![Expand The Function.f(x)=(2x + 3)416x4 +[? ]x3+]x2+x +IX +](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/67aiK6F8z4pb6n208WeZYCEvKk6woBhQ.png)
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Answer:
f(x) = 16x4 + 96x3 + 216x2 + 216x + 81
Related Questions
The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and width of the triangle.
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Answer:
w = 22 in, h = 8 in.
Step-by-step explanation:
Reading the problem, I immediately see two equations. This hints me towards a system of equations problem.
Statement 1 is The width of a triangle is six more than twice the height.
The width (w) of a triangle is (=) six (6) more (+) than twice (2) the height (h).
Equation 1: w = 6 + 2h
Statement 2 is The area of the triangle is 88 in2.
The formula for the area of a triangle is [tex]\frac{wh}{2}[/tex]. So, we get our second equation.
Equation 2: wh/2 = 88
We see that we have the same number of equations as unknowns, two. This is important as it lets us know that we can find two unknowns in the two equations. If there are more unknowns than equations, then we cannot find the values of all the variables. Look for another equation in the problem. However, if the # equations greater than or equal to number of unknowns, then we are ready to start solving! So, we can now move to solving.
Equation 1 isolates one of the unknowns (w). So, we can replace w in the second equation with the right side of eq 1. Then, we simplify for h.
[tex]\frac{wh}{2} = 88[/tex]
[tex]\frac{(6 + 2h)h}{2} = 88[/tex]
[tex]\frac{6h + 2h^2}{2} = 88[/tex]
[tex]6h + 2h^2 = 176[/tex]
[tex]2h^2 + 6h - 176 = 0[/tex]
[tex]h = -11, 8[/tex] (assuming you know how to solve quadratics)
Since we know that heights of triangles cannot be negative, we find that [tex]h = 8[/tex] in.
For the final step, we plug [tex]h[/tex] into our first equation to find [tex]w[/tex].
[tex]w = 6 + 2h[/tex]
[tex]w = 6 + 2(8)[/tex]
[tex]w = 6 + 16[/tex]
[tex]w = 22[/tex]
So, the answer is w = 22 in, h = 8 in.
To check if we were right, we can plug the values into both equations to see if they are equal. I will skip equation 1 since we used that equation "as-is" to find w.
[tex]\frac{wh}{2} = 88[/tex]
[tex]\frac{22 * 8}{2} = 88[/tex]
[tex]11 * 8 = 88[/tex]
[tex]88 = 88[/tex]
The solution checks out!
PLEASE HELP ⁉️ POR FAVOR SOMEONE IM DESPERATE tHIS IS DUE IN THE mORiNG!
Answers
Answer:
See belowStep-by-step explanation:
1) Total points = 252) Points earned = 213) Percent score = 84%Proportion:
21 / 25 = 84% / 100%Solving the others in the table
21 out of 25 points:
21/25 = x/ 100 ⇒ x = 100*21/25 = 8415 out of 20 points:
15/20 = x/100 ⇒ x = 100*15/20 = 7547 out of 50 points:
47/50 = x/100 ⇒ x = 100*47/50 = 9428 out of 30 points:
20 / 30 = x/100 ⇒ x = 100*20/30 = 66.6619 out of 45 points:
19/45 = x/100 ⇒ x = 100*19/45 = 42.223 out of 4 points:
3/4 = x/100 ⇒ x = 100*3/4 = 75an expression for the area of a rectangular piece of sheet metal is X^2+8x+12.
An expression for the length of the same piece of sheet metal is x+6.
Determine an expression for the width.
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[tex]\text{Area of rectangle} = \text{Length} \times \text{Width}\\\\\\\implies \text{Width} = \dfrac{\text{Area of reactangle}}{\text{Length}} = \dfrac{x^2 +8x +12}{x+6} = \dfrac{x^2 + 6x +2x +12}{x+6}\\\\\\\\ = \dfrac{x(x+6) +2(x+6)}{x+6}=\dfrac{(x+6)(x+2)}{x+6} = x+2[/tex]
Answer the following questions,
0
(a) What number is 95% of 80
0
(b) 85% of what is 51?
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Answer:
95% of 80 is 76 and 85% of 60 is 51.
Step-by-step explanation:
Answer:
a. 76, b. 60.
Step-by-step explanation:
a) 80 * 0.95 = 76.
b) 0.85 x = 51
x = 51/0.85 = 60.
Please look at picture for question.
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Answer:
Amount spent on breakfest each day: 2B+J
Amount spent on granola bars each day: 2B
Amount spend on juice each day: J
Number of days buys breakfast: 7
pls help me i will give u thanks
Answers
Hope this helps!!
Answer:
c) (6,5)
Step-by-step explanation:
The horizontal axis represents x values
The vertical axis represents y values
can someone heelp me plz
Answers
Answer:
1052 is MLII, 450 is CDL, 952 is CMLII, and 942 is CMXLII.
Step-by-step explanation:
For 1052, M=1000 L=50 and II= 2 and if you add all those you get 1052. For 450, CD=400 and L=50 and if you add all those up then you get 450. For 952, CM=900 L=50 and II=2 and if you add all those up then you get 952. For 942, CM=900 XL=40 and II=2, and if you add all those up then you get 942.
One integer is 2 less than another. The sum of their squares is 34. Find the integers.
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Answer:
no se bro no se inglés así no se que bas a aaer
Step-by-step explanation:
pero puedes consultar por
nos
5. In the diagram above, zero represents the location of Martin Luther King Middle School Point K represents the
library, which is located to the east of the middle school. In words, create a real-world situation that could
represent point L, and describe its location in relation to 0 and point K.
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Answer:
1/12
Step-by-step explanation:
20% of 50. Mathmethics
Answers
Answer:
1000%
Step-by-step explanation:
just multiply both
brainliest pls
Answer:
10
Step-by-step explanation:
20 x 50
100
Please take a look at the picture
Answers
Answer:
x=-22.42
Step-by-step explanation:
-18.43=3.99+x
Move the variable to the left-hand side and move the constant to the right. Change their signs.
-x=3.99+18.43
Add.
-x=22.42
Change the signs on both sides of the equation.
x=-22.42
Hope this helps :)
f(x) = 9x ^ 2 - 3 then what is f(3) ? Work must be shown for this problem or no credit will be earned.
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Answer:
f ( 3 ) = 81
Step-by-step explanation:
→ Substitute in x = 3
9 × 3² - 3
→ Simplify
9 × 9 - 3
→ Simplify again
78
30/5.472 i need to use dividing decimals
Answers
Answer:
18.240
Step-by-step explanation:
Change the divisor 0.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
54.72 ÷ 3 = 18.240
and therefore:
5.472 ÷ 0.3 = 18.240
Both calculated to 3 decimal places.
1 8. 2 4 0
3 5 4. 7 2 0
− 3
2 4
− 2 4
0 7
− 6
1 2
− 1 2
0 0
− 0
0
hey I need someone to help me
Answers
Answer:
A and F
Step-by-step explanation:
You plug in each one and see which ever one gets 20.
A canoe travels 8 miles per hour downstream and 2 miles per hour upstream.
Let x represent the canoe's speed with no water current (still water) and y
represent the speed of the water current, in miles per hour. Then the situation
can be represented by this system of equations:
X+ y = 8
x - y = 2
Choose the two correct options.
A. The speed of the canoe in still water is 3 miles per hour.
B. The speed of the water current is 5 miles per hour.
C. The speed of the water current is 3 miles per hour.
D. The speed of the canoe in still water is 5 miles per hour.
Answers
Answer:
D
Step-by-step explanation:
I know this is super late and you probably don't need this, but for anyone who needs it, here is the answer!
Answer:
D and C
Step-by-step explanation:
We are doing the elimination method. We are subtracting so we can eliminate the x variable
x + y = 8
- (x - y = 2)
---------------------
0x + 2y = 6
(0x is there just to show that x is eliminated but the equation is now just 2y = 6)
now solve for y (divide 2 on both sides)
y = 3
Now we can use Y to find x. Use any equation (either x + y = 8 or x - y = 2) and then plug in the y value.
x - 3 = 2.
Add 3 on both sides and you get
x = 5
Now! From the question we see that x is canoe speed and y is water current speed. And since x is 5 and y is 3, the answer is D and C since the water current is 3 and canoe speed is 5. Hope this helps!!
-2.875 greater than or less than -2 7/8
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Answer:
They are both the same.
Step-by-step explanation:
-2.875
7/8 = 0.875 thus -2 7/8 is equal to -2.875
Please look the image attached
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Answer:
I think it is c
Step-by-step explanation:
I might be wrong wait for a second answer if it is the same then I think I am right
Given m \| nm∥n, find the value of x. m n t (4x+4)° (2x-16)° Answer:
Answers
Answer:
4x+4)° (2x-16)
Step-by-step explanation:
(4x+4)° (2x-16)°
What is the probability of rolling a number greater than 7 on a 6-sided die rolled
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how do I solve this?
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Its g is increasing
I guess you could just plug in 0, 1 and -1 and graph it.
how to find the circumference with a radius
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Answer:
The perimeter or circumference of the circle can be found using the equation C=2π(r), where r= the radius of the circle. Since we have two semi-circles we can find the circumference of one whole circle with a radius of 4, which would be 8π.
Answer:
the circumference is pi*diameter. diameter is radius*2, and so (radius*2)*pi is the circumference
A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 2, drawn from the 8, will not contain a defective computer.
What is the probability that a sample of 2 of the 8 computers will not contain a defective computer?
(Type an integer or a simplified fraction.)
Answers
Answer:
5/28
Step-by-step explanation:
First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.
The number of ways to choose 2 computers from 8 can be written as [tex]8\choose2[/tex], which is equal to [tex]\frac{8\cdot7}{2}[/tex], which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.
c¹⁰ ÷ c⁵ please help me asap thank you
Answers
Answer:
c^5
Step-by-step explanation:
All you have to do is take away the powers because of the law of indeces when dividing number with indices
Hope this helps :) im really bad at the explanations part :D
...........................................................
Which linear equation would produce a y-intercept of (0,-7) and a slope of 5?
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Hope this helps! :)
Hurry help plz
Solve for an angle in right triangles
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[tex]\cos \angle B = \dfrac{2}{7}\\\\\implies \angle B = \cos^{-1} \left( \dfrac{2}{7} \right) = 1.28^{\circ}[/tex]
You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much money will you have in your account after a year?
Answers
Answer:
5200 AED or 1404 USD
Step-by-step explanation:
You have 5000 in your account. If your money grows 4% each year, it's basically like multiplying by 1.04.
5000 * 1.04 = 5200
If the question is asking in USD, the conversion rate from AED to USD is
AED * 0.27 = USD
We can substitute
5200 AED* 0.27 = 1404 USD.
La probabilidad de que julio salga con carla es 0.75 , y la probabilidad de que salga con marisol es de 0.50. Si la probabilidad de que salga con carla o marisol es 0.85; calcular la probabilidad de que salga con ambas a la vez
Answers
La probabilidad de que Julio salga con Marisol y Carla al mismo tiempo es 0.40
What is the addition rule of probability for two events?For two events A and B, we have:
Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.
This can be written symbolically as:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Given that;
The probability that Julio goes out with Carla is 0.75, and
the probability that he goes out with Marisol is 0.50.
The probability that he goes out with Carla or Marisol is 0.85
To find:
The probability that he will date both at the same time.
Let we take:
A = event that Julio goes with Carla
B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:
[tex]P(A) = 0.75\\[/tex][tex]P(B) = 0.50[/tex][tex]P(A \cup B) = 0.85[/tex]To find: [tex]P(A \cap B)\\[/tex]
Using the addition rule, we get:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\0.85 = 0.75 + 0.50 - P(A \cap B)\\P(A \cap B) = 1.25 - 0.85 = 0.40[/tex]
Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40
Learn more about probability here:
brainly.com/question/1210781
The probability that Julio will date Marisol and Carla at the same time is 0.40.
Here, we have, For two events A and B, we have:
Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.
This can be written symbolically as:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Given that;
The probability that Julio goes out with Carla is 0.75, and
the probability that he goes out with Marisol is 0.50.
The probability that he goes out with Carla or Marisol is 0.85
To find:
The probability that he will date both at the same time.
Let we take:
A = event that Julio goes with Carla
B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:
P(A) = 0.75
P(B) = 0.50
P(A∪B)= 0.85
To find: P(A ∩ B)
Using the addition rule, we get:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
0.85 = 0.75 + 0.50 - P(A ∩ B)
P(A ∩ B) = 0.40
Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40.
Learn more about probability here:
brainly.com/question/1210781
#SPJ3
complete question:
The probability that Julio dates Carla is 0.75, and the probability that he dates Marisol is 0.50. If the probability that he goes out with carla or marisol is 0.85; Calculate the probability that he will date both at the same time.
if u help me ill give u brainliest
Answers
Answer:
150000000
Step-by-step explanation:
30x5000000=150000000
PLEASE HELP!!!!
On a Saturday, a library checked out 117 books. If 36 of the books were fiction, what is the ratio
of non-fiction books to fiction books checked out?
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117 - 36 = 81
4/9
Solution:
117-36 = 81
So out of the 117 books checked out, 36 of them were fiction and 81 were non-fiction, 36/81 simplified to lowest terms is 4/9
Cute Castle Toy Store is having its annual holiday sale, when every toy in the store gets
marked down. During the sale, Ted purchases 4 Mighty Muscle action figures to add to his
collection, each at $3 less than full price. Ted pays a total of $92. How much does each
Mighty Muscle action figure cost at full price?
Answers
Each Mighty Muscle action figure cost $26 at full price.
Let x represent the cost of Mighty Muscle action figure at full price.
He bought 4 Mighty Muscle action at $92, hence:
4(x - 3) = 92
Simplifying the parenthesis:
4x - 12 = 92
Add 12 to both sides:
4x - 12 + 12 = 92 + 12
4x = 104
Dividing both sides by 4:
4x/4 = 104/4
x = 26
Therefore, each Mighty Muscle action figure cost $26 at full price
Find out more at: https://brainly.com/question/15036999