Which one is not a function? And why not ?

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).

Let y represent the total money in thousand dollar saved for x years.

Taking the points (0, -12) and  (20, 20).

The equation is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

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y < x

y < 2

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Explanation:

The horizontal line is y = 2 since all points on this line have a y coordinate of 2. Eg: (0,2) and (5,2)

Since we shade everything below this line, we're describing the inequality y < 2. All points in the shaded region for this describe anything with a y coordinate smaller than 2. Eg: (7,1)

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At the same time, we're also shading below the line y = x to form the inequality y < x.

So that's how we end up with this system

[tex]\begin{cases}y < x\\y < 2\\\end{cases}[/tex]

which describes the set of all points below the lines y = 2 and y = x. The dashed lines indicate that points on the boundary do not count as solution points. For example, (5,2) is not a solution because it rests on the upper horizontal boundary.

Answer:

a + b

Step-by-step explanation:

3(a+b)-2(a-b)​

=> 3a + 3b - 2a - 2b

=> a + b

Therefore, a + b is our answer

Answer:

a + 5b

Step-by-step explanation:

3(a + b) - 2(a - b) ← distribute both parenthesis

= 3a + 3b - 2a + 2b ← collect like terms

= a + 5b

Answer:

2/3, 3/4, 7/10, 11/17, 13/17

Step-by-step explanation:

Answer:

The selling price of one striped lanyard

Answer:

$400,000 and $600,000

Step-by-step explanation:

2x = one sister amount

3x = the other sister amount

Total money = $1,000,000

5x = 1,000,000

 x =  1,000,000/5

 x = 200,000

2x = 2(200,000)  = $400,000

3x = 3(200,000) = $600,000

Check:  one sister amount + the other sister amount = $1, 000,000

              $400,000 + $600,000 = $1,000,000

ratio 2:3=2+3=5

so the first sisters share is

(2/5×1,000,000)

=200,000×2

=400,000.....thats the first sisters share

so....the second sister's share is

(3/5×1,000,000)

=3×200,000

=600,000.....thats the second sisters share

and to check if your answer is correct

you can add both of their shares

600,000+400,000=1,000,000.

Answer:

f(x) = 16*(3/2)^(x-1)

Step-by-step explanation:

See attachment.

Answer:

B

Step-by-step explanation:

Answer:5868<9845<91387<969156

Step-by-step explanation:

Answer: 60 %

Step-by-step explanation:

Percentage of students passed the test = (number of students who passed the test / total number of students) x 100

                                                                     = 30 / 50 x 100 % = 60 %

Answer:

(3/4)pi

Step-by-step explanation:

Find the areas of the two circles and then subtract the smaller from the larger:

A of circle = (pi)r^2

Case 1:  r = 1 unit:  A = (pi)(1) = pi

Case 2:  r = 1/2 unit:  A = (pi)(1/2)^2 = pi/4

The area lying outside of the smaller circle is therefore (pi) - (pi)(1/4) = (3/4)pi

Answer:

4 minutes per lap

Step-by-step explanation:

20/5 is 4

Answer:

3x4=12

12 coins in her collection

Step-by-step explanation:

25x4=100%

Answer:

A. = 100.84 m

B. 571.384 cubic m

Step-by-step explanation:

a.

33.22+33.22+17.2+17.2 =100.84m

b.

33.22x17.2 = 571.384 m2

Answer:

Step-by-step explanation:

Answer:

slope: 5

y = 25

Step-by-step explanation:

slope is m, and m = 5, so slope is 5.

y-5=5(x+1)...........set up point slope form

y-5=5x+5............distribute 5

y=5x+10..............add 5 to both sides

y=5(3)+10............plug in 3

y=25.....................simplify

Step-by-step explanation:

I am not sure you posted the question correctly.

m is the slope already. this comes from the point slope form

y - y1 = m(x - x1)

where x1, y1 are the coordinates of a point on the line.

so, the slope is 5 (and cannot be <3).

so, using the first point we get

y - 5 = 5(x - -1) = 5(x + 1) = 5x + 5

therefore

y = 5x + 10

for (3, y) we put 3 in as x

y = 5×3 + 10 = 15 + 10 = 25

it is (3, 25) for m = 5.

Step-by-step explanation:

So we are given 2 coordinates.

so in a linear equation, we have the given function:

y=mx+b

thus we should have an x value and a y value.

So let's set x to be the hours and y be the cost

With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2

so with that being said,

7.75-5.5/7-4=m

2.25/3=m

.75=m

This is our slope.

Our formula will look like this: y=0.75x

Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked

y=0.75(3)

y=2.25

The cost to park for 3 hours will be $2.25

Hope This Helps :D

Answer:

9/100

Step-by-step explanation:

9×100 = 9/100 I think

Answer:

c. 60 mins

Step-by-step explanation:

12 * 5 = 60

15 * 4 = 60

Answer:

You can expand this with this rule:

[tex]a(b+c)=ab+ac[/tex]

Similarly,

[tex]\frac{1}{4}(4x+8) =\frac{1}{4}*4x+\frac{1}{4}*8[/tex]

[tex]\frac{1}{4}*4x+\frac{1}{4}*8=x+2[/tex]

Answer:

Step-by-step explanation:

Equation of the line

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto y=4x+4[/tex]

Answer:

10.658

hope it helps

Answer:

10.658

Step-by-step explanation:

14.6 = 100%

? = 73%

73% ÷ 100% x 14.6

= 10.658

10.658 = 73%

[tex]\red{\bold{Answer:}}[/tex]

z1 Multiplied by z1 = z(1 + 1) = z2

[tex]\color{skyblue}{\boxed{\tt{Final\:Answer}}}[/tex]

= (3•2³x3y2z²)

Answer:

[tex]p=\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]-3p+\frac{1}{8}=-\frac{1}{4}[/tex]

Subtract [tex]\frac{1}{8}[/tex] from both sides:

[tex]-3p=-\frac{1}{4}-\frac{1}{8}[/tex]

Multiply [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{2}[/tex] and simplify:

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

Divide both sides by -3:

[tex]p=\frac{3}{24}[/tex]

Simplify:

[tex]p=\frac{1}{8}[/tex]

Answer:

47

Step-by-step explanation:

First, we find angle 2. It is a supplementary angle with that 104 exterior so we take 180-104=76. Angle 2 is 76.

Now that we have two angles of the triangle, we can set up the equation:

76+57+x=180

we have 180 because all three angles of any triangle equal 180.

solving for x:

simplify the equation, (x)+(76+57)=180

combine like terms, x+133=180

Subtract 133,  180−133=47

x=47.

Answer:

B) x = 2

Step-by-step explanation:

1 + 1 = x

2 = x

1 + 1 = 2

Answer:

C

Step-by-step explanation:

C

Answer:

c

Step-by-step explanation:

c is the answer to this problem

Answer:

its multiplication 4 times 3 the product is 12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

n is a number. 4 less then that number translates to n-4, so the answer is B:

n-4=12

Hope that helps! :)

Answer:

C: n-4= 12

Step-by-step explanation:

To understand why this answer is correct, lets break down the sentence.

Revised Answer: n-4=12 is actually the answer as n can be any quantity, and n -4 =12 literally means n + (-4) = 12.