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andre [41]
4 years ago
10

 (

atex-formula">-3x=2)-(3x^{2}-5x-1)
Mathematics
2 answers:
Alisiya [41]4 years ago
4 0
(x^2-3x+2)-1(3x^2-5x-1)=
x^2-3x+2-3x^2+5x+1=
x^2-3x^2-3x+5x+2+1=
-2x^2+2x+3
Aleksandr-060686 [28]4 years ago
4 0
(x² - 3x + 2) - (3x² - 5x - 1)

This problem can be split up into like terms. So, all of the terms containing x² would be put together, the terms containing just one x would be put together, and the terms without x's would be put together.

(x² - 3x²) = -2x²

(-3x -  -5x)   Simplify the double negative
(-3x + 5x) = 2x

(2 - -1)   Simplify the double negative
(2 + 1) = 3

So, when you put those all together you get -2x² + 2x + 3.
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Solve for x 4^x-2=256
salantis [7]
We can do this problem using two ways....
Let me show you both methods.

<u>Method 1: "Without using logs"</u>

4^{x-2}=256\\\\  4^{x-2}=4^4\ \ \ \ \ |\because 4^4 \ $is the same as 256

Now, since both sides of the equation have same base and they equal each other, then their exponent must be equal to each other. So, we equal their exponents. 

After equaling the exponents, we get,
x - 2 = 4 \\\\ x=4+2 \\\\ \boxed{x = 6} \Leftarrow $ This is your answer!!

Now,
<u>Method 2: "Using Logs"</u>

4^{x-2}=256 \\\\ ~~~~~~~\Downarrow   ~~~~~~ is\ the\ same\ thing\ as\ saying \\\\$log\ _4\ 256 =x-2 \\\\ Now,\ using\ the\ log\ property\ log_AB= \frac{log_cA}{log_cB}, \ we \ get, \\\\  \frac{log_{10}256}{log_{10}4}=x-2 \\\\ 4=x-2 \\\\ 4+2=x\\\\ 6=x \\\\ \boxed{x=6} \Leftarrow $This is your answer



<u>So, either way we get x= 6</u>
8 0
3 years ago
Read 2 more answers
In the 30-60-90 triangle below, side s has a length of and the hypotenuse has a length of
Zepler [3.9K]
Are there any dimensions on the triangle? or is it in terms of s? if so the answer would be 2s/sqrt(3) or you can rationalize the bottom and youd get 2sqrt(3)s/3
6 0
3 years ago
Read 2 more answers
The product of two numbers was 9. If one number is three and three fourth, what was
Vinvika [58]

Answer:

2.4

Step-by-step explanation:

3 3/4 = 3.75

9/3.75 = 2.4

7 0
3 years ago
The value of the x-intercept for the graph of 4x-5y=40 is<br> 1) 10<br> 2) 4/5<br> 3) -4/5<br> 4) -8
borishaifa [10]

Answer:

I took it and got this question anf got it correct! Hope i helped!

Step-by-step explanation:

- 8

7 0
3 years ago
Read 2 more answers
Make k the subject for 3t = 7k/13 - 17 and 7k = 4k/3t - 11t
Lina20 [59]
A)

3t = 7k/13  - 17

3t + 17 = 7k/13

13*(3t + 17) = 7k

7k =  13*(3t + 17)

7k = 39t + 221

k = (39t + 221) / 7

b)

7k = 4k/3t -  11t

11t = 4k/3t - 7k              LCM = 3t

11t =  (4k - 21kt) / 3t

11t*3t = (4k - 21kt)

33t² = k(4 - 21t)

33t² /(4 - 21t)  = k

k =  33t² /(4 - 21t)

I hope this helps.
3 0
3 years ago
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