45 points!

The graph of $y = 2x^2 - 8x + 7$ is identical to the graph of $y = a(x-h)^2 + k$ for some real numbers $a, h, k$.

What is the value of $k$?

Answer: -4c + 16

Step-by-step explanation:

So to expand all you do is simply multiply the number outside the bracket (-4) but the numbers inside the bracket one by one as such:
-4 * c = -4c
-4 * -4 = 16

Therefore your answer is -4c + 16 as it can not be simplified further because there as no more like terms to be collected. Hope this helped! ^^

Step-by-step explanation:

-4c+16=

divide both sides by -4

-4c\-4=16\-4

c=16\-4

c=-4

The expression can be used to find the number of CDs that are not country music is 52-c. The correct option is D.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Kayla has 52 CDs in her music collection. Let c represent the number of country music CDs in Kayla's collection.

The expression can be used to find the number of CDs that are not country music is written as below:-

E =  52-c

The correct option is D for the required expression.

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Answer:

10

Step-by-step explanation:

2x - 7 = 13

+7. +7

2x = 20

20/2x = 10

Answer:

Below

Step-by-step explanation:

L x W = area

60 * W = 1800

W = 1800/60 = 30 ft

Answer:

5

Step-by-step explanation

32 -12 =20 divided by

4= 5

The equation of the blue graph is option B. G(x) = (x - 4)² + 1.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

The given function is f(x) = x².

From the figure, we can see that the graph of f(x) is shifted left to 4 units.

Then the function becomes (x - 4)².

Then the function is shifted up to 1 unit.

The resulting function is G(x) = (x - 4)² + 1.

Hence the correct equation of the graph is G(x) = (x - 4)² + 1.

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Answer:

Multiply 1/4*3= 3/4. So a motorcycle can go 3/4 of a mile on 3 gallons of gas

Step-by-step explanation: Hope this helps!!, Mark me Brainliest, :)))

The

speed

indicated in kilometers per hour is 85 km/h, as shown on the circular scale of the automobile

speedometer

.

The automobile

speedometer

is an instrument that measures the speed of a vehicle. It has a circular

scale

that reads both miles per hour (mph) and kilometers per hour (km/h). To determine the

speed

in kilometers per hour, the user must first locate the needle on the scale. The needle should be pointing to a specific number that corresponds to both mph and km/h. For example, if the needle is pointing to 85, then the speed indicated in kilometers per hour is 85 km/h. It is important to note that if the needle is located between two

numbers

, the user should determine the approximate speed by interpolating the two numbers. To find the speed in miles per hour, the user can simply look at the number that corresponds to the needle on the scale. In this case, the speed indicated in miles per hour is 53 mph.

The complete question: An automobile speedometer with circular scales reading both miles per hour and kilometers por hour is shown. What speed is indicated in miles per hour? 100 120 140 80 160 *60 180 200 40 20 220 Own 240 Express your answer in miles per hour v.2 mph

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A)

Gracie has 130 stamps after 3 months.

B)

The point (2, 100) represents that the number of stamps after 2 months is 100.

Option C is the correct answer.

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,

Coordinate grid labeled points (0, 40), (1, 70), (2, 100).

Each month Gracie adds 30 stamps to her collection.

So,

(3, 130)

Now,

A)

130 stamps after 3 months.

B)

(2, 100) represents that the number of stamps after 2 months is 100.

Thus,

130 stamps after 3 months.

(2, 100) represents that the number of stamps after 2 months is 100.

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There will be 130 stamps  Gracie have after 3 months,

and (2, 100) represents the number of stamps in the collection after 2 months is 100.

A coordinate grid has two perpendicular lines, or axes labeled just like number lines. The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis. The point where the x- and y-axis intersect is called the origin.

Given Gracie's grandmother gave her 40 stamps.

Then, each month Gracie adds 30 stamps to her collection,

Coordinate grid labeled points (0, 40), (1, 70), (2, 100), and (3, ?)

A: since she adds 30 stamps each month,

stamps in 3rd month are 100 + 30 = 130.

130 stamps in 3rd month.

B: What does the point  (2, 100),

the graph is plotted between the number of stamps and months,

which gives the  change of stamp each month,

the coordinates (2, 100) say that Gracie has 100 stamps in 2 months.

so option B is correct.

Hence There will be 130 stamps  Gracie have after 3 months,

and The number of stamps Gracie added to her collection in 2 months is 100.

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The solution to the quadratic equation is ±6

From the question, we have the following steps that can be used in our computation:

2x^2 - 20 = 52

2x^2 = 32x^2

16x = ±4

The error in the above steps is appending x^2 to 32 after collecting the like terms.

Also, the like terms are not properly added

The correct solution is as follows

2x^2 - 20 = 52

Collect the like terms

2x^2 = 72

Divide by 2

x^2 = 36

Take the square root of both sides

x = ±6

Hence, the solution is ±6

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Answer:

SOH-CAH-TOA, the rest are just reciprocals of these

Step-by-step explanation:

sinY= o/h = 6/√61
cosY= a/h = 5/√61
tanY =o/a = 6/5
cosecY = h/o = √61/6
secY = h/a = √61/5
tanY = a/o = 5/6

Answer:

Step-by-step explanation:

Sin = 6/[tex]\sqrt{61][/tex]

Cos=5/[tex]\sqrt{61[/tex]

tan=6/5

cosec=    [tex]\sqrt{61\\[/tex]/6

sec=[tex]\sqrt{61\\[/tex]/5

cot= 5/6

The type of transaction described in the problem is called an installment purchase.

What is the simple interest?

Simple interest is a type of interest that is calculated on the principal amount of a loan or investment for a specific period of time.

The type of transaction described in the problem is called an installment purchase. In this type of transaction, a buyer pays a deposit at the time of purchase and then makes periodic payments, typically over a fixed period of time, until the full purchase price is paid off. In this case, the buyer pays a deposit of R999 and then pays off the remaining balance over a period of 3 years using simple interest.

To calculate the total amount that the buyer will pay over the 3-year period, we need to calculate the amount of interest that will be charged on the remaining balance. Since simple interest is being used, we can use the formula I = Prt, where I is the interest, P is the principal (the remaining balance), r is the interest rate, and t is the time period.

Assuming an annual interest rate of, for example, 5%, the interest charged on the remaining balance of R4000 (the original price minus the deposit) over 3 years would be:

I = Prt

I = 4000 * 0.05 * 3

I = R600

So the total amount that the buyer will pay over the 3-year period is:

R999 (deposit) + R4000 (remaining balance) + R600 (interest) = R5599

the total cost of the binoculars over the 3-year period will be R5599.

Hence, The type of transaction described in the problem is called an installment purchase.

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The solution is, 5orange = 1.25 cup

                          24orange= 6 cup

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Abby squeezed the juice from 4 oranges and made 1 cup of orange juice. Each orange provides the same amount of juice.

now,

from 5 orange we get = 5/4

                                     =1.25 cup

and, 6 cup from = 4*6

                          =24 orange

Hence, The solution is, 5orange = 1.25 cup

                                      24orange= 6 cup

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Answer:

multiply 2, 7 times

Step-by-step explanation:

2 x 2 x 2 x 2 x 2 x 2 x 2

= 128

The number of RPM flown on this flight from Los Angeles to Sydney is 2,150,960 Miles.

Revenue Passenger Miles (RPM) is a measure of how much passenger traffic an airline is serving, and is calculated by multiplying the number of revenue passengers (passengers paying a fare) by the distance travelled in miles. For this flight, the number of RPM is calculated as follows:

RPM = (Number of Revenue Passengers) x (Distance Travelled in Miles)

RPM = (285 Passengers) x (7,536 Miles)

RPM = 2,150,960 Miles

Therefore, the number of RPM flown on this flight from Los Angeles to Sydney is 2,150,960 Miles.

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Answer:

The third angle is 60

Step-by-step explanation:

The interior angle of a triangle is equal to the 180 minus the exterior angle.

[tex]180-80= 100[/tex]

So one of the interior angles is equal to 100

All of the interior angles of a triangle add up to 180

[tex]180=100+20+x[/tex]

[tex]x=60[/tex]

Answer:

The complete system of inequalities to model this scenario is s ≥ 0, l ≥ 0, 8s + 12l ≤ 160, and s - l < 30.

Step-by-step explanation:

Answer:  8s + 12l ≤ 160.

Step-by-step explanation: I would explain.. but I figured maybe I'd spare you the struggle and give you the answer. If you NEED steps, DM me.

The x intercept shown in the table are -2 and 2

The y intercept shown in the table is -4

The x-intercept of a graph is the point at which the graph crosses the x-axis, i.e., the y-coordinate of the point is 0. In other words, it's the solution to the equation y = 0.

The y-intercept of a graph is the point at which the graph crosses the y-axis, i.e., the x-coordinate of the point is 0. In other words, it's the solution to the equation x = 0.

In the table x- and y-intercepts are the values where the y values and x value are zero

x intercepts = -2 and 2

y intercepts = -4

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In order to achieve a bigger splash in their next trial, all the students must need to do is use a ball with a larger circumference.

Displacement and volume are defined as a dimensional object dropped into a liquid that will always displace its own volume from the liquid.

For a basketball, the circumference is a function of its volume. In other words, the larger the circumference, the larger the volume.

This defines that a basketball with a larger volume will displace more water from the pool than one with a lower volume.

Finally, to make a bigger splash, a basketball with a larger circumference would be needed.

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Answer:

Alex deleted 45 selfies.

The value of q is -106 and the required equation is given by q=-106

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here: The statement of an equation" 336 is 230 decreased by q"

230 is decreased by q is equivalent to 230 substracted by q and the number obtained by the above operation is equal to 336

Thus we have the equation as follows

230-q=336

q=230-336

q=-106

Hence, The value of q is -106 and the required equation is given by q=-106

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Answer:

4/3

Step-by-step explanation:

to find slope just choose any two points on the line and subtract them. I prefer choosing points that lie on the grid for instance in #11

I will choose Point 1: (4,3) and Point 2: (1,-1) because the intersect the grid and I can do 'clean' subtractions.

Slope = rise/run

= change in y/change in x

= y2-y1/x2-x1

= ( -1 - 3 ) / ( 1 - 4 )

= - 4 / -3

= 4/3

The best-fit line to represent the black data points is the blue line.

The plot of absorbance vs. concentration shows 8 data points with 3 lines drawn to represent the data. In order to determine the best-fit line, we need to evaluate the lines based on how well they represent the data points.

(a) The red line is the middle line and goes through 1 data point, with 3 data points above it and 4 data points below it. This line has a slope that is between the slopes of the other two lines. However, it doesn't go through many of the data points and the slope is not consistent with the majority of the data points.

(b) The green line is the top line and touches 3 of the data points, with the rest of the data points below it. This line has a steeper slope compared to the red line, but it doesn't touch many of the data points and has a significant deviation from the majority of the data points.

(c) The blue line is the bottom line and has 2 data points below it and 6 data points above it. This line has a slope that is more consistent with the majority of the data points, and it has the least deviation from the data points compared to the other two lines.

In mathematical terms, the blue line has the least sum of squared residuals, meaning it has the smallest difference between the observed values and the predicted values.

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Answer: The hypotenuse are both 13 cm

Step-by-step explanation:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

So, in this case:

c^2 = a^2 + b^2

c^2 = 5^2 + 12^2

c^2 = 25 + 144

c^2 = 169

c = √169

c = 13

So the length of the hypotenuse is 13 cm.

Next, we can use the Pythagorean theorem to find the length of the segments into which the bisector of the right angle divides the hypotenuse. Let's call the length of the segments x. Then, the segments form two right triangles with legs of length x and (13-x)/2.

Using the Pythagorean theorem on each triangle, we have:

x^2 + ((13-x)/2)^2 = 13^2

x^2 + (13-x)^2/4 = 169

x^2 + (13^2 - 2x(13) + x^2)/4 = 169

x^2 + (13^2 - 2x(13))/4 = 169

x^2 + (169 - 26x)/4 = 169

x^2 + 169 - 26x = 676

x^2 - 26x + 507 = 0

Now, we can use the quadratic formula to find x:

x = (-b ± √(b^2 - 4ac)) / 2a

a = 1, b = -26, c = 507

x = (26 ± √(26^2 - 4 * 1 * 507)) / 2 * 1

x = (26 ± √(676)) / 2

x = (26 ± 26) / 2

x = 26 / 2

x = 13

So, the lengths of the segments into which the bisector of the right angle divides the hypotenuse are both 13 cm, to the nearest tenth.

The number of possible seating arrangements depends on the conditions specified in the problem is 435,456,000

Permutation is the arrangement of objects in a specific order.

a. The mathematics majors occupy the first 6 seats:

The number of permutations of the mathematics majors is simply 6! (6 factorial), since they all have to sit together in a block. After the mathematics majors are seated, we have 12 chairs left for the chemistry and physics majors, who can be arranged in (5 + 7)! / (5! x 7!) ways.

Finally, the total number of permutations for the mathematics majors to occupy the first 6 seats is

=>  6! x (5 + 7)! / (5! x 7!).

=> 570240

b. The mathematics majors cannot occupy the first 6 seats:

In this case, the number of permutations of the mathematics majors is (18 - 6)! / (6! x (12 - 6)!). This is because they cannot occupy the first 6 seats and have to be arranged in the remaining 12 chairs.

Next, the number of permutations for the chemistry majors is (12 - 6)! / (5! x (12 - 6 - 5)!).

Finally, the number of permutations for the physics majors is (12 - 6 - 5)! / 7!.

The total number of permutations for this scenario is

=> (18 - 6)! / (6! x (12 - 6)!) x (12 - 6)! / (5! x (12 - 6 - 5)!) x (12 - 6 - 5)! / 7!.

=> 668250

c. Students with the same major sit in a block:

In this case, the number of permutations of the chemistry majors is simply 5! since they have to sit together in a block.

Similarly, the number of permutations of the mathematics majors is 6! and the number of permutations of the physics majors is 7!.

Finally, the total number of permutations for students with the same major to sit in a block is

=> 5! x 6! x 7!.

=> 435456000

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The triangles ∆DEF and ∆DGF are isosceles triangles, and the values of the following lengths are: EF = 44, FG = 36, and DF = 62.

EH is a perpendicular bisector of FD implies triangle ∆DGF is an isosceles triangle so:

FE is equal to ED and FG is equal to GD

7x + 9 = 9x - 1

9x + 7x = 9 + 1 {collect like terms}

2x = 10

x = 10/5 {divide through by 5}

x = 2

7y + 8 = 10y - 4

10y - 7y = 8 + 4 {collect like terms}

3y = 12

y = 12/3 {divide through by 3}

y = 4

EF = 7(5) + 9 = 44

FG = 7(4) + 8 = 36

DF = 2(FH)

FH = 3(5) + 4(4) = 31

DF = 2(31) = 62.

Therefore, the isosceles triangles ∆DEF and ∆DGF have the values of the following lengths as: EF = 44, FG = 36, and DF = 62.

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The measures of the arcs MN in the circles are 105, 100, 106 and 66

Circle 1

From the question, we have the following equation that can be used in our computation:

MN = PQ

This means that

2MN + 85 + 65 = 360

So, we have

2MN = 210

Divide by 2

MN = 105

Circle 2

Here, we have

MN = 2MP

Also, we have

MP + MQ = 180

So, we have the following equation

1/2MN + 130 = 180

So, we have

MN = 100

Circle 3

Here, we have

PR = 74

So, we have the following equation

MN + 74 = 180

So, we have

MN = 106

Circle 4

Here, we have

PN = PM = 147

So, we have the following equation

MN + 2 * 147 = 360

So, we have

MN = 66

Hence, the measures of the arcs are 105, 100, 106 and 66

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The persuasion technique that is being used in this case is the black-or-white technique.

This is a persuasion strategy or technique that implies showing the audience there are only two possibilities and the two possibilities are very different (black-or-white). This aims to show the audience they should choose a specific possibility because it is better than the other alternative.

This is the technique being implemented here because the speaker purposes two possibilities buying Mopster mop or having a dirty floor to encourage the audience to purchase this product.

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