Simplify the expression
6x^2+20/4

Answer:

Part A) The graph in the attached figure

Part B) see the explanation

Step-by-step explanation:

Part A) Graph the function

we have the quadratic function

[tex]y=3x^2-12x-36[/tex]

This is a vertical parabola open upward

The vertex is a minimum

using a graphing tool

The graph in the attached figure

Part B) What are the values of a, b and c?

we know that

The values of a and b represent the x-intercepts of the quadratic equation

The x-intercepts are

(-2,0) and (6,0)

so

[tex]a=-2\\b=6[/tex]

Find the value of c

we know that

The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots

so

The value of c is equal to

[tex]c=\frac{a+b}{2}[/tex]

substitute the given values

[tex]c=\frac{-2+6}{2}=2[/tex]

see the attached figure

There 15 large boxes of popcorn were sold. The option D is correct.

We need to determine the number of large boxes of popcorn sold. Let's denote the number of small boxes as s and the number of large boxes as l. We are given the following information:

The cost of a small box of popcorn is $1.50.

The cost of a large box of popcorn is $4.00.

A total of 25 boxes of popcorn were sold.

The total revenue from popcorn sales was $75.00.

We can set up two equations based on this information:

s + l = 25 (the total number of boxes sold)

1.50s + 4.00l = 75.00 (total revenue from sales)

Let's solve for l using these equations. Multiplying the first equation by 1.50 gives us:

1.50s + 1.50l = 37.50

Subtracting this from the second equation:

(1.50s + 4.00l) - (1.50s + 1.50l) = 75.00 - 37.50

2.50l = 37.50

l = 37.50 / 2.50

l = 15

Hey there!

This is slope intercept form, where y=mx+b, where b is the y-intercept (where the line hits the y-axis) and the slope (rate of change).

If you wanted to graph this line, we can see that the y intercept in 35. Therefore, our line is going have one point on (0,35). Our slope is 15, which is positive, showing that our line will go up. Because the slope is fifteen, for every single increase of 1 there is in x, there will be an increase of 15 in y. This will give us points like (1,15) (2,30) (3,45). Therefore, this will be a very steep line.

You can use this info to graph your line.

Answer:

PLS PASS BRAINLIEST

Step-by-step explanation:

put the first point on 35 on y axis

now count 15 from 35 which is 50 and move one to the right

which is (50,1)

and keep on reapeting that

Answer:

The length of AE is 39 units.

Step-by-step explanation:

Given:

G is the centroid of a triangle ABC.

Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments AE, BF, and CD.

The length of line segment A G is 2 x + 10, the length of line segment F G is 2 x minus 1, and the length of line segment G B is 3 x + 6

To Find: Length of the AE.

The centroid of the triangle is always cut the line in the ratio of 2:1. For clarification, the image is provided.

Hence,

G divides the line BF into a 2:1 ratio.

Thus,

[tex]\begin{aligned}&2FG=BG\\&2(2x-1)=3x+6\\&4x-2=3x+6\\&x=8 \end{aligned}[/tex]

Also,

G divides the line AE into a 2:1 ratio.

Therefore,

[tex]AG=2GE\\GE=AG/2[/tex]

Line segment AE is the sum of AG and GE.

Thus,

[tex]AE=AG+GE\\AE=AG+AG/2\\AE=3AG/2\\AE=3(2x+10)/2\\AE=39[/tex]

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The length of AE is 9 units.

Given that G is the centroid, it divides each median into two segments with the ratio of 2:1, where the longer segment is toward the vertex and the shorter segment is toward the midpoint of the opposite side.

Let's denote the length of AG as a, the length of BG as b, and the length of FG as c. According to the given information:

1. AG = 2x + 10

2. FG = 2x - 1

3. BG = 3x + 6

We know that AG = 2GE and BG = 2GE. Thus:

[tex]\[ AG = 2GE \implies GE = \frac{AG}{2} = \frac{2x + 10}{2} = x + 5 \]\[ BG = 2GE \implies GE = \frac{BG}{2} = \frac{3x + 6}{2} = \frac{3}{2}x + 3 \][/tex]

Since GE is common, we can equate the expressions:

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

Solving for x:

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

x = 4

Now that we've found the value of x, we can substitute it back into the expressions for AG and FG to find their lengths:

AG = 2x + 10 = 2(4) + 10 = 18

FG = 2x - 1 = 2(4) - 1 = 7

Now, we know that AE = AG - GE:

AE = AG - GE = 18 - (x + 5) = 18 - (4 + 5) = 18 - 9 = 9

So, the length of AE is 9 units.

Answer:

Step-by-step explanation:2x=145-15

2x=130

X=130/2

X=65

Answer: the man is 58!

Step-by-step explanation: please mark brainliest

we could use this equation

168=400-4a         an a= uknown age

-400     -400

-232=-4a

divide by -4 on both sides to get the variable by itself

58=a

a=58

and to double check we can do this

168=400-4(58)     by susbtuting the variable

168=400-232

168=168     correct

Answer:

A 33°

Step-by-step explanation:

Complementary angle of 57° = 90° - 57° = 33°

Both expressions (20 – 4) – 2 and 20 – (4 – 2) are equivalent, simplifying to 14. The equivalence exemplifies the Associative Property of Addition.

The question asks to determine whether the two expressions (20 – 4) – 2 and 20 – (4 – 2) are equivalent, and if so, to identify the property applied. To determine equivalence, we need to simplify both expressions. The first expression, (20 – 4) – 2, simplifies to 16 – 2 which equals 14. The second expression, 20 – (4 – 2), simplifies to 20 – 2 which also equals 14. Therefore, both expressions are equivalent, and the property applied here is the Associative Property of Addition, which allows us to change the grouping of the numbers we're adding (or subtracting, in this case) without changing the result.

Answer:

what region

Step-by-step explanation:

Answer:

(8, 2) OR (x + 3, y - 1)

Step-by-step explanation:

Step 1:  Add 3 to 5 and subtract 1 from 3

(5 + 3, 3 - 1)

(8, 2) OR (x + 3, y - 1)

Answer:  (8, 2) OR (x + 3, y - 1)

Answer:

15 units

Step-by-step explanation:

The picture of the question in the attached figure

we know that

Triangle XYZ is a right triangle, because segment ZY is tangent to circle X at point Y

so

Applying the Pythagorean Theorem

[tex]XZ^2=XY^2+ZY^2[/tex]

we have

[tex]XZ=8+9=17\ units\\XY=8\ units[/tex]

substitute the given values

[tex]17^2=8^2+ZY^2[/tex]

[tex]ZY^2=289-64\\ZY^2=225\\ZY=15\ units[/tex]

Answer:

15

Step-by-step explanation:

Answer:

A centimeter is 100 times the length of a meter.

A kilometer is 1,000 times the length of a meter.

The statement that asserts a true claim would be:

B). A kilometer is [tex]1,000[/tex] times the length of a meter.

Metric System

Find out more information about "mathematical units" here:

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Answer:

Step-by-step explanation: first multiply 342 and 135

then put the decimal just before the ones digit.

answer is

4617.0

please mark  as brainliest

five acute angles: the rest of this text does not matter.

Step-by-step explanation:

Diameter of pizza = 12 inch

Therefore, radius r = 6 inch

[tex]Area \: of \: entire \: pizza \\ = \pi {r}^{2} \\ = 3.14 \times {6}^{2} \\ = 3.14 \times 36 \\ = 113.04 \: {inch}^{2} \\ \\ amount \: of \: calories \: in \: entire \: pizza \\ = area \: of \: pizza \\ \times calories \: per \: square \: inch \\ = 113.04 \times 22 \\ = 2,486.88 \\ [/tex]

48=4x can be used to determine the miles covered by Trisha that is 12 miles.

Total distance covered comprises the sum of distances covered by individual entities. Sum means adding like terms in mathematics.

Given, the total number of miles covered by both of them, t= 48 miles

If miles covered by Trisha = x

Then, miles covered by Brandy = 3x (as Brandy drove three times as far as Trisha ).

The total distance covered comprises miles covered by Trisha as well as Brandy.

t=x+3x

On adding the like terms.

t=4x

Substituting t=48,

48=4x

Dividing 4 both sides of the equation,

48/4=4x/4

12=x

x=12 miles

So, the Number of miles Trisha drove is 12.

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Answer:

A

Step-by-step explanation:

The cookies ordered is the dependent quantity/variable because the other variables don't depend on anything that is quantifiable.

The dependent quantity in this functional relationship is A. The number of cookies ordered.

A dependent quantity simply refers to the quantity that depends on another quantity or is determined by another quantity.

Based on the information given, the dependent quantity in this functional relationship is the number of cookies ordered since it depends on other factors such as the number of trays and students.

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Answer:

6x-15 = 4x+12

Step-by-step explanation:

3*2x = 6x

3*-5 = -15

4*x=4x

4*3=12

6x-15 = 4x+12

Answer:

6x - 15 = 4x + 12

Explanation:

Simplify 3 * 2x = 6x. 3 * -5 =  -15. 4 * x = 4x. And 4 * 3 = 12. Then just put 'em together! :D

Answer:

HE will have 10 fingers

Step-by-step explanation:

The equation of inequality would be = 2 x + y ≤ 10 for the process of purchase.

Explanation:

Total amount of money tony have , T = $10

Thus the cost of apple, (We can represent as Ca) = $2

Also the cost of banana,(We can represent as  Cb) = $1

Let x be the number of apples bought

Let y be the number of bananas bought

Total expenditure to buy fruits, E = $2 x + $1 y

So,The equation of inequality would be = 2 x + y ≤ 10 for the process of purchase.

Answer:

S=21

Step-by-step explanation:

First cross multiply, next divide. I hope this helped!

Answer: S = 12

Step-by-step explanation:

S/84 =3/21

Cross multiply to find the value of S

21 x S= 84 x 3

21S= 252

S= 252/21

S= 12

Answer:

12% decrease

Step-by-step explanation:

think of 1000 as 100% and thin 880 as 88% subtract those 12%

The price decrease from $1000 to $880 represents a 12% decrease. This is figured out by taking the difference in price, dividing it by the original price, and then multiplying by 100%.

The percentage decrease is calculated by taking the difference in price divided by the original price, and then multiplying by 100 to get a percentage. In this case, the difference in price is the original price minus the sale price. This would be $1000 - $880 = $120. So, the formula would be ($120/$1000)*100. The calculated percentage decrease is 12%, meaning the price of the TV has been reduced by 12%.

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Answer: 172, 174 and 176

Step-by-step explanation:

Since they are even numbers,

Let x be the number, x + 2 be the second number and x +4 the third number

can think of this as x+(x+2)+(x+4)=522

so you get 3x=522-6

3x= 516

so x=172

If x is 172, second number is 174 and third number is 176

Answer:

x = 4, y = -5 OR (4, -5)

Step-by-step explanation:

Step 1:  Solve for y in the first equation

2x + y - 2x = 3 - 2x

y = 3 - 2x

Step 2:  Plug in that into the second equation to get x

4x + 3(3 - 2x) = 1

4x + 9 - 6x = 1

-2x + 9 - 9 = 1 - 9

-2x / -2 = -8 / -2

x = 4

Step 3:  Use x to find y

y = 3 - 2(4)

y = 3 - 8

y = -5

Answer:  x = 4, y = -5 OR (4, -5)

Answer:

A

Step-by-step explanation:

So that is a 90 degree angle and there is an angle of 30. 30-90 is 60. 60 divided by 4 is 15. So thus the answer is A,15.

Answer:

15

Step-by-step explanation:

90 is right angle

90 - 30 = 60

60 / 4 = 15 <---- theres the answer

hope i helped

Answer:$0.27

Step-by-step explanation:

20=$5.49

1=20/5.49

1=$0.2745

Hello!

The answer to your problem is 24 R 14 (R for remainder)

Here is my work show.

Answer: 24.37

Step-by-step explanation:

926/36 = 24.3684

Rounded = 24.37