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Mice21 [21]
3 years ago
9

Write the following linear function in slope intercept form.

Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0

Answer:

Step-by-step explanation:

my guessing skills be like y=-3x+1

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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
Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = 2^2x
const2013 [10]
Answer: c) The base is 2.

Reason: It is an exponential function because the variable (2) depends on the x.
3 0
3 years ago
Is this thesis OK for my schizophrenia essay? Schizophrenia is a severe mental illness that deeply affects the patient's daily l
sattari [20]
I don't know how many paragraphs your professor needs you to develop, but if your essay consists on just 3 paragraphs (introduction, body and conclusion) your thesis is OK.
Now, if your essay needs to have, lets say 4 or 5 paragraphs (introduction, body 1, body 2, body 3, and conclusion) I'd recommend you to add two more details to your essay. For example,

Schizophrenia is a severe mental illness that deeply affects not only the patient's daily life, but also his family and friends.

paragraph 1 is to develop how schizophrenia affects the patient daily life only. Paragraph 2 is to develop how schizophrenia affects the patient's family and paragraph 3 to develop how it affects his or her family.

Don't forget to put examples, professors love when you put examples.
Good luck, and if you need help, you can ask me.
3 0
3 years ago
Assume the selling price of your house calculate the
emmasim [6.3K]

Answer:

$14000

Step-by-step explanation:

Given that :

Commission 5% of sale price

Sale price of house = $280,000

Commission = 5% of $280,000

Hence,

Commission = 0.05 * $280,000

Commission = $14,000

4 0
2 years ago
Solve for y.<br> y + 1.05 = 7.26<br> y = -6.21<br> y = -8.31<br> y = 6.21<br> y = 8.31
Naddik [55]
Y=6.21
hdjsakkaksk
hejsksksjsk
3 0
3 years ago
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