Select the correct answer. Factor the expression. A. (7x − 4)(7x − 4) B. (4x − 7)(4x − 7) C. (7x + 4)(7x − 4) D. (4x + 7)(4x − 7)
Answers
Answer:
C. (7x + 4)(7x − 4)
Step-by-step explanation:
Given expression:
49x² - 16
Using difference of two squares:
A² - B² = (A + B)(A - B)
49x² - 16 = (7x)² - (4)²
= (7x + 4)(7x - 4)
C. (7x + 4)(7x − 4)
Check:
(7x + 4)(7x − 4)
Open parenthesis
= 49x² - 28x + 28x - 16
= 49x² - 16
Related Questions
CheckWhat is the slope of the line on the graph?X-22.4-2-4
Order these numbers from least to greatest. −10.7 , −113 , 10710 , −12011
Write the equation of a line that is parallel to the following:1. x = 52. y = -3
∡1 and ∡2 are vertical angles. If m∡1 = 64°, find m∡2
4 12
5 15
6 18
Equation: y = 3x
Which representation has the greatest slope?
The equation has the greatest slope.
The table has the greatest slope.
The table and equation have the same slope.
Their slopes cannot be determined.
Answers
Answer:
The table and equation have the same slope
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
Step 1
Find the slope of the table
we have
Substitute the values
Step 2
Find the slope of the equation
we have
------> the equation represent a linear direct variation
The slope is equal to
therefore
The table and equation have the same slope
Answer:
the table and equation have the same slope
Step-by-step explanation:
took the test and got a 100% :)
Answers
Answer:
The answer is skewed distribution.
Step-by-step explanation:
Which phrase accurately describes a distribution that's bell-shaped but not symmetric?
Skewness is defined as asymmetry in a statistical distribution where the curve appears distorted or skewed either to the left or to the right, but not in the center.
When distributions possess a bell shape but is not centered, then they are called skewed distributions.
Answers
Answer:
75 days
Step-by-step explanation:
So the total we need is $60.00, and if she Jamie gets $4 every 5 days, first I would divide 60 by 4. I get 15, so I need to do 15*5 to get 75, because the 15 stands for 15 sets of 5 days. The answer is 75. Hope this helps, and my explanation wasn't too confusing!
Answer:
15 days
Step-by-step explanation:
Answers
Answer:
The next number in the sequence is 1/9
Step-by-step explanation:
The sequence you present is a geometric sequence. Geometric sequences are sequences in which successive terms are increases/decreases of an initial number by a common constant factor and are defined as
An= A0*r^(n-1)
The nth term of the sequence is the first term A1 multiplied by a common factor r.
In your problem A1 is 9. The common factor between terms is 1/3 because
9* (1/3) = 9/3= 3
3* (1/3) = 9/3= 1
1* (1/3) = 1/3= 1/3
So the fifth term n= 5 is
An= A0*r^(n-1)
A5=9*(1/3)^(5-1) =9*(1/3)^(4) =9*(1/81)=9/81= 1/9
The answer is 1/9
The next number in the sequence is 1/9.
The sequence provided is 9, 3, 1, 1/3. To identify the pattern and find the next number in the sequence, we observe that each subsequent term is obtained by dividing the previous term by 3.
9 ÷ 3 = 3
3 ÷ 3 = 1
1 ÷ 3 = 1/3
Therefore, the pattern suggests that we should divide the last term, 1/3, by 3 to find the next number:
(1/3) ÷ 3 = 1/9
Learn more about Sequence here:
#SPJ6
Answers
Therefore, g's family will receive income for 10 years.
Final answer:
If G, who bought a family income policy with a 20 years rider at age 40, dies at age 50, his family would continue to receive income for another 10 years, which is the remaining period of the policy.
Explanation:
The question refers to a family income policy, which is a type of life insurance. In this situation, G bought a policy at the age of 40 which includes a term life insurance policy and a decreasing term rider of 20 years. If G were to die at age 50, the remaining term of the rider would dictate how much longer the family receives income. As G has held the policy for 10 years, there would be another 10 years remaining on the policy. Therefore, G's family would continue to receive an income for an additional 10 years after G's death.
Learn more about Family Income Policy here:
#SPJ6
Answers
y = 10 + 3.5x
y = 6x
Then, both right sides are equal to each other:
6x = 10 +3.5x
6x - 3.5x = 10
2.5x = 10
x = 10/2.5 = 4
And:
y = 6(4) = 24.
Answer: They both rented the bikes for 4 hours and paid $ 24.
y = 10 + 3.5 * x
y = 6 * x
_____________
10 + 3.5 * x = 6 * x
10 = 6 * x - 3.5 * x
10 = 2.5 * x
x = 10 / 2.5
x = 4 hours
y = 6 * x = 6 * 4 = 24 dollars
y = 10 + 3.5 * x = 10 + 3.5 * 4 = 24 dollars
They both paid 24 dollars for 4 hours.