Is the following relation a function?

Answer:

The answer is the first option.

Step-by-step explanation:

When you flip it over the y axis. A would still be the same. ANd the first one matches A.

Answer:

x² - 2x - 8

Step-by-step explanation:

The notation (f·g)(x) means to multiply the two functions. Use the distributive property to simplify.

(f·g)(x) = (x+2)(x-4) = x² + 2x - 4x - 8 = x² - 2x - 8

Give me brainliest please

Answer:

x² - 2x - 8

Step-by-step explanation:

multiply (x+2)(x-4) to get x² - 2x - 8

Answer:

Step-by-step explanation:

The answer is C

Answer:trust me its c

Step-by-step explanation:

I took the test and aced it

Answer:

Given

Step-by-step explanation:

Question 1)

Answer is c) 12.94 units

Because,

The sides will be √20,√20 and 4 units, so you add them

You get √20 through Pythagorean theorem √(2^2 + 4^2)

= 4.47

Question 2)

Answer:

3x^2 + 4y^0 +x^-1

Substitute the values,

3*(4)^2 + 4*(5)^0 + (4)^-1

3*16 + 4*1 * 1/4

( Any number raised to 0 is 1

4^-1 = 1/4^1 )

= 49

Answer:

Option C

49

Step-by-step explanation:

sides of triangle:

P=4+4.47*2=12.94

Option C is correct

================

x=4, y=5

3x²+4y⁰×x⁻¹=3×4²+4×5⁰×4⁻¹=48+1=49

Answer:

(A) The M virus is larger than the P virus in diameter

(B) Diameter of virus M is 25 times the diameter of virus P

Step-by-step explanation:

Notice that the values given are in the so called "scientific notation", and which involves in this case negative exponents for the multiplier 10.

So we can write these values in decimal form for easier comparison of which one is he largest one:

Diameter of M virus = [tex]5\,*\,10^{-7}\,m = 0.0000005\,\,m[/tex]

Diameter of P virus = [tex]2\,*\,10^{-8}\,m = 0.00000002\,\,m[/tex]

Which clearly shows that virus M is larger than virus P in diameter

The quotient between diameters will give us the answer to how many times larger virus' M diameter is:

[tex]\frac{M}{P} =\frac{0.0000005}{0.00000002} \\\frac{M}{P} =25[/tex]

Answer:

The functions are not inverses because for each  ordered pair (x, y) for one function, there is no  corresponding ordered pair (y, x) for the other function.  

Step-by-step explanation:

In the figure attached, the tables are shown.

For example, in table A the pair (1, 1051.21) is present, but the pair (1051.21, 1) is not present in Table B. Therefore, the functions are not inverses.

Answer:

The answer is D

Step-by-step explanation:

Answer:

[tex]P(E_1 or E_2) = \frac{7}{12}[/tex]

Step-by-step explanation:

Given

Two cubes of side 1 - 6

Required

Probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5

First, the sample space needs to be listed;

Let [tex]C_r[/tex] represent the Red cube

[tex]C_b[/tex] represent the Blue cube

S represent the sample space

[tex]C_r = (1,2,3,4,5,6)\\C_b = (1,2,3,4,5,6)\\S = (2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12)[/tex]S is gotten by getting the sum of [tex]C_r[/tex] and [tex]C_b[/tex]

[tex]n(S) = 36[/tex]

Calculating the Probability

Let [tex]E_1[/tex] represent the event that an outcome is an odd sum

[tex]E_1 = (3,5,7,3,5,7,5,7,9,5,7,9,7,9,11,7,9,11)[/tex]

[tex]n(E_1) = 18[/tex]

[tex]P(E_1) = \frac{n(E_1)}{n(S)}[/tex]

[tex]P(E_1) = \frac{18}{36}[/tex]

Let [tex]E_2[/tex] represent the event that an outcome is a multiple of 5

[tex]E_2 = (5,5,5,5,10,10,10)[/tex]

[tex]n(E_2) = 7[/tex]

[tex]P(E_2) = \frac{n(E_2)}{n(S)}[/tex]

[tex]P(E_2) = \frac{7}{36}[/tex]

Let [tex]E_3[/tex] represent the event that an outcome is an odd sum and a multiple of 5

[tex]E_3 = E_1 and E_2[/tex]

[tex]E_3 = (5,5,5,5)[/tex]

[tex]n(E_3) = 4[/tex]

[tex]P(E_3) = \frac{n(E_3)}{n(S)}[/tex]

[tex]P(E_3) = \frac{4}{36}[/tex]

Calculating [tex]P(E_1 or E_2)[/tex]

[tex]P(E_1 or E_2) = P(E_1) + P(E_2) - P(E_1 and E_2)[/tex]

[tex]P(E_1 or E_2) = P(E_1) + P(E_2) - P(E_3)[/tex]

[tex]P(E_1 or E_2) = \frac{18}{36} + \frac{7}{36} - \frac{4}{36}[/tex]

[tex]P(E_1 or E_2) = \frac{18 + 7 - 4}{36}[/tex]

[tex]P(E_1 or E_2) = \frac{21}{36}[/tex]

[tex]P(E_1 or E_2) = \frac{7}{12}[/tex]

Hence, the probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5 is [tex]\frac{7}{12}[/tex]

Answer:

P=(E1 or E2) 7/12

Step-by-step explanation:

Answer:

y = [tex]\frac{5^{x} }{2}[/tex]

Step-by-step explanation:

y = log 5 2x

inverse ------> y=x

x = log 5 2y

[tex]5^{x} = 2y[/tex]

y = [tex]\frac{5^{x} }{2}[/tex]

Answer:

y = ([tex]5^{x}[/tex] )/2

Step-by-step explanation:

Hope This Helps!!

Answer:

12.57cm

Step-by-step explanation:

circumference =2^r

=2×22/7×2

=12.57cm

Answer:

C

Step-by-step explanation:

You take the fractions and turn them into mixed numbers. You do that by multiplying the whole number with the denominator and adding the numerator for the new numerator and the denominator stays the same. Now, you'd get -45/8 + 7/2. Change the denominator of the second one to 8 so you can add them, do this by multiplying the numerator and denominator by 4. Now you get -45/8 + 28/8. -45 +28 is -17 so your answer is -17/8. If you need it In mixed form, 8 goes into -17 2 times so you get -2 and the remainder 1/8 so -2 1/8.

Answer: The answer is C 5/8 yards

Step-by-step explanation:

Answer:

1.5

45

Step-by-step explanation:

The probability for each answer is 1/4

Each question has an expected value of 1.5 points.

The expected score of the test is 30*1.5= 45 points

Answer:

382.5 square inches

Step-by-step explanation:

The surface area of a 3D object is the sum of the area of all of the surfaces. Therefore, the surface area of this prism is:

[tex]9\cdot 13.5 + 2(\dfrac{1}{2} \cdot 10\cdot 9)+ 9\cdot 9 + 10\cdot 9= 382.5[/tex] square inches.

Hope this helps!

Answer: B or 52 degrees...

Step-by-step explanation:

Congruent means to have identical properties and because triangle PQR is congruent to triangle STU, their angles are also congruent.

In the theorem AAA, angle P is congruent to S, angle Q is congruent to T and angle R is congruent to U.

The sum of the angles in a triangle is 180 degrees and so you would do 180-86-42 which would get you to 52 degrees and that is the answer.

Answer:

He is wrong, because for 2 inches of height, the peice of wood for base has smaller width than the width required for the base Maurice wants to make.

Step-by-step explanation:

Length of wood = 18 inches

Width of wood = 12 inches

If height of the table is needed = 2 inches

2 inches are reduced from each side of the piece of wood.

The new measurement become:

Length of wood = 18 - 2 - 2 inches

Length of wood = 14 inches

Width of wood = 12 - 2 - 2

Width of wood = 8 inches

Maurice wants to make a table with following dimensions:

Base = [tex]10\frac{1}{2}\cdot10\frac{1}{2}[/tex]

which means

Length required = [tex]10\frac{1}{2} = \frac{21}{2}=10.5 inches[/tex]

Width required = [tex]10\frac{1}{2} = \frac{21}{2}=10.5 inches[/tex]

As width is greater than the width of the piece of wood , he cannot make a table of such dimension from it.

Answer:

4 am

Step-by-step explanation:

Answer:

4:00 AM

Step-by-step explanation:

15:00 + 13:00

28:00

24:00+4:00

00:00+4:00

4:00 AM

Answer:

- 22

Step-by-step explanation:

To find the y- intercept let x = 0 , that is

y = 0² + 10(0) - 22 = 0 + 0 - 22 = - 22 ← y- intercept

Answer:

313131 total books

Step By Step Explanation: We can use the equation 9.9%x=31000 and x represents the total number of books.

We could also convert this percent to a decimal by moving it two places to the left (0.99).

Nevertheless, we can divide both sides by 9.9% to find that the total number of books is 313131 books.

Answer:

3

Step-by-step explanation:

Answer:

1

From -2 to 0 there is 2, but from  1 to 3 there is also 2, so 2/2=1

Answer:

Quotient = (1 + b)/2b

Step-by-step explanation:

The term quotient implies the result after dividing a number or expression by another number or expression.

In other words,

Quotient = Dividend/Divisor

From the question, we understand that

Dividend = Number that is 1 greater than a number b

So,

Dividend = 1 + b

And

Divisor = Number that is twice as large as b...

So, Divisor = 2 * b

Divisor = 2b

Recall that:

Quotient = Dividend / Divisor

Quotient = (1 + b)/2b

Answer:

-2.5 and 2.5 compare to eachother on the number line because they are the exact same distance away from 0.

Step-by-step explanation:

0 is in the very middle and to get -2.5 you go to the left 2.5 paces but to get to +2.5 you go to the right 2.5 paces. Either way you have to move Exactly 2.5 paces either to the left or right depending on if you want a positive or negative.

Answer:

7x4

28

Step-by-step explanation:

Answer:

The correct answer is D. 28 miles

Step-by-step explanation:

Because 7 miles in 2 hrs so in 8 hrs it will be 28 miles.

Answer: B. A line is the set of all points in a plane at a given distance from a given point.  

Step-by-step explanation:

There is no step by step but hope it helps! :)

Answer:

three functions are

f(x) = 3(x + 4)^2 + 1

g(x) = 2x^2 - 16x + 15

h(x) = a(x - 1) - 3

Axis of symmetry for f(x) is x=-4 For g(x)

by taking the derivative

g'(x) = 4x - 16

= 4(x - 4)

The Axis of symmetry for g(x) is x=4

The Axis of symmetry for h(x) is x=1

hope it helps

Answer:

to calculate the number of protons and neutrons, you can look at the element on the periodic table. the number of protons is equal to the atomic number of the element (for example, hydrogen is the first element on the periodic table, so it has 1 proton).

The number of neutrons is the mass number (listed on the periodic table as well) - the number of protons, aka the atomic number.

for example, for the element krypton, we take the mass number, 83.80, and round it up to 84. Then we subtract it's atomic number, 36, from it, to get 48, which is the number of neutrons in the atom

Answer:

Option (D). 536.2 yd³

Step-by-step explanation:

Radius of the circular base of the cone = 8 yd

Height of the given cone = 8 yd

Formula for the volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base of the cone

h = height of the cone

By substituting the values of r and h in the formula,

V = [tex]\frac{1}{3}\pi (8)^2\times (8)[/tex]

   = [tex]\frac{1}{3}(512\pi )[/tex]

   = 526.165

   ≈ 526.2 yd³

Therefore, volume of the given cone is 526.2 yd³.

Option (D) will be the answer.

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

Total professors = 10

Probability of chemistry professors = 2/6 = 1/3

Answer:

(9,-5)

Step-by-step explanation:

Find the middle of each of the x and y coordinates. Then put that together.

Answer:

The correct answer is

(9, -5)

Find the middle of each of the x and y coordinates. Then you can plug in each x/y into a coordinate. This will get you the midpoint.

Hope I could help

- Quinn :)

Answer:

area 4.5

Step-by-step explanation:

C has the largest Area. It's area is 4.5

hope this helps

Answer:

C has the largest area.

Step-by-step explanation:

3x3=9, 9/2=4.5

Answer:

22 blue blocks

17 green blocks

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

There are five more blue blocks than green blocks.

So, the number of blue blocks (b) is equal to the number of green blocks (g) plus 5.

Three times the number of green blocks (3g), increased by double the (+2b) number of blue, equals 95.  

The system is  

b = g+5

3g+2b =95

Replacing b=g+5 in the second equation:

3g + 2 (g+5)=95

Solving for g:

3g +2g+10 =95

5g = 95-10

5g=85

g= 85/5

g= 17

Replacing g=17 in the first equation:

b = g+5

b = 17 +5

b=22