Question in image. :)

Answer:

We have the system:

3y>2x+12

2x+y≤-5

The first step will be to write the inequalities as lines:

y  > (2x + 12)/3

y ≤ -5  - 2 x

Now that the equations are written in slope-intercept form, we just need to draw the lines.

In the first case, we have the symbol ">", which means that the line will be a dashed line, and the shaded area will be above that line.

In the second equation we have the symbol "≤", this means that the line will be a solid line, and the shaded area will be below that line.

The graph of both inequalities is shown below. Where the solution to the system is the double shaded area.

Answer:

Thanks to Facundo doing all the work, all I did was plug in the numbers on a graphing calculator.  

Step-by-step explanation:

Using the graphing calculator, "y>(2x+12)/3" has points at (-6,0) and (0, 4) and isn't shaded because there isn't a line under the greater than/less than sign.

Using the graphing calculator again, we plug in the inequality "y≤-5-2x". This has points at (-5, 0) and (0, -5) and is shaded because there is a line under the greater than/less than sign. A picture of this is attached.

Again, thank you Facundo. Refer to his explanation to find out how to make the inequalities lines.

Please rate this to give me feedback if this kind of format is good for answering questions.

Given:

A line passes through the point (-6,2) and has a slope of [tex]-\dfrac{3}{2}[/tex].

To find:

The equation of line.

Solution:

If a line passes though a point [tex](x_1,y_1)[/tex] and has a slope m, then the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,2) and has a slope of [tex]-\dfrac{3}{2}[/tex]. So, the equation of line is

[tex]y-2=-\dfrac{3}{2}(x-(-6))[/tex]

[tex]y-2=-\dfrac{3}{2}(x+6)[/tex]

[tex]y-2=-\dfrac{3}{2}(x)-\dfrac{3}{2}(6)[/tex]

[tex]y-2=-\dfrac{3}{2}(x)-9[/tex]

Add 2 on both sides.

[tex]y=-\dfrac{3}{2}(x)-9+2[/tex]

[tex]y=-\dfrac{3}{2}x-7[/tex]

Therefore, the equation of line is [tex]y=-\dfrac{3}{2}x-7[/tex].

Answer:

x+y=10

+-y=2

Step-by-step explanation:

Use elimination to cancel out the y then continue to solve

The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."

We have,

Nemo could have written the following two correct variable expressions to represent the phrase "the product of a number and 7":

= 7x

In both expressions, "x" represents the unknown number, and the product of "x" and 7 is obtained by either multiplying "x" by 7 (7x) or by multiplying 7 by "x" (x * 7).

Both expressions are equivalent and correctly represent "the product of a number and 7."

Thus,

The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."

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The meaning of the quotient −936 in terms of Cassie's situation is that the total the total bill is 5616

It should be noted that Cassie states that −936 is equivalent to −936. This is correct.

It should be noted that it was stated that Cassie is having a party at a restaurant with 5 of her friends and the group's total bill, in dollars, can be represented as the integer -936.

Therefore, it should be noted that the total bill will be:

= 936 × 6

= 5616

It should be noted that Cassie states that −936 is equivalent to −936. This is correct

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5x - 7 = 19

Add 7 to both sides:

5x = 26

Divide both sides by 5:

x = 26/5

[tex]5x - 7 = 19[/tex]

Move -7 to another side and become + 7. Whenever we move to another side, we change the sign/operator to opposite. Ergo, changing from plus to minus and multiply to divide.

[tex]5x = 19 + 7 \\ 5x = 26[/tex]

We are at this part. Now to move 5 which is multiplying the x. So we move 5 from multiply to divide 26.

[tex]x = \frac{26}{5} [/tex]

Ergo, the answer is x = 26/5

Answer:

-8

Step-by-step explanation:

 Exponentiation: (-2) ^ 99 = -6.3382530011411×1029

Multiple: -3 * the result of step No. 1 = -3 * (-6.3382530011411×1029 ) = 1.9014759003423×1030

Exponentiation: (-2) ^ 99 = -6.3382530011411×1029

Multiple: -4 * the result of step No. 3 = -4 * (-6.3382530011411×1029 ) = 2.5353012004565×1030

Subtract: the result of step No. 2 - the result of step No. 4 = 1.9014759003423×1030 - 2.5353012004565×1030 = 1.9014759003423×1030 - (2.5353012004565×1030 ) = -6.3382530011411×1029

Exponentiation: 2 ^ 96 = 7.9228162514264×1028

Divide: the result of step No. 5 / the result of step No. 6 = -6.3382530011411×1029 / 7.9228162514264×1028 = The answer -8

please mark me braliny

Answer: -2

Step-by-step explanation:

f(x) = 2x + 3, g(x) = 3x + 1

(f • g)(-1)=

f(-1)*g(-1)=

(2(-1)+3)*(3(-1)+1)=

(-2+3)(-3+1)=

1*(-2)=-2

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

means it is your as u know u are a ashile

Answer:

3/4

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

distance formula= radical[(x_2 - x_1)^2 + (y_2 - y_1)^2]

= radical[(1-5)^2 + (6-9)^2]

= radical(16+9)

= radical(25)

= 5

Answer:

3/4

Step-by-step explanation:

reducing 6/8 would be 3/4, and if a and b = 0, then anything multiplied by 0 would be nothing so there wouldn't be and variables

Answer:

the answer is C

Step-by-step explanation:

edge

Answer:

y < 3x + 5: No

y = 3x + 5: No

y > 3x + 5: Yes

Step-by-step explanation:

You can just put the value of x which is (-2) into each equation to see if the y value would be 4.

y < 3x + 5

y < 3(-2) + 5

y < -6 + 5

4 < -1 (This equation is wrong, so the point does not satisfy this equation)

y = 3x + 5

y = 3(-2) + 5

y = -6 + 5

4 = -1 (This equation is wrong, so the point does not satisfy this equation)

y > 3x + 5

y > 3(-2) + 5

y > -6 + 5

4 > -1 (This equation is correct, so the point does satisfy the equation)

Answer:

12.8840987267

Step-by-step explanation:

Answer:

[tex]\sqrt{166}[/tex] = 12.8

Step-by-step explanation:

Answer:

dzxfchgjvhkbjl

Step-by-step explanation:

Answer:

$2304.5

Step-by-step explanation:

The balance after 8years=P(1+R/100)^t

=1000(1+11/100)^8

=$2304.5

To represent the solution set of a linear equation parametrically, we introduce other parameters like s and t for the free variables.

Every linear equation has n - 1 free variables where n is the number of variables.

For x + y + z = 2, we have 3 variables and 3 - 1 = 2 free variables.

First, let y and z be the free variables, we first solve the linear equation for x to get:

x = 2 - y - z

Therefore , the parametric representation of the solution set is given by :

x = 2 - s -t

y = s

z = t

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Answer:

[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(x-2\right)\left(x-m\right)=x^2-bx+60[/tex]

switch sides

[tex]x^2-bx+60=\left(x-2\right)\left(x-m\right)[/tex]

subtract x² from both sides

[tex]x^2-bx+60-x^2=\left(x-2\right)\left(x-m\right)-x^2[/tex]

simplify

[tex]-bx+60=-mx-2x+2m[/tex]

subtract 60 from both sides

[tex]-bx+60-60=-mx-2x+2m-60[/tex]

simplify

[tex]-bx=-mx-2x+2m-60[/tex]

subtract x from both sides;  x≠0

[tex]\frac{-bx}{-x}=-\frac{mx}{-x}-\frac{2x}{-x}+\frac{2m}{-x}-\frac{60}{-x};\quad \:x\ne \:0[/tex]

simplify

[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]

Thus,

[tex]b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0[/tex]

Answer:

y - 6 = - 3(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b) = (- 1, 6) , then

y - 6 = - 3(x - (- 1) ) , that is

y - 6 = - 3(x + 1)

Answer:

your answer would be y - 6 = - 3(x + 1)

Step-by-step explanation:

hopes this helps!:)

Answer:

The equation in slope-intercept form will be:

Step-by-step explanation:

Given

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

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

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

substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'

y = mx+b

4 = -2(5) + b

4 = -10 + b

b = 4+10

b = 14

now substituting m = -2 and b = 14  in the slope-intercept form to get the equation in slope-intercept

y = mx+b

y = -2x + 14

Therefore, the equation in slope-intercept form will be:

Step-by-step explanation:

Answer: 38.69

Step-by-step explanation:

Just do 25.64 + 13.05

Answer: 38.69

Step-by-step explanation:

Answer:

Figure 1: A , D

Figure 2: B, E

Figure 3: C, F

Hope that helps!

Answer:

1 foot away from motion detector

Step-by-step explanation:

Given that:

Initial Position = 5 feets away from detector

Distance moved away = 0.5ft/sec for 4 seconds ; distance moved away = 0.5 * 4 = 2 feets

Total distance away = 5 feets + 2 feets = 7 feets

Distance moved towards motion detector :

-2 ft/sec for 3 seconds ;

Distance = speed * time

Distance moved = (-2ft/sec * 3) = - 6 feets

Hence, distance in feets from motion detector :

7 feets - 6feets = 1 feet away from motion detector

Answer:

72%

Step-by-step explanation:

90% of 80 is 72.

Therefor, 90% of 80% is 72%

Answer:

OWO

Step-by-step explanation:

ADD Divide

Answer:

D. 60/10

Step-by-step explanation: