help plsssssssssssss
Answer:
27+72x
Step-by-step explanation:
ous5ourskhrskysr
Josh's desk is 36 inches tall. When
he meaured the desk using a yard
stick, it was 1 yard tall. Why did the
number decrease when he
measured with the yard stick?
Answer the questions about the following function.
x + 6
f(x) =
x-12
(a) Is the point (5,-2) on the graph of f?
(b) If x= 3, what is f(x)? What point is on the graph of f?
(c) If f(x) = 2, what is x? What point(s) is (are) on the graph of f?
(d) What is the domain of f?
(e) List the x-intercepts, if any, of the graph of f.
(f) List the y-intercept, if there is one, of the graph of f.
(g) What are the zeros of f?
The given rational function has a vertical asymptote at x = 12, and the
graph has x and y-intercept at the negative x and y-axis.
Response:
(a) The point (5, -2) is not on the graph
(b) f(x) = -1
The point on the graph of f is (-1, 3)(c) If f(x) = 2, x = 30
The point on the graph of f is (30, 2)(d) Domain = (-∞, 12) ∪ (12, ∞)
(e) x-intercept is at x = -6, which is the point (-6, 0)
(f) The y-intercept is at y = -0.5, which is the point (0, -0.5)
(g) A zeros of f, is x = -6
Which method is used to evaluate the rational function?The possible given function is presented as follows;
[tex]f(x) =\mathbf{\dfrac{x + 6}{x - 12}}[/tex]
(a) When x = -2, we have;
[tex]f(-2) = \dfrac{(-2) + 6}{(-2) - 12} = \dfrac{4}{-14} = \mathbf{-\dfrac{2}{7}}[/tex]
Therefore;
The point ([tex]-\frac{2}{7}[/tex], -2) is on the graph, which gives;
The point (5, -2) is not on the graph(b) If x = 3, we have;
[tex]f(3) =\mathbf{ \dfrac{3 + 6}{3 - 12}} = \dfrac{9}{-9} =-1[/tex]
f(3) = -1The point on the graph of f is (-1, 3)(c) If f(x) = 2, we have;
[tex]f(x) =2 = \mathbf{ \dfrac{x + 6}{x - 12}}[/tex]
2·(x - 12) = x + 6
2·x - x = 6 + 2 × 12 = 30
x = 30
If f(x) = 2, x = 30The point on the graph of f is (30, 2)(d) The domain which is the list of possible x-values, which is expressed as follows;
Domain; -∞ < x < 12, and 12 < x < ∞
Which gives;
Domain = (-∞, 12) ∪ (12, ∞)(e) The x-intercepts are;
[tex]0 = \mathbf{ \dfrac{x + 6}{x - 12}}[/tex]
x-intercept is at x = -6, which is (-6, 0)(f) The y-intercept
[tex]At \ the \ y-intercept, \ f(x) = \dfrac{0 + 6}{0 - 12} = -\dfrac{1}{2} = \mathbf{ -0.5}[/tex]
The y-intercept is at y = -0.5, which is (0, -0.5)(g) The zeros of the graph, f, are the points at which the graph crosses the x-axis which at the point x = -6
A zeros of the graph is x = -6Learn more about the graph of functions here:
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The graph below shows y as a function of x.
What is the relationship between x and $y$ in the graph?
A
As x increases, y increases.
B
As x increases, y decreases.
C
As x increases, y increases, then y decreases, then y increases again.
D
As x increases, y decreases, then y increases, then y decreases again.
Answer:
As x increases, y increases, then y decreases, then y increases again.
Step-by-step explanation:
The relationship between x and y in the graph is as x increases, y increases, then y decreases, then y increases again.
Option C is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The graph has the following coordinates.
(0, 0), (3, 3), (4, 0), (5, -4), and (9, 0)
Now,
We see that,
From (0, 0) to (3, 3),
y increases as x increases.
And,
From (3, 3) to (4, 0).
y decreases as x increases.
And,
From (4, 0) to (5, -4).
y decreases as x increases.
And,
From (5, -4) to (9, 0).
y increases as x increases.
Thus,
The relationship between x and y in the graph is as x increases, y increases, then y decreases, then y increases again.
Learn more about coordinates here:
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#SPJ2
Find the area of following figures
Answer:
AB=8
CD=7
EF=2.4
FA=2
SOLN
ab+cd+ef+fa
8+7+2.4+2
19.4
Please help will give 50points
Answer:
a=10
Step-by-step explanation:
Using Pythagoras theorem
[tex] {(a + 2)}^{2} + {( a- 5)}^{2} = {(a + 3)}^{2} [/tex]
[tex] {a}^{2} + 4a + 4 + {a}^{2} - 10a + 25 = {a}^{2} + 6a + 9[/tex]
simplify:
[tex] {a}^{2} - 12a + 20 = 0[/tex]
(a-2)(a-10)=0
hence a= 2 or a=10 however we must reject 2 as the lengths of the triangle cannot be negative eg. the side for a-5 will be equivalent to -3 cm which is not possible for lengths to become negative
Write as a mathematical expression: The product of 5 and x, increased by 3
Answer:
[tex]5x + 3[/tex]
Step-by-step explanation:
(5 × x) - Product of 5 and x
=5x
increased by 3
5x +3
What is 11 4/8 - 5 6/8
Answer:
= 114/8-56/8
= 14.25-56/8
= 14.25-7
= 7.25
Step-by-step explanation:
This is Bedmas so remember brackets, exponents, addition, multiplication and subtraction.
I hope this helps!!
Answer:
46/8 is the answer
hope it help
I need help with some questions ASAP in the law category. It's actually personal finance but it doesn't give you that option. answer whatever and you still get the points. (:
Graph 3x-4y=-12 using intercepts.
Will mark brainliest if right
Answer:
See the attached file
There is also this app "desmos" it helps in this just put the equation in there
Answer:
Read below
Step-by-step explanation:
Slope-intercept form: y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)1. Rewrite 3x - 4y = -12 into slope-intercept form:
3x - 4y = -12 [subtract 3x from both sides]
3x - 3x - 4y = -12 - 3x
-4y = -3x - 12 [divide both sides by -4]
-4y ÷ -4 = -3x - 12 ÷ -4
[tex]\implies y =\dfrac{3}{4}x + 3[/tex]
Note: with the slope-intercept form, we can quickly see that the y-intercept is (0, 3)
2. Randomly choose x-values that can help you graph the equation:
When x = -8:
[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-8) + 3\\\\y =-\dfrac{24}{4} + 3\\\\y =-6 + 3\\\\\implies y=-3[/tex]
coordinate: (-8, -3)
When x = -4:
[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-4) + 3\\\\y =-\dfrac{12}{4} + 3\\\\y =-3 + 3\\\\\implies y=0[/tex]
coordinate: (-4, 0)
When x = 8:
[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(8) + 3\\\\y =\dfrac{24}{4} + 3\\\\y =6 + 3\\\\\implies y=9[/tex]
coordinate: (8, 9)
Graph these coordinates and draw a linear (straight) line through them.
~giving brainliest for answering this one question~
Answer: 3 minutes 50.51 seconds
Step-by-step explanation:
10/100 of a second = 0.1 second
So the American's time = 3 minutes 50.61 second - 0.1 second
= 3 minutes 50.51 seconds
I was not in class when we did this and i have no idea what the answer is so if someone could help that would be wonderful
Answer:
12 < x < 13
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
a is 6, b is 11, c is x.
We have to first replace the items in the Theorem, do the exponents, then add.
1) 6^2 + 11^2 = x^2
2) 36 + 121 = x^2
3) 157 = x^2
To finally solve it we must square root everything
4) sqrt(157) = sqrt(x^2)
5) x = 12.52
So x has to be between 12 and 13
Translate the sentence into an equation.
Six less than the product of 4 and a number equals 2 .
Use the variable c for the unknown number.
Answer:
(4xc)-6=2 then c=2
Step-by-step explanation:
because we knew that we had to do 6+2=8 so then 8 divided by 4 = 2 so the answer would be 2!
Answer:
(4c) - 6 = 2
4c - 6 = 2
c = 2
Both equations will work.
Step-by-step explanation:
"The product of 4 and a number" is the same as 4 times that number.
Since the missing number is to be said as c, the correct term for this is 4c
6 less than (4c) is the same as (4c) - 6
We have the left-hand-side of the equation as (4c) - 6
The right-hand side is 2
(4c) - 6 = 2or4c - 6 = 2Now, we have to solve for c.
-Chetan K
3p^2+2p-8 factor the common factor out of the expression?
Answer:
3p²+2p-8
3p²+6p-4p-8
3p(p+2)-4(p+2)
= (3p-4)(p+2)
if p= (-2 4) then find Ry=1 (p)
Please Help
The reflection mapping of the equation p(-2, 4) is [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]
To solve this question, we must understand what is reflection mapping is all about.
What is reflection mapping?In mathematical concepts, a reflection is indeed a mapping via a Euclidean plane to itself. The isometry of this usually has a hyperplane with designated fixed points that are commonly referred to as axis.
From the given information, we have:
The given points P = (-2, 4)
Required to find:
[tex]\mathbf{R_{y =1}(P)}[/tex]
Hence, the image of P under the axis(point of reflection line) is y = 1
The mapping of this reflection in line is y = kThus,
[tex]\mathbf{(x,y) = (x,2k-y)}[/tex]
[tex]\mathbf{(x,y) = (-2,2(1)-4)}[/tex]
[tex]\mathbf{(-2,4) = (-2,-2)}[/tex]
Therefore, we can conclude that the [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]
Learn more about reflection mapping here:
https://brainly.com/question/25998325
2) Given that XY || AC, what is YC if BX = 10, BA = 15, and BY = 8?
A) 4
XB) 6
0)
8
D) 12
The parallel lines XY and AC is an illustration of similar triangles
The value of YC is 12 units
How to determine the length of YCFrom the question, we have:
Parallel lines XY || AC
This means that:
BA : BX = YC : BY
Substitute known values in the above ratio
15 : 10 = YC : 8
Express the ratio as fractions
[tex]\frac{15}{10} = \frac{YC}{8}[/tex]
This gives
[tex]1.5 = \frac{YC}{8}[/tex]
Multiply both sides by 8
[tex]YC = 12[/tex]
Hence, the value of YC is 12 units
Read more about similar triangles at:
https://brainly.com/question/14285697
PLEASE HELP ME PLEASE ITS DUE TODAY
$3.13 is the answer like it please thanks
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
The Answer is C 165$
Step-by-step explanation:
Final price = original price x ((100 - % off) / 100)
final price = 220 x ((100 - 0.25) / 100)
The graph of a quadratic function with vertex (-3,3) is shown in the figure below.
Find the domain and the range.
Answer:
Domain:(∞,-∞)
Step-by-step explanation:
Well, I think this is correct because (-3,3) defines the limit. The parabola shows that there are infinite ranges of values within it. It is pretty much straightforward. All values must fit in from (-3,∞) to (-∞,3)
let me know if im wrong im just refreshing my thinking process at this moment.
(01.06 LC)
Which of the following statements best describes adjacent angles?
O Adjacent angles are vertical.
O Adjacent angles are supplementary.
O Adjacent angles share interior points.
O Adjacent angles share a side.
Answer:
(d) Adjacent angles share a side
Step-by-step explanation:
Adjacent angles share a side and a vertex. They have no interior points in common.
__
In the attachment, 'a' and 'b' are adjacent angles.
Four times the number of mangoes Mark picked equals the number Jordan picked for a week. If Jordan picked 20 mangoes each day, how many mangoes did Mark pick?
Answer:
5
Step-by-step explanation:
The equation looks like 4x=20
Divide each side by 4 to get x=5
Thus x+5
Find the value of × in each of the following
a)5+1=11
b) 2x-3=2
Step-by-step explanation:
a,it doesn't have variable
b,2x-3=2
2x=2+3
2x=5
2x/2=5/2
x=5/2
What is the ratio of cats to pumpkins? What is the ratio of pumpkins to cats? Write
your answer in three different ways in the simplest form.
Please Help me I don't understand :)
Answer:
There is 1 cat to 3 pumpkins
1 : 3
1 to 3
[tex]\( \displaystyle \frac{1}{3} \)[/tex]
Step-by-step explanation:
A ratio says how much of one thing there is compared to another thing.
There are 2 cats and 6 pumpkins, so we say:
"There are 2 cats to 6 pumpkins"
Ratios can be shown in different ways:
Use the ":" to separate the values: 2 : 6
Use the word "to": 2 to 6
[tex]\textsf{write it like a fraction}:\ \( \displaystyle \frac{2}{6} \)[/tex]
This ratio can be reduced to its simplest form by divide both numbers by 2. So the ratio in its simplest form is:
There is 1 cat to 3 pumpkins
1 : 3
1 to 3
[tex]\( \displaystyle \frac{1}{3} \)[/tex]
SOLVE & SHOW YOUR WORK !!!!
Answer:
Step-by-step explanation:
You have to assume that the triangles are congruent or at least similar. If they are not, the question isn't possible.
If that is so, then <M and <X are equal.
You can find < M by stating that 20 degrees.
That's because <L + <M + <N = 180 degrees. All triangles have 180 degrees.
<L = 70 Given
<N= 90 So marked.
70 + <M + 90 = 180
<M = 20 degrees.
<X = <M
<X = 20
An airplane flies
170 miles in 2 hours
42 minutes. What is
its average speed in
miles per hour?
Answer:
The average speed is 62.96mph. Hope this helps! :)
Step-by-step explanation:
Herman is drawing a rectangle with a base that is
four times the length of its height. The perimeter of
his rectangle is 60 feet. How long are the base and
height of Herman's Rectangle?
heightAnswer:
12
Step-by-step explanation:
(x representing the smallest size)
x + 4x = 60
5x = 60
x = 12
the height is 12
to confirm:
12 x 4 = 48
48 + 12 = 60
What is the area of this circle?
When calculating, use 3.14 as the estimation of n.
Round to one decimal place.
T
2 units
units2
Answer:
What does the circle look like?
Step-by-step explanation:
To find the area use 3.14 times the radius squared.
Give me the picture of the circle so I can solve it.
Someone please help me I have to turn this in tomorrow
A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet, where x is the number of charms.
a. Graph the equation.
b. How much does a bracelet with three charms cost?
*This answer may be wrong (part a), so make sure to double check with someone trustworthy. Feel free to tell me if I had made any mistakes, and I will fix them. Congrats if you read through my whole answer! Good luck!
Answer (a):
Coordinate: (0, 65)
Slope: -25
Step-by-step explanation:
Hint: In the graph, make one space represent 5 units to make the graph simpler (be careful on step #4 when plotting)
1.) Find the y - intercept to find a coordinate the line goes through.
2.) Rewrite the equation -25x + y = 65 in slope - intercept form.
y = 25x + 65
65 is the y - intercept at (0, 65)
3.) The slope is -25, so the slope is negative. To have a slope of 25, we can use the rise/run formula for the slope.
4.) Go 25 units to the left (to get to -25) and one unit down. Plot this point in the graph.
5.) After you have plotted these two points down (y - intercept and slope), draw a line through it.
Answer (b):
$140
Step-by-step explanation:
1.) We plug in 3 in x because it has three charms.
2.) New equation: -25(3) + y = 65
-75 + y = 65
3.) We add 75 to both sides to isolate y.
-75 + y = 65
+75 + y = 65 + 75
y = 140
can someone problem solve a side of a square?
Answer:
yeah
Step-by-step explanation:
give me the pic and ill solve
the area of the square is 144 square meters. the length is 12 m