Which represents the inverse of the function f(x) = 4x?
Oh(x) = x + 4
Oh(x) = x - 4
h(x) = x
Oh(x) = = x
Answer:
y = x/4
Step-by-step explanation:
First, replace f(x) with y, so it's easier to find the inverse:
y = 4x
To find the inverse of this function, you would replace all the y's with x's and all the x's with y's, and then solve for y. That would be:
x = 4y
y = x/4
Therefore, the inverse function of y = 4x is y = x/4.
Statement A swimming pool contains 500 gallons of water. A hose is turned on, and it fills the pool at a rate of 24 gallons per minute. Which expression represents the amount of water in the pool, in gallons, after 8 minutes? A. 500 . 24 . 8 B. 500 + 24 + 8 C. 500 + 24 . 8 D. 500 . 248
Answer:
c. 500 + 24 * 8
Step-by-step explanation:
if there is 500 gallons of water already in the swimming pool and we are trying to add more and we are adding 24 gallons for 8 minutes to the already existing pool of water.
The expression 500 + 24 × 8 represents the amount of water in the pool, in gallons, after 8 minutes. The correct answer would be an option (C).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
If the swimming pool currently has 500 gallons of water in it and we are trying to add more, we would add 24 gallons of water over the course of 8 minutes.
As per the given information, the required expression would be as
500 + 24 × 8
Thus, the expression 500 + 24 × 8 represents the amount of water in the pool, in gallons, after 8 minutes.
Hence, the correct answer would be option (C).
Learn more about Expressions here :
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how are unit rates and equivalent ratios realted?
Answer:
A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... Next, divide the price by the pounds so you can find the unit rate.
Step-by-step explanation:
Answer:
A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... Next, divide the price by the pounds so you can find the unit rate.
Step-by-step explanation:
5+5-5-5+10. Gggggffggvgv
Answer:
10
Step-by-step explanation:
thanks
PRETTY EASY PLS HELP I BEG U
Answer:
Step-by-step explanation:
110 I think
Answer:
C
Step-by-step explanation:
The longer leg of the right triangle is 8 more than the shorter leg. The hypotonuse is 8 more than the longer leg. FInd all 3 sides
Answer:
4[tex]\sqrt{13}[/tex]
4[tex]\sqrt{13}[/tex] + 8
4[tex]\sqrt{13}[/tex] + 16
Step-by-step explanation:
as per the given information:
shorter leg = x
longer leg = x + 8
hypotonuse = x + 8 + 8
remember the Pythagorean theorem, which states
x^2 + y^2 = n^2
where x and y are the legs and n is the hypotenuse
so now one can set up an equation:
x^2 + ( x + 8 )^2 = ( x + 16 ) ^2
simplify and solve using inverse operations:
first preform the square
x^2 + x^2 + 16x + 64 = x^2 + 32x + 256
then preform inverse opertations and simplify
2x^2 + 16x + 64 = x^2 + 32x + 256
-x^2 -x^2
x^2 + 16x + 64 = 32x + 256
-16x -16x
x^2 + 64 = 16x + 256
- 64 -64
x^2 = 16x + 192
-16x -16x
x^2 - 16 = 192
x^2 -4^2 = 192
remember the differnt ways of writing a special square
(x - 4) (x + 4) = 192
x = 4[tex]\sqrt{13}[/tex]
now add 8 to find the longer leg
4[tex]\sqrt{13}[/tex] + 8
an add another 8 to find the hypotenuse
4[tex]\sqrt{13}[/tex] + 8 + 8
4[tex]\sqrt{13}[/tex] + 16
Choose the true statement.
-2 > -3
-2 < -3
-2 = -3
Answer:
The True answer is -2>-3
Explain how you can use equivalent fractions to find the quotient of 2÷3÷4.
Answer:
Just to let you know this is from another user on brainly i found before THIS IS NOT MT INFO
Step-by-step explanation:
2/3 ÷ 4
¨We use copy dot flip
The flip means make a reciprocal of the second number
2/3 * 1/4
Multiply the numerators
2*1 = 2
Multiply the denominators
3*4 =12
Put the numerator over the denominator
2/12
Simplify
1/6¨
Answer:
1/6
Step-by-step explanation:
You find a fraction that is equal 2/3 and has a multiple of 4 for the numerator. Then you have to multiply the numerator and the denominator by 2 then you get 4/6 divided by 4, since 2/3 is equal to 4/6. So the answer is 1/6.
- I wrote this myself so don't worry and I know this is the right answer! :)
please help... thank you.
Answer:
5
Step-by-step explanation:
nearest whole number for 24 16/17= 25, nearest whole number for 4 8/9= 5, 25/5=5
Using the distributive property, an expression equivalent to 34 + 16 is
A.2(17+ 8)
B.17(2+8)
C. 34+ (4) (4)
D. (2)(17) + (4) (4)
Answer:
A. 2(17+8)
Step-by-step explanation:
distribute and you get 2x17=34 and 2x8=16
-4b+ 5(1 - 6b) = 243
Which is better to buy 4.20 for 6 cans or 8.00 for 10 cans
Answer:
4.20 for 6 cans is better
Step-by-step explanation:
4.20 / 6 = 0.70 per can
8.00 / 10 = 0.80 per can
0.70 per can is cheaper/less expensive than 0.80 per can.
Can someone help me with this? I’m genuinely confused it’s been three hours and no one helped me :(
Answer:
wddfgfgjgfccvnjjxcvbfx bff
Answer:
as attached image shows
Step-by-step explanation:
Pls help i don't want to fail
Answer:
27/50
Step-by-step explanation:
Just do 9/10/3/5
Answer:If the question is asking for 9/10/3/5 the answer is 3/50; however, if the question is asking for (9/10) / (3/5), the answer should be 3/2.
Step-by-step explanation: The 3/50 answer comes from 9/10 which equals .9, dividing that by 3. That equates to .3, and then dividing by 5 which measures up to .06. From there you can turn .06 into a fraction being 3/50.
You get the 3/2 by dividing (9/10) by (3/5). .9/.6 is 1.5. When converted to a fraction 1.5=3/2. Hope this could help.
what is b when b^2=46
Answer:
b^2 = 46
b = √46 (or 6.78 rounded)
Answer:
b≈6.78
Step-by-step explanation:
Just punch in your calculator the square root of 46.
[tex]\sqrt{46} =b[/tex]
b≈6.78
answer for immediate brainliest
Answer:
No integers are irrational.
Step-by-step explanation:
Think about the real number system, whole numbers contain natural numbers, integers contain whole numbers, rational numbers contain integers, and real numbers contain all of these including irrational numbers. An irrational number is separate from the rest of the real numbers because it cannot be expressed or written as a fraction or decimal.
PLEASE SOMEONE HELP ASAP
1. conjugate -5+√x
2. conjugate 7-√b
-Please give an explanation!!
Answer:
1. [tex]-5-\sqrt{x}[/tex]
2. [tex]7+\sqrt{b}[/tex]
Step-by-step explanation:
The conjugate of a radical expression
[tex]a+\sqrt{b}[/tex]
is the expression
[tex]a-\sqrt{b}[/tex]
And vice-versa.
The conjugate is mostly used to rationalize radical expressions because the expression by its conjugate produces another expression without the radicals.
The question asks to find the conjugate of:
1. [tex]-5+\sqrt{x}[/tex]
The conjugate is
[tex]-5-\sqrt{x}[/tex]
2. [tex]7-\sqrt{b}[/tex]
The conjugate is
[tex]7+\sqrt{b}[/tex]
3.128 Who Smokes More: Male Students or Female Students? Data 1.1 includes lots of information on a sample of 362 college students. The complete dataset is available at StudentSurvey. We see that 27 of the 193 males in the sample smoke, while 16 of the 169 females in the sample smoke. We will investigate the difference in proportions of male and female students who smoke.
Answer:
0.0452
Step-by-step explanation:
Given that:
There are a total of 193 males in the sample.
Number of males who smoke = 27
There are a total of 169 females in the sample.
Number of females who smoke = 16
The ratio of people who smoke to the total number of people is given by the formula:
[tex]\dfrac{\text{Number of people who smoke}}{\text{Total number of people in the sample}}[/tex]
So, the ratio of males who smoke is given as:
[tex]\dfrac{27}{193}=0.1399[/tex]
And
The ratio of females who smoke is given as:
[tex]\dfrac{16}{169} = 0.0947[/tex]
The difference between the ratio is = 0.1399 - 0.0947 = 0.0452
Pllzzzzz i need help im in a dca helppp
15. What is the value of x in the figure bellow?
Answer:
x=22.5
Step-by-step explanation:
NEED HELP! PLEASE! ASAP! 55 POINTS!
Tell whether the given order pairs are solutions of the inequality.
y ≥ - 2x + 4 ; (0,4) (-1,8)
Answer:
both
Step-by-step explanation:
hi! let's plug in the ordered pairs into the equation. the x-coordinate is substituted for x in the equation, while the y-coordinate is substituted for y.
y≥-2x+4
(0,4)
4≥-2(0)+4
4≥0+4
4≥4
this is correct since 4 is equal to 4.
(-1,8)
8≥-2(-1)+4
8≥2+4
8≥6
this is also correct since 6 is less than 8.
therefore, both ordered pairs are solutions of the inequality.
WHAT DIS IZ MANE!!!!
Answer:
use symbolab ion feel like doin it but itll
get u the correct answer
Which of these equations best describes the line of best fit for the data in the scatter plot relating time and distance?
(Answer options in the picture)
Answer:
D
Step-by-step explanation:
The y-intercept can't be 1.7 it's too low of a number and there can't be no y-intercept in the problem because the line does meet the y-axis
Match each property to its example.
1. Commutative Property of Multiplication 0 x 3=0 2. Associative Property of Multiplication 4x 1 = 4 3. Identity Property of Multiplication 7 x 3=3x7 4. Zero Property of Multiplication (6 x 2) * 5 = 6 * (2 * 5)
Answer:
twyeyeueuu62772737 and that is what you would have
Answer:
0 x 3=0 :Zero Property of Multiplication4 x 1=4 : Identity Property of Multiplication7 x 3=3x 7 :Associative Property of Multiplication (6 x 2) *5=6* (2 * 5) : Commutative Property of MultiplicationStep-by-step explanation:
what is 5(-x) equal to?
Answer:
?
Step-by-step explanation:
where are the options?
The formula for the volume, v, of a cone having the radius,r, and the height is shown below v=1/2 πr2h write the formula to calculate the height, h
Answer:
h= 2v / πr²
Step-by-step explanation:
height of a cone is twice of it's volume divided by π and square of radius
Step-by-step explanation:
v = 1/2 πr²h
v / 1/2 πr² = 1/2 πr²h / 1/2 πr² (Divide both sides of the equation by 1/2 πr² to find the formula for height (h).
v / 1/2 πr² = h or h = 2v / πr²
Solving Systems of Equations by Graphing - Scavenger Hunt
Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity, and no one supplier can meet all the company’s needs. In addition, the suppliers charge different prices for the components. Component price data (in price per unit) are as follows:
Supplier
Component 1 2 3
1 $12 $13 $10
2 $15 $12 $10
Each supplier has a limited capacity in terms of the total number of components it can supply. However, as long as Edwards provides sufficient advance orders, each supplier can devote its capacity to component 1, component 2, or any combination of the two components, if the total number of units ordered is within its capacity. Supplier capacities are as follows:
Supplier 1 2 3
Capacity 525 975 900
If the Edwards production plan for the next period includes 1025 uni
Answer:
A)
Supplier
Component 1 2 3
1 125 900
2 525 300
B) Cost Table
1 2 3 Total
Component 1 1625 9000 10625
Component 2 7875 3600 11475
Total cost 7875 5225 9000 22100
Step-by-step explanation:
Table 1:
Supplier
Component 1 2 3
1 $12 $13 $10
2 $15 $12 $10
Table 2:
Supplier 1 2 3
Capacity 525 975 900
Now we are supposed to find production plan for the next period includes 1025 units of component 1 and 825 units of component 2
So,
Supplier
Component 1 2 3
1 125 900
2 525 300
Cost Table :
1 2 3
Component 1 [tex]13 \times 125[/tex] [tex]900 \times 10[/tex]
Component 2 [tex]15 \times 525[/tex] [tex]12 \times 300[/tex]
Cost Table
1 2 3 Total
Component 1 1625 9000 10625
Component 2 7875 3600 11475
Total cost 7875 5225 9000 22100
Andrea paid $9.99 to join an online music service. If she purchases 12 songs each month at a cost of $0.80 per song, what will be the total amount she has spent after 6 months?
Answer:
$67.59
Step-by-step explanation:
$9.99 + 6(12×$0.80)
$9.99 + 6($9.60)
$9.99 + $57.6
$67.59
Did mentally, so feel free to double check! ❤
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After 6 months of paying the subscription fee and buying 12 songs each month, Andrea will have spent a total of $67.59.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
To find the total cost of the songs,
= 12 songs × $0.80/song = $9.60
Then, the total cost of the subscription and the songs over 6 months:
= $9.99 + (6 × $9.60)
= $9.99 + $57.60
= $67.59.
So, after 6 months of paying the subscription fee and buying 12 songs each month, Andrea will have spent a total of $67.59.
Learn more about models here:
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How do I solve this?
Answer:
0.66
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
5(3)^2÷9
5(9)÷9
45÷9
5
Using PEMDAS to solve :)
Parentesis
Exponents
Multiplication
Division
Addition
Subtraction
on a scale, 1 inch represents 600 miles. How many miles does 3/4 represent