The definition of a function is " a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output." (Mathinsight)
Therefore is a number (x values) appears more than once in the domain then this would not be a function since it doesn't fit the definition of a function.
Janelle's family earns about $60,000 per year. She has been accepted to State U and
Greenlawn College and is comparing their financial aid packages.
State U:
.
Sticker price = $28,000
• Net price = $12,000
Greenlawn College:
• Sticker price = $60,000
• Net price = $9,000
Which statement below is TRUE?
Based on the evaluation of information given, the true statements for the option are ;
state university has a lower sticker price than greenlawn.greenlawn college is providing janelle more grants and scholarships.one factor that impacts net price is family income.Given the packages for State University and Greenlawn College :
Grants and scholarships = Sticaker price - net priceGreen lawn scholarship = $60000 - $9000 = $51000
State university = $28000 - $12000 = $18000
The net price is the amount which the student actually pays for entry. Hence, Green lawn College is the best option for Janelle if decison is strictly based on cost.
A sticker price of $28000 is lesser than $60000. Hence, State University has a lower sticker price.
In determining, net price, the family income is a strong factor which is usually considered.
Hence, the false statement is ; if making a decision strictly based on cost, janelle's' best option is state university
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What is the integral of 2x?
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Integral of 2x is :
[tex]{x}^{2} + c[/tex]The ratio of students who wear glasses to the total class is 2:5
a. What is the ratio of student who wear glasses to those who don't in simplest form?
b. If there are 15 students who don't wear glasses, how many students are in the class?
students
c. If 5 of the students who didn't wear glasses now do, what is the ratio of students who wear glasses
to those who don't in simplest form?
Answer:
a. 2:3, b. 25 students, c. 3:2
Step-by-step explanation:
a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.
b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.
c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.
If f(x)= –2x+3 then f(3) – f(4)=
Answer:
2
Step-by-step explanation:
F(3) means that we plug in 3 for the x value of the original equation, and F(4) means that we plug in 4 for the x value of the original equation
F(3) = -2(3) + 3
= -3
F(4) = -2(4) + 3
= -5
- 3 -(-5) = 2
Answer:
2
Step-by-step explanation:
Step 1: Solve for f(3)
[tex]f(3) = -2(3)+3[/tex] [tex]f(3) = -6 + 3[/tex] [tex]f(3) = -3[/tex]Step 2: Solve for f(4)
[tex]f(4) = -2(4) + 3[/tex] [tex]f(4) = -8 + 3[/tex] [tex]f(4) = -5[/tex]Step 3: Subtract f(4) from f(3).
[tex]f(3)-f(4)[/tex] [tex](-3)-(-5)[/tex] [tex]-3 + 5[/tex] [tex]2[/tex]Therefore, the answer is 2.
find the value of x and y. SHOW WORK
Please help with showing the points in the table
Answer:
attached
Step-by-step explanation:
Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc
What is the equation of the line in point slope form with a slope of m=-2/3 passing through the point (-5,-2)
Answer:
[tex]m=− 32 ≈−0.666666667[/tex]
Step-by-step explanation:
Peter says, "If you subtract 14 from my number and multiply the difference by -7 , the result is -91 ." What is Peter's number?
Answer:
x = -77
Step-by-step explanation:
based on the given conditions
x - 14 = -91
x = -91 + 14 then calculate the difference between -91 - 14 = -77
thus x which is peters number = -77
Convert 47/16 to a decimal using long division.
2.9375 is the answer
3 is the rounded up answer
i cant show steps cuz :p
sorry
anyway hope tis helps
Answer:
47/16
is basically dividing
47÷16
Long Division for 47 divided by 16
=2.9375
Please Help Me I Will Give You The Brain Thing And Extra Points.
Write the equation of the line that has a slope of 2 and passes through the point (-3,4)
A)y = 2x - 2
B)y = 2x + 2
C)y = 2x + 7
D)y = 2x + 10
solve the system using the elimination method.
3x - 7y = -18
4x - 2y = -24
Find the quotient. 28,134 ÷ 47
Answer:
28,134 / 47 = 598.6
Step-by-step explanation:
For the division of 28,134 ÷ 47, the quotient is determined as 598.596.
What is the quotient of a number?Quotient refers to the result obtained when one number (dividend) is divided by another number (divisor).
When you perform division, the quotient is the answer or the result of the division operation.
For the division of 28,134 ÷ 47, the quotient is calculated as;
28,134 ÷ 47
= 28,134 / 47
= 598.596
Therefore, for the division of 28,134 ÷ 47, the quotient is determined as 598.596.
Learn more about quotients here: https://brainly.com/question/33838790
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please help will give brainliest
and please do not scam
Answer:
Answer: 8PM and 8AM
Step-by-step explanation:
2 |x-2| -12 = 0
2 |x-2| = 12
|x-2| = 6
x-2 = 6
x= 8
12 noon + 8 Hrs
= 8PM
x-2 = -6
x = -4
12 noon - 4 hrs
= 8AM
There were 768 towels on sale at the local store. 24 women purchased equal amounts of towels and left the shelf empty. How many towels did each woman purchase?
Answer:
Each women purchased 32 towels.
Step-by-step explanation:
Each women purchased 32 towels, because there are 768 towels in sale and 24 women, which mean each women take 32 from the 768. 768/24=768 or 24 women * 32 towels = the 168 towels on sale.
= Homework: Section 9.6
Question 16, 9.6.61
O Point
The perimeter of a rectangle is to be no greater than 160 centimeters and the width must be 35 centimeters. Find the maximum length of the rectangle.
Answer:
here is an an example
Step-by-step explanation:
Let x = the width of the rectangle
P = 2l + 2w
2(40) + 2x ≤ 150
80 + 2x ≤ 150
2x ≤ 70
x ≤ 35 cm
If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height h after t seconds is given by the equation h(t) = -16t2 + 120t. How long will it take the rocket to return to the ground?
A) 7.5 seconds
B) 16 seconds
C) 3.75 seconds
D) 120 seconds
Answer:
A) 7.5 seconds
Step-by-step explanation:
Height of the ground is zero
-16t^2 + 120t = 0
Divide both sides by 16
-t^2 + 7.5t = 0
Factor out t
t(-t + 7.5) = 0
From the zero product rule
t = {0, 7.5}
0 would be time of launch
7.5 is time back to the ground
1/3× 21/4-11/2÷22/5?? .btw they are improper fractions
[tex] \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \div \frac{22}{5} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \times \frac{5}{22} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{5}{4} \\ = \frac{7}{4} - \frac{5}{4} \\ = \frac{2}{4} \\ = \frac{1}{2} [/tex]
Answer:[tex] \frac{1}{2} [/tex]
4. The sum of three consecutive oven integers is 84. What are the three numbers?
Answer:
The required numbers are 26 , 28 and 30
Step-by-step explanation:
Given that the sum of the three even integers is 84.
If x = 3, find the value of x2 + 2x
Answer:
15
Step-by-step explanation:
[tex]x^{2} + 2x = 3^{2} + 3 * 2 = 9 + 6 = 15[/tex]
3 · 2 = 6
2 · 3 = 6
6 + 6 = 12
Have a luvely day!
express ratio as a fraction in simplest form
a. 10 yards to 10 feet
hint *there are 3 feet in every 1 yard
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
The dimensions must be the same
10 yards = 10 × 3 feet = 30 feet
ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]
158 divided by 37 I don’t get it what is the answer
Answer:
4.2702702703
=
4 Remainder 10
Step-by-step explanation:
158 divided by 37 = 4.270
The result of 158/37 is a non-terminating, repeating decimal.
The repeating pattern above, 270, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 158/37 = 4.(270): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 158 / 37 = 4.270… .
158 divided by 37 in decimal = 4.270
158 divided by 37 in fraction = 158/37
158 divided by 37 in percentage = 427.02702703%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 158 and 37, of course.
Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 158, and the denominator, e.g. 37, have been inserted.
Answer:
4.2703
Step-by-step explanation:
A 3-column table with 4 rows is shown. The first column has entries Florida, Hawaii, Montana, Oregon. The second column is labeled Population with entries 19,317,568, 1,392,313, 1,005,141, and 3,899,353. The third column is labeled Area (miles squared) with entries 53,927, 6,423, 145,552, and 95,997.
Which statements are true? Check all that apply.
The population density for Montana can be found using the ratio 1,005,141:145,552.
The population density for Oregon can be found using the ratio 95,997:3,899,353.
The population density for Hawaii is greater than the population density for Florida.
The state with the smallest population density is Oregon.
The state with the smallest population density is Montana.
Answer:
It's the first and last one
Step-by-step explanation:
I just did it
Answer:
A) The population density for Montana can be found using the ratio 1,005,141:145,552.
E)The state with the smallest population density is Montana.
Step-by-step explanation:
Eighth grade Y.14 Solve equations with the distributive property SRP Solve for u. -9.6u - 6.96 = -3(2.4u – 4.72) – = U = Submit
Answer:
2.93 repeating
Step-by-step explanation:
Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches How much flour does Nate need to make his cookies? 1 cups 62 cups 12 61 cups 71 cups
Answer:
12
Step-by-step explanation:
Before the sale, the store had 100 pairs of flip-flops in stock. After selling some they noticed that 3/5 of the flip flops they have left are blue. If the store has 39 pairs of blue flip flops, how many pairs of flip flops (any color) have they sold?
Answer:
35
Step-by-step explanation:
A functionf(x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box.
f(x)=
Answer:
y = -1/2x + b meaning f(x) = -1/2x + b
Step-by-step explanation:
Use two points on the graph that you can find the value of or use Slope = raise/run
let use points (2,0) and (0, 1)
slope = (change in the y-value)/(change in the x-value.
slope = (1 - 0)/(0 - 2)
slope = 1/-2 or -1/2
Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.
slope = raise/run
slope = 1/-2 or -1/2
Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .
y= mx + b
0 = -1/2(2) + b
0 = -1 + b
1 = b
Now write your equation: y = mx +b where m = -1/2 and b = 1
y = -1/2x +b
Point A is located at (-2,-1) on the coordinate plane. Point A is reflected over the x-axis to create point A′. What ordered pair describes the location of A'?
Answer: (-2,1)
Step-by-step explanation:
When reflecting over the x-axis, you keep the x-axis and invert the y-axis.
Given g(x)=x2-3x+8 evaluate
A) g(4). B) g(-5)
Answer:
g(4) = 12
g(-5) = 48
Step-by-step explanation:
I will assume that you meant g(x)=x^2 - 3x + 8,
A) To find g(4), substitute 4 for each instance of 'x' in this function:
g(4) = (4)^2 - 3(4) + 8, or
g(4) = 16 - 12 + 8, or
g(4) = 12
Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48
g(-5) = 48
Answer:
A) 12
B) 18
Step-by-step explanation:
A) 4^2 - 3(4) + 8
16 - 12 + 8 = 12
B) -5^2 - 3(-5) + 8
25 + 15 + 8 = 48
Bill has two dollars and 2 cents. How much money does he have?
Answer:
He has $2.02
Step-by-step explanation:
You answered the question in the first sentance.
translate seven minus three times a number into an algebraic expression