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lions [1.4K]
3 years ago
10

How do i change standard form equations back into slope intercept form?

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

slop intercept form is y-y1=m(x-x1)

while stander form is ax+by=c

also if u post the problem we could help u solve it

You might be interested in
Given: f(x) = x 2, g(x) = x + 6, h(x) = 7<br><br> Find h{g[f(x)] }.<br><br> a. 7<br> b. 20<br> c. 55
GarryVolchara [31]

Given f(x) = x^2 + 1 and g(x) = x-2

a. Find (f-g)(-2)

[f-g](x) = f(x) - g(x) = x^2-x+3

[f-g](-2) = (-2)^2-(-2)+3 = 9

----------------------------

b. Find f[g(5)]

f[g(5)] = f[5-2] = f[3] = 9+1 = 10

===================

problem a.

-----

(f-g)(x) = f(x) - g(x)

-----

(f-g)(-2) = f(-2) - g(-2)

-----

f(x) = x^2 + 1

f(-2) = (-2)^2 + 1

f(-2) = 4+1

f(-2) = 5

-----

g(x) = x-2

g(-2) = -2-2

g(-2) = -4

-----

f-g(-2) = f(-2) - g(-2) = 5 - (-4) = 5 + 4 = 9

-----

answer for a is:

f-g(-2) = 9

-----

problem b.

-----

g(x) = x-2

g(5) = 5-2

g(5) = 3

-----

f(x) = x^2 + 1

f(g(5)) = (g(5))^2 + 1

since g(5) = 3, equation becomes:

f(g(5)) = 3^2 + 1

f(g(5)) = 9 + 1 = 10

-----

answer for b is:

f(g(5)) = 10

-----

in general, you substitute whatever value is replacing x in the equation to get your answers.

looking at problem b in this way, we would get a general solution as follows:

f(x) = x^2 + 1

g(x) = x-2

substitute g(x) for x:

f(g(x)) = (g(x))^2 + 1

substitute the equation for g(x) on the right hand side.

f(g(x)) = (x-2)^2 + 1

remove parentheses:

f(g(x)) = x^2 - 4*x + 4 + 1

simplify:

f(g(x)) = x^2 - 4*x + 5

-----

substituting 5 for x:

f(g(5)) = (5^2 - 4*5 + 5

simplifying:

f(g(5)) = 25 - 20 + 5

f(g(5)) = 10

-----

answer is the same as above where we first solved for g(5) which became 3, and then substituted that value in f(g(x)) which made it f(3)).

Hope this helps!

5 0
3 years ago
Read 2 more answers
Classify the triangle based on the side lengths 7. 15 and 21​
densk [106]

Answer:

acute

Step-by-step explanation:

acute is less then 90

7 0
3 years ago
Knowing that 2i is one answer to the equation x^4 - 2x^3 + 6x^2 - 8x + m = 0, find the 'm' and the other possible answers.
kakasveta [241]
Ok so remember
if a+bi is a root, then a-bi is also a root

since 2i is a root, -2i is also a root
use synthetic division and the fact that when we divide by 2i and -2i, we have to get all real coeficients and end witha zero at the end
I will show the division in the attachment

we find m=8


we then find th resulting equation that is x^2-2x+2=0
quadratic formula
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
x=1+i or 1-i







m=8 and the other roots are
x=-2i, 1+i, 1-i


4 0
3 years ago
What is RD.sharma and S.chand ??​
Irina18 [472]

Answer:

how are you

Step-by-step explanation:

RD Sharma, a prominent mathematician, educator and author of several textbooks. Prominent mathematician, educator and author of several textbooks and guides practically sleeps, eats, breathes equations, formulas and more. The name RD Sharma is enough to make the average student feel a chill down the spine.

6 0
2 years ago
Read 2 more answers
PLEASE HELP MY BRAIN IS SQUASHED!!!!
statuscvo [17]

Answer:

That’s sad. Option c

Step-by-step explanation:

4 0
3 years ago
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