Match each function on the left to all points on the right that would be located on the graph of the function
By direct evaluation we have found the following results about functions and points:
The points (1, - 3) and (5, 5) are part of the function f(x) = 2 · x - 5.The point (1, 1) is part of the function f(x) = 2 · x² - 8 · x + 7.The point (4, 1) is part of the function f(x) = 2√(x - 4) + 1.What function does a point belong to?Herein we have three functions and four points which has to be checked with respect to each of these functions. A quick approach consists in evaluating each function at every value of x and choose from the outputs.
Case A
f(1) = 2 · 1 - 5
f(1) = - 3
f(4) = 2 · 4 - 5
f(4) = 3
f(5) = 2 · 5 - 5
f(5) = 5
The points (1, - 3) and (5, 5) are part of the function f(x) = 2 · x - 5.
Case B
f(1) = 2 · 1² - 8 · 1 + 7
f(1) = 1
f(4) = 2 · 4² - 8 · 4 + 7
f(4) = 7
f(5) = 2 · 5² - 8 · 5 + 7
f(5) = 17
The point (1, 1) is part of the function f(x) = 2 · x² - 8 · x + 7.
Case C
f(1) = 2√(1 - 4) + 1
f(1) = NaN
f(4) = 2√(4 - 4) + 1
f(4) = 1
f(5) = 2√(5 - 4) + 1
f(5) = 3
The point (4, 1) is part of the function f(x) = 2√(x - 4) + 1.
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Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form.
3/4,1/8
Answer:
From 3 to 4,1 is 1,9 and from 4,1 to 8 it is 4,9 I think. I am sorry if I'm wrong I haven't done this is a while?
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A string reaches from the top of a 17-foot pole to a point 13 feet from the base of the pole. To the nearest tenth of a foot, how long is the string?
Answer:
21.4 feets
Step-by-step explanation:
Using Pythagoras rule :
The length of the string:
Hypotenus = sqrt(opposite² + adjacent²)
Length of string = sqrt(17² + 13²)
Length = sqrt(289 + 169)
Length of string = sqrt(458)
Length of string = 21.400
Length = 21.4 feets
George buys oranges and apples
at a ratio of 2:5 for his party.
If he has 14 oranges how many apples does he have
Answer:
The answer is 35 apples.
Step-by-step explanation:
ratio: 14:35
It's 14:35 because
14/2=7 and 5 x 7 = 35
So he has 35 apples!!
Hope his helps!! ;)
a student borrow some money from his father at 2% simple interest to buy a car he paid his father 360 and interest after 3 years how much money did he intentionally borrow from his father
Answer:
$6000.
Step-by-step explanation:
360/3(years)= 2% of Principle
so
120=2% of principle
2%=1/50
120*50=6000
Ans.=$6,000
Write a recursive formula for the sequence 7,4,1, -2 and -5. Then find the next term.
Answer:
the answer is 10-3n please do you get it
Answer:
1. C
2.C
3.A
4.B
5.D
Step-by-step explanation:
100 % for AL Connecions Mathematical Patterns
1. Classify the triangle according to side length and angle measurement.
(green triangle seen in the photo)
2. Classify the triangle according to side length and angle measurement.
(yellow triangle seen in the photo)
3. Classify the quadrilateral. Parallel sides are indicated with arrows.
(purple quadrilateral shown in photo)
Answer:
1. Scalene,right
2.Iscosecles,obtuse
4.parallelogram
Step-by-step explanation:
make sure ques 2 is correct because im not sure
you earn 35 for washing 7 cars how much do you earn for washing 4 cars
Answer:
He earned 20$
Step-by-step explanation:
To find the answer, divide 35$ by 7. Then multiply that number by 4.
35 / 7 = 5. 5 x 4 = 20
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Find the measures of the numbered angles
The average test score for 8 students is 5 the scores for 7 of the 8 students are shown what is the score of the 8th student
Answer:
70
Step-by-step explanation
Find the diagram attached
Average = Sum of scores/sample size
Given the 7 numbers
20, 20, 20, 30, 80, 80, 80
Average = 50
5 = 20+20+20+30+80+80+80+x/8
x is the score of the 8th student
50 = 330+x/8
400 = 330+x
x = 400-330
x = 70
Hence the score of the 8th student is 70
The floor of Catelyn's bedroom has an area of 123 1/2 square feet. The walls are 9 1/2 feet tall. What is the volume of Catelyn's bedroom?
Answer:
Volume of the Catelyn's bedroom = [tex]1173\frac{1}{4}[/tex] cubic feet
Step-by-step explanation:
Floor of Catelyn's bedroom has area = [tex]123\frac{1}{2}[/tex] square feet
= 123.5 square feet
Height of the walls = [tex]9\frac{1}{2}[/tex] feet
= 9.5 feet
Shape of the room is like a rectangular prism.
Therefore, volume of the bedroom = Area of the rectangular base × Height
= 123.5 × 9.5
= 1173.25
= [tex]1173\frac{1}{4}[/tex] cubic feet
3.What is 25% written as a decimal? (Hint: Don't forget to take away the "%" sign or it will be marked wrong.)
Answer:
0.25
Step-by-step explanation:
Answer:0.25
25% = 25 / 100
= 0.25
Jacob earns $300 per week plus $50 for every car he sells. How many cars will he need to sell this week to earn a total of $700
Answer:
He would sell 14 cars.
Step-by-step explanation:
Hope this helps
Find the slope of the line through the pair of points (-6,-5) and (-2,6)
Answer:
11/4
Step-by-step explanation:
There were 36 sweatshirts on sale for 2/3 of the regular price. What was
the sale price if the regular price was $30?
Answer:
To sum up, we solved for W. Finally, the sale price of a sweatshirt was 20$.
Step-by-step explanation:
So we have our main equation of W/G=p. The G stands for the total amount which is 30. The W is the unknown in this case. As for the p equals 2/3.
Thus we substitute G and p into the equation W/30=2/3. We multiply both sides of the equation with 30 W=2*30/3. Which gives us 60/3=20.
What’s the answer???????
Answer:
12
Step-by-step explanation:
2(b + c)
2(5 + 1)
2(6)
12
The answer is on the picture
Patrice found a book that was 2 1/4 inches thick. She stacked it with another book that was the same thickness. How tall was the stack ?
Answer:
4.5. inches
Step-by-step explanation:
Given that:
Thickness of first book = 2 1/4 inches
Thickness of second book = same as first = 2 1/4 Inches
Stacking both books together, height of stack will be :
2 1/4 inches * 2
Height of stack = 9/4 * 2
Height of stack = 18 /4 = 4.5 inches
1/2 (6x - 4) + 4x = 26
Answer: = 4
Step-by-step explanation:
Your welcome
PLZ PLZ HURRY I WILL GIVE BRIANLEST
Which of the following equations of a line is NOT written in standard form?
A. 3x + 2y = 8
B. -9x – 4y = 17
C. x + y = 10
D. y = 6x
Fred runs 4 laps around a track in 6 minutes. How many minutes per lap is that? How many laps per minute?
Answer:
0.67 Laps per minute
Step-by-step explanation:
4 Laps over 6 Minutes
4/6 = 0.67
x = -0.25 and y = -6
Solve the expression: xy
Answer:
If x = -0.25 and y = -6 then we have -6(-0.25) = 1.5
Hope this helps!
if your heat beats 75times per minute how many time does it beat in 5 hours
Answer:
22500
(75 * 60) * 5 = 22500
At a farm four employees harvest 48 pounds of food over a certain number of hours each employee works the number of hours shown
Complete question :
At a farm, four employees harvest 48 pounds of food over a certain numbers of hours. Each employee works the numbered of hours shown. Employee A: 6 hours employee B: 4 hours employee C: 6 hours employee D: 8 hours The number of pounds of food harvested by each employee is proportional to the number of hours worked. Fill in the table with the amount of food, in pounds, each employee harvested.
Answer:
A = 12 lbs ;
B = 8 lbs
C = 12 lbs
D = 16 lbs
Step-by-step explanation:
Total hours worked :
(A + B + C + D)
(6 + 4 + 6 + 8) hours = 24 hours
Total pounds of food = 48 pounds
Pounds harvested per hour = 48 pounds / 24 hours = 2 pounds per hour
Amount of food harvested by each employee :
A = 6 * 2 = 12 pounds
B = 4 * 2 = 8 pounds
C = 6 * 2 = 12 pounds
D = 8 * 2 = 16 pounds
On the number line, is -3 8/9 or -3.89 farther from 0? Explain.
plz help :)
Answer:
-3.89 is the farthest, because it has the highest absolute value
Explain why -55.1 is a rational number?
Answer:
Definition of a rational number:
A rational number is any number that can be expressed as a ratio of two integersGiven number is:
-55.1 = -551/10As we see the number can be expressed as a ratio of two integers, hence it is a rational number.
IF YOU DONT KNOW DONT ANSWER!!!!!!! and I give b if correct :)
Answer:
location
Step-by-step explanation:
orientation doesn't change
shape doesn't change
size doesn't change
number of sides doesn't change
location does change
Identifying and Solving Proportions
PLS ANY HELP!! thank you to whoever helps with question 6 <3
Answer:
Inez ran the mile in 5 minutes and 20 seconds
Great had the fastest time.
Her mile was faster by 20 seconds.
Step-by-step explanation:
A rectangle is 14 inches long and 6 inches wide. Find its area. A 78 square inches B 20 square inches C 84 square inches D 26 square inches
Answer 34 square inches
Step-by-step explanation 2+2+2+4+4+9+9
use the exponent rule to simplify
Answer:
[tex]y^{-5}[/tex]
Step-by-step explanation:
The Exponent Quotient Rule states that if two terms of the same base are being divided by each other, then the simplified expression is the base to the first power subtracted by the second power. As an algebraic equation, that would be [tex]\frac{x^{a} }{x^{b} } =x^{a-b[/tex], where [tex]x[/tex] is the common base and [tex]a[/tex] and [tex]b[/tex] are the exponents.
In this case, [tex]x=y[/tex], [tex]a=2[/tex], and [tex]b=7[/tex], so we know that [tex]\frac{y^{2} }{y^{7} } =y^{2-7}=y^{-5}[/tex]. Hope this helps!