answer.
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
emmasim [6.3K]
2 years ago
14

he polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out.

What is the common binomial factor between the two groups after their GCFs have been factored out?
Mathematics
2 answers:
eimsori [14]2 years ago
7 0

Answer:

x² + 2

Step-by-step explanation:

Dafna11 [192]2 years ago
5 0
We take GCF by factoring out the algebraic expression.
2x³ + 4x is factored out into 2x(x² + 2) and
−5x² − 10 is factored out into −5(x² + 2)
Therefore the common binomial factor is x² + 2
You might be interested in
The bagel shop sells special bagel sandwiches for $7 and plain bagels for $2. Last saturday, they sold 100 items and made $385.
zloy xaker [14]

Answer:

Number of special bagel sandwiches = 37

Step-by-step explanation:

Let x,y denote number of special bagel sandwiches and plain bagels respectively.

The bagel shop sold 100 items.

x+y=100\\y=100-x

Also, The bagel shop made $385.

7x+2y=385

Put y=100-x in 7x+2y=385

7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37

So,

Number of special bagel sandwiches = 37

5 0
2 years ago
What input value produces the same output value for the two functions on the graph ?
Andrej [43]

we know that

The intersection point of both graphs is a common point for both functions, for which for the same input value, both functions will have the same output value.

so

the point of intersection is (4,3)

for an input value equal to 4

the output value for both functions is 3

therefore

<u>the answer is the option</u>

X= 4

4 0
2 years ago
Read 2 more answers
You have 64 coins, consisting of pennies, nickels, and quarters. The value of
Romashka-Z-Leto [24]

Answer:

There are 20 pennies, 33 nickels and 11 quarters

Step-by-step explanation:

- You have 64 coins, consisting of pennies, nickels, and quarters

- The value of  the coins is $4.60

- Assume that there are p pennies, n nickles, and q quarters

∴ p + n + q = 64 ⇒ (1)

- Lets find the value of each types of coins

∵ 1 penny = 1 cent ⇒ p = p cents

∵ 1 nickel = 5 cents ⇒ n = 5n cents

∵ 1 quarter = 25 cents ⇒ q = 25q cents

∵ 1 dollar = 100 cents ⇒ $4.60 = 4.60 × 100 = 460 cents

∴ p + 5n + 25q = 460 ⇒ (2)

- You also know that you have three times as many nickels as  quarters

∴ n = 3q ⇒ (3) ⇒ the number of nickles by quarters

∵ 5n = 5(3q)

∴ 5n = 15q ⇒ (4) ⇒ the values of nickles by quarters

- Substitute (3) in equation (1) and (4) in equation (2)

∴ p + 3q + q = 64

∴ p + 4q = 64 ⇒ (5)

∴ p + 15q + 25q = 460

∴ p + 40q = 460 ⇒ (6)

- Subtract equation (5) from equation(6) to eliminate p

∴ 36q = 396

- Divide both sides by 36

∴ q = 11

- Substitute the value of q in equation (5)

∴ p + 4(11) = 64

∴ p + 44 = 64

- Subtract 44 from both sides

∴ p = 20

- Substitute the value of q in (3)

∴ n = 3(11) = 33

∴ n = 33

<em>There are 20 pennies, 33 nickels and 11 quarters</em>

6 0
2 years ago
Read 2 more answers
Wyatt went to soda city to get vegetables for herself and her friends. She collected $30 and boxes are $10 each. Fill in the equ
sergey [27]

Answer:

Budget = 3 b

Step-by-step explanation:

Given

Budget = \$30

Cost\ of\ box (b) = \$10

Required

Represent as an equation;

Budget = \$30

Expand the above

Budget = 3 * \$10

<em>Recall that b = $10 ----given</em>

Budget = 3 * \$10 becomes

Budget = 3 * b

Budget = 3 b

7 0
2 years ago
If c (x) = StartFraction 5 Over x minus 2 EndFraction and d(x) = x + 3, what is the domain of (cd)(x)?
Volgvan

Answer:

The domain of the function (cd)(x) will be all real values of x except x = 2.

Step-by-step explanation:

The two functions are c(x) = \frac{5}{x - 2} and d(x) = x + 3

So, (cd)(x) = (\frac{5}{x - 2})(x + 3) = \frac{5(x + 3)}{x - 2}

Then, for x = 2 the function (cd)(x) will be undefined as zero in the denominator will make the function (cd)(x) undefined.

Therefore, the domain of the function (cd)(x) will be all real values of x except x = 2. (Answer)

8 0
2 years ago
Read 2 more answers
Other questions:
  • Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 year
    13·2 answers
  • Organic milk costs $2.52 per half gallon. At this rate, how can the price of 4 gallons of organic milk be determined?
    15·2 answers
  • A spinner is divided into four equal sections labeled 1, 2, 3, and 4. Another spinner is divided into three equal sections label
    5·1 answer
  • Adam is building a rectangular swimming pool. The perimeter of the pool must be no more than 120 feet. If the length of the pool
    13·1 answer
  • Find the volume of a cylinder with a diameter of 8 inches and a height that is three times radius
    7·2 answers
  • Type the correct answer in the box. Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangul
    14·2 answers
  • HELP FAST PLEASE
    11·1 answer
  • A retail store owner offers a discount on product A and predicts that, the customers would purchase products B and C in addition
    9·1 answer
  • A factory received a shipment of 38 sprockets, and the vendor who sold the items knows there are 5 sprockets in the shipment tha
    12·1 answer
  • Through bond sales, a nation's central bank pulls money out of circulation. One of the short-term effects is to drive the price
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!