Simple Personal fianance

Alex back into a light pole and damaged his bumper. he decided to file a claim for the body damage. what deductible would he have to pay before he receives a payment from the insurance company?

A. he would not have to pay any deductible because he was not at fault

B. Premium

C. Collision

D. Comprehensive


I was between B and C

Answers

Answer 1

Answer:

The answer is : Collision

Step-by-step explanation:

Alex would have to pay collision deductible before he receives a payment from the insurance company.

A deductible is any amount that you have to pay out of pocket when you make a claim.

Collision deductible comes to effect when your vehicle is damaged in an accident. This pays the cost of repairing the vehicle minus the amount of your deductible.


Related Questions

Which expression can be used to determine the length of segment ZY? See image.

Answers

Answer:

[tex]\sqrt{8^{2} + 3^{2} }[/tex]

Step-by-step explanation:

We see that this is a rectangle triangle, and that the ZY side is the hypotenuse.

It's length is then square root of the sum of the squares of the other sides:

[tex]hyp = \sqrt{a^{2} + b^{2} }[/tex]

So, in this case:

[tex]ZY = \sqrt{8^{2} + 3^{2} }[/tex]

The 8 and 3 numbers are easy to get from the graphic... and the order doesn't matter (8² + 3² = 3² + 8²).

That's an easy rule to remember.

I hope it helps.

Answer:

[tex]|ZY|=\sqrt{8^2+3^2}[/tex]

Step-by-step explanation:

ZY is the hypotenuse of triangle XZY.

The two shorter legs are;

YX=3 units

and

XZ=8 units.

According to the Pythagoras Theorem;

[tex]|ZY|^2=|XZ|^2+|YX|^2[/tex]

This implies that;

[tex]|ZY|^2=8^2+3^2[/tex]

We take the positive square root to obtain;

[tex]|ZY|=\sqrt{8^2+3^2}[/tex]

The second choice is correct

help please thanks a lot

Answers

Answer:

7                x

------ = -----------

20         400

Step-by-step explanation:

We want a ratio of bass over the total in the pond

Adding the samples

(8+6)           14                 7

--------    = ------------ = ---------

(20+20)        40             20

Set this equal to a ratio of 400 total fish

Bass on top, total fish on bottom

7                x

------ = -----------

20         400

What is the value of x in this equation?
-4x+8 = 42
Use the bubbles in the answer section to mark your answer.

Answers

Answer:

x = -17/2 or -8.5

Step-by-step explanation:

-4x+8 = 42

Subtract 8 from each side

-4x+8-8 = 42-8

-4x = 34

Divide each side by -4

-4x/-4 = 34/-3

x = -17/2

x = -8.5

(2X-3)(3X+4)
I NEED HELP ON THIS ANSWER PLEASEE

Answers

Answer:

6X^2 -X -12

Step-by-step explanation:

(2X-3)(3X+4)

FOIL

first 2X*3X = 6X^2

outer 2X *4 = 8X

inner -3 *3X = -9x

last = -3 *4 =-12

Add them together = 6X^2 +8X -9X -12

                                 = 6X^2 -X -12

Answer:

6x^2 - x - 12

Step-by-step explanation:

2x(3x + 4) = 6x^2 + 8x

-3(3x + 4) = -9x - 12

6x^2 + 8x - 9x - 12

6x^2 - x - 12

A photo booth charges a $500 fee for two hours at a party, plus $50 per additional hour. Cindy doesn't want to spend more than $700 on the photo booth rental. What is the maximum number of additional hours (beyond the first two) that Cindy can rent the photo booth for her party?

Answers

Answer:

YOU CAN HAVE 4 MORE HOURS WITH THE PHOTO BOOTH

Step-by-step explanation:

500 IS FOR 2 HOURS SHE DONT WANT TO WASTE MORE THAN 700 SO ITS 50 DOLLARS FOR ANOTHER HOUR

500 + 50 IS 550 THATS ONE HOUR ADDED 550+50 = 600 THATS 2 HOURS 600 + 50=650 THATS 3 HOURS 650+50= 700 SHE GOT IT FOR 4 HOURS IN TOTAL SHE HAD IT FOR 6 HOURS COUNTING THE 2 HOURS FOR IT AT THE PARTY . PERIODDT.....

Cindy can rent the photo booth for a maximum of 4 additional hours beyond the first two hours included in the base fee, given her budget of $700.

The student is asking how many additional hours Cindy can rent a photo booth for her party, given her budget constraints. Initially, there is a $500 fee for two hours, and each additional hour costs $50. Cindy has a budget of $700 in total, which means she can spend $200 on additional hours beyond the first two hours included in the base fee. To calculate the maximum number of additional hours, we divide the additional budget ($200) by the cost per additional hour ($50).

So, the calculation is
$200 / $50 = 4 additional hours.

Cindy can thus rent the photo booth for a maximum of 4 additional hours without exceeding her budget of $700.

Anita purchased a golf cart for her soccer field maintenance business. The cart cost $8,999 and has a useful life of 5 years. Its salvage value is $1,100.

Anita can write off (Q1)___ on the cart’s value. Based on the cart’s cost and useful life, she can write off an amount of $(Q2)___.

Q1: A. depreciation
B. revenue

Q2: A. 1,579,80
B. 1,799.90

Answers

Answer:

Q1:A. depreciation

Q2: B. 1,799.90

Step-by-step explanation:

In order to solve this, you have to remember that the depreciation is the amount of money that is lost onthe cost or price of certain products with the pass of the time, and after that you just divide the cost by the number of years of useful life that it will have for the company, in this example it is $8,999 between 5 years and that is $1799 per year of useful life.

Answer:

depreciation & 1,579.80

Step-by-step explanation:

John got 20% discount at a sale .He got a new shirt for $12 .What is the original price of the shirt ?

Answers

The original price of the shirt must be $15 if a 20% discount resulted in the final price becoming $12

The original price of the shirt is $15.

What is Discount?

Discount refers to the condition of the price of a bond that is lower than the face value. The discount equals the difference between the price paid for and it’s par value.

Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people are provided with discounts on various products. The discount rate is given in percentage.

Discount = Original price - Buying Price

Given,

Buying price of the shirt john bought = $12

Discount on shirt John bought = 20% of the original price

Let, the original price be x

then,

discount = 20% of x = 20x/100

Discount = Original price - Buying Price

20x/100 = x - $12

x = $12 + 20x/100

x = ($1200 + 20x)/100

100x = $1200 + 20x

80x =$1200

x = $1200/80

x = $15

Hence, the shirt cost $15 originally.

Learn more about discount here:

https://brainly.com/question/3541148

#SPJ5

At the beginning of year 1, Bode invests $250 at an annual simple interest rate of 3%. He makes no deposits to or withdrawals from the account.Which explicit formula can be used to find the account’s balance at the beginning of year 14? What is the balance?



A.A(n) = (250)(n – 1)(0.03); $97.50 B.A(n) = 250 + (n)(0.03 • 250); $355.00 C.A(n) = 250 + (n – 1)(0.03); $250.39 D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50

Answers

Answer:

D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]A=P(1+rt)[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=(14-1)=13\ years\\ P=\$250\\r=0.03[/tex]

substitute in the formula above

[tex]A=\$250(1+0.03*13)[/tex]

[tex]A=\$250(1.39)=\$347.50[/tex]

for each ordered pair, determine whether it is a solution to the system of equations.
7x - 4y = 8
y = -9x - 2

(0,-2) is it a solution ?
(5,3) is it a solution ?
(-2,16) is it a solution ?
(-4,-9) is it a solution ?

Answers

Answer:

If the question is asking for a solution for both, then only point (0,2)

Point (0,2) is a solution to both equations

Point (5,3) is a solution to neither (meaning not any of the equations)

Point (-2, 16) is not a solution to the first equation, but is to the second

Point (-4, -9) is a solution to the first, but not to the second.

Step-by-step explanation:

Using the Property of substitution. 7x-4y=8

(0,-2)

7(0)-4(-2)=8

7(0)=0

-4(-2)=8

0+8=8

This solution is true.

(5,3)

7(5)-4(3)=8

7(5)=35

-4(3)=-12

35-12=23 (not 8)

This solution is not true.

(-2,16)

7(-2)-4(16)=8

-14-64=-78 (not 8)

This solution is not true.

(-4,-9)

7(-4)-4(-9)=8

-28+36=8

This solution is true

__________________________________________________________

Y=-9x-2

(0,-2)

-2=-9(0)-2

-9(0)=0-2=-2

-2=-2

This solution is true

(5,3)

3=-9(5)-2

-45-2=-47

3=-47

This solution is not true

(-2,16)

16=-9(-2)-2

16=18-2

16=16

This solution is true.

(-4,-9)

-9=-9(-4)-2

-9=36-2

-9=34

This solution is not true.

Final answer:

By substituting the x and y values from each ordered pair into the two given equations, we can determine whether the ordered pairs (0,-2), (5,3), (-2,16), and (-4,-9) are solutions. An ordered pair is a solution if it satisfies both equations of the system.

Explanation:

To determine whether each ordered pair is a solution to the system of equations:

7x - 4y = 8

y = -9x - 2

We will substitute the x and y values from each ordered pair into both equations.

For the ordered pair (0,-2), substitute x = 0 and y = -2:

7(0) - 4(-2) = 8 satisfies the first equation, and -2 = -9(0) - 2 satisfies the second equation, so (0,-2) is a solution.

Repeating this process for the other ordered pairs, (5,3), (-2,16), and (-4,-9), will reveal whether they satisfy both equations.

If both equations are satisfied by a particular ordered pair, then that ordered pair is a solution to the system of equations.

What is the perimeter of a regular 9-sided polygon with side lengths of 5 feet? 9 feet 14 feet 45 feet 18 feet

Answers

45 feet

9 sides * 5 for each side =45

Answer:

C. 45. feet

Step-by-step explanation:

Step 1.) 9 * 5 = 45

Final Answer:

C.) 45. feet

Extra:

Please give brainlest!

Have a good day,

johannelbekian

Someone please help??

Answers

Answer:

Im not 100% sure but i can tell you it is (D)

Step-by-step explanation:

How is the product of 3 and 2 shown on a number line?

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Did the Quiz on Edge

Find the level of a two-sided confidence interval for t = 2.776 with sample size 5. express the answer as a percent.

Answers

Using a t-distribution calculator, it is found that the confidence level is of 95%.

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

In this problem, we have that t = 2.776, df = 5 - 1 = 4 for a two-tailed interval, hence looking at the t-table it is found that the confidence level is of 95%.

More can be learned about the t-distribution at https://brainly.com/question/16313918

What are the r- values of the following data to three decimal places?

A. 0.811
B. 0.901
C. -0.811
D. -0.901

Answers

Answer:

Option D. -0.901

Step-by-step explanation:

we know that

The correlation coefficient r measures the strength and direction of a linear relationship between two variables. The value of r is always between +1 and –1

Using a Excel tool (Correl function)

The value of coefficient r is -0.9006876

Round to three decimal places

r=-0.901

see the table attached

What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.

Answers

ANSWER

[tex]x = \: x = \pm \: \sqrt{2} i \: or \: x = \pm \: i[/tex]

EXPLANATION

[tex] {x}^{4} + 3 {x}^{2} + 2 = 0[/tex]

[tex]{ ({x}^{2}) }^{2} + 3( {x}^{2}) + 2 = 0[/tex]

Let

[tex]u = {x}^{2} [/tex]

Then the equation becomes:

[tex] {u}^{2} + 3u + 2 = 0[/tex]

[tex] {u}^{2} + 3u + 2 = 0[/tex]

[tex] {u}^{2} + 2u +u + 2 = 0[/tex]

Factor:

[tex]{u}(u + 2)+ 1(u + 2) = 0[/tex]

[tex](u + 1)(u + 2) = 0[/tex]

[tex]u = - 1[/tex]

or

[tex]u = - 2[/tex]

This implies that

[tex] {x}^{2} = - 1 \implies \: x = \pm \: i[/tex]

or

[tex] {x}^{2} = - 2 \implies \: x = \pm \: \sqrt{2} i[/tex]

a right triangle has one side that measures 4 in. the angle opposite that side measures 80° what is the length og the hypotenuse if the triangle? round to the nearest tenth.

Answers

Answer:

The length of the hypotenuse is 4.1 in

Step-by-step explanation:

we know that

In the right triangle of the problem

The function sine of angle of 80 degrees is equal to divide the opposite side to the angle of 80 degrees (4 in) by the hypotenuse

Let

x ----> the hypotenuse

so

sin(80°)=4/x

isolate the variable x

x=4/sin(80°)

x=4.1 in

Answer:

B: 4.1 in.

Step-by-Step Explanation:

on edge! hope this helps!!~ (=´∇`=)

If the height of a cylinder is tripled, but the area of the base stays the same, what happens to the volume?

Answers

Answer:

The volume would double.

Here is an example:

The formula for the volume of a cylinder is:

V = (area of the base) x height

Now, let's plug in numbers to see what happens to the volume:

Let's say that cylinder 1 has a base area of 6 and a height of 10. Cylinder 2 would have a base area of 6 and a height of 20.

Let's plug in the values:

V1 = 6x10 = 60

V2 = 6x20 = 120

the volume doubles.

hope this helps :)

Answer:

The volume triples...

Step-by-step explanation:

Help me out .... Solve for x and y.

Answers

ANSWER

x=24 , y=8√3

EXPLANATION

The given triangle is a right triangle

To find x, we use the cosine ratio, given by:

[tex] \cos(30 \degree) = \frac{adjacent}{hypotenuse} [/tex]

[tex]\cos(30 \degree) = \frac{x}{16 \sqrt{3} } [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{x}{16 \sqrt{3} } [/tex]

Solve for x,

[tex]x = \frac{ \sqrt{3} }{2} \times 16 \sqrt{3} [/tex]

[tex]x = 8 \times 3 = 24[/tex]

To find the value of x, we use the sine ratio:

[tex] \sin(30 \degree) = \frac{opposite}{hypotenuse} [/tex]

[tex]\sin(30 \degree) = \frac{y}{16 \sqrt{3} } [/tex]

[tex] \frac{1}{2} = \frac{y}{16 \sqrt{3} } [/tex]

Solve for y to get,

[tex]y = \frac{1}{2} \times 16 \sqrt{3} [/tex]

[tex]y = 8 \sqrt{3} [/tex]

The net of a three-dimensional figure is made using 1 rectangle and a number of triangles. What is the three-dimensional figure? a rectangular prism a rectangular pyramid a triangular prism a triangular pyramid

Answers

Answer:

See below.

Step-by-step explanation:

That would be a rectangular pyramid. The net would consist of a rectangle and 4 triangles

Answer:

The  three-dimensional figure is:

                      Rectangular Pyramid.

Step-by-step explanation:

Net of a three dimensional figure--

A net of a three dimensional figure is the pattern which is made with the help of all the faces of a solid.

The net is used to identify the three dimensional solid it will form.

Here, the net is 1  rectangle and a number of triangles.

a)

rectangular prism

The net of this solid are made by using six rectangles.

Hence, option (a) is incorrect.

b)

Rectangular Pyramid--

It is a three dimensional figure which is formed by taking a rectangle as a base and  4 triangles as it's other faces.

Hence, the net of this solid is made using 1 rectangle and a number of triangles.

c)

Triangular prism--

It has three faces as parallelogram and 2 as triangles.

Hence, option: c is incorrect.

d)

Triangular Pyramid--

A triangular pyramid also known as a tetrahedron is a three dimensional figure which is composed of four triangles.

Hence, option: d is incorrect.

If KLMN is a square, then ___________________.



A. it must be a rhombus



B. it might be a rhombus



C. it cannot be a rhombus

Answers

-Hello There-

A square is always a rhombus because it satisfies all the properties of rhombus but every rhombus cannot a square.

Therefore, If KLMN is a square, then it must be a rhombus.

Have A Fantastic Day

Be Safe,

TheBlueFox

Answer:

It must be a rhombus

Step-by-step explanation:

A bag has red, green, and blue marbles. The probability of selecting a red marble is 1/3 and the probability of selecting a green marble is 2/5, what is the probablility of selecting a blue marble

Answers

Answer:

4/15

Step-by-step explanation:

There are red, green and blue marbles in the bag.  The total of all the probabilities of selecting red, green and blue marbles is 1.00, or just 1.

So, to find the probability of selecting a blue marble, we add together 1/3 and 2/5 and subtract the total from 1:

1 - (1/3 + 2/5)

or:

1 - (5/15 + 6/15)

or:

1 - 11/15, or 4/15 (answer)

Final answer:

The probability of selecting a blue marble from the bag, given that reds have a probability of 1/3 and greens 2/5, is 4/15.

Explanation:

To find the probability of selecting a blue marble, you need to subtract the probability of selecting either a red or a green marble from 1, since the total probability must equal 1.

You are given that the probability of selecting a red marble is 1/3, and the probability of selecting a green marble is 2/5. To find the probability of selecting a blue marble, you can use the formula:

Probability of blue marble = 1 - (Probability of red marble + Probability of green marble).

Substituting the given probabilities, we get:

Probability of blue marble = 1 - (1/3 + 2/5)

Firstly, find a common denominator for the fractions, which is 15.

Probability of blue marble = 1 - (5/15 + 6/15)

Probability of blue marble = 1 - 11/15

Probability of blue marble = 15/15 - 11/15

Probability of blue marble = 4/15. Hence, the probability of selecting a blue marble is 4/15.

Solve the system of equations using the addition method 2a+3b=-1 ; 3a+5b=-2

Answers

Answer:

Then, a=-1 and b=-1

Step-by-step explanation:

We need to solve the following system of equations using the adition method:

2a+3b=-1       (i)

3a+5b=-2      (ii)

First, we multiply the equation (i) by -3 and the equation (ii) by 2, so we get:

-6a-9b=3

6a+10b=-4

Adding the two equations we have:

-6a-9b=3

6a+10b=-4

--------------------------

 0  + b = -1

Then b=-1. Now, let's substitute the value of b into equation (i):

2a+3b=-1

2a + 3(-1) = -1

2a -3 = -1

2a = 2

a = 1

Then, a=-1 and b=-1

Answer:

a = 1 and b= -1

Step-by-step explanation:

It is given two equations,

2a + 3b = -1  and

3a + 5b = -2  

To find the solution of given equations

Let, 2a + 3b = -1   ----(1)

3a + 5b = -2   ------(2)

(1) * -3 ⇒

-6a - 9b = 3    ----(3)

(2) * 2 ⇒

6a + 10b = -4   -----(4)

(3) + (4 )⇒

-6a - 9b = 3    ----(3)

6a + 10b = -4   -----(4)

  0 + b  = -1

(1) ⇒ 2a + 3b = -1  

2a + (3 * -1) = -1

2a = -1 + 3 = 2

a = 2/2 =1

Therefore, a = 1 and b = -1

Lorena is driving a truck that is painting the lines on a new road. The lines she paints are 0.152 meters wide, and she will paint a total length of 5.45 × 105 meters of lines. The shape created by the lines will be a rectangle, and the area will be the product of the length and width.
Approximately what area of the road will Lorena be painting?

5.602 × 10 (5) m2
8.284 × 10 (4) m2
8.698 × 10 (1) m2
8.284 × 10 (5) m2
5.602 × 10 (4) m2

Answers

Answer:

  8.284 × 10^4 m^2

Step-by-step explanation:

The area is the product of length and width:

  (5.45·10^5 m)·(0.152 m) = 0.8284·10^5 m^2 = 8.284·10^4 m^2

10 points! ASAP ALGEBRA II

Let f(x) = x^2-3x. For what values of x is f(f(x)) = f(x)? Enter all the solutions, separated by commas.

Answers

Answer:

-1, 0, 3, 4.

Step-by-step explanation:

f(x) = x^2 - 3x

f(f(x)) = (x^2 - 3x)^2 - 3(x^2 - 3x)    (Replacing the x in f(x) by x^2 - 3x).

when f(f(x) = f(x):

(x^2 - 3x)^2 - 3(x^2 - 3x)  = x^2 - 3x

(x^2 - 3x)^2 - 4(x^2 - 3x) = 0

Let y = x^2 - 3x, then

y^2 - 4y = 0

y(y - 4) = 0

y = 0, 4

when x^2 - 3x = 0, x = 0 , 3.

when x^2 - 3x = 4

x^2 - 3x - 4 = 0

(x + 1)(x - 4) = 0

x = -1, 4.

A and b are two similar 2D shapes. The area of shape awhich is 12cm is 200cm squared. Calculate the area of shape b which is 15cm

Answers

Answer: Area of shape which is 15 cm is 312.5 square cm.

Step-by-step explanation:

Since we have given that

Area of shape of 12 cm = 200 sq. cm

We need to find the area of shape of 15 cm.

As we know the "Area similarity theorem" which states that ratio of areas of two similar shapes is equal to the square of ratio of corresponding sides.

So, it becomes,

[tex]\dfrac{12^2}{15^2}=\dfrac{200}{x}\\\\\dfrac{144}{225}=\dfrac{200}{x}\\\\144x=200\times 225\\\\144x=45000\\\\x=\dfrac{45000}{144}\\\\x=312.5\ cm^2[/tex]

So, Area of shape which is 15 cm is 312.5 square cm.

The area of shape B which is of 15 [tex]\text{cm}[/tex], is 312.5 [tex]\text{cm}^2[/tex].

Given information:

The two shapes A and B are given

The dimensions of shape A is 12 [tex]\text{cm}[/tex]

The area of the shape A is 200 [tex]\text{cm}^2[/tex]

Now, we need to calculate the area of the shape of 15 [tex]\text{cm}[/tex]

As we know that area will be square of the given values in the question.

So, according to the question:

[tex]\frac{A^2}{B^2} =\frac{200}{x}[/tex]

[tex]\frac{12^2}{15^2} =\frac{200}{x}\\\\\frac{144}{225}=\frac{200}{x} \\\\x=(200\times 225)/144\\\\x=312.5 \text{cm}^2[/tex]

Hence, the area of shape B which is of 15 cm, is 312.5 [tex]\text{cm}^2[/tex].

For more information visit:

https://brainly.com/question/11505374?referrer=searchResults

x1 + 2x2 − x3 = −4 x1 + 2x2 + x3 = 2 −x1 − x2 + 2x3 = 6

Answers

Answer:

what are your choices

Step-by-step explanation:

Answer:

1

-1

3

Step-by-step explanation:

on edg

A geometric sequence {an} is defined by the function

f(1) = a1 = 6 and f(n) = an = (1.2)*f(n - 1) for n ≥ 2.

Find f(38).
A)273.6
B)326.26
C)5103.3735
D)6124.0482

Answers

ANSWER

C)5103.3735

EXPLANATION

The recursive definition of the given sequence is;

[tex]f(1) = a_1 = 6[/tex]

and

[tex]f(n) = a_n = (1.2) \times f(n - 1)[/tex]

The explicit definition is

[tex]f(n) = a_n =6 (1.2)^{n - 1} [/tex]

We substitute n=38 to obtain:

[tex]f(38) = a_ {38}= 6(1.2)^{37} [/tex]

[tex]f(38) = 5103.3735[/tex]

The correct choice is C.

Pls pls pls help me on this math! Will mark brainliest

Answers

Answer:

The volume of the prism is [tex]16.65\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

[tex]V=BH[/tex]

where

B is the area of the triangular base

H is the height of the prism

Remember that

In a right triangle 45°-45°-90°

The measures of the legs are equal

The area B is equal to

[tex]B=\frac{1}{2}(3)(3)=4.5\ in^{2}[/tex]

[tex]H=3.7\ in[/tex]

substitute in the formula

[tex]V=(4.5)(3.7)=16.65\ in^{3}[/tex]

Answer:

16.65

Step-by-step explanation:

Determine the factors of 5x2 + 6x − 8. (5x − 1)(x + 8) (5x − 8)(x + 1) (5x − 4)(x + 2) (5x − 2)(x + 4)

Answers

Answer:

  (5x − 4)(x + 2)

Step-by-step explanation:

For the purpose, it is sufficient to make sure the middle terms match.

The middle term in the product of each of the answer choices is ...

  -1+40 ≠ 6

  -8+5 ≠ 6

  -4+10 = 6 . . . . . the third selection is the one you want

  -2+20 ≠ 6

Answer:  The correct option is (C) (5x − 4)(x + 2).

Step-by-step explanation:  We are given to determine the factors of the following quadratic expression :

[tex]E=5x^2+6x-8.[/tex]

To factorize the given expression, we need to find two integers whose sum is 6 and whose product is -40.

The factorization is as follows :

[tex]E\\\\=5x^2+6x-8\\\\=5x^2+10x-4x-8\\\\=5x(x+2)-4(x+2)\\\\=(5x-4)(x+2).[/tex]

Thus, the factors of the given expression are (5x - 4) and (x + 2). That is,

[tex]5x^2+6x-8=(5x-4)(x+2).[/tex]

Option (C) is CORRECT.

A new firehouse is being built equidistant from three other fire stations. Positioned on a grid, the current fire stations would be located at (3, 7), (−1, −1), and (−4, 8). What are the coordinates of the location where the new firehouse should be built?

Answers

Answer:

answer is C

Step-by-step explanation:

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