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sashaice [31]
3 years ago
14

WILL GIVE BRAINLIEST

Mathematics
1 answer:
Romashka [77]3 years ago
3 0

Answer:

Q(x) = (x+3)^{2}+5 is the final equation.

Step-by-step explanation:

<u>By translation of the graph 3 units upward direction, it means that the y-value of the function is increased by 3 unit at each value of x.</u>

Given , P(x) = (x+3)^{2}+2

We can actually translate the graph in any direction, and for that we have to make the necessary changes. If we translate the graph in the positive x direction, then we have to substitute (x - 3) instead of x in the equation.

Since we are translating the graph upwards ,

Q(x) = (x+3)^{2}+2 + 3

Q(x) = (x+3)^{2}+5

This is the final equation of the graph after translation.

You might be interested in
Which is the graph of f(x) = –(x + 3)(x + 1)?
yaroslaw [1]

Answer: CAN SOMEONE PLZZ ANSWER THIS QUESTION

Step-by-step explanation:

If the measure of angle 1 is (3 x minus 4) degrees and the measure of angle 2 is (4 x + 10) degrees, what is the measure of angle 2 in degrees? A horizontal line. A line extends from the line to form a 90 degree angle. Another line cuts through the 2 lines to form angles 1 and 2, which total 90 degrees.

5 0
3 years ago
Read 2 more answers
A manufacturer is planning to sell a new product at the price of 210 dollars per unit and estimates that if x thousand dollars i
sattari [20]

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

(y+4)^2 = $51.2

y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).

y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

3 0
3 years ago
HELP PLEASE !!!!!!!!!!
Arada [10]

Answer:

Answer B   (-\infty,1)U(1,2]

Step-by-step explanation:

Notice that the quotient of f(x)/g(x) is:

h(x)=\frac{\sqrt{2-x} }{x-1}

therefore, this new function imposes conditions due to the fact that it has a square root in the numerator and a binomial in the denominator both with the variable x. Then, in order for the root in the numerator to be defined, the argument inside the root must be larger than or equal to zero. That is:

2-x\geq 0\\2\geq x\\x\leq 2

So, this condition must be satisfied by the x-values of the domain.

Then we have the binomial in the denominator, which in order to be defined needs to be different from zero. Notice that the only x-value that could cause problems (render zero) is:

x-1=0\\x=1

Then, x\neq 1

So we have to eliminate the number 1 from the previous subset that required x smaller than or equal to 2.

The way to represent this Domain is then:  (-\infty,1)U(1,2]

8 0
3 years ago
Find the sum. I need help.​
Artyom0805 [142]

Answer:

B

Step-by-step explanation:

Bbbbbbbbbbbbbbbbbbbbbbbbbb

6 0
3 years ago
Read 2 more answers
Pls answer this question for ill give brainliest
notka56 [123]

Answer:

BE=15

Step-by-step explanation:

Since E is the center, BE=2x+1

And AC is 6x-12 with E being a midpoint.

Since AC is 2 segments and BE is only 1 then you multiply 2x+1 by 2 so that

you can find x. You multiply 2x+12 by 2 because E is the midpoint so that means ED is the same value as BE

6x-12=4x+2

BD=AC

6x-4x-12=2

2x=2+12

2x=14

x=7

BE= 2x+1

2(7)=14+1=15

7 0
3 years ago
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