extra +4 at the end. So I added 4 and subtracted 4 to balance things out. This completed the square.

Answer:

The archaeologists dis not actually discovered the lost temple

Step-by-step explanation:

For us to be able to determine if the archaeologist actually discovered the lost temple, we need to find the dimension of the temple first.

Area of the temple = LW

Perimeter = 2L + 2W

L is the length

W is the width

If the perimeter is 220m

220 = 2L + 2W

110 = L+W ... 1

If the area is 2100 square meters

A = LW

2100 = LW ... 2

From 1;

L = 110 - W .... 3

Substitute 3 into 2

From 2;

2100 = LW

2100 = (110-W)W

2100 = 110W - W²

- W² + 110W - 2100 = 0

W² - 110W + 2100 = 0

Using the general formula;

W = -(-110)±√(-110)²-4(1)(2100)/2

W = 110±√3700/2

W = 110±60.83/2

W = 110±60.83/2

W = 110+60.83/2 and W = 110-60.83/2

W = 170.83/2 and 49.17/2

W = 85.415m and 24.585m

Substitute the width into the formula to get the length;

LW = 2100

L = 2100/W

L = 2100/85.415

L = 24.59 m

If the width is 24.585m;

L = 2100/24.585

L = 85.42m

Since we have different dimension of the temple, this show shat the archaeologists dis not actually discovered the lost temple

Answer:

-12 and 12

Step-by-step explanation:

Answer:

Scale factor: 2

PR = 14

Perimeter = 34

Step-by-step explanation:

Similar Triangles

Similar triangles are those who have their corresponding side lengths proportional, i.e. the ratio of the corresponding sides is equal.

The figure shows similar triangles ABC and PQR. We can also see corresponding sides BC and QR have lengths 6 and 12 respectively.

The scale factor is [tex]\frac{12}{6}=2.[/tex]

The rest of the sides can be calculated by using the per-image triangle ABC side lengths and the new-found scale factor. Thus:

PR = AC*2 = 7*2 = 14

PR = 14

PQ = AB*2 = 4*2 = 8

The perimeter of the triangle PRQ is the sum of its side lengths:

P = 12 + 14 + 8 = 34

Answers:

Scale factor: 2

PR = 14

Perimeter = 34

Aidan's average speed on his drive home is 26 2/3 miles per hour

Average speed is the total distance travelled per time. It indicates how fast an object is moving.

Average speed = total distance / total time

The first step is to determine the time it would take Aidan to drive to school :

Time = distance / speed

16 / 40 = 2/5 hours = 2/5 x 60 = 24 minutes

The second step is to determine the time it would take Aidan to drive from school

Time it would take to drive home from school = 60 minutes - 24 minutes = 36 minutes = 36/60 = 3/5 hours

Aidan's average speed to drive home = 16 miles ÷ 3/5

16 x 5/3 = 80 / 3 = 26 2/3 miles per hour

To learn more about average speed, please check: https://brainly.com/question/21734785

#SPJ1

Answer:

answer is 27 B, on edge.

Step-by-step explanation:

Answer:

27,328.016

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

In order to find the x-intercept and y-intercept, you have to substitute 0 into each expression :

[tex]let \: x = 0[/tex]

[tex]0 - 3y = 6[/tex]

[tex] - 3y = 6[/tex]

[tex]y = 6 \div ( - 3)[/tex]

[tex]y = - 2[/tex]

[tex]let \: y = 0[/tex]

[tex]2x - 0 = 6[/tex]

[tex]2x = 6[/tex]

[tex]x = 6 \div 2[/tex]

[tex]x = 3[/tex]

Given that the x-intercept is 3 and y-intercept is -2. By looking at the picture, graph C fits the coordinates, (3,0) and (0,-2).

Answer:

81%

Step-by-step explanation:

divide 162 by 200

c i think lmk if I got this

The value of H when T is 85 is 2.5 hours which is calculated from the linear equation in two variables.

The linear equation in two variables is defined as an equation which defines the relationship between two unknown variables.

Given the linear equation for total amount of money(T) which is the dependent variable using the independent variable H(number of hours worked) .

T=35 + 20 H

At T = 85 , we substitute the value of T in the linear equation to find H .

T=35 + 20 H

or, 85 = 35 + 20H

or, 50=20H

or, H=2.5

Therefore the value of H is 2.5 hours when T is 85.

To learn more about linear equation visit:

https://brainly.com/question/2030026

#SPJ9

Answer:

This is a 75% off sale.

Step-by-step explanation:

Hope this helps you :)

Answer:

25 % off

Step-by-step explanation:

30 is 75% of 40 so 25 down

Answer:

The equation of the line in slope-intercept form is:

Step-by-step explanation:

Given the points

Finding the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)[/tex]

[tex]m=\frac{-5-5}{-1-\left(-8\right)}[/tex]

[tex]m=-\frac{10}{7}[/tex]

We know the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept

[tex]5\:=\:\frac{-10}{7}\left(-8\right)+b[/tex]

[tex]\frac{80}{7}+b=5[/tex]

[tex]b=-\frac{45}{7}[/tex]

now substituting m = -10/7 and b = -45/7 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)[/tex]

[tex]y\:=\:\frac{-10}{7}x-\frac{45}{7}[/tex]

Thus, the equation of the line in slope-intercept form is:

Answer:

34

Step-by-step explanation:

Givens:

-$51 for 3 hours of work

-2 hours?

Find unit rate:

51 divided by 3

17 per hour

17 times 2 (for 2 hours)

34

Answer:all real numbers your welcome

Step-by-step explanation:

Answer:

71/50

Step-by-step explanation:

142                                                                                                                             100

Both numbers are even. Divide by two.

71                                                                                                                           50

Can't be simplified any further

Make it a mixed number.

1  21/50

The number 142 % in mixed number form is 1 21/50

What are Mixed Numbers?

A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Given data ,

The number given is = 142 %

On simplifying , we get

142 % = 100 % + 42%

We know that 100 % = 1

So ,

42 % = 42 / 100

Divide by 2 on both numerator and denominator , we get

21 / 50

So , the number 142 % is written as 1 21/50

Or ,

Simplifying 142 / 100 , we get

142 / 100 = 71 / 50

Converting 71 / 50 into mixed number , we get 21 as the remainder ,

Therefore , the mixed number form of 71 / 50 is 1 21/50

Hence , the mixed number form is 1 21/50

To learn more about mixed numbers click :
https://brainly.com/question/2639375

#SPJ2

Answer:

x - 8

Step-by-step explanation:

Answer:

Here you can simply use a single operator:

x - 8

B. Each time, t, is associated with exactly one car value, y.

Answer:

B

Step-by-step explanation:

I got it right on the test

Answer:

23.41 feet

Step-by-step explanation:

The ladder forms a right angle triangle with the wall

Height of the wall (opposite) = 22 feet

Bottom of the ladder from the wall (adjacent) = 8 feet

What is the length of the ladder?

Length of the ladder (hypotenuse)

Using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

= 22² + 8²

= 484 + 64

= 548

Hypotenuse ² = 548

Hypotenuse = √548

= 23.41 feet

The length of the ladder is 23.41 feet