Answers
_____________________________________________________
Note: By looking at the graph, we see that it passed through the point, " (0, 1) " (at the y-intercept).
_____________________________________________________
Consider choice: [A]: "y = 3x" ; When "x = 0" ; what does "y" equal ?
→ y = 3x = 3(0) = 0 ; → "(0, 0)" is a solution; NOT "(0, 1)" ; so rule out "[A]" .
________________________________________________________
Consider choice: [B]: "y = 3x − 1" ; When "x = 0" ; what does "y" equal ?
→ y = 3(0)−1 =0−1 = -1; → "(0, -1)" is a solution; NOT "(0, 1)" ; so rule out "[B]" .
________________________________________________________
Consider choice: [C]: "y = 3x + 1" ; When "x = 0" ; what does "y" equal ?
→ y = 3(0)+1 = 0+1 = 1; → "(0, -1)" is a solution; so "choice [C]" is possible.
________________________________________________________
Consider choice: [D]: "y = 3x² + 1"; When "x = 0" ; what does "y" equal ?
→ y = 3(0²)+1 = 0+1 = 1; → "(0, 1)" is a solution; so "choice [D]" is possible.
________________________________________________________
However; choice: [D]: is a parabola, not a line; so we determine that the correct answer is: Choice [C]: "y = 3x + 1" .
________________________________________________________
Related Questions
Use the figure to find the measures of the numbered angles
Answers
75° = Angle 1 = Angle 4 = Angle 6
180° - 75° = 105° = Angle 2 = Angle 3 = Angle 5 = Angle 7
round 0.05468 to 2 significant figures
please explain.
Answers
1. all none zero numbers count (1-9)
2. all trailing zeros don't count (1000)
3. all leading zeros don't count (0.005)
4. all zeros between nonzero numbers count (1001)
5. all zeros after a decimal (not leading) count ($1.00)
Thus, since this number has leading zeros, we will not count them So then this number rounded to 2 significant figures will be: 0.055
Four gallons of gas cost $16.80. what is the unit rate?
Answers
16.80/5=4.20
Susie bought 4 3/4 pounds of cherries at the store. She ate 5/8 of a pound on the way home.
How many pounds of cherries does Susie have left?
Enter your answer in the box as a mixed number in simplest form.
Answers
PLZ HELP!!!!
1.Solve. 3m+7/2=−2m+5/2 Drag and drop the answer into the box. m =
2.What is the value of c?
−1.6(2c+12)=12
Enter your answer in the box.
c =
3.
Solve.
3 + q + 9 = 12
q = 0
q = 18
q = 6
q = 24
Answers
2. c = -9.75
3. q = 0
Answer:-1^5
Step-by-step explanation:
What is the justification for each step in solving the inequality?
−2(x+1)≥3x+8−2(x+1)≥3x+8
Select from the drop-down menus to correctly justify each step.
−2(x+1)≥3x+8−2(x+1)≥3x+8 :Given
−2x−2≥3x+8−2x−2≥3x+8 :
−2x≥3x+10−2x≥3x+10 :
−5x≥10−5x≥10 :
x≤−2x≤−2 :
Answers
[tex]-2(x+1)\geq3x+8 \ : \ \ \ Given \\ \\-2x-2\geq3x+8 \ : \ \ \ Distributive \ Property \\ \\ -2x\geq3x+10 \ : \ \ \ Addition \ Property \ of \ Inequality\\ \\-5x\geq10 \ : \ \ \ Subtraction \ Property \ of \ Inequality\\ \\x\leq-2 \ : \ \ \ Division \ Property \ of \ Inequality[/tex]
Jocelyn has 6 birds. Their mean age is 10. The mode is 8. What might their ages be?
Answers
total ages = 60
Generally, if the mode is 8 would mean there are more than one age of 8
suppose there are two with age 8,
leaving 44 for the other 4
(11 for the average of the remaining 4)
could have 9 and 13, and 8 and 14
so we could have:
8,8,8,9,13,14
or we could have:
8,8,9,10,12,13
check:of the 1st answer
mean = (8+8+8+9+13+14)/6 = 10
the mode is 8
you check the 2nd case
Louise bought 114 pounds of roast beef at $2.00 per pound and 212 pounds of turkey at $1.50 per pound. What was her total cost? Enter your answer in the box. $
Answers
Eric's goal is to walk 2.75 miles to and from the park every day for an entire year. If he meets his goal' how many miles will Eric walk?
Answers
Eric will walk 1003.75 miles in a year if he meets his goal.
Further ExplanationEric goal is 2.75 miles/day
How many miles in one year?
[tex]\boxed {1 year = 365 days }[/tex]
so in a year, Eric will walk:
[tex]\boxed {2.75 miles \times 365 days }\\ \boxed {= 1003.75 miles }[/tex]
Here is how to do decimal numbers multiplication using standard algorithm (You can see in the attachment below how to multiply using the area model)
2.75 ⇒ 2 decimal place
365 x ⇒ 0 decimal place (a whole numbers)
1375
1650
825 +
1003.75 ⇒ 2 decimal place
Here how to determine where the decimal point, from the calculation above
First factor has 2 decimal place
Second factor has no decimal place,
so the result would have 2 decimal place (2+0)
In doing decimal numbers multiplication we don't need to line the decimal place.
Learn MoreTotal spend brainly.com/question/12203917
Decimal numbers multiplication https://brainly.com/question/2181998
Decimal numbers multiplication brainly.com/question/1254534
Keywords: multiplication, decimal multiplication, three digits number additional, additional, multiplication, three digit numbers, subtraction decimal numbers
Note that if Eric meets his goal, he will walk approximately 1003.75 miles in a year
How to compute the distance Eric will walkNote that the distance walked to and from the park every day = 2.75 miles
Number of days in a year = 365 days
Total miles walked in a year = Distance walked every day x Number of days in a year
Total miles walked in a year = 2.75 miles x 365 days
= 1003.75 miles
So , if Eric meets his goal, he will walk approximately 1003.75 miles in a year.
Learn more about goal at:
https://brainly.com/question/1512442
#SPJ6
In Nathan’s baseball card collection, 58% of the cards are players form the national league. He has 702 baseball cards. About how many baseball cards are players form the national league? Use a rate per 100 to estimate
SHOW WORK PLEASE THANKYOU!
Answers
Nathan has 702 cards in his collection.
So...58% of 702 are from the National League...
58% is 58 out of 100
702 rounds to 700
since 700 is 100 * 7, we will multiply 58 * 7 = 406....so about 406 cards are players from the national League
Answer: 406
Step-by-step explanation:
Given : In Nathan’s baseball card collection, 58% of the cards are players form the national league.
We can write 58% as 0.58 [To convert percent into decimal we divide it by 100]
If he has 702 baseball cards, then the number of baseball cards are players that form the national league will be :
[tex]0.58\times702\approx 0.58\times700=406[/tex]
Hence, about 406 baseball cards are players form the national league.
It took a cheetah 45 minutes to run from Jungle A to Jungle B. The average speed for the trip was 80 km/h. Find the distance between the two jungles.
Answers
If the average speed for the trip of 80 kilometers per hour, and the time of the trip was 45 minutes, then the distance between the two jungles is 60 kilometers.
45 minutes is three-quarters of an hour, or 0.75. I multiplied this decimal by 80 to get 60, the distance between Jungle A and Jungle B.
Total distance cover from Jungle A to B is 60 km
Given that;
Time taken to cover distance = 45 minutes
Speed of trip = 80 km/h
Find:
Total distance cover from Jungle A to B
Computation:
Distance = Speed × Time
Total distance cover from Jungle A to B = Time taken to cover distance × Speed of trip
Total distance cover from Jungle A to B = [45/60] × 80
Total distance cover from Jungle A to B = [0.75] × 80
Total distance cover from Jungle A to B = 60 km
Learn more:
https://brainly.com/question/20330990?referrer=searchResults
What are the common factors of 18xy and 32xyz
Answers
To check the answer: 2xy(9+16x) = 18xy and 32xyz
Hope this helps.
Take care,
Diana
which is true about the functional relationship shown in the graph
Answers
Answer:
D) it shows the functional relationship , the cost of the apples is a function of weight.
Step-by-step explanation:
Given : Graph between cost of the apples and the weight of apples.
To find : Which is true about the functional relationship shown in the graph.
Solution : We can see from the graph is showing the relation between cost of an apple and weight of apple .
Therefore, D) it shows the functional relationship , the cost of the apples is a function of weight.
Round 38,237 to nearest ten thousand
Answers
hope it helps!
The blanket is 2.25 meters long and 1.8 meters wide.What is the area of the blanket?Write the answer in centimeters
Answers
To calculate the area of the blanket, multiply the length (2.25 meters) by the width (1.8 meters) to get 4.05 square meters. Then convert this to square centimeters by multiplying by 10,000 (since 1m^2 is 10,000 cm^2), resulting in an area of 40500 square centimeters.
The area of the blanket can be calculated by multiplying its length by its width. We start with the measurements in meters and then convert the result into centimeters.
First, we find the area in square meters:
Area = length × width = 2.25 m × 1.8 m = 4.05 m²
Since there are 100 centimeters in a meter, we need to convert each dimension from meters to centimeters before we can find the area in square centimeters. This means we multiply each meter by 100 to get the dimension in centimeters:
Length in centimeters = 2.25 m × 100 cm/m = 225 cmWidth in centimeters = 1.8 m × 100 cm/m = 180 cmArea in square centimeters = length in cm × width in cm = 225 cm × 180 cm = 40500 cm²So, the area of the blanket is 40500 cm².
Suppose each runner ran at the rate given in the table above for 3.1 miles. How much time will elapse between the first place finisher and the last place finisher?
Answers
Runner distance time
Arabella 7,299 feet 561 seconds
Bettina 3,425 yards 13 minutes, 12 seconds
Chandra 8,214 feet 0,195 hours
Divya 1,62 miles 732 seconds
To answer the question you must find the rate for each runner and then calculate the time to run 3.1 miles at each rate.
First you need to convert the data to obtain the rate in miles per second.
These are the main conversion identities:
1 mile = 5280 feet
1 mile = 1760 yards
1 hour = 3600 seconds
1 hour = 60 minutes
1 minute = 60 seconds
Arabella:
rate: 7,229 feet / 561 seconds * (1 mile / 5280 feet) =
= 0.00244 mile/second
Time to run 3.1 miles: V = d / t => t = d / V = 3.1 miles / 0.00244 mile/second = 1270 seconds
Bettina:
13 minutes + 12 seconds = 13*60 seconds +12 seconds = 792 seconds
rate = 3425 yards / 792 seconds * 1 mile / 1760 yards = 0.00246 mile/seconds
Time to run 3.1 miles = 3.1 miles / 0.00246 mile/second = 1260 seconds
Chandra:
rate = 8214 feet / 0.195 hours * 1 mile / 5280 feet * 1hour / 3600 seconds =
= 0.00222 seconds
Time = 3.1 mile / 0.00222 seconds = 0.389 hour = 1396 seconds
Divya:
rate = 1.62 miles / 732 seconds = 0.00221 seconds
Time = 3.1 mile / 0.00221 seconds = 1403 seconds
Now you can find the difference between fhe last and the first 1403 seconds - 1260 seconds = 143 seconds
That is equivalent to 2.38 seconds.
Simplify. 8u+9v+3u−5v
What is the answer?
11u + 14v
15uv
5u + 4v
11u + 4v
Answers
8u+3u= 11u
and
9v-5v= 4v
So the answer is 11u+4v
To simplify the expression 8u + 9v + 3u - 5v, combine the u terms and the v terms separately to get 11u + 4v.
Explanation:To simplify the expression 8u + 9v + 3u - 5v, we can combine like terms. Like terms have the same variables raised to the same power. Combining the u terms and the v terms separately, we have (8u + 3u) + (9v - 5v), which simplifies to 11u + 4v. Therefore, the answer is 11u + 4v.
What is the number in standard form?
5.8×10^-10
0.00000000058
A: 0.00000000005008
B: 0.0000508
C: 0.00000005008
D: 0.0000000508
E: 0.0000058
please help this is a unit test due today. thank you
Answers
The number 0.00000000058 in standard form is equal to [tex]58\times10^{-11}[/tex].
In Mathematics and Statistics, any numerical data (number) can be written in scientific notation as shown below:
a × [tex]b^{n}[/tex]
Where
a represent a real number.b represent an integer.Based on the information provided above, the numerical data (number) is given by 0.00000000058. When expressed in decimal notation, it can be computed as follows;
Numerical data = 0.00000000058
Numerical data = [tex]5.8\times10^{-10}=58\times10^{-11}[/tex]
Note: The number of zeros must be equal to ten (10).
In a certain card game , For every four blue cards, there are three yellow cards. There are a total of 84 blue and yellow cards in the game how many blue cards are in the game
Answers
4x + 3x = 84
The value of x from the equation is 12.
Blue cards: 4x = 4(12) = 48 blue cards
Yellow cards: 3x = 3(12) = 36 yellow cards
Hence, there are 48 blue cards in the game.
Answer:
It is 48
Step-by-step explanation:
Each minibus seats 14 people, and the school owns 5 minibuses. Use mental math to find how many students can ride in the school’s minibuses at the same time. Show your work.
Answers
14
x 5
———
70
70 students can ride in the schools minibuses at the same time.
Select the best answer for the question. 3. 9⁄11 = ?⁄22 A. 9 B. 4 C. 12 D. 18
Answers
x = 9 * 22 : 11
x = 198 : 11
x = 18
what is the relationship between "2ab and a+b"
Answers
First let's look at this numerically. At least for an initial level of verification. Let's take for example a = 9, and b = 4.
92– 42 = 81 – 16 = 65 or putting it into the terms we'd like to use: a2 = 81 (with a=9) and b2 = 16 (with b=4) and finally (9 + 4)(9 – 4) = 13 * 5 = 65! WOW! It really works! Try it out with several other numerical examples.
The rate 165 ounces and 11 boxes describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box?
11 ounces per box
12 ounces per box
15 ounces per box
16 ounces per box
Answers
11/11 = 1 box. Since I chose 11 I have to also use 11 for the ounces
165/11 = 15 ounces per box
Answer:11 boxes
Step-by-step explanation:
The distance between the goals on a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field. What is the distance from the front at one end of the field to the front of the box at the other end of the field
Answers
then you subtract 10.98 from 52
52-10.98=41.02 meters
Answer:
The required answer is 41.02 meters.
Step-by-step explanation:
Each box = 5.49 meters.
So, both boxes = [tex]5.49\times2=10.98[/tex] meters
Now the distance from the front of the box at one end of the field to the front of the box at the other end of the field is given by:
[tex]52-10.98=41.02[/tex] meters
Therefore, the required answer is 41.02 meters.
Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answers
y = 5.5x + 2
0.5x = 1
x = 2
y = 13
I hope any of this will help you. c:
The equation that could be used to solve the number of hours Ben ran during each half of the race will be y = 5x + 3 and y = 5.5x + 2
During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. Therefore, the number of miles covered will be:
y = 5x + 3
During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. Therefore, the number of miles covered will be:
y = 5.5x + 2
Then using both equations will be:
y = 5x + 3
y = 5.5x + 2
Subtract the equations
0.5x = 1
x = 1/0.5 = 2
Therefore, the value of y will be:
y = 5x + 3 = 5(2) + 3 = 13
Read related link on:
https://brainly.com/question/6499649
what adds to be the bottom number but also multiplies to be the top?
Answers
3 can be added to 5 and the answer would be 8
Elizebeth wants to challenge you to a toothpicks and tiles game using exactly 6 tiles solve her
find a pattern where the number of toothpicks is more than double the number of tiles
answer and explain
Answers
To solve Elizebeth's challenge, we can arrange 6 tiles in different ways to find a pattern where the number of toothpicks is more than double the number of tiles. The pattern is that the number of toothpicks is the same as the number of tiles when the tiles are arranged in a straight line.
Explanation:To solve Elizebeth's challenge, we need to find a pattern where the number of toothpicks is more than double the number of tiles. Let's start with 6 tiles. We can arrange these tiles in various ways and count the number of toothpicks:
Using all 6 tiles in a straight line, we would have 6 toothpicks.Using 5 tiles in a straight line and leaving one tile out, we would have 5 toothpicks.Using 4 tiles in a straight line and leaving two tiles out, we would have 4 toothpicks.Using 3 tiles in a straight line and leaving three tiles out, we would have 3 toothpicks.Using 2 tiles in a straight line and leaving four tiles out, we would have 2 toothpicks.Using 1 tile alone, we would have 1 toothpick.So, for 6 tiles, the number of toothpicks is either 1, 2, 3, 4, 5, or 6. The pattern we can observe is that the number of toothpicks is the same as the number of tiles when the tiles are arranged in a straight line.
Learn more about Pattern of toothpicks and tiles here:https://brainly.com/question/38066335
#SPJ2
Molly buys a scooter for $26.99. Robert buys a basketball for $12.89. How much more does Molly spend more money than Robert?
Answers
Mr. Gonzalez bought 5 pounds of grapes for $15.How much did he spend per pound?
Answers
Total cost : quantity = single cost
Every day, Jason's burrito stand uses 2 bags of tortillas. For how many days will 3/4 of tortillas last?
Answers
To find out how many days 3/4 of the tortillas will last, we can set up a proportion using the given information. By solving the proportion, we find that 3/4 of tortillas will last for 8 days.
Explanation:To find out how many days 3/4 of the tortillas will last, we can set up a proportion using the given information.
Let's assume that the total number of tortillas is represented by 'x'.
We know that 2 bags of tortillas are used every day, so in 'x' number of days, 2x bags of tortillas will be used.
According to the question, 3/4 of tortillas should last 'x' number of days. So, we can set up the proportion: 2x / x = 3/4.
To solve this proportion, we can cross multiply: 2x * 4 = x * 3. Simplifying, we get 8x = 3x. Dividing both sides by 3, we get x = 8.
Therefore, 3/4 of tortillas will last for 8 days.