Some values of the linear function f are given in the table shown. What is the value of f(100)?
Answer:
f(100) = 160.
Step-by-step explanation:
Linear function:
The equation of a linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much f(x) changes when x changes by 1) and b is the y-intercept(value of f(x) when x = 0).
Finding the slope:
Suppose we have two points. The slope is the change in the output divided by the change in the input.
In this question, we have points (45,50) and (60,80).
Change in the output: 80 - 50 = 30
Change in the slope: 60 - 45 = 15
Slope: 30/15 = 2
So
[tex]y = 2x + b[/tex]
Point (45,50)
This means that when [tex]x = 45, y = 50[/tex]. We use this to find the value of b.
[tex]y = 2x + b[/tex]
[tex]50 = 2(45) + b[/tex]
[tex]b = -40[/tex]
So
[tex]y = 2x - 40[/tex]
With y = f(x)
What is the value of f(100)?
This is y when x = 100. So
[tex]f(100) = 2(100) - 40 = 200 - 40 = 160[/tex]
f(100) = 160.
Solve for n: 8n = 56
n=1/7
n = 7
n = 48
n = 64
n= 448
Answer:
The answer is number 7
Step-by-step explanation:
56÷8=7
n= 7
Two non-overlapping angles that share a ray making an obtuse angle are ___ The sum of the angles' measures is ___ degrees
Answer:
90 , 40
Step-by-step explanation:
1. The drama club sells 200 pounds of fruit to raise money. The fruit is sold in
5-pound bags and 10-pound bags,
a. Write an equation to find the number of
each type of bag that the club should sell
.
I got the wrong answer. I don't want to keep this up just in case anyone needs the answer to this question again. But I can't delete my answer so I'll just leave this. Have a nice day tho. Sorry about that :(
Find the 30th term of the following sequence. 1, 7, 13, 19, ...
Answer:
175
Step-by-step explanation:
a30 = a1 + f × (n-1)
f= difference between numbers
Gretchen measured the length of her toaster, to the nearest half inch to be 9 inches. Steve measured the toaster to the nearest quarter inch and found it measured 9 1/4 inches. Who used a more precise measurement?
Question 11
A card game is being played and the 5 of spades and 10 of clubs are drawn. In order to win the
hand, the next card must be higher than the highest card already on the table. Assuming the
game is played with a single deck, what is the chance that the next card drawn will win the
hand? (An ace has a value of 1.)
A.3%
B.12%
I
C.24%
D.25%
Answer:
24%
Step-by-step explanation:
trust me and get blessed
The probability of drawing a card that could win the hand and actually winning the hand is 12%.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
There are 50 cards left in the deck after the 5 of spades and 10 of clubs are drawn since there are 4 suits with 13 cards each, and 2 of those cards have already been drawn.
Out of the remaining 50 cards, there are 16 cards that could win the hand: the 9 remaining cards higher than the 10 of clubs in any suit, and the 6 remaining cards in the spade suit (since the 5 of spades is already on the table).
Therefore, the probability of drawing a card that could win the hand is 16/50, which simplifies to 8/25. This is approximately 0.32 or 32%.
However, we need to subtract the probability of drawing the 5 of clubs, 10 of spades, or any of the 8 remaining cards that would not win the hand.
The probability of drawing one of these cards is 10/50, which simplifies to 1/5 or 20%.
The probability of drawing a card that could win the hand and actually winning the hand is:
(16/50) x (1/5)
= 0.32 - 0.2
= 0.12 or 12%.
Thus,
The probability of drawing a card that could win the hand and actually winning the hand is 12%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
What is the probability that a randomly chosen student is a boy that prefers comedy movies?
I NEED HELPPO ASAP
Answer:
12/35
Step-by-step explanation:
i don’t know the decimal but you can figure that out quickly
HELP jimthompson5910
Answer:
2 pounds= $3.00
5 pounds= $7.50
8 pounds= $12.00
The electrical current, in amperes, in a circuit varies directly as the voltage. When 15 volts are applied,
the current is 5 amperes. What is the current when 57 volts are applied?
Answer
The electrical current, in amperes, in a circuit varies directly as the voltage when 15 volts are applied, the current is 5 amperes-by-step explanation:
Find the area of the circle to the nearest tenth.
A.210.3 sq m
B. 660.5 sq m
C. 2075.1 sq m
D. 2642.1 sq m
Help me please quick
Answer:
[tex]slope = \frac{rise}{run} [/tex]
The slope is 3
Yep thts your answer
look at pic 10 pts will mark brainilest
[Will mark as brainliest, and give you a 5 star rating, will report scam answers, please give the question a shot.]
A fruit stand at the checkout line has 5 bananas, 3 apples, and 4 oranges. Find the probability that if you randomly chose 3 fruits:
A) Two oranges and one banana are chosen
B) One of each fruit is chosen
C) All three are bananas
Answer:
B)
Step-by-step explanation:
Answer:
b, one of each fruit is chosen
Step-by-step explanation:
7. If the total number of books checked out of the library at your high school is 14,400 and the student population
is about 2400. How many books on average does each student have?
[tex] {20}x^{2} - {45}y^{2} [/tex]
Answer:
5(4x^2-9y^2)
Step-by-step explanation:
I assume you want to simplify the expression:
20x^2-45y^2
5(4x^2-9y^2)
On Marlene's trip to Starved Rock, her average rate of speed for the entire five-hour trip was 62 miles per hour. For the first two hours of her trip, she kept her average speed at 50 miles per hour. Then she realized she was going to be late to meet her friend for dinner, so she started driving faster. What was her average speed for the last three hours of the trip?
Answer:
70 miles per hour
Step-by-step explanation:
Distance = speed * time
speed = distance / time
------------------------------
Total Distance
speed = 62
time = 5
62 * 5 = 310 miles
Distance travelled in first 2 hours
speed = 50
time = 2
50 * 2 = 100 miles
Remaining distance
310 - 100 = 210 miles
Speed to cover 210 miles in 3 hours
distance = 210
time = 3
210/3 = 70 miles per hour
Is the answer to the problem A,B,C or D ?
Answer:
D because if you simplify its into more you get D
anyoneknowsthishelppls
Answer:
c
Step-by-step explanation:
2) Zack ran 6 miles this weekend. How many feet did Zack run over the weekend?
Answer:
zach ran 31680 feet over the weekend.
Step-by-step explanation:
1 mile = 5280, so 6 x 5280 = 31680
A triangle has height 4ft and an area 64ft square What is the length of its base?
Answer:the answer is 60
Step-by-step explanation:
The question is “what is the length” so what I think we are supposed to do is to add since the height is 4 and the area is 64 so the length has to be 6
Hope I helped
For those who watch anime: Tell me what type of anime recommendations you want and I'll try to recommend 1-3.
Answer:
one punch man
Step-by-step explanation:
Please please give the answer fast
Answer:
169
Step-by-step explanation:
27 + 22 + 98 + 22 = 169
How many different three-letter arrangements can be formed using the letters in the word ABSOLUTE if each letter is used only once?
Ο 112
Ο 168
Ο 336
O56
Answer:
336 3-letter-arrangements
At Jefferson Middle School,
3/5
of the students play a sport. Of those students,
1/3
play soccer. What equation can be used to find what fraction of the students play soccer?
1
3
+
3
5
1
3
÷
3
5
1
3
×
3
5
Answer:
[tex]\frac{1}{3}[/tex] times [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
What is the equivalent radian measure of 600?
Answer:
[tex] = \frac{ \theta}{180} \times \pi \\ = \frac{600}{180} \times \pi \\ = \frac{10}{3} \pi[/tex]
Hi I’m a tutor ask me if you need help
Answer:
are you realy a tutor?
Step-by-step explanation:
what percent of the population has an IQ score between 115 and 130?
Answer:
68% of the individuals in the population have an IQ between 85 and 115. 95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.
Step-by-step explanation:
HELP IM STRUGGLING I DONT WANNA FAIL THIS SCHOOL YEAR
Answer:
507 cubic m
Step-by-step explanation:
V = l · w · h
V = 13 × 13 × 3
V = 507
Raid this zoom ASAP
ID:756 537 0556
PASS: fP8TRU
Answer:
uhm ok-?
Step-by-step explanation:
Step-by-step explanation:
no not interested