Answer:
C
Step-by-step explanation:
4/2 =2
12/6 =2
20/10 =2
Let f(x) = 4x2 + x + 1 and g(x) = x2 − 2. Find g(f(x)). Show each step of your work.
Answer:
the answer to this question is
[tex]8x^{2} +2x[/tex]
What is the value of x?
57+3x+6=90degree
60+3x=90
3x=90-60
3x=30
x=30/3
x=10
Answer:
[tex] \boxed{x \degree = 9 \degree} [/tex]
Step-by-step explanation:
[tex] = > 90\degree + 57\degree + (3x + 6)\degree = 180\degree \\ \\ = > 57\degree + (3x + 6)\degree = 180\degree - 90\degree \\ \\ = > 57\degree + (3x + 6)\degree = 90\degree [/tex]
Two Angles are Complementary when they add up to 90° (a Right Angle).
[tex] = > 57 \degree + (3x + 6) \degree = 90 \degree \\ \\ = > 57 \degree + 3x \degree + 6 \degree = 90 \degree \\ \\ = > 63 \degree + 3x \degree = 90 \degree \\ \\ = > 3x \degree = 90 \degree - 63 \degree \\ \\ = > 3x \degree = 27 \degree \\ \\ = > x\degree = \frac{27}{3}\degree \\ \\ = > x\degree = 9\degree[/tex]
I need help! Please
Answer:
Step-by-step explanation:
[1,2]
local maxima means curve is curved downwards.
in [1,2] it is curved downward.
Answer:
The answer is [1,2]
Step-by-step explanation:
Do you understand now.
Feel free to ask for further explanation
A movie producer held a preview screening of her new movie to find out how the film would be received by viewers of different age groups. The table shows the number of viewers of different age groups who rated the movie as excellent, average, or poor. Note: A rating of "excellent" means the audience liked the movie, while a rating of "poor" means the audience disliked the movie.
Age Excellent Average Poor Marginal Total
16-30 78 33 43 154
30-44 33 41 37 111
45+ 38 23 20 81
MT: 149 97 100 346
Out of the total number of respondents, the percentage of respondents in the 30-44 age group who rated the film as excellent rounded to the nearest hundredth of
Answer:
120%
Step-by-step explanation:
Because the answer is 1 1/5 that converted to a percentage(%) is 120%.
9.53% people between the age 30 to 44 rated the movie as excellent.
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.
According to the given question.
We have a data of people of different ages who rated the movie as excellent, Average, and poor.
Now,
Total number of people between the age 30 to 44 who rated the movie excellent is 33
And, the total number number of people who watched the movie is 346.
Therefore, the percentage of people who are in between 30 to 44 and rated the movie as excellent is given by
[tex]percentage = \frac{total\ number\ of\ people\ between\ 30\ to\ 44\ and\ rated\ movie\ as\ excellent\ }{total\ number\ of\ people\ who\ watched\ the\ movie}[/tex]
[tex]\implies percentage = \frac{33}{346} =9.53\%[/tex]
Hence, 9.53% people between the age 30 to 44 rated the movie as excellent.
Find out more about percentage here:
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a builder has to fix 3 Walls that have fallen down.He needs 2kg of cement for each wall.How much will he need altogether in kilograms
Answer: 6 kilograms
Step-by-step explanation:
3 walls * 2 kilograms each = 6 kilograms in total
Write a four-digit whole number that is divisible by 2. Use a divisibility rule and explain how you know that your number is divisible by 2.
Answer:
2378
Step-by-step explanation:
it is even. plus 8 is a multiple of 2
Answer:
2738
Step-by-step explanation:
2738 divided by 2 is 1369, and 1369 multiplied by 2 is 2738 also I checked on a calculator lol.
Which of the following points does not lie in the solution set to the inequality y = 1/3x + 5?
A) (6,3)
C) (-3,8)
D) (12,3)
B is wrong
Answer:
The answer is A: (3,6)
A city has a population of 2.8 million people. 45% of the population are male. How many females live in the city?
____________________________
Solution,
Total population:2800000
Total population of males in percent=45%
total population of females in percent=100%-45%=55%
Total number of females= 55% of 2800000
=1540000
Hope it helps..
Good luck on your assignment
____________________________
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.
Answer: - 2.5
Step-by-step explanation:
The point R is - 2.5,
The numbers on the number line are arranged sequentially and in regular increment of 1 with only the integer numbers being displayed and ticked. The point R sits directly in between - 3 and - 2. Therefore, to accurately obtain the position of the blue dot, we take the average of both positions binding the blue dot. That is - 3 and - 2
Average = ( - 3 + - 2) / 2
Average = - 5 / 2 = - 2.5
Answer: yea it it - 2.5 i just did that test and got it right <3
Step-by-step explanation:
HELP ASAP!! What is the output value for the following function, f(x) = 5x - 2 if the input value is 3?
A. 17
B.51
C. 13
D. 1
Please helpp!
Answer:
C) 13
Step-by-step explanation:
f(x) = 5x -2
f(3) = 5(3) -2
f(3) = 15 - 2
f(3l) = 13
Plzzzzzz help me.......
Answer: 4 terms and 8 factors
Step-by-step explanation:
^
An angle in standard position crosses the unit circle at (0, - 1). Which could be the angle measures?
It could be 270, -90 in degrees
or if you're in radians it would be 3/2 pi or -1/2 pi
Kelsey received 9 birthday gifts from her friends. Three gifts were wrapped in yellow
paper, 3 gifts were wrapped in red paper, 2 gifts were wrapped in purple paper, and
1 gift was wrapped in orange paper. What is the probability that the first gift Kelsey
opened was wrapped in purple paper?
Answer: 2/9
Step-by-step explanation:
From the question, we are told that
Kelsey received 9 birthday gifts from her friends and that three of the gifts were wrapped in yellow
paper. Also, 3 gifts were wrapped in red paper, 2 gifts were wrapped in purple paper, while the remaining
1 gift was wrapped in orange paper.
The probability that the first gift will be in purple paper will be the number of gifts in purple paper divided by the total number of gifts. This will be:
= 2/9
c 21/
D 101
2
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost
for x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25.
There was no sales tax on this purchase. Which equation could be used to find x?
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?
Answer: I answered most of your question below
Step-by-step explanation:
Well in basic high school math, you prolly will never HAVE to factor square binomials. It becomes more of an issue when you take the limit, and there is a zero in the denominator and blah blah.
But to answer your question. You can pretty much factor any trinomial with the basic rule. Sometimes youll have to complete the square because the trinomial wont be factorable until then. The main use of factoring trinomials tho is to find the value of x. Most trinomials usually equal 0 when youre in high school math. So you factor and make both equations equal 0. Another case where you might need to factor is when you are dividing a trinomial by a binomial. You can factor the numerator and denominator and potentially cross out two terms that divide to equal 1. Overall, its really helpful.
I never really felt the need to actually factor square binomials. Its the thing like a^2 - b^2 = (a + b)(a - b), right? Its basically the same thing with what i said about the dividing stuff. One of those terms might be the exact same as one of the terms from the factored trinomial. Then you can cross out two entire terms
A trinomial is an expression that has three terms.
Square trinomial
A square trinomial is simply a perfect square trinomial, and it is represented as:
[tex]\mathbf{a^2 + 2ab + b^2 = (a + b)^2}[/tex]
Difference of square binomials
This is easily identified because, the terms of the square binomials are perfect squares.
The difference of square binomials is represented as:
[tex]\mathbf{a^2 - b^2 = (a + b)(a - b)}[/tex]
Sums and difference of cubes
When cubes are added or subtracted, they can be expressed using the following
[tex]\mathbf{a^3 + b^3 = (a + b)(a^2 - ab + b^2)}[/tex] --- sum of cubes
[tex]\mathbf{a^3 - b^3 = (a - b)(a^2 + ab + b^2)}[/tex] --- difference of cubes
Read more about binomial and trinomial at:
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Please Somebody Help Me!
Answer:
-15
Step-by-step explanation:
g(-1) = -2(-1)^2 -4 = -2 *1 -4 = -6
f(-2) = (-2)^2 -3 = 4 -3 = 1
3* [g(-1)+ f(-2) ]
3( -6+1)
3 ( -5)
-15
A single story house is to be built on a rectangular lot 70 feet wide by 100 feet deep. The shorter side of the lot is along the street. The house must be set back 30 feet from the street. It also must be 20 feet from the back lot line and 10 feet from each side lot line. What is the greatest area that the house can have, in sq feet?
Answer:
250 sq ft
Step-by-step explanation:
Since the shorter side is along the street and the setback is 10ft from each side, the house is 50 ft wide
and 100 -20 -30 = 50 ft long
50 x 50 = 250 sq ft
The greatest area of the given house is 2500 square feet.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
To find the greatest area that the house can have, you need to determine the dimensions of the house.
The width of the house will be the distance between the two side lot lines, which is 70 feet - 10 feet - 10 feet = 50 feet.
The depth of the house will be the distance between the front and back lot lines, which is 100 feet - 30 feet - 20 feet = 50 feet.
The area of the house is :
50 feet x 50 feet = 2500 sq feet.
This is the greatest area that the house can have.
Learn more about the Area of the rectangle here:
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The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.
What is the length of the lower base, ZX?
14 units
units
18 units
units
Answer:
18units
Question:
The complete question as seen from other website is stated below:
The height of trapezoid VWXZ is 8(square 3) units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.
What is the length of the lower base, ZX?
Step-by-step explanation:
VW = 10units
WY = 8√3
XY = ?
ZX = ?
Find attached the diagram obtained from the information (1st image).
To determine XY, we would apply the tangent ratio.
Tan 60 = opposite/adjacent
Tan60 = (8√3)/XY
XY = (8√3)/ Tan60
In a 30°-60°-90° triangle theorem:
Find attached the diagram (2nd image)
Tan 60 = opposite/adjacent
Tan 60 = √3/1
Tan60= √3
XY = (8√3)/ Tan60
XY = (8√3)/√3
XY = 8units
ZX = ZY + XY
VW = ZY = 10units (the breadth of rectangle are equal)
ZX = 10 + 8
ZX = 18 units
Simplify: x(x-2)-3x(2x-1)
Answer:
-5x^2 +x
Step-by-step explanation:
x(x-2)-3x(2x-1)
Distribute
x^2 -2x -6x^2 +3x
Combine like terms
-5x^2 +x
Answer:
x^2-2x-6x^2+3x
x^2+x-6x^2
-5x^2+x
If m vU = 70 and m st = 30 then m 2 = 20 50 35
Answer:
C.
Step-by-step explanation:
mVU = 70
According to a Theorem, mVU = 2(m<2)
So,
m<2 = mVU /2
m<2 = 70/2
m<2 = 35
Cancel mom please help me with this I’m stuck and I don’t know how to do this
Answer:
20
Step-by-step explanation:
The triangles are similar so we can use ratios
8 32
--- = -----
8+5 32+x
Using cross products
8(32+x) = 32(13)
Divide each side by 8
(32+x) = 32(13)/8
32+x = 4*13
32+x =52
Subtract 32
x = 20
Please help! Correct answer only!
Dillon and some of his friends are going rock climbing this weekend. In preparation, Dillon purchased 8 sports drinks to bring, including 6 lime flavored drinks.
If Dillon randomly chooses to place 4 drinks in the red cooler, what is the probability that all of them are lime flavored?
Write your answer as a decimal rounded to four decimal places.
Answer:
The answer will be 0.75 chance of all of them being to together
Step-by-step explanation:
I think hope this helps ;)
does anyone know the bottom answer please
Answer:
6000000 divided by 10 = 600000
Step-by-step explanation:
Your answer should make sense
PLEASE HELP ANSWER WILL GET BRAINLIEST!! What is the value of x in the equation
Answer:
-8
Step-by-step explanation:
¾(¼x + 8) - (½x + 2) = ⅜(4-x) - ¼x
3x/16 + 6 - x/2 - 2 = 3/2 - 3x/8 - x/4
3x/16 + 4 - x/2 = 3/2 - 3x/8 - x/4
3x/16 - x/2 + 3x/8 + x/4 = 3/2 - 4
3x/16 - 8x/16 + 6x/16 + 4x/16 = 3/2 - 8/2
(3x - 8x + 6x + 4x)/16 = - 5/2
5x/16 = - 5/2
5x * 2 = -5 * 16
10x = - 80
x = -80/10 = -8
Can any one please help me in number 4
Answer:
150.72
Step-by-step explanation:
The volume of a cylinder is 2πrh. We have r = 3 and h = 8 so volume is 48π or 150.72.
B is two fifths of c 4a = 3c work out the ratio a:b:c give your answer in its simplest form where a, b and c are integers
Answer:
a : b : c = 12 : 10 : 15
Step-by-step explanation:
Given that: b = [tex]\frac{2}{5}[/tex] of c
i.e b = [tex]\frac{2c}{5}[/tex] ............... 1
2c = 5b
So that;
c = [tex]\frac{5b}{2}[/tex] .................... 2
Also,
4a = 3c
a = [tex]\frac{3c}{4}[/tex] ................ 3
⇒ a = [tex]\frac{3}{4}[/tex] × ([tex]\frac{5b}{2}[/tex])
a = [tex]\frac{15b}{8}[/tex] ................. 4
15b = 8a
b = [tex]\frac{8a}{15}[/tex] ................. 5
Comparing the derived equations:
From equations 2 and 3,
a:c = [tex]\frac{15b}{8}[/tex]: [tex]\frac{5b}{2}[/tex] = 4:5
From equations 1 and 2,
b:c = [tex]\frac{2c}{5}[/tex] : [tex]\frac{5b}{2}[/tex] = 2:3
But a common value of b = 15, gives;
a : c = 12 : 15 and b : c = 10 : 15
Thus, a : b : c = 12 : 10 : 15
The ratio a:b:c in its simplest form is 15:8:20
Ratios and ProportionsGiven the following parameters
b = 2/5 c4a = 3ca = 3/4cTo get the ratio of a:b:c, we will substitute the value of a and b into the ratio to have:
a:b:c = 3/4c : 2/5c :c
Multiply through by 20 to have:
a:b:c = 3/4c * 20 : 2/5c * 20: 20c
a:b:c = 15c:8c:20c
a:b:c = 15:8:20
Hence the ratio a:b:c in its simplest form is 15:8:20
Learn more on ratio here: https://brainly.com/question/2914376
What Is the Area of the Triangle?
Step-by-step explanation:
To find the area of a right triangle, you multiply the two legs of the triangle and then divide that result by 2. The reason this works is because a right triangle's area is exactly half the area of a rectangle using the same legs.
Answer:
A=1/2bh
=1/2×4×8
=1/2×32
=16.
Find an equation for the line that passes through the points (2, 3) and (-6,5).
Please I need help
Answer:
work is shown and pictured
Will give brainliest :) What is the domain of the graphed function?
Answer:
D: { x≥0}
Step-by-step explanation:
The domain is the input values to the function
The domain is the x values
D: { x≥0}
Answer:
Brainliest! as you promised!
Step-by-step explanation:
x>= 0
every number above 0 is a answer becuase the domain is the x-axis and the line starts at 0 and keep on going to the right
A rope weighs 600 grams per meter of length.What is the weight in kilograms of 12.2 meters of this rope?