What is the slope of the line shown below?

The equation of the line that passes through the point (–1, 1) and has a slope of –2 is y = -2x - 1.

The question is asking for the equation of the line that passes through the point (–1, 1) and has a slope of –2. The formula for a line is y = mx + b, where m is the slope and b is the y-intercept. Since we know the slope (m) is -2, and we have the coordinates of a point on the line (-1,1), we can substitute these values into the formula to solve for 'b', the y-intercept.

So, 1 = -2*(-1) + b, which simplifies to 1 = 2 + b. Solving this for b gives us a y-intercept (b) of -1.

Therefore, the equation of the line that contains the given point and has the given slope is y = -2x - 1.

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Lea spends $134 on model cars and paint.

To find out how much Lea spends on model cars and paint, we need to calculate the total cost of each item and then add them together. The cost of 6 model cars is 6 x $15 = $90. The cost of 4 bottles of paint is 4 x $11 = $44. Adding these two amounts together, Lea spends $90 + $44 = $134 on model cars and paint.

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Answer:

Ac and ad

Step-by-step explanation:

The following are opposite rays; AC and AD. so option B is correct answer.

For points to be collinear means they lie on the same line. A rays to be opposite, they should be in the same line making a 180° or a straight line with each other.

A Coplanar means the points lie in the same plane. For these rays to be opposite and collinear the points should lie in the same plane.

Given; Points c, a and b are collinear.

A, B, C are coplanar and also A, B, C are collinear.

The following are opposite rays; AC and AD. so option B is correct answer.

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If Jill pays with a credit card, her payment will be recorded immediately. This means that the item could be shipped almost as soon as she pays for it. On the other hand, if she uses a check or money order, then her payment will take a while to be received, as she would have to send the physical item over the mail. Therefore, she would receive her package earlier if she paid with a credit card.

The slope is [tex]m=\dfrac{\Delta y}{\Delta x}[/tex]

We have slope m = 3.

[tex]m=3=\dfrac{3}{1}[/tex]

3 > 0 - up 3 units

1 > 0 - right 1 unit

Answer in attachment.

Final answer:

The area of the flour tortilla with a 14-centimeter radius is approximately 615.75 square centimeters.

Explanation:

The area of a circle is given by the formula A = πr², where r is the radius. Given a 14-centimeter radius, the area of the flour tortilla would be:

A = π(14 cm)² = 196π cm² ≈ 615.75 cm²

Thus, the area of the flour tortilla is approximately 615.75 square centimeters.

C . Find a point that lies in the shaded region, or plug the points in and determine which point makes the inequality true.

The total interest accrued on two credit cards in the first month is $28.44, with $19.51 coming from the first card with a balance of $3,745 at 6.25% APR and $8.93 from the second card with a balance of $1,045 at 10.25% APR based on a credit score of 500.

The question involves calculating the total interest accrued on two credit cards in the first month. The first credit card has a balance of $3,745.00 at an annual percentage rate (APR) of 6.25%, and the second credit card has a balance of $1,045.00 with an APR that depends on the credit score. Given a credit score of 500, the APR for the second card is 10.25% (per the provided table).

First, to find the monthly interest for each card, we can use the formula: Monthly Interest = (Balance) x (APR) / 12 months.

For the first card: Monthly Interest for $3,745.00 at 6.25% APR is ($3,745.00) x (0.0625) / 12 = $19.51.

For the second card: Monthly Interest for $1,045.00 at 10.25% APR is ($1,045.00) x (0.1025) / 12 = $8.93.

To find the total interest accrued from both credit cards in the first month, simply add the monthly interest amounts from each card: $19.51 + $8.93 = $28.44.

First day temperature is 0 degree.

Second day temperature is 3 degree higher than first day's temperature.

In order to find the higher temperature we need to add increased temperature in previous day's temperature.

First day given temperature is 0 degree .

Three degree higher than 0 would be 0+3.

On adding 0 and 3 we would get 3.

Answer:

18

Step-by-step explanation:

a p e x

There are multiple ways that you could graph this quadratic equation. I would start by finding the vertex. The x-value in the vertex is found with -b/2a. The take you value and input back into the equation to find the y-value of your vertex. Then, you could make a list of points on both sides of the vertex to create a table with which to create the parabola.

Answer:

Step-by-step explanation:

is equal 45

That would be point-slope form, standard form, and slope-intercept form.

The three forms of linear equations are the standard form (Ax + By = C), the slope-intercept form (y = mx + b), and the point-slope form (y - y1 = m(x - x1)).

The three forms of linear equations are:

The standard form, which appears as Ax + By = C, where A, B, and C are constants, and A and B are not both zero.

The slope-intercept form, given by y = mx + b, with m representing the slope and b representing the y-intercept.

The point-slope form, which is written as y - y1 = m(x - x1), where m is the slope and (x1, y1) is a known point on the line.

Each form is useful in different contexts: the standard form is often used when both x and y intercepts are integers; the slope-intercept form is useful for quickly identifying the slope and intercept; and the point-slope form is handy when a point on the line and the slope are known.

Imma guess the middle one

Answer:

B

Step-by-step explanation:

The expression for the cost of the ABC Book Club is 2x + 40.  The expression for the cost of the Easy Book Club is 3x + 35.  To find when the total charge for both book clubs is equal, the two expressions must equal each other. (x = the number of books read)

2x + 40 = 3x + 35

Subtract 35 from both sides.

2x + 5 = 3x

Subtract 2x from both sides.

5 = x

So, the total charge for each club is equal when 5 books are read.

The number of books read from both ABC and Easy book clubs must be 5 in other to have a equal monthly charge.

Let the number of books read = b

ABC Book club :

Monthly charge = $40

Fee per book read = $2

Total monthly charge = 40 + 2b - - - - (1)

Easy Book Club :

Monthly charge = $35

Fee per book read = $3

Total monthly charge = 35 + 3b - - - (2)

To obtain an equal monthly charge ;

Equation(1) = Equation(2) and solve for b

40 + 2b = 35 + 3b

40 - 35 = 3b - 2b

5 = b

Hence, to have an equal monthly charge, the number of books read from each club must be 5.

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One

Slope

The general slope intercept equation for a line is

y = mx + b

If you are told outright what the slope is then you can write m = slope in this case - 3

So you have so far is y = -3x + b. Now you use the point to get the y intercept.

(2,5) means that when x = 2, y = 5. that allows you to solve for b

Y intercept

When x = 2, y = 5. Substitute that into the general equation with the slope.

5 = -3x + b            Put 2 in for x

5 = -3 * 2 + b         Multiply -3 * 2

5 = - 6 + b             Add 6 to both sides

5 + 6 = b

11 = b

Answer

y = -3x + 11

Two

This question is a little harder. You have to find the slope.

Slope Formula

[tex]\text{m = } \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

Givens

Points (2, -1), (-6, - 5)

y2 = -1 ; y1 = -5; x2 = 2;  x1 = -6

Solve

m = (-1 - - 5)/(2 - - 6) = (-1 + 5)(2 + 6) = 4/8 = 1/2

Now find the y intercept. Use either one of the given points

(2,-1) when x = 2, y = - 1

y = 1/2 x + b      Show what you have so far. Put in x = 2 for x and y = - 1 for y

-1 = 1/2(2) + b    Multiply 2*1/2

-1 = 1 + b            Subtract 1 from both sides.

-1 -1 = b

- 2 = b

Answer

y = (1/2)x - 2 which is D

Elizabeth had to save $280 each month.

The correct option is (2).

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.

As per the given data:

The annual tuition at a public two-year college last year was $3,200.

Expected growth in the tuition fee = 5%

We have to find the amount Elizabeth should have saved monthly during the previous year to pay her tuition fees.

For finding the increase in tuition fee:

= 5% of 3200

= (5/100) × 3200

= $160

Tuition fees after growth = 3200 + 160 = $3360

Amount Elizabeth had to save each month = Tuition fees after growth/12

= 3360/12

= $280

Elizabeth had to save $280 each month.

Hence, Elizabeth had to save $280 each month.

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15% is written as 0.15 in decimal format.

Multiply the cost of the meal by 0.15.

19.50 x 0.15 = 2.925, which would round to $2.93

The tip is $2.93

To calculate a 15% tip for a $19.50 meal, convert 15% to decimal form (0.15), multiply by the cost of the meal ($19.50), and round to the nearest cent, resulting in a $2.93 tip.

Chris wishes to tip 15 percent to the waiter for his meal which costs $19.50. To calculate the amount of the tip, we need to convert the percentage to a decimal and then multiply it by the cost of the meal. Here's how you can do it:

Convert the tip percentage to a decimal: 15% ightarrow 0.15.

Multiply the decimal by the total cost of the meal: $19.50 imes 0.15.

The calculation gives us the tip amount: $2.925.

Since it's difficult to leave a fraction of a cent as a tip, we would round this to the nearest cent, giving us $2.93.

Therefore, Chris should tip $2.93 to the waiter.

Answer:

The degree of the polynomial in the expression below is:

A. 7

(hope this helps :3)

Answer: A.) 7

Step-by-step explanation: a p e x

The next number is 1440.

Here is the pattern:

12*2=24

24*3=72

72*4=288

So, you have to multiply 288 by 5, which will get you the answer 1440.

A 7th grade student will be absent approximately 0.4 times during the month.

To find out how many times a 7th grade student will be absent during the month, we first need to determine the average number of absent students per day for each grade. The total number of absent students across all grades is 5 + 8 + 9 = 22. Since there are 20 school days in a month, the average number of absent students per day is 22 / 20 = 1.1.

Next, we need to determine the proportion of absent students that are 7th graders. The 7th graders had 8 absent students, so their proportion of absent students is 8 / 22 = 0.3636 (rounded to four decimal places).

Finally, to find out how many times a 7th grade student will be absent during the month, we multiply the average number of absent students per day (1.1) by the proportion of absent students that are 7th graders (0.3636). This gives us the final answer of approximately 0.39996 (rounded to five decimal places) or about 0.4 times.

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-2x + 6y = -38   ⇒   3(-2x + 6y = -38)   ⇒   -6x + 18y = -114

3x  - 4y  = 32   ⇒    2(3x  - 4y  = 32)   ⇒    6x - 18y =   64

                                                                              0   =   50

                                                                                 FALSE

False statement means there are no solutions.

Answer: No Solution

We will solve this system with method of opposing coefficients - Gaussian algorithm

-2x+6y= -38

3x-4y= 32

We will divide first equation with number 2 and get

-x+3y = - 19

then we will multiply the same equation with number 3 and get

-3x+9y = - 57

We will overwrite the second equation below the last one and get next equivalent system

-3x+9y = - 57

 3x-4y = 32

We add first equation to the second and get

5y = -25 => y= -25/5 => y= -5

Now we will replace variable y= -5 in the equation -x+3y = - 19 and get

-x+3(-5) = -19 => -x-15 = -19 => x- 19-15=4 => x=4

The correct answer is (x,y) = (4,-5)

We can check in the first equation and get

-2*4+6*(-5) = -38

-8-30 = -38

-38 = -38  We get equality, the solutions are correct.

This system have one real solution.

Good luck!!!

Answer:

Given:-Point P is the mid -point of MN and C is mid point of MP.

To prove:-MC =1/2PN

Proof:- As P is the mid -point of MN then P divides MN into two equal halves

such that MP=1/2MN=PN      ....................(1).(by Euclid's axiom "things which are equal to the same thing are also equal to one another")

Similarly as C is the mid point of MP then MC=1/2MP=CP ................(2)

Now replacing MP by PN from (1)in (2),we get

MC=1/2(PN)...................hence proved.

Step 1. Use Multiplication Distributive Property

2^2x^2y^2 * -3x^2 * 4y^4

Step 2. Simplify 2^2 to 4

4x^2y^2 * -3x^2 * 4y^4

Step 3. Take out the constants

(4 * -3 * 4)x^2x^2y^2y^4

Step 4. Simplify 4 * -3 * 4 to -48

-48x^2x^2y^2y^4

Step 5. Use product rule: x^a x^b = x^a + b

-48x^2 + 2 y^2 + 4

Step 6. Simplify 2 + 2 to 4

-48x^4y^2 + 4

Step 7. Simplify 2 + 4 to 6

-48x^4y^6

14|x| - 14 = 41      |add 14 to both sides

14|x| = 55      |divide both sides by 14

|x| = 55/14 ↔ x = - 55/14 or x = 55/14