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Both equations in a system of linear equations have y-intercepts at (0,2). is it possible for this system to have only one solution?
Both equations in a system of linear equations have y-intercepts at (0,2) but it is not possible for this system to have only one solution because it depends on another point as well.
Given :
Both equations in a system of linear equations have y-intercepts at (0,2).
The following steps can be used in order to determine the system have only one solution or not:
Step 1 - According to the given data, both equations in a system of linear equations have y-intercepts at (0,2).
Step 2 - The equation of a line is given by:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 3 - From the above steps, it can be concluded that it does not say that the system to have only one solution because it depends on another point as well.
For more information, refer to the link given below:
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Solve for x.
2x−45=x+4
Is this function even, odd, or neither?
Answer:
The given function is neither even nor odd.
Step-by-step explanation:
A function is an even function if
[tex]f(-x)=f(x)[/tex]
A function is an odd function if
[tex]f(-x)=-f(x)[/tex]
From the given graph it is clear that graph is passing though the points (-3,2), (-1,2), (0,1/2), (1/2,0), (1,-1), (2,-1) and (3,1).
Here,
[tex]f(3)=1[/tex]
[tex]f(-3)=2[/tex]
[tex]f(-3)\neq f(3)[/tex] and [tex]f(-3)\neq -f(3)[/tex]
Since [tex]f(-x)\neq f(x)[/tex] and [tex]f(-x)\neq -f(x)[/tex], therefore the given function is neither even nor odd.
When rewriting y = 2x + 1 in function notation, what do you replace with f(x)?
Find the roc of the volume of a cube with respect to the length of its side s when s = 25.
20 P[OINTS!!!!!! ppppppllllllllllleeeeeeeeeeeeeeeaaaaaaaassssssseee help asap!!!!!!!
A quadrilateral is shown on the graph:
What effect will a reflection about the x-axis have on the quadrilateral? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.
Answer:
The angles and side length would remain the same, the only thing that would change is the cornents, therefore the original pre image and the image would be congruent.
Step-by-step explanation:
Should your calculator be in radians or degrees for physics
Bob ate 10 carrots and 7 hershey's kisses and the total calories were 263. fred ate 4 carrots and 8 hershey's kisses and the total calories were 230. how many calories are in a carrot and a hershey's kiss? (the answer is not a scientific truth, only made up numbers!!!)
Which scientist arrived at a fairly accurate calculation of the value of pi?
Identify the segment bisector of JK
Answer:
A segment whose length is 9 units.
Step-by-step explanation:
A segment whose length is 9 units.
All we have is a bisection that divides equally segment JK in two parts. And M is the Midpoint what reassures us that JM=MK, so plugging in:
3x+15=8x+25
3x-8x=25-15
-5x=10
5x=-10
x=-2
JM=3(-2)+15 =9
MK=8(-2)+25=9
Answer:
Step-by-step explanation:
What affect does "h" have on the parent function y = 1/x ?
h < 0 moves the graph to the left, h > 0 moves the graph to the right.
Vertical stretch by a factor of |h|
h > 0 moves the graph up, h < 0 moves the graph down.
h > 0 reflects the graph across the y-axis.
Solve for x. 9≤17−4x Enter your answer, as an inequality, in the box.
The first thing you need to do is get rid of the 17 to leave -4x isolated..
so subtract -17 from 9 = -8 ≤-4x divide -4 from both sides = x≤2
Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that represents this situation.
A) d + 22 ≤ 28; d ≤ 72
B) d – 22 > 28; d > 50
C) d + 22 ≥ 28; d ≥ 72
D) d – 22 ≥ 28;d ≥ 50
Answer:
D) d – 22 ≥ 28;d ≥ 50
Step-by-step explanation:
Let d represents the initial money ( in dollars ) in the account,
So, after spending $ 22 the remaining amount = initial amount - $ 22 = (d-22) dollars,
According to the question,
The remaining amount ≥ $ 28
⇒ d - 22 ≥ 28
Adding 22 on both sides, ( additive property of inequality ),
⇒ d ≥ 50
Hence, the required inequality and its solution would be,
d - 22 ≥ 28; d ≥ 50
Option 'D' is correct.
How many three quarter pound burgers can be made with twelve pounds of hamburger?
Answer:
[tex]16\ burgers[/tex]
Step-by-step explanation:
Let
n ----> the number of burgers
x ----> the total pounds of hamburger
we know that
To find out the number of burgers, divide the total pounds of hamburger by three quarter pound (3/4 lb)
we have
[tex]x=12\ lb[/tex]
so
[tex]n=\frac{12}{(3/4)}=\frac{48}{3}=16\ burgers[/tex]
This results in 16 burgers. To find out how many three quarter pound burgers can be made with twelve pounds of hamburger, you divide the total pounds of hamburger by 0.75.
First, you need to perform a division calculation.
Note that a three quarter pound burger is equivalent to 0.75 pounds.
Determine how many three quarter pound burgers equal twelve pounds by dividing the total pounds of hamburger by the weight of one burger:12 pounds ÷ 0.75 pounds per burger = 16 burgers.Therefore, you can make 16 three quarter pound burgers with twelve pounds of hamburger.
some integers are whole numbers? true or false
What is 187.023 in word form
In how many distinct ways can the letters in engineering be arranged?
The sum of the circumference of a circle and the perimeter of a square is 16. find the dimensions of the circle and square that produce a minimum total area. (let x be the length of a side of the square and r be the radius of the circle.)
Joanne had $115 to spend at the mall. She spent 23% of that money on a shirt. How much did Joanne spend on the shirt?
Which of the following angles is in the solution set of sec^2θ - 3secθ - 2 = 0 for 0° ≤ θ < 360°.
A. 0°
B. 56°
C. 60°
D. 74°
A boat takes 3.6 h to travel downstream from its dock to a fishing hole. If the water were still, it would have taken 4.5 h to make the trip. Let x represent the speed of the boat and let y represent the speed of the water.
(a) Write an expression for the distance traveled in moving water, using 3.6 h for the time. Then write an expression for the distance traveled as if in still water, using 4.5 h for the time.
(b) Set the expressions in Part (a) equal to each other. Then solve the equation for y. Show your work.
(c) What percent of the boat’s speed is the water current?
Use the formula C = 2πr and π= 3.14 to find the circumference of a circle with a radius of 5 meters.
A.15.7 m
B.78.5 m
C.3.140 m
D.31.4 m
E.34.54 m
Geometry! What describes line FI?
The composition do,0.75(x,y) ∘ do,2(x,y) is applied to △lmn to create △l''m''n''. which statements must be true regarding the two triangles? check all that apply. ∠m ≅ ∠m'' △lmn ~ △l''m''n'' △lmn ≅ △l''m''n'' the coordinates of vertex l'' are (-3, 1.5). the coordinates of vertex n'' are (3, -1.5). the coordinates of vertex m'' are (1.5, -1.5).
Answer:
A. ∠M ≅ ∠M''
B. △LMN ~ △L''M''N''
E. The coordinates of vertex N'' are (3, -1.5).
Step-by-step explanation:
Transformation involves changing the position and size of a shape.
The true statements are:
[tex]\mathbf{\angle m \cong \angle m"}[/tex].[tex]\mathbf{\triangle lmn \sim \triangle l"m"n"}[/tex].The coordinates of n" are [tex]\mathbf{N" = (3,-1.5)}[/tex].The coordinates of the triangle are:
[tex]\mathbf{L = (-1, 2)}[/tex]
[tex]\mathbf{ M = (-1, -1)}[/tex]
[tex]\mathbf{N = (2, -1)}[/tex]
The transformation rule is given as:
[tex]\mathbf{do, 0.75(x,y)\circ,2(x,y)}[/tex]
The transformation rule is a dilation by a factor of 0.75, and then a factor of 2.
Uniform dilation changes the size of a shape, but the angles remain unchanged. This means that:
[tex]\mathbf{\angle l \cong \angle l"}[/tex].[tex]\mathbf{\angle m \cong \angle m"}[/tex].[tex]\mathbf{\angle n \cong \angle n"}[/tex].[tex]\mathbf{\triangle lmn \sim \triangle l"m"n"}[/tex]The above highlights means that:
The angles of both triangles are congruentThe triangles are similarNext, we apply the rule on the coordinates of the triangle
[tex]\mathbf{L" = 0.75 \times 2 \times (-1,2)}[/tex]
[tex]\mathbf{L" = (-1.5,3)}[/tex]
[tex]\mathbf{M" = 0.75 \times 2 \times (-1,-1)}[/tex]
[tex]\mathbf{M" = (-1.5,-1.5)}[/tex]
[tex]\mathbf{N" = 0.75 \times 2 \times (2,-1)}[/tex]
[tex]\mathbf{N" = (3,-1.5)}[/tex]
Hence, the true statements are:
[tex]\mathbf{\angle m \cong \angle m"}[/tex].[tex]\mathbf{\triangle lmn \sim \triangle l"m"n"}[/tex].The coordinates of n" are [tex]\mathbf{N" = (3,-1.5)}[/tex].Read more about transformations at:
https://brainly.com/question/11709244
Suppose that a number written as a decimal has an infinite number of non–repeating digits after the decimal point. what is this number called?
When a number has an infinite number of non-repeating digits, which is called a non-terminating decimal value, then such number is an irrational number such as 1.3127...
Irrational number are real numbers which cannot be expressed in the form of p/q ; that is they cannot be expressed accurately as a ratio.They are characterized as having repeating decimal values as well as non-terminating decimal digits. When a number has unending or infinite number of non-repeating digits, it is said to be non-terminating, hence, such number is called an irrational number.
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IS THIS TRUE OR FALSE
A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.
Which of the following inequalities is equivalent to 8 ≤ x.
Answer:
The answer is D
Step-by-step explanation:
The graph of a linear function h contains the points given in the table below.
Find h^-1. x y
-2,4
-1,2
1,-2
2,-4
a.h^-1(x)=2x
b.h^-1(x)=-2x
c.h^-1(x)=1/2x
d.h^-1(x)=-1/2x
Answer:
h-1(x) = -x
Step-by-step explanation:
The radius of a cylindrical construction pipe is 2ft . if the pipe is 23ft long, what is its volume? use the value 3.14 for π , and round your answer to the nearest whole number. be sure to include the correct unit in your answer.