Answers
Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation, [tex] y = mx + b [/tex], where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4} [/tex].
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):
[tex] y = mx + b [/tex]
[tex] 1 = -\frac{3}{4}(6) + b [/tex]
[tex] 1 = -\frac{18}{4} + b [/tex]
[tex] 1 = -4.5 + b + 4.5 [/tex]
[tex] 1 + 4.5 = -4.5 + b + 4.5 [/tex]
[tex] 5.5 = b [/tex]
Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
Related Questions
If n is the least two consecutive odd integers, which of the following represents the sum of the two integer?
Answers
Answer:2n+2
Step-by-step explanation:
Gabe and Gabriella must write expressions equal to 8(3 + 5). Gabe wrote 8(5 + 3). Gabriella wrote 8(3) + 8(5). Which statement is true about these expressions?
A. Gabe used Distributive Property
B. Gabe used Associative Property
C. Gabriella used Distributive Property
D. Gabriella used Associative Property
Answers
Select the values that make the statement true.
StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p%
n =
d =
p =
Answers
Answer:
Select the values that make the statement true.
StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p%
n =
✔ 5
d =
✔ 20
p =
✔ 5
Step-by-step explanation:
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An airplane leaves a runway at an angle of 0 .when the airplane has reached an altitude of 5000 feet it has traveled 10,000 feet in the direction it took off.At what angle (0) did the airplane leave the runway ?
Answers
Answer: no
Step-by-step explanation: if it left then it would have to be angled at least a little bit.
10 and 11.Is this relation a function?
у
3
6
7 6 5 4
5
3
2
.
1
.
-2 -1
-1
1 2 3 4
g
6 7
8x
8
-2
-3
Yes, this is a function. It does pass the vertical line test.
No, this is not a function. It does NOT pass the vertical line test.
11
What is the independent variable of the following statement?
Luke
goes to the store to buy some candy, The more money he has, the more candy he will buy.
The amount of candy he buys
The amount of money he has
The store he goes to
The type of money he has
Answers
11.Number 3
I hope this helps
бx + 8 = 50
I need that answer
Answers
Answer:
=
7
Step-by-step explanation:
HURRY PLEASE HELP
What is the approximate distance from the origin to the point (−10, −4, 5)? Round to the nearest tenth. 4.4 units 10.4 units 11.9 units 19.0 units
Answers
The answer is 11.9 units
First you must set up the distance formula.
[tex]\sqrt[]{ (-10-0)^2+(-4-0)^2+(5-0)^2}[/tex]
Then, simplify like terms.
[tex]\sqrt{(-10)^2+(-4)^2+(5)^2}[/tex]
Next, simplify exponents.
[tex]\sqrt{100+16+25}[/tex]
Then, add like terms.
[tex]\sqrt{141}[/tex]
Finally, round to the nearest tenth.
11.9
The price of a pair of shoes increases from $69 to $73. What is the percent increase to the nearest percent?
Answers
Answer: 5.79% or 5.8%
Step 1: Calculate the change by subtracting old cost ($69) from the new cost ($73)
Step 2: Divide that change by the old cost ($69). You will get a decimal number
Step 3: Convert the decimal number to a percentage by multiplying by 100%
Have a great rest of your day!
HELP ASAP PLEASE!!!!!!!!
Answers
Answer:
b) in the fourth round, there was one team left in the tournament.
c) no because with only one team left, the tournament ends.
AT&T charges a connection fee of 35 cents and 3 cents per minute. Verizon charges a connection fee of 45 cents and 2 cents per minute. At how many minutes does a call cost the same no mater what company you use?
Answers
Answer:
10 Minutes
Step-by-step explanation:
At&t = 3x+35
Verizon = 2x+45
2x+45=3x+35
-2x -2x
45=x+35
-35 -35
x=10
Two parallel lines are crossed by a transversal,
What is the value of x?
x = 21
x = 28
x=35
115
x 37
Answers
Yes do you need a solution
The solution is, the value of x is, 115, as Angle x = angle 115°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
Given : Two parallel lines are crossed by a transversal.
To find : What is the value of x.
Solution : We have given Two parallel lines are crossed by a transversal.
Corresponding angles : A pair of angle that lies on the same side of the transversal line one lies on interior angle and other lies on exterior.
Corresponding angle are equal.
Then , angle x = angle 115 are corresponding.
Therefore, angle x = angle 115.
To learn more on angle click:
brainly.com/question/28451077
#SPJ7
Estimate the square root of the imperfect square of 18.
Answers
Answer:
18 times four is 72
Step-by-step explanation:
i mark as brainliest
Answers
Answer:
5 and 39/40.
Step-by-step explanation:
Chris has 12 sweets. He has 3 red, 6 blue, 1 yellow and 2 green sweets what fraction of his sweets is red Answer
Answers
Answer:
He has had a quarter of the red sweets (1/4)
Step-by-step explanation:
3/12 is 1/4 when simplified
Answer:
1/4 or 3/12
Step-by-step explanation:
There are 3 red sweets out of all the sweets (3/12).
A simplified version of 3/12 would be 1/4.
Anybody Know This Answer Well. ?
Answers
Answer:
no srry
Step-by-step explanation:
solbe for x : x-1/x+3x+3=0
Answers
Answer:
x=1/4 or x=-1
Step-by-step explanation:
x−
1
x
+3x+3=0
4x2+3x−1
x
=0
Step 1: Multiply both sides by x.
4x2+3x−1=0
(4x−1)(x+1)=0(Factor left side of equation)
4x−1=0 or x+1=0(Set factors equal to 0)
x=
1
4
or x=−1
Check answers. (Plug them in to make sure they work.)
x=
1
4
(Works in original equation)
x=−1(Works in original equation)
Answer:
x=
1
4
or x=−1
I need help and I don’t know what to do! What is 6x+y=17?
Answers
Answer:
6×+y-17=0 it is the correct answer and hope this help for you
A doctor gives a patient a 70% chance of surviving bypass surgery after a heart attack. If the patient
Isurvives the surgery, then the patient has a 40% chance that the heart damage will heal. Find the
probability that the patient survives the surgery and the heart damage heals. The probability is nothing
Answers
Answer:
The probability the person will survive the bypass surgery and that the heart damage will heal is about 28%
Step-by-step explanation:
(7/10)*(4/10)*100=28
To solve for probability of situations like this you have to multiply the fractional values of the two percentages and multiply by 100 to get the new percentage.
Using conditional probability, it is found that there is a 0.28 = 28% probability that the patient survives the surgery and the heart damage heals.
Conditional Probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Surviving.Event B: Healing.70% chance of surviving, thus [tex]P(A) = 0.7[/tex].If the patient survives, 40% chance of healing, thus [tex]P(B|A) = 0.4[/tex].The probability of both is [tex]P(A \cap B)[/tex], then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)P(A)[/tex]
[tex]P(A \cap B) = 0.4(0.7)[/tex]
[tex]P(A \cap B) = 0.28[/tex]
0.28 = 28% probability that the patient survives the surgery and the heart damage heals.
A similar problem is given at https://brainly.com/question/24161830
2x−5y−z=17
x+y+3z=19
−4x+6y+z=−20
Answers
4 km - 280 m
what is the answer
Answers
Answer:
Look at step-by-step
Step-by-step explanation:
Either 120 m or 1.2 km
Answer:
3.72 kilometers
Step-by-step explanation:
just subtract man
Please answer correctly, I’ll give brainlest.
Answers
Answer:
[tex] \sqrt{170} [/tex]
Help me Please with this Math ;(
Answers
6. The answer is 32 dollars per hour from (0,2)
7. The answer is 32 dollars per hour from (2,4)
Simpty to create an ealent expression
8k-5(-5k+3)
Answers
Answer:
Tge answer:8k+25k-15
Question 2
1 pts
Between what two consecutive whole
numbers does
Square root212
lie?
Answers
he sum of two numbers is 60. The greater number is 6 more than the smaller number. Which equation can be used to solve for the smaller number?
x + (x + 6) = 60
x − (x + 6) = 60
x(x + 6) = 60
x(x− 6) = 60
Answers
Answer:
x+(x+6)=60
Since the greater number is six more than the smaller number, the variable value will be of the smaller number. And since the bigger number is six more than the smaller number, it needs to be in parantheses as x plus six. But, since the value of both the numbers is sixty, the equation will finally become x+(x+6)=60
Steam
To save money for his daughter's college tuition, All Invests $250 every quarter in an annuity that pays 6.2% Interest, compounded quarterly
Payments will be made at the end of each quarter. Find the total value of the annuity in 22 years
Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas
Answers
Answer:
5436
Step-by-step explanation:
take 6.2 and ÷ 250 then × it by 22
What is the answer to thus ...?
Answers
Juana had a board that was 54 inches long. She cut off 22.5 inches for a project. How may inches of the board remain?
Answers
Answer:
Step-by-step explanation:
4+2=5
-2323
asdasd
What is the measure of angle b?
Answers
Answer:
if those lines are parallel, then the m∠ = 92°
Step-by-step explanation:
The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines.
Describe a transformation that could be used to show that alternate interior angles are congruent.
Answers
Answer:
Step-by-step explanation:
From the picture attached,
Let 'l' be the original line having one angle ∠BAC.
If the original line 'l' is shifted or translated to line 'm', angle BAC will replace the angle BDE.
Since, measure of angles are preserved in the translation,
m∠BDE = m∠BAC [corresponding angles]
Since, ∠BDE ≅ ∠MDA [Vertical angles]
Therefore, m∠MDA = m∠BAC
Hence, alternate interior angles (∠MDA) and (∠BAC) will be congruent when line 'l' is translated to line 'm'.