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Nataly [62]
3 years ago
10

Explain how you can tell the function f (x) = |x + 4| is not linear by using points on its graph.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
6 0

If there are any three points on the graph that are not on the same line, the function is nonlinear. Such points might be ...

... (-5, 1), (-4, 0), (-3, 1)

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What is 8/5 divided by 3/5 help would be appreciated :))
Xelga [282]

Answer:

24 / 25:))))))))))))(

4 0
3 years ago
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The parabola with equation $y=ax^2+bx+c$ is graphed below:
Mashutka [201]

Answer:

m-n=2

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

f(x)=a(x-h)^2+k

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

f(x)=a(x-2)^2-4

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

12=a((4)-2)^2-4

Solve for a. Subtract within the parentheses:

12=a(2)^2-4

Add 4 to both sides:

16=a(2)^2

Square:

16=4a

Solve:

a=4

Thererfore, the value of a is 4.

So, our function is:

f(x)=4(x-2)^2-4

Now, let’s find our roots. Set the equation to 0 and solve for x:

0=4(x-2)^2-4

4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0
3 years ago
Read 2 more answers
PLEASE HELP! NO LINKS AND DONT ANSWER JUST FOR POINTS OR U WILL BE REPORTED! Will give brainiest!!
chubhunter [2.5K]

Answer:

brainly.com

Step-by-step explanation:

sorry my bad copy paste error

5 0
3 years ago
Can someone help me asap!! am timed right now​
Aneli [31]

Answer:

Step-by-step explanation:

Find the value of the left hand side (LHS)

LHS = 1/4 // 5/6

LHS = 1/4 * 6/5

LHS = 6/20

LHS = 3/10

Now what will make 3/10 on the right?

B:  1/4  * 6/5 = 6/20 = 3/10

a = 4

b = 6

c = 5

7 0
3 years ago
Factor completely.<br> 3x^2+30x+75=
mamaluj [8]
You write the problem as a mathematical expression
3x^2 + 30x + 75 =
Factor: 3 out of 3x^2 + 30x + 75.

3 (x2 + 10x + 25)

Factor using the perfect square rule.
And then your answer should be 3 ( x + 5) ^2
7 0
3 years ago
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