Answers
Answer:
5. (x,y) = (2.3)
Step-by-step explanation:
1/2x + 2 = x+1
x = 2
y = 2+1
y = 3
(x,y) + (2,3)
{3 = 1/2 x 2 + 2
{3 = 2 + 1
{3 = 3
{3 = 3
Answer:
3. no solution
5. (x, y) = (2, 3)
Step-by-step explanation:
3.-5x +y = 1
-10x +2y = -2
Multiply the first equation by -2 and add the second equation:
-2(-5x +y) +(-10x +2y) = -2(1) +(-2)
10x -2y -10x +2y = -2 -2 . . . . eliminate parentheses
0 = -4 . . . . . . . . . no variable values will make this true: NO SOLUTION
(The lines graph as parallel lines.)
__
5.y = 1/2x +2
y = x +1
Subtract the first equation from the second:
(y) -(y) = (x +1) -(1/2x +2)
0 = 1/2x -1
0 = x -2
2 = x
y = x +1 = 2 +1 = 3 . . . . use the second equation to find y
The solution is (x, y) = (2, 3).
Related Questions
Find the area of following figures
Answers
Answer:
AB=8
CD=7
EF=2.4
FA=2
SOLN
ab+cd+ef+fa
8+7+2.4+2
19.4
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?
Answers
b 140
*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
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.
Answers
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
Write as a mathematical expression: The product of 5 and x, increased by 3
Answers
Answer:
[tex]5x + 3[/tex]
Step-by-step explanation:
(5 × x) - Product of 5 and x
=5x
increased by 3
5x +3
2) Given that XY || AC, what is YC if BX = 10, BA = 15, and BY = 8?
A) 4
XB) 6
0)
8
D) 12
Answers
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
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?
Answers
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:
https://brainly.com/question/6676855
Please help will give 50points
Answers
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
if p= (-2 4) then find Ry=1 (p)
Please Help
Answers
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
SOLVE & SHOW YOUR WORK !!!!
Answers
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
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?
Answers
Answer:
5
Step-by-step explanation:
The equation looks like 4x=20
Divide each side by 4 to get x=5
Thus x+5
What is 11 4/8 - 5 6/8
Answers
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
PLEASE HELP ME PLEASE ITS DUE TODAY
Answers
$3.13 is the answer like it please thanks
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 :)
Answers
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]
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?
Answers
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. (:
Answers
(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.
Answers
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.
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.
Answers
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:
https://brainly.com/question/13118993
#SPJ2
Find the value of × in each of the following
a)5+1=11
b) 2x-3=2
Answers
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
3p^2+2p-8 factor the common factor out of the expression?
Answers
Answer:
3p²+2p-8
3p²+6p-4p-8
3p(p+2)-4(p+2)
= (3p-4)(p+2)
~giving brainliest for answering this one question~
Answers
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
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
Answers
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.
help plsssssssssssss
Answers
Answer:
27+72x
Step-by-step explanation:
ous5ourskhrskysr
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?
Answers
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
Someone please help me I have to turn this in tomorrow
Answers
5n + 3n - n + 5 = 26
if we combine the like terms we are left with -
7n + 5 = 26
next you want to subtract 5 from both sides of the equation -
7n + 5 - 5 = 26 - 5
then you want to simply -
7n = 21
7n/7 = 21/7
cancel terms that are both the numerator and denominator & divide the numbers -
n = 3
An airplane flies
170 miles in 2 hours
42 minutes. What is
its average speed in
miles per hour?
Answers
Answer:
The average speed is 62.96mph. Hope this helps! :)
Step-by-step explanation:
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answers
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)
Graph 3x-4y=-12 using intercepts.
Will mark brainliest if right
Answers
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.
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
Answers
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
The graph of a quadratic function with vertex (-3,3) is shown in the figure below.
Find the domain and the range.
Answers
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.
can someone problem solve a side of a square?
Answers
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