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
gogolik [260]
1 year ago
5

Write the equation of the line passing through the point (a, b) and having a slope m.​

Mathematics
1 answer:
allochka39001 [22]1 year ago
3 0

The equation of the line is b = am + c

<h3>What are linear equations?</h3>

Linear equations are equations that have a constant slope, average rate of change or gradients

<h3>How to determine the line equation?</h3>

The point is given as

(x, y) = (a, b)

The slope is given as

Slope = m

A linear equation is represented as

y = mx + c

Where me represents the slope

Substitute (x, y) = (a, b)

b = am + c

Hence, the equation of the line is b = am + c

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

You might be interested in
2x + 2y = 2, 2(x + y) = 10}
Dima020 [189]
X will equal 5
y will equal 0
8 0
3 years ago
1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.
gavmur [86]

Answer:

A(x) = 12000(1.04)^x

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that P = 12000

Compounded at 4% interest annually.

This means that r = 0.04, n = 1

What equation will calculate the value in x years?

A(t) = P(1 + \frac{r}{n})^{nt}

A(x) = P(1 + \frac{r}{n})^{nx}

A(x) = 12000(1 + 0.04)^x

A(x) = 12000(1.04)^x

8 0
2 years ago
Frankie the frog stands at the number 0 on a number line and wants to hop to the number 8. he can hop 1, 2, 3 units forward in a
ycow [4]

In order to hop 8 units, you can do:

1 two-units hops, 2 three-units hops

4 two-units hops

1 one-unit hops, 2 two-units hops, 1 three-units hops

2 one-unit hops, 2 three-units hops

2 one-unit hops, 3 two-units hops

3 one-unit hops, 1 two-units hops, 1 three-units hops

4 one-unit hops, 2 two-units hops

5 one-unit hops, 1 three-units hops

6 one-unit hops, 1 two-units hops

8 one-unit hops


7 0
3 years ago
(a) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 regist
Sladkaya [172]

Answer:

n=9604

Step-by-step explanation:

1) Notation and definitions

X=620 number of people that would vote for the Republican candidate

n=1200 random sample taken

\hat p=\frac{620}{1200}=0.517 estimated proportion of people that would vote for the Republican candidate

p true population proportion of people that would vote for the Republican candidate

Me= 0.01 represent th margin of error.

Confidence =0.95 or 95%

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1- p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

The problem says that we need to use \hat p =0.05, and replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.96})^2}=9604  

And rounded we have that n=9604

6 0
3 years ago
Which place value would you look at to compare 225,and 225,988?
mezya [45]
In the hundreds place the tend place and the ones place. hopes this helps?!
7 0
3 years ago
Read 2 more answers
Other questions:
  • Given a=-3 and b=4 and c=-5, evaluate |c-a-b|. <br><br> Answer: <br> 2<br> 4<br> 6
    9·1 answer
  • A1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16. a1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16.
    8·1 answer
  • How to find the new interquartile range of the numbers 9,10,11,12,16,20,20
    7·2 answers
  • ____ is equal to its arc
    14·1 answer
  • How many many times 144 goes in to 12
    9·2 answers
  • Plz answer asap ! i would really appreciate it!
    7·1 answer
  • Analyze the linear inequalities and determine if the solution set is the shaded region above or below the boundary
    9·1 answer
  • I need help on thesis promblem please
    8·1 answer
  • Multiple choice: what is the answer?
    11·2 answers
  • Solve for X<br> (24x – 19)<br> (16х + 13)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!