Select the correct answer from each drop-down menu.


This graph shows the relationship between demand and price for goods sold at a shop. Anna plots the data on a scatter plot and draws a line of best fit to represent the relationship as shown.

This is not the line of best fit because the line . Anna could get a better fit by the y-intercept and the slope.

Answer:

14

Step-by-step explanation:

|-14|=14

Answer:

226,800

Step-by-step explanation:

Calculator

Answer:226,800

Step-by-step explanation:

Answer:  [tex]-6\sqrt{2}+2\sqrt{3}-\sqrt{6}+9[/tex]

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Explanation

Let:

[tex]x = \sqrt{2}\\\\y = \sqrt{6}-\sqrt{3}\\\\[/tex]

We can then say:

[tex](\sqrt{2}-\sqrt{3}+\sqrt{6})(\sqrt{6}-\sqrt{3})\\\\(\sqrt{2}+\sqrt{6}-\sqrt{3})(\sqrt{6}-\sqrt{3})\\\\(x+y)(y)\\\\xy+y^2\\\\2\sqrt{3}-\sqrt{6}+9-6\sqrt{2}\\\\-6\sqrt{2}+2\sqrt{3}-\sqrt{6}+9\\\\[/tex]

Check out the screenshot below for the scratch work on how I computed the [tex]xy[/tex] and [tex]y^2[/tex] terms.

The probabilities are:

The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.

Here we have:

So the total number is 5 + 7 + 4 + 8 = 24.

Then:

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Answer:

1) C. x-1 tells us that it has decreased by a value

2) original number of apples

3) 4(x-1)=28. Divide by 4, then take the 1 over

Answer:

The correct answer is B.

Step-by-step explanation:

Pay per month depends on hours of training, so hours of training is the domain, and pay per month is the range.

Answer:

P = 156 units

Step-by-step explanation:

the perimeter (P) is the sum of the 3 sides of the triangle.

tangents from an external point to the circle are congruent , that is

HK = HJ ( substitute values )

13x - 8 = 7x + 4 ( subtract 7x from both sides )

6x - 8 = 4 ( add 8 to both sides )

6x = 12 ( divide both sides by 2 )

x = 2

Then

HK = HJ = 7x + 4 = 7(2) + 4 = 14 + 4 = 18

and

KI = IL = 21

then

GL = GJ = 60 - 21 = 39

Thus

P = HK + KI + IG + GJ + JH = 18 + 21 + 60 + 39 + 18 = 156 units

The combined total of their contracts is $1,296,250

The values of the contracts are given as:

The combined total is represented as:

Total = Exxon Mobil + Aerospace

Substitute known values

Total = $756,733 + $539,517

Evaluate the sum

Total = $1,296,250

Hence, the combined total of their contracts is $1,296,250

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The probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12

Flavor of ice cream: Vanilla, Strawberry, Chocolate

Topping: Rainbow sprinkles, Caramel sauce, Nuts, Cherries

Using the dataset above, we have:

Ice cream = 3

Topping = 4

The number of different combinations is calculated as:

Combination = ice cream * Topping

Evaluate

Combination = 3 * 4

Combination = 12

Hence, the number of different combinations is 12

The vanilla ice cream with chocolate a rainbow sprinkles is just one of the 12 combinations.

So, the probability is:

P = 1/12

Hence, the probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12

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The true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.

In this situation, the function is f (t), when t is a value between 0 and 30. The cost is $0 for the first 30 minutes

When t is a value between 30 and 90, the cost is US$ 5 if the connection takes between 30 and 90 minutes.

Here, the true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.

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There is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset

The dataset of doctor A is given as:

643 634 670 658 636 624 641 655 649 629

The dataset of doctor B is given as:

651 625 622 624 631 621 653 647 646 646

Using a statistical calculator, we have:

Doctor A

Hence, the mean absolute deviation is 11.28 for Doctor A’s and 12 for Doctor B’s data set on glasses

In a dataset, the larger the mean absolute deviations value, the larger the variation.

By comparison, 12 is greater than 11.28

Hence, there is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset

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Answer:

10√7

Step-by-step explanation:

[tex]4 \sqrt{7} + 3 \times 2 \sqrt{7} \\ 4 \sqrt{7} + 6 \sqrt{7} \\ 10 \sqrt{7} [/tex]

Answer:

10√7    

Step-by-step explanation:

To combine the radicals, you must have the same number under both radicands. Luckily, you can simplify one of the radicands. This is done by separating the radicand (√28) into its common factors (√4 x √7) and taking the square root of one of the factors (√4 = 2).

4√7 + 3√28                                 <---- Original expression

4√7 + 3(√4 x √7)                         <---- Expand √28

4√7 + (3 x 2)√7                           <----- Take √4

4√7 + 6√7                                   <---- Multiply coefficients

10√7                                            <---- Add both terms

The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.

(x-h)² = 4a(y-k)

It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).

Therefore
(x -2)² = 4a(y +2)

The parabola passes through the point (3,-1)

(3-2)² = 4*a(-1+2)

1 = 4 a

a = 1/4

The equation of the parabola is

(x-2)² = (y+2)

Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

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Answer:

D

Step-by-step explanation:

Answer:

-0.5

Step-by-step explanation:

Step-by-step explanation:

the answer is C since y is less than. meaning that the line should be dashed and below the graph.

comment if you have any doubts.

The least integer value that satisfies the inequality   [tex]2^{x-7} - 3[/tex] ≥ y is 7.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round.

Here, In the given function

            Least possible value of 2ˣ⁻⁷ is 1

                     2ˣ⁻⁷ = 2⁰

    On comparing both sides, we get

                 x-7 = 0

                  x = 7

Thus, The least integer value that satisfies the inequality   2ˣ⁻⁷-3≥ y is 7.

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Answer:

7

Step-by-step explanation:

edg 2022

Answer:

C)   y = -3x + 15

Step-by-step explanation:

Let's start with the hours required, 15.  For each day worked we can subtract 3 hours.  X days would mean 3x hours.  Subtract that from the goal of 15 hours:

15 - 3x

The time remaining, y, is given by the equation 15 - 3x.

Rearrange the equation to match the format in the options,

y = 15 - 3x

y = -3x + 15

Option C

The equation on the graph is shown (I really hope this helps)

Equation of the translated graph is;

⇒y = cos(x - 30) - 1

What is equation of translated graph?

Equation of the translated graph is solved as;

g(x) = f(x + k) + C

Where, k and C are points.

Given that;

The equation is;

y = cos x

Since, Graph of function y = cosx is translated by (30, -1).

So, Equation of translated graph will be;

y = cos(x - 30) - 1

Hence, The equation of the translated graph will be;

⇒ y = cos(x - 30) - 1

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Answer: Heyaa! ^^

Your Answer when multiplied is.. 6x²−11x−10

Step-by-step explanation:

                    - FOIL EXPLANATION -

It stands for "First, Outer, Inner, Last"

· multiplying the First terms,

· multiplying the Outer terms,

· multiplying the Inner terms, and

· multiplying the Last terms

Hopefully this helps you! ~

Answer:

same thing for the rest, you just change the value of the radius according to the question

Step-by-step explanation:

area = pi * radius²

1)

a = pi * 10²

a = ~3.14 * 100

a = 314 mi²

Step-by-step explanation:

oh, come on. you can just use common sense.

a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.

for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).

a)

the local minimum values (y) are

-2, -1

b)

the values of x where it had these minimum values are

-1, +3

The best statement that describes the angle JKL is inscribed angle.

An inscribed angle in a circle is formed by two chords that have a common end point on the circle. The chord JK and LK intersect in the circle.

The angle ∠JKL is not an obtuse angle because it's less than 90 degrees.

The angle ∠JKL is not a vertical angle because it's not vertically opposite  any angle.

The angle ∠JKL is not a central angle because it was not from from the centre of the circle.

The angle is an inscribed angle because it was formed by the intersection of two chords in the circle.

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The complete question is

"Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?

x g(x)

2 5

4 7

6 9

f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined."

The correct option from the given function are A; f(x) has a greater slope.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

The slope of a function in the form of y = mx + C is m,

So the slope in the function

f(x)=4x+10

m = 4

Now when you have a function but you only have a table to evaluate it, to calculate the slope

(p, q) = (4, 7)

(x, y) = (6, 9)

This means that:

[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{9-7}{6-4}\\\\m =1[/tex]

Now that we have both slopes, the slope of g(x) = 1 and the slope of f(x) =4,

Thus, f(x) has a greater slope than g(x).

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Answer:

                  Monomial    Binominal     Trimoninal

Degree 1:        -9x               x + 6

Degree 2:       -4[tex]x^{2}[/tex]             [tex]4x^{2} -x[/tex]       [tex]x -3x^{2} + 1[/tex]

Degree 3:        4[tex]x^{3}[/tex]            5 - 2[tex]x^{3}[/tex]         [tex]3x^{2} + 3x^{3} -10[/tex]

Step-by-step explanation:

I do not know how to explain how I got to this answer, but here is the answer.

Answer:

the answr is 87 jistg ebcaujse

Step-by-step explanation:

3,500 tickets were sold for $15 each and 4,600 tickets were sold for $25 each.

Let x be the number of $15 tickets and y be the number of $25 tickets.

We know that:

x + y = 7,500 (the total number of tickets sold)

15x + 25y =  153,500 (the total amount of money made from ticket sales)

We can use the first equation to express y in terms of x:

y = 7,500  - x

We can substitute this expression of y into the second equation:

15x + 25(7,500  - x) = 153,500

Solving for x:

15x + 25(7,500) - 25x =  153,500

15x + 187500 - 25x =  153,500

-10x = -34,000

x = 3400

Therefore, 3,400 tickets were sold for $15 each and  7,500 - 3,500 = 4000 tickets were sold for $25 each.

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Answer:  B.   5/13

This is the same as writing [tex]\frac{5}{13}[/tex]

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Reason:

We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.

a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse

[tex]a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+12^2}\\\\c = \sqrt{25+144}\\\\c = \sqrt{169}\\\\c = 13\\\\[/tex]

The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.

Now we can compute sine of theta

[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{5}{13}\\\\[/tex]

This points us to choice B as the final answer.

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