Solve the system by substitution 10x-2y=-16 and y=3x

Answer:

Please find attached the required graph of the inequality, y  created using Microsoft Excel

Step-by-step explanation:

The inequality is presented as follows;

y > x² + 2·x - 8

We can graph the inequality using Microsoft Excel by generating the data points as follows;

x    [tex]{}[/tex]       y

-9    [tex]{}[/tex]      55

-8    [tex]{}[/tex]      40

-7    [tex]{}[/tex]      27

-6    [tex]{}[/tex]      16

-5    [tex]{}[/tex]      7

-4    [tex]{}[/tex]      0

-3    [tex]{}[/tex]      -5

-2    [tex]{}[/tex]      -8

-1    [tex]{}[/tex]      -9

0    [tex]{}[/tex]      -8

1    [tex]{}[/tex]       -5

2    [tex]{}[/tex]      0

3    [tex]{}[/tex]      7

4    [tex]{}[/tex]      16

5    [tex]{}[/tex]      27

6    [tex]{}[/tex]      40

7    [tex]{}[/tex]      55

8    [tex]{}[/tex]      72

9    [tex]{}[/tex]      91

The points are plotted and a dashed line is used to join the points to represent the > inequality symbol. The region above the graph of the inequality is then shaded.

Answer:

$0.0452

Step-by-step explanation:

100 tea bags coat $4.52

1 " " " 4.52/100

$ 0.0452

12miles

Step-by-step explanation:

this is because 28 divide by 7 is 4 so 4 a day is 12 for 3 days

Answer:

revers card

Step-by-step explanation:

Answer:

( 2 x  +  1 )  ( x  +  4 )

Step-by-step explanation:

Answer

59.5

Step-by-step explanation:

This is what I think!

Answer:

14z-9

Step-by-step explanation:

[tex]\frac{84z-54}{6}[/tex]

Answer:

x = 55 degrees

Step-by-step explanation:

180 - 164 = 16. 16 + 109 = 125. A triangle's angles should add up to 180, so to find the value of x, subtract 180 by 125 and you'll get 55.

Answer:55

Step-by-step explanation:

Steps below

Answer:

x = 6

Step-by-step explanation:

This means that they are equivalent to each other.

10 = 30 *Multiply by 3

2 = x

Since we multiplied by 3 to get 30, x is just 2 mulitplied by 3.

x = 6

Answer:

Hi

the answer would be:

10/40 = 2/2+x => if you solve the equation, it'll be equal to : x = 6

I hope that it's correct.

Step-by-step explanation:

Answer:

22x?

Step-by-step explanation:

is there more to this question? if not its just simple addition and then add "x" at the end

Answer:

Step-by-step explanation:

To get a length of any side 8+10=18

the area= L^2=

                18^2=324m

Answer:

the equation of the parabola in vertex form is y=3(x+2[tex])^{2}[/tex]-4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x × 4 =12x

Mark me brainliest pls

and thank me

Answer:

I think it is A

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

ED and CF are paralell to eachother

Answer:

Step-by-step explanation:

Dimensions of rectangle:

The area is the product of the two dimensions:

Answer:

d = -12

Step-by-step explanation:

Add -8 -5 +7

take that number : -6

72 divided by -6 = -12

d = -12

Answer:

The value of p is $12.

Step-by-step explanation:

Given;

c = px + 29y ,,,,,,,,,,,,,,,,,,, (1)

Where;

c = cost of buying x T-shirts and y sweatshirts from the store

p = price of one or each T-shirt = ?

x = number of T-shirts bought

29 = price of one or each sweatshirt

y = number of sweatshirt bought

Based on the above breakdown, if each sweatshirt cost $17 more than a T-shirt, the value of p can be calculated as follows:

29 = p + 17

p = 29 - 17

p = 12

Therefore, the value of p is $12.

Additional note:

Note that this is not part of the question but it is just an example to make you understand the question better.

If we assume that 10 T-shirts and 10 sweatshirts are bought from the store, we can use equation (1) above to calculate the cost as follows:

Where;

c = cost of buying x T-shirts and y sweatshirts from the store = ?

p = price of one or each T-shirt = 12

x = number of T-shirts bought = 10

29 = price of one or each sweatshirt

y = number of sweatshirt bought = 10

Substituting the values into equation (1), we have:

c = (12 * 10) + (29 * 10)

c = 120 + 290

c = 410

Therefore, the cost of of buying 10 T-shirts and 10 sweatshirts from the store will be $410.

Answer:

Javier walks more steps than ebony given the same minutes

Step-by-step explanation:

Javier records a walk of 6000 steps in 50 minutes.

Ebony describes her step rate with the equation y=118x

Where,

y = number of steps

x = number of minutes she walks

Javier and Ebony each walk a total of 5 hours. Who walks more steps?

5 hours = 5 × 60 minutes

= 300 minutes

Javier records a walk of 6000 steps in 50 minutes.

6000 : 50 minutes = x : 300 minutes

6000/50 = x / 300

Cross product

6000 * 300 = 50 * x

1,800,000 = 50x

x = 1,800,000 / 50

= 36,000

x = 36,000

Javier walks 36,000 steps

Ebony describes her step rate with the equation y = 118x

x = 300 minutes

y = 118(300)

= 35,400

y = 35,400

Ebony walks 35,400 steps

Therefore,

Javier walks more steps than ebony given the same minutes

Answer:

- [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Given

2y = - 3x - 8 ( divide all terms by 2 )

y = - [tex]\frac{3}{2}[/tex] x - 4 ← in slope- intercept form

with gradient = - [tex]\frac{3}{2}[/tex]

The gradient of the straight line 2y = -3x - 8 will be -1.5.

A straight line is a combination of endless points joined on both sides of the point.

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
The slope(gradient) 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the equation of the line is, 2y = -3x - 8

Rearrange the equation in the standard form of the equation as

2y = -3x - 8

y=-3/2 x-8/2

y= -1.5x - 4

Compare the obtained equation with the standard equation,y=mx+b. Where m is the gradient of the straight line.

m= -1.5

Thus, the gradient of the straight line 2y = -3x - 8 will be -1.5.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ5

Answer: he average retail price of grapes is $2.09 per pound, according to United States Department of Agriculture's Economic Research Service, with most bags weighing in around two pounds. That's where it's easy to get tricked: Grapes for $3.99 per pound don't sound so bad, but a 2.5-pound bag would set you back nearly $10.

Step-by-step explanation:

Answer:

5,12,13

Step-by-step explanation:

The sides are almost close for the distance and so 5 doenst go with 12 and 13, its too small. For dimensions while the other numbers are close to being related. Do you know what I mean?

Hope this helped a little tho!

Answer:

x=-28

Step-by-step explanation:

Answer:

x=-28

Step-by-step explanation:

Answer:

k = 0.25t^2

Step-by-step explanation:

Given the equation :

b = 0.25t

b = number of inches that has burned away

t = time

From our knowledge of variation;

Since candle length will decrease with time ;

b α 1/ t

b = k/t

Where k is the proportionality constant

Comparing the equation :

b = 0.25t

k/t = 0.25t

k = 0.25t^2

Answer:

b

Step-by-step explanation:

Just did the test got it right

The equation that represents the graph of the function g(x) is g(x) = f(x + 3) - 2

The equation of the function f(x) is given as:

f(x) = x^3

The function g(x) is shifted down by 2 units and shifted left  by 3 units, to get the function g(x)

This means that:

g(x) = f(x + 3) - 2

So, we have:

g(x) = f(x + 3) - 2

Hence, the equation that represents the graph of the function g(x) is g(x) = f(x + 3) - 2

Read more about function transformation at:

https://brainly.com/question/4025726

#SPJ2

Answer:

a. The four sides of the quadrilateral ABCD are equal, therefore, ABCD is a rhombus

b. The equation of the diagonal line AC is y = 5 - x

The equation of the diagonal line BD is y = 5 - x

c. The diagonal lines AC and BD of the quadrilateral ABCD are perpendicular to each other

Step-by-step explanation:

The vertices of the given quadrilateral are;

A(1, 4), B(6, 6), C(4, 1) and D(-1, -1)

a. The length, l, of the sides of the given quadrilateral are given as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

The length of side AB, with A = (1, 4) and B = (6, 6) gives;

[tex]l_{AB} = \sqrt{\left (6-4 \right )^{2}+\left (6-1 \right )^{2}} = \sqrt{29}[/tex]

The length of side BC, with B = (6, 6) and C = (4, 1) gives;

[tex]l_{BC} = \sqrt{\left (1-6 \right )^{2}+\left (4-6 \right )^{2}} = \sqrt{29}[/tex]

The length of side CD, with C = (4, 1) and D = (-1, -1) gives;

[tex]l_{CD} = \sqrt{\left (-1-1 \right )^{2}+\left (-1-4 \right )^{2}} = \sqrt{29}[/tex]

The length of side DA, with D = (-1, -1) and A = (1,4)   gives;

[tex]l_{DA} = \sqrt{\left (4-(-1) \right )^{2}+\left (1-(-1) \right )^{2}} = \sqrt{29}[/tex]

Therefore, each of the lengths of the sides of the quadrilateral ABCD are equal to √(29), and the quadrilateral ABCD is a rhombus

b. The diagonals are AC and BD

The slope, m, of AC is given by the formula for the slope of a straight line as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore;

[tex]Slope, \, m_{AC} =\dfrac{1-4}{4-1} = -1[/tex]

The equation of the diagonal AC in point and slope form is given as follows;

y - 4 = -1×(x - 1)

y = -x + 1 + 4

The equation of the diagonal AC is y = 5 - x

[tex]Slope, \, m_{BD} =\dfrac{-1-6}{-1-6} = 1[/tex]

The equation of the diagonal BD in point and slope form is given as follows;

y - 6 = 1×(x - 6)

y = x - 6 + 6 = x

The equation of the diagonal BD is y = x

c. Comparing the lines AC and BD with equations, y = 5 - x and y = x, which are straight line equations of the form y = m·x + c, where m = the slope and c = the x intercept, we have;

The slope m for the diagonal AC = -1 and the slope m for the diagonal BD = 1, therefore, the slopes are opposite signs

The point of intersection of the two diagonals is given as follows;

5 - x = x

∴ x = 5/2 = 2.5

y = x = 2.5

The lines intersect at (2.5, 2.5), given that the slopes, m₁ = -1 and m₂ = 1 of the diagonals lines satisfy the condition for perpendicular lines m₁ = -1/m₂, therefore, the diagonals are perpendicular.

Answer: 640 students.

Step-by-step explanation:

given data:

number of student chosen to attend by the mayor = 160

amount this student represents of the total population = [tex]\frac{1}{4}[/tex]

solution:

since [tex]\frac{1}{4}[/tex] was chosen which is 160 this means that [tex]\frac{1}{4} is \geq 160[/tex]

therefore;

[tex]\frac{1}{4} = 160\\[/tex]

multiply both sides by 4

[tex]\frac{1}{4} . 4 = 160 .4\\= 640[/tex]

the least number of students that attend melvins school is 640.

Answer:

$20.95

Step-by-step explanation:

.15x24.65=3.6975

24.65-3.6975 =$20.95

Hope this helps! Have a wonderful day!

Answer:

The answer is 16

Step-by-step explanation:

X^3=64

Y^2=4

so 64 divided by 4 is 16

Answer:

16

Step-by-step explanation:

this might help you

Answer:

p x 0.79 = 7.90 or 0.79 x p =7.90