giving 100 points and giving brainlest
For which value of b can the expression x2 + bx + 18 be factored?
A.
7
B.
3
C.
17
D.
-19

Answers

Answer 1

Answer:

7

Step-by-step explanation: (dont trust me)

x^2 + (7)x +18

x(x + 4) + 3(x + 6)

Answer 2

Answer:

See the attachment for what goes on your X diagram.

Rewrite: x² -7x +4x -28

Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)

Step-by-step explanation:

The given quadratic is ...

... x² -3x -28 . . . . . a=1, b=-3, c=-28

a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.

The value at the bottom of the X diagram is the coefficient b = -3.

The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...

(-7)·(4) = -28

(-7)+(4) = -3

b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...

... x² -3x -28

... = x² +(-7+4)x -28

... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28

c) We can group pairs of terms in the rewritten expression and factor each pair.

... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4

... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)

... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28

_____

Comment on extended application

When a ≠ 1, there are a couple of additional steps. Effectively, you reduce the fractions ax/p and ax/q to a'x/p' and a''x/q'', then rewrite those as the factors (a'x+p')(a''x+q'') where the ' and '' numbers are after reducing the fractions. (The numbers may be the same as the original if the fraction cannot be reduced.) As a check, a'·a'' = a, and p'·q'' = c.


Related Questions

What is the perimeter of a square with a length of 19 meters?

Answers

The answer is b 38cm

Answer:

76 m

Step-by-step explanation:

If each side has a length of 19 m, then the perimeter is 19m*4 = 76 m

Find the slope of the line from a graph! Will Give brainliest :)

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Answer:

-4

Step-by-step explanation:

because the line is going from top to bottom it is negative

you take the rise ( the Y value) / the run (the X Value)

the Y and X value can be pulled from any two points

Which equation represents the slope-intercept form of the line below?
y-intercept = (0,3)
slope = 4
O A. y = 3x + 4
O B. y = 3x - 4
O C. y = 4x-3
D. y = 4x + 3
help asap

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 3, then

y = 4x + 3 → D

Answer:

b

Step-by-step explanation:

what is the other endpoint of a segment with one endpoint at(-3, 8) and the midpoint at (7, 1)?​

Answers

Answer: The other point is (17, -6).

Step-by-step explanation:

Midpoint (x,y) of the line segment joining (a,b) and (c,d) is given by :-

[tex](x,y) =(\dfrac{a+c}{2}, \dfrac{b+d}{2})[/tex]

Here, we need to find the other endpoint of a segment with one endpoint at(-3, 8) and the midpoint at (7, 1).

Let other point be (a,b), then

[tex](7,1)=(\dfrac{-3+a}{2},\dfrac{8+b}{2})\\\\\Rightarrow\ \dfrac{-3+a}{2}=7\ \text{ and }\dfrac{8+b}{2}=1\\\\\Rightarrow\ -3+a = 7\times2 \text{ and } 8+b=1\times2\\\\\Rightarrow\ -3+a=14\text{ and }8+b=2\\\\\Rightarrow\ a=14+3, \ \ \ b= 2-8\\\\\Rightarrow\ a=17, b= -6[/tex]

hence, the other point is (17, -6).

What is the slope of the line y=8?

Answers

Answer:

undefined or 0

Step-by-step explanation:

Answer:

The answer is 0 because undefined is straight up or vertical

If 6x+3y=−1 and
5x+y=8 are true equations, what would be the value of
−x−2y?

Answers

Answer:   9

x = 2.778

y = -5.889

-x -2y

= -2.778 - 2(-5.889)

= 9

Amy sells tote bags at a craft fair for a day. She pays $50 to rent a booth. The materials and labor cost on each tote bag is $3.50. Her expenses for the day depend on how many tote bags she sells. Write a linear function rule and identify the initial value and rate of change.​

Answers

Answer:

Let x= number of totebags sold

Cost=C(x)=50+3.5x

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Answers

Answer:

0.4

Step-by-step explanation:

Answer:

44.128114

Step-by-step explanation:

a machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.


Based on the graph, how many labels are produced per minute?

50 labels/minute
75 labels/minute
100 labels/minute
150 labels/minute​

Answers

Answer:

150 labels/ minute

Step-by-step explanation:

As you can see on the graph there is a point on (1,1 1/2)=150/1

Also 150*2=300 so it all makes sence

Sam had 1 1-2 m of rope. He cut off 5-8 m and used it for the project. How much does Sam have left​

Answers

1 1/2 m and 5/8 meter need to have the same denominator in order to subtract.

1 1/2 is equivalent to 12/8
Now 5/8 and 12/8 have the same denominator so you can subtract.
12/8-5/8= 7/8
7/8 m is left

There is more than one answer!

Answers

Answer:

I think it's B and D

Step-by-step explanation:

Complete each statement with a number that makes the statement true.



_____ < 7°C



Do not include units (°C) in your answer.



copied for free from openupresources.org


Select one:
15
8
4
10

Answers

Answer:

4

Step-by-step explanation:

the answer is: 4

cause 4 is less than 7

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
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Answers

y = 4/3x - 9
Hiiiiiiiiii

DESPERATE WILL GIVE BRAINLIST AND THANKS
A right rectangular prism is shown.

What is the length of DH¯¯¯¯¯¯ to the nearest tenth of an inch?

Drag and drop the answer into the box.

Response area in.
1.82.43.55.4
A cuboid with points labeled from A to H. It has a height of 3 inches, a width of 1.5 inches, and a depth of 1 inch.

A.3.5
B.1.8
C.2.4
D.5.4

Answers

Answer:

Step-by-step explanation:

Sorry but there's know question.

Answer:

3.5 Inches

Step-by-step explanation:

look at screenshot and answer question

Answers

Answer:

32x +20

Step-by-step explanation:

Answer:

32x+20

Step-by-step explanation:

If you use distributive property you would multiply each number by 4. 4 times 8x is 32x and 4 times 5 is 20, and when you put those together you get 32x+20!

I hope this helps, and have a great day!

PLEASE HELP ME
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Answers

3! i took the test and it was correct.

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Step-by-step explanation:

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donkey kong

Step-by-step explanation:

ssasdasdasdasdasdasda

Answer:

its c

Step-by-step explanation:

Pleasse Helppp Asapppp.

Answers

Answer:

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Step-by-step explanation:

supplementary angles add up to 180 degrees

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Answers

Answer: 1246 for the first and 1400 for the second

Step-by-step explanation:

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Answers

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C
D
B
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Answers

the answer is 77 enjoy please like seroislyyyyyy round 50 cold war zombies!!!

Answer:

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Step-by-step explanation:

How do you graph g(x)=f(x)+5

Answers

Make a positive line going through (0, 5)

Identify the horizontal asymptote of each graph.
y = 0
y = 1
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Identify the horizontal asymptote of each graph.
y = 0
y = –3
y = –5

Answers

Answer:

y = 0 and y = -3

Step-by-step explanation:

The horizontal asymptote of each graph is:

1. y=0

2. y= -3

What is asymptote?

An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.

1.Given function:

 t(x)= [tex]6^{x}[/tex]

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0

Hence, the asymptote will by y=0.

2. Given function:

t(x)= [tex]5^{x}[/tex]-3

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3

Hence, the asymptote will by y=-3.

Learn more about asymptote here:

https://brainly.com/question/4608493

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Let sin(2x)-sin(x)=0, where 0 ≤ x < 2pi. What are the possible solutions for x?

Answers

Step-by-step explanation:

sin2x - sinx = 0

2sinxcosx - sinx = 0

(Double Angle Formula)

sinx(2cosx - 1) = 0

Either sinx = 0 or cosx = 1/2.

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x = π/3 or x = 5π/3.

Hence the solutions are

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(a) How much total interest will Salma earn?

(b) What will the total amount in the account be (including interest)?

Answers

Answer:

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Answers

Answer:

x = -3.5

Step-by-step explanation:

POE = PROPERTY OF EQUALITY

3*2 + 2x + 1 = 0

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x = -3.5 ## ^ Division POE

Answer:

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Step-by-step explanation:

Use PEMDAS to get rid of some things. Do 3 x 2 = 6. Then distribute the like terms to one side seperating 2x and "0": +1 ---> 0-1 = -1. Now divide... 2x/2 = x (cancels out) and 0/2 = 0. Therefore X=0. But I'm not a computer so double check your answer.

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Answers

Answer:

a

Step-by-step explanation:

25 x 10^9 in standard form

Answers

Answer:

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Step-by-step explanation:

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Round your answer to the nearest tenth.

Answers

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Explain how to isolate the variable in the equation−2/3+7=15. solve for n

Answers

Answer:

  n = - 0.0833

Step-by-step explanation:

Given  expression

             [tex]\frac{-2}{3n } +7 = 15[/tex]

Cross multiplication , we get

           [tex]\frac{-2}{3n } = 15 -7[/tex]

          [tex]-2 = 8 X 3 n[/tex]

  ⇒   [tex]\frac{-2}{24} = n[/tex]

     n = - 0.0833

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