Write an equation of the line that passes through the given points. (-4,7) and (1,2)

Answer:

x² + 2x - 15

Step-by-step explanation:

Given

(x - 3)(x + 5)

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

x(x + 5) - 3(x + 5) ← distribute both parenthesis

= x² + 5x - 3x - 15 ← collect like terms

= x² + 2x - 15

Answer:

-7x squared -56x+63.

Step-by-step explanation:

Hope this helps!

Answer:

It will travel 9 miles in 10 minutes

Step-by-step explanation:

A car travels 9/10 miles/minute

In 10 minutes, it will travel

10*9/10 = 9 miles

Final answer:

A car traveling at 9/10 of a mile per minute will travel 9 miles in 10 minutes by simply multiplying the car's speed by the time traveled.

Explanation:

To calculate how far a car traveling at a speed of 9/10 of a mile per minute will travel in 10 minutes, we simply multiply the speed of the car by the amount of time it travels.

Speed of car = 9/10 mile/minute

Time = 10 minutes

Distance traveled = Speed of car × Time

Distance traveled = (9/10) mile/minute × 10 minutes

Now we perform the multiplication:

Distance traveled = 9/10 × 10

Distance traveled = 9 miles

Answer:

you have a 50-50% of landing heads and a 5 out 6 % chance of rolling a 5

Step-by-step explanation:

Answer: 1/12

Step-by-step explanation:

Answer:

X<-8

Step-by-step explanation:

-1/2x>4

Multiple both sides by -2

-2(-1/2)x<-2(4)

Multiple even numbers of negative terms

2(1/2)x<-2(4)

Cancel out the 2

(2 this is out)(1/(2 this is out))x<-2(4)

x<-2×4

Multiple

x<-8

Answer:

Q

Step-by-step explanation:

because 42 square rooted is between 6 and 7.

Answer:

t = 1.277 sec and t = 2.848 sec

Step-by-step explanation:

This problem is much more easily done by graphing it than by computing it using algebra.

The values of t we're looking for are the ones that make x = 0, so we want the solutions of [tex]0.6sin(2t)+0.4cos(2t)=0[/tex] on the interval [0, 3].

According to the graph, this is true when t = 1.277 seconds and t = 2.848 seconds.

Answer:

t = 1.28, 2.85

Step-by-step explanation:

x = 0.6sin(2t)+0.4cos(2t)

x = 0, so

0.6sin(2t)+0.4cos(2t) = 0

0.6sin(2t) = -0.4cos(2t)

Convert into tan(2t) by dividing both sides by 0.6cos(2t):

tan(2t) = -0.4/0.6

tan(2t) =-2/3

Since t lies in [0,3] ,

2t lies in [0,6]

tan(2t) =-2/3

Basic angle:

0.5880026035

Tan is negative is second and fourth quadrants

2t = 2.553590005, 5.695182704

t = 1.276795025, 2.847591352

Answer:

Step-by-step explanation:k so high school total should be 100%

                                            middle school not taken SAT should be 63%

                                            high school have taken SAT should be 96%

basically just use your basic math. Turn the problem around and take the total(100%) and subtract what number you already know. So like This:

                                                                                                100-37=63

                                                                                                100-4=96

The subject of this question is SAT and it is related to middle school and high school. The answer provides an explanation of the survey results regarding students taking the SAT.

The subject of this question is SAT. The grade level of this question is Middle School, High School.

The table provided shows the survey results of whether middle school students and high school students have taken the SAT. From the information given, we can determine the missing values in the table:

Middle School Students Taken SAT = 37%

High School Students Not Taken SAT = 4%

*Please note that the table was not provided with the question, so we are unable to fill in the missing values.

Answer:

The answer is B (132,220)

Step-by-step explanation:

I got it correct on the test

Plato tests

The required equilibrium point for the supply and demand curves for a product line of bicycles is (135, 225).

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

here,
The graph shows the supply and demand curves for a product line of bicycles.
To determine the equilibrium point we to locate the intersection point of supply and demand.
From the graph, the intersection point is (135, 225), which is the approximate equilibrium point.

Thus, the required equilibrium point for the supply and demand curves for a product line of bicycles is (135, 225).

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Answer:

(w/3)-10

Hope this helps!

w/3 - 10 is an expression for the above-described series of operations.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given, divide w by 3, then subtract 10 from the result Do not simplify any part of the expression.

We need to Create an expression for the above sequence

divide w by 3

=> w/3

then subtract 10

=> w/3 - 10

Since it's written in the problem that does not simplify hence, we would simplify this equation further.

Therefore, an expression for the sequence of operations described above is w/3 - 10

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Answer:

3(y-4) =2y+6

3y - 12 = 2y +6

y = 18

so length is 42 in.

width is 14 in.

After solving the given equations, the length of the rectangle is 42 inches and the width of the rectangle is 14 inches.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

The given data in the question,

According to the given diagram,

Length of the rectangle, L = 2y + 6 inches    (i)

Width of the rectangle, W = y - 4 inches   (ii)

The width of the rectangle is 1/3 of the length,

1/3(2y + 6) = (y - 4)

2y + 6 = 3y - 12

y = 18.

Substitute y = 18 in equation (i)

L = 2(18) + 6

L = 42 inches

Substitute y = 18 in equation (ii)

W = (18 - 4)

W = 14 inches.

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Answer:

Just add up all the sides and you get the perimeter.

Answer:

Exact form: 65/24

Decimal form: 2.7083

Mixed number form: 2 17/24

Step-by-step explanation:

4 3/8 - 1 2/3 = 2 17/24

Answer:

the domain is : D = ]-∞ , -5[ U ]-5 , -3[ U ]-3 , +∞[

Step-by-step explanation:

hello :

f(x) = 9x/(x+5)(x+3)

f exist for : (x+5)(x+3) ≠ 0

(x+5)(x+3)=0

x+5=0 or x+3=0  means : x= - 5 or x= -3

the domain is : D = ]-∞ , -5[ U ]-5 , -3[ U ]-3 , +∞[

Answer:

6 units

Step-by-step explanation:

Answer:

6 units

Step-by-step explanation:

Answer:

The answer is C. 56

Step-by-step explanation:

So if we replace C with 56, the equation would look like this, 2(56)=112.

Answer:

36

Step-by-step explanation:

12/2 = 6

6^2 = 36

Final answer:

If Ezra works less than or equal to 50 hours doing lawn care, he must spend at least [answer] hours walking dogs.

Explanation:

To determine the minimum number of hours Ezra must spend walking dogs when he works less than or equal to 50 hours doing lawn care, we need to refer to the given information and apply it to the situation

According to the exercise, Louis requires one hour to cut a typical lawn, while Carrie Anne needs one and one-half hours. Therefore, Louis is more efficient at cutting grass. Carrie Anne, on the other hand, can wash a car in half an hour, while Louis requires three-quarters of an hour. So, Carrie Anne is more efficient at cleaning cars.

If they each specialize in the task they are most efficient at, Louis should cut the grass, and Carrie Anne should wash cars. This way, they can maximize their output in a given amount of time.

Now, if they each work a twelve-hour day, we can calculate how many lawns they can cut and how many cars they can wash based on their efficiency. Louis can cut 12 lawns (since he requires 1 hour per lawn), and Carrie Anne can wash 24 cars (since she can wash a car in 0.5 hours).

Therefore, if they specialize in their most efficient tasks, they can cut 12 lawns and wash 24 cars in a twelve-hour day.

Answer:

IT IS 35

Step-by-step explanation:

Perimeter formula: 2b + 2h

Area formula: b * h

Perimeter:

2(13) + 2(10)

26 + 20

46

Area:

13 * 10

130

The perimeter is 46ft.²

The area is 130ft.²

Best of Luck!

In mathematics, the perimeter of the 13ft by 10ft bedroom would be 46ft and the area would be 130 square feet.

The perimeter of a rectangle (which a bedroom is 13ft. by 10ft. mostly is) can be determined by adding up all the sides. So, the formula for a rectangle is: Perimeter = 2(length + width). Given that your length is 13ft and width is 10ft, the calculation would be Perimeter = 2(13ft + 10ft), resulting in a perimeter of 46ft.

The area of a rectangle is calculated by multiplying the length by the width. In this case: Area = length * width, therefore Area = 13ft. * 10ft., resulting in an area of 130 square feet.

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Answer:

15.92

Step-by-step explanation:

50 ÷ 3.14 = 15.92

Answer:

The Nile River is 2,200 miles longer than the Rio Grande.

Step-by-step explanation:

4100-1900=2200

Answer:

Answer:

The Nile River is 2,200 miles longer than the Rio Grande.

Step-by-step explanation:

4100-1900=2200

Step-by-step explanation:

Answer:

x =-1

y =-1

Step-by-step explanation:

to solve this system of equation, using substiution method

3x-4y=1 ........................ equation 1

x=2y+1 ............................  equation 2

subbstitute for x into equation 1

3x-4y=1 ........................ equation 1

3(2y + 1) - 4y = 1

6y + 3 -4y = 1

2y + 3 = 1

collect the like terms

2y = 1- 3

2y= -2

divide both sides by  the coefficient of y which is y

2y/2 = -2/2

y = -1

put the value of y =-1 into equation 2

x=2y+1 ............................  equation 2

x = 2(-1) + 1

x = -2 + 1

x = -1

therefore x =-1 y = -1

Therefore, the sample size of a population of 200 is most likely to give a reliable conclusion is 80.

Answer:

80

Step-by-step explanation:

Answer:

- q² - q + 72

Step-by-step explanation:

To express the given expression as a polynomial in standard form, we would first multiply the individual elements in one parenthesis with the elements in the second.

We would then rearrange the outcome and simplify it algebraically.

The arrange it in the order of the unknown variable.

As such,

(9+q)(8-q) = 9(8-q) +q(8-q)

= 72 -9q + 8q - q²

= 72 - q - q²

= - q² - q + 72

To form the expression (9+q)(8-q) into a polynomial in standard form, we multiply the terms using the distributive property to get -q² - q + 72.

The student has asked for the expansion of a binomial expression into polynomial form, in this case, expanding (9+q)(8-q). The process involves using the distributive property, also known as the FOIL method (First, Outer, Inner, Last), to multiply each term in the first binomial by each term in the second.

Expanding the binomials, we have:

First: 9 × 8 = 72

Outer: 9 × (-q) = -9q

Inner: q × 8 = 8q

Last: q × (-q) = -q²

Combining like terms (-9q and 8q) gives -q and then adding to the remaining terms, we have:

72 - q - q²

Reordering to get the polynomial in standard form (highest degree first), the result is:

-q² - q + 72

Answer:

A) The graph represents the data appropriately.

Step-by-step explanation:

The graph above is a true representation of data showing the percent of political parties people who agreed with court.

From the graph above, three categories of political parties people are concerned; which are, the Democrats, the Republicans and the Independents.

It can therefore be deduced that 62% of the Democrats agreed with court. By implication, the percent of the Democrats who disagreed with court is 38%. Conversely, 54% of people agreed with court for both the Republicans and the Independents respectively. This implies that the percent of both the Republicans and the Independents who did not agree with court is 46% respectively.

However, the graph fails to provide us with information about what the people agree on; probably the outcome of an election or appointment of a minister.

The graph is not misleading in any way and it is not necessary that the vertical scale begin at zero. Therefore, the data represents the graph appropriately.

Answer:

The SF is 2/3

Step-by-step explanation:

You can find this out by creating a ratio between the points and it's image. The one with the apostrophe is the image, and the bigger one is the pre-image.

The answer explains the positive and negative square roots of 64.

When dealing with the square roots of a number like 64, remember that the square root of 64 is 8, both positive and negative. This is because (-8) x (-8) equals 64 just like (8) x (8) equals 64, following the rule that multiplying two negative numbers results in a positive number.

Transformations can be applied to functions to change the appearance of

the (slope and intercept) of the function.

The result of the transformation are presented as follows;

Reasons:

The given function is; f(x) = 3·x + 2

The function -5·(3·x + 2) is the same as -5 × f(x) = -f(x)

Therefore;

-5·(3·x + 2)  → -5·f(x)

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

Therefore;

3·x - 5 + 2  → f(x) - 5

The function 3·(x - 5) + 2 by comparison to 3·x + 2 is obtained when x is replaced by (x - 5), therefore;

f(x) = 3·x + 2

f(x - 5) = 3·(x - 5) + 2

3·(x - 5) + 2 → f(x - 5)

The function 3·(-5·x) + 2 is obtained when x in f(x) is replaced by (-5·x),

which gives;

f(x) = 3·x + 2

∴ f(-5·x) = 3·(-5·x) + 2

Which gives;

3·(-5·x) + 2 → f(-5·x)

The completed table is therefore;

[tex]\begin{tabular}{|c|c|c|c|}f(x-5)&f(x) - 5&-5 \cdot f(x) &f(-5\cdot x)\\3\cdot (x - 5) + 2&3 \cdot x - 5 + 2&-5\cdot (3 \cdot x + 2)&3 \cdot (-5\cdot x) + 2 \end{array}\right][/tex]

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Answer:

4/12 or 1/3

Step-by-step explanation:

Answer:

1:3 or 1/3

Step-by-step explanation:

September, October, November, December

4 moths out of twelve

4/12 reduces to 1/3

The answer could be written 1/3 or 1:3.

Answer:

You set up an equation, using the trig function "tan" to find half of the roof (the equation would be tan(24) = 3.5/x, where x = 1/2 roof width)

Step-by-step explanation:

That would be the first step.

You solve the equation for x, and then multiply x by 2 to get the width of the roof.