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svlad2 [7]
3 years ago
14

Use the drawing tool(s) to form the correct answer on the provided graph.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Setting x=0, you can find the y-intercept:

  y = 4

Setting y = 0, you can find the x-intercept:

  2x = 4

  x = 2

The boundary line can be drawn through these intercept points, (0,4) and (2,0). Because the "equal to" case is not included, the boundary line will be dashed.

The y variable is on the open side of the comparison symbol (y>), so the shading is above the boundary line. That is where y-values are greater than those on the line.

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How do you solve 3 3/4a+3+6=87 in multi step equations
Dovator [93]
If you would like to solve the equation 3 3/4 * a + 3 + 6 = 87, you can do it using the following steps:

3 3/4 * a + 3 + 6 = 87
15/4 * a = 87 - 3 - 6
15/4 * a = 78    /*4/15
a = 78 * 4/15
a = 104/5
a = 20.8

The correct result is 20.8.
3 0
4 years ago
PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!
guajiro [1.7K]

Answer:

4r + 4(r + 3) = 68

r = 7 miles per hour

r + 3 = 10 miles per hour

Step-by-step explanation:

distance = rate * time

a)

4r + 4(r + 3) = 68

Distribute

4r + 4r + 12 = 68

8r + 12 = 68

8r = 56

r = 7 miles per hour

r + 3 = 10 miles per hour

3 0
3 years ago
Alecia builds a box in the shape of a cube with an open top. She plans to paint the box. Alecia calculates that there are 256 sq
STALIN [3.7K]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the options to select the required condition from were not listed. So, I will answer on general terms

From the question, we understand that the cube has an open-top and the surface ares is 256 in^2

Let L represents the edge length, the surface area (S) is:

S = 5L^2

Substitute 256 for S

256 = 5L^2

Divide both sides by 5

51.2 = L^2

Take square roots of both sides:

\sqrt{51.2} = L

7.155= L

L=7.16in ---- approximated

The volume of the cube is:

Volume = L^3

Volume = \sqrt{51.2}^3

Volume = 366.3573

Volume = 366.36in^3

<em>So, the edge length of the cube is 7.16 inches and the volume is 366.36 cubic inches</em>

<em />

6 0
3 years ago
Read 2 more answers
The sum of the squares of 2 consecutive negative integers is 41. What are the numbers? Which of the following equations is the r
VARVARA [1.3K]
Answer:
The two numbers are -5 and -4

Explanation:
Assume that the first number is x and that the second number is x+1.
We know that the sum of their squares is 41. This means that:
x² + (x+1)² = 41

We will expand the brackets and factorize to get the value of x as follows:
x² + (x+1)² = 41
x² + x² + 2x + 1 = 41
2x² + 2x + 1 - 41 = 0
2x² + 2x - 40 = 0
We can divide all terms by 2 to simplify the equation:
x² + x - 20 = 0 ..........> equation required in part II

Now, we can factorize this equation to get the values of x:
x² + x - 20 = 0
(x-4)(x+5) = 0
either x = 4 .........> rejected because we know that x should be negative
or x = -5 ...........> accepted

Based on the above calculations, the two numbers are -5 and -4

Hope this helps :)

8 0
3 years ago
Read 2 more answers
3) 2x² + 7x - 30<br><br> AC method
Vinvika [58]

Hello

a=2, b=7, c= -30

ac=-60

-60= 12*(-5)

We can see that 12*(-5)=ac and 12-5=b=7

So

2x^2+7x-30=2x&2+12x-5x-30=2x(x+6)-5(x+6)=(x+6)(2x-5)

Thanks

6 0
3 years ago
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