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quester [9]
2 years ago
11

How do I factor this trinomial? 4c^2-12c+9

Mathematics
1 answer:
Marrrta [24]2 years ago
3 0
So the answer is (2c – 3) (2c – 3) or (2c – 3)^2

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The perimeter of a square is 44. Find the length of a diagonal.
julsineya [31]
If the perimeter is 44 the the diagonal is 22
7 0
2 years ago
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The mean of four numbers is 7. Three of the numbers are 5,7 and 7. What is the fourth number?
Marrrta [24]

Answer:

fourth number is 9

Step-by-step explanation:

let 'x' equal the fourth number

(5+7+7+x)/4 = 7

cross-multiply to get:

19 + x = 28

x = 9

5 0
2 years ago
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Write as<br> logarithm with base 4:<br> 4<br> -5<br> 2<br> -4
NeX [460]

Answer:

log_4(256)=4

log_4(1/1024)=-5

log_4(16)=2

log_4(1/256)=-4

Step-by-step explanation:

We want to write a number, x, such that

Log_4(y)=x.

In exponential form that is 4^x=y.

So first number is x=4.

4^4=256 which means log_4(256) is 4 as a logarithm with base 4.

The second number is x=-5.

4^-5=1/4^5=1/1024 which means log_4(1/1024) is -5 as a logarithm with base 4.

The third number is x=2.

4^2=16 so log_4(16) is 2 as a logarithm with base 4.

The fourth number is x=-4.

Since 4^4=256 then 4^-4=1/256 which means -4 as a logarithm with base 4 is log_4(1/256).

8 0
2 years ago
Translate algebraic expressions <br> Subtract 6 from 4 times d
valentinak56 [21]
I think the Answer is 4d-6


8 0
2 years ago
What is f(g(x)) for x &gt; 5?
mel-nik [20]

Answer:

\large\boxed{B.\ 4x^2-41x+105}

Step-by-step explanation:

f(x)=4x-\sqrt{x}\\\\g(x)=(x-5)^2\\\\f(g(x))\to\text{put}\ x=(x-5)^2\ \text{to}\ f(x):\\\\f(g(x))=f\bigg((x-5)^2\bigg)=4(x-5)^2-\sqrt{(x-5)^2}\\\\\text{use}\\(a-b)^2=a^2-2ab+b^2\\\sqrt{x^2}=|x|\\\\f(g(x)=4(x^2-2(x)(5)+5^2)-|x-5|\\\\x>5,\ \text{therefore}\ x-5>0\to|x-5|=x-5\\\\f(g(x))=4(x^2-10x+25)-(x-5)\\\\\text{use the distributive property:}\ a(b+c)=ab+ac\\\\f(g(x))=(4)(x^2)+(4)(-10x)+(4)(25)-x-(-5)\\\\f(g(x))=4x^2-40x+100-x+5\\\\\text{combine like terms}\\\\f(g(x))=4x^2+(-40x-x)+(100+5)\\\\f(g(x))=4x^2-41x+105

6 0
3 years ago
Read 2 more answers
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