sarah had 28 stickers and put x number of stickers on her binded. haylee had 40 stickers and put three times as many stickers on her locker as sarah put on her binder. how many stickers did sarah put on her binder if they had the same number of stickers left?​

The function that represent the parent function y=x^2 after it has been translated 3 up and 2 right  is g(x) = (x - 2)^2 + 3

First, let's define the two transformations:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Then we start with the function f(x) = x^2

A shift of 3 units up is written as:

g(x) = f(x) + 3

And a shift of 2 units to the right is written as:

g(x) = f(x - 2) + 3

Replacing by the original function we get:

g(x) = (x - 2)^2 + 3

The complete question is

Write a function that represent the parent function y=x^2 after it has been translated 3 up and 2 right

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Given that

The equation is -x²(x − 3)(x + 2)(x - 1) = 0 and we have to find the correct option for its domain and range.

Explanation -

For the domain,

All the real numbers are the domain for the polynomial.

For the range,

First, we will find the minimum value of the function and then the maximum.

But here the degree of the polynomial is odd.

Degree = Highest power of x = 5

And for the polynomial having an odd degree the range is all the real numbers.

So the range will also be real numbers.

The half of the number is 4.5 .

Given in question as  14 is subtracted from 6 times a number.

Let us suppose a number is x.

First find 6 times of a number = 6*x.

6 times can be defined as x + x + x + x + x + x = 6*x.

We have to subtract from 6 times a number.

14 is subtracted from 6 times a number means 6x - 14.

After subtracting 14 is left.

So 6x - 14 = 40.

Add 14 both side of equal sign.

6x-14+14 = 40+14.

6x = 54.

x = 54/6.

x = 9.

Half of the number x is 9/2 = 4.5.

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Answer:

12 i think. I used a calculator ngl. but I think it's 12$

Answer:

128 degrees

Step-by-step explanation:

Answer:  112 degrees

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

Explanation:

If we assume ABCD is a parallelogram, then the adjacent angles are supplementary.

So,

A+D = 180

A+68 = 180

A = 180-68

A = 112

The two column proof is written as follows

Statement                                                           Reason

line LQ || Line NP                                   given

< Q is congruent to < N                         Alternate interior angles

< L is congruent to < P                           Alternate interior angles

< LMQ is congruent to < PMN               Vertical angle theorem

Δ LMQ similar Δ PMN                            Definition of similar triangles

Similar triangles are triangles that have the same shape but may differ in size. In other words, they have the same angles but their sides may be of different lengths.

If two triangles are similar, it means that their corresponding angles are equal, and their corresponding sides are in proportion to each other.

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The given expression is simplified as x² + 3x - 4.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

((4x²+ 12x - 16) / (2x + 10)) / ((6x + 24) / (x ²+ 9x + 20))

It can be simplified as,

((4x²+ 12x - 16) (x ²+ 9x + 20)) / (2x + 10) (6x + 24)

Now, (4x²+ 12x - 16)  and  (x ²+ 9x + 20) can be factorised as,

4x²+ 12x - 16 = 4x²+ 16x - 4x - 16

                    = 4x(x + 4) - 4(x + 4)

                    = (4x - 4) (x + 4)

And, x ²+ 9x + 20 = x ²+ 5x + 4x + 20

                            = x(x + 5) +4(x + 5)

                            = (x + 4) (x + 5)

Substitute the factors to get the expression as,

(4x - 4) (x + 4) (x + 4) (x + 5) /  (2x + 10) (6x + 24)

= (4x - 4) (x + 4) (x + 4) (x + 5) /  2 × 2(x + 5) (x + 4)

=  (4x - 4) (x + 4) / 4

= 4(x - 1) (x + 4) / 4

= (x - 1) (x + 4)

= x² + 3x - 4

Hence, the given expression can be simplified as  x² + 3x - 4.

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To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:

Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
  Loan Amount = $300,000 - $75,000 = $225,000    

Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.

Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.

Use the PMT function in Excel to calculate the monthly principal + interest payment.
  Monthly Payment = -PMT(0.00229, 360, 225000)

The negative sign is used because the payment is an outgoing cash flow.

By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.

To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.

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On a graph, the absolute value of a number is always non-negative.

The absolute value of a number is defined as the distance of that number from zero on the number line. Since the distance can never be negative, the absolute value of a number is always non-negative.

This is reflected in the graph of an absolute value function. The graph of an absolute value function, |x| is a V-shape that opens upward, with the vertex of the V being the point where the absolute value function equals zero. The two arms of the V extend out from this point, going in opposite directions along the number line. The coordinates of the vertex (0,0) and the graph is always non-negative.

It's important to note that although the absolute value is always non-negative on a graph, the input value (x) can be both positive and negative. The output of the absolute value function (|x|) will always be positive.

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The sizes of angles x and y in the trapezium are:

x = 135°

y = 29°

A trapezium is a quadrilateral having two parallel sides and two non-parallel sides.

Since the sum of angle pairs between parallel line of the trapezium is 180°. Thus, we can say:

x + 45° = 180°

x = 180 - 45

x = 135°

Also:

y + 152° = 180°

y = 180 - 152

y = 29°

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Complete Question

Check attached image

In a case whereby sheri’s cab fare was $32, with a 20% gratuity and no taxes. sheri's write a check to the cab driver for $40, this can be considered as being reasonable amount because it is  $1.60 more to the cab driver.

A gratuity is a sum of money that customers typically give to specific service sector employees, including those in the hotel industry, in addition to the service's base charge for the work they have completed.

Given ; Sheri’s cab fare was $32 and the percentage of gratuity is 20%

amount of gratuity = 20% 0f 32 = 6.40

The fare of the cab  + gratuity = 32 + 6.40 = 38.40

Check to the cab driver for $40 ,  implies ($40 - $38.40)= $1.60 more to the cab driver.

Hence, it is reasonable.

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The length of the arc with a central angle of 30 degrees and radius 4 inches is 2.09 units

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

central angle = 30 degrees

Radius = 4 units

Using the above as a guide, we have the following:

Length of arc = central angle/360 * 2 * 3.14 * Radius

Substitute the known values in the above equation, so, we have the following representation

Length of arc = 30/360 * 2 * 3.14 * 4

Evaluate

Length of arc = 2.09

Hence, the length of the arc is 2.09 units

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Answer:

Below

Step-by-step explanation:

1 + 19/10 + 8/100   = 1   +  1.9    + .08   =  2.98

Answer:

A

Step-by-step explanation:

This is because the answer you picked means congruent to, however these two triangles are not the same size

P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

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The hypotenuse is 5 of a right triangle with legs of length3 and4

The Pythagoras theorem goes as follows:

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

a²+b²=c²

'A' and 'B' are the other two legs, and '=' is the hypotenuse of the right triangle. As a result, the Pythagoras equation can be used for any triangle that has one angle that is exactly 90 degrees to create a Pythagoras triangle.

Here: a=3,b=4

32+42=c²

9+16=c²

25=c²

=√25=5

So, the hypotenuse is 5

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3y + 2x = 44 is the equation of the line through (10, 8) and (4, 12).

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

Given, two coordinates of a line \(\left(10,8\right) and \left(4,12\right)\)

The slope of the line formula is:

\(m = \frac{y₂ - y₁}{ x₂ - x₁}\)

Let's substitute our numbers.

\(m = -\frac{8 -12}{4-10}\)  =  -4/6

The GCF of these two numbers is 2

So, our slope  =  -2/3

The general equation of a line is y = mx +c

Therefore the equation of the line is y = -2/3x + c

Since, this line passes through ( 10, 8 )

Hence, it must satisfy these coordinates

8 = -2/3 * 10 + c

44/3 = c

Thus the equation of the line is y = -2/3x +44/3

the equation of the line is 3y + 2x = 44.

Therefore, The equation of the line that passes through (10, 8) and (4, 12) is 3y + 2x = 44.

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Answer:

Step-by-step explanation:

35: 1, 5, 7, 35

125: 1, 5, 25, 125

GCF: 5

The values of the missing angles and sides after dilation are:

m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'

m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC  (dilation)

m∠C'B'D = 180° - 34° - 51° = 95°

Thus, by way of scale factor we can say that:

BC/B'C' = BD/B'D' = 36/18 = 2

B'D' = ¹/₂BD = ¹/₂ * 22 = 11

ΔC'P'Q ∼ ΔCPQ

Thus:

C'Q'/CQ = C'D'/CD = D'Q'/DQ

CQ = 2C'Q' = 2 * 3 = 6

Therefore, m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

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Answer: The answer is 81m + 27t

Step-by-step explanation:

Answer: (3t)^t+3 and 3^t^2 x 27^t are both equivalent to the expression while 9^t x 27^t is not equivalent.

Step-by-step explanation:

Answer:

681.82 rounded to two decimals

Step-by-step explanation:

hello

let's say that the price before the decrease is x

and then

600 = x - 12%x=(1-12%)x=0.88x

so x = 600/0.88 = 681.818181...

hope this helps

Answer:

I think it’s 672

Step-by-step explanation:

12% of 600 is 72

To find what the price is before decrease you must add 72 on

Answer:

3, 7

Step-by-step explanation:

-5 - (-9) = 4

The common difference is 4.

Add 4 to a term to find the next term.

-1 + 4 = 3

3 + 4 = 7

Answer: 3, 7

Answer:

B.

I hope it will be useful.

Answer:

option A is correct

let p =x

x2 = 64

p2=8*8=64

Step-by-step explanation:

hope my answer is helpful to you

1. The interval that contain the exact percentage of all Florida teenagers is from 73.4% to 84.6%.

2. The range of the number of teenagers in Florida who think helping others is important is between 1,541,400 and 1,779,600 teenagers.

Margin of error (ME) = 2.9%

Sample size (n) = 800

Sample proportion (p) = 79% = 0.79

To get interval that contain exact percentage of all Florida teenagers who think that helping others who are in need will be very important to them as adults. We can use: CI = p ± z* (ME)

Assuming a 95% confidence level, z* = 1.96.

CI = 0.79 ± 1.96*(0.029)

CI = 0.79 ± 0.05684

CI = 0.79 + 0.05684 or 0.79 - 0.05684

CI = 0.84684 or or 0.7334

CI = (0.734, 0.846).

To get range of the number of teenagers in Florida, we will multiply the interval by the population size:

Lower bound:

= 0.734 * 2,100,000

= 1,541,400

Upper bound:

= 0.846 * 2,100,000

= 1,776,600.

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Answer:

4(1/2) = 2

2-8 = -6

-6 is your answer

hope this helps!

For finding g(1/2) you need to substitute the value of x= 1/2

Thus , g(1/2):

\( = 4 \times \dfrac{1}{2} - 8\)

\( = 2 - 8\)

= \(\red{\bold{\large{-6}}}\)

Answer:

x² + 4x + 3

Step-by-step explanation:

(x + 1)(x + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 3) + 1 (x + 3) ← distribute parenthesis

= x² + 3x + x + 3 ← collect like terms

= x² + 4x + 3

Answer:

it's the answer ...

hope your day will be happy

and the last add 3x+x = 4x

Answer:

Area is 64cm^2
Diagonal is 11.3cm

Step-by-step explanation:

To find the area of a square, you need to multiply the length of one side by itself. In this case, the side length is 8 cm, so the area of the square is 8 x 8 = 64 square centimeters.

To find the diagonal of a square, you need to use the Pythagorean theorem. This states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, the diagonal of the square will be the hypotenuse of a right triangle with two sides that are each 8 cm long. So, to find the diagonal, we need to find the square root of 8 squared plus 8 squared, which is equal to the square root of 64 + 64, or the square root of 128. This means the diagonal of the square is approximately 11.3 cm.

Answer: 59

Step-by-step explanation:

1x59

Answer:

1: 5.5

2: -1.5

Step-by-step explanation:

We can tell each little line is equal to one since there are five lines going to 5.

Hope this helps :)

The y-coordinate of the solution of the system is -10.

What is the linear equation?

A linear equation is an equation that describes a straight line in a two-dimensional space. It is a mathematical expression that relates two variables, usually x and y, such that one variable is a function of the other. The general form of a linear equation is:

y = mx + b

To find the y-coordinate of the solution of the system:

3x - y = 22 ...(1)

y = x - 14 ...(2)

We can substitute the expression for y from equation (2) into equation (1) to eliminate y:

3x - (x - 14) = 22

Simplifying this equation:

3x - x + 14 = 22

2x + 14 = 22

Subtracting 14 from both sides:

2x = 8

Dividing both sides by 2:

x = 4

Now we can substitute x = 4 into equation (2) to find the corresponding value of y:

y = x - 14

y = 4 - 14

y = -10

Therefore, the y-coordinate of the solution of the system is -10.

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