Answer:
(a) These are the same function
Step-by-step explanation:
Given
[tex]x + x^2[/tex] and [tex]u + u^2[/tex]
Required
Are they the same?
Yes, they are the same function and this is proved below.
[tex]x + x^2[/tex]
Represent as a function:
[tex]f(x) = x + x^2[/tex]
[tex]u + u^2[/tex]
Represent as a function
[tex]f(u) = u + u^2[/tex]
Let x = u
Substitute u for x in [tex]f(x) = x + x^2[/tex]
[tex]f(u) = u + u^2[/tex]
This implies that:
[tex]f(x) = f(u)[/tex]
[tex]x + x^2 =u + u^2[/tex]
PS: The information that x and u are real numbers are for all real numbers; So, we can not assume that x and u are different numbers
Hence:
(b) and (c) are wrong
What is (a^2-b^2) factored out?
Answer:
(a+b)(a-b)
Step-by-step explanation:
because (a+b)(a-b):
If you use FOIL it will work backwards
Which percentage is the same as 3.21
Answer:
321%
Step-by-step explanation:
hope I helped Kkkkkkkk
need answer fast!
Find the product of ( 2x^2 − 4x + 3 ) ( 3x + 6 ) using the box method shown below. What will the monomial be in the box marked with a B?
Select one:
a. - 12x 2
b. - x 2
c. - x
d. - 12x
Answer:
[tex]-12x^2[/tex]
Step-by-step explanation:
Think of the box method as completing a chart or a multiplication table.
We can see that box B is in the second column of the first row. The second column is labeled by -4x. The first row is labeled by 3x. So, in order to fill out box B, you have to multiply -4x and 3x together.
To do so, multiply the terms' coefficients (the numbers in front of the variable). -4 times 3 makes -12. Then, multiply the variables - just keep the variable and add their exponents. x and x both have exponents of one, which makes [tex]x^1^+^1[/tex], resulting in [tex]x^2[/tex]. Put them together and the answer would be [tex]-12x^2[/tex].
ABC is a straight angle.
Find measure of ABX and measure of CBX
(can someone give me like 300pts? Please and Thank u) Whats the square root of 5923?
4. Kiran says "If I walk 3 miles per hour toward you, and you walk 3.4 miles per hour toward me,
it's the same as if you stay put and I jog 6.4 miles per hour.” What do you think Kiran means
by this? Is he correct?
Answer:
0.0000000000000000..00000000000000000000000
Step-by-step explanation:
Help please.
Algebra.
2/5 ÷ 1/6 I need the answer step by step the reciprocal kfc and da answer
[tex]\frac{12}{5}[/tex] or [tex]2 \frac{2}{5\\}[/tex]
Step-by-step explanation:You follow KCF (Keep Change Flip)Keep [tex]\frac{2}{5}[/tex] the same
change the division sign to multiplication [tex]\frac{2}{5} \\[/tex] × [tex]\frac{1}{6\\}[/tex]
Flip [tex]\frac{1}{6}[/tex] so that the denominator is on top and the numerator is on the bottom like this [tex]\frac{6}{1\\}[/tex]
After doing those steps your new equation will look like this- [tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex]
Multiplying[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex] Now all you have to do is multiply
1st- multiply 2x6
2nd- multiply 5x1
[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1\\\\}[/tex] = [tex]\frac{12}{5}[/tex]
So your answer is [tex]\frac{12}{5\\}[/tex] or [tex]2 \frac{2}{5}[/tex]
Hope my explanation helps you out!
What is the radius of a sphere with a volume of 3026 cm ^3, to the nearest tenth of a centimeter?
Answer:
[tex]r=9.0\:\mathrm{cm}[/tex]
Step-by-step explanation:
The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:
[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].
Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.
What is volume?Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).
The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.
For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
We can rearrange this formula to solve for r:
r = [tex](3V/4\pi)^{(1/3)[/tex]
Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:
r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm
Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.
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Question Number 2 of 40 - Algebra II
A polynomial function has zeros -3 and 4. Which is one of the factors of the polynomial?
pls help and SHOW WORKINGS
It due ASAP
Answer:
Any real number strictly larger than 9 and strictly less than 21.
Step-by-step explanation:
By triangle inequality, the sum of the lengths of any two sides are greater than the length of the third side.
We therefore could set up three inequalities.
x+6>15, x+15>6, 15+6>x
Solving these, we get x>9, x>-9, x<21 i.e. 9 < x < 21.
Please help it’s urgent !!
Answer:
2 is the correct answer you know it also
the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)
Answer: h = 14.5 ft
Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
i.e., the ratio of a side and the sin of its opposite angle is constant.
So, for this triangle, height is
[tex]\frac{sin46}{h} =\frac{sin44}{14}[/tex]
[tex]h=\frac{14sin46}{sin44}[/tex]
[tex]h=\frac{10.07}{0.69}[/tex]
h = 14.51
Height of the main sail rounded to the nearest tenth is 14.5 ft.
. _ .
................
Hey there!
I believe the answer to your question is 24.
If it's being reduced by 1/3, you are being left with 2/3, so we can take 2/3 of 9 and you get 6. Perimeter is adding up all the side lengths. Thus, we do 6 + 6 + 6 + 6, and that is 24.
Sorry for any confusion before, I didn't understand the problem before. Hope it helps! Have a great day, and sorry if it's late.
plz help, I need help
Answer:
Answer is A
Step-by-step explanation:
because 2 × $11.50 is for adult tickets
$8 × 4 is for childrens tickets
and the equation would represent the total cost
Evaluate the expression if p = 1, r= -7, and s = -2.
-3p-2r
6+4s
PLEASE HURRY!!! THANK YOU
Answer:
-5 1/2
The first one is right.
Step-by-step explanation:
k12 right ?
The solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
WE have been given an expression as
-3p-2r / 6+4s
We have to substitute the value p = 1, r= -7, and s = -2 to find the solution.
Plug the values;
-3p-2r / 6+4s
-3 (1) -2 (-7) / 6+4(-2)
-3 + 14 / 6 - 8
11 / -2
Hence, the solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2
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*. John pulled a black sock from his drawer. He has 5 black socks, 4 navy socks, and 6 brown socks left in the drawer. He picks another sock at random. What is the probability it matches the black one? A.1/6 C. 1/3 B. 1/5 D. 1/2
Answer:
C
Step-by-step explanation:
The number 54 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10
Answer:
6,9,2,4,10
Step-by-step explanation:
There are possible multiples that can be divisible by 54.
The radius of a circle is represented by the expression x+3. Express the circumferend terms of x
Answer:
The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]
Step-by-step explanation:
Given that
Radius = r =x+3
The circumference of a circle is the distance around boundary of the circle.
The circumference of circle is given by the formula.
[tex]C = 2\pi r[/tex]
Putting the value of r, we get
[tex]C = 2\pi (x+3)\\C = 2\pi x+6\pi[/tex]
Hence,
The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]
Asap , question in pic and only answer if you know your right ,thanks
Answer:
It is D
Step-by-step explanation:
Because I did the work and if you count where the middle is it is 1 to the right and 3 up.
Which could be the degree of the function represented by the graph?
A. 5
B. 1
C. 3
D. 4
Answer:
C
Step-by-step explanation:
Rewrite 18m - ( 2 + 3m ) without parentheses.
Answer:
15m−2
Step-by-step explanation:
Distribute the Negative Sign:
=18m + −1(2 + 3m)
=18m + (−1)(2) + −1(3m)
=18m + −2 + −3m
Combine Like Terms:
=18m + −2 + −3m
=(18m + −3m) + (−2)
=15m + −2
i really need help i’m going to fail so answer if you can ! <3
The commission of a sales representative can be modeled by C(x) = 4x -
10, where x is the number of items sold. If the sales representative sales 30
items, how much commission will they earn? *
options:
$20
$5
$120
$110
Answer:
110
Step-by-step explanation:
you place 30 in the place of X, and it becomes 4×30-10. in PEMDAS, multiplication goes first and 4×30=120. 120-10=110
awnser photo quick please #8
16/19 as a decimal rounded to the nearest tenth
Answer:
0.8
Step-by-step explanation:
that's the decimal.
Answer:
0.8
Step-by-step explanation:
Please help a bruddah out its 8 pm and I'm grinding on schoolwork.
4. What is of 2107what is 2 fifths of 210
Answer:
points I want ... use of this communication
please help me !!!!
Flying against the wind , an airplane travels 3660 kilometers in 6 hours. flying with the wind , the same plane travels 3800 kilometers in 4 hours. what is the rate of the plane in still air and what is the rate of the wind?
Answer:
...
against the wind, an airplane travels 3640 km in 7 hours.
with the wind, the same plane travels 6000 km in 6hrs.
...
let speed of plane in still air be x mph
speed of wind be y mph.
..
t=d/r
..
against wind speed = x-y mph
with wond speed = x=y mph
...
3640/(x-y)=7
3640 = 7x-7y
/7
520=x-y.....................1
...
6000/x+y = 6
6000 = 6x+6y
/6
1000=x+y.....................2
...
Add (1) & (2)
2x=1520
/2
x=760 mph speed of plane in still air
...
plug value of x in 2
1000=760+y
100-760=y
240 = y
240 mph speed of wind
a student buys (x) fashion magazines and (y) sports magazines. Each fashion magazine costs $2.00 and each sports magazine costs $1.60. If the student buys a total of 8 magazines for $14.00, which equation best represents the situtation
Answer:
Step-by-step explanation:
the student buys a total of 8 magazines for $14.00
x+y = 8
x = 8-y
2x+1.6y = 14
2(8-y)+1.6y = 14
16-2y+1.6y = 14
16-0.4y = 14
0.4y =16-14 = 2
y = 2/0.4 = 5
x = 8-y = 3
The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A student buys (x) fashion magazines and (y) sports magazines.
And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.
Here, The student buys a total of 8 magazines for $14.00.
Hence, We can formulate;
⇒ x + y = 8
And, 2x + 1.60y = 14.00
Thus, The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
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What number should go in the space?
Multiplying by 0.76 is the same as decreasing by ____%.
Answer:
76%
Step-by-step explanation:
Do turn decimals into percentages you just gotta multiply by 100.
0.76×100=76
Answer:
24
Step-by-step explanation: