Answer:
A function assigns only output to each input. A mapping diagram can be used to represent a relationship between input values and output values. ... A mapping diagram represents a function if each input value is paired with only one output value.
using the recursive definition for the following arithmetic sequence, find the second, third, and fourth terms of the sequence. then writes the explicit formula that represents the sequence.
Step-by-step explanation:
[tex]A(2)=A(2-1)+6=A(1)+6=12+6=18[/tex]
Which of the following is equal to the rational expression when x ≠ -1 or -7?
(X+1)(x-1)
——————
(X+7)(x+1)
A. x+1
——
x+7
B. x+7
———
x-1
C. x-1
——
x+7
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Answer:
C. (x -1)/(x +7)
Step-by-step explanation:
The factor (x +1) in the numerator cancels the same factor in the denominator, leaving the ratio (x -1)/(x +7). This matches choice C.
_____
Additional comment
Even though (x+1)/(x+1) = 1 and can be removed from the expression, the fact that it is undefined at x=-1 means the reduced ratio (x-1)/(x+7) is only a valid representation of the original ratio when x≠-1. The factor (x+1) may be gone, but the domain restriction associated with it remains.
Please help will give brainly points
Answer:
-11
Step-by-step explanation:
if you put the numbers of the variebles in, it would be
-6-9+9-5
Answer:
9
-6a = 54
9x = -45
54 + (-45) = 9
Solve for x: x^2+4b=0
Answer:
[tex] {x}^{2} + 4b = 0 \\ {x}^{2} = - 4b \\ x = \sqrt{ - 4b} \\ x = 2 \sqrt{b} i \\ thank \: you[/tex]
The table below shows a linear relationship between x and y.
х
-4-2
0
6
у
8
5
2
-7
Which graph below represents the relationship in the table?
Find the slope and y-intercept of the line.
- 6x + y = 8
-...
Find the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Simplify your answer. Type an integer or a fraction.)
OB. The slope of the line is undefined.
(Answer quickly)
[tex]\large \mathfrak{Solution : }[/tex]
let's write the given equation in its slope intercept form :
i.e y = 6x + 8
by comparing to the general equation : y = mx + c
we get, slope (m) = 6
PLEASE HELP- brainliest and points will be given
Answer: Choice B
[tex]\frac{1}{\sqrt{65}}<-4, 7>[/tex]
===============================================================
Explanation:
Consider a right triangle with legs a = 4 and b = 7. Through the pythagorean theorem, the hypotenuse is
c = sqrt(a^2+b^2) = sqrt(4^2+7^2) = sqrt(65)
This represents the length of the vector <-4,7>
Dividing each component by the length will normalize the vector. This is the same as multiplying by [tex]\frac{1}{\sqrt{65}}[/tex] which is what choice B shows. The phrasing "normalize the vector" means "make the vector to be of length 1". A common application of normalizing vectors will come up in computer graphics.
The original vector and the vector mentioned in choice B point in the same direction. The only thing that has changed is the length from sqrt(65) to 1.
Solve h + 6 / 5 = 2
Solve for h
Answer:
-1
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
h + 6 / 5 = 2 * 5
h + 6 = 10 -6
h = 4
Let A = {a, b, c, d}, B = {a, c, d, e}. Let f : A → R and g : B → R such that f = {(a, 1),(b, 2),(c, 2),(d, 4)} and g = {(a, 0),(c, 4),(d, 8),(e, 0)}. State the domain and find: f − g
Answer:
b, but don't have translate into a great day. I name and phrase, angle of measurementhhvgz just don't have money in a sentence, and the king not sure how it was a great app that is
Please help me and thank you!! Show the steps also please I got 198x
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Answer:
264x³-66x
Step-by-step explanation:
The order of operations requires this be evaluated as ...
11x(96x÷4x -6) . . . . given
11x(24x·x -6) . . . . . . division inside parentheses
11x(24x² -6) . . . . . . multiplication inside parentheses
264x³ -66x . . . . . multiply by outside factor (use the distributive property)
_____
Additional comment
The appearance of the expression in parentheses may induce you to evaluate it as (96x)÷(4x) = 24. The order of operations requires that you do the division before the multiplication, left to right, so this must be evaluated as ...
((96x)÷4)x = 24x²
You need to be very careful with division and with exponents to make sure to follow the Order of Operations exactly. If you have an appropriate calculator, it will do that automatically. For example, if you tell your calculator ...
(for x=2) 11×2×(96×2÷4×2-6)
it should give you the result 1980, not 396.
Answer:
= 198x
Step-by-step explanation:
11x × { 96x ÷ 4x -6}
11x × { 24x -6}
264x - 66x
= 198x
You got the correct answer
26 555 355 + 24 653 456
:3
Answer: The answer is 51,208,811
Can we be friends?
Answer:
51,208,811
Step-by-step explanation:
Solve the exponential equation: 4 1/2x=256
A) x = 4
B) x = 2
C) x= 8
OD) x= 1/2
Hi there!
We are given:
[tex]4^{\frac{1}{2}x} = 256[/tex]
We can rearrange this into a logarithm:
[tex]log_4256 = \frac{1}{2}x[/tex]
Evaluate the left side:
4 = 1/2x
Multiply both sides by 2:
x = 8
what is statistics ???
explain !!!
Answer:
what is statistics ???
explain !!!
Step-by-step explanation:
Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data. ... Probability is a mathematical language used to discuss uncertain events and probability plays a key role in statistics.Please mark me as brainliest
How many hours? Thank you for your time.
Answer:
3/4 hours I believe so??
Choose all expressions that are equal to 5.
31÷6.2
27.6÷5.2
18.6÷4
6÷2.1
20.1÷4.1
Answer:
without rounding, only the 1st one would be equal to 5
Step-by-step explanation:
31÷6.2=5
27.6÷5.2=5.307...
18.6÷4=4.65
6÷2.1=2.8
20.1÷4.1=4.9
BUT HEY, I HAVE PARANOIA AND THIS TIME I DIDNT CHECK LIKE A DOZEN TIMES SO MAYBE IM WRONG
oh and i forgot to say have a nice day or night or etc and good luck!
Answer:
31 / 6.2 = 5
Step-by-step explanation:
31/6.2 = 5
27.6/5.2 = 5.3
18.6/4 = 4.65
6/2.1 = 2.86
20.1/4.1 = 4.90
Solve for x. 2x^2-4x=0
A.
0, -4
B.
0, -2
C.
0, 2
D.
2, 4
An old principle of public landscaping says "build sidewalks last." In other words, let
the people find their chosen paths and then build the sidewalks on the paths. The
picture below shows a campus quadrangle that measures 40 meters by 30 meters.
The path between each building is an illustration of Pythagoras theorem.
The sidewalk between library and humanities is 21.21 metersThe sidewalk between chemistry and humanities is 29.15 metersThe sidewalk between chemistry and humanities is 36.06 metersSee attachment for a copy of the given image.
The sidewalk between library and humanities
This is represented with (a).
The value of (a) will be calculated using Pythagoras theorem.
So, we have:
[tex]a^2 = 15^2 + 15^2[/tex]
[tex]a^2 = 450[/tex]
Take square roots
[tex]a = 21.21[/tex]
Sidewalk between chemistry and library
This is represented with (d).
First calculate the value of (b) and (c)
[tex]c + 15 = 30[/tex]
So:
[tex]c = 15[/tex]
Also:
[tex]b + 15 = 40[/tex]
So:
[tex]b = 25[/tex]
The value of (d) will be calculated using Pythagoras theorem.
[tex]d^2 = b^2 + c^2[/tex]
[tex]d^2 = 25^2 + 15^2[/tex]
[tex]d^2 = 850[/tex]
Take square roots
[tex]d = 29.15[/tex]
The sidewalk between chemistry and humanities
This is represented with (e).
The value of (e) will be calculated using Pythagoras theorem.
[tex]e^2 = d^2 + a^2[/tex]
[tex]e^2 = 850 + 450[/tex]
[tex]e^2 = 1300[/tex]
Take square roots
[tex]e = 36.06[/tex]
Learn more about Pythagoras theorem at:
https://brainly.com/question/343682
Find the distance between the pair of points A(7,8) B(-8,4)
Answer:
Formula:
[tex]length = \sqrt{ {(x _{1} -x_{2} )}^{2} + {(y_{1} -y_{2}) }^{2} } [/tex]
substitute:
[tex]l = \sqrt{ { \{7 - ( - 8) \}}^{2} + {(8 - 4)}^{2} } \\ \\ l = \sqrt{225 + 16} \\ l = \sqrt{241} \\ { \boxed{ \boxed{length = 15.5 \: units}}}[/tex]
The distance from the earth to the moon is two hundred thirty eight thousand, nine hundred miles. Write the distance in standard form and expanded form.
Answer:
Standard: 238,900
Expanded: 200,000 + 30,000 + 8,000 + 900
Step-by-step explanation:
The distance in standard form is 238,900 and in expanded form is 200,000 + 30,000 + 8,000 + 900.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the distance from the earth to the moon is two hundred thirty-eight thousand, nine hundred miles.
The number in standard form will be written as below:-
Standard form = 238,900
The number in the expanded form will be written as below:-
Expanded form = 200,000 + 30,000 + 8,000 + 900.
Therefore, the distance in standard form is 238,900 and in expanded form is 200,000 + 30,000 + 8,000 + 900.
To know more about an expression follow
https://brainly.com/question/295961
#SPJ2
Solve this problem and show the steps please because I’m so confused
Answer:
= 77
Step-by-step explanation:
{3 × [tex]2^{2}[/tex] - 3} -2 × 11
Solve the brackets first
{ 3 × 4 - 3} -2 × 11
{12 - 3 } -2 × 11
9 -2 × 11
9 -22
= -13
Answer:
-13
Step-by-step explanation:
Solve in the bracket first
(3*4 -3) -2 * 11
(12 - 3) -22
9 - 22
-13 is the final answer
Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have?
Step-by-step explanation:
17 nickels and 5 quarters I just thought way to much for such a simple question
Find cos(x) if [tex]\frac{sin^2x-1}{cosx} =-1[/tex].
A -1
B 2
C 1
D 0
(sin²(x) - 1)/cos(x) = -1
-cos²(x)/cos(x) = -1
-cos²(x) = -cos(x)
cos²(x) - cos(x) = 0
cos(x) (cos(x) - 1) = 0
Then it follows that cos(x) = 0 or cos(x) = 1. But if cos(x) = 0, then the original expression on the left side of the equation would be undefined. Then C is the only valid solution.
Can somebody tell me the domain and show me or tell me the work plz.
Answer:
Set the denom to 0 and solve.
x^2 - 16 = 0 --> x = -4,4
This means the vertical asymptote is 4, -4.
Therefor, the domain is for all real numbers that are not 4, -4.
We ignore the top because if the numerator was 0, it's still a number. But if the denom was 0, then it would be impossible (you can't divide by 0). So for all numbers that can go into the denom that aren't 0, is your domain.
the height of tower A is 842 feet more than tower B. the two towers have a combined height of 1,920 feet. what are the heights of each tower
draw and label what in the picture
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Answer:
see attached
Step-by-step explanation:
The triangle will have the noted sides the same length. It is best if they are marked as having the same length. The names of the same-length segments tell you the a.pex is point Y.
please help me answer this question.. am giving brainliest
Step-by-step explanation:
We are going to use the following properties of logarithms to solve this problem:
[tex]\log{\dfrac{a}{b}} = \log{a} - \log{b}[/tex]
and
[tex]\log{ab} = \log{a} + \log{b}[/tex]
So we can rewrite the given equation as
[tex]\log{2x^3} - \log{x} = \log{\left(\dfrac{2x^3}{x}\right)} = \log{2x^2}[/tex]
Also,
[tex]\log{16} + \log{x} = \log{(16x)}[/tex]
So we can write
[tex]\log{2x^2} = \log{(16x)}[/tex]
or eliminating the log symbols, we get
[tex]2x^2 = 16x[/tex]
The solutions for the equation above are
[tex]x = 8\:\text{and}\: 0[/tex]
Sorry for asking more questions
[tex]\text{CJ}=3\text{x}+6\\\\\text{CT}=37\\\\\text{JT}=3\text{x}+7\\\\\text{CJ}+\text{JT}=\text{CT}\\\\3\text{x}+6+3\text{x}+7=37\\\\6\text{x}+13=37 \ \ /-13\\\\6\text{x}=24 \ \ /:6\\\\\text{x}=4\\\\\text{JT}=3\cdot4+7=12+7=\boxed{19}[/tex]
Can someone please help me? I just need these question for finish my test.
Answer:
A. y = |x - 5| - 4
Step-by-step explanation:
The shape of the graph is a V with slope 1 on the right side and slope -1 on the left side. The parent function is y = |x|. The vertex of the V in the parent function is at (0, 0). Here, there has been a translation of the vertex to (5, -4).
The x-coordinate shifted 5 units right, or a shift of +5, and the y-coordinate shifted 4 units down, or a shift of -4.
y - k = |x - h| shows a shift of h units in x and k units in y when compared to the parent function y = |x|.
y - (-4) = |x - 5|
y + 4 = |x - 5|
y = |x - 5| - 4
Answer: A. y = |x - 5| - 4
Help will give Brainly points
Evaluate u + xy, if u = 18, x = 10, and y = 8
Answer:
[tex]u + xy \\ 18 + 10 \times 8 \\ 10 + 80 \\ 90[/tex]
Answer:
Solution,
here,
u=18
x =10
y= 8
=u+xy
=18+(10×8)
=18+80
=98