1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex17521 [72]
3 years ago
5

Which of the binomials below is a factor of this trinomial? URGENT!!!

Mathematics
2 answers:
dangina [55]3 years ago
5 0

Answer:

C

Step-by-step explanation:

10×-28=-280

35-8=27

35×(-8)=-280

10x²+27x-28

=10x²+(35-8) x-28

=10x²+35x-8x-28

=5x(2x+7)-4(2x+7)

=(2x+7)(5x-4)

Stolb23 [73]3 years ago
3 0
<h3>Answer: C) 2x+7</h3>

=========================================================

Explanation:

One way we can factor is through use the of the quadratic formula.

Let 10x^2+27x-28 = 0

For now, the goal is to find the two roots of that equation.

Plug a = 10, b = 27, c = -28 into the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(27)\pm\sqrt{(27)^2-4(10)(-28)}}{2(10)}\\\\x = \frac{-27\pm\sqrt{1849}}{20}\\\\x = \frac{-27\pm43}{20}\\\\x = \frac{-27+43}{20} \ \text{ or } \  x = \frac{-27-43}{20}\\\\x = \frac{16}{20} \ \text{ or } \ x = \frac{-70}{20}\\\\x = \frac{4}{5} \ \text{ or } \ x = -\frac{7}{2}\\\\

The two roots are x = 4/5 and x = -7/2

For each root, rearrange the equation so we have 0 on the right hand side, and it's ideal to get rid of the fractions

x = 4/5

5x = 4

5x-4 = 0 gives us one factor

and

x = -7/2

2x = -7

2x+7 = 0 gives the other factor

The two factors are 5x-4 and 2x+7

Note how (5x-4)(2x+7) = 0 leads to the two separate equations of 5x-4 = 0 and 2x+7 = 0 due to the zero product property. Solving each individual equation leads to the two roots we found earlier.

Alternative methods to solve this problem are the AC factoring method (which leads to factor by grouping), using the box method, or you could use guess and check.

You might be interested in
Find the total surface area of the following cone. Leave your answer in terms of Pi. 4cm 3cm
castortr0y [4]

The triangle formed from the height of the cone and the radius of its base is a special 3,4,5 triangle. The slant height is 5cm.

Recall that the area of a circle = pi*r^2

Substitute 3 in for r

Area = pi * (3)^2 = 9pi

SA = pi*r*l + B

Substitute our values into the equation

SA = pi * 3 * 5 + 9pi

SA = 15pi + 9pi

SA = 24pi cm^2

5 0
2 years ago
The solution set for -18 &lt; 5x - 3 is
tensa zangetsu [6.8K]

Answer:

Hope this helps

Step-by-step explanation:


6 0
3 years ago
How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixe
Fantom [35]

The amount of cashew mixed is 5 pounds

<h3>Word problem on total cost</h3>

Cost of 1 pound of cashew = $14

Cost of 1 pound of peanut = $6.50

Total cost of 1 pound of the mixed nuts = $10.25

Cost of 5 pounds of peanuts = 5 x $6.50

Cost of 5 pounds of peanuts = $32.50

Let the amount of cashew  be x

Total cost of x cashew = 14x

Total amount of the mixed nuts = x + 5

Total cost of the mixed nuts = 10.25(x+5)

Total cost of the mixed nuts = 10.25x + 51.25

14x  +  32.50  =  10.25x  +  51.25

14x - 10.25x  =  51.25  -  32.50

3.75x  =  18.75

x  =  18.75/3.75

x  =  5

Therefore, the amount of cashew mixed is 5 pounds

Learn more on word problem on cost here: brainly.com/question/21405634

#SPJ1

8 0
2 years ago
Read 2 more answers
Would love it if someone helped with this question please...
nikklg [1K]

Answer:

$40.00

Step-by-step explanation:

to find the cost multiply the cost per unit by the number of units: 10/6 x 24 = 40

5 0
3 years ago
Read 2 more answers
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 3 tables is $31.the total cost to ren
san4es73 [151]

Answer:

$1.25 & $10.25

Step-by-step explanation:

Let c be the cost of renting one chair and t be the cost of renting table. We're given two equations:

#1. 5c + 3t = 37

#2. 2c + 6t =64

We have a system of equations. Using our system of equations calculator, we can solve this problem any of 3 ways below:

  • Chairs (c) cost $1.25
  • Tables (t) cost $10.25
6 0
3 years ago
Other questions:
  • Can you evaluate 6x-3y-3x?
    6·1 answer
  • Which describes the graph of the function between x = 4 and x = 8 ?
    10·1 answer
  • Help please!!
    7·2 answers
  • A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P′Q′⎯⎯⎯⎯⎯⎯⎯⎯ , A′B′⎯⎯⎯
    13·2 answers
  • Logx(x-3)=1 solve for x
    11·1 answer
  • Please help!!! I will vote BRAINLIEST<br> What is the value of k?
    15·1 answer
  • Triangle EFG is dilated by a scale factor of \frac{2}{3}
    7·1 answer
  • PLEASE HURRY! When two fractions less than 1 are divided, is their quotient always, sometimes or never greater than 1? Explain.
    5·2 answers
  • Lamar wanted to explain why the measure of angle 5 is equal to the sum of the measures of angles 1 and 3. A triangle with angles
    13·1 answer
  • Countries that do not have enough resources to meet the needs of their population are said to be suffering from what?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!