Answer:
(14,-1)
Step-by-step explanation:
okay so first you need to use the "x=4y+10" in the first equation.
Rewrite as
3(4y+10) +11y=7
Distribute the 3(4y+10)
Rewrite as
12y+30
You'll have the equation
12y +30 +11y= 7
Subtract the 7 from both sides
12y+30+11y-7= 0
Combine like terms
23y+23=0
the best thing to do here is divide the equation by 23.
23/23 = 1
you'll have
y + 1 = 0
this simplifies to
y= -1
use this y value to solve for x
the easiest way to do this is start with the equation
x = 4y +10
Substitute the y for -1
x = -4(-1) +10
x = 4 +10
x = 14
the solution point is
(14,-1)
Step-by-step explanation:
f(x)=2x²+3x+9
g(x) = - 3x + 10
In order to find (f⋅g)(1) first find (f⋅g)(x)
To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)
We have
(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9
Expand
(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9
= 18x² - 120x + 200 - 9x + 30 + 9
Group like terms
(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9
(f⋅g)(x) = 18x² - 129x + 239
To find (f⋅g)(1) substitute 1 into (f⋅g)(x)
That's
(f⋅g)(1) = 18(1)² - 129(1) + 239
= 18 - 129 + 239
We have the final answer as
<h3>(f⋅g)(1) = 128</h3>
Hope this helps you
<h2>Evaluating Composite Functions</h2><h3>
Answer:</h3>

<h3>
Step-by-step explanation:</h3>
We can write how
will be defined but that's too much work and it's only useful when we are evaluating
with many inputs.
First let's solve for
first. As you read through this answer, you'll get the idea of what I'm doing.
Given:

Solving for
:

Now we can solve for
, since
,
.
Given:

Solving for
:

Now we are can solve for
. By now you should get the idea why
.
Given:

Solving for
:

Answer:
brainliest plz
Step-by-step explanation:
Answer:
the third side is 5 2/3 in.
s - 1
Step-by-step explanation:
a = side 1
b = side 2
c = side 3
a + b + c = 15
a = b - 4 => b = a + 4
c = a + 3
a + a + 4 + a + 3 = 15
3a + 7 = 15
3a = 8
a = 8/3 = 2 2/3 in
b = a + 4 = 6 2/3 in
c = a + 3 = 5 2/3 in