The equation representing the function f(x) -
y = 4x - 8
We have a linear function f(x) as shown in the graph.
We have to determine the slope-intercept form of the equation representing this function.
What is the Slope - intercept form of the equation of a straight line ?The Slope - intercept form of the equation of a straight line is as follows -
y = mx + c
where -
m - slope of line
c - intercept of line on y - axis.
According to the question, we have -
c = - 8 = intercept of line on y - axes.
Intercepting coordinates on y - axes = (0, -8).
Intercepting coordinates on x - axes = (2, 0).
Slope = m = [tex]\frac{-8-0}{-2 -0}[/tex] = 4
Therefore, the equation representing the function f(x) -
y = 4x - 8.
To solve more questions on Straight lines, visit the link below -
brainly.com/question/28091452
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Write one-page given the following scenario, determine if the salesman’s conjecture is logical? Why or why not? Is it true? Why or why not? Provide a counterexample that would disprove his hypothesis:
A car salesman sold 5 used cars to five different couples. He noticed that each couple was under 30 years old. The following day, he sold a new, luxury car to a couple in their 60’s. The salesman determined that only younger couples by used cars.
Answer:
His conjecture is not logical.
Step-by-step explanation:
If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.
Multiply the polynomials (3x+4)(5x+1)
Answer:
15x^2 + 23x + 4
Step-by-step explanation:
(3x+4)(5x+1)
You put them around a square, like in the picture.
You then cross multiply them.
After that, add all the numbers together.
Hope this helped!
How much cents are in 12 quarterS answer fast!!!!
Answer: 300 cents or 3 dollars
Step-by-step explanation: 12x25=300.
Answer:
300 CENTS
Step-by-step explanation:
hope this helps
5.76
228
35
Which list shows the lengths in order from greatest to least?
Answer:
the correct order of these from greatest to least is. 228, 35, 5.76
How much interest would $1,000,000 earn at 2% compound daily, in one day?
Answer:
$54.79 is the answer
Step-by-step explanation:
Find the slope of the line that passes through:
(-4,7) and (-6, -4)
Answer:
Ok:
Step-by-step explanation:
The formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Here, we can plug in values where x2 = -6, x1 = -4, y2=-4, and y1 = 7. Solving, we get the slope is 11/2 or 5.5.
Arisia puts $500.00 into a savings account with an annual simple interest rate of 4.5%.
Part A
How much interest does she earn per year?
Answer:
$22.50
Step-by-step explanation:
$500.00 × 0.045=22.50
this graph shows how fast the International Spacd Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2
Answer:
have you found the answer I need it to
The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by latex of the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?
Complete question :
The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?
Answer:
-6°F
Step-by-step explanation:
Temperature at 5am (t1) = - 6°F
Temperature at 3pm (t2) = 36°F
Change in temperature, between 5am and 3pm:
(t2 - t1) = (36 - (-6)) = (36 + 6) = 42°F
Hence, temperature at 8:00 pm:
High temperature - change in temperature between (5am - 3pm)
36°F - 42°F = - 6°F
The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)? Your answer should be an integer.
===================================================
Explanation:
The remainder theorem says that if we divide some polynomial p(x) over (x-k), then p(k) is the remainder.
The expression x+1 is the same as x-(-1). Comparing this to x-k shows k = -1.
So we'll need to evaluate p(-1)
To do so visually, draw a vertical line through -1 on the x axis. Make sure this vertical line crosses the blue curve at some point, which I'll call point A.
From point A, draw a horizontal line to the y axis. You should reach y = 3.
This is all shown in the diagram below.
In other words, the point (-1,3) is on the blue curve, and p(-1) = 3.
So the remainder is 3.
Answer:
3
Step-by-step explanation:
What is the slope of line p
A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Complete question is;
The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Answer:
We would conclude that the new program doesn't seem to be more effective than the old program.
Step-by-step explanation:
We are given;
Population mean; μ = 91
Population standard deviation; σ = 10
Sample mean; x¯ = 90.7
Sample size; n = 19
Formula for z-score
z = (x¯ - μ)/(σ/√n)
z = (90.7 - 91)/(10/√19)
z = -0.131
From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;
P-value = 0.4479
This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.
What is the value of x in the equation below?
-3-(-8)-(-2)= X
-13
3
ОО
Answer:
log2 8=c
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
-3-(-8)-(-2)=
-3+8+2=
7
Please help me out!!! :)
How can you look at the equation of two lines and determine if they will be parallel?
Answer:
fafg and then do the 2a ab 2b
Step-by-step explanation:
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $76.00
Markdown: 33%
The sale price is $ .
PLZ ANSWER ASAP!
Are the following ratios equivalent? Explain.
2:10
6:60
Answer:
No
Step-by-step explanation:
it would 12:60
6x2=12
6x10=60
Answer:
they are not equivalent
Step-by-step explanation:
7 : 35
12 : 60
17 : 85
22 : 110
hear are ratios that are equivalent to 2:10
Janice wants to find the area of a square tabletop.She uses the formula for the area of a square: A=s2, where s is the length of one side of the square.If s= 3 feet what is the area of the tabltop
Answer:9
Step-by-step explanation:
You said that the areas is one side multiplied by 2. If one side (S) is 3, then 3 x 3 = 9.
Would you use an equal sign or an inequality symbol in the following situation? Explain how to decide which sign to use
In many states you must be at least 16 years old to obtain a driver's license?
Answer:
You would use an inequality sign because the statement says at least, meaning you have to be above or exactly the age given.
Step-by-step explanation:
You would use an equal sign if it says you must be that exact age, meaning anyone above and under the age of 16 are not allowed to obtain their drivers license.
Help!!!!!!!!!!!!!!!!Will mark BRAINLIEST
Answer:
Step-by-step explanation:
1. true
2. true
3. false ( pie chart )
4. true
5. false ( y axis )
6. true
7. true
Hope this helps
plz mark as brainliest!!!!!!
2x+y=10 Find one non solution and solution. EXPAIN plz help i have a timed test ill make brainliest.
Answer:
x=20-y
y=20-x
Step-by-step explanation:
divide by 2 on both sides: x+y=20
to find x, subtract y:
x=20-y
to find y, subtract x:
y=20-x
nothing else can be done unless you know either y or x.
Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees
Answer:
I = $ 1,937.50
Step-by-step explanation:
Please help I’m not sure if I’m right
Answer:
C
Step-by-step explanation:
75.54*550=41,497.5
PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.
A. On which day did Elsa reach farther: the second or third day?
B. By how much?
Answer:
A) The second day
B) 9/16 inches
A) Elsa reached farther on the second day because -1/16 > -5/8
B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:
-1/16 - (-10/16) = 9/16
Elsa reached 9/16 inches farther on the second day then she did on the first.
Hope this helps and have a great day!
Also stay safe! :))))
Simplify√16 r6
A) 4r2
B) 4r3
C) 8r2
D) 8r3
Answer:
B) [tex]4r^{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{16r^{6}}=\sqrt{4*4* r^{(3*2)}\\[/tex]
[tex]=\sqrt{4^{2}*(r^{3})^{2}}\\\\=4*r^{3}\\\\=4r^{3}[/tex]
Answer:
B) 4r3
Step-by-step explanation:
Hope this helps.
x-14<-6x+7≤13 solve for x
Answer:
−1 ≤ x < 3
Step-by-step explanation:
Solve the system of inequalities.
X must be equal to or greater then -1 and smaller then 3.
You options are -1, 0, 1, & 2
Select the correct answer.
The formula for the voltage, V, of an electrical current is V = VPR, where Pis the power measured in watts and Ris the resistance measured
In ohms.
A toy train with a resistance of 10 ohms is powered by four 1.5-volt batteries. What is the power of the toy train?
OA. 0.225 watts
OB. 0.60 watts
Ос.
3.6 watts
OD
16.7 watts
I don't know the correct answer but I know its not 0.60 watts
Answer:
it is 3.6 watts
Step-by-step explanation:
there is no explanation but if needed proof i will try to post a picture of it
Please help if you can!! I would appreciate it alot!
People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?
Answer:
44%
Step-by-step explanation:
1144 is 44 percent of 2600
evaluate this
| 5+-3-2 |
Answer:
0 is the answer
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
5+-3= -2
-2-2=0
Write a linear function in slope intercept form given the slope of the equation is -4 and the y intercept is 6.
Answer:
6=-4x+b
Step-by-step explanation:
You plug in the numbers but the formula that you use is y=mx+b with x being the number you don't know
The other answer on the red box is 7.
Answer:
8
Step-by-step explanation:
that is an isosceles triangle. they have 2 sides that are the same
8*4 is 32+7 is 39
9*8 is 72-33 is 39