The table below represents the distance a person runs as a function of time:
Time distance meters
x f(x)
10 60
13 78
16 96
19 114
he average rate of change of the function between x = 10 to x = 16 is m/s and represents the person's speed. (3 points)
Lester has sold $51 worth of sports drinks at his concession stand today. Each drink sells for $3. He hopes to sell at least $300 worth of drinks over the course of the entire day. Let x be the number of drinks he will sell over the rest of the day. Which inequality precisely represents the condition of Lester meeting his goal?
A.51 + 3x ≥ 300
B.51 + 3x > 300
C.3x ≥ 300+ 51
D. 3x > 300 + 51
x(x+8) = 256 square yards
solve for x
im having a lot of trouble please help
What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?
y−1=4(x−3)
y+3=4(x+1)
I agree with the second answer. Was this correct?
Given: -7x < -21.
Choose the solution set.
A. {x | x < -3}
B. {x | x > -3}
C. {x | x < 3}
D. {x | x > 3}
solve this inequality 2(4x-3)≥-3(3x)+5x?
Answer:
x ≥0.5
Step-by-step explanation:
Given : 2(4x-3)≥-3(3x)+5x.
To find : solve this inequality.
Solution : We have given that
2(4x-3)≥-3(3x)+5x.
Distributes 2 over (4x-3) and -3 over 3x.
8x - 6 ≥ -9x + 5x .
8x - 6 ≥ -4x .
On adding both side by 4x
8x + 4x - 6 ≥ 0 .
12 x - 6 ≥ 0
On adding both sides by 6.
12 x ≥ 6.
On dividing both sides by 12.
x ≥ [tex]\frac{6}{12}[/tex] .
x ≥ [tex]\frac{1}{2}[/tex] .
x ≥0.5.
Therefore, x ≥0.5
Estimate the decimal factors, then multiply to estimate the product.
1. 5.3 rounded to the nearest whole number is ____ .
2. 7.9 rounded to the nearest whole number is ____ .
3. (5.3)(7.9) ≈ ____ .
Answer:
1. 5
2. 8
3. 40
Step-by-step explanation: So rounding the factors is an easy way to estimate the product of 5.3 and 7.9.
The real answer is 41.87 and 40 is a reasonable approximation, Your welcome.
which blood type was donates by the largest percent of people?
PLZ HELPP ME WITH THIS MATH PROBLEM
Which of the following are the factors of t4 – 81? A. (t – 3)(t + 3)(t2 + 9) B. (t – 3)2(t + 3)2 C. (t – 3)(t + 3)2 D. (t2 – 9)(t2 – 9)
Please help me i really need help
n Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance? -16.75 + (5.72 + 16.75) Use the commutative property to get: -16.75 + (16.75 + 5.72) Use the associative property to get: (-16.75 + 16.75) + 5.72 On Friday, Elsbeth deposited her pay check for $872.56. What was the account’s final total? -$866.84 $878.28 $895.03 $903.10
Answer:
Option B. $878.28
Step-by-step explanation:
On Monday, Elsbeth's bank account balance was = $-16.75
She deposited a check = $5.72
On Thursday, she deposited = $16.75
Her new balance = -16.75+( 5.72 + 16.75)
= $5.72
On Friday Elsbeth deposited her pay check for = $872.56
The account's final total = 872.56 + 5.72 = $878.28
Elsbeth's account's final total was $878.28.
Option B. $878.28.
What is the x-intercept of a line that passes through the point (3, 4) and has a slope of 2?
If inflation is 4% a year compounded annually, what will it cost in 20 years to buy a house currently valued at $75,000.00?
Compound interest is the interest that is made from the principal and the interest as well in consecutive years.
The cost of the house in 20 years valued currently at $75,000 is $1,64,250.
What is compound interest?Compound interest is the interest that is made from the principal and the interest as well in consecutive years.
The formula for amount compounded anually:
A = P [tex](1 + \frac{R}{100})^{n}[/tex]
We have,
Principal = $75,000
Rate = 4%
Time = n = 20 years
The amount after 20 years:
A = P [tex](1 + \frac{R}{100})^{n}[/tex]
A = 75,000 [tex](1 + 0.04)^{20}[/tex]
A = 75,000 x [tex]1.04^{20}[/tex]
A = 75,000 x 2.19
A = $1,64,250
Thus,
The cost of the house in 20 years valued currently at $75,000 is $1,64,250.
Learn more about compound interest here:
https://brainly.com/question/28710847
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Let f(x)=8^x.
Which function represents a transformation of f(x) by a vertical stretch with factor 2??
A- g(x)=1/2*8^x
B- g(x)=8^2x
C- g(x)=2*8^x
D- g(x)=8 1/2^x
Please help and give reasoning with your answer. I’m very unsure.
The function that represents a vertical stretch of factor 2 of f(x) = 8^x is g(x) = 2 * 8^x.
Explanation:The function that represents a vertical stretch of factor 2 of the function f(x) = 8^x is g(x) = 2 * 8^x.
To understand why, consider that a vertical stretch by a factor of 2 means that every y-coordinate in the graph is multiplied by 2. So, if we want to stretch the function f(x) = 8^x vertically by a factor of 2, we multiply the function by 2 to get g(x) = 2 * 8^x.
Learn more about Vertical stretch of function here:https://brainly.com/question/30105263
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When multiplying numbers in scientific notation you blank the coefficients and substract the exponents?
Jackson can lay 6000 ft² of tile in 3 h. What is Jackson’s tile-laying rate?
divide 6000 by 3
6000 / 3 = 2000
so he can do 2000 sq ft per hour
The answer by musiclover10045 is correct - 2000 is the answer. I got it right on my quiz.
Graph ƒ(x) = -x + 2. Click on the graph until the graph of ƒ(x) = -x + 2 appears.
Answer with Step-by-step explanation:
We have to graph f(x) = -x + 2
When x=0 , f(x) = 2
When f(x)=0 , x=2
Hence, the graph passes through the points:
(0,2) and (2,0)
So, the correct graph of f(x) = - x + 2 is the last one which is shown below
Four people are painting a house. Zachary paints 1/5 of the house, Alyssa paints 33% of the house, Chloe paints 0.3 of the house, and Nicholas paints 0.17 of the house. Which choice lists the people in order from least to greatest by the amount of the house each painted?
Answer:
Nicholas, Zachary, Chloe, Alyssa.
Step-by-step explanation:
Given that Four people are painting a house. Zachary paints 1/5 of the house, Alyssa paints 33% of the house, Chloe paints 0.3 of the house, and Nicholas paints 0.17 of the house.
As such we cannot compare their works to order from least to greatest
Hence we can convert each portion into a decimal thus enabling comparison easier.
Zachary paints [tex]\frac{1}{5} =0.20[/tex] of the house
Alyssa paints [tex]33%=\frac{33}{100} =0.33[/tex] of the house
Chloe paints 0.3 of the house and
Nicholas paints 0.17 of the house.
In ascending order these can be written as
0.17, 0.2, 0.3, 0.33
Hence Nicholas, Zachary, Chloe, Alyssa.
When applying for a loan, you should _____.
1. Daniel served Dinner for table 14. The check came to $100. The customers tipped him 25%. How much was his tip?
2. Sammy served lunch for table 7. The total came to $55. The customers gave a 15% tip to Sammy. How much was his tip?
3. Cat served dessert for table 3 The total cost was $20. The customers give a tip of 12% to cat. How much was your tip?
At the Yum Yum Cafe , the waiters come binder tips and divide the total by the number of waiters. Today’s tip total is $132, and three waiters are working. How much money in tips does each waiter get?
Daniel, Sammy, and Cat receive $25, $8.25, and $2.40 respectively in tips. The total tip amount for the day is $132, and with three waiters working, each waiter gets an equal share of $44 in tips.
Calculating Tips for Waiters
To calculate the tip for each waiter, we will multiply the total bill amount by the percentage of the tip and then convert that percentage into a decimal. Here are the step-by-step solutions for each waiter:
Daniel's Tip: For Table 14, the bill was $100. A 25% tip is calculated as $100 x 0.25 = $25.
Sammy's Tip: For Table 7, the bill was $55. A 15% tip is calculated as $55 x 0.15 = $8.25.
Cat's Tip: For Table 3, the bill was $20. A 12% tip is calculated as $20 x 0.12 = $2.40.
To find out how much each waiter gets from the total tips, we add up all the tips: $25 + $8.25 + $2.40 = $35.65. Since the total tip amount for the day is $132, we divide this by the number of waiters working, which is three: $132 / 3 = $44. Therefore, each waiter gets $44 in tips.
The function y = h(x) is defined as follows:
h(1) =
and h(4) =
Calvin cleans 3/5 of his bathroom with 1/3 of a bottle of cleaning solution how much solution would he use if he cleaned the whole bathroom
Megan has a bag of beads. She uses 28 beads to make each necklace. She makes 12 necklaces. Megan has 135 beads left over.
Do the dimensions of 9 cm, 40 cm, and 41 cm form a right triangle? explain.
Math Help??
What is the value of X?
Find the sum of all numbers below 1000 that are divisible by 3 or 5
First of all, stop thinking on the number 10001000 and turn your attention to the number 990990 instead. If you solve the problem for 990990 you just have to add 993,995,996993,995,996 & 999999 to it for the final answer. This sum is (a)=3983(a)=3983
Count all the #s divisible by 33: From 33... to 990990 there are 330330 terms. The sum is 330(990+3)/2330(990+3)/2, so (b)=163845(b)=163845
Count all the #s divisible by 55: From 55... to 990990 there are 198198 terms. The sum is 198(990+5)/2198(990+5)/2, so (c)=98505(c)=98505
Now, the GCD (greatest common divisor) of 33 & 55 is 11, so the LCM (least common multiple) should be 3×5=153×5=15.
This means every number that divides by 1515 was counted twice, and it should be done only once. Because of this, you have an extra set of numbers started with 1515 all the way to 990990 that has to be removed from (b)&(c).
Then, from 1515... to 990990 there are 6666 terms and their sum is 66(990+15)/266(990+15)/2, so (d)=33165(d)=33165
The answer for the problem is: (a)+(b)+(c)−(d)=233168(a)+(b)+(c)−(d)=233168
Simple but very fun problem.
What is the function
PLEASE HELP
simplify the expression
2. 10r^(-7)t^3
If y = 2x - 3, then which of the following ordered pairs lies on the graph?