Given:
The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function.
To find:
The function.
Solution:
In option A,
[tex]h(x)=x^2+2[/tex]
Putting x=0, 1, 2, 3 respectively, we get
[tex]h(0)=(0)^2+2=2[/tex]
[tex]h(1)=(1)^2+2=3[/tex]
[tex]h(2)=(2)^2+2=6[/tex]
[tex]h(3)=(3)^2+2=11[/tex]
The function passes through the points (0,2), (1,3), (2,6), and (3,11). So, [tex]h(x)=x^2+2[/tex] is the required function.
In option B,
[tex]h(x)=0.5x^2+1.5[/tex]
At x=0,
[tex]h(0)=0.5(0)^2+1.5=1.5\neq 2[/tex]
So, option B is incorrect.
In option C,
[tex]h(x)=2x^2[/tex]
At x=0,
[tex]h(0)=2(0)^2=0\neq 2[/tex]
So, option C is incorrect.
In option D,
[tex]h(x)=x+2[/tex]
At x=2,
[tex]h(2)=(2)+2=4\neq 6[/tex]
So, option D is incorrect.
Therefore, the correct option is A.
[tex]2 \sqrt{2} [/tex]
In the diagram, △RST∼△R′S′T′. Determine the length of RS. Show your work.
100 points!
Answer:
RS = 6 feetStep-by-step explanation:
Use ratios of corresponding sides:
TS/T'S' = RS/R'S'Substitute and solve for x:
9/4 = (12x + 2)/(5x + 1)9(5x + 1) = 4(12x + 2)45x + 9 = 48x + 848x - 45x = 9 - 83x = 1x = 1/3Find the length of RS:
RS = 12x + 2 = 12(1/3) + 2 = 4 + 2 = 6 feetIf 35% of a number is 98 and 80% of the same number is 224, find 45% of that number.
9514 1404 393
Answer:
126
Step-by-step explanation:
If n represents the original number, we have
(35%)n = 98
(80%)n = 224
We want to find (45%)n.
(45%)n = (80% -35%)n = (80%)n -(35%)n
(45%)n = 224 -98 = 126
45% of the number is 126.
HELP! DUE IN 5 MINS TvT
Could the table of (x,y) pairs
Have been generated by a linear function?
O. Yes
O. No
Solve each inequality, and then drag the correct solution graph to the inequality.
Answer:
Step-by-step explanation:
What is the scale factor of the dilation shown? Quadrilateral D E F G has side lengths 4, 10, 8, and 4. Quadrilateral D prime E prime F prime G prime has side lengths 6, 15, 12, and 6.
Scale factor= ______:______
PLEASE I NEED HELP
Answer:
i think the scale factor is 3:2
Step-by-step explanation:
To figure the total difference divide:
6 divided by 4 = 1.5
1.5 = 3/2
pls tell me if wrong
Hope this helps
You can rent a car for $45 per day plus $0.75 per mile. (This includes taxes.) If you have $120 to spend, find the number of miles you can drive.
13. A certain town with a population of 100,000 has 3 newspapers: I, II, and III. The proportions of townspeople who read these papers are as follows: I: 10 percent I and II: 8 percent I and II and III: 1 percent II: 30 percent I and III: 2 percent III: 5 percent II and III: 4 percent (The list tells us, for instance, that 8000 people read newspapers I and II.) Find the number of people who read only one newspaper. How many people read at least two newspapers
Answer:
a) the number of people who read only one newspaper is 20,000
b) number of people read at least two newspapers is 12,000
Step-by-step explanation:
Given the data in the question;
A certain town with a population of 100,000 has 3 newspapers
a)Find the number of people who read only one newspaper
From the Venn-diagram illustrating the data in the question;
Number of that read only one paper will be;
=[ ([tex]I^{}[/tex]∩ [tex]II^{c}[/tex] ∩ [tex]III^{c}[/tex]) + ( [tex]I^{c}[/tex] ∩ [tex]II^{c}[/tex] ∩ [tex]III^{c}[/tex]) + ( [tex]I^{c}[/tex] ∩ [tex]II^{c}[/tex] ∩ [tex]III^{}[/tex]) ] × 100,000
= [ 1% + 19% + 0% ] × 100,00
= 20% × 100,000
= 20,000
Therefore, the number of people who read only one newspaper is 20,000
b) How many people read at least two newspapers;
Number of people read at least two newspapers will be;
= [ ([tex]I^{}[/tex]∩ [tex]II^{}[/tex] ∩ [tex]III^{c}[/tex]) + ( [tex]I^{}[/tex] ∩ [tex]II^{c}[/tex] ∩ [tex]III^{}[/tex]) + ( [tex]I^{c}[/tex] ∩ [tex]II^{}[/tex] ∩ [tex]III^{}[/tex]) + ( [tex]I^{}[/tex] ∩ [tex]II^{}[/tex] ∩ [tex]III^{}[/tex]) ] × 100,000
= ( 7% + 1 % + 3% + 1% ) 100,000
= 12% × 100,000
= 12,000
Therefore, number of people read at least two newspapers is 12,000
9. 5(6р -3) -2 = 2(15р – 11) - 5
A 5-pound bag of red onions costs $3.90. What is the unit price?
per pound
Answer:
OK, I love these questions. The way to get the answer is always remember this formula- (PRICE DIVIDED BY QUANTITY). In this case, the price for a 5 pound bag of onions costs 3.99. So, to find the unit price per pound, all you need to do is divide 3.99 by 5. If you do the math (3.99/5), you'll get the answer of 79 cents per pound. If your asked to round, the answer would be 80 cents per pound.
Determine whether line c is a transversal of lines a and b. Explain your reasoning.
I WILL AWARD DA BRILLIANT AWORD THINGY
Answer:
Yes
Step-by-step explanation:
A transversal line is a line that intersects two or more lines. Since line C is intersecting two lines, it is transversal.
The required line C is a transversal of lines a and b.
What is a line?A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
The line which intersects two or more lines is said to be a transversal line.
So as of the given figure, line C intersects line a and line b so Line C is a transversal line.
Thus, the required line C is a transversal of lines a and b.
Learn more about lines here:
brainly.com/question/2696693
#SPJ2
Please help me with this 30 points
Answer:
D
Step-by-step explanation:
For every 1 unit, it goes vertically 1/2
Round 1.18769843885 to 5 decimal places
Answer:
1.18770
Step-by-step explanation:
zzzzzzzzzzzzzzzzz
The rounding up of 1.18769843885 to 5 decimal places is 1.18770.
What is the rounding up of numbers in decimal places?The rounding up of numbers is an estimate that says if a digit is more than 5, that number can be considered as one and added to the next preceding number.
To round up a number in a decimal place, we need to start counting our decimal place after the decimal point.
Here,
we are to round 1.18769843885 to 5 decimal placesSo, 1.18769843885 becomes:
= 1.18770
Learn more about rounding up in decimal places here:
https://brainly.com/question/235613
#SPJ6
An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars were removed, the ratio of horseshoe crabs to sea stars was 5:3. How many horseshoe crabs and sea stars were there at first? Solve this problem and explain your reasoning.
Answer:
45 horseshoe crabs and 45 sea stars
Step-by-step explanation:
The aquarium initially contained x crabs and x sea stars.
"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"
(x-15):(x-27) = 5:3
(x-15)/(x-27) = 5/3
3(x-15) = 5(x-27)
3x-45 = 5x-135
90 = 2x
x = 45
Select all the fractions that are
equivalent to a whole number.
9/3 -16/8 7/0 -5/3 0/5
Paul is 32 years old In ten years time Paul's age will be the sum of his 3 sons What do his sons ages add up to now?
Answer:
39
Step-by-step explanation:
Hope it helps!
Find the equation of a line perpendicular to x = -4 that contains the point (-3, 4). Write the equation in slope-intercepi
form.
PLS HELP ONLY 1 question
Which expression is equivalent to -5(2x – 10)?
Help ples
A ladder is leaned against a wall with its base 6m from the wall. The ladder makes a 50 degree angle with the ground. How long is the ladder?
Answer:
b
Step-by-step explanation:
375 is 60% of what number
Answer:
625
Step-by-step explanation:
60% x x = 375
you would multiply both sides by 100 and divide both sides by 60 so
×=625
Hope this helps!
help loll i’m confused
11. Silvaro borrowed $89.40 from his brother. He determines that he can pay him back
in six weeks. What effect will Silvaro's repayment have on his weekly bank account?
Answer: 14.90$ weekly deduction
Step-by-step explanation:
Answer:
$14.9 deduction
Step-by-step explanation:
Silvaro borrowed $89.40 from hsi brother
Silvaro decided that he will pay him back the money in six months of allowance.
Therefore the effect of the payment in his bank account can be calculated as follows.
= $89.40/6
= $14.9
Hence the payment will have a deduction of $14.9 from his monthly bank account
Hope it helps and if it does mark me brainliest.
Tyler has 30 marbles 40% of his marbles are blue how many of his marbles are blue
Answer:
12 marbles are blue.
Step-by-step explanation:
3 x 4 = 12, so 40 % of 30 is 12.
What is the value of X?
100°
60°
X
A.60
B.20
C.100
D.40
20
Step-by-step explanation:
X+100+60=180(due to stright angle) =X+160=180 =X=180-160 =X=20n-10 +9n -3= ggggggggggggggggggggggggggggggggggg
Answer:
1.428571428571429
Step-by-step explanation:
Answer:
n-10 +9n -3= ggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
n-10 +9n -3= ggggggggggggggggggggggggggggggggggg
HELP!!!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
;)
Help please asap! Give work for each question and number each of them so I know, ty again!
Answer:
1. 258 square meters
2. 180 square meters
3. 286 square feet
Step-by-step explanation:
1. Find the surface area of each side:
9 * 5 + 5 * 6 + 9 * 5 + 6 * 5 + 9 * 6 + 9 * 6
45 + 30 + 45 + 30 + 54 + 54
75 + 75 + 108
150 + 108
258
2. Base: 5 * 5 = 25
Top: 5 * 5 = 25
Sides: each 5 * 6.5 = 32.5
Altogether: 32.5 * 4 = 130
130 + 25 + 25 = 180
3. Base and top: both 8 * 10 = 80, together 80 * 2 = 160
Front and back sides: both 8 * 3.5 = 28, together 28 * 2 = 56
Left and right sides: both 10 * 3.5 = 35, together 35 * 2 = 70
Altogether: 160 + 56 + 70 = 286 sq feet
Jerry has two same size circles divided into same number of equal parts. One circle has has 3/4 of the parts shaded and the other has 2/3 of the parts shaded. His sister says the least number of pieces could be divided into 7,
Answer:
Step-by-step explanation:
help please! look at question
write an expression for the phase the difference of twice a number (n) and 3
Answer:
2n - 3
Step-by-step explanation:
twice a number means to multiply it by 2
difference of a number and 3 is a number being reduced by 3 so the 3 comes after the subtraction sign
