This is adding and subtracting binomials please help I need this ASAP (17 points)

Answer:

Answer:

[tex]x\approx 267\ miles[/tex]

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

[tex]f(x)=mx+b[/tex]

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

[tex]c = mx+b[/tex]

We must find the values of m and b with the data provided. Substituting the first point:

[tex]79 = 150m+b[/tex]

Substituting the second point:

[tex]63.70 = 65m+b[/tex]

Both equations form the following system:

[tex]\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.[/tex]

Subtracting both equations:

[tex]150m-65m=79-63.70[/tex]

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

[tex]85m=15.3[/tex]

Solving:

[tex]m=15.3/85=0.18[/tex]

From the first equation

[tex]79 = 150m+b[/tex]

Solving for b:

[tex]b=79-150m=79-150(0.18) = 52.[/tex]

The model for the problem is:

[tex]c=0.18x+52[/tex]

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

[tex]100=0.18x+52[/tex]

Solve for x:

[tex]0.18x+52=100[/tex]

[tex]0.18x=100-52=48[/tex]

[tex]x=48/0.18=266.67[/tex]

Rounding to the closest integer:

[tex]\boxed{x\approx 267\ miles}[/tex]

Answer:

X=7

X=2

Step-by-step explanation:

Answer:

hi there

12x - 5x - 6x + 6x = 9 + 7

7x + x = 16

8x = 16

x = 16/8

Step-by-step explanation:

hope u understand

Answer:

line 1&2 are neither

line 1&3 are also neither

lines 2 and 3 however are perpendicular since they make 90 degree angles when they meet.

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Here, The equations are;

-3y=5x+6

5x+3y+6=0.........(i)

10x-6y+4 =0......(ii)

y= -3/5x+3.......(iii)

From equation (i).

[tex]slope(m1) = \frac{ - coeff. \: ofx}{coeff. \: of \: y} [/tex]

Put all values.

[tex]m1 = \frac{ - 5}{3} [/tex]

Now, from equation (ii).

[tex]m2 = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

Put all values.

[tex]m2 = \frac{ - 10 }{ - 6} [/tex]

[tex]m2 = \frac{5}{3} [/tex]

As m1 is not equal to m2 it is not parallel lines.

For perpendicular lines;

m1×m2= -1.

[tex] \frac{ - 5}{3} \times \frac{5}{3} [/tex]

After simplifying it we get -25/9 which is not equal to-1. So, it is not perpendicular lines.

Therefore, the lines are neither parallel nor perpendicular.

But the lines of equation (ii) and (iii) are perpendicular to eachother.

-3/5×5/3= -1

[ so, the line (ii) and (iii) are perpendicular to eachother but others are neither]

Hope it helps...

Hey there! :)

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

Simplify.

-g + 6 + 2g = -4g - 4

Add like terms.

(-g + 2g) + 6 = -4g - 4

Simplify.

g + 6 = -4g - 4

Add 4g to both sides & subtract 6 from both sides to isolate "g."

g + 4g + 6 - 6 = -4g + 4g - 4 - 6

Simplify.

5g = -10

Divide both sides by 5.

5g/5 = -10/5

Simplify.

g = -2

Hope this helped! :)  

Answer: G = -2

Step 1.

Subtract 6 from both sides.

g + 6 - 6 = -4g - 4 - 6

Step 2.

g = -4g - 10

Step 3.

Add 4g to both sides.

g + 4g = -4g - 10 + 4g

Step 4.

Simplify.

5g = -10

Step 5.

Divide both sides by 5.

[tex]\frac{5g}{5}=\frac{-10}{5}[/tex]

Step 6.

Simplify.

1. Divide 5g by 5.

[tex]\frac{5g}{5}=g[/tex]

2. Divide -10 by 5.

[tex]\frac{-10}{5}=-2[/tex]

Hence, -2 is the answer.

Step-by-step explanation:

solution

or,-8p=40

or, p=40/-8

or, p=-5

The solution to the given question is "Optimal B = 0.3 and S = 0.7 where 0.088 was its optimal value", and further calculation can be defined as follows:

         In a fund for stocks.  

             [tex]Max \ \ 0.06 \ b+0.1 \ S \ \ \ \\\\B \geq 0.3 \ \ \ \ \ \ \ \ \ \ \ \ \text{Bond fund minimum} \\\\0.06 \ B+ 0.1 \ S \geq 0.075 \ \ \ \ \ \ \text{Minimum return} \\\\B+S=1 \ \ \ \ \ \ \ \text{All funds invested}\\\\B,S\geq 0 \\[/tex]

          [tex]B = 0.3 \\ \\0.06 \ B+0.1 \ S = 0.75\\\\ B+s =1[/tex]

          [tex]B+s=1=10 \\\\0.3+s = 1 \\\\The \ \ s= 0.7 \\[/tex]

Optimal B = 0.3 and S = 0.7 where 0.088 was its optimal value.

please find the attachment:

Find out more about the 'linear programming model' here:

brainly.com/question/15356519

Answer:

A) = (  19.2501, 29.4999 )

B) 90% confidence interval would be narrower than 99% confidence interval

C)  ( mean - margin of error ,  mean + margin of error )

Step-by-step explanation:

customer base > 10000

sample = 24 clients

period ( time ) = 4 months

A) Determine 99% confidence interval for population mean

mean = 24.3750

std = 8.9434

sample size = 24

initial margin of error = 1 - 0.99 = 0.01

99% confidence interval for population mean = (  19.2501, 29.4999 )

B) 90% confidence interval would be narrower than 99% confidence interval

c) The 99% confidence interval  when sample size = 400

we cannot determine the mean value for 400 customers because the values given are for just 24 customers

 ( mean - margin of error ,  mean + margin of error )

attached below is the detailed solution

Answer:

f(0) = 3

Step-by-step explanation:

We will use the first equation, since x = 0

Answer:

3[tex]x^{4}[/tex] + 5x - 2[tex]x^{-3}[/tex] + c

Step-by-step explanation:

Using the power rule on each term

∫ a[tex]x^{n}[/tex] dx = [tex]\frac{a}{n+1}[/tex] [tex]x^{n+1}[/tex] ( n ≠ - 1 )

Given

∫ (12x³ + 5 + 6[tex]x^{-4}[/tex] ) dx

= [tex]\frac{12}{4}[/tex] [tex]x^{4}[/tex] + [tex]\frac{5}{1}[/tex] x + [tex]\frac{6}{-3}[/tex] [tex]x^{-3}[/tex] + c ( c is the constant of integration )

= 3[tex]x^{4}[/tex] + 5x - 2[tex]x^{-3}[/tex] + c

Answer: y = 3x - 8

Step-by-step explanation: If you’re given two points that lie on a line, and you’re asked to write the equation of the line, your first task will be to find the slope of that line using the slope formula.

The slope formula is m = y₂ - y₁ / x₂ - x₁

Substituting our points in, we have -17 - -2 / -3 - 2 which is -15/-5 or 3.

So the slope of our line is 3 which can be used with either one of our

two points to write the equation of the line in point-slope form.

So let's go with the point (2, -2).

Point-slope form is written y - y₁ = m(x - x₁).

Since we're using the point (2, -2), y - y₁ would be y - -2 or y + 2.

Now, m would be 3 and x - x₁ would be x - 2.

So we have y + 2 = 3(x - 2).

To put this equation into slope-intercept form, we would first distribute

the 3 through the parentheses which gives us y + 2 = 3x - 6.

Move the number to the right side of the equation by

subtracting 2 from both sides and we have y = 3x - 8.

So the equation of the line would be y = 3x - 8.

Step-by-step explanation:

[Note] The perpendicular bisects the line segment (property of circles).

Using Pythagorus theorem :

[tex]r = \sqrt{ {12}^{2} + {8}^{2} } = 14.42 \: units[/tex]

Hello! :)

1/10 of 9000 is 900

9000 divided by 10 is 900

900 times 10 equals 9000

The answer would be 900.

Hope this helped you!

THEDIPER

Answer:

no solution

Step-by-step explanation:

-4|7 – 6k| = 14

Divide both sides by -4.

|7 - 6k| = -14/4

|7 - 6k| = -7/2

An absolute value can never equal a negative number since an absolute value is always non-negative. Therefore, there is no solution.

Answer: no solution

Answer:

C.

Step-by-step explanation:

It is C. because 29 - 9 equals 20

Answer:C.20

Step-by-step explanation:it is easy jut subtract 29-9=24 and the are many ways to subtract like visaual take 29 apples and take 9 away and count how many are left or count up from 9 to 29 on your fingers.

Answer:

-1.5

Step-by-step explanation:

3/4 of -8 is -6

1/4 of -6 is -1.5

if it is not supposed to be -8 the answer is 1.5

Answer: 20

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Factors of 40: 1,2,4,5,8,10,20,40

Factors of 80: 1,2,4,5,8,10,16,20,40,80

Factors of 100: 1,2,4,5,10,20,25,50,100

The greatest common factor is 20

Answer:18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

edg B)

Answer:

The Answer is B.

Step-by-step explanation:

Answer:

7 1/6

Step-by-step explanation:

43/6 = 7.167

6*7 = 42

7 1/6

Answer: 47 and 16

Step-by-step explanation:

- Make Two Equations

x + y = 63

x - y = 31

- Set one of the equations equal to one of the variables

x + y = 63

x = 31 + y

- Substitute the equation back into the other one

(31 + y) + y = 63

31 + 2y = 63

2y = 32

y = 16

- Substitute the answer back into the equation

x + y = 63

x + 16 = 63

x = 47

Answer:

47 and 16

Step-by-step explanation:

Start by writing this question as two equations, lets call the two numbers x and y.

"Two numbers total 63" we can write that as x+y=63

"...and have a difference of 31" we can write that as x-y=31 or y-x=31 or |x-y| = 31 or |y-x| = 31. There a lot of ways to write that.

So lets use y-x=31 as the second equation, you can ignore the other possible ways since it doesn't matter in this problem to use absolute value

Using subsitution solve for x using x+y = 63,  x = -y + 63

Plug that into the other equation, -y+63-y=31

−2y+63=31 (Simplify both sides of the equation)

−2y+63+−63=31+−63 (Add -63 to both sides)

−2y=−32

y=16 (Divide both sides by -2 to get Y by itself)

We solved for Y(of of the numbers), now for X (the other number)

Substitute 16 for y in x= − y + 63:

x=−y+63

x=−16+63

x=47

Answer:

10/9 or 1.1

Step-by-step explanation:

5/3 divide by 3/2

to divde a fraction, multipby by reciprocal

5/3 * 2/3

Cross Multiply

The answer is 10/9

Answer:

[tex]\frac{10}{9}[/tex] or 1.11

Step-by-step explanation:

[tex]\frac{5}{3}[/tex] × [tex]\frac{2}{3}[/tex]

[tex]\frac{10}{9}[/tex] or 1.11 [tex]Ans[/tex]

Answer: D is the answer I am also working on this

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

5 X -6 =-30

-30 +10=-20

Answer:

-20

Step-by-step explanation:

To find the answer just plug x into the equation.

It should look like 5(-6) + 10 = n

Now just simplify

5(-6) = -30 + 10 = -20

(a positive times a negative always equals a negative)

Answer:

Step-by-step explanation:

Scale  factor

Size of each garden bed on the drawing

Actual size

Area of one garden bed