Mathematics College

15a^2 + 14a -8 use A.C method

Answers

Answer 1
Hello there!

A C method : you multiply the A and C -> find the factors of AC that can add                          up to B. (a² + bx + c)

15a² + 14a - 8

you multiply 15 and -8 = -120
Find the two factors of -120 that adds up to 14.
We could used 20 and -6.
So we can split the original equation to this:

15a² + 20a - 6a - 8
Now, we use grouping method.
Let's group 15a² + 20a  and -6a - 8.

15a² + 20a can be factored like this :
5a(3a + 4)

-6a - 8 can be factored like this :
-2(3a + 4)

So it is 5a(3a + 4) × -2(3a + 4)
We can simplify this into this :
(5a - 2)(3a + 4)


So your final answer is (5a - 2)(3a + 4).
Hope this helped! :)

Related Questions

At Central High School, there are 60 football players and 25 cheerleaders. What is the ratio of cheerleaders to football players? please slimlfy

Answers

the   simplified ratio is 5/12

Answer:

The answer is 5:12

Step-by-step explanation:

the area of a rectangle is text square and the length of the rectangle is 3 ft more than twice the width. find the dimensions of the rectangle length and width

Answers

Area of rectangle = 35 feet square
Let the Width of rectangle is x feet.
Length of rectangle is 3 feet more than twice the width.
Thus,Length can be written as: 2x + 3

Area of rectangle is product of its length and width.
So,

Area = Length x Width

[tex]35 = x (2x + 3) \\ \\ 35 = 2 x^{2} +3x \\ \\ 2 x^{2} + 3x - 35 = 0 \\ \\ 2 x^{2} + 10x - 7x - 35 =0 \\ \\ 2x (x + 5) - 7 (x+5) = 0 \\ \\ (2x-7)(x+5)=0[/tex]

Thus
x = -5
or
x =7/2 = 3.5

Since the measure of width cannot be negative, we neglect x = -5. and keep the value x = 3.5

Therefore,
Width = 3.5 feet
Length = 2x + 3 = 2(3.5) + 3 = 10 feet  

Social networking websites are often assumed to help shy people communicate and make friends. However, a study of site users has shown that they have lower self-esteem than those who do not use social networking sites.
Based on this excerpt, we can conclude that using social networking websites .

Answers

Social networking websites helps in communication and making friends , but cannot help in overcoming shyness

What is Shyness ?

Shyness is a part of human behaviour that inhibits people who are shy to interact freely with people , It is a kind of fear to meet and be around new people.

Social Media has helped the shy people to be able to interact with new people without actually seeing them or meeting them ,

It has become a getaway from actually meeting people face to face , most of the feelings are communicated through messages.

The research that they have lower self-esteem than those who do not use social networking sites is true because actually making new friends in the actual world help you build confidence and makes you overcome shyness.

Social media is helping shy people but keeping them shy and so they never overcome the behaviour and in long run are still unable to talk to people and thus have low self esteem.

From this it can be concluded that for shy people , Social networking websites helps in communication and making friends , but cannot help in overcoming shyness.

To know more about Shyness

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Answer:

The answer would be 'is associated with low-self esteem'

Step-by-step explanation:

Express the number .0957 as a percent rounded to the hundredth place. (please include the % symbol.)

Answers

The answer would be 9.57%. You would move the decimal 2 places to the right and add the percent.

Tom and Sonya were comparing their answers on a math problem. It was an order of operations problem, and they each had a different answer. Tom had an answer of 11, and Sonya had an answer of 104. Which student correctly solved the order of operations problem given by the teacher?

(52 +6)–(7•4)+8

*Challenge: Can you nd the mistake that Sonya made in completing her problem?

Answers

Order of operations is PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)

= (52 + 6) - (7 * 4) + 8
work inside parentheses first
= 58 - 28 + 8
work left to right now
= 30 + 8
= 38

SONYA'S MISTAKE
= (52 + 6) - (7 * 4) + 8
I think she added the 52, 6+4, multiplied 7*4 to equal 28, then added the 6+8 to equal 14
= 52 + 28 + 14 + 10
= 104

ANSWER: 38

Hope this helps! :)

If y varies directly as x and y=3 when x=12, what is the value of when x=18

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} y=3\\ x=12 \end{cases}\implies 3=k12\implies \cfrac{3}{12}=k \\\\\\ \cfrac{1}{4}=k\qquad therefore\qquad \boxed{y=\cfrac{1}{4}x} \\\\\\ \textit{when x = 18, what is \underline{y}?}\qquad y=\cfrac{1}{4}(18)[/tex]

Answer:

1/4(18)

Step-by-step explanation:

toby needs 2 4/5 poundscof clay to make one sculpture how many sculptures can he make from 14 pounds of clay show your work

Answers

He can make 5 sculptures.

We divide the amount of clay, 14 pounds, by the amount it takes to make one sculpture, 2 4/5 pounds:

14 ÷ 2/45 = 14 ÷ 14/5 = 14/1 ÷14/5 = 14/1 × 5/14 = 70/14 = 5

32% of 50 please answer fast need help ............

Answers

The answer for 32% of 50 is 16.
hello,

the answer is 16.

32% needs to change to 0.32. then, you multiply 0.32 by 50, and the sum is 16.

hope you have a great day / night :)

write an expression that is,equivalent tp 7/8

Answers

Hello!

[tex] \frac{7}{8} [/tex] = [tex] \frac{3.5}{4} [/tex]

Enjoy.
~Isabella

What is the value of X?
Write as decimal.

Answers

we have that
dMN/dMP=dAM/x
dAM=46.2-14=32.2 cm

then
x=dAM*[dMP/dMN]=32.2*[72.6/46.2]=50.60 cm

the answer is x=50.60 cm

Alice says she can find the area of the room by dividing the floor plan into two trapezoids. show how she can divide the floor plan. then find the area using her method

Answers

To find the room's area, Alice can divide the floor plan into two trapezoids, calculate each trapezoid's area using the formula for a trapezoid's area (A = (a + b)/2 × h), and then sum the two areas.

Alice can find the area of the room by first dividing the floor plan into two trapezoids, which can be done by drawing a line across the room that connects two non-adjacent vertices. Once divided, you can use the formula for the area of a trapezoid to find the area of each part and then sum the two areas to get the total area of the room.

Calculating the Area of a Trapezoid

The formula for the area of a trapezoid is:

A = (a + b)/2 × h

Where a and b are the lengths of the two parallel sides, and h is the height. Once you calculate the area of both trapezoids using this formula, you can add them together to find the total area of the room.

Number of dinners = 125 Individual portion = 8 oz. Size of can = 32 oz. Number of cans required = _____. 2

Answers

To get total of oz for the dinner:

125 * 8 =  1000 oz

To get number of cans:

1000 ÷ 32 = 3.125 cans or at least 4 cans to served dinner

Answer:

Number of cans required = 32

Step-by-step explanation:

Number of dinners = 125

Individual portion size of each dinner = 8 oz.

Total portion size of all the dinners = 125 × 8

⇒ Total portion size of all the dinners = 1000 oz.

Size of one can = 32 oz.

[tex]\text{Number of cans required = }\frac{\text{Total portion size of dinner}}{\text{Size of each can}}\\\\\implies\text{Number of cans required = }\frac{1000}{32}\approx 31.25[/tex]

Hence, Number of cans required = 32

Which of the following uses absolute value correctly to show the distance between -40 and 18

Answers

The third selection is appropriate.
  |-40 -18| = |-58| = 58 . . . . units

_____
In the first selection, it is trying to tell you |-58| = -58. That is not so. The result of taking the absolute value is that the sign is never negative.

the angles formed by two perpendicular lines have a measure of

Answers

Hi there!

Angles of perpendicular lines are always 90 degrees. 

Hope this helps!

melina walked 9/12 mile day dor 5 days. what was the total distance in 32 miles, she walked in the 5 days?

Answers

9/12 times 5 is 45/ 60 which is equal to 3/4 of a mile. I’m afraid I didn’t understand the question but I hope this helps.

Melina covered 15/4 miles in 5 days.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Melina walked 9/12 mile day.

If she walked 5 days then she covers

= 5 x 9/12

= 45/12

=15/4

Hence, 15/4 miles covered in 5 days.

Learn more about Unitary Method here:

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PLZ HELP.ONLY ANSWER IF YOUR 100% SURE. which equation represents a non proportional situation? A. y = 4x B. y = 5x - 1 C. y = 16x D. y = -8x

Answers

y = 5x - 1

-1 is a y-intercept

if there is a y-intercept, it is non proportional


Hope I helped

Let me know if you need anything else!

~ Zoe
the answer is b because the y-intercept is -1

if 100 envelopes cost 70 cents, how much would 250 cost?

Answers

1.75! If you add together 200, and then half of 100, it’s easy!

an investment is expected to pay 5 per year compounded continuously. If you want the value of the investment to be $700,000 after 25 years, how much should you invest initially? Round to the nearest dollar

Answers

The multiplier for continuous compounding is e^(rt). You want
  700,000 = P·e^(0.05·25) ≈ 3.490343P
Then
  700,000/3.490343 = P

You should invest $200,553 initially.

FIND.......16 2/3 % of 96 lamps

Answers

Convert percentage to fraction by dividing by 100
16 2/3 = 16 2/3 ÷ 100 = 1/6

16 2/3 % of 96 = 1/6 x 96 = 16

Ans: 16 2/3 % of 96 lamps = 16

A rectangular pool is 12m long and 6m wide. A walkway of uniform width surrounds the pool. If the area of the walkway is 9m squared less than that of the pool, how wide is the walkway?

Answers

The walkway is 1.5 m wide.

The area of the pool is 12(6) = 72 m².

Adding a walkway of unknown width, x, around all 4 sides of the pool increases the width by 2x and the length by 2x; thus the area of the entire pool and walkway together would be given by

(12+2x)(6+2x)

We know that the area of just the walkway is 9 m² less than the area of the pool.  This means that:

(12+2x)(6+2x)-72 = 72-9

Multiplying through we have:
12*6+12*2x+2x*6+2x*2x - 72 = 63
72 + 24x + 12x + 4x² - 72 = 63
24x + 12x + 4x² = 63
36x + 4x² = 63

Writing in standard form we have:
4x² + 36x = 63

We want to set it equal to 0 to solve, so subtract 63 from both sides:
4x² + 36x - 63 = 63 - 63
4x² + 36x - 63 = 0

Using the quadratic formula, 

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} \\ \\=\frac{-36\pm \sqrt{36^2-4(4)(-63)}}{2(4)} \\ \\=\frac{-36\pm \sqrt{1296--1008}}{8}=\frac{-36\pm \sqrt{1296+1008}}{8} \\ \\=\frac{-36\pm \sqrt{2304}}{8}=\frac{-36\pm 48}{8}=\frac{-36+48}{8}\text{ or }\frac{-36-48}{8} \\ \\=\frac{12}{8} \text{ or }\frac{-84}{8}=1.5 \text{ or }-10.5[/tex]

Since a negative width makes no sense, the walkway is 1.5 m wide.

You mix the letters S, E, M, I, T, R, O, P, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability that you select a vowel. Write your answer as a fraction in simplest form.

Answers

5/12 would be your simplest form
 5
__  is the answer hope that i helped
12

the function f(x) varies inversely with x and f(x) = 0.2 when x = 0.4.


what is f(x) when x = 1.6

Answers

Varies inversely :

f(x) = k/x

There is always a constant of variation , k to solve for using the given information. when x = 0.4 ; f(x) = 0.2

0.2 = k/0.4
0.2(0.4) = k
0.08 = k

final equation : f(x) = 0.08/x

when x = 1.6

f(x) = 0.08/1.6
f(x) = 0.05

what is the surface area of the following figure and I need work to please and thank you

Answers

[tex]\bf \textit{total surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} h=height\\ r=radius\\ -----\\ r=4\\ h=11 \end{cases}\implies SA=2\pi (4)(11+4) \\\\\\ SA=8\pi (15)\implies SA=120\pi [/tex]
the answer is C. 376.8 cm² 

Savanna had 40 iris blooms last year. This year she had 15% more iris blooms. How many more iris blooms did Savanna have this year?

Answers

40*15%=6

40+15%=46

hope one of these helped
To solve this problem what you can do is the following rule of three:
 40 iris blooms -----> 100%
 x iris blooms -------> 115%
 Clearing the value of x we have:
 x = (115/100) * (40)
 x = 46
 Then, comparing with last year we have:
 40-46 = 6
 Answer: 
 Savanna had this year 6 more iris blooms than last year.

Can someone help me please!!

Answers

To factor a trinomial, first we should factor out the GCF, or greatest common factor, shared by all of the coefficients and constants.  The greatest common factor of -3, -21, and -30 is -3, therefore, this is the number we must factor out first.

When we factor out the GCF of -3, we get:
-3(q^2 + 7q + 10)

Next, we must look for two numbers that will serve as coefficients for the variables in factored form.  These two numbers must add to 7 (the middle term) and multiply to 10 (the constant or last term).  The two numbers that satisfy these parameters are 5 and 2.

Therefore, we must use these numbers to create factors of the innermost factor that we have left, to get:

-3(q+5)(q+2)

The above expression is your final answer, because you cannot factor any more.  And remember: you can always check to make sure that your factoring is correct by multiplying out the factors and making sure you get your original trinomial.

I hope this helps!

Evaluate the expression 28C14

Answers

For choose notation, you...
xCy = x! / (x-y)! y!
! means factorial

(28 x 27 x 26...x 3 x 2 x 1)/(14 x 13 x 12...x 3 x 2 x 1)(14 x 13 x 12...x 3 x 2 x 1) = 40116600

About 70% of Earth's surface is covered by water. If the diameter of earth is about 12,750km, find the area not covered by water to the nearest 100,000km^2.

Answers

A ≈ 0.30πd² ≈ 153,200,000 km²

What is the approximate volume of a cylinder with a radius of 2 centimeters and height of 10 centimeters? Drag and drop the answer into the box.


A. 125.6

B. 251.3

C. 502.7

D. 1005.3

Answers

Formula
V = pi * r^2 h

where
V = ??
pi = 3.14
r =  2 cm
h = 10 cm
V = 3.14 * 2*2 * 10
V = 3.14 * 4 * 10
V = 125.6 cm^3 
Choice A <<<<====

Answer:

125.6

Step-by-step explanation:

Mark’s salary is $900 per month. What is his yearly salary? $

Answers

His yearly salary is 10,800
900$*12months=10,800$

math teacher doesn't explain this very well, please help solve.

Answers

a) Since we know they have equal perimeters, we can set them equal to each other. First, let's recap the perimeters of squares and triangles (s = side):
[tex]P_s = 4s/tex]
[tex]P_t = 3s=s+s+s[/tex]

Now, we can set up our equation:
[tex]4(x-3) = 8 + x + x[/tex]
[tex]4x-12 = 8+2x[/tex]

We can solve for x:
[tex]2x-12=8[/tex]
[tex]2x = 20[/tex]
[tex]x = \frac{20}{2} = 10[/tex]

So, x = 10.

b) We known the perimeter formulas and we have what x is. So, let's just plug and chug.
Square:
[tex]4(x-3) = 4(10-3) = 40-12 = 28[/tex]
So, the perimeter of the square is 28 units².
Since their perimeters are equal the perimeter of the triangle is also 28 units²
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