Answer:
D) y = 2x − 8
Step-by-step explanation:
Use the Distributive Property to convert from <em>Point-Slope</em><em> </em><em>Form</em><em> </em>to <em>Slope-Intercept</em><em> </em><em>Form</em>:
y − 4 = 2(x − 6)
y − 4 = 2x − 12
+ 4 + 4
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In 36 days will the science and math teachers both give tests on the same day again.
<u>Step-by-step explanation:</u>
Here we have , The 6th grade science teacher gives a test every 12 days and the math teacher gives a test every 9 days. Today, both the science and math are giving tests. We need to find In how many days will the science and math teachers both give tests on the same day again . Let's find out:
It's given that science teacher gives a test every 12 days and the math teacher gives a test every 9 days . In order to find the number of days after which they'll give test at same day , we will find LCM of 12 & 9 . i.e.
⇒
and ,
⇒ 
Hence , LCM of 12 and 9 is 36 . Therefore , In 36 days will the science and math teachers both give tests on the same day again.
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Answer:
Perimeter = 36 cm
Step-by-step explanation:
Firstly, Check the attached picture
perimeter = 10 + 10 + 8 + 8
= 20 + 16
= 36
:)
Answer:
Step-by-step explanation:
Given f(x) = 2x²+16
g(x) = √5x³
First is to get the composite function f(g(x))
f(g(x)) = f(√5x³)
To get f(√5x³), we will replace x in f(x) with √5x³ as shown:
f(√5x³) = 2(√5x³)²+16
f(√5x³) = 2(5x³)+16
f(√5x³) = 10x³+16
Hence f(g(x)) = 10x³+16
f(g(x)) will be the function of amount earned by Raul for the total number hour he works
Answer:
c)-5(3x+2y)(3x-2y)
Step-by-step explanation:
1) lets find out if -45 and 20 have a GCF
-45 and 20 are both dividable by -5 so
-5(9x^2-4y^2)
1) you can see that 9 and -4 are perfect square so:
-5(3x+2y)(3x-2y)
Recheck:
1) lets use FOIL to see if this is right(if its right we will get back our original equation)
-5(9x^2-6xy+6xy-4y^2)
-5(9x^2-4y^2)
-45x^2+20y^2
hope this helps!