Factor
x^2 +2x−80
helppppppppppp

The slope of the line passing through the points (5, -2) and (7, 6) is 4.

The slope of a line is a measure of its steepness and is defined as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.

The slope formula expresses this relationship in algebraic terms.

In the given problem, we are asked to find the slope of the line passing through the points (5, -2) and (7, 6).

To use the slope formula, we need to identify the coordinates of the two points and plug them into the formula.

Using the coordinates of the given points, we can label them as follows:

(x1, y1) = (5, -2) and (x2, y2) = (7, 6).

Then, we can plug these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = (6 - (-2))/(7 - 5)

m = \(\frac{8}{2}\)

m = 4

Therefore,

The line passing through the slope points (5, -2) and (7, 6) is 4. We can interpret this as meaning that for every unit of change in the x-coordinate, the y-coordinate increases by 4 units.

If the slope were negative, we would know that the line is decreasing as we move from left to right, and if the slope were zero, we would know that the line is horizontal.

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Answer:

32

Step-by-step explanation:

5(5)+7

25+7

32

Answer:

The common factor of 32 and 72 are-

1,2,4, and 8

Answer:

3w² - wy

Step-by-step explanation:

w(3w - y) ← multiply each term in the parenthesis by w

= 3w² - wy

Hi!

I can help you with joy!

Let's remember what the Distributive Property states.

It states that

\(\mathrm{a(b+c)=ab+ac}\)

Now, let's use this property to solve the given problem:

\(\mathrm{w(3w-y)}\)

Distribute w:

\(\mathrm{3w^{2} -wy}\) (Answer)

I hope this helps!

Ask me if you have any questions.

Misty~

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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The slope-intercept form that represents the amount charged, C, for m number of miles is

y = 2.70m + 1.95

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

NC charges $1.95 fee and $2.70 per mile for each cab ride

This means,

The amount charges y after m number of miles.

y = 2.70m + 1.95

Now,

The table represents the cost of the cab ride given the number of miles

Miles          Cost of the cab ride

5               y = 2.70 x 5 + 1.95 = $15.45

10              y = 2.70 x 10 + 1.95 = $28.95

15              y = 2.70 x 15 + 1.95 = $42.45

20             y = 2.70 x 20 + 1.95 = $55.96

Thus,

The slope-intercept form that represents the amount charged, C, for m number of miles is

y = 2.70m + 1.95

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well, we can say that 1 hour is 100%, what is 2/5 hr off of it in percentage?

\(\begin{array}{ccll} hour&\%\\ \cline{1-2} 1 & 100\\ \frac{2}{5}& x \end{array} \implies \cfrac{1}{~~ \frac{2}{5}~~}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

9514 1404 393

Answer:

  area = x(3x +10)

Step-by-step explanation:

The lengths of the unmarked sides are found as the difference between the lengths of the parallel marked sides.

  horizontal unmarked = (2x+15) -x = x +15

  vertical unmarked = (2x -5) -(x -5) = x

The area of the figure is the sum of the areas of parts of the figure. The area can be divided several ways. One is shown in the attachment, along with the areas of the parts and of the whole.

The whole area is ...

  x(2x -5) +x(x +15) = x((2x -5) +(x +15)) = x(2x -5 +x +15) = x(3x +10)

Answer:

bro just do it by ypur self

Answer:

x - .2x + .05(x - .2x)

Step-by-step explanation:

Let x = the original cost

x - .2x + .05(x - .2x)

We are taking the original cost and subtracting out the discount.

The tax is paid on the discounted cost.

You change percents to decimals by dividing by 100.

First, flip the equation around.

3/5=4m

4m=3/5

Now simplify by dividing 4 from both sides.

4m=3/5

/4    /4

m=0.15 or 3/20

---

hope it helps

The value of m will be equal to 3 / 20.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

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.

Given that the expression is 3 / 5 = 4m. The value of m will be calculated as:-

First, flip the equation around.

3/5=4m

4m=3/5

Now simplify by dividing 4 from both sides.

4m = 3/5

m = 0.15

m = 3/20

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Answer:

D It repeats

Step-by-step explanation:

square root of 15 is 3.87298334621

11/25= 0.44

3/20=.6

D = 0.33333333333

Answer:

6 days

Step-by-step explanation:

Relation :

6 tractors took 10 days. Now, we have 10 tractors. This means the number of tractors has increased by 10/6 = 5/3. Therefore, the number of days will become 3/5 of the original time.

Solving :

The scale factor of the bigger triangle to the smaller one is 2/3.

The scale factor, or linear scale factor, is the ratio of two corresponding side lengths of similar figures. Similar figures have the same shape but are of different sizes.

Given: In ΔPQR,

         PR= 8, PQ= 10 , RQ=6

and In ΔSTU,

          SU=12, ST=15, UT=9

Scale factor= side of ΔPQR/ side of ΔSTU

                   = PR/ SU

                   = 8/12

                   = 2/3

Similarly, PQ/ST= 10/15= 2/3

and, RQ/ST = 6/9= 2/3

Hence, the scale factor will be 2/3.

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Solution

Given that

Area f small square = 40 inches squared.

Let the side of the large square be L

Since the large square has sides that are 8 times longer than the small square

=> L = 8l

Hence, the area of Large square is;

Hence, the area of the large square is: 256 inches squared.

A unit fraction is a fraction with the numerator equals 1.

So, in order to have the fraction 4/5, we can multiply the number in the numerator by a unit fraction with the same denominator:

So the first blank space is filled with 4 and the second one with 1/5.

If a hypothesis test is conducted to see if there is evidence that the average wait time is 5 minutes, the p-value is 0.040.

To calculate the p-value for the hypothesis test, we need to perform the following steps:

Step 1: State the null and alternative hypotheses.

In this case, the null hypothesis (H0) is that the average wait time for customers during the lunch hour is 5 minutes. The alternative hypothesis (Ha) is that the average wait time is not 5 minutes.

Step 2: Determine the test statistic.

We can use a t-test since we do not know the population standard deviation. We calculate the t-value using the formula:

t = (x' - μ) / (s / √n)

where x' is the sample mean, μ is the population mean (5 minutes), s is the sample standard deviation, and n is the sample size (15).

Step 3: Calculate the p-value.

We can use a t-distribution table or software to find the p-value associated with our calculated t-value. Alternatively, we can use the t-test function in Excel or other statistical software to calculate the p-value directly.

Assuming a two-tailed test and a significance level of 0.05, if the p-value is less than 0.05, we reject the null hypothesis in favor of the alternative hypothesis. If the p-value is greater than 0.05, we fail to reject the null hypothesis.

Suppose the sample mean is 6.2 minutes, the sample standard deviation is 1.3 minutes, and the sample size is 15. Then the t-value is:

t = (6.2 - 5) / (1.3 / √15) = 2.22

Using a t-distribution table or software with 14 degrees of freedom (15 - 1), we find the p-value to be approximately 0.040, which is less than 0.05. Therefore, we reject the null hypothesis and conclude that there is evidence to suggest that the average wait time for customers during the lunch hour is not 5 minutes.

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Answer:

\((-6 / 5)\) between the two points, given that this function is continuous.

Step-by-step explanation:

Assume that the function in this question is continuous over the interval between the two given points. Divide the change in the value of this function by the width of the interval to find the average rate of change of this function over that interval.

For example, consider a continuous function that goes through \((x_{\text{a}},\, y_{\text{a}})\) and \((x_{\text{b}},\, y_{\text{b}})\). The width of the interval between these two points is \((x_{\text{b}} - x_{\text{a}})\). Over this interval, the value of this function has changed from \(y_{\text{a}}\) to \(y_{\text{b}}\), such that the change in the value of the function is \((y_{\text{b}} - y_{\text{a}})\).

The average rate of change of this function between these two points would be \((y_{\text{b}} - y_{\text{a}}) / (x_{\text{b}} - x_{\text{a}})\).

The function in this question goes through the two points \((2,\, -1)\) and \((-8,\, 11)\). Substitute in these values to find the average rate of change of this function between these two points:

\(\begin{aligned} (\text{avg. rate of change}) &= \frac{y_{\text{b}} - y_{\text{a}}}{x_{\text{b}} - x_{\text{a}}} \\ &= \frac{11 - (-1)}{(-8) - 2} \\ &= \frac{12}{-10} \\ &= -\frac{6}{5}\end{aligned}\).

Answer:

either c or d

Step-by-step explanation:

The absolute value expression must be isolated on one side of the inequality before solving. either and or...OR  

Answer:

I'm going to say B, but I may be wrong. Good Luck

Step-by-step explanation:

The average angular velocity during the dive is option b, 3 π/ √2=rad/s.

The height of the platform, h = 10 m

The number of revolutions made by the diver = 2.5 revolutions = 5π radThe initial velocity of the diver = 0

The final velocity of the diver:

We know,

The formula for final velocity in terms of initial velocity, acceleration, and distance is given as;

v² = u² + 2

Here, Initial velocity, u = 0

Final velocity, v =

Acceleration due to gravity, a = 9.8 m/s²

Distance, s = h = 10 m

Therefore, v² = 0 + 2 × 9.8 × 10v²

   = 196v = √196v = 14.00 m/s

We know, the formula for average angular velocity is given as;

ω = θ/t

Here, angular displacement, θ = 5π rad

Time taken, t

We know, the formula for time taken is given as;

t = √2h/g

Here, height of the platform, h = 10 m

Acceleration due to gravity, g = 9.8 m/s²

Therefore,t = √2 × 10/9.8t = 1.427 s

Substituting the values of θ and t in the formula for average angular velocity, we get;

ω = θ/tω = 5π/1.427ω = 3.5 π/ √2rad/s

Therefore, the average angular velocity during the dive is option b, 3 π/ √2=rad/s.

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The Answer will be C) 2,826 square feet

The reflection across the x-axis will have the coordinates (x, -y).

         The x-axis and y-axis are found in graphs, and both have positive and negative ends. The horizontal axis is called the x-axis, and the vertical axis is called the y-axis.

         The x-axis has positive integers on its right and negative integers on its left. The y-axis has positive integers above the zero coordinate and negative integers below the zero coordinate.

         If we take a point on the upper side of the x-axis, its coordinates will be (x, y). While drawing its reflection on the x-axis, we need to draw the point on the vertically opposite plain. Thus, the coordinates of the reflection will be (x, -y).

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The division of given rational expression 3x²-9 x / x-2 ÷ x² - 9 / 4 x-8 is 12x / x + 3 provided x ≠ -3

In this question,

we have been given a complex rational expression \(\frac{3x^{2} -9x}{x-2}\div \frac{x^2-9}{4x-8}\)

We need to find the division of given rational expression.

We rewrite given rational expression as,

3x²-9 x / x-2 ÷ x² - 9 / 4 x-8

= 3x²-9 x / x-2 / x² - 9 / 4 x-8

= (3x²-9 x / x-2) × (4 x-8 / x² - 9 )

= \(\frac{3x(x-3)}{x-2}\times \frac{4(x-2)} {(x+3)(x-3)}\)

= 12x / x + 3     .........(provided x ≠ -3)

Therefore, the division of given rational expression 3x²-9 x / x-2 ÷ x² - 9 / 4 x-8 is 12x / x + 3 provided x ≠ -3

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Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.

In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.

Answer:

once

Step-by-step explanation:

Answer:1.75

ep-by-step explanation:7 divided by 4=1.75

Answer:

1.  3³

2.  (-5)⁴

3.  3¹⁰

4.  4⁰

Step-by-step explanation:

When multiplying exponents with the same base, you add the exponents.  When dividing exponents with the same base, you subtract the exponents.  When raising a number with an exponent to another power, multiply the exponents.

1.  \(\frac{3^4*3^6}{3^2*3^5} =\frac{3^{10}}{3^7}=3^3\)

2.  \(\frac{(-5)^{12}}{(-5)^3*(-5)^5} =\frac{(-5)^{12}}{(-5)^8}=(-5)^4\)

3.  \((3^2)^5=3^{10}\)

4.  \(\frac{4^0*4^4}{4^1 * 4^3} =\frac{4^4}{4^4}=4^0\)

Answer: 11 14/15

Step-by-step explanation:

The manufacturer's cost of producing x units per month can be expressed as y=2x+3000.

Let's solve the given problem.

The manufacturer's cost of producing each unit of goods is $2 and fixed costs are $3000 per month.

The total cost of producing x units per month can be expressed as y=mx+b, where m is the variable cost per unit, b is the fixed cost and x is the number of units produced.

To find the equation for the cost of producing x units per month, we need to substitute m=2 and b=3000 in y=mx+b.

We get the equation as y=2x+3000.

The manufacturer's cost of producing x units per month can be expressed as y=2x+3000.

We are given that the fixed costs of the manufacturer are $3000 per month and the cost of producing each unit of goods is $2.

Therefore, the total cost of producing x units can be calculated as follows:

Total Cost (y) = Fixed Costs (b) + Variable Cost (mx) ⇒ y = 3000 + 2x

The equation for the cost of producing x units per month can be expressed as y = 2x + 3000.

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Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

The cost of 10 lb of rice and 50 lb of potatoes would be $99.73 using a system of linear equations.

To solve the problem, we can use a system of linear equations. Let x be the cost of 1 lb of rice and y be the cost of 1 lb of potatoes. Then we have:

20x + 30y = 21.80

30x + 12y = 17.52

To solve for x and y, we can use elimination or substitution. Here, we will use elimination. Multiplying the second equation by -2, we get:

-60x - 24y = -35.04

Adding this to the first equation, we eliminate x and get:

6y = 13.76

Dividing by 6, we get:

y = 2.2933...

Substituting this into either equation, we can solve for x:

20x + 30(2.2933...) = 21.80

20x + 68.799... = 21.80

20x = -46.999...

x = -2.3499...

Therefore, the cost of 10 lb of rice and 50 lb of potatoes would be:

10(-2.3499...) + 50(2.2933...) = $99.73 (rounded to two decimal places)

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