Answer:
(f - g)(3) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 2
g(x) = x + 1
Step 2: Find
Find (f - g)(x)
Substitute: (f - g)(x) = 4x - 2 - (x + 1)Distribute -1: (f - g)(x) = 4x - 2 - x - 1Combine like terms: (f - g)(x) = 3x - 3Find (f - g)(3)
Substitute: (f - g)(3) = 3(3) - 3Multiply: (f - g)(3) = 9 - 3Subtract: (f - g)(3) = 6Vance used the associative property to write (4.5 m + StartFraction 7 Over 8 EndFraction) minus 9 as the equivalent expression 4.5 m (StartFraction 7 Over 8 EndFraction minus 9). Did Vance apply the associative property correctly? Why or why not?
Yes, the terms with variables should be written first.
Yes, the terms can be regrouped and still be equivalent.
No, the order of the terms should have been changed.
No, the addition symbol was dropped in the second expression.
Answer: D
Step-by-step explanation:
No, the addition symbol was dropped in the second expression is not correct.
What is Expression?An expression is combination of variables, numbers and operators.
No, Vance did not apply the associative property correctly.
The associative property states that the grouping of terms in an expression can be changed without affecting the value of the expression.
However, in this case, Vance changed the order of the terms, but did not actually group them in a different way.
Additionally, Vance dropped the subtraction symbol in the second expression, which is incorrect.
The correct equivalent expression using the associative property would be:
(4.5 m + 7/8) - 9 = 4.5 m + (7/8 - 9)
From there, we could simplify the expression further, if needed.
Hence, No, the addition symbol was dropped in the second expression.
To learn more on Expressions click:
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A new LED light bulb uses 10 watts of power. Since energy = power × time , then the energy used for this light bulb can be found my multiplying the power times the time the bulb is lit. If the bulb is lit for one hour, the energy used will be 10 watt*hours or 10 Wh. If three 10 watt bulbs in one room are kept on for 5 hours, how many watt*hours of energy are used?
9514 1404 393
Answer:
150 Wh
Step-by-step explanation:
We know the energy per bulb is 10 Wh per hour, so the total energy used by 3 bulbs in 5 hours is ...
(10 Wh/(bulb·hour))×(3 bulbs)×(5 hours) = 10·3·5 Wh = 150 Wh
Each year for 3 years, the time it takes you to run a mile decreases by 10 seconds. Find the total change time
Answer: 109.5
Step-by-step explanation: EACH year for three years would be 1095 if you multiply 365 (each year) by 3 (the amount of years) and then divide that by 10. Im not entirely sure but I hope I helped
Simplify the numerator [n] and give the factors of the denominator [d] after simpifying.
Hi... U should do like this...
URGENT PLEASE HELP
Approximate the logarithm using the properties of logarithms, given
logb 2 ≈ 0.3562,
logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
㏒b(2b^3)
Answer:
kj gfbdhngfbd
Step-by-step explanation:
How to find the domain and range of numbers
Answer:
m a g i c t h a t ' s h o w
A mathematical model that estimates the average atmospheric concentration of carbon dioxide, C, in parts per million, x years after 1950 is
Answer:
C = 306 +1.3x
Step-by-step explanation:
In 1950 the average atmospheric concentration of carbon dioxide was 306 parts per million with an estimated increase of 1.3 parts per million every single year. Therefore we can use these numbers to create the following mathematical model.
C = 306 +1.3x
This model multiplies the number of years after 1950 (x) by the estimated carbon dioxide increase per year in parts per million, and finally adds the initial atmospheric concentration of carbon dioxide from 1950 to calculate the current atmospheric concentration of carbon dioxide
Which statement is true about function f, which is shown in the graph?
f(x)=x^6+10x^4-11x^2
Given q(x)=3x and r(x)=x2.
What is (r∘q)(2)?
a. 36
b. 10
c. 12
d. 24
Answer:
36
Step-by-step explanation:
(r∘q)(2)=
= ((3x)^2(2)
=(3*2)^2
=6^2
=36
help me I'm desperate I'm begging you please I'm about to break down help
Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P
Answer:
A) 11/P + 6
Let Ben’s age now be B
Anita’s age now is A.
(A - 6) = P(B - 6)
But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B
please make as brainleylist
e fence factorise completely
this expression
144
144 = 12² = (3 x 4)²
Hope this helps
The following is a conversion table for hours and minutes. Which numbers belong in the hours column?
1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6
Answer:
Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.
The complete table is given below. Then the correct option is C.
Hours Minutes
2 120 3 180 4 240What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The following is a conversion table for hours and minutes.
We know that in one hour, there are 60 minutes.
In two hours, there are 120 minutes.
In three hours, there are 180 minutes.
Similarly, in four hours, there are 240 minutes.
Then the complete table is given below.
Hours Minutes
2 120
3 180
4 240
Then the correct option is C.
The complete question is given below.
The following is a conversion table for hours and minutes. Which numbers belong in the hour's column?
Hours Minutes
120
180
240
More about the Algebra link is given below.
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What's three digit number closest to 300 using 6, 2, 7, 3
Answer:
326
Step-by-step explanation:
Its hard to explain but you get the idea lol
Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).
Answer:
Following are the solution to this question:
Step-by-step explanation:
C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.
They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:
[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]
[tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]
t = 1990:
[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]
[tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]
The discount price of a hat is $18. What is the regular price? $
PLZ HURRY!!!!!
This is urgent please help!
Answer:
try the last one
Step-by-step explanation:
A company called Blurb prints books. According to its advertisement, you get a 15% discount on all orders of 51 or more copies of the same book (up to 100 copies). Is the cost per order a linear function of the number of copies you order (up to 100)?
Answer:
Yes, the cost per order is a linear function of the number of copies you order (up to 100).
Step-by-step explanation:
Let;
y = Total cost of order from one copy up to 100 copies or dependent variable
a = Cost of 50 copies or fixed intercept
x = Cost of 51 copies or more up to 100 copies or dependent variable, i.e. 51 = x [tex]\leq[/tex] 100
b = Coefficient of x = 1 - Discount rate = 1 - 15% = 1 - 0.15 = 0.85
We can therefore represent have a function as follows:
y = a + bx ........................ (1)
Substituting b = 0.85 into equation (1), we have:
y = a + 0.85x ...................... (2)
Equation (2) implies that as b equal to 51 or more up to 100, y also increases. Equation (2) is therefore an example of linear function which will give an upward sloping straight line and can be rewritten as:
y = f(x) = a + 0.85x ................. (3)
Therefore, the cost per order is a linear function of the number of copies you order (up to 100).
the sum of four consecutive odd numbers is 48?
Answer:
The numbers are 9 + 11 + 13 + 15.
Step-by-step explanation: The equation for this is simple.
Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is 9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.
help me please? i needa help. am bad at maths.
Answer:
6/3 or 2 (you should probably write 2 though)
(there’s a couple notes in the pic too that will help you with slopes)
Diane ran 28.6 miles in a marathon She averaged 6 minutes per mile. How many total minutes did Diane run?
Answer:
171.6 minutes
Step-by-step explanation:
28.6*6
Help ASAP WILL NSRK BRAINLIST IF CORRECT
Answer:
(1,1)
Step-by-step explanation:
Answer right and I’ll give you brainliest
choose all the ones
Bella is taking classes at her local gym where a few pricing choices are available to her. She wants her average cost for each class to be below $6 per class. Which pricing choice has an average price less than $6 per class?
Choose all that are correct.
A.
$196 for 35 classes
B.
40-class pass for $260
C.
50-class pass for $250
D.
10-class pass for $55
E.
$342 for 45 classes
Answer:
A, C, D
Step-by-step explanation:
A. $5.60 per class
$196 divided by 35
B. $6.50 per class
$260 divided by 40
C. $5.00 per class
$250 divided by 50
D. $5.50 per class
$55 divided by 10
E. $7.60 per class
$342 divided by 45
Fill in the blank to find the y-intercept.
(0,_____)
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
the y intercept is the point on the graph where the line crosses the x axis
What is the value of p in the proportion below?
20/6 = p/12
O 2
O 10
O 40
O 72
Answer:
p = 40
Step-by-step explanation:
20/6 = p/12
Reduce the fraction on the left side.
10/3 = p/12
Cross multiply.
3p = 10 * 12
Divide both sides by 3.
p = 10 * 4
p = 40
Reagan uses 2 3/4 cups of vinegar in her salad dressing recipe. How much vinegar would Reagan use to make 5 recipes?
Answer:
13 3/4
Step-by-step explanation:
2 3/4 is 11/4 when converted into an improper fraction.
5 is 5/1 when converted into a fraction.
11*5 is 55 (numerators)
4*1 is 4 (denominators)
55/4 is 13 with 3/4 remaining
13 3/4
A recipe for biscuits says to mix 6 cups of flour with 2 cups of milk. How many cups of flour would you need for 3 cups of milk?
Answer:
9 cups of flour
Step-by-step explanation:
6 / 2 = 3
3 • 3 = 9
George bought 7,5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did george buy?
Answer:
7.5 x 12 = 90 to find out how many boxes
Then take the boxes x 1.3 = 117 pounds
Answer:
Déjà Vu
Step-by-step explanation:
i ve been reading this test before
pepper jackie has 7.5 bags of much to cover
Answer:
0.625 is equal to 5/8 bag,
Step-by-step explanation:
Answer:
Less Than 1 Bag
Step-by-step explanation:
I-Ready