Graph g(x), where f(x) = 2x − 5 and g(x) = f(x + 1).
A.) a line labeled g(x) that passes through points 0, negative 4 and 2, 0
B.) a line labeled g(x) that passes through points 0, negative 3 and 4, 5
C.) a line labeled g(x) that passes through points negative 5, negative 3 and 0, 7
D.) a line labeled g(x) that passes through points 0, negative 7 and 5, 3

According to the information, we can infer that the area of this polygon is 34 units².

To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.

Rectangle 1

6 * 3 = 18

Rectangle 2

2*4=8

Triangle 1

2 * 4 / 2 = 4

Triangle 2

2 * 4 / 2 = 4

Total Area

18 + 8 + 4 + 4 = 34

Based on the above, we can infer that the total area of the polygon is 34 ² units.

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Answer: 30 percent of 19.99 is 13.99

Step-by-step explanation: if you add a 30% discount to the 19.99$ the price will be lowered by 6.00$.

Answer:

495

Step-by-step explanation:

using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

then

12\(C_{4}\)

= \(\frac{12!}{4!(12-4)!}\)

= \(\frac{12!}{4!(8!)}\)

cancel 8! on numerator/ denominator

= \(\frac{12(11)(10)(9)}{4!}\)

= \(\frac{11880}{4(3)(2)(1)}\)

= \(\frac{11880}{24}\)

= 495

Answer:

shorter leg = 21 ft

longer leg = 28 ft

hypotenuse = 35 ft

Step-by-step explanation:

Let's call the longer leg of the triangle "b", the shorter leg "a", and the hypotenuse "h"

Then we have the following two equations:

a = b - 7

h = b + 7

And we can use the Pythagorean theorem to relate all three sides of the triangle:

\(h^2=a^2+b^2\\(b+7)^2=(b-7)^2+b^2\\b^2+14b +49=b^2-14b+49+b^2\\0=b^2-28b\\0=b*(b-28)\)

Therefore there are two possible solutions to this equation: b = 0 or b = 28 ft.

So we take the one that is different from zero (since we are looking for the side of a triangle) That is: b = 28 ft

Then hypotenuse = 28 + 7 = 35 ft

and the shorter leg = 28 - 7 = 21 ft

Answer:

87653210=highest

01235678=least

Answer:

Least number: 10235678

Greatest number: 87653210

Answer: True.

Step-by-step explanation:

Here we have the number:

26,59,360

To find the place value of the 5, we first need to count the number of decimals at the right of the 5 (until we reach the decimal point)

For this case, at the left of the 5 we have 4 decimals (9, 3, 6 and 0)

Then the place value of the 5 in that number will be 10^4

this is equal to:

10^4 = (10)*(10)*(10)*(10) = 10,000

This means that the place value of the 5 is then thousand.

Then the statement is true.

Answer:

\(3x^2y\)

Step-by-step explanation:

The cube root of 27 is 3.

With indices, cube rooting them is the equivalent of multiplying by 1/3 so:

\(x^2y\).

Put these 2 things together and you get:

\(3x^2y\)

Answer:

\(A=376.99\ cm^2\)

Step-by-step explanation:

We need to find the lateral surface area of the cylinder of radius 6 cm and height of 10 cm.

We need to find the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is given by :

\(A=2\pi rh\\\\A=2\pi \times 6\times 10\\A=376.99\ cm^2\)

So, the lateral surface area of the cylinder is \(376.99\ cm^2\).

Answer:

y  =  − 2 /3 x  + 4

Step-by-step explanation:

Answer: y=-2/3x + 4

Step-by-step explanation:

======================================================

Explanation:

The five number summary is the set of these items, in this exact order

So with the five number summary 4.6, 14.3, 19.7, 26.1, 31.2, we see that

Q1 = 14.3 and Q3 = 26.1

Subtracting these two values gets us the IQR (interquartile range)

IQR = Q3 - Q1

IQR = 26.1 - 14.3

IQR = 11.8

Answer:

\(\huge\boxed{-2}\)

Step-by-step explanation:

Use any two points from the line.

Let them be:

(x1,y1) = (0,-2)

(x2,y2) = (-1,0)

Now,

\(\displaystyle Slope = \frac{y_2-y_1}{x_2-x_1} \\\\Slope = \frac{0-(-2)}{-1-0} \\\\Slope = \frac{2}{-1} \\\\Slope = -2\\\\\rule[225]{225}{2}\)

Hope this helped!

Number of tenths are in the sum is 8

The decimal numeral system is the standard system for denoting integer and non-integer numbers.

Addition is the action or process of adding something to something else.

Given,

The numbers 0.65 and 0.24

Add them together

0.65 + 0.24 = 0.89

Here the number is a decimal number that is 0.89

If a number has a decimal point , then the first digit to the right of the decimal point indicates the number of tenths.

Therefore number 8 is in the tenth place

Hence, the number of tenths in the sum is 8

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Answer:the slant height of the triangular pyramid is approximately 11.4132 centimeters.

The probability of roll outcome:

1st 2 = 1/6

2nd prime = 1/2, and

3rd more than 4 = 1/3.

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

In a fair die, considering the outcomes from the question:

probability of the 1st roll to be 2 = 1/6

probability of 2nd roll to be prime = 3/6

probability of 2nd roll to be prime = 1/2

probability of 3rd roll to be more than 4 = 2/6

probability of 3rd roll to be more than 4 = 1/3

Therefore, the fracions 1/6, 1/2, and 1/3 are the probabilities of the 1st, 2nd, and 3rd rolls outcome respectively.

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Answer:

10, 20, 30, 40, 50, 60

Step-by-step explanation:

you just have to list the multiples

pls vote brainliest if this helped

Answer:

10, 20, 30, 40, 50, 60

Step-by-step explanation:

Answer:

1. 90

4. 468

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.

The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

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Answer: its

12 4

_

7

Step-by-step explanation:

Answer:

12 4/7

Step-by-step explanation:

5 1/7 + 7 3/7 =

= 5 + 1/7 + 7 + 3/7

= 5 + 7 + 1/7 + 3/7

= 12 4/7

Answer: 12 4/7

Answer:

  \(a=\dfrac{\Delta v}{t}\)

Step-by-step explanation:

Acceleration is the change in velocity per unit time. It is usually represented by the letter "a". An appropriate formula is ...

  \(\boxed{a=\dfrac{\Delta v}{t}}\)

The required equation for determining the acceleration from a velocity-time graph is \(a=\dfrac{\Delta v}{t}\)equation is a=delta v over t.

We know that,

Acceleration is known as the rate of change of velocity per unit time.

The velocity vs time graph is the graph plotted between the change in velocity with the change in time.

\(a=\dfrac{\Delta v}{t}\)

Hence the required equation for determining the acceleration from a velocity-time graph is \(a=\dfrac{\Delta v}{t}\).

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To find the maximum height, we must find the x value at which the maximum height occurs.

The maximum height occurs at x = 0 because that is where y is the largest.

When we plug x= 0 into the function that is given in the question, we get 630 ft.

Hope it helps!

Answer:

600

Step-by-step explanation:

400=800 not

600/ tama po yan

\(x=\frac{1+4f-\sqrt{16f^{2}+8f+25 } }{2}\)

Answer: 1256.63706

Step-by-step explanation: A=(π20)2

The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.

To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:

Area = (1/2) * r^2 * (θ - sinθ)

Where:

r is the radius of the circle (r = 20 in your case).

θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).

Let's calculate it:

θ = 47° * (π / 180) ≈ 0.8203 radians

Now, plug these values into the formula:

Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))

Area ≈ (1/2) * 400 * (0.8203 - 0.7317)

Area ≈ (1/2) * 400 * 0.0886

Area ≈ 17.72 square units

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Answer:

Parameter estimates

The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.

The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.

The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.

Step-by-step explanation:

To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,

Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)

Qx = 10 - 10 + 20 + 25

Qx = 45 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family is 45 liters.

If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,

Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)

Qx = 10 - 10 + 30 + 25

Qx = 55 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.

To determine the demand function, we need to solve for Qx in terms of the other variables,

Qx = 10 - 5Px + 0.001M + 10Py

Qx - 10Py = 10 - 5Px + 0.001M

Qx = (10 - 5Px + 0.001M) / 10Py

Therefore, the demand function is:

Qx = (10 - 5Px + 0.001M) / 10Py

To find the inverse demand function, we need to solve for Px in terms of Qx.

Qx = 10 - 5Px + 0.001M + 10Py

5Px = 10 - Qx - 0.001M - 10Py

Px = (10 - Qx - 0.001M - 10Py) / 5

Therefore, the inverse demand function is,

Px = (10 - Qx - 0.001M - 10Py) / 5

well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.

now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)

Answer:

-4

Step-by-step explanation:

(f(a+h)-f(a))/h=(2-4(a+h)-2+4a))/h=-4h/h=-4

Answer:

if the slope is 0, it is horizontal. and remember, m is the slope. (0)

Step-by-step explanation:

x is 9, y is 5.

slope intercept form is y=mx+b, so you plug in the numbers.

5= 0*9+5

or, 5=5

Therefore , the solution of the given problem of area comes out to be

r = 8.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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