Factor using sum and product


Factor Using Sum And Product

Answers

Answer 1

Answer:

Step-by-step explanation:

y=x^2+x-30

y=x^2-(6-5)x-30

y=x^2-6x+5x-30

y=x(x-6)-5(x-6)

y=(x-5)(x-6)

Answer 2

Answer:

(x+6)(x-5)

Step-by-step explanation:

The product is -30 and the sum is 1.

Factors of -30 are

-1  and 30

-2 and 15

-3 and 10

-5 and 6

-5 + 6 = 1


Related Questions

Give the vertex for the quadratic function: f (x) = (x – 3) (x + 7)​

Answers

Answer:

[tex]Vertex = (-2,-25)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = (x - 3)(x + 7)[/tex]

Required

The vertex

[tex]f(x) = (x - 3)(x + 7)[/tex]

Open bracket

[tex]f(x) = x^2 -3x+7x-21[/tex]

[tex]f(x) = x^2 +4x-21[/tex]

Express -21 as 4 - 25

[tex]f(x) = x^2 +4x+4-25[/tex]

Group as:

[tex]f(x) = (x^2 +4x+4)-25[/tex]

Factorize the expression in bracket

[tex]f(x) = (x+2)^2-25[/tex]

The vertex form is:

[tex]f(x) = a(x - h)^2 + k[/tex]

Where the vertex is:

[tex]Vertex = (h,k)[/tex]

[tex]Vertex = (-2,-25)[/tex]

Help plzzz and no links plz and thank you

Answers

Answer:

It's B, Points a and f. -5 and 5

Given vector u = (3, 1) and v = (2,-4), determine the value of v – 4u in
component form.

Answers

Answer:

(-10, -8)

Step-by-step explanation:

4u

Each component of vector u is multiplied by 4. So

u = (3, 1)

4u = (4*3, 4*1) = (12,4).

v – 4u

Subtraction of the components of vector v by the components of the vector 4u. So

v - 4u = (2, -4) - (12, 4) = (2-12, -4 - 4) = (-10, -8)

The value is (-10, -8)

telling time in intervals​

Answers

Answer:

A. 5:12   B. 12:51

Step-by-step explanation:

. Use the smaller hand as the hour hand and the bigger hand to track each minute.

Given the Graph, identify the slope​

Answers

Answer: The slope is -5/3 or -1.4

Algebra

[tex]s = \frac{y2 - y1}{x2 - x1} [/tex]

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

PLEASE HELP ME!!

Two sides of a right triangle are 8 and 12 in.

a. Find the missing side if these are the lengths of the legs.

b. Find the missing side if these are the lengths of a leg and hypotenuse.

Answers

A) 8^2 + 12^2=c^2
c= 4(13) or 14.42
B) 8^2 + b^2=12^2
b=4(5) or 8.94

What is the length of line segment CD?



Enter your answer, as a decimal rounded to the nearest tenth, in the box.

CD =
units
A graph with lines drawn between points A begin ordered pair 1, 3 end ordered pair and B begin ordered pair 4, 3 end ordered pair, points C begin ordered pair -2, 2 end ordered pair and D begin ordered pair 4, -4 end ordered pair, and points E begin ordered pair -7, 0 end ordered pair and F begin ordered pair -2, 4 end ordered pair

Answers

Answer:

Assume you need to find distance CD, between points C(-2, 2), D(4, -4)

Use distance formula:

[tex]CD = \sqrt{(4 + 2)^2+(-4-2)^2} = \sqrt{72} = 6\sqrt{2}[/tex] ≈ 8.5 units

Answer:

C(x1,y1)=(-2, 2), D(4, -4)

D(x2,y2)=(4, -4)

we have

the length of line segment CD

=[tex]\sqrt{(x2-x1)²+(y2-y1)²}\\ \sqrt{(4+2)²+(-4-2)²}=8.48 units[/tex]

Find a rational number between the two points shown.

Answers

Answer:

Is it any of the rational numbers?  There are an infinite number of rational numbers.  Rational numbers are any numbers that can be written as a fraction.  All the integers between those two points (-2, -1, 0, etc.) are all rational.  Any of the numbers between the points would be too. 1/2, 1/3, 2 1/3, etc.

Step-by-step explanation:

Mark Brainliest please

Answer:

The rational number between -7 & 3 is -2


A group of friends wants to go to the amusement park. They have $304.50 to spend
on parking and admission. Parking is $16.50, and tickets cost $32 per person,
including tax. How many people can go to the amusement park?

Answers

Answer:

9 people can go to the amusement park.

How do you solve this? Thanks.

Answers

Answer:

Simulateneous equation

Step-by-step explanation:

Have to slove the equation given then plot the graph

Answer:

Graph a line segment with endpoints (1,-8) and (-4,3).

Step-by-step explanation:

Just identity the endpoints of the line segment given, then swap the coordinates for each pair to graph it's inverse.

Original point -> Corresponding inverse point

(a,b) ->(b,a)

(-8,1) ->(1,-8)

(3,-4) ->(-4,3)

So graph the other inverse which is also a line segment using endpoints (1,-8) and (-4,3).

(The inverse graph is just a reflection of the original relation over y=x.)

SSS SAS ASA or SSA or HL and explain

Answers

Answer:

SSS

Step-by-step explanation:

∆ ABC after reflected over y-axis and then translated by 2 units down ===> ∆A"B"C"

so the size of sides doesnt change

Will give brainiest and extra points if the answer is correct

Answers

Answer:

The range in the average rate of change in temperature of the substance is from a low temperature of [tex]-22^{\circ}[/tex] to a high of [tex]16^{\circ}[/tex].

Step-by-step explanation:

In the sinusoidal function [tex]y=a\sin(b(x-c))+d[/tex], [tex]|a|[/tex] represents the amplitude and [tex]y=d[/tex] represents the equation of the midline.

By definition sinusoidal functions ebb and flow with respect to this midline. Therefore, the minimums must occur at [tex]y=d-|a|[/tex] and the maximums must occur at [tex]y=d+|a|[/tex].

Thus, the minimum, or low, occurs at [tex]y=-3-|-19|=-3-19=\boxed{-22}[/tex] and the maximum, or high, occurs at [tex]y=-3+|-19|=-3+19=\boxed{16}[/tex].

The slope of the line graphed below is -3.

true or false?

Answers

Answer:

False, the slope is POSITIVE 3.

Help me please I need help 2

Answers

Answer:

26.6 meters

Step-by-step explanation:

Tan(x) = [tex]\frac{opp}{adj}[/tex]

Tan(28)  = [tex]\frac{x}{50}[/tex]

x = 26.6m

HELP ASAP!! WILL GIVE BRAINLIEST!!!! FULL ANSWERS ONLY!!!!!!

Find the x and y intercepts of the equation. Express your answers as points

5x+7y=-140

X-Intercept =

Y-Intercept =

Answers

Step-by-step explanation:

the answer is in the image above

Juan plans to use strategies to find 12x380 shows a strategy he could use

Answers

Answer:

3 x 4 x 380

Step-by-step explanation:

The correct strategy that he could use would be

3 x 4 x 380

This is basically splitting up the 12 into two numbers whose product equals 12. This shrinks the numbers and makes it easier to multiply the 380. Since it is easier to multiply 380 by 4 as opposed to 12. This strategy will still give you the same result as 12x380 and both will give you a product of 4,560

2. Denise took out a $16 000.00 loan from the bank to help pay for university. The bank offered an
annual interest rate of 5.6% compounded quarterly over a 3-year term. The entire loan is repaid
at the end of the 3-year term. Determine the total amount that Denise had to pay back.

Answers

I need this too comment when someone answers

the sum of 3 times mand 4 times m

Answers

Answer:

7m

Step-by-step explanation:

Given ,

Sum of 3 times m = 3m

And 4 times m = 4m

Hence,

Sum is = 3m + 4m = 7m (Ans)

I don’t understand stand this can somebody please help me

Answers

Answer:

C

Step-by-step explanation:

The radius is 7, but in the standard form for a circle, the radius is squared which means that the answer is NOT A and B.

So now you have only two choices, C and D both of which have the radius shown as 49 which is 7 squared.

The center is at (5,-1)

that means that x will be written as (x - 5)

And y will be written as (y + 1)

Note: the signs of the center always change to the opposite of what they were.

The answer is (x - 5)^2 + (y  + 1)^2 = 49

who has guathmath here. this is the invitation code. https://s.tutorus.xyz/lp/invite?code=F47XR9​

Answers

Step-by-step explanation:

thank youjjdjdkdkdkdkkdididososiid

When ringing up a customer, a cashier needs 18 seconds to process payment as well as 1 second to scan each item being purchased. If it takes 20 seconds to ring up a customer, how many items are being purchased?​

Answers

The person is ringing up 1 order

A chessboard is a square that has 8 rows and 8 columns of square spaces. If the side of a square space is 3.25 inches long, what is the area in square inches of the chessboard?

Answers

Answer:

676 square inches

a = L²

It has been established in the question that the length and the width of the chessboard has 8 rows an 8 columns respectively

length = with

rows = columns

8 × 3.25 = 26inches

AREA = L²

A = 26²

A = 676 square inches

The area in square inches of the chessboard given the side length of a square space is 676 inches².

What is the area of the chessboard?

A square is a quadrilateral with four equal sides.

The first step is to determine the area of a square space.

Area = length²

3.25² = 10.56 in²

The second step is to multiply the area of the square space by the number of squares.

8x 8 x 10.56 = 676 inches².

To learn how to determine the area of a square, please check: https://brainly.com/question/9030544

____ Is the amount of money owed in addition to the original amount

APR
Interest
APY
Principal

Answers

Answer:

APR INTEREST

THANKS ME LATUR

Ahmir is 20 years older than Brynn. In 5 years Ahmir will be 3 times as old as Brynn. What are their current ages?

Ahmir is 20, Brynn is 5.


Ahmir is 60, Brynn is 40.


Ahmir is 25, Brynn is 5.


Ahmir is 5, Brynn is 25.

Answers

Ahmir is 25 and Brynn is 5
You add 5 to each so it becomes 30 and 10 so Ahmir is 3 times older than Brynn

Given the function y=−5x+4 , what is the range of the function if the domain is {−2, 0, 5} ?

Answers

the ranges are 14, 4, and -21

The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five number summary for prices based on a sample of major US airlines was: Min

Answers

Answer:

Between 100 and 125

Step-by-step explanation:

Given

[tex]Min =60[/tex]

[tex]Q_1 = 100[/tex]

[tex]Median = 110[/tex]

[tex]Q_3 = 125[/tex]

[tex]Max =150[/tex]

Required:

Between which values will the box of the box plot will stretch

All box plots stretches between the lower quartile and the upper quartile.

From the question, we have:

[tex]Q_1 = 100[/tex] ---- lower quartile

[tex]Q_3 = 125[/tex] ---- upper quartile

Hence, the box will stretch between 100 and 125

Tom saves $750 a year. Bill saves $60 a month. How much more does Tom save a year than Bill?

Answers

Answer:

$30

Step-by-step explanation:

T = 750

B = 60(12)

T - B = X

750 - 720 = 30

Answer:

Tom saves 30 more dollars

Step-by-step explanation:

There’s 12 months in a year so

60 x 12 = 720

Tom has 750 so take away 720 that bill makes a year = 30

a rectangle has a height of 5x and a width of x+2 express the area of the entire retangle

Answers

Answer:

6x+2

Step-by-step explanation:

Use the Law of Sines to solve for x. Round to the nearest tenth.
F
Х
860
E
39°
7.9
G

Answers

Answer:

6.4

Step-by-step explanation:

What transformation is shown below??

Answers

The correct answer is A. Translation

Answer:

translation

Step-by-step explanation:

a translation. a translation is where the figure is moved, but not rotated or reflected.

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