3. Step 1: Complete the table for y ≥ -x + 3.

Answer: 5148 can be expressed as a product of prime factors using power notation. To find the prime factorization of 5148, we can divide it by the smallest prime number that divides it until the quotient is a prime number.

5148 = 2 * 2574

2574 = 2 * 1287

1287 = 3 * 429

429 = 3 * 143

143 = 11 * 13

So the prime factorization of 5148 is:

5148 = 2^2 * 3^3 * 11 * 13

Therefore, 5148 can be expressed as a product of prime factors using power notation as 2^2 * 3^3 * 11 * 13.

Step-by-step explanation:

Answer:2² x 3² x 11 x 13

Step-by-step explanation:

5148 - This is divisible by 9 as the sum of digits is 18 which a multiple of 9.

5148/9 = 572

572 is divisible by 4 as the sum of last two digits is a multiple of 4.

572/4 = 143  

143 is divisible by 11 and 13.

So, the factors are 4 x 9 x 11 x 13 or 2² x 3² x 11 x 13

Cheers

Answer: 23 percent

23 percent of attendees supported the home team.

The percentage of people supporting the home team is 22.98%.

Percentage is a way to express a fraction or proportion as a relative quantity out of 100. It is often denoted by the "%" symbol. It's used to compare and represent quantities, such as discounts, proportions, or rates, in a more easily understandable form. To find the percentage of people who supported the home team, we need to divide the number of people supporting the home team by the total number of people attending the game and then multiply by 100.

Therefore,

Calculating the percentage of people supporting the home team -

= (Number of people supporting the home team / Total number of people attending) x 100%

Substituting the values -

= (667 / 2900) x 100%

= 667/29

= 22.98

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Answer:I think that the answer is the answer to the question

ok

Step-by-step explanat

By calculating , the values of gof(-4) = -67 , f(g(-4)) = -57  ,

g(f(x)) = -3x^2 - 19 and -f(x) + 3g(x) = = x^2 + 9x + 24  .

What is a function ?

function can be defined as which related an input to the given any output of the following.

Given ,

functions

f(x) = -x^2- 8

g(x) = 3x+5

So , the value of (gof)(-4) =

gof(x) = 3 (-x^2 - 8 ) + 5

= -3x^2 - 24 + 5

= -3x^2 - 19

gof(-4) =  -3 (-4*-4) -19

= -3 (16 ) - 19

= -48- 19

= -67

gof(-4) = -67

g(x) = 3x+5

g(-4) = 3*-4 + 5

= -12 + 5

= -7

f(g(-4)) = - (-7*-7) - 8

= -49 - 8

= -57

g(f(x)) = gof(x) = 3 (-x^2 - 8 ) + 5

= -3x^2 - 24 + 5

= -3x^2 - 19

-f(x) = -(-x^2-8) = x^2 + 8

3g(x) = 3 * (3x+5)

= 9x + 15

-f(x) + 3g(x) = x^2 + 8 + 9x + 15

= x^2 + 9x + 24

Hence, By calculating , the values of gof(-4) = -67 , f(g(-4)) = -57  ,

g(f(x)) = -3x^2 - 19 and -f(x) + 3g(x) = = x^2 + 9x + 24  .

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Answer:

12:30 P.M.

Step-by-step explanation:

Emily took 30 minutes to make the dough and 1 hour to bake all of the cookies. In total, that's 30 minutes + 1 hour = 90 minutes (1 hour and 30 minutes). If it were 1:30 P.M. when Emily took the last batch of cookies out of the oven, then 90 minutes before that would be 1:30 P.M. - 90 minutes = 12:30 P.M. So, Emily started making the cookies at 12:30 P.M.

The number of games the team is projected to win is 56 games.

four times the difference of thirty-nine and five times the difference of eighteen and thirteen games

4{39 - 5(18 - 13)}

open parenthesis

= 4{39 - 5(5)}

= 4{39 - 25)

= 4(14)

= 56 games

Hence, based on the given statement, it is predicted that the team will win 56 games.

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Answer:2.5:1

Step-by-step explanation:

42

Step-by-step explanation:

Using matrices the value of y is calculated to be -2

A determinant is a square array of numbers or variables surrounded by vertical lines.

This method is applied by first solving the determinant of the problem

D = 2 * 6 - 2 * 7

D = 12 - 14

D = -2

Solving for y

Replace the second column with the column at the right side of the equality sign. Solve the determinant in this condition and divide with the first determinant D = -2

Δ = (2 * 6) - (2 * 4) = 12 - 8 = 4

y = Δ / D

y = 4 / -2

y = -2

hence y = -2

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Answer:

28 words Maria got right

Step-by-step explanation:

70% of total words Maria got right

Therefore:

[tex]\frac{70}{100} *40= 28[/tex]

Answer: When m = 3/1 = 3

Step-by-step explanation:

A system of equations will have infinitely many solutions when the equations are equivalent, that is, they represent the same line. This can happen when the equations are multiples of each other.

In this case, the first equation y = mx + 3 is a standard form equation of a line with slope m and y-intercept (0,3). The second equation -x + 3y = 9 can be written in slope-intercept form as y = (3/1)x + (-9/1).

To find the value of m that gives the system infinitely many solutions, we have to compare the slope of the two equations. The slope of the first equation is m, and the slope of the second equation is 3/1. Thus, the system will have infinitely many solutions when m = 3/1 = 3.

The time she expects to finish is 4:14 PM

What does division of fractions mean?

A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.

5 9/10 = 5.9 hours = 5 hours (0.9*60)  minutes=  5 hours 54 minutes

Count 5 hours from 10:20 am, it is 3:20 pm

Add 54 minutes, 3 hour 74 minutes

60 minutes = 1 hour

it will be 4 pm remaining minutes = 74-60= 14

So, the time she expects to finish is 4:14 PM

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The solution of the equation y = 3x + 2 at point (1, 5 ) is true.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is y = 3x + 2, and the point is ( 1,5). The solution for the expression will be written as,

y = 3x + 2

5 = ( 3 x 1 ) + 2

5 = 3 + 2

5 = 5

Hence, the correct solution for the equation is point ( 1, 5).

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Answer:Factor 3x^2-27. Step 1. Factor out of . Tap for more steps... Step 1.1. Factor out of . Step 1.2. Factor out of . Step 1.3. Factor out of . Step 2. Rewrite as . Step 3. Factor. Tap for

Step-by-step explanation:

The depreciation rages for the given 2021 models in first year are

1 . Range 8577 to 11436

2 . Range 13650 to 18200

What is depreciation?

is the discrepancy between the price you paid for the car and its future value. Cars typically lose value over time, unlike homes, which typically increase in value as time goes on. There are no hard and fast rules, but the first year's depreciation on a car is typically between 15% and 20%.

During the first year, the average depreciation for new cars is around 30 to 40 per cent, according to an article in the Globe and Mail. then depreciation range

• 1 . Then Depreciate

2021 RAV 4 LE FWD at $28,590

Depreciation range 30 % of 28590 to 40% of 28590

Range

8577 to 11436

2.

• 2021 BMW Coupe 2-series at $45,500

range 30% of 45500 to 40% of 45500

Range

13650 to 18200

Explanation:

Range of depreciation is 30 to 40%

which calculated by cost is multiplied with given percentage.

Hence, the depreciation rages for the given 2021 models in first year are

1 . Range 8577 to 11436

2 . Range 13650 to 18200

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Answer:

51 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. This means we can write an equation, where a represents the measure of the acute angle (which we need to find the larger one) and a + 12 is the measure of the larger angle.

a+(a+12)=90

2a+12=90

2a=78

a=39

Now add 12 to a to find the value of the larger angle.

39+12= 51

So the larger angle equals 51 degrees.

Hope this helped! If it did, pls give brainliest.

a) The formula to represent the relationship is y = 0.50x + 15

b) On a coordinate plane the graph will be a straight line because it is a linear function

c) the slope is 0.50 and y intercept is 15

2.(a) The slope of the line is calculated to be 2/5

b) In one minute, Kailee will run 0.4 laps

c) In 24 minutes, she will run 9.6 laps

The slope, m of the linear function is calculated using the points on the graph (5.5, 2.2) and  (11, 4.4)

m = (y₀ - y₁) / (x₀ - x₁)

m = (2.2 - 4.4) / (5.5 - 11)

m = (-2.2) / (-5.5)

m = 2/5

The equation is y = mx where m = 2/5 = 0.4

in one minute, x = 1,

y = 2/5 * 1 = 2/5 laps

in 24 minutes, x = 24

y = 2/5 * 24 = 9.6 laps

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Answer:

The mean is affected by outliers that do not influence the mean. Therefore, when the distribution of data is skewed to the left, the mean is often less than the median.

Step-by-step explanation:

MAKE SURE TO REPHRASE

Answer:

38

Step-by-step explanation:

Just took the test

the total number of deer in the park can be expected to be less than two years old 360.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given, Park rangers tagged 80 deer in a park they found that 24 of the deer were less than two years old.

The number of deer that are less than two years old:

=> 1200 * 24/80

Since the ratio of the deer is 24/80

=> 1200*3/10

=> 360

Therefore, 360 is the total number of deer in the park can be expected to be less than two years old.

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The monthly payment that Trey will make is $976.

The monthly payment represents the equal periodic payment that must be made to settle the 10-year loan at an annual percentage rate (APR) of 6.75%.

The monthly payment can be determined using an online finance calculator that sets the following parameters.

N (# of periods) = 120 months (10 years x 12)

I/Y (Interest per year) = 6.75%

PV (Present Value) = $85,000

FV (Future Value) = $0

Results:

Monthly Payments (PMT) = $976.00

Sum of all periodic payments = $117,120.60

Total Interest = $32,120.60

Thus, Trey should pay $976 monthly to settle the loan and compounded interest.

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The fourth term of the arithmetic sequence will be -15.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

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.

The given data is a₁ = -2, and the formula is an = 2a₁(n-1) - 3.

The fourth term will be calculated as below,

an = 2a₁(n-1) - 3.

an = -4 x (3 - 1 ) - 3.

an = -12 - 3

an = -15

Hence, the fourth term will be -15.

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By taking the quotient between consecutive terms we can see that it is constant, thus, the sequence is geometric.

A geometric sequence is a sequence where, to get the next term, we need to multiply the previous term by a constant number.

The general recursive formula for a geometric sequence is:

Aₙ = c*Aₙ₋₁

Where c is a constant.

The given sequence is:

500, 100, 20

If we take the quotient between two consecutive terms, we will get:

100/500 = 1/5

20/100 = 1/5

We got the same denominator in both equations, then we can write:

100 = 500*(1/5)

20 = 100*(1/5)

So we have the previous term times a constant, which s 1/5, so this is a geometric sequence.

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The best statement is F(x) is a linear function because x and f(x) are both increasing.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

x  f(x)

-1    1

0    5

2    13

4    21

8    37

Now, the rate of change is

= (5-1)/ (0+1)

= 4

and, the rate of change is

= (13-5)/ (2-0)

= 8/2

= 4

and, rate of change

= (21- 13) / (4-2)

= 8/2

= 4

Hence, F(x) is a linear function.

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Answer:

The missing length is:

[tex]\sqrt{50}[/tex]

or

[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

To solve for a length in a right triangle, we have to use the Pythagorean Theorem which states:

[tex]a^{2} +b^{2} =c^{2}[/tex]

Where a and b are sides and c is the hypotenuse.

[tex]7^{2} +1^{2} =c^{2}[/tex]

[tex]49+1=c^{2}[/tex]

[tex]c^{2} =50[/tex]

[tex]c=\sqrt{50}[/tex]

[tex]c=5\sqrt{2}[/tex]

The value of cos(45°) is 1√2. The solution is obtained using properties of a right angled-triangle.

What is a right angled-triangle?

A right angled-triangle is a type of triangle whose one angle is 90° and the remaining two angles add up to 90°, thus, making the sum of the angles equal to 180°. The prolonged side of the triangle is known as hypotenuse.

The right triangle's three sides are connected to one another. The Pythagorean Theorem explains how these two things are related.

Base^2 + Perpendicular^2 = Hypotenuse^2

We are given length of one side equal to 6.

We know that sin 45°= Opposite side/Hypotenuse= 1/√2

Therefore, the hypotenuse will be 6√2.

Using Pythagoras theorem, we get

(6√2)^2= 6^2+ Perpendicular^2

72-36= Perpendicular^2

Perpendicular= 6  

We know that for cosine, it is adjacent side/hypotenuse.

Since, the adjacent side is 6 and the hypotenuse is 6√2,

Cos(45°)= 6/6√2 = 1√2

Hence, the value of cos(45°) is 1√2.

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If the medication comes as tablets containing 5 mg. The order is for 1.5 tablets. the number of mg to be given is: 3 mg.

Using this formula to find the number of mg to be given

Number of mg = Mg of tablets/ Number of tablet order

Where:

Mg of tablets = 5mg

Number of tablets order = 1.5 tablets

Where:

Number of mg = 5mg /1.5 tablets

Number of mg =3 mg

Therefore the number of mg to be given is 3 mg.

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The  8th term and the recursive formula is ar⁷= 32768

A geometric progression is said to be a type of sequence in which the subsequent terms are gotten by the multiplication of a term by the constant ratio.

The parameters that will help us to solve the terms are

The first term (a)= -2

The fifth term ar⁴ = -512

by substituting a in equation 2 we have

-2 * r⁴ = -512

Dividing by -2 to get

r⁴= 256

Making r the subject of the relation

r=4th root of 256

r=4

This implies that T₈ = -2 * 4⁷

T₈ = -2*16384

In conclusion, the T₈ = 32768

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