Can someone please help me with this question??

Answer:

Equivalent expression:

a) -9

b) 3

c) 9

d) -3

Step-by-step explanation:

The Property of Additive Inverse states that the summation of a number and it's Additive inverse = 0

An Additive inverse of a positive integer is a negative integer and vice versa.

For example:

5 -5 = 0

The additive inverse of 5 = -5

For the question above, we are asked to use the additive inverses and their properties to find the equivalent expressions.

a) 6 -(-3)

Additive inverse = - 6 + (-3)

= -6 - 3 = - 9

b) -6 -3

Additive inverse = 6 +(-3)

= 6 - 3 = 3

c) 6 - 3

Additive inverse = 6 + 3

= 9

d) -6 - (-3)

Additive inverse = -6 + 3

= -3

Answer:

6 - (- 3)     arrow goes to 6 + 3

6 - 3         arrow goes to 6 +  (- 3)

- 6 - (- 3)  arrow goes to -6 + 3

- 6 - 3       arrow goes to - 6 + (- 3)

Answer:

(x, y) ⟶ (x + 4, y + 2)  

Step-by-step explanation:

If you shift a point four units to the right, x ⟶ x + 4.

If you shift it up two units, y ⟶ y + 2.

If you combine the two shifts into one transformation, the rule becomes

(x, y) ⟶ (x + 4, y + 2)

Answer: the correct answer is (D.) or (x, y) Right-arrow (x + 4, y + 2)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yesyesyesyeysyesyyesyeyyelja;eifjjkae

Answer:

A.

Step-by-step explanation:

-3x-7y = 10

In slope - intercept form

y = -3/7x - 10/7

Since the lines are parallel so the slopes will be equal

m = -3/7

Now

Point = (x,y) = (-5,-3)

So, x = -5, y = -3

Putting in slope intercept form to find b

y = mx+b

-3 = (-3/7)(-5) + b

-3 = 15/7 + b

7b = -21-15

7b = -36

b = -36/7

Now the slope intercept form for the line is

y = -3/7x-36/7

Answer:

8

Step-by-step exp8lanation:

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: square root of 500

Step-by-step explanation:

10 squared is 100

100 * the square root of 5 = the square root of 500.

Answer:

8/16

Step-by-step explanation:

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:

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:

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:

- segment GF and segment G prime F prime both pass through the center of dilation.

Step-by-step explanation:

The center of dilation (1, 1) is the same point that vertex F, then, both F and F' are located at (1, 1).

G is located at (-2, 1). After the dilation by a scale factor of one half, G' is located at (-0.5, 1), so that the distance between G' and F' is half the distance between G and F. Therefore, segment GF and segment G'F' both pass through the center of dilation.

Answer:

segment GF and segment G prime F prime both pass through the center of dilation.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The rule is, whenever you plug in g(x) into f(x) or vice versa, they always must equal x. So if you plugged in g(x) into f(x), then the outcome should be x. If the output is not x, then they are not inverses.

Answer: A. (-2,1)

Step-by-step explanation:

Just took the test! Hope this helps!

Answer:

It's A

Step-by-step explanation:

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

[tex]\text{Solve for d}\\\\0.2(d − 6) = 0.3d + 5 − 3 + 0.1d\\\\\text{Combine like terms:}\\\\0.2(d - 6) = 0.4d + 2\\\\\text{Use the distributive property:}\\\\0.2(d - 6) = 0.4d + 2\\\\0.2d-1.2=0.4d+2\\\\\text{Subtract 0.4d from both sides}\\\\-0.2d-1.2=2\\\\\text{Add 1.2 to both sides}\\\\-0.2d=3.2\\\\\text{Divide both sides by -0.2}\\\\\boxed{d=-16}[/tex]

Answer:

root 30

Step-by-step explanation:

10/x=x/3

x^2=30

x= root 30

Solution,

Cost price(CP)=Rs 400

Selling price (SP)=RS 380

loss percentage=?

Now,

Loss percentage=CP-SP/CP*100%

=400-380/400*100%

=20/400*100%

=5%

Hope it helps..

Good luck on your assignment

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:

The perimeter of the rectangle below is 202 units. Find the value of .

Answer:

the United States 2020 population is estimated at 331,002,651 people at mid year according to UN data. the United States population is equivalent to 4.25% of the total world population.

Answer:

x22.1135647

Step-by-step explanation:

7,010,000,000 divide 317,000,000 =22.1135647

Answer:

Don't take my word for this but I think the max groups he can do is 16 because that is the lowest amount of marbles.

Step-by-step explanation:

The greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 4.

GCF or greatest common factor is the common number which all the term has in a group of terms. It is the number which can divide each number of the group.

John has 24 blue, 96 green, 16 gray, 16 red and 32 white marbles. He wants to place them in identical groups without any marbles left over.

To find such identical groups, we have to find the greatest common factor of all these numbers. The factors of all the numbers are,

Here, the 2×2×2 is the common factor which is appears in all the terms.

[tex]2\times2\times2=8[/tex]

Thus, the greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 8.

Learn more about the GCF here;

https://brainly.com/question/219464

#SPJ2

Hey!!

(56-24)/8

=32/8

=4

The right answer is 4.

hope it helps

Good luck on your assignment

Answer:

x = 35°

Step-by-step explanation:

assuming that the straight line at the bottom of the figure is actually a straight line, that means all the angles along that straight line must add up to 180 °

i.e.

40 + (2x+30) + 40 = 180

40 + 2x+30 + 40 = 180

110 + 2x = 180  (subtract 110 from both sides)

2x = 180 - 110

2x = 70

x = 35

Answer:

x=35

Step-by-step explanation:

The 3 angles are on a straight line. A straight line is equal to 180 degrees. Therefore, the 3 angles are supplementary and add to 180 degrees.

40+2x+30+40=180

Combine like terms. Add all the terms on the left side without a variable.

2x+(40+30+40)=180

2x+110=180

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

110 is being added to 2x. The opposite of addition is subtraction. Subtract 110 from both sides.

2x+110=180-110

2x=180-110

2x=70

x is being multiplied by 2. The opposite of multiplication is division. Divide both sides by 2.

2x/2=70/2

x=70/2

x=35

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:

C

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= 5x - 2 + 2x + 1 ← collect like terms

= 7x - 1 → C

Answer:

it is C.

Step-by-step explanation:

Answer:

0, 1, and 4

Step-by-step explanation:

Since the denominator of a fraction must not be 0 or it would be undefined, when the denominator is 0 is where you will find your restrictions:

[tex]x^3-5x^2+4x=0 \\\\x(x^2-5x+4)=0 \\\\x(x-1)(x-4)=0[/tex]

Therefore, by the zero product property, the restrictions are 0, 1, and 4. Hope this helps!

Answer:

X cannot equal 0,1,4

Step-by-step explanation:

The restrictions are when the denominator goes to zero

x^3 -5x^2 +4x

Factor an x

x( x^2 -5x+4)

x( x-4) (x-1)

Set each term to zero

x=0  x-4 =0   x-1=0

x=0  x=4   x=1

X cannot equal 0,1,4

Answer:

3, 4

Step-by-step explanation:

do KFC or KCF doesn't matter you get the same answer

1/2 times 3/2 is 3/4

if you want to make sure it is correct multiply 3/4 by 2/3 and it gives you 1/2

Answer:

1/2 ÷ 2/3 = 1/2 × 3/2 = 3/4

Step-by-step explanation:

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