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

A circle has a diameter of 32 m. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

[tex]C=32(3.14)=100.48\text{ meters}[/tex]

Step-by-step explanation:

We know that the circle has a diameter of 32 meters.

And we want to find its circumference.

The circumference of a circle is given by the formula:

[tex]C=\pi d[/tex]

Where d is the diameter.

So, we will substitute 32 for d and we will use 3.14 for π. Hence, our circumference will be:

[tex]C=32(3.14)=100.48\text{ meters}[/tex]

Answer:

100.48 m

Step-by-step explanation:

C=2(3.14)r

C=2(3.14)(16)

C= 100.48 m

81-1 1/5 x < 55
please help i need help fast

Answers

Step-by-step explanation:

81 - 1.2x < 55

81 < 55 + 1.2x (add 1.2x to both sides)

1.2x > 26 (subtract 55 from both sides)

x > 21 2/3.

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

the answer is
y= 1/4x - 4
hope this helped!!

Answer:

might be b but I'm not 100% sure so sorry if it's wrong

Explain how you would trace an argument. (1 point)

A. You would trace an argument by seeing if the reasons and evidence are
relevant in their support of the claim.

B. You would trace an argument by determining if the claim is true based on
the writer's different opinions.

C. You would trace an argument by seeing if the counterclaim provides
enough evidence and support for the topic.

D. You would trace an argument by deciding if
you agree with the stance that
the writer chose for the topic.

Answers

Answer:

A. You would trace an argument by seeing if the reasons and evidence are relevant in their support of the claim.

Step-by-step explanation:

The tracing of an argument should be seen when the reasons & evidence should be relevant for supporting the claim.

The following information should not be considered:

When the claim is true and depend upon the different writer opinion. When there is counterclaim and it gives sufficient evidence.When the writer choose for the topic.

Therefore we can conclude that the first option is correct.

Learn more: brainly.com/question/17429689

In what ways do you follow a healthy diet?

Answers

By eating healthy and constantly working out

A teacher buys 5 pizzas. Each slice is 1/8 of a pizza. How many slices are there in total?

1/40 slice
4 slices
20 slices
40 slices

Answers

Answer:

40 slices

Step-by-step explanation:

Each slice = 1/8 pizza

Pizza = 8 slices

5 pizza = 5 x 8 slices

5 pizza = 40 slices

The total number of slices in 5 pizzas if each slice is 1/8 of a pizza is 40 slices

Solving equation

Total pizza bought = 5Each slice = 1/8

Total slices of pizza = Total pizza bought ÷ Each slice

= 5 ÷ 1/8

= 5 × 8/1

= 40 slices

Therefore, the total number of slices in 5 pizzas if each slice is 1/8 of a pizza is 40 slices

Learn more about equation:

https://brainly.com/question/2972832

A video posted on the internet is becoming very popular, and the total number of views is increasing by 40% every hour. If the video currently has 74,300 views, how many views will it have in 9 hours?

Answers

Answer:

74304 approx.

Step-by-step explanation:

Step one:

given data

current view of the video is marked at =74300

the rate of increase is 40%

let the number of hours be x

and let the total views be y

hence the linear function for the total is

y=0.4x+74300

Required is the value of y when  x=9

Step two:

substitute x=9

y=0.4(9)+74300

y=3.6+74300

y=74303.6

y=74304 approx.

Gabriel has these cans of soup in his kitchen cabinet.

• 2 cans of tomato soup
• 3 cans of chicken soup
• 2 cans of cheese soup
• 2 cans of potato soup
• 1 can of beef soup

Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?

Answers

Answer:

the answer is the chese soup has a good chance of being picked but not as good as the chicken soup. there would so 3:2 3 to 2. so if they picked the chese soup the first time then there is not a good chance of the chese soup to be picked again. I hope that helped if not et me know

Kinda stuck on this question. Anyone can help! Thanks!

Answers

Answer:

D. 308

Hope This Helps!

Answer: your answer is D-please look below for an explanation!

Step-by-step explanation: here are the steps to find it using long division:

step 1: write out your problem-

step 2: see how many times go into 2156

step 3: write your answer out then choose

your answer is option D(308)

hope this helped! please give me a thx and brainliest!

Evaluate [7 - (2 - 5(4 - 7) + 6)] + 7

30
-20
-42
-9
None of the above

Answers

7−(2−5(4−7)+6)+7

=7−(2−(5)(−3)+6)+7

=7−(2−(−15)+6)+7

=7−(17+6)+7

=7−23+7

=−16+7

=−9

Thus, the answer is -9

two supplementary angles are in a ratio of 7:11. find the measures of each angle

Answers

Answer:

70° and 110°

Step-by-step explanation:

Supplementary angles sum to 180°

sum the parts of the ratio, 7 + 11 = 18 parts

Divide 180° by 18 to find the value of one part of the ratio.

180° ÷ 18 = 10° ← value of 1 part, thus

7 parts = 7 × 10° = 70°

11 parts = 11 × 10° = 110°

The 2 angles are 70° and 110°

are are 11 books on a short 4 of these books are new. The rest of them are used. (a) What is the ratio of used books to all books on the shelf? () What is the ratio of used books to new books?​

Answers

Answer:

a) 7:11 b) 7:4 hope this helps

In a lab experiment, 100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 26 hours. How long would it be, to the nearest tenth of an hour, until there are 168 bacteria present?

Answers

9514 1404 393

Answer:

  19.5 hours

Step-by-step explanation:

The number in the dish at time t (in hours) can be described by ...

  n(t) = 100·2^(t/26)

We want to find t such that ...

  n(t) = 168

  100·2^(t/26) = 168

  2^(t/26) = 1.68 . . . . . . divide by 100

  (t/26)log(2) = log(1.68) . . . . . take logarithms

  t = 26·log(1.68)/log(2) ≈ 19.459992 . . . . divide by the coefficient of t

  t ≈ 19.5 . . . hours

It would be about 19.5 hours until there are 168 bacteria.

Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.

Answers

Answer:

La longitud = 7 metros

La anchor = 10.5 metros

Step-by-step explanation:

La fórmula para el perímetro de un rectángulo es

P = 2L + 2W

L = longitud

A = ancho

P = 35 metros

se sabe que el doble de su ancho es igual a 3 veces su largo.

2A = 3L

Ancho = 3L / 2 = 1.5L

Sustituimos 1.5L por W

35 = 2 L + 2 (1.5 L)

35 = 2L + 3L

35 = 5 litros

L = 35/5

L = 7 metros

Por lo tanto, la longitud = 7 metros

Recuerda

A = 1.5 L

A = 1.5 × 7

A = 10.5 metros

La anchor = 10.5 metros

Someone help me pls!!!!

Answers

Answer:

it b

Step-by-step explanation:

Solve -4h - 3 > 4 for h.


will give you brainliest

Answers

Answer:

h<-7/4

Step-by-step explanation:

HELP WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

huh

ok

....................................

someone help me pleaseeee

Answers

Answer:

3 times 2 equal 5

Step-by-step explanation:

did the test and made 100

The slope of the line passing through the points (7, 5) and (21, 15) is____.
How do I find the slope?

Answers

Answer:

m= 5/7

Step-by-step explanation:

a carnival booth duck game offer cash prizes. the booth at 75 plastic ducks floating around in a wading pool. 4 ducks have a green stars on the underside, and you win $10 for selecting a duck with a green star. it costs $1 to select a duck. is this a fair game? ​

Answers

Answer:

No, it is not fair

Step-by-step explanation:

Here, we want to check if this is a fair game

To win a sum, a duck with a green star on the underside must be selected

The number of ducks with this is 4 out of 75

The probability of selecting one is 4/75

The expected value of selecting is ;

4/75 * 10 = 0.5333

The cost of selecting a duck is $1

The probability that a duck that wins will not be selected is 71/75 which at a price of $1 is 0.9467

Since the price to lose and the amount to win is not the same, then the game is not fair

How much is 2% of 3.50

Answers

Answer:

.07

Step-by-step explanation:

3.50 * 2% = .07

or

3.50 * .02 = .07

Complete the point- equation of the line through (5,2) and (6,-3)

Answers

y-2= -5*( x-5)
hope this helped

Answer this please and fast

Answers

Answer:

The 3rd answer because each income has an outcome.

Step-by-step explanation:

Answer:

4th option is correct.

The mean number of robberies per month in a certain town is 3. What is the probability that in any given month 5 robberies will occur in this town?

0.01
0.14
0.265
0.916

Answers

Answer:

i think  its c but not 100% tbh

Step-by-step explanation:

0.5x + 0.25(x + 16) = 4 + 0.75x

Answers

the answer is 0.75x+4=4+0.75x meaning they have infinitely many solutions:)

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[tex]0.5x + 0.25(x + 16) = 4 + 0.75x \\ [/tex]

[tex] \frac{1}{2} x + \frac{1}{4} (x + 16) = 4 + \frac{3}{4} x \\ [/tex]

[tex] \frac{1}{2} x + \frac{1}{4} x + \frac{16}{4} = 4 + \frac{3}{4} x \\ [/tex]

[tex] \frac{2}{4} x + \frac{1}{4}x + 4 = \frac{3}{4} x + 4 \\ [/tex]

[tex] \frac{3}{4} x + 4 = \frac{3}{4} x + 4 \\ [/tex]

The sides are exactly have like terms ,

Thus we have infinite solution for the equation.

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Find the slope
Please help

Answers

Answer:

You have to find slope by doing rise over run. Which is y2-y1 over x2-x1.

Step-by-step explanation:

Interest = $ 6400, rate = 4% time = 5 years ( if you don't know don't answer) please solve it correctly​

Answers

Answer:

principal=32000

Step-by-step explanation:

I=p×r×t/100

6400=p×4×5/100

640000=p×20

p=32000

Find the x and y intercept of
-x-4y=16.

Answers

The answer is going too be -4 or you can write it as (0,-4) I think
It is -4 I think lol

PLEASE HELP ASAP
The graph of which function has an axis of symmetry at x = one-quarter?

A: f(x) = 2x2 + x – 1
B: f(x) = 2x2 – x + 1
C: f(x) = x2 + 2x – 1
D: f(x) = x2 – 2x + 1

Answers

Answer:

its A) f(x)= 2[tex]x^{2}[/tex]+x-1

Step-by-step explanation:

Answer: A sounds correct

Step-by-step explanation:

80 is what percent of 125?​

Answers

80/125 = 0.64
0.64 * 100 = 64
Answer 64%
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