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Margarita [4]
3 years ago
6

Solve: $|2x - 1| = |3x + 5|$. write your answers as a list of numbers, separated by commas,

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0
First, disregard the sign for absolute value and solve for x. 

2x - 1 = 3x + 5
2x - 3x = 5 + 1
-x = 6
x = -6

Now, you have to interpret the absolute value. The absolute value of x is always the positive version of whatever the number is. Since x = -6, its absolute value is 6. Therefore, the possible value for x is only one, which is 6.
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Given the function f(x) = x3 + 2x2 − 3x − 5, what is the resulting function when f(x) is shifted to the right 1 unit? f(x + 1) =
xz_007 [3.2K]
When a function is shifted to the right by 1 unit it is moved towards the negative side so we would be adding -1 to the value of x. The function f(x) would be f(x-1). To determine the resulting function, we substitute to the parent function (x-1) to x. We do as follows:

<span>f (x) = x^3 + 2x^2 − 3x − 5
</span>f (x-1) = (x-1)^3 + 2(x-1)^2 − 3(x-1) − 5
f (x-1) = x^3 - 3x^2 + 3x - 1 + 2(x^2 - 2x + 1) - 3x + 3 - 5
f (x-1) = x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5
f (x-1) = <span>x^3 - x^2 - 4x - 1 

Therefore, the correct answer is the last option.</span>
5 0
3 years ago
SOMEONE PLZ HELP ME ON THIS PROBLEM!!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!!
NeX [460]

Answer:

D

Step-by-step explanation:

End behaviour refers to the asymptotes, which both exponential functions have the same one at y = 2. However, they have different y - intercepts. The first one has a y - intercept of 4 and the second one has a y - intercept of 6. Thus, the answer is D.

4 0
3 years ago
Read 2 more answers
gordon bought a bag that was a mix of apples and oranges in a ratio of 5:4 there were 27 fruits in all how many fruits were in t
V125BC [204]

Answer:

apples= 15

oranges = 12

Step-by-step explanation:

5+4=9

27/9=3

therefore

apples=3*5=15

oranges=4*3=12

6 0
2 years ago
A rectangular garden measures 25ft by 38ft. Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this pat
lesya [120]

So as the path adds an extra 2 feet to each side I would start this by adding two feet to each part (so 25+2 x 38+2) which leaves you with 27ft by 40ft. Multiply to find this total area, which results in 1080. Now, you want to remove the actual area of the garden itself as this is not part of the path. So 25x38=950. Subtract 1080 by 950. This gives you just the area of the gardens path which would be 130 feet^{2}

4 0
3 years ago
Read 2 more answers
Write the following polynomial in standard<br> form: <br><br> 4x+3-4x2-10x3
Ne4ueva [31]

Answer:

− 10 x ^3 − 4 x ^2 + 4 x + 3

Step-by-step explanation:

5 0
3 years ago
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