Use the following picture to answer the questions.

Answer:

y ≥ x - 2, and x + 2y < 4 ; Option C

Step-by-step explanation:

Consider the y - intercept and slope of 1 of these given lines,

[tex]y - intercept = ( 0, - 2 ) / - 2\\slope = 1 / 1 = 1[/tex]

From this we can formulate the equation of 1 line;

[tex]Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = 1, b = - 2,\\Equation of Line 1 - y = x - 2[/tex]

Now consider the y - intercept and slope of the remaining line;

[tex]y - intercept = ( 0, 2 ) / 2\\slope = 1 / - 2 = - \frac{ 1 }{ 2 }[/tex]

This creates a line with the equation as such;

[tex]Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = - 1 / 2, b = 2,\\Equation of Line 1 - y = - \frac{ 1 }{ 2 } x + 2, x + 2y = 4[/tex]

From this we see that the solution of the system is such;

Solution ; y ≥ x - 2, and x + 2y < 4 ; Option C

Answer:

see below

Step-by-step explanation:

10x +8 = 3(x-2)

Distribute

10x +8 = 3x-6

Subtract 3x from each side

10x+8-3x = 3x-6-3x

7x +8 = -6

Subtract 8 from each side

7x+8-8 = -6-8

7x = -14

Divide each side by 7

7x/7 = -14/7

x = -2

Answer:

10x + 8 = 3x - 6, 7x = -14

Step-by-step explanation:

10x + 8 = 3 ( x - 2 ) = 10x + 8 = 3x - 6

subtract 8 from both sides of the equation: 10x + 8 = 3x - 6

10x + 8 - 8 = 3x - 6 - 8

simplify

10x = 3x - 14

subtract 3x from both sides

10x - 3x = 3x - 14 - 3x

simplify

7x =  -14

divide both sides by 2

7x / 2 = -14 / 2

simplify

x = -2

Answer:

The volume of a triangular prism can be found by multiplying the base times the height. Both of the pictures of the Triangular prisms below illustrate the same formula. The formula, in general, is the area of the base (the red triangle in the picture on the left) times the height,h.

Step-by-step explanation:

hope that make sense, i tried to find something that explained

Step-by-step explanation:

Surface area is found by adding up all the areas of the different figures. When there are multiple figures of the same dimensions, you can just multiply them by the number of their amount.

The areas you'll be using for the triangular prism are:

[tex]a = \frac{1}{2} bh[/tex]

and

[tex]a = lw[/tex]

since there are both rectangles and triangles in this figure.

Using the prism, then, it's time to make a formula.

[tex]2( \frac{1}{2} bh) + 2(lw) + lw[/tex]

I put a 2 in front of the triangle's area because there are 2 triangles in this prism.

There's a 2 in front of the side of the triangle's area (it's a rectangle) because it has two sides.

That last lw doesn't have a number on it because it's for the base, and this prism only has one base.

Now, use the dimensions that are given to you to substitute.

[tex]2( \frac{1}{2} )(14)(24) + 2(10)(25) + (10)(14) \\ 336 + 500 + 140 \\ 836 + 140 \\ 976[/tex]

So, 976cm^2 is your area.

Answer:

[tex]976 {cm}^{2} [/tex]

Answer:

3.

Step-by-step explanation:

3m^2-3n^2= 3(m^2-n^2) = 3 (m+n)(m-n)

6m-6n= 6 (m-n)

3(m+n)~(m-n)~/6~(m-n)~ = (m+n)/2

Answer:

C

Step-by-step explanation:

Vertical asymptotes= -2,1

Answer:

103.5

Step-by-step explanation:

Answer:

103.5

Step-by-step explanation:

Answer:

0.000543

Step-by-step explanation:

since the exponent is -4, you have to move the decimal 4 places to the right to get 0.000543

Answer:

25%

Step-by-step explanation:

X=(18.75*100)/75

Answer:

80°

Step-by-step explanation:

The angles can be written as 4x, 6x, and 8x. Since the sum of angles in a triangle is 180 degrees we can write:

4x + 6x + 8x = 180

18x = 180

x = 10 which means the largest angle (8x) = 8 * 10 = 80°

Answer:

3/4x = 4 2/4

Step-by-step explanation:

x=6 so you can fill 6 bags

Answer:

36 b^2 = 36 bb

Step-by-step explanation:

(6b)^2

This means multiply what is inside the parentheses by itself

(6b) * 6b

36 b^2

36 b*b

Answer:

x=66

Step-by-step explanation:

118+106+70+x=360     The total sum of degrees in a quadrilateral is 360.

294+x=360                  Add the given angle measures together.

x=66                             Subtract 294 from both sides.

Answer:

36.47

Step-by-step explanation:

3x9.99=29.97

5x1.29=6.45

29.97+6.45=36.47

Answer:

36,42

Step-by-step explanation:

3 x 9,99 = 29,97

5 x 1,29 = 6, 45

29,95 + 6,45 = 36,42

Answer:

Step-by-step explanation:

the temperatures ordered from least to greatest

52, 53, 54, 54, 57, 62, 64, 69, 73, 73, 77, 78

the min is 52

the max is 78

median:

52, 53, 54, 54, 57, 62, 64, 69, 73, 73, 77, 78

(62+64)/2=126/2=63

thus the median is 63

now we don't include the median in finding the upper and lower quartile medians:

lower quartile median:

52, 53, 54, 54, 57, 62

54 (same #s no need to add up and divide by 2)

upper quartile median:

64, 69, 73, 73, 77, 78

73 (same #s no need to add up and divide by 2)

interquartile range is:

upper quartile median-lower quartile median:

73-54

19

Answer:

y = x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = 1 and b = - 12 , thus

y = x - 12 ← equation of line

Answer:

Option A.

Step-by-step explanation:

If a system of equations has two equations and the graph of both equations intersect at point, then the intersection point is the solution of the system of equations.

The given equations are

[tex]x+9y=5[/tex]

[tex]4x+15y=-1[/tex]

It is given that the graph of both lines intersect each other at point (-4,1).

It means, (-4,1) is a solution to the system of linear equations.

Therefore, the correct option is A.

Answer:

a

Step-by-step explanation:

Answer:

x > -1  (Answer D)

Step-by-step explanation:

Note that x^2 + 2x + 1 > 0 is equivalent to (x + 1)^2 > 0.  This has two solutions:  {-1, -1} (two real, equal roots).  The solution set includes all real numbers such that x > -1  (Answer D)

Answer:

2 and 3 is the correct one

Im not really sure how to explain it but the number at the top of the ‘stem’ side has to be the smallest number and the bottom one is the biggest.

You then have to write out the numbers in the ‘leaf’ side by only putting one digit numbers in order from smallest to biggest.

Answer:

Step-by-step explanation:

Answer:

Because both result in the equation 8x = 400 which simplifies to 50.

Step-by-step explanation:

If you cross multiply both of the pairs, you will get 8x = 400.

divide 400 by 8 to simplify and you get 50

Answer:

It would be B.

Step-by-step explanation:

Answer:

[tex]4\sqrt{5} +2\sqrt{5}\\= 6\sqrt{5}[/tex]

Step-by-step explanation:

Answer: The following above is correct

Step-by-step explanation: C

Answer:

B

Step-by-step explanation:

The right answer is 12x^2+18x+6

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] \boxed{12 {x}^{2} + 18x + 6} [/tex]

Step-by-step explanation:

[tex] = > (4x + 2)(3x + 3) \\ \\ = > 4x(3x + 3) + 2(3x + 3) \\ \\ = > (4x \times 3x) + (4x \times 3) + (2 \times 3x) + (2 \times 3) \\ \\ = > 12 {x}^{2} + 12x + 6x + 6 \\ \\ = > 12 {x}^{2} + 18x + 6[/tex]

Answer:

69.5 = c

Step-by-step explanation:

35 ^2 + 60 ^2 = c^2

1225 + 3600 = c ^2

[tex]\sqrt{4825}[/tex] = [tex]\sqrt{c^{2} }[/tex]

69.5 = c

Answer:

5/3

Step-by-step explanation:

Answer:

It is C for sure

Step-by-step explanation:

Answer:

152

Step-by-step explanation:

f(x) =19x2 +152

f(0) = 190(0)^2 + 152

     = 152