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Leviafan [203]
2 years ago
7

Determine the values of x when f(x)=40 for the function f(x)=2(x-3)^2-8

Mathematics
1 answer:
SpyIntel [72]2 years ago
5 0

Answer:

x = 3 ± \sqrt{24}

or

x = 3 + \sqrt{24}, x = 3 - \sqrt{24}

Step-by-step explanation:

given f(x) = 2(x - 3)^2 - 8, find when f(x) = 40

So, we plug in 40 for f(x) in the 1st equation and solve for x.  (Aim to got x on its own)

40 = 2 (x - 3)^2 - 8

+ 8          + 8

-----------------------------

48 = 2 (x - 3)^2

/2            /2

-----------------------------

24 = (x - 3)^2

square root both sides

--------------------

\sqrt{24} = x - 3

x = 3 ± \sqrt{24}

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Use the Distributive Property<br><br> 1/2 (2n+6m)
Alik [6]

Answer:

n + 3m

Step-by-step explanation:

It will become 1/2 * 2n + 1/2 * 6m = n + 3n

4 0
2 years ago
Four glasses of milk and 2 snack bars have a total of 72 carbohydrates​ (carbs), and 2 glasses of milk and 3 snack bars have a t
Travka [436]

One glass of milk has 11 carbs and one snack bar has 14 carbs.

Step-by-step explanation:

Let,

Glass of milk = x

Snack bar = y

According to given statement;

4x+2y=72   Eqn 1

2x+3y=64   Eqn 2

Multiplying Eqn 2 by 2

2(2x+3y=64)\\4x+6y=128\ \ \ Eqn\ 3

Subtracting Eqn 1 from Eqn 3

(4x+6y)-(4x+2y)=128-72\\4x+6y-4x-2y=56\\4y=56

Dividing both sides by 4

\frac{4y}{4}=\frac{56}{4}\\y=14

Putting y=14 in Eqn 1

4x+2(14)=72\\4x+28=72\\4x=72-28\\4x=44

Dividing both sides by 4

\frac{4x}{4}=\frac{44}{4}\\x=11

One glass of milk has 11 carbs and one snack bar has 14 carbs.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/5461619
  • brainly.com/question/5510873

#LearnwithBrainly

6 0
2 years ago
Andrew answered 21 out of 25 questions correctly on his math test. Written as a decimal, what portion of Andrew's answers were c
soldier1979 [14.2K]
Since we are calculating the amount that he got correct, we must divide the numerator by the denominator or make the denominator equal 100. I will do it the second way as it is easier in this case.

25*4 = 100
21*4 = 84

84/100 = 0.84

As a decimal, Andrew got 0.84 of his test correct. Hope this helps!
8 0
3 years ago
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
jek_recluse [69]

Answer:

C. -16.25 inches

Step-by-step explanation:

First, we need to find out the total rainfall in the three days

0.75 + 0.75 + 0.75 = 2.25

Now, we need to subtract this number from 18.5

18.5 - 2.25 is 16.25

So, your answer is -16.25

I really hope this is right and I really hope this helps!

4 0
2 years ago
A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 c
otez555 [7]

Answer:

Option A - 26 \mathrm{cm}^{3}

Step-by-step explanation:

Given: The volume of a cylinder = 78 \mathrm{cm}^{3}

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is V=\frac{\pi r^{2} h}{3}                    (1)

The formula for volume of a cylinder is V=\pi r^{2} h              (2)

Substituting V=78 in equation (2), we get,

\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}

Given that the cone has the same radius and height of that of the cylinder, let us substitute 78=\pi r^{2} h in equation (1)

\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}

Thus, the volume of a cone with the same radius and height of a cylinder is 26 \mathrm{cm}^{3}.

3 0
3 years ago
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