How does the graph below change between point A and point B
The graph increases.
The graph decreases.
The graph decreases, then increases.
The graph increases, then decreases.

How Does The Graph Below Change Between Point A And Point BThe Graph Increases.The Graph Decreases.The

Answers

Answer 1
I’m pretty sure it is d
Answer 2

The nature of the graph from point A to B : The graph increases, then decreases.

Given,

Graph is x -y coordinates.

Now,

Graph is concave downwards.

Coordinates of point A : (0,0)

Coordinates of point B : (6,0)

So,

The graph firstly increases from x = 0 to x = 3.

Then,

The graph decreases from x = 3 to x = 6 .

Therefore the graph increases and then decreases.

Thus option D is correct.

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Related Questions

Which inequality is represented by the graph?


A) y≥−12x+2.5

B) y>−2x+2.5

C) y≥−2x+2.5

D) y≤−2x+2.5

Answers

Answer: The answers C

Step-by-step explanation: Use Desmos to find it

Answer:

Option C.

Step-by-step explanation:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

From the given graph it is clear that the related line passes thorough the points (0,2.5) and (2,-1.5).

The equation of related line is

[tex]y-2.5=\frac{-1.5-2.5}{2-0}(x-0)[/tex]

[tex]y-2.5=\frac{-4}{2}(x)[/tex]

[tex]y-2.5=-2x[/tex]

Add 2.5 on both sides.

[tex]y-2.5+2.5=-2x+2.5[/tex]

[tex]y=-2x+2.5[/tex]

Th sign of inequality is either ≤ or ≥ because the related line is a solid line. It means the points on the line are included in the solution set.

Let the required inequality is

[tex]y\geq -2x+2.5[/tex]

(1,1) is included in the shaded region. So, the above inequality is true for (1,1).

[tex]1\geq -2(1)+2.5[/tex]

[tex]1\geq 0.5[/tex]

The assumed inequality is true for (1,1). So, the required inequality isn [tex]y\geq -2x+2.5[/tex].

Therefore, the correct option is C.

through(-3,0)and (0,3)

Answers

Answer:

Step-by-step explanation:

the  equation line passes through(-3,0)and (0,3)  is : y=ax+b

a is the slope   a = (3-0)/(0+3) = 1

so : y= x +b  calculate b  line passes through(-3,0)and (0,3)

x=0   y=3  : 3 = 0+b       so  b= 3

this equation is : y= x+3

Rosa has 412 punds of pizza dough. She uses 34
of a pound for one pizza. How many pizzas could be made from Rosa's dough?

Answers

12 pizzasssssssssssssssssss

explain how you would find how many 1 1/2 cup servings there are in a pot that contains 22 1/2 cups of soup.

Answers

Step-by-step explanation:

multiply the 1 1/2 by 2 to get 3.

find the closest number that is divisible by 3

3*7 is 21.

We now have to multiply 7 by 2 since we did that to our mixed number to get a whole number.

There is still a 1 1/2 left over. Simply add 1 to 14.

Answer:

15 servings

Step-by-step explanation:

Given,

Total number of cups = [tex]22\frac{1}{2}[/tex]

The number of cups required for each serving = [tex]1\frac{1}{2}[/tex]

Thus,

[tex]\text{The number of servings}=\frac{\text{Total cups}}{\text{cups required for each serving}}[/tex]

[tex]=\frac{22\frac{1}{2}}{1\frac{1}{2}}[/tex]

[tex]=\frac{\frac{45}{2}}{\frac{3}{2}}[/tex]

[tex]=\frac{45}{3}[/tex]

= 15

Brice had $73 and then he earned d more dollars. Write an expression that shows how much money he has now.

Answers

73+d
We don’t know what d equals so leave the variable, then just add the 73 he already had.

Answer:

73+d

We don’t know what d equals so leave the variable, then just add the 73 he already had.

Step-by-step explanation:

7. Below are the points that Jesse scored in each game during the basketball season.
12, 15, 14, 12, 4, 8
Which of the following values would increase his mean number of points scored? Choose all that apply.
13
10
08
12

Answers

Answer:

13, 12, and 11. Im on connexus and when i submitted it said those are the correct answers. Hope it helps! :)

Step-by-step explanation:

M
9. If LK = MK, LK = 7x-10, KN = x + 3, MN = 9x - 11. and KJ = 28, find L.
LK: 7-10 kn +3 INOX
LJ = LK + KJ
LJ= 7x 28
LJ = 78+ 38

Answers

The exact value of [tex]\( L \) is \(-\frac{44}{3}\).[/tex]

To find [tex]\( x \)[/tex], we need to use the fact that [tex]\( LK = MK \)[/tex] and apply the given values and equations.

1. Set up the equation for [tex]\( LK \)[/tex] and [tex]\( MK \):[/tex]

Since [tex]\( LK = MK \),[/tex] we can write:[tex]\[LK = MK\][/tex]

Given:

[tex]\[LK = 7x - 10\][/tex][tex]\[MK = KN + MN\][/tex]

2. Substitute the given expressions:

[tex]\[MK = KN + MN\][/tex][tex]\[MK = (x + 3) + (9x - 11)\][/tex][tex]\[MK = x + 3 + 9x - 11\][/tex][tex]\[MK = 10x - 8\][/tex]

3. Set up the equation [tex]\( LK = MK \)[/tex]

[tex]\[7x - 10 = 10x - 8\][/tex]

4. Solve for [tex]\( x \):[/tex]

[tex]\[7x - 10 = 10x - 8\][/tex][tex]\[-10 + 8 = 10x - 7x\][/tex][tex]\[-2 = 3x\][/tex][tex]\[x = -\frac{2}{3}\][/tex]

5. Find [tex]\( L \):[/tex]

With [tex]\( x = -\frac{2}{3} \), substitute \( x \) into the expression for \( LK \):[/tex][tex]\[LK = 7x - 10\][/tex][tex]\[LK = 7 \left(-\frac{2}{3}\right) - 10\][/tex][tex]\[LK = -\frac{14}{3} - 10\][/tex]

Convert 10 to a fraction:

[tex]\[LK = -\frac{14}{3} - \frac{30}{3}\][/tex][tex]\[LK = -\frac{44}{3}\][/tex]

Thus, [tex]\( L \)[/tex] would be [tex]\(-\frac{44}{3}\)[/tex], assuming [tex]\( L \)[/tex] represents the value of [tex]\( LK \).[/tex]

The complete question is:

If LK = MK, LK = 7x-10, KN = x + 3, MN = 9x - 11. and KJ = 28, find L.

Suppose that y is directly proportional to x, and y = 6 when x = 54. What is the constant of proportionality?

A) 1/9
B) 1/6
C) 6
D) 9

Answers

Answer:

C

Step-by-step explanation:

Answer:  The correct option is

(A) [tex]\dfrac{1}{9}.[/tex]

Step-by-step explanation:  Given that y is directly proportional to x, and y = 6 when x = 54.

We are to find the constant of proportionality.

According to the given information, we can write that

[tex]y\propto x\\\\\Rightarrow y=kx~~~~~~~~~~~[\textup{where k is the constant of proportionality}]\\\\\Rightarrow k=\dfrac{y}{x}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

When y = 6 and x = 54, then from equation (i), we get

[tex]\dfrac{6}{54}=k\\\\\Rightarrow k=\dfrac{1}{9}.[/tex]

Thus, the required value of the constant of proportionality is [tex]\dfrac{1}{9}.[/tex]

Option (A) is CORRECT.

Triangle ABC has a perimeter of 12 units. The vertices of the triangle are A(x,2), B(2,-2), and C(-1,2). Find the value of x.

Answers

Answer:

The value of x is 2

Step-by-step explanation:

* Lets explain how to find a distance between 2 points

- If the endpoints of a segment are [tex](x_{1},y_{1})[/tex] and

 [tex](x_{2},y_{2})[/tex] is [tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

- Triangle ABC has a perimeter of 12 units

∵ The perimeter of any triangle is the sum of lengths of its sides

∴ P Δ ABC = AB + BC + AC

* Lets find the length of the three sides

∵ A = (x , 2) , B = (2 , -2) , C = (-1 , 2)

∵ [tex]AB=\sqrt{(2-x)^{2}+(-2-2)^{2}}[/tex]

∴ [tex]AB=\sqrt{(2-x)^{2}+(-4)^{2}}[/tex]

∴ [tex]AB=\sqrt{(2-x)^{2}+16}[/tex]

∵ [tex]BC=\sqrt{(-1-2)^{2}+(2--2)^{2}}[/tex]

∴ [tex]BC=\sqrt{(-3)^{2}+(4)^{2}}[/tex]

∴ [tex]BC=\sqrt{9+16}[/tex]

∴ [tex]BC=\sqrt{25}[/tex]

∴ BC = 5

∵ [tex]CA=\sqrt{(x--1)^{2}+(2-2)^{2}}[/tex]

∴ [tex]CA=\sqrt{(x+1)^{2}+(0)^{2}}[/tex]

∴ [tex]CA=\sqrt{(x+1)^{2}}[/tex]

- The √ is canceled by power 2

∴ CA = (x + 1)

∵ AB + BC + CA = 12

∴ [tex]\sqrt{(2-x)^{2}+16}[/tex] + 5 + (x + 1) = 12

- Add 5 and 1

∴ [tex]\sqrt{(2-x)^{2}+16}[/tex] + 6 + x = 12

- subtract 6 and x from both sides

∴ [tex]\sqrt{(2-x)^{2}+16}[/tex] = (6 - x)

- To cancel (√ ) square the two sides

∴ (2 - x)² + 16 = (6 - x)²

- Simplify the two sides

∴ [(2)(2) + (2)(2)(-x) + (-x)(-x)] + 16 = (6)(6) + (2)(6)(-x) + (-x)(-x)

∴ 4 - 4x + x² + 16 = 36 - 12x + x²

- Subtract x² from both sides

∴ 20 - 4x = 36 - 12x

- Add 12x to both sides and subtract 20 from both sides

∴ 12x - 4x = 36 - 20

∴ 8x = 16

- Divide both sides by 8

∴ x = 2

* The value of x is 2

Draw segment EF so that is bisects RS. Mark their intersection appoint A

Answers

Step-by-step explanation:

EF is a segment so it's a line with the end points as E and F. Line RS bisects(cuts in half) line EF. Then where the two lines meet is where A is.

Hope this helped.

EF is a segment so it's a line with the end points as E and F. Line RS bisects(cuts in half) line EF. Then where the two lines meet is where A is.

To draw segment EF so that it bisects segment RS and mark their intersection point A, follow these steps:

Draw segment RS. This will be your starting line segment.

Find the midpoint of segment RS. To do this, measure the length of RS and mark the point that is exactly halfway between R and S. Let's call this point M.

Draw a straight line segment EF that passes through point M. This line segment will bisect segment RS.

Where segment EF intersects segment RS, mark the point of intersection as point A.

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Solve the inequality -5(3x+4)<6-3x​

Answers

Answer:

x>-13/6

Step-by-step explanation:

First you multiply inside the bracket by -5 on left side. You get

-15x-20<6-3x

Then you place the like terms on same sides for which you add 3x to both side to get rid of 3x from right side and you add 20 to both sides to get ride of 20 from left side

-15x+3x<20+6

then you solve for x

-12x<26

x<-26/12

x> -13/6 (the inequality sign changes due to multiplication by a negative number)

a has a coordinate (-2,4). B has a coordinate (9,11). find the coordinate of point p has a p that partion AB into a ratio 3:4

Answers

Answer:

see explanation

Step-by-step explanation:

Using the Section formula, then

[tex]x_{P}[/tex] = [tex]\frac{3(9)+4(-2)}{3+4}[/tex] = [tex]\frac{27-8}{7}[/tex] = [tex]\frac{19}{7}[/tex]

and

[tex]y_{P}[/tex] = [tex]\frac{3(11)+4(4)}{3+4}[/tex] = [tex]\frac{33+16}{7}[/tex] = [tex]\frac{49}{7}[/tex] = 7

Hence

P = ( [tex]\frac{19}{7}[/tex], 7 )

Giving 15 points help
Image:

Answers

Answer: To find out the unlabeled one on the inside subtract 180- 123, then you Get 57. Now do 180 = 57 + x +

92. Add up the whole numbers to get 180 = 149 + x now subtract 149 from 180, to get 31 and it equals x TADA

Step-by-step explanation:

Draw a model. Then, write the numerical expressions.
a. The difference between 8 forty-sevens and 7 forty-sevens
b. 6 times the sum of 12 and 8

Answers

Answer with Step-by-step explanation:

a. The difference between 8 forty-sevens and 7 forty-sevens

Let ⊕ repesents forty- sevens.

So, Model can be represented by

8⊕ - 7⊕

=⊕⊕⊕⊕⊕⊕⊕⊕-⊕⊕⊕⊕⊕⊕⊕

=⊕

Mathematically,

let x represents forty-sevens.

So, it becomes

[tex]8x-7x=x[/tex]

b. 6 times the sum of 12 and 8.

Mathematically, it is expressed as

[tex]6\times (12+8)\\\\=6\times 20\\\\=120[/tex]

Let 12 be written as 4×3

and 8 be written as 4×2

Let ⊕ represents 4 i.e. fours.

so, there are sum of 2 fours and 3 fours.

So, it becomes,

6×(⊕⊕+⊕⊕⊕)

=6×(⊕⊕⊕⊕⊕)

=⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕

=4×30

=120

Answer:

thanks

Step-by-step explanation:

Homeowners are building a square closet in a rectangular room that is 24 feet long and 18 feet wide. They want the remaining floor area to be at least 400 square feet. Because they don’t want to cut any of the 1 foot by 1 foot square floor tiles, the side length of the closet floor should be a whole number of feet. Make a table showing possible side lengths of the closet floor and the remaining area for each side length.​

Answers

Answer: i can't speak english

Step-by-step explanation:

Is this statement true or false?
To find the mode of a list of numbers, arrange the numbers from smallest to largest
Select the correct answer.
false
true

Answers

The mode is the number which appears the most from your group of numbers. You don’t need to arrange the numbers specifically but it does help

Gustavo wants to buy more than two sandwiches at the city fair. There are three sandwich stands, and each is offering a different deal.

Benny's Sandwiches 4 sandwiches for $5.00
ABC Sandwiches, Inc. 4 sandwiches for $6.00
Sandwich Hut 1 sandwich for $2.00 *Buy 1, get 1 Free*

Answers

Answer:

sandwich hut is the best deal (what's the question????)

Step-by-step explanation:

because sandwich hut is buy one get one free, one sandwich costs $1.00 ($2 divided by 2 sandwiches)

Benny's costs $1.25 per sandwich ($5 divided by 4 sandwiches)

ABC costs $1.50 per sandwich ($6 divided by 4 sandwiches)

Answer:

Sandwich hut is the best deal.

Step-by-step explanation:

Find the unit rate of each stand, and you find which one is the best deal.

Convert 0.00049 to scientific notation.

Answers

Answer:

4.9 x 10^-4 is the scientific notation

Move the decimal 4 places from left to right

Answer:

[tex]\displaystyle 4,9 \times 10^{-4}[/tex]

Step-by-step explanation:

[tex]\displaystyle 0,00049 = 4,9 \times 10^{-4}[/tex]

You move the decimal mark four times to the left.

I am joyous to assist you anytime.

Lucy earns money babysitting. Her earnings and hours worked represent a direct variation. She worked for 4 hours and earned $25.

Determine the constant of proportionality for dollars earned per hour worked

Determine the constant of proportionality for hours worked per dollar earned.

Answers

Final answer:

The constant of proportionality for dollars earned per hour worked is 6.25, and the constant of proportionality for hours worked per dollar earned is 0.16.

Explanation:

To find the constant of proportionality for dollars earned per hour worked, we can use the formula y = kx, where y is the amount earned and x is the number of hours worked. Given that Lucy earned $25 for 4 hours of work, we can substitute these values into the equation:

25 = k * 4

Solving for k, we divide 25 by 4:

k = 25 / 4 = 6.25

Therefore, the constant of proportionality for dollars earned per hour worked is 6.25.

To find the constant of proportionality for hours worked per dollar earned, we can rearrange the equation to x = my, where x is the number of hours worked and y is the amount earned. Substituting the values, we get:

4 = m * 25

Solving for m, we divide 4 by 25:

m = 4 / 25 = 0.16

Therefore, the constant of proportionality for hours worked per dollar earned is 0.16.

the sum of one and the product of a number and two is thirteen

Answers

Answer:

1+2x=13

Step-by-step explanation:

the sum of= +

one=1

products of a number and 2= 2x

equals= =

thriteen=13

Put them all together:

1+2x=13

(2x - 3) + [4x(3x + 2)] what is the answer

Answers

Answer:

22x-3

Step-by-step explanation:

(2x-3)+[4x(3x+2)]

(2x-3)+12x+8x

2x-3+20x

12x^2

2x -3 + 12x^2 + 8x
12x^2 +10x - 3

a certain fish can swim 6 1/3 times faster than a person. if a person swims 5 7/8 miles per hour, how fast can the fish swim?

Answers

Answer: 37.2204mph

Step-by-step explanation: First, I converted 5 7/8 into 5.88 then I converted  6 1/3 into 6.33 and then multiplied the two then I got my answer.

Answer:

37 5/24 mph

Step-by-step explanation:

You need to multiply the numbers. First, convert them into fractions.

6 1/3 * 5 7/8 =

= (6 + 1/3) * (5 + 7/8)

= (6/1 + 1/3) * (5/1 + 7/8)

= (18/3 + 1/3) * (40/8 + 7/8)

= (19/3) * (47/8)

= 893/24

= 37 5/24

Dr. Mann mixed 10.357 g of chemical a 12.062 g of chemical B and 7.506 g of chemical see to make five doses of medicine

Answers

Answer:

Part a) The estimate amount of medicine is 30.0 grams

Part b) The actual amount of medicine is 29.925 g. The difference between the  estimate and the actual amount, is 0.075 g

Part c) 5.985 grams

Part d) 6 grams

Step-by-step explanation:

The complete question is

Dr. Mann mixed 10.357 g of chemical A, 12.062 g of chemical B, and 7.506 g of chemical C to make 5  doses of medicine.

a. About how much medicine did he make in grams? Estimate the amount of each chemical by  rounding to the nearest tenth of a gram before finding the sum. Show all your thinking.

b. Find the actual amount of medicine mixed by Dr. Mann. What is the difference between your  estimate and the actual amount?

c. How many grams are in one dose of medicine? Explain your strategy for solving this problem.

d. Round the weight of one dose to the nearest gram

Part a) round  to the nearest tenth of a gram first

Chemical A

10.357 g -----> 10.4 g

Chemical B

12.062 g -----> 12.1 g

Chemical C

7.506 g -----> 7.5 g

To find out the estimate amount of medicine sum the three values

10.4+12.1+7.1=30.0 g

therefore

The estimate amount of medicine is 30.0 grams

Part b)

The actual amount of medicine is

10.357+12.052+7.506=29.925 g

To find out the difference between your  estimate and the actual amount, subtract the actual amount from the estimate

30.0-29.925=0.075 g

Part c) To find out how many grams are in one dose of medicine, divide the actual amount of medicine by five

29.925 g/5=5.985 g

Part d) Round the weight of one dose to the nearest gram

we have

5.985 g ------> 6 g

Which statement is true? A. 13/14 > 25/28 B. 21/45 < 4/9 C. 5/6 > 11/12 D. 4/5 < 8/25

Answers

Rewrite the fractions with common denominators and then answer:

A:

13/14 > 25/28

26/28 > 25/28    

This is True

B) 21/45 < 20/45  False

C) 10/12 > 11/12

False

D) 20/25 < 8/25

False

The true statement is A.

At Santa Maria High School the juniors an
are selling raffle tickets. So far, the juniors
solved 580 tickets and are averaging 29 tickets
day. The seniors have sold 490 tickets but vow to
win the contest by selling an average of 35 tickets
per day. If both grades continue collecting at these
rates, after how many days will the number of
tickets sold be equal?​

Answers

Answer: 580+29x = 490 + 35x

90 = 6x

15 = x

15 days is your answer

Step-by-step explanation:

I need help with number 5

Answers

Answer:

-14 *F

Step-by-step explanation:

-3 minus 11 is -14

hope this helps

Hey!

-------------------------------------------------

[tex]\large\boxed{A) -14~degrees~fahrenheit}[/tex]

-------------------------------------------------

Steps To Solve:

~Create an equation

-3 - 11

~Subtract

-14

-------------------------------------------------

Hope This Helped! Good Luck!

1 pound is now many grams

Answers

The answer is "453.592 grams." One pound does indeed equal 453.592 in grams.

Hope this helps.

Complete each of the statements.

Answers

Answer:

Complete each of the statements below.

When work is done on a system by its surroundings, the sign of w is                           [ Select ]                       ["positive", "negative"]         .

When work is done by a system on its surroundings, the sign of w is                           [ Select ]                       ["negative", "positive"]         .

When q has a negative sign, we can say that heat is transferred                           [ Select ]                       ["from", "into"]         the system                            [ Select ]                       ["from", "into"]         its surroundings.

If ∆U for a system is 0 and w is negative, then q must be                           [ Select ]                       ["positive", "negative"]         .

Step-by-step explanation:

1. Expression 1: [tex]\((3x^2 - 6x + 11) \cdot (10x^2 - 4x + 6)\)[/tex]:[tex]\[30x^4 - 72x^3 + 34x^2 - 44x + 66\][/tex]

2. Expression 2: [tex]\((-3x^2 - 5x + 3) \cdot (-10x^2 - 7x + c)\)[/tex]:[tex]\(30x^4 + 71x^3 + 5x^2 - 21x + 3c\).[/tex]

3. Expression 3: [tex]\((12x^2 + 6x - 5) \cdot (5x^2 + 8x - 12)\)[/tex]: [tex]\(60x^4 + 126x^3 + 53x^2 + 40x - 60\).[/tex]

the expressions step by step:

1. Expression 1: [tex]\((3x^2 - 6x + 11) \cdot (10x^2 - 4x + 6)\)[/tex]

  To multiply these two expressions, we'll use the distributive property (also known as the FOIL method). Multiply each term in the first expression by each term in the second expression and then combine like terms.

  - Multiply the first terms: [tex]\(3x^2 \cdot 10x^2 = 30x^4\)[/tex]

  - Multiply the outer terms: [tex]\(3x^2 \cdot (-4x) = -12x^3\)[/tex]

  - Multiply the inner terms: [tex]\((-6x) \cdot 10x^2 = -60x^3\)[/tex]

  - Multiply the last terms: [tex]\((-6x) \cdot (-4x) = 24x^[/tex]2\)

  Now add up all the results:

  [tex]\[30x^4 - 12x^3 - 60x^3 + 24x^2 + 11 \cdot 10x^2 - 11 \cdot 4x + 11 \cdot 6\][/tex]

  Combine like terms:

[tex]\[30x^4 - 72x^3 + 34x^2 - 44x + 66\][/tex]

So, the equivalent expression is:[tex]\(30x^4 - 72x^3 + 34x^2 - 44x + 66\)[/tex].

2. Expression 2: [tex]\((-3x^2 - 5x + 3) \cdot (-10x^2 - 7x + c)\)[/tex]

  Follow the same steps as above to multiply the expressions:

  - Multiply the first terms: [tex]\((-3x^2) \cdot (-10x^2) = 30x^4\)[/tex]

  - Multiply the outer terms: [tex]\((-3x^2) \cdot (-7x) = 21x^3\)[/tex]

  - Multiply the inner terms: [tex]\((-5x) \cdot (-10x^2) = 50x^3\)[/tex]

  - Multiply the last terms: [tex]\((-5x) \cdot (-7x) = 35x^2\)[/tex]

  Combine the results:

[tex]\[30x^4 + 21x^3 + 50x^3 + 35x^2 + 3 \cdot (-10x^2) + 3 \cdot (-7x) + 3c\][/tex]

  Combine like terms:

[tex]\[30x^4 + 71x^3 + 35x^2 - 30x^2 - 21x + 3c\][/tex]

  Simplify further:

[tex]\[30x^4 + 71x^3 + 5x^2 - 21x + 3c\][/tex]

  So, the equivalent expression is: [tex]\(30x^4 + 71x^3 + 5x^2 - 21x + 3c\).[/tex]

3. Expression 3: [tex]\((12x^2 + 6x - 5) \cdot (5x^2 + 8x - 12)\)[/tex]

  Apply the same process:

  - Multiply the first terms:[tex]\(12x^2 \cdot 5x^2 = 60x^4\)[/tex]

  - Multiply the outer terms: [tex]\(12x^2 \cdot 8x = 96x^3\)[/tex]

  - Multiply the inner terms:[tex]\(6x \cdot 5x^2 = 30x^3\)[/tex]

  - Multiply the last terms:[tex]\(6x \cdot 8x = 48x^2\)[/tex]

  Combine the results:

  [tex]\[60x^4 + 96x^3 + 30x^3 + 48x^2 + 5 \cdot 5x^2 + 5 \cdot 8x - 5 \cdot 12\][/tex]

  Combine like terms:

  [tex]\[60x^4 + 126x^3 + 53x^2 + 40x - 60\][/tex]

  The equivalent expression is: [tex]\(60x^4 + 126x^3 + 53x^2 + 40x - 60\).[/tex]

a furniture store sells 48 tables for every 60 chairs in a given week. what is the unit rate of tables to chairs? reduce the unit rate.

Answers

Answer:

4:5

Step-by-step explanation:

You can divide both numbers by 12, therefore simplifying the numbers to the lowest they can be

Answer:

Ratio of table to chair : [tex]\frac{4}{5}[/tex].

Step-by-step explanation:

Given : furniture store sells 48 tables for every 60 chairs in a given week.

To find : what is the unit rate of tables to chairs.

Solution: We have given

Table = 48 .

Chair = 60 .

Ratio of table to chair : [tex]\frac{48}{60}[/tex].

On dividing both number by 4

Ratio of table to chair : [tex]\frac{12}{15}[/tex].

On dividing both number by 3

Ratio of table to chair : [tex]\frac{4}{5}[/tex].

Therefore, Ratio of table to chair : [tex]\frac{4}{5}[/tex].

A horse began running due east and covered 25 km in 4.0 hr. What is the average
velocity of the horse?

Answers

Answer:

6.25 km an hour

please mark brainliest

Step-by-step explanation:

Answer:

Average velocity = 6.25 km/h

Step-by-step explanation:

Given  : A horse began running due east and covered 25 km in 4.0 hr.

To find :  What is the average velocity of the horse.

Solution : We have given

Displacement  = 25 km

Time = 4 hr.

Velocity = [tex]\frac{Total\ displacement}{time}[/tex].

Velocity = [tex]\frac{25}{4}[/tex].

Average velocity = 6.25 km/h

Therefore, Average velocity = 6.25 km/h

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