Answer:e
B
Step-by-step explanation:
Eb
In the equation, f(x)=2x-4(x+1), what is the value of f(-14)?
A. 32
B. -32
C. 5
D. 24
Answer:
D. 24
Step-by-step explanation:
Plug in -14 to the equation:
f(x) = 2x - 4(x + 1)
f(-14) = 2(-14) - 4(-14 + 1)
Simplify:
f(-14) = -28 - 4(-13)
f(-14) = -28 + 52
f(-14) = 24
So, D is the correct answer.
Suppose you have 7 dimes and 6 nickels in your pocket. How many ways can you reach
into your pocket and select one of each type?
solve 3^x+3=30 (will give brainlest for the correct answer)
Answer:
x=3
Step-by-step explanation:
3^x+3=30
3^x=27
3^3=27
x=3
Answer:
Step-by-step explanation:
3 x 3 = 9 + 3 = 12
30 divided by 12
= 2.5
divide (27x^3+ 12x) by 3x^2 (due tomorrow)
Answer:
9x+4/x
Step-by-step explanation:
hope this helps!
✨SOLVE THE SOLUTION TO EACH SYSTEM OF INEQUALITIES ✨ PLS HELPPPPP ME
4. Emilio asks his classmates what month they were born. He finds that 15
out of 125 classmates were born in July. If there are 1,280 students in
Emilio's school, how many students can he expect to have birthdays in July
based on the experimental probability?
Ok
Answer:153
Step-by-step explanation:
From the question, we are informed that Emilio asks his classmates what month they were born and that he finds that 15 out of 125 classmates were born in July. This gives us a fraction of 15/125 = 3/25.
If there are 1,280 students in Emilio's school, the number of students that he can expect to have birthdays in July would be:
= 3/25 × 1280
= 153.6
There will be 153 students expected
an item has a listed price of $95 if the sales tax rate is 5% how much is the sales tax in dollars
Answer:
$4.75
Step-by-step explanation:
95 x 0.05 = 4.75
What is the number of possible permutations of 8 objects taken 4 at a time?
A.
24
B.
70
C.
1,680
D.
40,320
Answer:
1,680
Step-by-step explanation:
n!/(n-r)!
in this case n= 8 and r= 4
so 8!/(8-4)! = 1,680
The possible permutation of 8 objects taken at 4 a time will be 1680.
What is permutation?
The linear arrangement of the set of the orders or the linear arrangements of the numbers is called the permutation.
The number of possible permutations of 8 objects taken 4 at a time will be:-
[tex]^8C_4=\dfrac{8!}{(8-4)!}[/tex]
[tex]^8C_4=\dfrac{8!}{(4)!}[/tex]
[tex]^8C_4=\dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2}{4\times 3\times 2}=1680[/tex]
Therefore the possible permutation of 8 objects taken at 4 a time will be 1680.
To know more about permutations follow
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pleasee help please
Answer:hi
Step-by-step explanation:
5(x+3)-5
simplify this.
Answer:
5x+10
Step-by-step explanation:
Distribute:
=(5)(x)+(5)(3)+−5
=5x+15+−5
Combine Like Terms:
=5x+15+−5
=(5x)+(15+−5)
=5x+10
f(x) = x^2 +3x-2
F(a) = ?
find F(x) for the given domain.
Answer:
a^2 +3a-2
Step-by-step explanation:
Given the expression:
g(x) = x^2 +3x-2
We are to find f(a). To get this, we will simply replace x with a in the expression as shown;
g(a) = a^2 +3a-2
hence the required domain is expressed as g(a) = a^2 +3a-2
Look at the diagram. If ST = 15 and RT = 40, then RS =_____.
R———————S——————T
The length of RS is 55 unit.
What is Axiom of addition?The addition axiom states that when two equal quantities are added to two more equal quantities, their sums are equal. Thus, if a = b and y = z, then a + y = b + z.
We have, ST = 15 and RT = 40
Then RS can be get by adding the value ST + RT.
Apply Axiom of addition
then, RS
= RT + ST
= 40 + 15
= 55 unit.
thus, the length of RS is 55 unit.
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Veronica copies her uncle's address and phone number into her contact list. His area code is 775. His ZIP code is 89507. Which statement about the value of the 5 in 775 and 89,507 is true? * 5 points It is the same in both numbers It is 10 times as great in the ZIP code than it is in the area code It is 100 times as great in the ZIP code than it is in the area code It is 10 times as great in the area code than it is in the ZIP code
Answer:It is 100 times as great in the ZIP code than it is in the area code
Step-by-step explanation:
step 1
Veronica 's uncle ZiP CODE = 89507 = The value of 5 here, represents 5 Hundred-----500
Veronica 's uncle Area code= 775 = The value of 5 here represents 5 units--5
it will take a 100 times the value of 5 in the area code to be same as the value of 5 in the ZIP code
Step 2:
Therefore, we can say that the value of 5 is 100 times as great as the ZIP code than it is in the area code.
Sarah is allowed to watch no more than 10 hours of television each week. Sarah has already watched 6 hours of television. Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.
Answer:
Inequality = 6 + x ≤ 10
x(Number of hours more of television Sarah can still watch this week) = 4 hours
Step-by-step explanation:
Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.
We are told in the question that:
Sarah is allowed to watch no more than 10 hours of television each week.
This means :
Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.
Hence:
The number of hours left that Sarah can watch television in a week is represented as x
Our Inequality Equation =
6hours + x hours ≤ 10 hours
6 + x ≤ 10
Solving the inequality
x ≤ 10 - 6
x ≤ 4 hours
This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week
Expand the function f(x)=(3x+2)^4 with the binomial theorem, not factored
Step-by-step explanation:
Enter a problem...
Algebra Examples
Popular Problems
Algebra
Expand using the Binomial Theorem (3x+2)^4
(3x+2)4(3x+2)4
Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0nnCk⋅(an-kbk).
4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=044!(4-k)!k!⋅(3x)4-k⋅(2)k
Expand the summation.
4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4
Simplify the exponents for each term of the expansion.
1⋅(3x)4⋅(2)0+4
Hope this helps!
Answer:81x^4+216x^3+216x^2+96x+16
Step-by-step explanation:cause yussss
NO ONE IS HELPINGGG MEEEE
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A rectangle has a length of (3x2 -5x + 7) and a width of (-5x2 + 8x - 2). What is the perimeter of the rectangle?
A.
-4x2 + 6x + 10
B.
8x2 + 13x + 9
C.
-2x2 + 3x + 5
D.
-16x2 + 26x + 11
Answer: D
Step-by-step explanation: Just solve for perimeter of a rectangle by just plugging the side length in with these equations.
Samantha would like to purchase a new pair of shoes that cost $80.00. If she has a coupon for 25% of the price of the shoes, what will be the new price of the shoes after the discount?
A. $20.00
B. $4.00
C. $60.00
D. $18.00
Answer:
C.$60.00
Step-by-step explanation:
4m + 7 = -3m + 49 what does this
Answer: m = 6
Step-by-step explanation:
first, move the terms.
4m + 3m = 49 - 7
then, collect like terms and calculate.
7m = 42
then divide both sides.
m = 6
Answer:
m=42
Step-by-step explanation:
simplifying both sides of the equation then isolating the variable.
What is the difference between 10 x 4 + 5 and 10 x (4 + 5).
Answer:
The difference is that in the first equations you multiply the 10 by 4 first because of PEMDAS rule. But in the second equation you add the 4 and 5 before multiplying. Thats the only difference :D
Step-by-step explanation:
I hope this helps!!!!
Answer:
[tex]10*4+5\\By\ applying\ BODMAS, as\ there\ are\ no\ brackets\ we\ directly\ multiply(M)\ 10\\ with\ 4\ and\ add(A)\ the\ product\ with\ 5.\\[/tex]
[tex]Hence,\\10*4+5\\=40+5\\=45[/tex]
[tex]10*(4+5)\\By\ applying\ BODMAS,\ due\ to\ the\ presence\ of\ the\ brackets\ we\ carry\\the\ operations\ inside\ the\ bracket.\\ Hence,\\10*(4+5)\\=10*9\\=90[/tex]
[tex]See\ the\ difference!![/tex]
equavalent expression to (1/3) divided by 4/5
9514 1404 393
Answer:
(1/3)(5/4)(5/15)/(12/15)5/12Step-by-step explanation:
There are an infinite number of equivalent expressions. A couple of them are ...
(1/3)/(4/5) = (1/3)(5/4) . . . . . division is multiplication by the inverse
(1/3)/(4/5) = (5/15)/(12/15) . . . . converted to common denominators*
_____
* this latter form is useful in that the ratio is then the ratio of the numerators, 5/12
what is the function shown on this graph
A. y=3×+2.
B. y=1/3x -2.
C. y=3x-2.
D. y=-3x-2
Answer:
I'm pretty Shure b is ur answer
Find the slope, or rate of change, from the following ordered pair
(16,2) and (32,4)
Answer:
m = [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
Slope Formula is...
m= rise / run or [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Two Coordinate Points / Ordered Pair: (16,2) and (32,4)
Your rise is...
4 - 2
Your run is...
32 - 16
Together the fraction reads...
(4 - 2) / (32 - 16)
Then do the subtracting to get....
2 / 16 ( 2 over 16)
Don't forget to simplify...
*2 can go into 2 and 16
Making the equation....
1 / 8 (one over 8)
So your m (slope) is ... [tex]\frac{1}{8}[/tex]
It’s time to lock down the design details for the redesigned Brick and Egyptian candles. Because of manufacturing constraints, the base length for each candle has to be at least 2 cm and can be no more than 10 cm. Make a recommendation for the base dimensions of each candle. Explain how you determined your base dimensions. Your reasoning does not have to be all math related.
Answer:
THE SMALLEST FORMS:
- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3
- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3
- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3
- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3
The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.
THE BIGGEST FORMS:
- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3
- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3
- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3
- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3
The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is 0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle
The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market, you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.
If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.
Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:
Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4
The new length is 10-4=6 and the new width is 2+4=6.
Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)
Find the 52nd term in the following sequence.
-31, -41, -51, -61,
Answer:
[tex]a_{52}[/tex] = -541
Step-by-step explanation:
an equation for a line with a slope of zero.
Answer:
M=0
Step-by-step explanation:
Youre welcome
Answer:
y=3
Step-by-step explanation:
Can somebody plz help answer both word problems correctly thanks! And show the steps on how u got the answer for both question :))
WILL MARK BRAINLIEST WHEOVER ANSWERS FIRST :DD
Answer:
1. 24th 2. 140
Step-by-step explanation:
1. To figure out this problem, you would have to list the multiples of both 6 and 8.
6 (6, 12, 18, 24)
8 (8, 16, 24) because both have 24, that would be the answer.
2. There are 8 windows, all with the same perimeter. Each window's perimeter is 17.5 (17 1/2) so 8 windows would be 140 ft. (17.50 x 8 = 140)
help me plz...................................
Hey there!
• Reminder: “x” is a unknown number so will say it is an invisible 1!
x/9 = 6
• FIRST: MULTIPLY by 9 on BOTH SIDES
x/9 × 9 = 6 × 9
• CANCEL out: x/9 × 9 because that gives you 1
• KEEP: 6 × 9 because that gives the value of your “x”
• New equation:
x = 6 × 9
6 × 9 = 54
Because 54 ÷ 9 = 6
Answer:
x = 54 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
PLS HELP MATHH!!! FIVE STARS!!!
Polynomials are closed under subtraction.
Question 22 options:
True
False
Answer:
True
Step-by-step explanation:
sry if it wrong
7th grade math plz help
THE ANSWER IS NOT 15
Answer:
25
Step-by-step explanation:
90+x+2x+15=180
3x=75
x=25
Simplify:
3-2i
-11-8i
Answer:
1i and -19i
Step-by-step explanation:
3-2=1, therefor: 1i
-11-8=-19, therefor: -19i
