simplify the following quadratic expressions
1) 2x^2 -3x -9
2) 3x^2 +5x +2​

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

1) 2x^2 -3x -9

 2 * -9 =  -18. We need 2 numbers whose product is -18 and whose sum     is -3. They are -6 and + 3. So:

= 2x^2 - 6x + 3x - 9

= 2x(x - 3) + 3(x - 3)

= (2x + 3)(x - 3)

2) 3x^2 + 5x +2​

Now 3 * 2 = 6   We need to numbers whose product is + 6 and whose  sum is +5.  Theres are + 3 and + 2>

= 3x^2 + 3x + 2x + 2

= 3x(x + 1) + 2(x + 1)

= (3x + 2)(x + 1)

=


Related Questions

Round 716.51 to the nearest hundredth
A. 716
B. 717
C. 716.51
D. 716.515






Thank you to everyone thats helping me!​

Answers

Answer:

c

Step-by-step explanation:

the number(1) with the place value hundreth has nothing after it so it stays the same

Answer:

I believe the answer would be 717. Correct me if I'm wrong but that is what I believe the answer is.

Step-by-step explanation:

Since the answer is talking about hundredth, you would look at the decimal.

The decimal states that its .51, which means it could not be 716, since the decimal is less than 50, so your answer SHOULD be B). 717

if the mean of 4 6 9 11 10 and k is 8 what is its median​

Answers

This is the answer:
9 is the median

Mandy was painting a mural shape of a rectangle. The length of the mural was 12 feet and the width was 5 feet. what was the area of the mural?

Answers

Answer:

The area of the mural is 60 feet.

Step-by-step explanation:

The equation for area is L(Length) x W(Width). So, take the length of the mural (12 feet) & multiply it by the width (5). The answer you should get is 60 feet.

questions in the attached img. thanks in advance​

Answers

Answer:

[tex][tex]\: \blue{ \rule{10pt}{100000pt}}[/tex][tex]\: \pink{ \rule{10pt}{100000pt}}[/tex][tex]\: \green{ \rule{10pt}{100000pt}}[/tex][tex]\: \violet{ \rule{10pt}{100000pt}}[/tex]

\\ [tex]\: \blue{ \rule{10pt}{100000pt}}[/tex][tex]\: \pink{ \rule{10pt}{100000pt}}[/tex][tex]\: \green{ \rule{10pt}{100000pt}}[/tex][tex]\: \violet{ \rule{10pt}{100000pt}}[/tex]

[/tex]

how far away is {-4,-6} away from {5,-6} on a coordinate grid

Answers

Answer:

(-4, -6) and (5, -6) are 9 units away from each other on a coordinate grid.

Step-by-step explanation:

Use the distance formula:

[tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We are given the points (-4, -6) and (5, -6). Substitute these points into the formula:

[tex]d = \sqrt{(5-(-4))^2+(-6-(-6))^2}[/tex] [tex]d=\sqrt{(5+4)^2+(-6+6)^2}[/tex] [tex]d=\sqrt{(9)^2+(0)^2}[/tex] [tex]d=\sqrt{9^2}[/tex] [tex]d=9[/tex]

The distance between (-4, -6) and (5, -6) on a coordinate plane is 9 units.

pleaseeee helppp i’m running out of time

Answers

Answer:

Square Root of 162 ~ 12.727

Step-by-step explanation:

Simply do the Pythagorean Theorem!

a^2 + b^2 = c^2

This case we're solving for the long side which is the hypothenuse.

9^2+9^2= c^

81+81=c^

162=c^

Square root of 162

Which is 12.727

What is the value of

-8(17-12)
—————
-2(8-(-2)

-4
-2
2
4

Answers

Answer:

4

Step-by-step explanation:

smart

SOLAR ENERGY The power absorbed by a solar panel varies directly with its area. If an 8 square meter panel absorbs 8,160 watts of power, how much power does a 12 square meter solar panel absorb

Answers

Answer:

12,240 W

Step-by-step explanation:

Use a proportion.

8/8160 = 12/x

8x = 8160 × 12

x = 1020 × 12

x = 12,240

Answer: 12,240 W

Find the volume of the triangular prism.
4 ft
8 ft
37 ht

Answers

Answer:

4 ft

Step-by-step explanation:

So to calculate the volume of a triangular prism, the formula is 4ft

Step-by-step explanation:

volume of prism = area of triangle * length

                            = 1/2*4*8*37

                            = 592ft^3

The inverse of the logarithmic function f(x) = log0.5x is f−1(x) = 0.5x. what values of a, b, and c complete the table for the inverse function?

Answers

The value of a for the inverse function is 2, the value of b for the inverse function is 1, and the value of c for the inverse function is 0.25.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The inverse of the logarithmic function [tex]f(x) = \log_{0.5} x[/tex] is [tex]f^{-1}(x) = 0.5^x[/tex]

For x = −1 in the inverse function, then the value of a will be

[tex]f^{-1}(x) = 0.5^{-1}\\\\f^{-1}(x) = 2[/tex]

The value of a is 2.

For x = 0 in the inverse function, then the value of b will be

[tex]f^{-1}(x) = 0.5^{0}\\\\f^{-1}(x) =1[/tex]

The value of b is 1.

For x = 2 in the inverse function, then the value of c will be

[tex]f^{-1}(x) = 0.5^{2}\\\\f^{-1}(x) = 0.25[/tex]

The value of c is 2.

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

a.2

b.1

c.0.25

Second part: Graph B (2nd) one

Step-by-step explanation:

PLS HELP Solve for x

Enter your answer in the box.​

Answers

Answer:

6

Step-by-step explanation:

If two secants are drawn from a point outside a circle, then product of one secant segment and its external part equal the product of the other secant segment and its external part.

(Secant-Secant Power Theorem)

(JG)(JH) = (JM)(JK)

(16) X (7) = (8+X)(8)

112=64+8X

8X=48

X=6

A triangular garden has it sides 45m,40m and 50m . Then, find the cost of fencing it's boundary at the rate of Rs.60 per meter.​

Answers

we should find perimeter.

45+40+50=135m.

then, we should multiply 135 and rate of per meter.

135×60=8100Rs.

50 POINTS FOR QUESTION 24 thank u!!

Answers

Answer:

Each instalment = £27.45

Step-by-step explanation:

Given:

Price of work trolley = £59.90Deposit = £5

Remaining balance to be paid = Price of work trolley - deposit

                                                   = £59.90 - £5

                                                   = £54.90

If the remaining balance is to be paid in 2 instalments:

Cost of each instalment = remaining balance ÷ 2

                                        = £54.90 ÷ 2

                                        = £27.45

Please help! This is past due, and I’m a little confused.

For problems 12-15, name each of the polygons represented by the traffic signs. Write yes or no whether the polygon appears to be regular.

Answers

Answer:

12. Octagon, Regular

13. Triangle, Regular

14. Rectangle, Irregular

15. Pentagon, Irregular

Step-by-step explanation:

Irregular vs. regular boils down to whether the sides and angles of the figure are all equal. In figures 14 and 15, the sides are clearly not all the same length, so they are irregular.

pls solve the following math from trigonometry ​

Answers

Step-by-step explanation:

[tex] \tan(2x) = 1.5[/tex]

Take the arc tangent,

[tex] \tan {}^{ - 1} ( \tan(2x) ) = \tan {}^{ - 1} (1.5) [/tex]

[tex]2x = 56.3[/tex]

[tex]x = 28.15[/tex]

b.

[tex](3 \cos(x) + 1)(2 \cos(x) + 3) = - 2[/tex]

[tex]6 \cos {}^{2} (x) + 11 \cos(x) + 3 = - 2[/tex]

[tex]6 \cos {}^{2} (x) + 11 \cos(x) + 5 = 0[/tex]

[tex]6 \cos {}^{2} (x) + 6 \cos(x) + 5 \cos(x) + 5 = 0[/tex]

[tex]6 \cos(x) ( \cos(x) + 1) + 5( \cos(x) + 1) = 0[/tex]

[tex](6 \cos(x) + 5)( \cos(x) + 1) = 0[/tex]

Set each factor equal to zero.

[tex]6 \cos(x) + 5 = 0[/tex]

[tex]6 \cos(x) = - 5[/tex]

[tex] \cos(x) = - \frac{5}{6} [/tex]

[tex]x = \cos {}^{ - 1} ( \frac{5}{6} ) [/tex]

[tex]x = 146.4[/tex]

For the second factor,

[tex] \cos(x) + 1 = 0[/tex]

[tex] \cos(x) = - 1[/tex]

[tex]x = 180[/tex]

So the answer for the second one is

146.4 and 180.

Name two sides that appear to be intersecting, but not perpendicular

Answers

Answer:

Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.

Step-by-step explanation:

hope it helps, God bless!

Two distinct lines intersecting each
other at 90° or a right angle are called
perpendicular lines. Here, AB is
perpendicular to XY because AB and
XY intersect each other at 90° The
two lines are parallel and do not
intersect each other. They can never
be perpendicular to each other.

Which graph shows the solution to 8y < 4x + 16? A. B. C. D.

Answers

Answer:

The answer is D.

Step-by-step explanation:

Find the boundary line, and then just shade the area.

y < 1/2x + 2

Answer:

d

Step-by-step explanation:

2023

dd2+2
edeeeeeeeeedvvvvvvvvvvvvvvvw[[kqpwgjwegkJ=J

Answers

Answer: umm what did you say?

Step-by-step explanation:

Yo imma need this quick.

Answers

Answer:2 11/12

Step-by-step explanation:

7/12+28/12= 35/12= 2 11/12

28/12=7/3 btw

2 4/12+7/12=2 11/12

Answer:

Ok the answer is going to be 35/12

try that I hope I helped you

Step-by-step explanation:

A new truck can travel 350 miles on 25 gallons of gas.
a
How far can it travel on 60 gallons of gas?
b.
What is the cars gas mileage (miles per gallon)?

Answers

Answer:

A. 840 miles

B. 14 miles per gallon

Step-by-step explanation:

A. 14 mi. per gal. x 60 = 840 miles

B. 350 mi./25 gal. = 14 miles per gallon

hope this helps :)

1. The truck can travel 840 miles on 60 gallons of gas.

2. The truck's gas mileage is 14 miles per gallon.

What is Proportion?

Proportion refers to the relationship or comparison between two quantities or parts of a whole. It is often expressed as a ratio or a fraction. In mathematics, a proportion states that two ratios or fractions are equal.

a)  We have, 25 gallons of gas corresponds to 350 miles.

Let's set up the proportion:

25/350 = 60/x

25x = 350 (60)

25x = 21,000

x = 21,000 / 25

x = 840

Therefore, the truck can travel 840 miles on 60 gallons of gas.

b) The truck can travel 350 miles on 25 gallons of gas.

Gas mileage = Distance / Gas consumed

Gas mileage = 350 miles / 25 gallons

Gas mileage = 14 miles per gallon

Therefore, the truck's gas mileage is 14 miles per gallon.

Learn more about Proportion here:

https://brainly.com/question/26974513

#SPJ2

Pierre has more money than alex.
if Pierre gave Alex £20 they would have the same amount.
if Alex gave Pierre £22, the Pierre would have twice as much as Alex.
How much does each one actually have?

Answers

Answer:

p = 2a-22

a= p-20

these will help you find the actual value

Step-by-step explanation:

this is not for the actual value

pierre = p

alex = a

p = a+20

p-20 = a

p+22 = 2a

p = 2a-22

i need help im stuck lol

Answers

Answer: Angle A = 120 degrees.

Step-by-step explanation:

Answer:

50 degrees sorry if wrong

Step-by-step explanation:

The radius of a circle is 5.9 centimeters. Enter the area of the circle, in square centimeters. Round your answer to the nearest hundredth.​

Answers

109.36 to nearest hundredth

A= pi x r x r

= pi x 5.9 x 5.9

= 109.3588....

Hope this helps!

Can yall please help me on this one question.. im not good at this part..

Answers

Answer: part A I think 100 cause its 100 place value umm for part B is I can say 20

i really don't know but I'm not good at it either LOL

4.289 rounded to the nearest tenth

Answers

4.3 is your answer :)

What happens when a base dissolves?

Answers

Answer:

When dissolved, bases release hydroxide ions, OH-(aq) into solution.

Step-by-step explanation:

Water is the product of an acid and base reacting. Chemists say that the acid and base cancel or neutralise each other, hence the reaction is known as "neutralisation"

Answer: It increases the concentration of OH- in solution.

Step-by-step explanation:

1. Find the surface area of the square pyramid. 13 m 14 m

Answers

Answer: [tex]560m^2[/tex]

Step-by-step explanation:

First begin by finding the surface area of the base, which is simply length * width. In this case,

[tex]14*14 = 196 m^2[/tex]

Next, find the surface area of one of the sides of the pyramid. This formula for this is:

[tex]\frac{1}{2}*base*height[/tex]

Since we know the height to be 13 meters and the base to be 14 meters, we can solve for one side.

[tex]\frac{1}{2}*14*13 = 91 m^2[/tex]

We multiply this by 4 to give us all 4 sides of the pyramid:

[tex]91m^2 * 4 = 364m^2[/tex]

Adding together the surface area of the sides and the base gives us:

[tex]196m^2 + 364m^2=560m^2[/tex]

An airplane flies with a constant speed
of 820 miles per hour. How far can it
travel in 1 hour?

Answers

given:

820 miles

to find:

how far the airplane can travel in an hour.

solution:

x= v × t

x= 820 × 1

x= 820 miles

so, the airplane can travel 820 miles per hour.



you have a square area rug that needs to be cleaned. if the cleaning company charges $0.25 per square foot for cleaning, how much will it cost you to get your 20 ft by 20 ft area rug cleaned?

Answers

Answer:

It should be $100 to get it cleaned.

I believe the answer is $100

Plsss answer as fast as possible! IMPORTANT

Answers

Step-by-step explanation:

Attached picture might help you out

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