Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.

The x-coordinates of the points of intersection of the given function graphs are;

1) x = 0 and x = 2

2) x = -1

3) x = 0

The point of intersection of a graph is in simple terms explained as the point or coordinates where two lines or even curves intersect.

1) The first question gives us the functions as;

f(x) = -³/₄x² + 3x + 1

g(x) = 2ˣ

Therefore;

From the first graph, At f(x) = g(x), the coordinates of intersection is at (2,4 and (0, 1)

2) In the second question, we are given the functions as;

f(x) = x² + 4x + 2

g(x) = (¹/₂)ˣ + 1

Therefore;

From the first graph, At f(x) = g(x) the coordinates of intersection is at (-1. 3)

C) In the third question, we are given the functions as;

f(x) = -⁷/₃x - 3

g(x) = 2ˣ - 4

Thus;

From the graph, At f(x) = g(x), the coordinates of the point of intersection  is at (0, -3)

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The ratio of the length of an actual tile is 4/3, and the ratio of area is 16/9.

What is ratio?

A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.

Given,

the length of tile is 2/3 and width = 1/2

The length of actual tile is 1/2 and width = 3/8

Therefore, the ratio of the actual length of tile = 2/3 ÷ 1/2

=2/3×2/1

=4/3

The area of the tile in the model to the area of tile in actual tile = 2/3×1/2÷(1/2×3/8)

=1/3÷3/16

=1/3×16/3

=16/9

And another method is property of dilation,

The ratio of the areas = (4/3)^2

=16/9

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Given:

The cone with height(h) 12 cm and radius(r) 5 cm.

Required:

What is the surface area of the cone?

Explanation:

The formula required to calculate surface area of cone:

We have radius(r) = 5 cm and height(h) = 12 cm.

So,

∵ The cost of the television = 120 dollars

∵ The sale tax = 6.5%

→ Find at first the value of tax by multiplying 6.5% by 120

∵ 6.5% = 6.5/100 = 0.065

∴ The tax = 0.065 x 120 = 7.8 dollars

→ Add the tax to the cost to find the total cost

∵ The tota

Answer:

Step-by-step explanation:

The answer is B because if you multiply 5 by 2 it equals 10.

The answer could also be D because if you multiply 3 by 2 it equals 6.

ΔJKL and ΔXYZ are similar triangles with condition KL / YZ = 8

Two triangles are said to be Similar triangles if they have same shape but not necessarily the same size , ratio of all the corresponding sides are same and corresponding angles are equal to each other

In ΔJKL and ΔXYZ ,

1 . The shape of both triangles are same

2 . ∠KLJ = ∠YZX

3 . Ratio of corresponding sides KL / YZ = 56 / 7

= KL / YZ = 8

so , KL / YZ = 8  is condition to prove ΔJKL and ΔXYZ are similar triangles.

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Answer:

KL/YZ=8 have a nice day:)

C) 24.10

1) Considering that rational numbers are any number that can be written as a ratio.

The number 23.07 is the same as 2307/100 and

The number 24.11 is the same as 2411/100

If we take the number line, we have a rational number 24.10 between those.

Because 24.10 can be written as 2410/100

Answer:

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

Two of the vertices are on horizontal line with same y-coordinate of 3.

These two vertices form the base of the triangle which is:

The height is the difference of the y-coordinates of the third vertex with the first two:

To find the percentage of the residences in the country that are rentals is calculated with this formula:

Now substituting the given information, into the above percentage expression, we will have:

The percentage of residences in the country that are rentals is 21 %.

The equation of a line with slope a and y-intercept b can be expressed in the for y = ax + b.

For a line passing through the points (1,1) and (2,-1), its slope is given by:

To find the intercept, we can just replace x and y by one of the given pairs of coordinates:

Therefore, the equation of the line is y = -2x + 3

The graph of the function is reflected across the y-axis and vertically translation by 2 units downwards.

The parent function of the graph is f(x) = x

Now the first is the reflection along the y-axis.

Hence the graph of the function h(x) becomes h(x) = -x

Now there is a translation by 2 units downwards. or a vertical translation of 2 units  downwards.

Hence the graph of f becomes g(x) = -x -2

In mathematics, a shape can be translated by moving up, down, left, or right. Since they seem to have the same proportions as the original shapes, the translated shapes are consistent with one another. Just a few more adjustments have been made to the instructions.

As we just saw, before translations are carried out, a shape is referred to as a "preimage," and when translations are complete, a shape is referred to as an "image."

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Answer:

Jane payed $15.95 for the item.

Step-by-step explanation:

55% as a decimal is 0.55

You can multiply 0.55, or get 55%, of 29.

0.55x29 = 15.95

Now you have your answer!

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]

Answer:

-128/147 cm/min

Step-by-step explanation:

[tex]A=\frac{1}{2}bh \\ \\ 90=\frac{1}{2}(10.5)b \\ \\ b=\frac{120}{7} \\ \\ \\ A=\frac{1}{2} bh \\ \\ \implies \frac{dA}{dt}=\frac{b}{2} \frac{dh}{dt}+\frac{h}{2} \frac{db}{dt} \\ \\ 4=\frac{21}{4}+\frac{db}{dt}+\frac{60}{7} \\ \\ \frac{db}{dt}=-\frac{128}{147}[/tex]

Answer:

Step A is incorrect.

[tex] {x}^{2} = x - 6[/tex]

[tex] {x}^{2} - x + 6 = 0[/tex]

Jon should have subtracted x from both sides and then added 6 to both sides.

Answer:

Step-by-step explanation:

11 [tex]\frac{1}{2}[/tex] + [tex]\frac{5}{8}[/tex]

make all the fractions an improper fraction

(11×2)+1/2 = 23/2

(3x5)+5/8 = 29/8

you need to make sure both fractions have a common denominator

to make 23/2 common with 5/8 you multiply 23/2 by 4/4

wich will make 92/8

continiue with the question

92/8 + 29/8= 121/8

simplify by dividing by 8 to get a mixed number

15 1/8

K:

1/2 and 3/4 are NOT equivalent.

If you divide 1 by 2, the result is 0.5

If you divide 3 by 4, the result is 0.75

Therefore, they are NOT equivalent

1/2 and 2/4 are equivalent:

If you divide 1 by 2, the result is 0.5

If you divide 2 by 4, the result is also 0.5

Now, you can answer the question.

Answer:

(2,3)

Step-by-step explanation:

-3x-2y=-12

y=5x-7

according to the second equation y is equal to 5x-7 so we enter that into the first equation for y

-3x-2(5x-7)= -12

-3x-10x+14= -12

-13x+14= -12

      -14.  -14

-13x= -26

/-13.  /-13

x= 2

now we know x is 2 we fill in x in any of these equations to find y but i will use the second equation

y=5(2)-7

y=10-7

y=3

now we write it as an ordered pair (x,y)

(2,3)

hopes this helps please mark brainliest

Answer:

You are absolutely correct!

Step-by-step explanation:

To find the area of a cube, we do length (l), times width (w), times height (h).

Let's say that the length is 6, while the width is 3. That would make the first layer 18, like in your problem.

18 × 10 = 180

18 × 20 = 360

18 × 30 = 540

So, yes! You are correct!

As each layer can hold 18 balls 540 balls can be placed in 30 layers.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A box holds 540 balls, and each layer holds 18 balls.

∴ To determine no. of layers we have to divide the total no. of balls by no. of balls in one layers,

= (540/18) layers.

= 30 layers.

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7) 13 + -2 = 13 + (-2) = 13 - 2 = 11

8) -12 - 8 = - (12 + 8) = - (20) = -20

Answer:

I only got 8.5 but I could be wrong

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

y=mx+b

m represents slope

b represents the y-intercept

In the problem, it is asking you to make an equation just plug it in!

y=3x-1

Hope this helps!

The value of angle a will be = 50 degrees

Since the given figure has 4 sides hence it is a quadrilateral, we know that the sum of all 4 sides should be equal to 360 degrees so,

Sum of all 4 sides = 360 degrees

The sum of the given 3 sides = 100+100+110 = 310 degrees

Angle a = Sum of all 4 sides - the sum of the given 3 sides

Angle a = 360 - 310

Angle a = 50 degrees

Hence the value of the remaining angle a = 50 degrees

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2nd Question)

1) Considering that this is a line segment R(5,8) and P(3,6). Let's find out the distance between those points using the distance formula, derived from the Pythagorean Theorem:

2) Let's now find the slope between those points, making use of the slope:

The next step is to fill in the table, so:

m: 1

Parallel slopes are identical so we can state:

║m = 1

Perpendicula

The unit rate in price per ounce for choice A is  $0.1396, using arithmetic operation.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

The given question, 25 ounces of potato chips cost $3.49

So for 1 ounce the price will be 3.49/25 = $0.1396

Hence,  the unit rate in price per ounce for choice A is  $0.1396

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Answer:

  (a)  10x -10 = 8x

Step-by-step explanation:

Given the lengths of corresponding sides in congruent triangles are 10x-10 and 8x, you want to know the correct equation needed to solve for x.

Corresponding parts of congruent triangles are congruent, so the corresponding sides (10x -10) and (8x) are the same length. The equation that expresses this relationship is useful for finding the value of x:

  10x -10 = 8x

__

Additional comment

The nature of the answer choices suggests that the values (10x-10) and (8x) could be considered to be the measures of the right angles. These two equations would give different values of x.

We interpret the figure as showing these expressions represent the lengths of the segments opposite the marked acute angles.

b.

To determine how many accounts will minimize the long run average cost.

Given the function;

We need to plot a graph of the function and identify the lowest point on the graph ( since we are minimizing).

Above is a section of the graph of the function.

The lowest point on the graph is at;

Therefore, the number of accounts that will minimize the long run average cost is 24 accounts.

Also, the minimum long run average cost is 0

c.

We want to determine whether the territories should be merged together.

To do this we will check their average long run cost when they merge and compare to their average long run cost when they are separate;

When the merge, the total number of accounts is;

So, the long run average cost is;

When they are separate, as calculated in a.

the long run average cost for both is;

So, since the long run average cost for when they merge is greater that the total long run average cost when the are separate, then they should not merge the two territories because merging the two territories increases the long run average cost. And we all know the aim is to always try to reduce cost.

Therefore, they should not merge

The students who write expressions when the students write algebraic math expressions and equations on their whiteboard is student 1 and 4.

In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions. An expression or mathematical expression in mathematics is a finite combination of symbols that is well-formed according to context-dependent rules.

An algebraic expression is one that is composed of integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). 3x² 2xy + c, for example, is an algebraic expression.

In this case, student 1 wrote 1/2x + 6 and student 4 wrote 5 - x. It should be noted these are algebraic expressions as they don't have equal signs.

The diagram is attached.

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Answer:

Angle 1: 56 degrees

Angles 2: 56 degrees

Angles 3: 74 degrees

Step-by-step explanation:

triangles angles added up equal 180

So we add the 2 angles in the first triangle to find angle 1

58+66

124

Then subtract by 180

180-124

56

Angle 1 is 56 degrees

angles 2 is also 56 degrees since they are corresponding angles

Now we know 2 angles of the second triangle and to find angle 3 we add the 2 angles

56+50=106

And subtract by 180

180-106

74

Angles 3 is 74 degrees

Hopes this helps please mark brainliest