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Dvinal [7]
3 years ago
8

The graph represents function 1, and the equation represents function 2:

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Function 1 is the graph of a horizontal line. And the rate of change of a horizontal line is always 0 because there's is no change of y's.

So, rate of change of function 1= 0.

Slope intercept form of a line is y=mx+b where m= rate of change and b= -intercept.

By comparing the given function 2: y= 8x+12 with y=mx+b we will get m= 8.

So, rate of change of function 2= 8

Difference of rate of change of function 2 with 1 = 8-0= 8

So, the rate of change of function 2 is 8 more than the rate of change of function 1.

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(8x+5)+(4x-3) what is that equal to
Anna [14]

Answer:

12x + 2

Step-by-step explanation:

To find what the expression equals, you can collect like terms. This means to do the operations (add or subtract) the numbers that have the same variables.

(8x + 5) + (4x - 3)        Remove brackets to add a binomial (2-term brackets)

= 8x + 5 + 4x - 3        Collect like terms

= 8x + 4x + 5 - 3        I rearranged so you can see which terms are alike

= 12x + 5 - 3        Collected like terms with "x" (8x + 4x = 12x)

= 12x + 2        Collected like terms with no variables (5 - 3 = 2)

Therefore (8x + 5) + (4x - 3) is equal to 12x + 2.

If you want, you can also find another equal expression by factoring. Since "12x" and "2" are both divisible by the factor 2, you can <em>take it out</em> and put the other numbers in a bracket.

12x + 2

= 2(12x/2 + 2/2)

= 2(6x + 1)        This is equal, but in factored form.

6 0
3 years ago
Read 2 more answers
Can someone please help me with these 3 math questions? <br> ASAP!
Daniel [21]
I only see one question.
The answer is the root 4 has the multiplicity of 2.
7 0
3 years ago
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=14
liraira [26]

Answer:

4x - y = -5

Step-by-step explanation:

The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).

4x - y = 14     becomes     4x - y =  C

Now substitutte -2 for x, -3 for y and calculate C:

4(-2) - (-3) = C, or

-8 + 3 = C = - 5

Thus, the new equation is 4x - y = -5

5 0
3 years ago
3(x-4)= -3 whats the answer to x
zepelin [54]
3(x-4)=-3
3x-12=-3
3x=9
x=3
6 0
2 years ago
The ratio of green food coloring to blue food coloring is 1:2. If we use 6 drops of blue, how many drops of green will we need?
labwork [276]

1:2 means for every 1 drop of green there was 2 blue

6/2 = 3

3 drops of green

6 0
3 years ago
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