Solve the following system of inequalities
graphically on the set of axes below. State the
coordinates of a point in the solution set.
y > -x + 2
y< 1/2x-4

By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

Answer:

The best buy is the 16-ounce drink

Step-by-step explanation:

here, we see that,

12 ounce = 3/4 (16 ounce)

So, the price should reflect that,

i.e,

price of 12 ounce drink = 3/4 (price of 16 ounce drink)

By this metric,

Price of 12 ounce drink = 3/4 ( 1.19)

Price of 12 ounce drink = $0.8925

So, 12-ounce drink should cost $0.8925 but the actual drink costs $0.99,

So, it is more expensive than it should be,

So, the best buy is the 16-ounce drink

Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

Answer: p=10

Step-by-step explanation:

Plug in 10 to all areas where p is and youll get 12!

The most recent number is 21960

Two years ago it was 16300

Subtract the number of visitors 2 years ago from the number of visitors now to get the increase over the two year period

21960

- 16300

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

5660

The increase over the two year period is 5,660 visitors

Answer:

7

Step-by-step explanation:

Answer:

We know our answer is correct because 11 + 12 + 13 equals 36 as displayed Below

Explanation

3X + 3 = 36 3X + 3 - 3 = 36 - 3 3X = 33 3X/3 = 33/3 X = 11 Which means that the first number is 11, the second number is 11 + 1 and the third number is 11 + 2. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36 We know our answer is correct because 11 + 12 + 13 equals 36 as displayed above. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13.  11 + 12 + 13 = 36

Plz mark brainliest if helps Also hope helps:)

Polynomials are expressions represented with variables and constants

The values of a, b and c are:

\(a = 2\)

\(b = -4\)

\(c =3\)

The function is given as:

\(y = (x -1)^a(x -b)^c\)

The polynomial has a multiplicity 2 at x = 1.

So, we have:

\(y = (x -1)^2(x -b)^c\)

The above means that:

\(a = 2\)

The function is a 5th degree polynomial.

This means that:

\(a + c = 5\)

Make c the subject

\(c = 5 -a\)

Substitute 2 for a

\(c = 5 -2\)

\(c = 3\)

The polynomial has a multiplicity 3 at x = -4.

So, we have:

\(y = (x -1)^2(x + 4)^3\)

The above means that:

\(b =-4\)

Hence, the values of a, b and c are:

\(a = 2\)

\(b = -4\)

\(c =3\)

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Answer:

27

Step-by-step explanation:

9 divided by 1/3 is 9 times 3 which is 27

The area of the composite figure in this problem is given as follows:

284.5 mm².

The figure in this problem is composed as follows:

The area of the rectangle is given as follows:

18 x 10 = 180 mm².

The area of the triangle is given as follows:

0.5 x 19 x 11 = 104.5 mm².

Then the total area is given as follows:

180 + 104.5 = 284.5 mm².

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Step-by-step explanation:

I want to say B) 130 but not 100% sure. Sorry if my answer is wrong.

Answer:

Slope = 2

Step-by-step explanation:

Rise/run = 2/1 = 2. You can also use slope formula m = (y2-y1)/(x2-x1)

The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).

An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.

Workers who complete the computer security course will each receive a reimbursement of $350.

We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.

Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.  

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Answer:

Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2 • 2 • 2 or 8 equally likely outcomes. Rolling a six-sided die and flipping a coin: The sample space is 6 • 2 or 12 equally likely outcomes.

...

First coin Second coin outcome

H T HT

T H TH

T T TT

Step-by-step explanation:

sorry if its wrong mate

Answer:

3/4 + m

Step-by-step explanation:

Answer:

3/4 + m

Step-by-step explanation:

The value of such that = k * 180, where k is an integer, is the value at which cotangent is undefinable.

Cotangent, or cot, is one of the six standard trigonometric functions. Cotangent of an angle is defined as the ratio of the adjacent side to the opposite side of a right-angled triangle.

The value of cotangent is undefined when the denominator is zero. This implies that cotangent is undefined at angles where the value of sine is zero.

Since the sine function is periodic and has a period of 360 degrees, the values of sine repeat themselves after every 360 degrees.

For this reason, cotangent is undefined at angles such that θ = k * 180, where k is an integer.

That is, cotangent is undefined at 0°, 180°, 360°, and so on. It is also important to note that cotangent is a periodic function, and its values repeat every 180 degrees.

Therefore, cotangent is undefined at 0° + k * 180°, where k is an integer.

To summarize, the value of Θ at which cotangent is undefined is such that θ = k * 180, where k is an integer.

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Answer:

angle C=88 degrees

Step-by-step explanation:

angles A+B+C+D=360

angles A+C=360-119-65=176

angle A=angle C because it is a kite

2C=176

angle C=88 degrees

Answer:

204768

Step-by-step explanation:

You just need to multiply 3762 with 54

Answer:

It would be proportional.

Step-by-step explanation:

Every 2 numbers on the X value, The y vaulue goes up by 20. It is the same number that it is inreasing by each time.

Answer:

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

When the ball is punted the value of x is zero, therefore f(0) is:

Answer:

1.5 feet

Step-by-step explanation:

Given function,

→ f(x) = (-16/1225)x² + (7/5)x + 1.5

Required function,

→ f(x) = f(0)

→ f(0) = (-16/1225)x² + (7/5)x + 1.5

Now the needed height is,

→ (-16/1225)x² + (7/5)x + 1.5

→ (-16/1225)(0)² + (7/5)(0) + 1.5

→ 0 + 0 + 1.5

→ 1.5 feet

Hence, the height is 1.5 feet.

Based on the information, the answer is A). While wages have increased, spending power has mostly remained the same since 2000.

The fact that the cost of living has also increased, eating up much of the gains from wage growth. In addition, many Americans are now working multiple jobs, which can leave them with less time and energy to spend money on discretionary items.

According to the Bureau of Labor Statistics, the average hourly wage for all workers in the United States increased by 16.3% between 2000 and 2021. However, the Consumer Price Index (CPI), which measures the cost of a basket of goods and services, increased by 26.5% over the same period. This means that the purchasing power of the average worker has actually declined by 10.2% since 2000.

The rise of the gig economy has also contributed to the decline in spending power. Many Americans are now working multiple jobs, often in low-wage industries such as food service and retail.

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While wages have increased, spending power

a)has mostly remained the same since 2000

b) as wages go up, so does spending power

c) the spending power of men is less than the spending power of the overall population

d) the wages of women have increased faster than the wages of men

Answer:

(5, 3 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

D (5, - 3 ) → (5, - (- 3) ) → (5, 3 )

Answer:

(5,3)

Step-by-step explanation:

got it right on edg

The solution to the algebraic problem is \(x^{2}\)

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

(\(x^{3}\) – 1) = (x+2)

On dividing (\(x^{3} - 1\)) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

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answer:

any value below 1

r<1

examples:

12×0=1

12×0.99= 0.0825

12×-12=-144 (which is less than 12)

etc.

Answer:

130.25 ft.

Step-by-step explanation:

The semi circle has a length 1/2 of the circumference of the circle with a diameter of 25

C = πd = 3.14(25)

So, the semi circle has a length = 1/2(3.14)25) = 39.25

The distance for the rectangle = 33 + 25 + 33 = 91

Therefore, the total perimeter = 91 + 39.25 = 130.25

Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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Answer:

26 years.

Step-by-step explanation: