expand this expression
x(2x-3)
Answer:
2x² - 3x
Step-by-step explanation:
multiply the outside with the inside brackets
x × 2x = 2x²
x × (-3) = -3x
Answer:
x(2x-3)
Step-by-step explanation:
x(2x-3)
x times 2x equals 2x².
x times -3 is -3x.
2x²-3x.
Which statements about the graph of the function f(x) = –x2 – 4x 2 are true? Select three options.
The domain of the function is the real number and the range of the function is (-∞, 6].
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function f(x) = -x² - 4x + 2
The function can be written as
[tex]\rm f(x) = -x^2- 4x +2\\\\f(x) = -x^{2}- 4x - 4 + 4 +2 \\\\f(x) = -(x^{2} +4x +4) + 6\\\\f(x) = -(x+ 2)^2 + 6[/tex]
The domain is the real number and the range is (-∞, 6].
More about the function link is given below.
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Graph the linear function y = 5. Plot two points and connect them with a line.
graph of the linear function y = 5 is attached below. which is true for all the values of x.
What is a linear function?a function whose equation is of the form y = ax + b, where a and b are constants, a does not equal zero, and x is any real number, and whose graph is a straight line.
Given a linear function y = 5 here
The graph of that linear function will be a straight line that is attached below.
this function will be the same for all the values of x. since it is not dependent on the variable x
it will pass through points (0, 5), (1, 5), (-6, 5), (5, 5), (-9, 5),.... and so on.
therefore, Below is a graph of the linear function at y = 5. This holds true regardless of x's value.
Learn more about linear functions here:
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PLEASE FAST, IF YOU AWNSER FIRST YOU WILL GET THAT CROEN THING
Answer:
[tex]a \times b \\ (4y + 12)6x \\ 24xy + 72x \\ = 24x(y + 3)[/tex]
100 POINTS EASY QUESTION
Simplify the polynomial expression.
3x(-2x + 7) - 5(x - 1)(4x - 3)
Answer:
[tex]-26x^2+56x-15[/tex]
Step-by-step explanation:
[tex]3x(-2x + 7) - 5(x - 1)(4x - 3)[/tex]
Expand the brackets:
[tex]\implies -6x^2+21x-5(4x^2-7x+3)[/tex]
[tex]\implies -6x^2+21x-20x^2 +35x-15[/tex]
Collect like terms:
[tex]\implies -6x^2-20x^2+21x +35x-15[/tex]
Combine like terms:
[tex]\implies -26x^2+56x-15[/tex]
Answer:
Step-by-step explanation:
This is late reply. You can try searching online next time you need an answer in a hurry - most questions have been asked before: like here https://brainly.com/question/11412899
3x(-2x + 7) - 5(x - 1)(4x - 3)
= (-6x^2 + 21x) - 5(4x^2- 7x +3)
= -6x^2 + 21x - 20x^2 + 35x - 15
= -26x^2 + 56x -15
Please help quick !
Answer:
10 A. Quadrent 2
10 B. Quadrent 3
Step-by-step explanation:
Image
Which of the following rational functions is graphed below?
your car travels 308 miles on 11 gallons of gasoline. how many miles can it travel with 1 gallon of gas
Answer:
28 miles
Step-by-step explanation:
308/11 = 28 miles per gallon of gas
HELP MEEEEEEE PLSSSSSS
Step-by-step explanation:
[tex] \frac{1}{2} (11ft + 17ft) \times 12ft \\ \frac{1}{2} \times 28ft \times 12ft \\ divide \: 28 \: by \: 2 \\ 14ft \times 12ft = 168 {ft }^{2} \\ answer = 168 {ft}^{2} [/tex]
On average 113,204 aluminum cans are recycled in a minute. Approximately how many cans will be recycled in 16 days? (Express your answer in scientific notation. ) a. 2. 61 times 10 Superscript 9 aluminum cans b. 4. 35 times 10 Superscript 7 aluminum cans c. 1. 09 times 10 Superscript 8 aluminum cans d. 1. 63 times 10 Superscript 8 aluminum cans.
The number of cans that can be recycled in 16 days, written in scientific notation is 2.6 x 10⁹.
What are Scientific notations?
The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5x 10¹².
Given to us
Average 113,204 aluminum cans are recycled in a minute.
Firstly, in order to find the number of cans that can be recycled in 16 days, we need to find the number of minutes in 16 days. we know that 1 day has 24 hours where each hour has 60 minutes. therefore,
Number of minutes in 16 days = 16 x 24 x 60
Number of minutes in 16 days = 23,040 minutes
As it is given that on an average 113,204 number of cans can be recycled in a minute, therefore,
Total number of can that can be recycled = 113,204 x 23,040
= 2,608,220,160
= 2.6 x 10⁹
Hence, the number of cans that can be recycled in 16 days, written in scientific notation is 2.6 x 10⁹.
Learn more about Scientific notation:
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The stigma is the opening in a flower through which pollen moves to fertilize the eggs. Which characteristic would be most helpful to the stigma in capturing pollen?.
Answer:
having a sticky surface
Step-by-step explanation:
Just took the tests
rewrite the equation without the exponent
3^-4
[tex]3^{-4}=\dfrac{1}{3^4} =\dfrac{1}{81}[/tex]
x2−14x−32=0 What are the roots of the polynomial equation?
Answer:
x= - 8/3
Step-by-step explanation:
1- Multiply the monomials
2- Combine like terms
3- Rearrange variables to the left side of the equation
4- Divide both sides of the equation by the coefficient of the variable
5- Cross out the common factor
Write a recursive formula for 14, 9,4, -1, ...
Answer:
Step-by-step explanation:
14 - 5 = 9
9 - 5 = 4
4 - 5 = - 1
................
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 5
Please help me I need to finish this.
Answer:
10.2
Step-by-step explanation:
I stuck it into a calculator the exact number is ~10.295630141
PLS help!! This is due tomorrow
Answer:
x = 18
Step-by-step explanation:
So there is two ways, but I'm going with the way I remember
1/6 x = 3
1x/6 = 3 multiply by 1
x/6 = 3 then multiply by 6
x = 18
Given the net with dimensions below, find the surface area of the shape.
Answer:
184cm^2
Step-by-step explanation:
(5+5+6) * 10 = 160
6*4 = 24
160+24=184
there are 2 triangles so I am assuming they have the same dimensions
use the distributive property to rewrite this equation.
11x(3x+4y)
Which is the graph of y = 3sin(x) - 1
Answer:
It should look like the graphs above.
Hope this helps!
whats the answer for this oneeeeeeeeeee
Answer:
1.35
Step-by-step explanation:
the explanation to the question is in the photo I sent
rounding off to the nearest tenth
then the final answer is 1.4
Please help!
Eleven subtracted from a number
A) 11- x
B) 11x-11
C) C x/11
D) x- 11
Answer:
[tex]x-11[/tex]
Step-by-step explanation:
Let the number be x
Then we have,
x-11
Solve for h.
10 = 2h
Please answer with clear instructions so that i can apply this to other questions.
Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
[tex]\frac{1}{2}[/tex] n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )
n(n + 1) = 110 ← distribute parenthesis on left side
n² + n = 110 ( subtract 110 from both sides )
n² + n - 110 = 0 ← in standard form
Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)
the factors are + 11 and - 10 , since
11 × - 10 = - 110 and 11 - 10 = + 1 , then
(n + 11)(n - 10) = 0 ← in factored form
equate each factor to zero and solve for n
n + 11 = 0 ⇒ n = - 11
n - 10 = 0 ⇒ n = 10
However, n > 0 , then n = 10
number of terms which sum to 55 is 10
The equatin of line AB is y = 2x + 4. What is the equation of a line parallel to line AB in slope-intercept form that contains the point (3, -2)2
Answer:
Step-by-step explanation:
Parallel lines have the same slope, so if the slope of the given line is 2, the slope of the "new" line is also 2, and the slope-intercept equation becomes:
y = 2x + b.
Here you seem to have a "misprint," as "(3, -2)2 is not a valid expresion.
Supposing that y ou meant (3, -2), then our equation becomes
-2 = 2(3) + b, or -8 = b.
The desired equation is then y = 2x - 8
If this is not what you expected, please focus on your (3, -2)2 and rewrite it properly.
Find the 12th term of the geometric sequence 2, -8, 32, ...
The 12th term of the given geometric sequence is equal to -8,388,608.
Given the following sequence:
2, -8, 32, ...What is a geometric sequence?A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.
Mathematically, a geometric sequence is given by the expression:
[tex]a_n =a_1r^{n-1}[/tex]
Where:
r is the common ratio.a is the first term of a geometric sequence.Substituting the given parameters into the formula, we have;
[tex]a_{12} =2 \times -4^{12-1}\\\\a_{12} =2 \times -4^{11}\\\\a_{12} =2 \times -4194304[/tex]
12th term = -8,388,608.
Read more on geometric sequence here: brainly.com/question/12630565
Felix can paint a room, working alone, in 8 hours. Sandy can paint the same room, working alone, in 6 hours. How long will it take them if they work together?
In a concert band, the probability that a member is in the brass section is
0.50. The probability that a member plays trombone, given that he or she is in
the brass section, is 0.24.
What is the probability that a randomly selected band member is in the brass
section and plays trombone?
A. 0.74
• B. 0.26
O C. 0.48
D. 0.12
Answer:
D
Step-by-step explanation:
the odds are less than .24 so it must be 0.12
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
4 X 3= 12
6 X 3= 18
Please mark as Brainliest
Answer:
12
Step-by-step explanation:
View the question mark as x then cross multiply
18×4= 6×x
72= 6x
x is 12
the surface area of a pyramid is 85 square meters the side length of the base is 5 meters what is the slant height
Answer:
6 meters
Step-by-step explanation:
[tex]A=a^2+2a\sqrt{\frac{a^2}{4}+h^2} [/tex]is the formula that you use
h=vertical altitude and
a=side length of the base
[tex]85=5^2+(2*5)\sqrt{\frac{25}{4}+h^2}[/tex]
[tex]85-25=10\sqrt{\frac{25}{4}+h^2}[/tex]
[tex]\frac{60}{10}=\sqrt{\frac{25}{4}+h^2}[/tex]
[tex]6=\sqrt{\frac{25}{4}+h^2}[/tex]
[tex]36=\frac{25}{4}+h^2[/tex]
[tex]36-\frac{25}{4}=h^2[/tex]
[tex]36-6.25=h^2[/tex]
[tex]29.75=h^2[/tex]
Vertical altitude (h) and [tex]\frac{1}{2}a[/tex] and the slant height form a right triangle with the slant height being the hypotenuse
[tex]h^2+(2.5)^2=s^2 [/tex]where s=slant height
[tex]29.75+6.25=s^2[/tex]
[tex]36=s^2[/tex]
s=6 meters
Answer:
slant height = 6 meters
Step-by-step explanation:
surface area of pyramid: 2bs + b²
2*5*s + 5² = 85
10s = 85 - 25
10s = 60
s = 6
The slant height is 6 meters.
6. An ant travels at a constant rate of 30 cm every 2 minutes.-
a. At what pace does the ant travel per centimeter?
b. At what speed does the ant travel per minute?
(From Unit 2, Lesson 18.)
A:
4 seconds per centimer:
30cms 15 cms
---------------- -------------
2 minutes 1 minute
1 minute= 60 seconds
15 cms 1cm
----------------- = ----------------
60 seconds 4seconds
B: 15 cms per minute
30cms/2minutes
(divide by 2 to get speed for one minute)
15cm/1 minute