What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?

Answers

Answer 1

Thats insane tho!

Whats ur aops class that you take?


Related Questions

Shannon graphed the system of equations. 7x – 4y= –8 y = y equals StartFraction 3 over 4 EndFraction x minus 3.x – 3 A coordinate grid with 2 lines. The first line passes through (0, negative 3) and (negative 4, negative 6). The second line passes through (0, negative 2) and (negative 4, negative 6). The lines appear to cross at about negative 5 and between negative 6 and negative 8.What of the following best describes the geography English colonists found when they first began to arrive in North America?

Answers

Answer:

its (-5 -5.9)

Step-by-step explanation:

i got id right on edg

Which equation is represented by the graph below?

Answers

do you have the equations to show?

The equation below is the equation of a line in point slope form, what is the x-
coordinate of the point?
y+5=—3 (x+6)

Answers

Answer:

Step-by-step explanation:

X=-x^2+x-5

Write an equivalent fractions for 3/7 and 1/3 using 21 as the common denominator

Answers

Answer:

9/21 & 7/21

Step-by-step explanation:

Equivalent fraction for  [tex]\frac{3}{7}[/tex] and  [tex]\frac{1}{3}[/tex] using 21 using as the common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].

What are equivalent fraction?

"Equivalent fraction is fraction with different numerator or denominator

that represents the same value or proportion of the whole."

What is common denominator?

"Common denominator is the same denominator of all the fraction"

We have to write an equivalent fractions for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex]  using 21 as common denominator.

As we know when we multiply [tex]7[/tex] by [tex]3[/tex] to get [tex]21[/tex]

and we have to multiply [tex]3[/tex] by [tex]7[/tex] to get [tex]21[/tex]

⇒[tex]\frac{3}{7}=\frac{3}{7}[/tex]×[tex]\frac{3}{3}=\frac{9}{21}[/tex]

⇒[tex]\frac{1}{3}=[/tex][tex]\frac{1}{3}[/tex]×[tex]\frac{7}{7}=\frac{7}{21}[/tex]

Hence, Equivalent fraction for  [tex]\frac{3}{7}[/tex] and  [tex]\frac{1}{3}[/tex] using 21 as common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].

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A savings account increases from $200 to $208. What is the percent increase of the
savings account?

Answers

Answer:

4%

Step-by-step explanation:

8/200 = 0.04

A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 4 milliliters of compound
B. If a chemist wants to make 621 milliliters of the drug, how many milliliters of compound A are needed?

Answers

Answer:

884

Step-by-step explanation:

We know the ratio of A to B is 5:8

let x = the multiplier

then

5x = amt of compound A

and

8x = amt of compound B

 

:

5x + 8x = 884

13x = 884

x = 884/13

x = 68 is the multiplier

therefore

5(68) = 340 millilters of compound A needed

:

:

Confirm our answer. Find the amt of B

8(68) = 544 ml of B

340 + 544 = 884

A beetle that Hannah observed was too small to draw at its actual size. Hannah decided to make a scale drawing of the beetle as shown above. The beetle in the drawing is 7.62 cm long and 3.81 cm wide. The scale factor of her drawing is 3. Part A: Find the actual length of the beetle Hannah observed. Show all work. Part B: Find the actual width of the beetle Hannah observed. Show all work. Part C: The actual length of each of the beetle's antennae is 0.2 cm. What is the size of each antenna on Hannah's scale drawing? Show all work.

Answers

Answer:

[tex]Actual\ Length = 2.54\ cm[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae

Step-by-step explanation:

Given

The following scale measurements

[tex]Length = 7.62cm[/tex]

[tex]Width = 3.81cm[/tex]

[tex]Scale\ Factor = 3[/tex]

Solving (a): The actual length.

We simply divide the scale length by the scale factor.

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]

[tex]Actual\ Length = 2.54\ cm[/tex]

Solving (b): The actual width.

We simply divide the scale width by the scale factor.

[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]

[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

Solving (c):

Given: Actual Length of the beetle's antennae is 0.2 cm.

Required: Determine the scale measurement.

This is solved using:

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]

[tex]Scale\ Length = 0.2cm * 3[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex]

I’ll mark you brainlist write in y=mx+b form

Answers

Answer:

y=-1/8x +4

Step-by-step explanation:

1. First, write the equation in point-slope form: y-y1=m(x-x1)

y-1=-1/8(x-24)

2. Distribute -1/8 to x and -24

-1/8 times x = -1/8x

-1/8 times -24 = 3

y-1=-1/8x+3

3. Add 1 to both sides

y=-1/8x +4

What does the statement T(20) = T(c) mean?

Answers

It is C. floor 20 and floor c have the same amount of tenants

There are 5 hockey games and 7 football games happening in the upcoming month. You decide to attend 3 games by picking at random. What is the probability that you pick 3 football games? Leave your answer as a simplified fraction.

Answers

Answer:

1/4

Step-by-step explanation:

5 plus 7 equals to 12

3 football games

3/12=1/4

Solve the following equation: 3x + 6 = 9​

Answers

Answer:

Step-by-step explanation:

3x+6=9

3x=9-6

3x=2

x=1.5

Answer:

x=1

Step-by-step explanation:

Subtract 6 from both sides of the equation, leaving 3x=3.

We put both sides over 3 to divide.

We are left with x=3

To test this, we substitute x with 1.

3(1)+6=9

3+6=9

9=9

Rick has a piece of lumber that is 12 feet long. He cuts it into pieces that are each 3/4 of a foot long. How many pieces of 3/4 foot lumber will he be able to make?

Answers

Answer:

He will be able to make 16 pieces of lumber

Step-by-step explanation:

please help, i’m so confused ahhh

Answers

Answer: x = 3. the length of side ST is 14.

Step-by-step explanation:

Since both sides are equal, we can use the equation 3x + 5 = 5x - 1.

To start the problem, we subtract 3x from each side which makes our equation 5 = 2x - 1.

The next step would be to simplify the equation by adding 1 to each side which makes our equation 6 = 2x.

We then need to simplify the equation to x = 3.

This means the answer to 9 is x = 3.

For the next problem, since we already know the value of x, we substitute its value which in this case would be 3. This leaves us with an equation of 9 + 5, which equals 14.

This means the length of side ST is 14.

What is the slope of the line shown?

Answers

the slope would be -1/3
I think the answer is -1/3

If x = 12 units, y = 4 units, and h = 8 units, find the area of the rhombus shown above using decomposition. A. 16 square units B. 96 square units C. 128 square units D. 32 square units

Answers

The area of the rhombus will be 96 square units. Then the correct option is B.

The missing diagram is attached below.

What is the area of the rhombus?

Let a be the length and h be the height of the rhombus.

Then the area will be

Area = a × h square units

If x = 12 units, y = 4 units, and h = 8 units.

Then the area of the rhombus will be

A = 12 × 8

A = 96 square units.

Then the correct option is B.

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Answer:

96

Step-by-step explanation:

What happens to the graph of f(x) when it is multiplied
by a number between - 1 and 0?

Answers

It’s dilated so it gets smaller sorry if this isn’t right lol

On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 3, 0) and the y-axis at (0, 3). A straight blue line with a positive slope, labeled f of x, crosses the y-axis at (0, negative 3) and the x-axis at (1, 0). Both lines intersect at (3, 6).

Answers

Answer:

f(6) = g(3)

Step-by-step explanation:

Which statement is true regarding the functions on the graph?

f(6) = g(3)

f(3) = g(3)

f(3) = g(6)

f(6) = g(6)

Solution:

g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:

g(x) = y

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3[/tex]

f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:

f(x) = y

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3[/tex]

f(6) = x-3 = 6 - 3 = 3

g(3) = x + 3 = 3 + 3 = 3

f(6) = g(3)

Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar
cheese?
A. x = 4.25 + y
B. x = 4.25y
C. y = 4.25+ x
D. y = 4.25x

I will MARK brainlist!

Answers

Answer:

D

Step-by-step explanation:

4.25 × the amount of cheese you buy (x) equals the total cost (y)

Answer:

D. y = 4.25x

Step-by-step explanation:

You multiple the price per pound by the number of pounds. Can I have brainliest? Thanks!

If Mitch bicycles at an avenger speed of 18 miles per hour,how long will it take him to cover 76.5 miles?

Answers

Answer:

b

Step-by-step explanation:

A rectangular prism has a height of 15 centimeters. The base of the prism has an area of 22 square centimeters. What is the volume of the prism?

Answers

Answer:

330cm^3

Step-by-step explanation:

22 only has 2 factors 11&2. So take 11•2•15=330 Doing it as 22•1•15 works as well.

Choose the best graph that represents the linear equation:
6x = y + 8
Graph A
On a coordinate plane, a line goes through (negative 2, 4) and (0, negative 8).
Graph B
On a coordinate plane, a line goes through (0, negative 8) and (2, 4).
Graph C
On a coordinate plane, a line goes through (negative 2, negative 4) and (0, 8).
Graph D
On a coordinate plane, a line goes through (0, 8) and (2, negative 4).
a.
Graph A
c.
Graph C
b.
Graph B
d.
Graph D

Answers

Graph B



Graph B the person above me got before I did

1. Natasha worked at a diner for $10per hour last week and already had $42 in her bank account? She paid $206 for a prom dress. The equations 206 = 42 + 10h represents this problem. How many hour did she work to pay for the prom dress?

2. Translate the following sentence into a mathematics equation. The sum of 10 and five time a number is the same as the difference of the number and 6

Answers

Answer:she worked 17 hours

Step-by-step explanation: 10×17=170+42=212

Answer:

She worked 16.4 hours

Step-by-step explanation:

What is the approximate area of the circle shown below?
OA. 30 cm2
OB. 39 cm2
DC. 121 cm2
OD. 19.5 cm2

Please help ASAP!

Answers

Answer:

C. 121cm2

Step-by-step explanation:

The area of a circle is pir^2.

Let pi be rounded to 3.14 and r = 6.2cm

6.2^2*3.14 = 120.76, which rounds to 121cm2

Answer:

C)  21 cm²

Step-by-step explanation:

area of a circle = π r²

                         = π (6.2)²

                         ≈ 21 cm²

Translate: the difference of x and 13, added to 12

Answers

Answer:

12+(x-13)

Step-by-step explanation:

the difference of x and 13 is subtraction and then added to 12 is addition.

[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• -3 1/2

[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• opposite of –5

Answers

Answer:

Positive 5.

Step-by-step explanation:

Opposite of negative 5 is positive 5.

The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.

Answer:positive 5

Step-by-step explanation:

Evaluate. -2 1/4 -(-3 2/5).

Answers

Answer:

1 3/20

Step-by-step explanation:

1. Make them all into fractions:

-8/4 -1/4 -(-15/5 -2/5)

2. Add like-terms:

-9/4 -(-17/5)

3. A negative times a negative makes a positive:

-9/4 +17/5

4. Identify the least common denominator (LCD):

20

5. Apply:

-9x5/4x5 +17x4x/5x4

6. Solve:

-45/20 +68/20

7. Result:

23/20, simplified 1 3/20

Decide whether enough information is given to prove that the triangles are congruent. If so, state the theorem you would use



not enough information provided


yes; AAS Congruence Theorem


yes; SAS Congruence Theorem


yes; SSS Congruence Theorem

Answers

Answer:

Yes; AAS Congruence Theorem

Proof:

In [tex]\triangle ABC[/tex] and [tex]\triangle QRS[/tex]:

[tex]\angle BAC = \angle RQS[/tex] (given)

[tex]\angle ABC = \angle QRS[/tex] (given)

[tex]AC =QS[/tex] (given)

∴ [tex]\triangle ABC \cong \triangle QRS[/tex] (AAS)

There is enough information to prove that the two triangles are congruent through the AAS congruence theorem.

Hope this helps :)

Is the relation shown below a function? Use the graph below to justify your response.

(0, 0), (2, 0), (2, 2), and (3, 4)

Answers

Answer:

yes it is a function there is no graph so I cant justify it

The relation is not a function.

Relations

Relations that are functions will pass the vertical line test

Points

The points are given as:

(0,0), (2,0), (2,2), and (3,4)

Graphs

Next, we plot the points on the graph (see attachment).

From the graph, we can see that a vertical line passes through points (2,0) and (2,2).

Hence, the relation is not a function.

Read more about functions and relations at:

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Rita filled 2/5 of a jug with fruit juice. She then added 200 ml of milk to make a milkshake. At this stage, the ratio of the fruit juice to milk is 3:2
how much more liquid can the jug hold?
a)250 ml
b)300 ml
c)400 ml
d)450 ml

Answers

Answer:

250ml understand the concept please

The jug can hold 250 ml more liquid.

Let the jug can hold x ml liquid.

Given Rita filled 2/5 of a jug with fruit juice.

So, the amount of fruit juice is = 2/5 of x = 2x/5.

Then she added 200 ml milk.

Given the ratio of the fruit juice to milk is 3:2.

So,

[tex]\frac{2x}{5}:200=3:2\\\frac{\frac{2x}{5} }{200}=\frac{3}{2}\\2( \frac{2x}{5})=600\\\frac{4x}{5}=600\\ x=\frac{600*5}{4}\\x=750[/tex]

So the amount of fruit juice = [tex]\frac{2}{5}*750=300[/tex] ml.

Total amount of fruit juice and milk = 300+200=500 ml.

So the jug will hold = 750 - 500 =250 ml more.

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Which of the following is the slope of the line that passes through (-3,5) and (1, 15)?

Answers

Answer: 5/2

Step-by-step explanation: slope is the change in y over the change in x (y2-y1/x2-x1)

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