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
qwelly [4]
3 years ago
14

Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b,

what is the value of b? 1. -15 2. -9 3. 3 4. 9
Mathematics
2 answers:
seropon [69]3 years ago
3 0

Answer:

-9

Step-by-step explanation:

What b represents here is the y intercept.

The first thing we will do here is to find the slope.

Mathematically;

m = (y2-y1)/(x2-x1)

Plugging the values;

m = (12-3)/(7-4) = 9/3 = 3

The equation can thus be written as;

y = 3x + b

To get b, we can use any of the points since they lie on the line

Let’s use point M

Substitute the values of x and y in the equation

3 = 3(4) + b

3 = 12 + b

b = 3-12 = -9

Arte-miy333 [17]3 years ago
3 0

Answer:

B) -9

Step-by-step explanation:

Please mark as brainlest!!

You might be interested in
What's 1/4,1/2,3/4,5/8,and 3/10
Daniel [21]
Hello! 

Ok so the summation of 1/4+1/2+3/4+5/8+3/10 = 97/40

we find this by finding the GCF of the set of numbers we have here. So we get 40 is the GCF. So we get:

10/40+20/40+30/40+25/40+12/40=97/40  

Hope this helps! Any questions please just ask! Thank you so much!
4 0
3 years ago
A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to d
kenny6666 [7]

Answer:

z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2    

p_v =2*P(Z>2)=0.0455  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

Step-by-step explanation:

Data given and notation  

\bar X=25 represent the sample mean

\sigma=2 represent the sample population deviation for the sample  

n=16 sample size  

\mu_o =24 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is different from 24, the system of hypothesis would be:  

Null hypothesis:\mu = 24  

Alternative hypothesis:\mu \neq 24  

If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(Z>2)=0.0455  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

6 0
3 years ago
Find f(-10).
marysya [2.9K]

Answer: -75

Explanation: In this problem, we're given the function f(x) = 7x - 5 and we're asked to find f(-10).

To find f(-10) or the value of the function when <em>x = -10</em> we simply substitute -10 in for <em>x</em> in our function.

So we have 7(-10) - 5 or -70 - 5 which equals -75.

So f(-10) or the value of the function when <em>x</em> <em>= 10</em> is -75.

Since your answer to this problem was <em>a</em>, your answer is correct.

8 0
3 years ago
This graph shows how much lisa earns babysitting compared with thge number of hours she works
madam [21]

Answer:

For every hour she earns 12$

Step-by-step explanation:

If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!

6 0
2 years ago
A rectangular garden measuring 28 m by 45 m is bordered (and surrounded) by a fence. Inside, a walk that is 4 m wide goes all th
Colt1911 [192]

Answer:

1219 square feet

Step-by-step explanation:

cause

6 0
3 years ago
Other questions:
  • Daija graphed the relationship modeled by the equation y = 4x.
    5·1 answer
  • Helpp? Please! What’s the area of this triangle?
    15·2 answers
  • 8+ negative one plus -3 as an integer
    10·1 answer
  • What is the value of 3-(-2)?
    14·2 answers
  • What is the value of x?
    11·1 answer
  • Which of the following changes is a chemical change?<br> A ice me
    11·1 answer
  • Ill mark brainlist plss help
    6·2 answers
  • A group of 10 people were shown 15 photographs. Each person was asked to choose their favourite photo, and the choices were reco
    11·1 answer
  • 12 is 50% of what?
    5·1 answer
  • A plane flies 100km north and then flies 400km south, what is its new position?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!