Solve the system by graphing.

3x-y=-1

y=-x+5

The solution is

The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.

For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

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Hello!

Let the number be x.

We multiply it by 5:

5x

Subtract 3:

5x-3

Hope it helps. Ask me if you have any query.

~An excited gal

\(MagicalNature\) here to  help

The linear equation that shows the relationship between y and x is y = x - 5

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

The slope intercept form of an equation is:

y = mx + b

where m is the rate of change and b is the y intercept.

From the values given, using (1, -4) and (2, -3):

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-(-4)=\frac{-3-(-4)}{2-1} (x-1)\\\\y=x - 1-4\\\\y=x-5\)

The linear equation is y = x - 5

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Answer:

  $563.24

Step-by-step explanation:

The monthly payment on a mortgage loan is found using the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment on a loan of P at interest rate r for t years.

Filling in the given values, we find the payment to be ...

  A = $70,000×(0.09/12)/(1 -(1 +0.09/12)^(-12·30)) ≈ $563.236

The monthly payment is about $563.24.

_____

Additional comment

Many graphing calculators and all spreadsheets have functions that will do this calculation for you.

Answer:

The answer is D. x + 3

Step-by-step explanation:

The factors of 5x2 + 14x - 3 are:

(5x-1) and (x+3)

Answer:

The expression you use to find the amount of miles would be 5xT=X miles.

or 5t

Answer:

5:1

Step-by-step explanation:

Since there are 4 counselors, the other 20 people are campers. You divide 20 by 4 (to determine how many campers equal 1 counselor) and you get 5. So 5:1

Answer:

5.45

Step-by-step explanation:

The required solution of the problem is 8.45 $.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

$49.50 for 5 1/2 hours

We have to find the solution.

According to given question we have

5 1/2 hours  =$49.50

11/2 hours=$49.50

1 hour=$49.50 *2/11

1 hour=8.45 $

Therefore, the required solution of the problem is 8.45 $.

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Answer:

Answer:

64in

Step-by-step explanation:

v=L×W×H

= 4×4×4

= 16 ×4

= 64in²

Answer: False

Step-by-step explanation:

Hope this helps

Sure!

The hundredths place is the second in a decimal.

with rounding, if the number is greater than or equal to 5, you round up, if not, you round down.

In this case we round up because 9 is bigger than 5.

So, it becomes 6.79

Therefore your answer is B

When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).

Answer:

8 then 2 and reflection on y axes

The probability of drawing a yellow, blue, and green paperclip is 0.225, 0.2625, and 0.2375, respectively.

It is the likelihood or chance of an event occurring, usually expressed as a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.

Equation:

Given that the proportion of yellow paper in the collection is known, it can be estimated that out of a total of 800 draws, the yellow paper will be drawn around 180 times.

The probability of getting yellow is 36/160 or 0.225.

To see the need for yellow stickers in 800 draws, we multiply the result by the number of draws: 0.225 x 800 = 180.

If a paper clip is drawn 80 times in total, we need to draw the blue paper. It will be drawn 21 times.

The probability of drawing a blue card is 42/160 or 0.2625.

To see the expected amount of blue cards in 80 draws, we multiply the result by the number of draws:

0.2625 x 80 = 21.

If a paperclip is drawn 4950 times in total, a green card must be drawn. about 1235 times. The probability of

Getting a green card is 38/160 or 0.2375.

To find the desired number of green cards in the 4950 check, we multiply the result by the check number:

0.2375 x 4950 = 1175.5.

is equal to the nearest number 1235.

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The second derivative of y with respect to x, d²y/dx², is 0 for the curve defined by the parametric equations x(t) = \(e^{3t}\) and y(t) = \(e^{4t}\) × et.

To find d²y/dx², we need to differentiate the parametric equations x(t) and y(t) with respect to t and apply the chain rule.

Given x(t) = \(e^{3t}\) and y(t) = \(e^{4t}\) × et, we can express y as a function of x by eliminating t. Solving x = \(e^{3t}\) for t, we get t = ln(x)/3. Substituting this into the equation for y, we have y(x) = \(e^{(4ln(x)/3) }\) × \(e^{(ln(x)/3) }\) = \(x^{4/3}\) × \(x^{1/3}\) = x.

Now, differentiating y(x) with respect to x, we have dy/dx = 1.

To find the second derivative, we differentiate dy/dx = 1 with respect to x, yielding d²y/dx² = 0.

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(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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Answer:

Explanation:

Given the equation:

we want to make c the subject of formula;

let us divide both sides by h;

Then let us subtract b from both sides;

Therefore, making c the subject of formula we have;

The Measure of angle A is 120°, Measure of angle C = 120° and the Measure of angle D is 60°

In a parallelogram, opposite angles are congruent. Therefore, if the measure of angle A is 120°, then the measure of angle C is also 120°.

Since angle A and angle C are opposite angles, their adjacent angles are also congruent. This means that the measure of angle B is equal to the measure of angle Z.

Now, let's consider angle D. In a parallelogram, the sum of the measures of adjacent angles is always 180°. Since angle C is 120°, the adjacent angle D must be:

180° - 120°

= 60°.

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Answer:

y = 4x^2 + 32x + 28

Step-by-step explanation:

Before we can find the standard form of the quadratic function with the given coordinates, we must first start with the intercept form, whose general equation is

y = a(x - p)(x - q), where

Step 1:  We can plug in (-6, -20) for x and y, -7 for p and -1 for q into the intercept form.  This will allows us to solve for a:

-20 = a(-6 - (-7))(-6 - (-1))

-20 = a(-6 + 7)(-6 + 1)

-20 = a(1)(-5)

-20 = -5a

4 = a

Thus, the full equation in vertex form is

y = 4(x + 7)(x + 1).

Step 1:  The general equation for standard form is

y = ax^2 + bx + c.

We can convert from vertex to standard form by simply expanding the expression.  Let's ignore the 4 for a moment simply focus on (x + 7)(x + 1).

We can expand using the FOIL method, where you multiply

We see that the first terms are x and x, the outer terms are x and 1, the inner terms are 7 and x and the last terms are 7 * 1.  Now, we multiply and simplify:

(x * x) + (x * 1) + (7 * x) + (7 * 1)

x^2 + x + 7x + 7

x^2 + 8x + 7

Step 3:  Now, we can distribute the four to each term with multiplication:

4(x^2 + 8x + 7)

4x^2 + 32x + 28

Optional Step 4:  We can check that our quadratic function in standard form, by plugging in -7, -1, and -6 for x and seeing that we get 0 as the y value for both x = -7 and x = -1 and -20 as the y value for x = -6:

Checking that (-7, 0) lies on the parabola of 4x^2 + 32x + 28:

0 = 4(-7)^2 + 32(-7) + 28

0 = 4(49) - 224 + 28

0 = 196 - 196

0 = 0

Checking that (-1, 0) lies on the parabola of 4x^2 + 32x + 28:

0 = 4(-1)^2 + 32(-1) + 28

0 = 4(1) - 32 + 28

0 = 4 - 4

0 = 0

Checking that (-6, -20) lies on the parabola of 4x^2 + 32x + 28:

-20 = 4(-6)^2 + 32(-6) + 28

-20 = 4(36) -192 + 28

-20 = 144 -164

-20 = -20

I attached a graph from Desmos to show how the function y = 4x^2 + 32x + 28 contains the points (-7, 0), (-1, 0), (-6, 20), further proving that we've correctly found the quadratic function in standard form passing through these three points

Answer:

1) pencils

2)60

Step-by-step explanation:

So pencils are 70 which is the first sentence.

4*15 is 4x15 or 4x3x5 which is 60

Hope this helpz plz hit the crown :D

Answer:

3.125

Step-by-step explanation:

You take 5 and divide it by 1.6 to get you answer. I hope this helps

The base graph has been shifted down 2 units.

g(x) = f(x) -2 and that -2 is outside the f(x) notation, so it's an up/down transformation.  -2 says "move it down 2 units."

A transformation of the function f(x) = |x| by observing the equation of the function g(x) = |x|- 2 is option B; The base graph has been shifted down 2 units.

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k:

\(y = k \times f(x)\)

Horizontal stretch by a factor k:

\(y = f\left(\dfrac{x}{k}\right)\)

We have g(x) = f(x) -2 and that -2 is outside the f(x) notation,

Thus, it's an up/down transformation -2 says "move it down 2 units."

Therefore, The base graph has been shifted down 2 units.

Hence, A transformation of the function f(x) = |x| by observing the equation of the function g(x) = |x|- 2 is option B.

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Solutiion

We are given

The stem and leaf plot will be

Key: Stem- Mutiplie by 10

Leaf - Multiplied by 1

Answer: \(\huge\boxed{5 \text{ prices}}\)

Step-by-step explanation:

Because the mean is simply the mathematical average of all the points, simply add all the prices and divide by the amount of prices, or 10.

100 + 150 + 80 + 240 + 130 + 170 + 210 + 165 + 275 + 90 = 1610, then divide by 10 to get 1610 / 10 = 161.

Because there is a absolute deviation of 50 from the mean, simply subtract and add fifty to learn that the least they will pay is $111, and the most they will pay is $211, and 5 prices fall within this range.

The two pairs of parallel lines form a quadrilateral whose internal angles are right angles so the value of x is 90°.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

Given, line a || line b and line c || d.

These four lines form a quadrilateral whose internal angles are all right angles.

Hence the value of x is 90°.

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Answer: 25%

Step-by-step explanation:

Answer:

25% As a decimal its 0.25

Step-by-step explanation:

Answer:

x=6.1

y=12.6

Step-by-step explanation:

x/14 = sin26°

x = 14sin26° = 6.1 (nearest tenth)

y = √(14^2 - x^2) = 12.6 (nearest tenth)

Each installment will be approximately $15,280.55.

To calculate the equal six-monthly installment, we can use the formula for the present value of an annuity.

Principal amount (P) = $500,000

Interest rate (r) = 12% per annum = 12/100 = 0.12 (compounded monthly)

Number of periods (n) = 20 (since there are 20 equal six-monthly installments)

The formula for the present value of an annuity is:

\(P = A * (1 - (1 + r)^(-n)) / r\)

Where:

P = Principal amount

A = Equal installment amount

r = Interest rate per period

n = Number of periods

Substituting the given values into the formula, we have:

$500,000 = \(A * (1 - (1 + 0.12/12)^(-20)) / (0.12/12)\)

Simplifying the equation:

$500,000 = A * (1 - (1.01)^(-20)) / (0.01)

$500,000 = A * (1 - 0.6726) / 0.01

$500,000 = A * 0.3274 / 0.01

$500,000 = A * 32.74

Dividing both sides by 32.74:

A = $500,000 / 32.74

A ≈ $15,280.55

Therefore, each installment will be approximately $15,280.55.

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Answer

The Answer is C) 2, -6

Step-by-step explanation:

Look at the graph as you can see there is only one solution to that graph and on the line intersected there is one point which that would be 2, -6.

Note: Understand that when asking about the point or something else look for the lines intersected each other then you could find your answer. If there is only one line then it is infinite solutions but if the lines don't intersect then it is a no solution.

Have a good day :)