f(x) = 3x for x = –4
Answer:
Step-by-step explanation:
f(x)=3x+x^4. f(x)=3x+x4 f ( x ) = 3 x + x 4.
solve the system of equations
-3y+4x=13
-5y-6x=-67
Answer:
{x,y} = {67/16,-15/4}
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] 2y = -8x + 26
[2] y = -4x + 13
// Plug this in for variable y in equation [1]
[1] 4x + 5•(-4x+13) = -2
[1] -16x = -67
// Solve equation [1] for the variable x
[1] 16x = 67
[1] x = 67/16
// By now we know this much :
x = 67/16
y = -4x+13
// Use the x value to solve for y
y = -4(67/16)+13 = -15/4
Amy made a scale drawing of a theater. The scale she used was 1 inch : 3.5 feet. If the actual width of the stage is 84 feet, how wide is the stage in the drawing?
Answer:
24 inches
Step-by-step explanation:
I divided 84 by 3.5 getting 24 as my answer. So i knew that the stage is 24 inches wide on the drawing.
what is the vaule of x
The library holds 200 books on 5 shelves. The unit rate is the number of books
per shelf. Explain how you find the answer to the number of books that are
held on each shelf.
Answer:
40 books are held on each shelf
Step-by-step explanation:
To find the unit rate you would divide the 200 books by the 5 shelves. this would give you 40 books per shelf.
A city has a population of 330,000 people. Suppose that each year the population grows by 3.75%. What will the population be after 7 years?
Use the calculator provided and round your answer to the nearest whole number.
people
5
?
Answer:
429 058 people
Step-by-step explanation:
We will use the population growth formula.
Initial population * e ^ (rate * time)
With the information given, the equation will look like this:
[tex]330000 * e^(0.0375*7)[/tex]
(The numbers in the parantheses are exponents.)
Plug this into the calculator and you will get:
429 058 people.
Let me know if you have anymore questions.
Show that x=1 is not a solution to 4x+2 2 = 13.
Answer:
Replacing x = 1 in the equation above, we have: (4x1) + 22 = 13
=> 5 +22 = 13 => 27 [tex]\neq[/tex] 13
So 27 is not equal to 13 => x=1 is not a solution to 4x+22 = 13.
Step-by-step explanation:
Answer:
x=-9/4
Step-by-step explanation:
DUE TODAY PLEASE SHOW WORK
Answer:
1/9yx
Step-by-step explanation:
what is 3x+3(x+y). I need help answering this algebra I question
Answer:
6x + 3y
Step-by-step explanation:
3x + 3x + 3y (use the distributive property)
6x + 3y
Select the correct answer.
What is the product of -3 1/3 and -8 7/10?
A. 9/5
B. 2
C. 175/30
D.
29
Answer:
awser 29
Step-by-step explanation:
`22
Answer:29
Step-by-step explanation:
help me plzzz!?!?? true or false
Answer:
false, true, false
Step-by-step explanation:
A. False - She has 15 plants
B. True - She has 4 plants that are 7-9 and 4 plants that are 10-12
C. True - Medain means middle, and since it is an even number, and it's between 9 and 10, there's a good chance it's around 11
what is the slope of the line (-3,-6) and (9,-2)
Answer:
the slope is 1/3
please correct me if I am wrong, as I have not done this in a while.
Step-by-step explanation:
I used the formula (y2-y1)/ (x2-x1)
Jack is making bread dough. One recipe requires 3/4 cup of flour and 1 1/8 tap of salt. If he wants to triple the recipe,how much of each ingredient will he need
Answer:
jack would need 2 1/4 cups of flour and 3 3/8 taps of salt
Step-by-step explanation:
Answer:
3 and 3/8 tap of salt and 2 and 1/4 cups of flour
Step-by-step explanation:
Write an algebraic expression that models the given situation.
24 more than the product of 2 and a number.
Enter the correct answer in the box.
Answer:
2x + 24
Step-by-step explanation:
The product of 2 and a number is: 2x
because product means multiply. 2 and a number means 2 times an unspecified number represented as x. 24 more than that product just means to add 24 to the product of 2x.
Answer:2x + 24
Sorry I was gonna do it when it was posted but I was grounded that time sorry. Have a great day!
15 point question
The pressure P of a gas varies inversely as its
volume V and directly as the temperature T. A
certain gas has a pressure of 2.7 atm, a
volume of 3.6 L, and a temperature of 324 K.
If the volume of the gas is kept constant and
the temperature is increased to 396 K, what
will the new pressure be?
Answer:
The new pressure P₂ is 3.3 atm
Step-by-step explanation:
Pressure of gas = 2.7 atm
Volume = 3.6 L
Temperature = 324 K
Now we are given that volume of the gas is kept constant.
Temperature is increased to 396 K
We need to find the pressure.
The formula used is: [tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}[/tex]
We have P₁ = 2.7
T₁ = 324 K
T₂ = 396 K
P₂ = ?
Putting values in the formula and finding P₂
[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}\\\frac{2.7}{324}=\frac{P_2}{396}\\P_2=\frac{2.7}{324}\times 396\\P_2=0.0083 \times 396\\P_2=3.3[/tex]
So, the new pressure P₂ is 3.3 atm
Shelter A has a capacity of 300 beds and is 60% occupied. Shelter B is 30% occupied. The ratio of the occupancy of Shelter A to Shelter B is 1 : 2. How many beds are in Shelter B?
Answer:
1200 beds
Step-by-step explanation:
Shelter A has a capacity of 300 beds and is 60% occupied.
The amount of beds occupied =
60% × 300 beds
= 60/100 × 300
= 180 beds
Shelter B is 30% occupied.
Let the number of beds in Shelter B = x
30% × x = 0.30x beds
Hence:
180 beds + 0.30x beds
The ratio of the occupancy of Shelter A to Shelter B is 1 : 2.
Let the sum of the proportion = 1 + 2 = 3
Hence:
Number of beds in Shelter B =
2/3(180 beds + 0.30x beds) = 0.3x
2/3(180 + 0.30x) = 0.3x
Cross Multiply
2(180 + 0.30x) = 0.3x × 3
360 + 0.6x = 0.9x
Collect like terms
360 = 0.9x - 0.6x
360 = 0.3x
x = 360/0.3
x = 1200 beds
Therefore, the number of beds that are in Shelter B is 1200 beds
4. Solve the following equation: 9x - 6 +7x = 16x - 6
Answer: the answer is 0=0
Step-by-step explanation:
floor. How many tooth picks will it take to
build 12 stories? How many marshmallows
will it take to build 12 stories?
would love to help but I need the size of tooth picks and marshmallows and how tall each story needs to be
what is the first step when solving this equation: 2(x-4)+6=3x+19
Answer: The first step is to follow order of operations so parenthesis goes first e potential next multiplication and division and finally adding and subtracting.
Step-by-step explanation:
Pls I need help ASAP
Answer:
2x+12=22
Step-by-step explanation:
the side we don't know is x and there are 2 and there are 2 lengths the same in a rectangle. we know one of them and it is 6 so we do 6 x 2 which is 12.
Find the total monthly cost for this plan to buy.
Loan Rate Insurance Repairs
Gas
Extra Miles
Misc.
Total Cost
$470.60
$125.00
warranty $69.00 $0.00
$55.50
Answer: $720.10
Step-by-step explanation:
I got this by adding the prices all together
33 1/3% of 27
I have no clue how to solve this
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
33⅓ % = 1/3
1/3 x 27 = 9
Please help!! What is RS?
Answer:
RS = 47Step-by-step explanation:
RV=VU and SW=WT means [tex]VW=\frac{RS+UT}{2}[/tex]
So:
[tex]3x+5=\dfrac{2x+15+6x-37}{2} \\^{\qquad\times2\qquad\qquad\qquad\qquad\times2} \\6x+10=8x-22\\^{\qquad-10\qquad-10}\\6x=8x-32\\^{-8x\qquad-8x}\\-2x=-32\\^{\div(-2)\quad\div(-2)}\\x=16\\\\RS=2x+15=2\times16+15=32+15=47[/tex]
Which number line shows the solution set of the inequality 162 – 15 > 9?
Answer:
147 > 9
Step-by-step explanation:
162 - 15 > 9
147 > 9
you dont have any number lines, but if you add it to your question, i will edit my answer to tell you what one it is...
Hope this Helps!!
Please help I will give brainliest, and everything else!!!!! Use the distributive property to find the value. (5y + 2 )8
Answer:
40y + 16
Step-by-step explanation:
8(5y + 2)
40y + 16 ## ^ multiply 8 by everything inside the parenthesis. (Distributive POE)
Answer:
40y+16
Step-by-step explanation:
Subtract 23.4 − 8.78 = Haven't been taught how to do this
Answer:
14.62
Step-by-step explanation:
23.4-8.78
so align it like if you were going to subtract it like this:
23.4
- 8.78
You have to add a zero behind the four just so it can be easier for you,
23.40
- 8.78
--------
Now subtract it
I will give you the answer so you know if you are correct or wrong
find the missing angle in the picture below. please help!:)
Answer:
24°
Step-by-step explanation:
Let's represent the unknown angle with x
So ;
66+x=90
x=90-66
x=24°
Therefore 24° is the missing angle.
Answer:
24°
Step-by-step explanation:
The missing angle is 90-66 = 24°.
Choose the symbol that makes the following sentence true:
⅝ __ ⁷/12
<
=
>
5/8 is greater then 7/12.
Step-by-step explanation:
Find the least common denominator or LCM of the two denominators:
LCM of 8 and 12 is 24
For the 1st fraction, since 8 × 3 = 24,
5/8=5x3/8x3=15/24
Likewise, for the 2nd fraction, since 12 × 2 = 24,
7/12= 7x2/12x2=14/24
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
15/24>14/24 or 5/8>7/12
Company A rents a bounce house for $100 rental fee plus $20 per hour. Company B rents a bounce house for $40 per hour . Let h=the number of hours the bounce house is rented.Write an expression that shows the cost of renting a bounce house from each company
Answer:
A= 100+20h B=40h
Step-by-step explanation:
A=100+20h
B= 40h
Answer:
For company A:
100 + (20h)
OR
100 + (20 x h)
For company B:
40h
OR
40 x h
Step-by-step explanation:
For company A, you are multiplying 20 by h because you must pay $20 per hour. Then, you have to add 100 to that because there is a $100 dollar rental fee.
For company B, you are multiplying 40 by h because you must pay $40 per hour. There is no rental fee, so that means you don't have to add anything.
Hope this helps!
You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.
Let x = the number of miles traveled and y = the total cost for the trip.
Answer:
Uber: y = .25x + 3
Lyft: y = .75x
Step-by-step explanation: