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frosja888 [35]
3 years ago
8

32.determine the rate of change of the graph

Mathematics
2 answers:
Anon25 [30]3 years ago
7 0
Rise over run 4/2 or 2 would be the rate of change the equation would be
Y=2x+12 or Y=4/2x+12 either one would work
densk [106]3 years ago
6 0
12, Y=2 X=1, starts at 12, rate is  (12+(2*Y) + (1*X) )
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The table shows a linear function.
sergejj [24]

Answer:

\large\boxed{y=\dfrac{5}{3}x+9}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the table we have an y-intercept (0, 9) → b = 9.

Take other point from the table (-6, -1).

Calculate the slope:

m=\dfrac{-1-9}{-6-0}=\dfrac{-10}{-6}=\dfrac{5}{3}

Finally:

y=\dfrac{5}{3}x+9

7 0
3 years ago
Can you please help me out with a question
Finger [1]

The standard equation of a circle is expressed as

(x - h)^2 + (y - k)^2 = r^2

where

h is the x coordinate of the center of the circle

k is the y coordinate of the center of the circle

r is the radius of the circle(the distance from the center of the circle to the circumference

From the graph,

h = - 1

y = 4

r = 5

By substituting these values into the equation, we have

(x - - 1)^2 + (y - 4)^2 = 5^2

(x + 1)^2 + (y - 4)^2 = 25

Thus, the equation of the circle is

(x + 1)^2 + (y - 4)^2 = 25

8 0
1 year ago
What are the roots of the equation?<br><br> x^2+24=−11x<br><br> Enter your answers in the boxes.
docker41 [41]
<span>The <u>correct answers</u> are:

x=-3 and x=-8.

Explanation<span>:

We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
8 0
3 years ago
Read 2 more answers
If (a+7,b+3)=(0,7)find a and b​
Lerok [7]
A+7=0
A+7-7=0-7
A=-7

B+3=7
B+3-3=7-3
B=4
3 0
3 years ago
70%70, percent of a number is what fraction of that number?
lesantik [10]

Hello there!

A number that is 70% of a number is 7/10 of that number in fraction form!

I hope this was helpful and have a great rest of your day!

3 0
3 years ago
Read 2 more answers
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