An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Consider the trinomial 6x2 + 13x + 6. The value of ac is . The value of b is . The two numbers that have a product of ac and a sum of b are 4 and .

Answers

Answer 1

Answer:

1. ac = 36

2. b = 13

3. 4 and 9

Step-by-step explanation:

Given

6x² + 13x + 6

Required

Fill in the gaps

Solving (1): The value of AC

The general form of an equation is:

ax² + bx + c

By comparison:

a = 6

b = 13

c = 6

So,

ac = a * c

ac = 6 * 6

ac = 36

Solving (2): The value of b

In (1) above, we showed that

b = 13

Solving (3): Two numbers that satisfy product ac and sum b

We have that.

ac = 36

If one of the numbers is 4, then the other number is

Other number = 36/4

Other number = 9

Alternatively, we have that.

b = 13

If one of the numbers is 4, then the other number would be:

Other number = 13 - 4

Other number = 9

Answer 2

Answer:

ac = 36

b = 13

The two numbers that have a product of ac and a sum of b are 4 and 9

Step-by-step explanation:


Related Questions

please help me ASAP ε=ε=ᕕ(°□°)ᕗ​

Answers

Step-by-step explanation:

24cm³ = 0.024dm³

Moles of CO2 = 0.024dm³ / (24dm³/mol) = 0.001mol

Hence 0.001mol of XCO3 is required.

The ratio of plastic bags to paper bags in a grocery store was 5/7. There were 276 bags. How many were plastic bags?

Answers

Answer: 115 bags

Step-by-step explanation: 115/161 eqauls 5/7

A airplane traveled 120 km in 240 minutes. What is the average speed of the airplane? a. 40 b. 10 C. 30 d. 60​

Answers

Answer:

C

Step-by-step explanation:

240m= 4h

120km

V= 120/4 = 30 km/h

I hope this helps, have a good day

Solve for x and then find the length of 2x + 6 and 3x + 6.

Answers

Answer:

Step-by-step explanation:

1. 2x + 6 = 3x-6

2. 2x = 3x-12

3. -1x=-12

4. x=12

2(12) + 6 = 30

3(12) - 6 = 30

Answer:

30

Step-by-step explanation:

because S angle = T angle, this is isosceles triangle

=> SV=TV <=> 2x+6=3x+6

<=> x=12

=> SV=ST=30

Find slop for each line
8x-4y=16

Answers

Use Cymath, it shows you the steps on how to get the slope.

Answer:

y=2x-4

Step-by-step explanation:

slope=mx+b

8x-4y=16

-4y=-8x+16

-4y/-4=y

(-8x+16)/-4=2x-4

y=2x-4

Hope this helps! :)

Write the equation of the line fully simplified slope-intercept form. ​

Answers

y=-2/3x-5
i think is the answer

PLEASE HELPP AND SHOW WORK​

Answers

Answer:

x = 25

Step-by-step explanation:

From the picture attached,

ΔABC and ΔADE are the similar triangles.

Therefore, their corresponding sides will be in the same ratio.

[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}=\frac{\text{BC}}{\text{DE}}[/tex]

[tex]\frac{\text{AB}}{\text{AD}}=\frac{\text{BC}}{\text{DE}}[/tex]

And AB = AD + DB

             = 2(AD) [Since, AD = DB]

By substituting these values,

[tex]\frac{\text{2AD}}{\text{AD}}=\frac{\text{34}}{\text{(x-8)}}[/tex]

2 = [tex]\frac{34}{x-8}[/tex]

x - 8 = [tex]\frac{34}{2}[/tex]

x - 8 = 17

x = 17 + 8

x = 25

please help!!
(dont steal points pls)

Answers

Answer:

i think its 8.7  miles but i might be wrong please correct me if i am

Step-by-step explanation:

Well main street is 5.6 and there is a gab in between main street and highway 1 and its a big gab but not that big it is asking what the length and they are asking what the distance from highway 1 to main street is and that may not seem so far way but its asking from the begining of highway one. I THINK THAT IS CORRECT BUT I'M NOT VERY SURE  

It’s b .......................

determine weather the line is parallel perpendicular or neither

x = 6 and y = 4

Answers

Answer:

Players join in groups of between four and ten players, either online or through their local Wi-Fi connection, to perform tasks on a spaceship, sky headquarters or planet base. The problem? One player is an alien impostor out to murder everyone, and it's up to the rest of the group to determine who it is.

Step-by-step explanation:

Players join in groups of between four and ten players, either online or through their local Wi-Fi connection, to perform tasks on a spaceship, sky headquarters or planet base. The problem? One player is an alien impostor out to murder everyone, and it's up to the rest of the group to determine who it is.

Answer:neither

Step-by-step explanation:

can somebody teach me how to do this 1 math question, its about solve for the area! WILL Give Brainiest!

Answers

Answer:

area is 100m  bc u do 10 times 10

Step-by-step explanation:

Answer:

139.27 meters squared

Step-by-step explanation:

So what you're doing is calculating the square's area and half of the circle's area.

The square's area is 100m^2 since 10*10=100

For the circle part, you use πr^2. You know the diameter of the circle, and radius is half of the diameter, so 10/2=5.

π*5^2 = 78.54 m^2

Since you have half of a circle you divide this by 2.

39.27

Finally you add your two areas together

100+39.27=139.27 meters ^2

What is the length of BC, given that figure ABCD is a rectangle?
PLZ Help

Answers

The answer is B) 18:) hope this helps

Roberto evaluated 34 ÷ 45 and got an answer of 1516. Which statement is true about his answer?

Answers

Answer:

Roberto is correct because 15/16 x 4/5 = 3/4.

Roberto's solution to the division problem is correct, but

there are no true statements on your list of choices.

Answer:

Roberto is correct because 15/16 x 4/5 = 3/4.

Step-by-step explanation:

The product of 6 and a number.

Answers

6x is the answer
mark me brainliest if the answer is correct, thank you in advance :)
6x is the answer for this question

1. Sherrys age is nine less than six times Fred's age. Write an equation and find Sherrys age if Fred is ten years old.

2. A bicycle was originally priced at $102 and is on sale for 30% off. What is the discounted price?

Answers

Answer:

1. x= 10x6-9 Sherry is 51 apparently

2. $71.40

Step-by-step explanation:

y + 12.5 = 21.7, y =

Answers

Answer:

y = 9.2

Step-by-step explanation:

21.7 - 12.5 = 9.2

Answer:

y = 9.2

Step-by-step explanation:

I WILL GIVE BRAINLY

Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes?
A. 2d – 5
B. 5 – 2d
C. d + (2 – 5d)
D. d + (2d – 5)


PLSSSSS SHOW YOUR WORK PLSSS

Answers

Answer:

D

Step-by-step explanation:

We will let d represent the amount of dimes Angela has.

Angel has 5 fewer quarters than twice the number of dimes.

Twice the number of dimes will be 2d.

Then, 5 fewer will yield 2d-5.

Therefore, the amount of quarters Angela has is 2d-5.

Then, the total amount of coins (dimes and quarters) together, will be:

[tex]d+(2d-5)[/tex]

The first part is the amount of dimes.

And the second part is, as we determined, the amount of quarters.

Therefore, our answer is D.

Patricia bought three dresses that each cost the same amount and a pair of jeans that cost $45 the items she brought cost a total of $150 before tax was added

Answers

Answer:$35 for each dress

Step-by-step explanation:

150-45=105

105/3=35

$35 each dress

A recipe says to use 3 cups of flour to make 48 cookies. What is the constant proportionality that relates the number of cookies, y, to the number of cups of flour used, x?

Answers

Answer  k=16

A recipe says to use 3 cups of flour to make 48 cookies.

the number of cookies made, y, to the number of cups of flour used,x .

Than

y = kx

Where k is the constant of proportionality.

48 = 3k

k = 16

Therefore the constant of proportionality is 16.

Pleaseee I need help

Answers

Answer:

32

Step-by-step explanation:

2x-16 + 4x+4 =180

6x=180+12

6x=192

x=32

I hope this helps, have a good day

Adriana can read 6 pages in 10 minutes. At this rate, how many pages can
she read in 25 minutes *
Your answer

Answers

Answer:

23 pages.

Step-by-step explanation:

10=6 10+10=20 half of 6=3 20+3=23

answer: Adriana can read 16 pages in 25 minutes

I need help with this questions ASAP!

Answers

Answer:

Step-by-step explanation:

3100 ft per 50,000 years

31 ft per 500 years (Divided 100)

Convert ft to inches

372 in per 500 years

0.744 inches per year (Divided by 500)

What is the 8th term in the arithmetic sequence defined by the explicit formula An = 2n + 7

Answers

9514 1404 393

Answer:

  23

Step-by-step explanation:

Put 8 in the formula and do the arithmetic.

  A8 = 2·8 +7 = 16 +7

  A8 = 23

What category does the number negative 4 fall into 

Answers

Answer:

It falls in the integer category. The attached picture is a chart if you want to specify a number in a category.

Hope this helps :)

You continue shopping for your holiday feast. The price for a 5 lb. bag at H-E-B is $2.98. The price for a 10 Ib. bag at Kroger is $5.99. Which store has the best unit price for potatoes? ​

Answers

Answer:

$8.97 and no decimal include in it

What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?

Answers

Answer: C :>

Step-by-step explanation:

Answer:

the answer is number 3

Find tan θ if sec θ = square root of thirty seven divided by six and sin θ < 0.

Answers

Answer:

1/6

Step-by-step explanation:

sec = 1/cos = [tex]\sqrt{37}[/tex]/6 and cos is adj/hyp so the other side of the triangle is 1 and tan = sin/cos so 1/6

A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.

Answers

Answer:

30 angels

Step-by-step explanation:

This flow chart shows the first five steps in a criminal
court case.
What happens during the sixth step?
The jurors discuss the case.
The lawyers present the facts.
The judge states the sentence.
O The defendant takes the stand.
Jury selection
Opening
statements
Jury deliberation
Evidence
presented
Closing
statements

Answers

Answer:

The answer is B

Step-by-step explanation:

Because I did the test on edge

Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.

Answers

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

We can define the absolute value of any number:

IxI as:

"The distance between the point x and the origin in the coordinate axis"

If we are in one dimension, x is just a value, and the coordinate axis will be a number line.

Then we could rewrite this as:

"is the distance between the value x and the 0 in the number line"

So:

IxI = x if x > 0

IxI = -x if x < 0.

Then:

I -5 I

Is the distance between the number -5, and the 0 in the number line, and this is:

I - 5 I = 5.

The correct option is:

"It is the distance that -5 is form 0 on the number line"

Answer:

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

Is this a function or not

Answers

Answer:

it is a function

Step-by-step explanation:

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