Martina and her roommate are renting furniture for their apartment. The delivery and set up charge is $75. There is a monthly rental fee of $90. Which expression can be used to calculate their total cost for m months?

From the graph the range of the function is obtained as option 1: -5 ≤ y ≤ 8.

What is the range of data?

The range of data is defined as a measure of the difference between the maximum value of data and the minimum value of data.

From the graph, the following observations are made -

The endpoints of the graph have closed circles this means that, the endpoints are inclusive of the range.

For closed circles the inequality symbols used is (≤,≥).

The y-axis values suggests the range of the function.

The minimum y-axis value in the fourth quadrant is -5.

The maximum y-axis value in the first quadrant is 8.

The range of the function is [-5 , 8]

Therefore, the range is found to be -5 ≤ y ≤ 8.

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I think that it could be b but I'm not 100 percent sure

All the equations are direct variation equations

A relationship between two variables is said to be a direct variation if one of the variables is proportional to the other, meaning that their ratio is always constant.

Using the above as a guide, we have the following:

y = -5x:

Direct variation

Constant of variation = -5

2y = x

Direct variation

Constant of variation = 1/2

y/x = 12

Direct variation

Constant of variation = 12

x/y = 4

Direct variation

Constant of variation = 1/4

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Answer:

[tex](B'\cap A)\cup C=\{1,5,6,7,8\}[/tex]

Step-by-step explanation:

[tex]B'=\{1,5,8,9\}[/tex]

[tex](B'\cap A)=\{1,5\}[/tex]

[tex](B'\cap A)\cup C=\{1,5,6,7,8\}[/tex]

The complement of a set, notated with a prime symbol ('), are all other elements that are not in that set.

The intersection of two sets, notated by [tex]\cap[/tex], are just the elements that are contained in both sets.

The union of two sets, notated by [tex]\cup[/tex], are all the elements that are contained in both sets (any duplicates are not included).

Answer: 1.+900

2. -24

3.  -5

4. +10

Step-by-step explanation:

Answer:

they each download 36 songs

Answer: y=5x+2

Step-by-step explanation: I answered this question already, I believe.

The solution is in the attachment!!

The function table representing the numerical values is given below.

An function in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). Example -

y = f{x} = ax + b

Given is a function as -

h = -5t² + 14t + 3

We can write the complete table as -

time {sec}                                                          height {m}

-2                                                                 - 5 x 4 + 14 x - 2 + 3 = - 45

-1                                                                  - 5 x 1 + 14 x - 1 + 3 = - 16

-0                                                                 - 5 x 0 + 14 x 0 + 3 = 3

1                                                                   - 5 x 1 + 14 x 1 + 3 = 12

2                                                                  - 5 x 4 + 14 x 2 + 3 = 11

3                                                                  - 5 x 9 + 14 x 3 + 3 = 0

4                                                                  - 5 x 16 + 14 x 4 + 3 = - 21

-5                                                                 - 5 x 25 + 14 x 5 + 3 = - 52

Therefore, the function table representing the numerical values is given above.

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Best Mortgage Option 3 because this mortgage option offers a lower interest rate.

After reviewing all three mortgage options available to Demarco and Tanya, I would recommend that they choose option 3. This option offers a lower interest rate compared to the other two options and a longer loan term, which means that their monthly payments will be lower and more manageable for their budget. Additionally, option 3 offers a fixed interest rate, which provides them with more stability and predictability in their mortgage payments, as opposed to options 1 and 2 that offer adjustable interest rates.

Option 1 has the highest interest rate and the shortest loan term, making their monthly payments the highest of all three options. Option 2 offers a slightly lower interest rate, but it still higher compared to option 3, and has a shorter loan term compared to option 3, making their monthly payments still relatively high.

In conclusion, the best financial choice for Demarco and Tanya would be option 3. Its lower interest rate, longer loan term, and fixed interest rate make it the most affordable and stable option for them in the long run.

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Answer:

[tex]a_n = (-4)^{n - 1}; a_1 = -1.5[/tex]

Step-by-step explanation:

[tex] a_1 = a_1 [/tex]

[tex] a_2 = a_1 \times r [/tex]

[tex] a_3 = a_1 \times r^2 [/tex]

[tex] a_4 = a_1 \times r^3 [/tex]

[tex] a_5 = a_1 \times r^4 [/tex]

[tex] a_1 \times r = 6 [/tex]

[tex] a_1 \times r^4 = -384 [/tex]

[tex] r = \dfrac{6}{a_1} [/tex]

[tex] a_1 \times (\dfrac{6}{a_1})^4 = -384 [/tex]

[tex] r = \dfrac{6}{a_1} [/tex]

[tex] \dfrac{1296}{a_1}^3} = -384 [/tex]

[tex] r = \dfrac{6}{a_1} [/tex]

[tex] \dfrac{1}{a_1}^3} = -\dfrac{384}{1296} [/tex]

[tex] r = \dfrac{6}{a_1} [/tex]

[tex] a_1^3 = -\dfrac{27}{8} [/tex]

[tex] r = \dfrac{6}{a_1} [/tex]

[tex] a_1 = -1.5 [/tex]

[tex] r = \dfrac{6}{-1.5} [/tex]

[tex] a_1 = -1.5 [/tex]

[tex] r = -4 [/tex]

[tex] a_1 = -1.5 [/tex]

[tex]a_n = (-4)^{n - 1}; a_1 = -1.5[/tex]

Hey  there!

[tex]\huge\textbf{Assuming:}[/tex]

[tex]\mathsf{f(x) = x^2 + 3x - 5}[/tex]

[tex]\mathsf{f(x) = 3^2 + 3(3) - 5}[/tex]

[tex]\mathsf{f(x) = 3 \times 3 + 9 - 5}[/tex]

[tex]\mathsf{f(x) = 9 + 9 - 5}[/tex]

[tex]\mathsf{f(x) = 18 - 5}[/tex]

[tex]\mathsf{f(x) = 13}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\mathsf{f(x) = 13}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

The answer is 6t-9. This can be calculated by dividing the numerator (54t2−81t) by the denominator (9t). This gives 6t-9.

Step-by-step explanation:

Answer:

81t2+16

Step-by-step explanation:

(9t-4)(-9t-4)   : Equation

Distribute parentheses using:(a + b)(c + d) = ac + ad + bc + bd.

Where :  a=9t, b=-4, c=-9t, d=-4.

This leads to 9t(-9t) +9t (-4) -4- (9t) -4 (-4).

Now we have to Apply minus-plus rule.

Where: -(-a)=a.+(-a)=-a

-9t.9t - 9t.4 + 4.9t = 4.4

=81t2+16

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Answer:

30

Step-by-step explanation:

Add all the sides and you get 30.

Hope this helps! Pls give brainliest!

Answer:

30

Step-by-step explanation:

6+9.5+6.5+4+4 = 30

Answer:

Step-by-step explanation:

y=mx + b where b= y intercept(when x=0) and m= slope(rise/run)

so there is a slope of 4 and a y intercept of 9

so starting from 9, you go up 4, and to the right 1. and that just repeats till you're satisfied.

The conclusions reached in steps 4 and 5 are invalid. This is a flawed argument for the existence of isosceles triangles.

An isosceles triangle has two equal sides and two equal angles as a result. The term comes from the Greek words iso (same) and skelos (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.

Each step is valid, but the conclusion is not. At the end of step 4,

here are a series of isometric maps that lead A to D and C to F, as claimed..

After the final rotation in Step 5, the sequence of isometries takes B to E and C to F —but here’s the hitch—there is no reason why it should still take A to D, in fact it can’t take A to D unless the rotation angle is zero.

If the rotation angle in Step 5 is zero, then the isometries take [A,B,C] to [D,E,F] and the two triangles are indeed similar

But this requires the dilation in Step 2 to have made A′B′ congruent to DE , in other words, it requires assuming the triangles are similar before performing any of of the transformations.

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Question:

This is an invalid proof that all isosceles triangles are similar. Explain which step is invalid and why. 1. Draw 2 isosceles triangles ABC and DEF where AC = BC and DF = EF. 2. Dilate triangle ABC to a new triangle A'B'C' using center C and scale factor DF/AC so that A'C= BC - DF = EF. 3. Translate by directed line segment CF to take A'B'C' to a new triangle A" B" F. Since translation preserves distance, A"F = A'C=DF and B" F = BC = EF. 4. Since A"F=DF, we can rotate using center F to take A" to D. 5. Since B" F = EF, we can rotate using center F to take B" to E. 6. We have now established a sequence of dilations, translations, and rotations that takes A to D, B to E, and C to F, so the triangles are similar.

Answer:  $41

Step-by-step explanation: $82 all total. 2 days. 82/2=41. He made $41 on Saturday

Answer: Let's call the number of adults admitted "A" and the number of children admitted "C". We know that:

A + C = 4900 (total number of people admitted)

And the total revenue is:

2.75A + 0.25C = $6,962.50

We can use the first equation to solve for one of the variables in terms of the other:

C = 4900 - A

Substitute this expression for C into the second equation:

2.75A + 0.25(4900 - A) = $6,962.50

Expand and simplify the right side:

2.75A + 1225 - 0.25A = $6,962.50

2.5A = 5737.5

Solve for A:

A = 2298

So there were 2298 adults and 4900 - 2298 = 2602 children admitted.

Step-by-step explanation:

The slope for the first piece of the tax function is given as follows:

0.1.

The slope for the second piece of the tax function is given as follows:

0.2.

It tells that for smaller salaries, the tax rate is of 10%, while for salaries on a second range, the tax rate is of 20%.

The slope of a linear function represents the rate of change of the output variable relative to the input variable.

For the first piece, when x increases by 5000, the output increases by 500, hence the slope m is given as follows:

m = 500/5000

m = 0.1.

For the second piece, when x increases by 5000, the output increases by 1000, hence the slope m is given as follows:

m = 1000/5000

m = 0.2.

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The y-intercept is calculated using a table or a graph by substituting x = 0.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The y-intercept value is calculated when the x-coordinate is zero.

Now,

Example:

(0, 3), (0. 5), (0, 7) are all y-intercepts of the graph.

Thus,

The y-intercept is calculated when x = 0.

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Answer:

sin 28 = 8 /17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions.

sin theta = opp side / hypotenuse

sin 28 = 8 /17

The required statements are true or false, are below in the solution part.

A square is defined as a polygon that has four sides and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.

a) True. If a quadrilateral is a square, then it has four equal sides and four right angles. By definition, a rectangle also has four right angles, so a square is also a rectangle.

b) False. A counterexample is a parallelogram, which has a pair of parallel sides but does not have a pair of opposite sides that are congruent.

c) False. A counterexample is a rectangle, which has perpendicular diagonals but is not a rhombus, which is defined as a quadrilateral with four equal sides.

d) False. A counterexample is an isosceles trapezoid, which has one right angle but not all angles are right angles.

e) Converse of a) - If a quadrilateral is a rectangle, then it is a square. This is false, as there are rectangles that are not squares.

The converse of b) - If a quadrilateral has a pair of opposite sides that are congruent, then it must have a pair of parallel sides. This is true.

The converse of c) - If a quadrilateral is a rhombus, then its diagonals are perpendicular to each other. This is true.

The converse of d) - If all angles of a quadrilateral are right angles, then it has one right angle. This is false, as a square has four right angles but only one of them can be considered "one right angle".

f) Contrapositive of a) - If a quadrilateral is not a square, then it is not a rectangle. This is true.

The contrapositive of b) - If a quadrilateral does not have a pair of parallel sides, then it does not have a pair of opposite sides that are congruent. This is true.

The contrapositive of c) - If a quadrilateral's diagonals are not perpendicular to each other, then it is not a rhombus. This is true.

The contrapositive of d) - If a quadrilateral does not have one right angle, then all of its angles must not be right angles. This is true.

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Answer:

Let x be the price per ream in dollars. Then, the manufacturer's profit per ream sold is (x - $2).

The manufacturer estimates that for each $1 increase in the price, 400 fewer reams will be sold each month. Thus, the number of reams sold can be expressed as 4000 - 400(x - $5) reams per month.

The manufacturer's total monthly profit is given by the product of the number of reams sold and the profit per ream, so it can be expressed as:

P(x) = (4000 - 400(x - $5)) * (x - $2)

So the monthly profit as a function of the price per ream is:

P(x) = 4000x - 8000 - 400x^2 + 2000x + 8000

This is a quadratic equation and its maximum value can be found using techniques from algebra or calculus.

Step-by-step explanation:

ABOVE

Answer:

x = 4  rounded to the nearest whole number (actually 4.0801)

Step-by-step explanation:

The triangle formed by the sides of length 0.9x, 2.8x and 12 form a right triangle with the side of length 12 as they hypotenuse

By the Pythagorean theorem

c² = a² + b² where c = hypotenuse, a and b being the other two sides

Plugging in values we get

12² = (0.9x)² + (2.8x)²

144 = 0.81x² + 7.84x² = 8.65x²

Switching sides:

8.65x²= 144

x² = 144/8.65 = 16.6473

x = √16.6473= 4.0801

Rounded to the nearest integer, x = 4

the maximum number of caps she can order is 162.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given, Laura is the fundraising manager for a local charity she is ordering caps for an upcoming charity walk.

Let "x" be the number of caps she ordered.

Since, manufacturing cost for a cap = $6

shipping charges for the lot = $25

Thus,

Total price she paid for x caps = 6*x + 25

Since she had only 1000$

So,

6x + 25 ≤ 1000

6x ≤ 975

x ≤ 975/6

x ≤ 162.5

therefore, the maximum number of caps she can order is 162.

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Answer:

60

Step-by-step explanation:

3/5 = 0.6 meters = 60 cm

Answer:

Step-by-step explanation: