Donnie and Tania are math tutors. The amount Donnie charges for a session h hours long is represented by the function D(h) = 40h + 10. Tania charges a flat fee of $30 plus $15 an hour. Write a function, T(h), that represents the amount in dollars that Tania charges for h hours of tutoring. Graph both functions on the same coordinate grid, and label each line. Compare the slopes and y-intercepts of the graphs.

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Answer:

The answer to your question is $1250 - 0.35($1250)

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Some people think this concept is confusing. Let's break it down. First, let's ask, what is a multiple?

We get a multiple of a number when we multiply it by another number other than zero. For example:

Multiples of 10: [tex]10, 20, 30, 40, 50, 60, 70, 80, 90, 100...[/tex]

Multiples of 12: [tex]12,24,36,48,60,72,84,96,108...[/tex]

The Least Common Multiple is the smallest multiple of the two numbers. The smallest multiple we see 10 and 12 have is 60.

Answer:

(C) 1/3

Step-by-step explanation:

The slope intercept form: y = mx + b.

Note:

m = slope

b = y-intercept

x & y = (x , y) for the points.

You are trying to get the y-intercept of the following function given:

f(x) or y = (-2/9)x + (1/3)

1/3 is your answer, or (C), for 1/3 replaces the b inside the equation.

If you really need the slope, the slope of the following equation is (-2/9), which replaces the m inside the equation.

~

Answer:

6.2 + (6.2 + 9.4) ⇒ A

6.2 - (-6.2 - 9.4) ⇒ E

Step-by-step explanation:

your welcome i hope you pass <3

The equivalent expressions are Choice A: 6.2 + (6.2 + 9.4) and Choice C: -(6.2 + 6.2) + 9.4.

Let's break down the expressions to see how they are equivalent:

Original expression: (6.2 + 6.2) + 9.4

Choice A: 6.2 + (6.2 + 9.4)

This is the same as the original expression because the parentheses ensure that the addition of 6.2 and 9.4 is done first before adding it to the first 6.2.

Choice C: -(6.2 + 6.2) + 9.4

Here, we have a negative sign in front of the expression (6.2 + 6.2). When we add a negative sign, it's equivalent to subtracting the expression from 0. So, -(6.2 + 6.2) is the same as (-6.2 - 6.2), which is then added to 9.4. This is also equivalent to the original expression.

In both Choice A and Choice C, the final result is the same as the original expression: (6.2 + 6.2) + 9.4.

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Answer: The coordinates of the vertex are : (-1,-2)

Step-by-step explanation: To find the x coordinate, we use the formula:

Xv = -b/2a = -6/(2.3) = -6/6 = -1

Replacing x by -1, we write:

y = 3. (-1)^2 + 6. (-1) +1 = 3 - 6 + 1 = -2

The vertex of the function will be (-1, -2)

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ y = 3x² + 6x + 1

Now,

Since, The function is,

⇒ y = 3x² + 6x + 1

By comparing with the standard form of a quadratic equation ax²+bx+ c , we get;

⇒  a = 3, b = 6 c = 1

Since, The x- coordinate of the vertex is,

⇒ x = - b/2a

Substitute all the values, we get;

⇒ x = - 6/2×3

⇒ x = - 6/6

⇒ x = - 1

And, Put x =- 1 in the function, we get;

⇒ y = 3x² + 6x + 1

⇒ y = 3(-1)² + 6(-1) + 1

⇒ y = 3 - 6 + 1

⇒ y = - 2

Thus, The value of vertex = (- 1, - 2)

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Hey!

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Formula: [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

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Steps To Solve:

~Substitute

[tex]m = \frac{-1 - 7}{4 - (-1)}[/tex]

~Simplify

[tex]m = \frac{-8}{5}[/tex]

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Answer:

[tex]\large\boxed{C)~\frac{-8}{5} }[/tex]

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Hope This Helped! Good Luck!

Answer:

Step-by-step explanation:1,000,000+900,000+40,000+8,000+400+40+7

In a simple addition problem like this, just directly add the number of black tiles (35) and white tiles (28). So, 35 + 28 equals 63. You will need 63 tiles in all to tile the patio.

The question asks you to find the total number of black and white tiles needed to tile a patio, using the Distributive Property to do the math.

However, the Distributive Property is used for multiplying a number by a group of numbers added together, not for a simple addition problem like this. For this question, you directly add the number of black tiles (35) and white tiles (28).

So, 35 (number of black tiles) + 28 (number of white tiles) equals 63. Therefore, you will need 63 tiles in all to tile the patio.

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recall that in a function, the output or f(x) or namely the dependent variable set is the range.

[tex]\bf \begin{array}{ccll} \stackrel{domain}{x}&\stackrel{range}{y}\\ \cline{1-2} 2&4\\ 3&3\\ 4&2 \end{array}\qquad \qquad \stackrel{\mathbb{RANGE}}{\{4,3,2\}}[/tex]

Answer:

-5

Step-by-step explanation:

because -3 + 3 = 0 and 1 + 4 = 5 so your answer is -5

[tex]\huge\boxed{-5}[/tex]

Let's write this out as an equation. [tex]-3+3+1+4+t=0[/tex]

We know that when all of the scores are added together, they equal [tex]0[/tex]. In this case, [tex]t[/tex] represent's Travis's score.

Add the known numbers together. [tex]0+1+4+t=0[/tex]

[tex]1+4+t=0[/tex]

[tex]5+t=0[/tex]

Now, subtract [tex]5[/tex] on both sides of the equation to isolate the variable. [tex]t=\boxed{-5}[/tex]

Answer:

1.875 feet

Step-by-step explanation:

The length of the shadow is proportional to the height.

25 / 60 = x / 4.5

Cross multiply and solve:

60x = (25)(4.5)

60x = 112.5

x = 1.875

The shadow is 1.875 feet long.

Final answer:

The shadow of a 4.5-foot-tall person would be 1.875 feet long.

Explanation:

The shadow of a 4.5-foot-tall person would be 1.875 feet long.

First, set up a proportion using the given information: Height of monument / Length of its shadow = Height of person / Length of their shadow

Plug in the values: 60 / 25 = 4.5 / x

Solve for x to find the length of the person's shadow: x = (4.5 * 25) / 60 = 1.875 feet

Answer:

permutation is the correct one.

Reason: combination are used to calculate the number of possible selections of  objects without regard to the order selected.  "My fruit salad is a combination of apples, grapes, and  bananas". No matter the order, it is still a fruit salad. - The friends cannot be repeated twice so it is not combination

Final answer:

The student needs to choose two or three roommates from a group of 25 friends for a band camp. It is a combination problem and the number of ways to choose can be calculated using the combination formula.

Explanation:

This is a combination problem. The student needs to choose two or three roommates from a group of 25 friends for a band camp. Since the order doesn't matter, it is considered a combination. To calculate the number of ways to choose, we use the combination formula.

The number of ways to choose two roommates can be calculated using the formula C(25, 2) = 25! / ((25-2)! * 2!), which simplifies to 300.

The number of ways to choose three roommates can be calculated using the formula C(25, 3) = 25! / ((25-3)! * 3!), which simplifies to 2,300.

Answer: x=5

Step-by-step explanation:

5+x+(−2)=−8

Simplify

5 + x - 2 = -8

x + 3 = -8

Subtract 3 to both sides

x + 3 - 3 = -8 +3

Simplify

x = -5

Answer:

x=-11

Step-by-step explanation:

5+x+(-2)=-8

x+(-2)=-13

x=-11

240 divided by 300 would be 0.8 multiply by 100 giving you 80. 80 percent.

To calculate the percentage of students who completed the survey, divide the number who completed it (240) by the total number surveyed (300) and then multiply by 100, yielding 80%.

To find the percentage of students who completed the survey, we use the formula for calculating a percentage: (Number of Students Who Completed the Survey ÷ Total Number of Students Surveyed) × 100. In this case, it's (240 ÷ 300) × 100, which equals 80%. Therefore, 80% of the students surveyed completed the survey. This is a common type of problem in statistics that involves dealing with portions and percentages of a whole.

. In this case, 240 students completed the survey out of 300 students surveyed. So, the percentage of students surveyed is:

Percentage = (240 / 300) * 100 = 80%

Let the price of the computer = X

Store A is selling it for 25% off, so they are selling it for 75% of the original price, so you have 0.75X

Store B is selling it for 180 less the original price, so you have X - 180

Now set both equations to equal and solve for x:

0.75x = X-180

Subtract 1X from each side:

-0.25x = -180

Divide both sides by -0.25:

x = -180 / -0.25

X = 720

The original price is $720

check:

720 x 0.25 = 180

The original price of the computer is $720, calculated by setting the 25% sale price equal to the flat $180 discount and solving the resulting equation.

Brittany wishes to determine the original price of a computer based on the sale prices from two different stores. Store A offers a 25% discount while Store B offers a flat $180 discount. To find the original price when the sale prices are equal, we set up an equation.

Let the original price be represented by x. The sale price at Store A is therefore x - 0.25x or 0.75x. At Store B, the sale price is x - $180.

To find the original price when the sale prices are equal, we set the equations equal to one another:
0.75x = x - $180

We solve the equation by subtracting x from both sides:
0.75x - x = -$180
-0.25x = -$180

Then we divide both sides by -0.25 to solve for x:
x = -$180 / -0.25
x = $720

Therefore, the original price of the computer is $720.

Answer:

Step-by-step explanation:

what is question that you whant my to answer

Answer:

Commutative property of multiplication

Answer:

HCF(32,48,72) = 8

Step-by-step explanation:

We have ,

32 = 2×2×2×2×2 =

48 = 2×2×2×2×3 = 2⁴×3¹

72 = 2×2×2×3×3 = 2³×3²

Now,

HCF(32,48,72) = 2³ = 8

/* Product of the smallest power of each common prime factors of the numbers */

Answer:

(13,10)

Step-by-step explanation:

On the graph, all the points going right starting from 0, would be positive, and all points going up starting from 0 would be positive.

You should also know that going right would mean the x (which is 9 here) would get bigger; and the y (which is 4) going up would get bigger too.

So if you move (9,8) right 4 times 9 + 4 = 13, so now you have (13,8).

Then, you move (13,8) up 2 units, so 8+2 more units = 10, so then your final answer would be (13,10).

Hope this helped, sorry if its confusing I wasn't born to teach lol

The image point of (9, 8) is (13, 10), after the translation.

In graphs, we know that the horizontal line is the x-axis, more we go right in that line, more positive values of x we get & in similar manner, more we go left, we get more negative values of x.

So, if we translate (9, 8), 4 units in the right, then we get larger value of x, i.e. 9+4=13 and the point becomes (13,8)

Also, the vertical line on a graph defined the y-axis, more we go up in that line, more we get positive values of y and more we go down that line, more we get negative values of y.

So, if we up the value of y 2 units, then the co-ordinate of y is 8+2 = 10

And the point becomes (13,10)

So, the required image point is (13,10)

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Answer:

- 2x - 2

Step-by-step explanation:

Given

2(2x + 5) - 6(x + 2) ← distribute both parenthesis

= 4x + 10 - 6x - 12 ← collect like terms

= - 2x - 2

Answer:

C = 2

Step-by-step explanation:

[tex]2*2=4[/tex]

The required solution for the given equation c² = 4 is  c = 2.​​

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

c² = 4

Since factor 4 = 2 x 2

Therefore, 4 = 2 x 2 = 2²

So the given equation becomes,

c² = 2²

Taking square root both the side we get,

√c² = √2²

Therefore,

c = 2

which is the required solution of the given equation.

Thus, The required solution for the given equation c² = 4 is  c = 2.​​

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Answer:

Step-by-step explanation:

(-)(-) = (+)

(-)(+) = (-)

(+)(-) = (-)

(+)(+) = (+)

-(-21) = (-)(-21) = (+)21 = 21

-12 - (-21) = -12 + 21           use commutative property: a + b = b + a

= 21 + (-12) = 21 - 12 = 9

Bonjour cheese gateou! je help tes maths!

11=5+a

11-5=a

6=a

a + 4 = b + 3

a - b = - 4 + 3

a-b=-1

Merci beaucoup...

Final answer:

To find the expression representing segment PS, we add the expressions for segments PR (4x - 2) and RS (3x - 5) to get PS as 7x - 7.

Explanation:

The question asks us to determine the expression that represents the segment PS given the expressions for segments PR and RS. PR is given as 4x - 2 and RS is given as 3x - 5. To find the length of PS, we add PR and RS because PS is the sum of PR and RS when they form a continuous line segment. Therefore, PS is (4x - 2) + (3x - 5). Simplifying this expression, we get PS as 7x - 7.

Answer:

Step-by-step explanation:

The formula of a distance between two points

[tex]A(x_1,\ y_1),\ B(x_2,\ y_2)\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points A(-1, -3) and B(11, -8).

Substitute:

[tex]AB=\sqrt{(-8-(-3))^2+(11-(-1))^2}=\sqrt{(-8+3)^2+(11+1)^2}\\\\=\sqrt{(-5)^2+12^2}=\sqrt{25+144}=\sqrt{169}=13\\\\\sqrt{169}=13\ \text{because}\ 13^2=169[/tex]

Answer:

fourth equation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2y + 3x = 8 into this form

Subtract 3x from both sides

2y = - 3x + 8 ( divide all terms by 2 )

y = - [tex]\frac{3}{2}[/tex] + 4 ← in slope- intercept form

with slope m = - [tex]\frac{3}{2}[/tex]

Parallel lines have equal slopes, thus

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 3 + c ⇒ c = - 1 + 3 = 2

y = - [tex]\frac{3}{2}[/tex] x + 2 ← equation of line