Solve the equation. -4 (m + 3) = 24

Answer:

$40.00

Step-by-step explanation:

to find the cost multiply the cost per unit by the number of units: 10/6 x 24 = 40

The outline that that illustrate how k values change so that the solutions are the ones in the question are as follows

(a) The number line solution contains zero

Using algebra, we have;

The given quadratic inequality is; -x² + 4 ≥ x + k

The number line solution is the expression of the solution on the number line.

We have;

-x² + 4 ≥ x + k

-x²  - x + 4 - k ≥ 0

Dividing by (-1), we get;

x² + x - 4 + k ≤ 0

When - 4 + k = -2

k = 2, we get;

x² + x - 4 + 2 ≤ 0

x² + x - 2 ≤ 0

(x - 1)·(x + 2) ≤ 0

Given that the result of the product is less than zero, we have;

((-3) - 1)·((-3) + 2) > 0

Therefore, the solution are;

x ≤ 1, or x ≥ -2

Which gives

-2 ≤ x ≤ 1

The solution of the above inequality includes 0 as shown in the attached number line

The graph of the inequality is plotted using MS Excel, showing the solution set, of -2 ≤ x ≤ 1

(b) There are no solution to the inequality

In the present case, we have;

((-1)² - 4×(-1) × (4 - k) <  0

17 - 4·k < 0

[tex]k > \dfrac{17}{4}[/tex]

Let k = 5, we have;

-x² + 4 ≥ x + k

-x² - x + 4 - 5 ≥ 0

-x² - x  -1 ≥ 0

The discriminant, is (1² - 4×(-1)×(-1)) = -3 < 0, therefore, there are no real

roots to inequality, and -x² - x  -1 is not equal to zero.

Please find attached the graph of the function, which does not intersect with the x-axis, and therefore, has no values at which y = 0

(c) The solution is a single number

-x² + 4 ≥ x + k

When k = x + 5, we have;

0 ≥ x² + 2·x + 1

0 ≥ (x + 1)²

Therefore;

The only solution is; x = -1

Using diagrams:

Please find attached the solution of the function on the number line

The graph of the function showing only one intercept is attached

Learn more here:

https://brainly.com/question/11982012

Answer:

Y = -44 (hope this helps :)

Step-by-step explanation:

=2Y+88

We move all terms to the left:

-(2Y+88)=0

We get rid of parentheses

-2Y-88=0

We move all terms containing Y to the left, all other terms to the right

-2Y=88

Y=88/-2

Y=-44

Answer:

its D

Step-by-step explanation:

I got this correct in schoology

Answer:

its the second option under the first one... which is more than likely C.

Step-by-step explanation:

Answer:

running speed is horse power

so up with horse

it will tell its power

go and denge it

so you will get your answer by this process

Answer:

x = 9/5 or 1.8

Step-by-step explanation:

Answer: Or 9/5 Have a great day :)

Step-by-step explanation:

-3x+18= 7x

18+= 10x

x= 18/10

x= 9/5

Answer:

[tex]y = \frac{-8}{3}x - 8[/tex]

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    [tex]y = mx + b[/tex]

We first have to find the slope of the line. This is found by using the formula :

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

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Let's use the slope formula

[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]

Slope = -8/3

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

[tex]y = \frac{-8}{3}x + b[/tex]

[tex]0 = \frac{-8}{3}(-3) + b[/tex]

[tex]0 = \frac{24}{3} + b[/tex]

[tex]0 = 8 + b[/tex]

[tex]b = -8[/tex]

Let's input our slope and y - intercept to the equation     [tex]y = mx + b[/tex]

Slope = -8/3

Y - Intercept = -8

Equation:    [tex]y = \frac{-8}{3}x - 8[/tex]

-Chetan K

Answer:

2

Step-by-step explanation:

so 10÷2=5 6÷2=3 3/5

that what u need?

Answer:

the answer would be 2      

Step-by-step explanation:

Answer:

1400

Step-by-step explanation:

2/5×1000=400

1000+400=1400

Step-by-step explanation:

Let the new quantity be x.

x:1000=2:5

x/1000=2/5

(multiply both side by 1000)

[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]

[tex]x = 400[/tex]

Answer:

none cuz Travis don't sell papers

Step-by-step explanation:

I'm kidding so 38 ÷ 2 = 19 so 38 + 19 or 19 × 3 = 57

Answer:

Step-by-step explanation:

If 3 is width and 2 is length 3 units right 1 unit up

If 2 is width and 3 is length 2 units right 3 units up

Answer:

Graphs shown below.

4.) x-intercept: (3,0)  y-intercept: (0,-2)  slope: 2/3

5.) x-intercept: none  y-intercept: (0,4.5)  slope:0

6.) x-intercept: (3,0) and (-1,0)  y-intercept: (0,-1)   slope: none

#4 is blue graph, #5 is green graph, #6 is red graph

Step-by-step explanation:

** #4 is blue graph, #5 is green graph, #6 is red graph **

Explanation:

This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is

long = short*sqrt(3)

We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse

hypotenuse = short*2

Answer:

50 cm²

Step-by-step explanation:

We know that PQRS is a paralleogram so we know that RS = PQ.

We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²

Answer:

$43.75

Step-by-step explanation:

125 x .35 = $43.75

Answer:

x=[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

1/2x - 5 = 10 - 3/4x

4x/2x - 5 × 4x = 10 × 4x - [tex]\frac{3 x 4x}{4x}[/tex]

2 -5 × 4x = 10 × 4 - 3

2 - 20x = 40x - 3

-20x - 40x = -3 - 2

-60x = -3 - 2

-60x = -5

x = [tex]\frac{-5}{-60}[/tex]

x = [tex]\frac{1}{12}[/tex]

Answer:

y=30

x=60

Step-by-step explanation:

The triangle has all sides equal therefore all the angles are equal.

For all the angles to be equal and add up to 180 (sum of angles in a triangle is 180), each angle has to be 60.

Therefore y=90-60

=30

x=180-(30+90)

=60

Answer:

350L 375ML

Step-by-step explanation:

Answer:

11/12 = 132

5/6 = 30

1/5 = 5

All of the numbers after the equal sign, are LCDs of the fraction.

Have a great day friend! :D

Answer:

60

Step-by-step explanation:

- BRAINLIEST ANSWERER

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

im not a genius at math, but i will give it a shot

scenario 3:

let m= cost per minute for WDE, let b= flat fee for WDE

42.5=50m+b

65=100m+b

subtract the two equations

65-42.5=50m

m= .45 (this is the cost per minute on WDE wireless)

plug in m=.45 into the first equation

42.5=50(.45)+b

b= 20 (this is the fixed monthly fee for WDE wireless)

HTR offers .25 per minute, whereas WDE offers .45 a minute which means that HTR has the cheaper per minute rate

htr has the equation .25x+30

WDE has the equation .45x+30

set them equal to each other and solve for x .25x+30=.45x+20

x= 50 minutes

Scenario 4:

Same deal as last question, let m=cost/movie, b=flat fee

41.25=5m+b

57.5=10m+b

subtract the two equations and solve for m

57.5-41.25=10m-5m+b-b

m= 3.25 (slope)

b=25  (y intercept)

y=3.25x+25

y=3.25(125)+25  = 431.25

3.25x+25=2.75x+35

.5x= 10

x= 20

Answer:

Step-by-step explanation:

[tex]\\ \sf\longmapsto 2^{-3}\times 3^{-2}[/tex]

[tex]\\ \sf\longmapsto( \dfrac{1}{2})^3\times( \dfrac{1}{3})^2[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{8}\times \dfrac{1}{9}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{72}[/tex]

Answer:

12/30

Step-by-step explanation:

Hope this helps man. Have a GREAT day.

Sincerly, lipor

A 12/30 fraction of the team is made up of boys.

A fraction is defined as part of a whole.

The total number of team members is 

12+18=30

The number of boys on the team is 12.

Hence, the fraction of boys o the team is 12/30. 

To learn more about fraction, use the link given below:

https://brainly.com/question/10354322

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