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Solnce55 [7]
3 years ago
12

-2x + 9x What is the answer

Mathematics
2 answers:
Verdich [7]3 years ago
8 0

Answer: +7x

Step-by-step explanation: Since both terms contain an <em>x</em>, you can add them together by simply adding their coefficients. Coefficients are just your number in front of your variables. So if -2 + 9 = +7, -2x + 9x = +7x.

Blababa [14]3 years ago
7 0

Answer: 7x

<u>Remove "x" and add</u>

-2 + 9 = 7

<u>Add "x" back</u>

7 -----> 7x

Note: When adding/subtracting problems like these remove "x" and then add/subtract normaly. When you get your answer put x back.

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aleksklad [387]
<h3><em>1) 0.7</em></h3><h3><em>2) 0.42</em></h3><h3><em>3) 0.25</em></h3><h3><em>4) 0.375</em></h3><h3><em>5) 0.33</em></h3><h3><em>6) 0.071</em></h3><h3><em>7) 0.775</em></h3><h3><em>8) 0.775</em></h3><h3><em>9) 0.682</em></h3><h3><em>10) 0.791</em></h3><h3><em>HOPE IT HELPS !!!</em></h3>

7 0
3 years ago
Can someone please help me in one of these!?
Anarel [89]

Answer:

9) y = -200x + 1200

11) slope = -2

15) $2,450

16) 9 days

Step-by-step explanation:

9) Given the two points from the graph:

Let (x₁, y₁) = (0, 1200)

(x₂, y₂) =  (1, 1000)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1000 - 1200)/(1 - 0)

m = -200/1

m = -200

The slope of the line is -200.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it shows that the line crosses at point (0, 1200). The y-coordinate of this ordered pair is the value of the y-intercept, b = 1200.

Therefore, the linear equation in slope-intercept form is y = -200x + 1200.

<h3>11) Given the points, (5, -18) and (-4, 0): </h3>

Let (x₁, y₁) =(5, -18)

(x₂, y₂) =  (-4, 0)

Substitute these values into the following <u>slope formula</u>:

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{0 - (-18)}{-4 - 5} = \frac{0 + 18}{-9} = -2

Therefore, the slope of the line is -2.

<h3>15) Solve:</h3>

Given the fixed fee of $200, and the $150 per hour after the initial meeting:

We can represent these in slope-intercept form:

y = 150x + 200

y = total cost for the Attorney's services

x = number of hours worked.

The y-intercept in this given problem is $200, which represents the flat fee charged for the initial meeting. While the slope in this equation is $150, which is the hourly rate that an Attorney charges his clients after the initial meeting.

If an Attorney works for 15 hours, then:

Let x = 15, and substitute its value into the equation to find the total cost:

y = 150x + 200

y = 150(15) + 200

y = 2,250 + 200

y = 2,450

Therefore, a client will pay a total of $2,450 for an Attorney's 15 hours of work.

<h3>16) Solve: </h3>

Given the water level on a Lake of 165 inches after a rainstorm, and the water level's receding rate of 3 inches per day:

We can establish the following linear equation to model this given problem:

L = -3d + 165

Where:

L = represents the water level of the Lake

d = number of days that the water level recedes

In order to find the number of days it will take before the water level recedes to 84 inches:

Substitute the value of L = 84 into the equation:

L = -3d + 165

84 = -3d + 165

Subtract 165 from both sides:

84 - 165 = 3d + 165 - 165

-27 = -3d

Divide both sides by  -3:

\frac{-27}{-3} = \frac{-3d}{-3}

9 = d

Therefore, it will take 9 days for the water level to be at 84 inches.

7 0
3 years ago
16 homework papers to grade and 14 exit tickets what's the ratio
schepotkina [342]
The ratio would be 16:14 and then simplify it to 8:7
3 0
3 years ago
In an arithmetic sequence, = 5 and = 11.
Free_Kalibri [48]

Answer:

1134.62 (THE SUM OF 20 TERMS)

Step-by-step explanation:

First we write out our given information:

a8=2a2

a11=18

an is an arithmetic sequence.

Where here an means the nth term of our sequence.

What does an arithmetic sequence mean? It means to get to the next term in your sequence you add a constant (c) each time:

an+1=an+c

Equivalently:

an+1−an(n+1)−n=c

So an is of slope c (c2 is another constant):

an=cn+c2

Where here c2=a0 (Substitute in n=0 and see why that has to be the case if we let a0 exist)

Now we use the other given information to try to come up with a solution.

Let n=2:

a2=2c+c2

Let n=8, using the above equation we have:

a8=8c+c2=2a2=4c+2c2

Let n=11

a11=18

a11=11c+c2

But a11−a8=(11c+c2)−(8c+c2)=3c

Hence, a11=3c+a8

a11=3c+4c+2c2=18

a11=3c+8c+c2=18

5 0
2 years ago
There are 6 rectangular flower gardens each measuring 18 feet by 17 feet in a rectangular city park measuring 80 feet by 160 fee
Aneli [31]

The area which is not in used for the flower gardens is 10964 sq ft.

Step-by-step explanation:

Given,

Length (l) of the rectangular park = 160 ft

Width (b) of the rectangular park = 80 ft

Length (l) of each rectangular flower garden = 18 ft

Width (b) of each rectangular flower garden = 17 ft

To find the area which is not in used.

Formula

The area of rectangle = l×b

Now,

The area of the rectangular park = 160×80 sq ft = 12800 sq ft

The area of each rectangular flower garden = 18×17 sq ft = 306 sq ft

The area of 6 rectangular flower garden =  306×6 sq ft = 1836 sq ft

So,

The area which is not in used = 12800-1836 sq ft = 10964 sq ft.

4 0
3 years ago
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