What is the inverse of f(x)=3x^2+5?

Answer:

[tex] \huge{x = \frac{7}{2} }[/tex]

Step-by-step explanation:

5(x - 9) + 3(x + 4) = 2(x - 6)

First expand the terms in the bracket

That's

5x - 45 + 3x + 12 = 2x - 12

Simplify

8x - 33 = 2x - 12

8x - 2x = 33 - 12

6x = 21

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{21}{6} \\ x = \frac{21}{6} [/tex]

Simplify

We have the final answer as

[tex]x = \frac{7}{2} \\ [/tex]

Hope this helps you

Answer:

x=3.5

Step-by-step explanation:

5(x-9)+3(x+4)=2(x-6)

5x-45+3x+12=2x-12

8x-33=2x-12

8x-2x=-12+33

6x=21

x=21÷6

=3.5

Hope it helps!!!

Answer:

The polar bear weighs 525kg

Step-by-step explanation:

C = Polar Bear

D = Baby Elephant

____________________________

(1)  C + D = 700 kg

(2)  C = 3D

________________________________

C = 700 - D

700 - D = 3D

700 = 4D

________________________________

525 + 175 = 700

Then we get our answer, the polar bear weighs 525kg, and the baby elephant weighs 175kg.

Hope this helps you :)

Answer:

[tex] {}^{6} \sqrt{3a} = {}^{6} \sqrt{3a} \\ {}^{3} \sqrt{5a} = {}^{6} \sqrt{5 {}^{2} } a {}^{2} = {}^{6} \sqrt{25} \\ \sqrt{za} = {}^{6} \sqrt{2 {}^{3} } a {}^{3} = {}^{6} \sqrt{8a {}^{3} } [/tex]

Answer:

x = 136º

Step-by-step explanation:

x = 180 - (29 + 15)

x = 180 - 44

x = 136

Hope that helps! :)

-Aphrodite

Answer:

50 litres

Step-by-step explanation:

If you think of it as a ratio, there are 20 litres to every 160 km. There are __ litres to every 400 km. To get to 400, 160 is multiplied by 2.5

So multiply 20 by the same number and you get the number of litres for 400 km.

20 * 2.5 = 50

Answer: Hello Luv........

Complete the square to find the vertex:

   (−2,−11)

Step-by-step explanation:

y=x2+4x−7

=x2+4x+4−11

=(x+2)2−11

Mark me brainest please.

Hope this helps!

Anna ♥

Answer:

C)

Step-by-step explanation:

Answer:

[tex] \frac{4}{5} [/tex]

Step-by-step explanation:

[tex] ( \cos \theta) ^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \therefore \: { \bigg( \frac{{6} }{10} \bigg)}^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \frac{36}{100} + ( \sin \theta) ^{2} = 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{64}{100} \\ \\ \sin \theta = \sqrt{\frac{64}{100} } \\ \\ \sin \theta = \frac{8}{10} \\ \\ \sin \theta = \frac{4}{5} [/tex]

The answer would be 46 gal.

Answer:

a = -1/15

Step-by-step explanation:

1 / 3a = -5

3a = 1 / -5

3a = -1/5

a = (-1/5) / 3

a = -1/15

Hope that helps! :)

-Aphrodite

Answer:

16.5 feet is the height of the house.

9514 1404 393

Answer:

  y = 0

Step-by-step explanation:

Subtracting the right side gives ...

  [tex]\dfrac{y}{P-9}-\dfrac{y}{P+9}=0\\\\y\left(\dfrac{(P+9)-(P-9)}{P^2-81}\right)=0\\\\y\left(\dfrac{18}{P^2-81}\right)=0\\\\\boxed{y=0}[/tex]

The factor multiplying y cannot be zero, so y must be zero.

Answer:

377 feet

Step-by-step explanation:

Find the circumference on the circle, using the formula C = 2[tex]\pi[/tex]r

Plug in 12 as r, the radius, then solve:

C = 2[tex]\pi[/tex]r

C = 2[tex]\pi[/tex](12)

C = 24[tex]\pi[/tex]

Multiply this by 5, since the kids ran around it 5 times:

24[tex]\pi[/tex](5)

= 120[tex]\pi[/tex]

To the nearest foot, this is 377.

So, the kids ran round 377 feet

Answer:

343 in

Step-by-step explanation:

Volume = Length × width × height

Volume = 7 × 7 × 7

Volume = 343

Answer:

the second one

Step-by-step explanation:

Answer: 0.333

Step-by-step explanation:

Answer:

0.333

Step-by-step explanation:

Answer:

E. 54cm ^2

Step-by-step explanation:

when finding the area just multiply length over width .for example 9 is the length times it to the width 6 you get 54 so the area will be 54 cm

Answer:

E

Step-by-step explanation:

length times width

6 x 9 = 54

Answer:

1.870828693387

Step-by-step explanation:

Standard Deviation, σ: 1.870828693387

Count, N:4

Sum, Σx: 12

Mean, μ: 3

Variance, σ2:  3.5

Steps

σ2 = Σ(xi - μ)2

N  =   (6 - 3)2 + ... + (1 - 3)2

4 = 14

4  = 3.5

σ = √3.5

= 1.870828693387

Answer:

3×2+1 - 2×3+1

2. 3

7. - 7

2. 3

21-14

6

7

6

=2 3

7

Answer:

the answer is 7/6 it doesn't give a whole number

Answer:

C

Step-by-step explanation:

Answer:

f^-1(x) = [tex]\frac{x+6}{5}[/tex]

Step-by-step explanation:

5x inverse would be [tex]\frac{x}{5}[/tex] and -6 inversed would be 6.

Since the 5 is a denominator, it would carry for the equation so your answer should be [tex]\frac{x+6}{5}[/tex].

Answer:

[tex]y=-x+10[/tex]

Step-by-step explanation:

Hi there!

Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Find the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (2,8),and (8,2)

​[tex]m=\frac{2-8}{8-2}\\m=\frac{-6}{6}\\m=-1[/tex]

Therefore, the slope of the line is -1. Plug this into  [tex]y=mx+b[/tex]:

[tex]y=-x+b[/tex]

2) Find the y-intercept (b)

[tex]y=-x+b[/tex]

Plug in a given point and solve for b

[tex]8=-2+b[/tex]

Add 2 to both sides

[tex]8+2=-2+b+2\\10=b[/tex]

Therefore, the y-intercept is 10. Plug this back into [tex]y=-x+b[/tex]:

[tex]y=-x+10[/tex]

I hope this helps!

Answer:

It will take 16 seconds to fall 256 feet.

Step-by-step explanation:

The distance s that an object falls varies directly with the square of time t of the fall i.e.

[tex]s=kt[/tex]

Where

k is the constant of proportionality

An object falls 16 feet in one second, it means,

16 feet = 1 second

1 feet = (1/16) seconds

To fall 256 feet,

[tex]t=\dfrac{256}{16}\\\\t=16\ s[/tex]

So, it will take 16 seconds to fall 256 feet.

Answer:

(-5, 5)

Step-by-step explanation:

A graph exists only for (-5, 5).  This is the domain.

Answer:

Because if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar

Step-by-step explanation:

Answer: they look similar

Step-by-step explanation: to try to figure it out rotate one triangle to make it look identical :)

Answer:

[tex]18th=44032[/tex]

Step-by-step explanation:

From the question we are told that:

9th term [tex]a9=\frac{43}{256}[/tex]

14th term [tex]a14=172[/tex]

Generally the equation for Geometric sequence is mathematically given by

 [tex]a_n=a_1r^{n-1}[/tex]

For 9th term

 [tex]\frac{43}{256}=a_1r^{8}[/tex]

For 14th term

 [tex]172=a_1r^{13} \\a_1=\frac{172}{r^13}[/tex]

Substitute in 9th term

 [tex]\frac{43}{256}=\frac{172}{r^13}*r^{8}[/tex]

 [tex]\frac{43}{256*172}=r^{-5}[/tex]

 [tex]r=^5sqrt{\frac{44032}{43}}[/tex]

 [tex]r=4[/tex]

Therefore First term a is given as

 [tex]a_1=\frac{172}{4^13}[/tex]

 [tex]a_1=2.563*10^{-6}[/tex]

Generally the equation for the 18th term is mathematically given by

 [tex]18th=a_1r^{17}[/tex]

 [tex]18th=2.563*10^{-6}*4^{17}[/tex]

 [tex]18th=44032[/tex]

Answer:

the value of the independent variable is 6

Answer:

6

Step-by-step explanation:

they are pretty much telling you to find the x-coordinate.

it is independent because the days do not depend on what the mass is, but the mass depends on what day it is.

sorry if this is confusing, have a good day!

Answer:

D. -1

Explanation:

Parallel lines will always have the same slope

Answer:

Both 4x^2 and 64 are perfect squares

Step-by-step explanation:

If you are looking for the difference of squares, the two terms both have to be squares. We know that 64 is a square because it is 8 x 8. Also, we can say 4x^2 is a square because it can also be written as (2x)^2. We are basically looking for an option that tells us that they are square. This is option 1.

The second option is invalid because being an even number does not mean the number is a square.

The third option does not help the case much either. Just because there is a common perfect square factor, does not mean the numbers themselves are perfects squares.