Solve the system by graphing.
y=-3x + 3
y= 1/2x-4

Answer:

a rational number

Step-by-step explanation:

1) First, find the sum of [tex]\frac{4}{7} +\frac{-1}{3}[/tex]:

[tex]\frac{4}{7} + \frac{-1}{3} \\= \frac{12}{21} - \frac{7}{21} \\= \frac{5}{21}[/tex]

2) Any number that can be written as a fraction is a rational number. Therefore, the sum, [tex]\frac{5}{21}[/tex], is rational.

Answer:

B

Step-by-step explanation:

Don't worry I just know, give me Brainliest

Answer:

The average rate of change from 7 to 60 minutes is 0.36 miles per minute.

Step-by-step explanation:

at x₁ = 7, f(x₁) = 8

at x₂ = 60,  f(x₂) = 27

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                     = [27 - 8] / [60-7]  

                     = 19 / 53

                     = 0.36

Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.

Answer:

The gradient of line perpendicular to AB is: m = [tex]\frac{1}{2}[/tex]

The equation of line passing through point A and perpendicular to AB is [tex]\mathbf{y=\frac{1}{2}x+6}[/tex]

Step-by-step explanation:

The line on the graph passes through the points A (0,6) and B (3,0)

b) Find the gradient of a line perpendicular to AB

First we will find gradient (slope) of AB

The formula used to find Slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=0, y_1=6, x_2=3, y_2=0[/tex]

Putting values and finding slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-6}{3-0}\\Slope=\frac{-6}{3}\\Slope=-2[/tex]

So, we get slope: m = -2

Now, the gradient of line perpendicular to AB will be opposite to the slope of AB

The gradient of line perpendicular to AB is: m = [tex]\frac{1}{2}[/tex]

c) Find the equation of line passing through point A and perpendicular to AB

The equation of line can be found using slope m = [tex]\frac{1}{2}[/tex] and y-intercept b

We need to find y-intercept b:

Using slope m = [tex]\frac{1}{2}[/tex]  and point A (0,6)

y=mx+b

6= [tex]\frac{1}{2}[/tex] (0)+b

6=0+b

b=6

So, y-intercept is b =6

So, Equation of line with slope m = [tex]\frac{1}{2}[/tex]  and y-intercept b =6 is:

[tex]y=mx+b\\y=\frac{1}{2}x+6[/tex]

So, The equation of line passing through point A and perpendicular to AB is [tex]\mathbf{y=\frac{1}{2}x+6}[/tex]

Answer:

C=85+2x

Step-by-step explanation:

c=85+2(3)     --   $91

c=85+2(4)     --   $93

c=85+2(5)     --   $95

c=85+2(6)     --   $97

Step-by-step explanation:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45 . ... The multiples of numbers calculator will find 100 multiples of a positive ... Here is a list of the first 20 multiples of the integers 1 through 20.

Step-by-step explanation:

Answer: I can only solve #3 The asnwer is -1.65x

Step-by-step explanation:

Multiplying a positive and a negative equals a negative

(+)x(-)=(-)

-X x 5.5 x 0.2 x 1.5.   <---- Calculate the product

and you will get -1.65x

9514 1404 393

Answer:

Step-by-step explanation:

The equation of the given line is written in "slope-intercept form":

  y = mx + b . . . . . . where m is the slope

Matching this form to the equation you have, you see that ...

  m = 5 . . . the slope of your given line.

__

A parallel line will have the same slope: 5.

__

A perpendicular line will have a slope that is the opposite reciprocal of this. The reciprocal of 5 is 1/5. The opposite of that is -1/5.

A perpendicular line will have a slope of -1/5.

Answer:

x is in the top left of the triangle :)

Step-by-step explanation:

Answer:

its there....

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

y = {3/4} x + 1.5

The slope of the line passing through the points (-2, 0) and (2, 3) is 3/4.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

∴ Slope of the line with points (-2, 0) and (2, 3) is,

Slope(m) = (3 - 0)/(2 + 2) = 3/4.

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Answer:

No correlation

Step-by-step explanation:

There's no discernible trend in the data.

Answer:

x= -1

Step-by-step explanation:

5x1 would be -5 then -5 - 2 would be -7

Answer:

x = -1

Step-by-step explanation:

The key thing to remember is that every operation you do on either side needs to be done on the other.

Let's start by getting rid of that -2  you can do that by adding 2 to both sides of the equals sign:

5x - 2 = -7

5x - 2 + 2 = -7 + 2

5x - 0 = -5

5x = -5

The next step is to get rid of that 5 on the left.  We can do that by dividing both sides by 5:

5x = -5

5x ÷ 5 = -5 ÷ 5

x = -1

And there you have it! x is equal to negative one.

Hey again!

The answer to your question is 98 feet squared

First, we find the new dimensions:

7 x 2 = 14

3.5 x 2 = 7

Area = length x width, so 14 x 7 = 98

Hope it helps!

Hey there!

The answer to your question is z > -4

We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.

-2z - 3 < 5           add 3 to both sides

     -2z < 8          divide both sides by -2, and flip the inequality sign

         z > -4      

Good luck! Hope it helps, and have a great day!

Answer:

The answer  is z > -4

but a line down were is the (>)

I ready!

holpe it help

Answer: 1/4-(2/3+1/2)

Step-1/4-by-step explanation:

Answer:

Step-by-step explanation:

First we start off by rounding that number to the nearest ten, not tenTH. This rounding would lead to 180$. Now comes the percent part. Here i use the percent equation, which is ____ is ____% of _____. our percent is 10%, and our whole goes at the end, 180$. The part( or the tax), becomes x, and now we translate. Is means = and of means times. so x=.10(180), and x will equal 18

so the tip will be around 18 dollars

hope it helped

Answer:

Solve for x over the real numbers:

abs(x) = 3

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

Answer: x = 3 or x = -3

Step-by-step explanation:

Answer:

A' (-6, 4)

B' (2, 2)

C' (-2, -2)

Step-by-step explanation:

Multiply each number by 2.

Step-by-step explanation:

the given height is also the radius of the inscribed circle and the formula for the area is S=2r^2*sqrt(5*(5-2sqrt5))=490*tan18 which roughly rounds to 156.8

Answer:

Step-by-step explanation:

A= - 101

B = 4( r + 4x - 2 )

C = x < 5/3

I hope this helps. Best of luck.

Answer:

A) Plumber B charges 55 dollars per hour (105=50+55(1)) because for 1 hour the total is 105, meaning that 105 is y and 1 is x. 50+55=105

B) Plumber A charges more because he charges 100 dollars vs Plumber B's 50 dollars.

C) Plumber A:  250=100+30(5)       Plumber B:  325=50+55(5)

Plumber A charges less money for working 5 hours.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that,

Two plumbers charge an initial fee and an hourly rate.

The equation y=100+30x -----(I) models plumber A's fee, where y is the total charge, in dollars, and x is the number of hours worked.

Part A:

From the table, we have (1, 105) and (2, 160)

Now, m=(160-105)/(2-1)

= 55

Substitute m=55 and (x, y)=(1, 105) in y=mx+c, we get

105=55(1)+c

c=60

Substitute m=55 and c=60 in y=mx+c, we get

y=55x+60 -----(II)

By comparing (I) and (II), we can conclude that plumber B charges more hourly fee.

Part B: By comparing (I) and (II), we can conclude that plumber A charges more initial fee.

Part C: Substitute x=5 in y=100+30x, we get

y=$250

Substitute x=5 in y=55(5)+60, we get

y=$335

Plumber A charges less money for working 5 hours.

Therefore, plumber A charges more initial fee.

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Answer:

he donated 1/6 of the total land to charity

Step-by-step explanation:

1/2 went to daughter

1/3 went to daughter

combined, this equals 5/6 of the total land

this leaves 1/6 to be donated

Answer:

10 cents

Step-by-step explanation:

Answer:

$0.25 for each egg

$2.5 for each pound of peanuts

$0.5 for each toilet paper roll

$0.35 for each apple

Step-by-step explanation:

3/12=.25

7.50/3=2.5

2/4=.5

3.5/10=.35

answer

Answer:

here you go

Step-by-step explanation:

-5x+2

Answer:

104 = 10 × 10 × 10 × 10 = 10,000

Step-by-step explanation:

In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"

Answer:

the answer is 1 and 1 fourth