use your graphing calculator to check whether r= -9 and r= -11 are solutions to the equation r^2 + 11r + 28 = 10

y1=
y2=

proposed solutions | x | y1 | y2
-9 | ? | ?
-11 | ? |?

r= -9 is/is not a solution?
r= -11 is/is not a solution?

The coefficients (a, b) = (4, 2) are the solutions to the system formed by three equations with two variables.

In this problem we must determine the values of two coefficients associated with a linear combination, which is equivalent to the following system of linear equations:

a + 4 · b = 12

a - b = 2

- 3 · a + 5 · b = - 2

Since the number of equations is greater than the number of variables, there are two posibilities: (i) No solution, (ii) A solution. Now we find the solution to the system formed by the first and second equations:

a + 4 · b = 12

a - b = 2

(a, b) = (4, 2)

Now we check in the third equation:

- 3 · 4 + 5 · 2 = - 2

- 12 + 10 = - 2

- 2 = - 2 (TRUE)

The coefficients (a, b) = (4, 2) are the solutions to the system.

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Answer:

(x² + 6)(x + 1)

Step-by-step explanation:

x³ + 6x + x² + 6

x³ + x² + 6x + 6

(x³ + x²) + (6x + 6)

x²(x + 1) + 6(x + 1)

(x² + 6)(x + 1)

I hope this helps!

SOLUTION

The given expression is:

This is simplified to give

This further gives

Therefore the required answer is:

Solution

For this case we can see that the correct solution would be;

Given that CB bisects angle bisector theorem

Therefore by ASA. Triangle ABC = Triangle DCB

Step-by-step explanation:

so, we need to get the slope-intercept form

f(x) = y = ax + b

"a" is as always the slope, "b" is the y-intercept (the y-value when x = 0).

as we have the slope and a point, we can start with the point-slope form and transform it :

y - y1 = a(x - x1)

with (x1, y1) being a point on the line.

y - 7 = -9(x - 2) = -9x + 18

y = -9x + 25

therefore, the functional equation is

f(x) = -9x + 25

Answer:

X is 44 - X = 44

Step-by-step explanation:

Please help me with mine.

Using the data from the question, we draw the following triangles:

The dimensions are in feet.

Now, the two triangles are proportional, so if we compute the ratio between the height and the basis of the first triangle, and then we do the same with the second, we must obtain the same number:

Replacing the dimensions of the triangles in the last equation, we get:

From the last equation we can compute b2, the basis of the second triangle, doing that we find that:

So the second triangle's base is:

(in feet)

Answer

A. 200

Answer:

4x - y - 5 = 0

Step-by-step explanation:

Given:

Slope = m = 4

(x1,y1) = (1,-1)

Solution:

y - y1 = m (x - x1)

y - (-1) = 4 (x - 1)

y + 1 = 4x - 4

y = 4x - 4 - 1

y = 4x - 5

4x - y - 5 = 0

Answer: 513 campers

Explanation

The total number of boys in the camp is 278

There are 43 fewer girl campers than boy

Let the total number of campers be x

Let the total number of girl campers be y

Since, there are 43 fewer girl campers than boy

Hence, the total number of girl campers is

y = Boy campers - 43

Boy campers = 278

y = 278 - 43

y = 235

Since, y is the total number of girl campers, hence, the total number of girl campers is 235

The total number of campers = number of boy campers + number of girl campers

The total number of campers = 278 + 235

The total number of campers = 513 campers

The answer is 513 camperst

Height = 1/2t + 6

To find after how many days the plant is 21 inches tall, replace height by 21:

21 = 1/2t + 6

Solve for t (days)

21-6 = 1/2t

15 = 1/2t

Multiply both sides of the equation by 2:

15(2) = 1/2t (2)

30 =t

After 30 days

Given

This can be written as:

The tip of 15% is 15% of the total value of the bill, which is $40. So, we need to take 15% of 40.

Taking 15% of 40 is the same as multiplying 15% by 40. 15% can also be written as:

So, we can take 15% of 40 by multiplying 0.15 by 40:

So, the amount left for the tip is $6.

ok

Area = 27ft^2

length = l

width = w

Equation

l = 2w + 3

Section A

Area

A = l*w

A = (2w + 3)* w or A = 2w^2 + 3w

27 = 2w^2 + 3w

2w^2 + 3w - 27 = 0 This is the equation

Section B

2w^2 - 6w + 9w - 27 = 0

2w(w - 3) + 9(w - 3) = 0

(w - 3)(2w + 9) = 0

w1 - 3 = 0 2w + 9 = 0

Answer: f(-2) = 3

The the below quadratic function

Find f(-2). To find f(-2) let x = -2

Let x be the amount of calls that Carmen received at the third evening.

The first evening she received 6 calls fewer than the third, so that is x-6. The second evening, she received 3 times the number of calls of the third evening. So that is 3*x. The sum of this three quantities should be 74,sinche she received 74 calls in total. So, we have the equation

If we add all x values we get

If we add 6 on both sides, we get

Now, if we divide by 5 on both sides, we get

So in the third evening she received 16 calls. The first evening she received 16-6 = 10 calls and the second evening she received 16*3 = 48 calls.

A line has a slope of -8 and passes through the point (0,5)​

Find out the equation of the line in slope-intercept form

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

in this problem

m=-8

b=5

therefore

1) Looking at that expression

5n -2= 9

Since the expression is written this way, we can assume the wording is

Five times a number subtracted from two equals 9.

Because the number, n is 1 unit, then. We can read like that.

we are asked to determine the slope of the line that passes through the points (0, 3) and (2, -1). To do that we need to use the formula for the slope of a line:

Where:

Replacing in the formula:

Solving the operations:

therefore, the slope is -2.

To determine the y-intercept we can use the point (0,3), since this means that when x = 0, y = 3. Since the y-intercept is the value of "y" when x = 0, this means that the y-intercept is 3.

To determine the equation of the line we need to use the general form of a line equation:

Where "m" is the slope and "b" the y-intercept. Replacing the value of the slope and "b"

Answer: 6 units

Step-by-step explanation: first set up the distance formula

d= the square root of [(-7+1)^2+(7-7)^2}

the y values =0 so we are left with the square root of -6^2=d

and this simplifies out to d=6

Answer:

the set of all the solutions of an equation or condition.

Consider the coordinate (-1 3/4, 4 1/2).

Therefore, the x coordinate and y coordinate are - 1 3/4 and 4 1/2 respectively.

First, we must move back and forth between -1 and -2 by one and three.

In order to acquire 4 1/2, we must first get 4 above the y-axis, followed by half between 4 and 5.

The location at which the horizontal line at 4 1/2 and the vertical line at -1 3/4 would connect would be marked with a coordinate.

Or,

x = - 1 ( 3/4 ) = - 7/4 = - 1.75 and;

y = 4 1/2 = 9/2 = 4.5

Hence, ( -1 3/4, 4 1/2 ) = ( - 1.75, 4.5 ).

The shown red point on the graph is the coordinate (-1 3/4, 4 1/2).

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Let's determine which sale is better.

20% means that the shirt will cost:

$30 coupon means that the shirt will cost $90

15% off and $15 rebate means:

10% off and $20 rebate means:

Comparing the prices we conclude that the best deal is C

The simplified form of the three algebraic terms 0.3p + 0.2p + 0.4p  is 0.9p

The three algebraic terms are

0.3p + 0.2p + 0.4p

The algebraic expression is defined as the expression which is made up of constants and variables with the algebraic operation. The algebraic operations are addition subtraction, division and multiplication

To solve this problem first we have to group the like terms of the given expression and add the like terms of the expression

The three algebraic terms are

= 0.3p + 0.2p + 0.4p

Group the like terms

= (0.3 + 0.2 + 0.4) ×p

Add the terms together

= 0.9p

Hence, the simplified form of the three algebraic terms 0.3p + 0.2p + 0.4p  is 0.9p

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The most appropriate choice for division will be given by-

Quotient = [tex]a - 3[/tex] and remainder = -3

What is division?

For finding the value of single unit from the value of multiple unit, division is used.

Division can be used for integers as well as for algebraic polynomials.

The expression which is divided is known as dividend.

The expression by which the dividend is divided is known as divisor.

The result obtained on division is called the quotient and the part which is remaining is called the remainder.

There is a well known formula in case of division.

Divisor [tex]\times[/tex] Quotient + Remainder = Dividend

The long division has been shown here-

[tex]\begin{array}{r}a-3\phantom{)} \\a-2{\overline{\smash{\big)}\,a^2-5a+3\phantom{)}}}\\\underline{-~\phantom{(}(a^2-2a)\phantom{-b)}}\\-3a+3\phantom{)}\\ \underline{-~\phantom{()}(-3a+6)}\\ -3\phantom{)}\end{array}[/tex]

Here Quotient  = [tex]a - 3[/tex] and remainder = -3

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In this case, we'll have to carry out several steps to find the solution.

Step 01

Data:

reasonable estimate = ?

39x24​

Step 02:

39x24​ = 936

reasonable estimate = 800

The answer is:

reasonable estimate = 800

Answer:

m=2

Step-by-step explanation:

m=2 is the answer hope this helped

Answer:

m=2

Step-by-step explanation:

Follow this step by step solution.

Hope this was helpful.

Given: Principal, P=$825

Rate, R=10% compounded annually

Time, t=3 years.

Required: To find the amount after 3 years.

Explanation: The amount, A after t years at r% rate is given by

Putting the values we get

Final Answer: The amount after 3 years is $1098.075.