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
AlladinOne [14]
3 years ago
14

Multiply. (3x + 2)(3x - 2) A. x² + 12x- 4 B. 9x² – 12x - 4 c. 9x - 4 D. 9x² + 4

Mathematics
1 answer:
Artemon [7]3 years ago
5 0

Answer: 9x²-4

Step-by-step explanation:

To solve use the formula (known as the difference of squares) a²-b²=(a+b)(a-b) and substitute a with 3x and b with 2 and then substitute to find: (3x)²-2²= 9x²-4

You might be interested in
The senate in a certain state is comprised of 51 republicans, 48 democrats, and 1 independent. How many committees can be formed
Sedaia [141]
17 since 51 goes into 3 17 times and 2 goes into 48 24 times and 17 is the largest number that can have 3 republicans and 2 democrats. The andwer would be 17 comittees,
5 0
3 years ago
A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len
Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

Recall that: L=3W - 12

L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

4 0
3 years ago
The nicotine content in a single cigarette of a particular brand has a distribution with mean 0.9 mg and standard deviation 0.1
Ad libitum [116K]

Answer:

The answer to the question is;

The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.

Step-by-step explanation:

The mean of the distribution = 0.9 mg

The standard deviation of the sample = 0.1 mg

The size of the sample = 100

The mean of he sample = 0.89

The z score for sample mean is given by

Z =\frac{X-\mu}{\sigma/ \sqrt{n} } where

X = Mean of the sample

μ = Mean of the population

σ = Standard deviation of the population

Therefore Z = \frac{0.89-0.90}{0.1/\sqrt{100} } = -1

From the standard probabilities table we have the probability for  a z value of -1.0 = 0.1587

Therefore the probability that the resulting sample mean will be less than 0.89 = 0.1587 That is the probability that the mean is will be less than 0.89 is 15.87 % probability.

             

7 0
3 years ago
Find the surface area of the cube shown.<br> (_________) square centimeters
Step2247 [10]

Answer:

The answer is: 181.5 square centimeters.

Step-by-step explanation:

The cube has six faces, and each face is a square with sides of length 5.5, so the area of one of this faces is 5.5^2=30.25, adding the six faces, we get the answer: A=6\times 30.25=181.5

5 0
3 years ago
Read 2 more answers
The graph for the equation y=-2x+1 is shown below.
Tpy6a [65]

Answer:

Step-by-step explanation:

Given the equation y=-2x+1 and given another equation y=mx+b in order for us to have no solution we must guarantee that both lines do not intersect. Recall that m is the slope of the second equation and b the y-intercept. To guarantee that both lines don't intersect, they must be parallel. To have this result, we must have that they have the same slope but different y intercept. That is take m = -2 and b any value different to +1. For example, the b = 6. So

y = -2x+6 = -2(x-3) is another equation that gives no solution to the system.

3 0
3 years ago
Other questions:
  • A Town had about 2120 acres of Pinetree’s 40 years ago only about 13 of the Pinetree‘s remain how many acres of Pinetree’s remai
    8·1 answer
  • 14.) Find the slope and y-intercept of the line.
    13·1 answer
  • Who would you solve 8x+-2y-10
    5·1 answer
  • What is the equation of the line that has a y intercept of (0,-3) and passes the point (-9,-9)
    7·1 answer
  • The mean of a set of credit scores is 4= 690 and g= 14. Which statement must be true?
    14·2 answers
  • Troy is building a ramp for his toy cars. The plank he is using for the ramp is 8 feet long and is placed on a 2-foot-high box.
    8·1 answer
  • Square HIJK has a side length of 8 centimeters. Find the area of the square. Type a numerical answer in the space
    9·1 answer
  • Using intervals of width 10, hown
    8·1 answer
  • What is an equation of the line that passes through the point (8, 2) and is parallel to
    14·1 answer
  • Need help! What’s x, and what is the equation?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!