Which graph represents this system of equations?
y + 2x = 3
y + 2 = 3x
Answers
Answer:
The options are not given, so i will answer in a general way.
First, we have the system:
y + 2*x = 3
y + 2 = 3*x
To graph this system, the easier way is writing both equations as linear equations, like:
y = -2*x + 3
y = 3*x - 2
Now we just need to graph these two lines in the same coordinate axis.
To do it, we can replace the value of x by two different values in each equation, and see the correspondent value of y for these values. Then graph the two points, and draw a line that connects them.
For example, for the first equation if we have x = 0, we have:
y = -2*0 + 3
y = 3
Then we have the point (0, 3)
and if x = 1
y = -2*1 + 3 = 1
y = 1
we have the point (1, 1)
Now we only need to graph these points, and draw a line that passes through them.
Once we did this for both lines, the graph we will get will look something like the one above.
And the point where the lines intersect is the solution of the system of equations.
Which is the point (1, 1)
Related Questions
Write an algebraic expression. The product of two numbers is 94, and one of the numbers is n. What is the other number?
Answers
Answer:
Let say the another number y
N×Y=94
Y=94/N
So the algebric expression is 94/N
In an A-Frame house, the roof extends to the ground level. If each side of the roof meets the ground at a 62° angle, what will be the measure of the angle where the two sides of the roof meet?
Answers
Answer:
36 degrees
Step-by-step explanation:
Angles in a triangle add up to 180.
180-62-62=36
36 degrees
Step-by-step explanation:
Suppose that E and F are points on the number line.
If EF = 12 and E lies at -9, where could F be located?
Answers
Answer:
either at -21 or 3
Step-by-step explanation:
we know that the length is a total of 12 so it either goes 12 spaces to the left or to the right of -9
-9 - 12 is -21 and -9 + 12 is 3
What is the correct expanded form and value of
5
?
Answers
Answer:
[tex]\frac{4}{5} .\frac{4}{5} .\frac{4}{5} =\frac{64}{125}[/tex]
Step-by-step explanation:
An "exponential form" is being used for "repeated multiplication." The value of [tex](\frac{4}{5} )^3[/tex] is equal to [tex]\frac{4}{5}[/tex] being repeatedly multiplied by itself.
[tex]\frac{4}{5}[/tex] x [tex]\frac{16}{25}[/tex] x [tex]\frac{4}{5}[/tex] = [tex]\frac{64}{125}[/tex]Choice A is incorrect because it is an addition of fraction and also an incorrect way of adding the numerators. Choice C is also incorrect because it also used the addition operation. Choice D is incorrect because it repeatedly multiplied the reciprocal of [tex]\frac{4}{5}[/tex], which is [tex]\frac{5}{4}[/tex], instead of the fraction itself.
A fitness machine weigh 16.8 kg. How many grams does the fitness machine weigh?
Answers
Answer:
16800
Step-by-step explanation:
since the equaltiuon is 16.8*1000
1 kg = 1000 grams.
16.8 kg x 1000 = 16,800 grams
* Use order of operations to solve the following.
* Use order of operations to solve the following.
3 + 5 2 × 2 −7
Answers
Answer:
5
3+5 2×2 -7
8+4-7
12-7
5
^^^^
True or false, A triangle with side lengths of 9 cm, 19 cm, and 17 cm is a right triangle.
Answers
Answer:
False
Step-by-step explanation:
A right triangle has all side lengths the same
Answer: give me brainliest now
Step-by-step explanation:
What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?
Answers
Answer:
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Step-by-step explanation:
According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.
[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].
If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:
[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]
[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]
[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]
[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]
[tex]c \approx 3.195[/tex]
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Answer:
C. 1/2(e^2-1)
Step-by-step explanation:
Edge AP Cal 2022
Solve the system of equations, y = x – 3 and y = –2x + 6, using the substitution method.
(no answer choices)
Answers
Answer:
x=9
Step-by-step explanation:
-2x+6=x-3
-1x+6=-3
-1x=-9
divide both sides by -1
x=9
hope this helps
Answer:
(3, 0)Step-by-step explanation:
Given system:
y = x – 3 and y = –2x + 6Substitute y and solve for x:
x - 3 = -2x + 6x + 2x = 6 + 33x = 9x = 3Find y:
y = x - 3 = 3 - 3 = 0Solution is:
(3, 0)help! algebra question
Answers
giving brainliest seems like an easy question.
Answers
Answer:
Yes, she is correct
Step-by-step explanation:
All you really have to do is multiply 1/5 and 3/4. We can separate her backyard in 5 equal parts. In one of those parts, we have her garden, and we break it down into 4 pieces, and make three of those tomato gardens. Now if we break all 5 parts of her backyard into 4 pieces, we can double check our answer, and see that there are 20 pieces, but only 3 have tomatoes. Of course, that's only to double check, but you could also use this method as a model.
what is the area of this quadrilateral?
Answers
Answer
theres nothing there
Step-by-step explanation:
You prob forgot to provide one
Suppose that an individual has a body fat percentage of 18.9% and weighs 177 pounds. How many pounds of his weight is made up of fat? Round your answer
to the nearest tenth.
Answers
please answer for help
Answers
Answer:
TS=22
Step-by-step explanation: Since we know the triangles are proportional, we need to set up an proportion to find TS. First, let find which sides are correspond with each, TS and MN does and US and NQ does. So we set up a proportion that includes.
TS/US=MN/NQ: Let plug in the numbers
3x+1/26=5x-2/39: Then cross multiply
39(3x+1)=26(5x-2): Then simplify
117x+39=130x-52: Subtract 117x from both sides
39=13x-52: Add 52 to both sides
91=13x: Divide 13 by both sides
7=x: Then plug it in to TS
3(7)+1=22
the diagonal of a rectangular tv is 52 inches long. the screen is 45 inches wide. how high is the screen? round decimal to the nearest tenth.
A. 97
B. 68.8
C. 26.1
D. 7
Answers
2,025 + h^2 = 2,704
h^2 = 679
h = 26.1
At a carnival, the probability that you chose a winning rubber duck from 25 ducks is 0.20.
How many are not winning ducks?
Answers
The game is formed such that a duck is either winning duck or a non winning duck .
there is no other result for any duck present in the game .
Also choosing a duck is a fair game it is independent of any prior situation .
here we would be using a basic probability formula , that is
Probability of a result = number of items in favour of that result divide by total number of items present in the game .
Willard Hudson took out a simple interest loan of $6,000.00 at 10 percent interest for 24 months. His monthly payment is $276.60 After 4 payments the balance is $5,082.21. He pays off the loan when the next payment is due. What is the interest? What is the final payment? How much is saved by paying the loan off early?
Answers
9514 1404 393
Answer:
a) $42.35
b) $5124.56
c) $407.44
Step-by-step explanation:
a) The interest due is that for one month on the remaining balance:
I = Prt
I = $5082.21·0.10·1/12 = $42.35
__
b) The final payment is ...
$5082.21 +42.35 = $5124.56
__
c) Had Hudson continued paying, he would have paid ...
20·$276.60 = $5532.00
So, he saved ...
$5232.00 -5124.56 = $407.44
The formula for the volume of this rectangular prism is:
V = x 3 + 5x 2 - 4x - 20
The length is x+5; the width is x+2; the height is unknown. Find an expression for the height.
Show all steps of your work for full credit.
Answers
Answer:
Step-by-step explanation: Explanation:
If
L
,
H
and
W
represent the length, height and width of the prism, then the volume of the rectangular prism is :
V
=
L
.
H
.
W
............. (1)
Given :
V
=
x
3
+
11
x
2
+
20
x
−
32
;
............... (2)
W
=
(
x
−
1
)
;
H
=
(
x
+
8
)
.
Let
L
=
(
x
+
l
0
)
be the expression for the length, then the RHS of equation (1) becomes
L
.
H
.
W
=
(
x
−
l
0
)
(
x
+
8
)
(
x
−
1
)
,
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
x
3
+
(
7
+
l
0
)
x
2
+
(
7
l
0
−
8
)
x
−
8
l
0
..... (3)
Comparing this to the LHS of equation (1), we get the following set of equations to solve for
l
0
,
7
+
l
0
=
11
;
7
l
0
−
8
=
20
;
8
l
0
=
32
;
l
0
=
4
Therefore
L
=
(
x
+
4
)
What is the slope intercept (-4,5), y = -4X – 1
Answers
Answer:
y = -4x - 1
Step-by-step explanation:
A superball rebounds half the height it drops. A student drops the superball from the top of a building, 176 feet above the ground. How far
above the ground is the ball when it has traveled a distance of 500 feet?
Answers
Answer:
62.48 ft.
Step-by-step explanation:
Initial height: 50 ft.
First rebound: 10 ft.
Second rebound: 2 ft.
Third rebound: 0.4 ft.
Fourth rebound: 0.08 ft.
If we approximate the fourth rebound to zero, we'll have:
50 + 10 + 2 + 0.4 + 0.08 = 62.48 ft.
75% of what number is 120?
Question 1 options:
1.6
160
10,800
Answers
Answer:
160
Step-by-step explanation:
First, lets assign a varible x. Let x be the number where 75% of x is 120. Next, we can convert the words of the problem into an equation. Now we have, 75% * x = 120 = 0.75x = 120. By multiplying both sides by 100, we get, 75x = 12000. So, x = 160.
Recall the Spice Girls Emporium example. A list of useful information is given below. n = 36 The sample mean income is $41,100 The population standard deviation is estimated to be $4,500 What if we wanted to change our level of confidence to be 99%? What would our new margin of error be? Your answer should be given as an integer.
Answers
Answer: Margin of error = 1932
Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.
Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]
z is z-score related to the percentage of confidence, in this z = 2.576
σ is population standard deviation
n is how many individuals are there in the sample or population
With a new level of confidence of 99%:
ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]
ME = 2.576(750)
ME = 1932
The new margin of error would be 1932.
The sum of two numbers is 240. If one number is twice the other number, find the two numbers.
Answers
Answer:
The sum of two numbers is 240. The larger number is 6 less than twice the smaller. Find the numbers.
----------
Let the smaller be "x" ; Larger is "2x-6"
EQUATION:
x + 2x-6 = 240
3x= 246
x = 82 (smaller)
2x-6 = 158 (larger)
Step-by-step explanation:
Answer:
160 and 80
Step-by-step explanation:
which answer is equivalent to √ 25/√ 49
Answers
Exact Form:
5/7
Decimal Form:
0.7142
(5pts) Recall that a standard deck of cards has 52 cards. The cards can be classified according to suits or denominations. There are 4 suits, hearts, diamonds, spades and clubs and there are 13 cards, each of a different denomination, in each suit. The 13 denominations are, Aces, Kings, Queens, ...,Twos, with 4 cards in each denomination (one of each suit). A poker hand consists of a sample of 5 cards drawn from the deck (without replacement). How many poker hands consist of 2 Aces, 2 Kings and a card of a different denomination?
Answers
Answer:
1584
Step-by-step explanation:
Distribution of cards in a deck:
Total number of cards = 52
Total number of cards drawn = 5
Sampling without replacement :
Number of Aces = 4
Number of kings = 4
Card different from Aces and kings = total cards - (4 + 4) ;
52 - 8 = 44 cards
(Drawing 2 aces from 4) * (2 kings from 4) * 1 other card of different denomination)
Using combination :
4C2 * 4C2 * 44C1
Using calculator :
6 * 6 * 44
= 1584
what’s the answer for this question?
Answers
Because I know
HELP PLEASE WILL MARK BRAINLIEST WHAT IS -5x^2+7x+1 from 8x^2+x-10
Answers
Answer:
13x^2- 6x - 9
Step-by-step explanation:
Please use the word "subtraction" or "less ... " or similar.
8x^2+x-10 less -5x^2+7x+1 is
8X^2 + x - 10
-(-5x^2+7x+ 1)
-----------------------
13x^2- 6x - 9
PLEASE HELP ILL GIVE BRAINLIEST AND FOLLOW using y=mx+b form
Answers
Answer:
y=1+5
Step-by-step explanation:
b is the y intercept and 1 is the slope gradient
A water pipe is 4 7/12 feet beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?
Answers
Answer:
4.5833feet
Step-by-step explanation:
Given the elevation of a water pipe as 4 7/12 feet
Expressing as decimal
4 7/12
= 4 + 7/12
= 4 + 0.5833
= 4.5833
Hence the elevation of the pipe expressed as a decimal is 4.5833feet
PLS HELP ILL GIVE YOU BRAINLIEST
What is the area of the circle in terms of pi?
Answers
Answer:
C=9
Step-by-step explanation:
A = πr^2
A = π 9
9
