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Tju [1.3M]
3 years ago
12

8x^2+5=22x Need help learning factoring please put work so I can understand

Mathematics
1 answer:
sp2606 [1]3 years ago
5 0

Answer: (2x - 5) • (4x - 1)

STEP 1 : Equation at the end of step 1

(23x2 - 22x) + 5

STEP 2 : Trying to factor by splitting the middle term

2.1 Factoring 8x2-22x+5

The first term is, 8x2 its coefficient is 8 .

The middle term is, -22x its coefficient is -22 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40

Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .

-40 + -1 = -41

-20 + -2 = -22 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2

8x2 - 20x - 2x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (2x-5)

Add up the last 2 terms, pulling out common factors :

1 • (2x-5)

Step-5 : Add up the four terms of step 4 :

(4x-1) • (2x-5)

Which is the desired factorization

Final result : (2x - 5) • (4x - 1)

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There are 267 students and 21 adults going on a field trip an equal number of people will ride on each bus there are 9 buses how
DiKsa [7]

Answer:

The number of people on each bus is 32

Step-by-step explanation:

We are given

Total number of students =267

Total number of adults =21

So,

Total number of passengers = ( Total number of students)+(Total number of adults)

now, we can plug values

Total number of passengers =267+21

Total number of passengers =288

We are given

Number of buses=9

so,

Number of passengers on each bus = (total number of passengers)/( Number of buses)

now, we can plug values

Number of passengers on each bus  is

=\frac{288}{9}

=32

So,

The number of people on each bus is 32


6 0
3 years ago
Help me out 3 i need some help :(
Alenkinab [10]

Answer:

The first one

Step-by-step explanation:

Since only the first session is $10, it wouldn't be 10x.

The second session is $5, and it will never be $10 again, so $5 sessions are unlimited which would be 5x.

So the answer is y = 10 + 5x

(sorry if i didnt explain well)

8 0
3 years ago
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. they decided to spli
Savatey [412]

Answer:

A,  c(excluding tip, if the tip is included then c is not the answer)

Step-by-step explanation:

I solved the Equations:

A)1/8(x+16)=76/8----60  (this is the correct answer!)

B)1/8(x+16=76)------ 592  (NOT the correct answer

c)x=60 Represents total food bill excluding tip

d) x=60 does represent each friends share of the food bill

E) not correct

5 0
3 years ago
calcular el valor de la fuerza desconocida en cada gráfico, si el sistema esta en equilibrio (les pongo coronita :c ayuda porfaa
blondinia [14]

Answer:

7. F=24N

8. P=16N

Step-by-step explanation:

the sum of all forces will equals 0

8 0
2 years ago
What is the equation for 5 units left and 3 units up from f(x)=x
erastovalidia [21]

The new equation after shifting will be:

g(x) = (x+5)+3\\g(x) = x + 8

Step-by-step explanation:

Function trnafomations upward and left are defined as:

Upward:

f(x) => f(x)+b where b is an integer

Left:

f(x) => f(x+b) where b is an integers

Given function is:

f(x) = x

Shifting the function 5 units left

g(x) = f(x+5) => x+5\\g(x) = x+5

Shifting the function upward 2 units

So,

g(x) = (x+5)+3\\g(x) = x + 8

The new equation after shifting will be:

g(x) = (x+5)+3\\g(x) = x + 8

Keywords: Functions, shifting

Learn more about functions at:

  • brainly.com/question/4054269
  • brainly.com/question/4163549

#LearnwithBrainly

3 0
3 years ago
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