someone answer this asap pls

let's recall that for a function f(x) that has an inverse function f⁻¹(x), the domain of f(x) corresponds to the range of f⁻¹(x), what the heck does that all mean?

well, it means that for any coordinate pairs (a , b) in f(x), there's a corresponding pair of (b , a) on f⁻¹(x).

we know in this case that f(-4) = 15, or namely that f(x) has a pair of (-4 , 15), well, that means that f⁻¹(x) has a swapped pair of (15 , -4).

the above means that f⁻¹(15) = -4.

Answer:

Step-by-step explanation:

Where are your answers?

Answer:

Step-by-step explanation:

y = - 3x² - 24x - 42

y = - 3( x² + 8x + 14 )

y = - 3( x² + 2·4·x + 16 - 16 + 14 )

y = - 3[ ( x + 4 )² - 2 ]

y = - 3( x + 4 )² + 6

Answer:

x=-5

Step-by-step explanation:

-6(x + 7)=-12

-6x+-42=-12

-6x=30

x=-5

Answer:

X = -5

Step-by-step explanation:

-6(x+7)=-12

Use the distributive property

-6x-42=-12

Add 42 to -42, and 42 to -12

Adding 42 to -42 cancels -42 out

-6x=30

Divide -6 by -6, and 30 by -6

x=-5

Answer:I think it’s y = 6; slope is 6

Step-by-step explanation:

Because it’s on the positive side so I think it’s that one

The equation of the line will be x = 6. And the slope of the vertical line is infinite.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation of the vertical line is given as,

x = c

The line is passing through (6, 0). Then we have

6 = c

Then the equation of the line will be x = 6. And the slope of the vertical line is infinite.

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The volume of the right prism is the product of the length, width and height

The height of the prism is 7.40 ft

The given parameters are:

Volume = 214.5 ft cube

Length = 5 ft

Width = 5.8 ft

The volume of the right prism is calculated as:

Volume = Length * Width * Height

So, we have:

214.5 = 5 * 5.8 * Height

Evaluate the product

214.5 = 29 * Height

Divide both sides by 29

7.40 = Height

Rewrite as:

Height = 7.40

Hence, the height of the prism is 7.40 ft

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Answer:

6.6

Step-by-step explanation:

Using the normal distribution, it is found that she scores less than 192 in 99.3% of games.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 160, \sigma = 13[/tex].

The proportion of games in which she scores less than 192 is the p-value of Z when X = 192, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{192 - 160}{13}[/tex]

[tex]Z = 2.46[/tex]

[tex]Z = 2.46[/tex] has a p-value of 0.993.

Hence, she scores less than 192 in 99.3% of games.

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Answer:

32

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Hope this helps! :)

Have a blessed day and remember to keep smiling! :)

[tex][Hello,BrainlyUser][/tex]

Answer:

32 Yards

Step-by-step explanation:

Given;

Length of fabric required for each costume = 2 2/3

Total number of costumes to be made =12

Solve;

12 * 2 2/3

We can multiply mixed numbers by converting it to fractions.

⇒ 12 * 8/3

⇒ 32

Thus, you need 32 yards of fabric.

[CloudBreeze]

The required ratio is given as a) 4/1 b) 1/4 c) 1/5 and d) 4/5.

Given that,
Spent $4.80 on groceries and $1.20 on vegetables.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Total cost = 4.80 + 1.20
Total cost = $6.00

a. Cost of groceries to cost of vegetables;
Ratio = 4.80 / 1.20 = 4 / 1

b. Cost of vegetables to cost of groceries;
Ratio = 1.20 / 4.80 = 1 / 4

c. Cost of vegetables to total cost;
Ratio = 1.20 / 6 = 1 / 5

d. Cost of groceries to total cost
Ratio = 4.80 / 6 = 4 / 5

Thus, the required ratio is given as a) 4/1 b) 1/4 c) 1/5 and d) 4/5.

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Explanation:

Compare each equation to the form y = mx+b

m = slope

The first equation has slope -1/3 and the second equation has slope 1/3

The slopes do not multiply to -1, so the lines aren't perpendicular.

The slopes aren't equal, so the line aren't parallel either.

Answer:

[tex]-\frac{5y}{3}+\frac{5}{2}[/tex]

Step-by-step explanation:

Given Problem;

[tex]\frac{5}{6}\left(-2y+3\right)[/tex]

Solve;

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]

[tex]\frac{5}{6}\left(-2y+3\right)=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3[/tex]

[tex]=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3[/tex]

[tex]\mathrm{Simplify\;=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3:}-\frac{5y}{3}+\frac{5}{2}[/tex]

[tex]=-\frac{5y}{3}+\frac{5}{2}[/tex]

Hence, Answer = [tex]-\frac{5y}{3}+\frac{5}{2}[/tex]

~Learn with Lenvy~

show that the foflleing statement and soln

There are tables (4) and (5) represent quadratic relationships.

A quadratic relationship is equivalent to a quadratic formula. These relations are frequently used to determine the height of falling objects, kicked balls, or an arched bridge.

As per table (4), we have

x             y        

0            4          

1            -4  

2           -4  

3            4    

Substitute these points in the graph, we get it represents quadratic relationships.

When plotting the graph of a quadratic relation, always display the significant points, the vertex, and the crossings with the axes.

As per table (5), we have

x             y        

0           -4          

1            -8  

2           -10  

3           -10    

When we substitute these points in the graph, we see that it also shows quadratic relations.

Thus, tables (4) and (5) represent quadratic relationships.

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The complete question has been attached below.

Check the picture below.

so the region is the one bounded by a hyperbola and two straight lines, one of which is the x-axis, or namely y = 0, since the hyperbola has a vertex at x = 4, then our bounds are from 4 to 5.

[tex]x^2-y^2=16\implies x^2-16=y^2\implies \pm\sqrt{x^2-16}=y \\\\\\ \stackrel{I~Quadrant}{+\sqrt{x^2-16}=y}\qquad \qquad \implies \stackrel{\textit{using the disk method}~\hfill }{\displaystyle\int_{4}^{5}~\pi \left( \sqrt{x^2-16} \right)^2\cdot dx\implies \pi \int_{4}^{5}(x^2-16)dx} \\\\\\ \pi \left( \left. \cfrac{x^3}{3} \right]_{4}^{5} ~~ - ~~\left. 16x\cfrac{}{} \right]_{4}^{5}\right)\implies \pi \left[\cfrac{61}{3}~~ - ~~16 \right]\implies \cfrac{13\pi }{3}[/tex]

Answer:

F(4) = 36

Step-by-step explanation:

F = C/a, where C is a constant

Since 48 = C/3

C = 144

F(a) = 144/a

-----

F(3) = 144/3

F(3) = 48

----

F(4) = 144/4

F(4) = 36

The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41

The density formula is given by:

Density = mass/volume

The volume of the cylinder = π * radius² * height

Radius = diameter / 2 = 41/2 = 20.5, height = 780 cm. Hence:

Volume = π * 20.5² * 780 = 1029798 cm³

Density = mass/volume

6.1 = mass/1029798

mass = 6281770 kg

Cost = 6281770 kg * $0.62 per kilogram = $3894697.41

The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41

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Answer:

9z - 10y

Step-by-step explanation:

I hope this helps!

Answer:

  65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

  (4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

  d² = 12² +7² = 144 +49 = 193

  d = √193 ≈ 13.892

Then the total length of all strings is ...

  L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

Answer:

x = -1/6

Step-by-step explanation:

Firstly, you need to expand the brackets. So this would give, 8 + 12x - 6.

Then you collect like terms to give, 12x + 2. After this, we solve for x. To do this we need to assume that all this is = 0. Then it's easy to solve:

12x + 2 = 0

12x = -2

x = -2/12

x = -1/6

Answer:

9 /89

Step-by-step explanation:

Answer:

[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]

Step-by-step explanation:

Sunday ice cream :

Ice cream scoops = 3

Strawberries = 4

Milkshake :

Ice cream scoops = 2

Strawberries = 6

Ramses wants to  make sundaes and milkshakes with at  most 25 ice-cream scoops  and 37 strawberries.

Let x be the no. sundaes and y be the no. of milkshakes

So, Equations are :

[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]

Now we are supposed to graph the solution

[tex]3x+2y\leq 25[/tex] --- Blue

[tex]4x+6y \leq 37[/tex] --- Green

Refer the attached figure

Answer:

I think it's 7

Step-by-step explanation:

-6 < 2T (-5+5) < 3+5

-6 < 2T < 8

+6 < 2T < 8 + 6

0 < 2T < 14

0 < ÷ 2 < ÷ 2

0 < T < 7

-0 < T < -0

T = 7

Answer:

( [tex]\frac{1}{2}[/tex], 0 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 2 → (1)

2x - 3y = 1 → (2)

Adding (1) and (2) term by term will eliminate the y- term, that is

6x = 3 ( divide both sides by 6 )

x = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and evaluate for y

Substituting into (1)

4([tex]\frac{1}{2}[/tex] ) + 3y = 2

2 + 3y = 2 ( subtract 2 from both sides )

3y = 0 ⇒ y = 0

Solution is ( [tex]\frac{1}{2}[/tex], 0 )

Answer:

a) 100/70 = 1.43 cents for 1 g of fish

180 x 1.43 = 257.4 pennies = 2.57 dollars

b) 2.45 dollars = 245 pennies

245/1.43 = 141.33.... = 141 g

Step-by-step explanation:

Answer:

72.39

Step-by-step explanation:

Cost of boots: 67.34

Tax: 7.5%

Amount of tax he payed: 67.34 * 7.5/100 = 5.05

Total Amount = 67.34 + 5.05 = 72.39

Answer:

A im pretty sure :)

Step-by-step explanation:

Answer:

(C) The price was reduced by a quarter

(H) The price is 75% of what it was before.

Step-by-step explanation:

Let's go through all the answer choices:

(A) The price doubled.

(B) The price is 150% of the price before.

(E) The price is now 1.5 times greater than what it was before.

(F) The price now is 662 % of what it was before.

(G) The price now is 200% of what it was before.

knowing that decreased meaning smaller or fewer.

Thus, it can't be doubled or more than 100% as well was greater.

Hence, the best answer is

(C) The price was reduced by a quarter

(H) The price is 75% of what it was before.

Note:

Reduced = Smaller, Less amount

Greater = More

Doubled = More

Decreased = Smaller, Less amount.

[RevyBreeze]

The statements are equivalent to the statement "the price decreased by 25%" are:

The price was reduced by a quarter.

The price is 75% of what it was before.

We have statement,

"the price decreased by 25%".

So, the statement that follow the statement is

The price was reduced by a quarter.

The price is 75% of what it was before.

Statements are not equivalent to the given statement.

"The price is 150% of the price before" means the price increased by 50%, not by 100% or double.

"The price doubled."

"The price is 150% of the price before."

"The price is now 1.5 times greater than what it was before."

"The price now is 200% of what it was before."

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Answer:

Sylvia's cat weighs 3 pounds more than Michelle's cat

Sylvia’s cat weighs 48 ounces more than Michele’s cat.

The downward force exerted by any object due to the effect of the earth's gravity is called weight.

Given that:-

The difference between the weight = 12 - 9 = 3 pound

1  pound = 16 ounces

3 pounds = 16 x 3 ounces = 48 ounces

Therefore Sylvia’s cat weighs 48 ounces more than Michele’s cat.

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Answer:

Ok, suppose that there are M Petri dishes, where M is an integer number.

If there are N students in the class, then the number of Petri dishes that each student gets is:

# = M/N.

(always that N divides M)

If not, we will have a remainder, R,  of Petri dishes such that:

M ≥ N

R < N

This means that:

The total number of Petri dishes must be equal or larger than the number of students.

If M is larger than N, and N does not divide M, then the remainder of the quotient will be smaller than N.

Now with this, you can replace the numbers and do the math.

"The more students that decide to do the bacteria experiment, the fewer the number of Petri dishes each student gets."

You can easily see this because the equation for the number of Petri dishes that each student gets is:

# = M/N.

Here, N is in the denominator, then if the number of students in the class increases, the denominator in the operation increases, which means that the quotient will be smaller.

Answer:

Step-by-step explanation:

AC = 150  Feet

CB = 75 feet.

BD = 100 feet

You use the tangent here.

Tan(A) = opposite/ Adjacent

Opposite = BD = 100 feet

Adjacent = AB = AC + CB = 150 + 75 = 225  feet.

Tan(A) = 100 / 225

Tan(A) = 0.4444

A = Tan-1(0.4444)

A = 23.96 degrees, but the front row of trees cannot be more than 100 feet tall