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
zaharov [31]
3 years ago
13

Which equation represents a line that passes through two points in the table

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0
C. y - 3 = 2/3(x-3)

Nothing much to do here except examine each equation and plug in the numbers to see if it's true.

a. y + 3 = 3/2(x+3)
Try 3,3
3 + 3 = 3/2(3+3)
6 = 3/2(6). And no need to go further, it's obviously not equal.

b. y - 3 = 3/2(x-3)
Try 3,3
3 - 3 = 3/2(3-3)
0 = 3/2(0). OK. Let's try 6,5
5 - 3 = 3/2(6-3)
2 = 3/2(3)
2 = 9/2 And it's not true, so check the next one.

c. y - 3 = 2/3(x-3)
Try 3,3
3 - 3 = 2/3(3-3)
0 = 0. Check 6,5
5 - 3 = 2/3(6-3)
2 = 2/3(3)
2 = 2. Good. Both sample points work. This is the correct answer.
Just to be sure, let's check the next option

d. y + 3 = 2/3(x+3)
Try 3,3
3 + 3 = 2/3(3+3)
6 = 2/3(6). And doesn't match.

You might be interested in
Evaluate a + b for a = 12 and b = 6.
den301095 [7]

Answer:

Here,

a= 12

b = 6

Then,

a+b

= 12 + 6

= 18

.°. 18 is the solution

3 0
3 years ago
Read 2 more answers
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter
VMariaS [17]

Answer:

He must survey 123 adults.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

Assume that a recent survey suggests that about 87​% of adults have heard of the brand.

This means that \pi = 0.87

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How many adults must he survey in order to be 90​% confident that his estimate is within five percentage points of the true population​ percentage?

This is n for which M = 0.05. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}

0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}

\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2

n = 122.4

Rounding up:

He must survey 123 adults.

6 0
2 years ago
Evaluate the expression for the given value of the variable.
MatroZZZ [7]

Answer:

17

Step-by-step explanation:

24/t  + t^2

Let t=3

24/3  + 3^2

8 + 9

17

5 0
2 years ago
Read 2 more answers
Given that AB:BC is 4:3 and AC = 56. Find AB.<br> A<br> B
Phantasy [73]

Answer:

ab=32

Step-by-step explanation:

ab:bc

4:3

abc= 56

4+3=7

56÷7=8

ab= 8x4=32

bc=8x3=24 #

3 0
2 years ago
Find the volume of each sphere. Be sure to include appropriate units.<br> (Show your work)
babunello [35]

Answer:

2145.5m^3

679.2yard

Step-by-step explanation:

v

volume \: of \: a \: sphere =  \frac{4}{3}\pi \: r {}^{3}  \\ when \: r = 8 \\ volume =  \frac{4}{3}  \times  \frac{22}{7}  \times 8 {}^{3}  \\ volume =  \frac{4}{3}  \times  \frac{22}{7} \times 8 \times 8 \times 8 \\ volume =  \frac{4 \times 22 \times 512}{3 \times 7}   \\ volume =  \frac{45056}{21}  \\ volume = 2145.5m {}^{3}  \\  \\ for \: the \: second \: shape \\ volume =  \frac{4}{3}  \times  \frac{22}{7}  \times 5.5 {}^{3}  \\  =  \frac{4}{3}  \times  \frac{22}{7}  \times 166.373 \\  =  \frac{14641}{21}  \\  = 697.2yard

6 0
2 years ago
Other questions:
  • Jack made $30 mowing lawns in May and $72 mowing lawns in June. By what percent did the amount of money Jack made mowing lawns i
    11·1 answer
  • 2.<br> Which is the largest of these fractions?<br> A. 7/15<br> B. 4/9<br> C. 6/11
    10·2 answers
  • The reciprocal of a fraction less than 1 is always a fraction greater than 1.why is this?
    15·1 answer
  • -8 + (-4)<br> please help me find the answer 20 pts
    13·2 answers
  • What is the area of the 6 circles all together? Find the diameter of each circle, divide that by 2 to find the radius. Use the a
    12·2 answers
  • The sales tax rate is 8.2%. Estimate the sales tax on a computer that costs $550.
    8·2 answers
  • It costs you $22.25 per day to rent a car in New York City. In addition, you have to pay 16 cents for every mile you travel. How
    12·1 answer
  • Milly wants to buy this seated Elliptical for 169.99 (regularly 250.00)
    5·1 answer
  • PLEASE HELPP Write the equation of the line fully simplified slope-intercept form.
    5·1 answer
  • 6.55743... is an irrational number because it is an
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!