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kirill [66]
3 years ago
5

Write the slope-intercept form of the equation of the line through the given points. (0,3) and (-4 -1)

Mathematics
1 answer:
Scilla [17]3 years ago
7 0

Answer:

<h2>y = x + 3</h2>

Step-by-step explanation:

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept → (0, b)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-4, -1) and (0, 3) → b = 3.

Calculate the slope:

m=\dfrac{3-(-1)}{0-(-4)}=\dfrac{4}{4}=1

Therefore we have the equation:

y = 1x + 3

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A sequence can be generated by using fn = 2f(n-1)+1, where f1 = 4 and n is a whole number greater than 1. What are the first fou
hoa [83]

Answer:

<em>{9,19,39,79}</em>

Step-by-step explanation:

<u>Recursive Sequences</u>

The recursive sequence can be identified because each term is given as a function of one or more of the previous terms. Being n an integer greater than 1, then:

f(n) = 2f(n-1)+1

f(1) = 4

To find the first four terms of the sequence, we set n to the values {2,3,4,5}

  • For n=2

f(2) = 2f(1)+1

Since f(1)=4:

f(2) = 2*4+1

f(2) = 9

  • For n=3

f(3) = 2f(2)+1

Since f(2)=9:

f(3) = 2*9+1

f(3) = 19

  • For n=4

f(4) = 2f(3)+1

Since f(3)=19:

f(4) = 2*19+1

f(4) = 39

  • For n=5

f(5) = 2f(4)+1

Since f(4)=39:

f(5) = 2*39+1

f(5) = 79

4 0
3 years ago
Your parents gave you a gift card for your favorite coffee shop. The card was worth $50
meriva

Answer:

y=-3x+50

Step-by-step explanation:

y=50-3x ,where x is number of days.

6 0
3 years ago
Suppose you write a sum of numbers as a product of their GCF and another sum. What is the GCF of the numbers in the other sum? C
vivado [14]

Answer:

1

Step-by-step explanation:

7 0
2 years ago
Two equations are given below: a – 3b = 9 a = b – 3 What is the solution to the set of equations in the form (a, b)?
Vilka [71]
A-3b=9
a=b-3

b-3-3b=9
-2b-3=9
-2b=12
2b=-12
b=-6

a=-6-3
a=-9

Solution: (-9,-6)
----
Check: 
-9=-6-3
-9=-9
TRUE


7 0
3 years ago
Read 2 more answers
You buy a calculator for $65. A 6% sales tax is added.
Vika [28.1K]
T=65$+(65$*.06)
T=65$+3.9$
T=68.9$
4 0
2 years ago
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