What is the range of f(x)?-3, -2, -1, 0,1
-2.-1.0.1
all real numbers such that -3all real numbers such that -2

Answers

Answer 1

Answer:

The range of f(x) would be -2, -1, .0, 1.

What is the range of the function?

The range of the function is depicted by the points that the blue lines make on the graph. Thus we have the first blue line on point, -2. This gradually progresses to -1 and then 0 and 1 on the y-axis.

The range of a function refers to the values that are covered by the expression and the values, -2, -1, .0, and 1 represent the function. Option B is right.

Learn more about the range of a function here:

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Answer 2

Answer: It -2,-1 I hope this help

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Is log2+log18 equal to log30+log6

Answers

$No,\ is's\ not\ because:\n\nlog2+log18=log(2\cdot18)=log36\n\nand\n\nlog30+log6=log(30\cdot6)=log180\n\nlog36\neq log180$

No it's not log2+log18= 1.55, while log30+log6=2.25

37. A company is choosing between two tanks for mixing chemicals Bothhave the same price, so the company plans to choose the one thatcan holdtanksthemost chemicals. The first tank conical with a diameter of 10 feet anda heightof 15 feet. The second tank is a hemisphere with a radius of 5.5 feetOne cubic foot 7.48 gallons

Answers

Volume of the conical tank = 1/3pi*r^2 * h = 1/3pi * (10/2)^2 * 15 = 125pi cubic feet or 392.7 cubic feet = 392.7 * 7.48 gallons = 2937 gallons.

Volume of the hemispherical tank = 2/3pi * r^3 = 2/3pi * (5.5)^3 = 348.5 cubic feet = 348.5 * 7.8 gallons = 2606 gallons

Hence the conical tank will contain more chemicals

Given:
1st tank: conical with diameter of 10 feet and height of 15 feet.
2nd tank: hemisphere with a radius of 5.5 feet

volume of a cone = πr² h/3
V = 3.14 * (5ft)² * 15ft/3
V = 3.14 * 25ft² * 5ft
V = 392.5 ft³

392.5 ft³ * 7.48 gallons/ft³ = 2,935.9 gallons

volume of a hemisphere = (2πr³)/3
V = [2 * 3.14 * (5.5ft)³]/3
V = (2 * 3.14 * 166.375 ft³)/3
V = 1,044.835 ft³/3
V = 348.28 ft³

348.28 ft³ * 7.48 gallons/ft³ = 2,605.13 gallons

Simplify the following expression: (x + 6y) − (3x − 10y). If the final answer is written in the form Ax + By, what is the value of A?

Answers

Answer: The value of A is -2.

Step-by-step explanation:

Since we have given that

$(x+6y)-(3x-10y)$

We need to change it in the form of Ax+By.

So, it becomes,

$x+6y-3x+10y\n\n=(x-3x)+(6y+10y)\n\n=-2x+16y$

Now, we will equate this with Ax+By:

By comparing the coefficient of x and y:

$-2x+16y=Ax+By\n\n\implies A=-2\n\nand\n\n\implies B=16$

Hence, the value of A is -2.

-2

becasue we

-2x-4y

-2 = A

Simplify 4 to the seventh power over 5 squared all raised to the third power.

Answers

The expression (4^7/5^2)^3 can be simplify as 4^21/5^6 and it is equal to 281,4774,976.70. This is computed using the rule of simplifying exponential terms. It states that when an exponential term is raised to another power the powers must be multiplied.

The area of a bathroom floor measures 2 yards by 3 yards and each custom tile that makes up the flooring is 1 1/2 square feet. How many tiles are needed to cover the floor?

Answers

The dimensions of the bathroom floor is given as 2 yards by 3 yards.
Then
The area of the bathroom floor in question = (2 * 3) square yards
   = 6 square yards
We already know that
1 square yard = 9 square feet
So
The area of the bathroom floor in question = (6 * 9) square feet
   = 54 square feet
Area covered by each custom tiles = 11/2 square feet
Then
Number of tiles required to cover the bathroom floor = 54/(11/2)
   = (54 * 2)/11
   = 108/11
   = 9.81
So the number of tiles required to cover the bathroom flooring is 10. Since fraction of tiles cannot be bought, so 10 tiles are required.

Solve the following system using a matrix.

7a - b = -1
-4a - 2b = -2

Answers

Answer:

a = 0, b = 1

Step-by-step explanation:

Given system equation is,

7a - b = -1

-4a - 2b = -2

Since, the matrix form of this system of equation is,

$\begin{bmatrix} 7& -1\n -4 & -2\end{bmatrix}\begin{bmatrix}a\nb\end{bmatrix}=\begin{bmatrix}-1\n -2\end{bmatrix}$

Let,

$A=\begin{bmatrix} 7& -1\n -4 & -2\end{bmatrix}$

$X=\begin{bmatrix}a\n b\end{bmatrix}$

$B=\begin{bmatrix}-1\n -2\end{bmatrix}$

$\because AX = B\implies X = A^(-1)B$

$adj(A) = \begin{bmatrix} -2& 1\n4& 7\end{bmatrix}$

Also,

|A| = -18

$\implies A^(-1)=-(1)/(18)\begin{bmatrix} -2& 1\n4& 7\end{bmatrix}$

$\implies X = -(1)/(18)\begin{bmatrix} -2& 1\n4& 7\end{bmatrix}.\begin{bmatrix}-1\n -2\end{bmatrix}$

$X=-(1)/(18)\begin{bmatrix}2-2\n -4-14\end{bmatrix}$

$X=-(1)/(18)\begin{bmatrix}0\n -18\end{bmatrix}$

$X=\begin{bmatrix}0\n 1\end{bmatrix}$

$\implies \begin{bmatrix}a\n b\end{bmatrix}=\begin{bmatrix}0\n 1\end{bmatrix}$

By comparing,

a = 0, b = 1

1. a=-1+b/7 is the right answer. First you had to add by b from both sides of equation, and it gave us, $7a-b+b=-1+b$ . And then simplify, and it gave us, $7a=-1+b$ . Divide by 7 from both sides of equation, and it gave us, $(7a)/(7)=-(1)/(7)+ (b)/(7)$ . Finally simplify, and it gave us the answer is a=-1+b/7 is the right answer.

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2. a=-b-1/2 is the right answer. First you had to add by 2b from both sides of equation, and it gave us, $-4a-2b+2b=-2+2b$ . And then simplify, and it gave us, $-4a=-2+2b$ . Next you can also divide by -4 from both sides of equation, and it gave us, $(-4a)/(-4)=-(2)/(-4)+(2b)/(-4)$ . Finally simplify, and it gave us the answer is a=-b-1/2 is the right answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie