The x-axis is equivalent to x = 4, x + y = 0, x = y, and y = 4, and the value of the x-axis is y = 0.
What is equivalent?Expressions that are equivalent do the same thing even when they have distinct appearances.. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s)
The Cartesian plane is what?A coordinate system is a plane with Cartesian coordinates. Each point is uniquely identified by a pair of numerical coordinates that are the signed distances from two fixed perpendicularly oriented lines to the point, measured in the same unit of length.Given that all of the y-values on the x-axis are zero, the x-axis' equation is y = 0.Similar to the x-axis, the y-axis also has all zero values, therefore the equation of the y-axis is x = 0.((This presupposes that we're referring to the Cartesian plane, i.e. we are limiting ourselves to two dimensions.)
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A side of the triangle below has been extended to form an exterior angle of 127. Find the value of x.
Answer:
37
Step-by-step explanation:
180-127=53
180-53-90=37
Describe the set of nonnegative powers of 10 using the following.
(x | x = , n = 0, 1, 2, 3, …)
The set of non negative powers of 10 is given as
(x | x = 10ⁿ , n = 0,1,2,3....)
Powers of 10 is any integer powers of the number 10. In simple words 10 multiplied by itself several times.
We need to define a set of nonnegative powers of 10 using the given set builder notation .
Powers of 10 is expressed as = 10ⁿ where n = 0,1,2,....
Thus in set builder form we can write
(x | x = 10ⁿ , n = 0,1,2,3....) which states that x is such that (which is denoted as '|' ) x is equal to 10ⁿ where n is equal to 0,1,2,....
Hence the set of non negative powers of 10 is given as
(x | x = 10ⁿ , n = 0,1,2,3....)
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Solve for x. 0.5(5 - 7x) = 8 - (4x - 6)
there are 19 pieces of candy in the candy jar Mrs Breen lost her mind and started eating all these mindlessly she realize she had consumed eight pieces of candy approximately.what percent of candy does she eat??
Solve for x
–2x +3 = –x + 12
Answer:
X =-9
Step-by-step explanation:
Answer:
x = -9
Step-by-step explanation:
–2x +3 = –x + 12
+x +x
-x +3 = 12
-3 -3
-x = 9
/-1 /-1
x = -9
Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of function in your answer. Need help with this I don't know.
Answer:
The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
Step-by-step explanation:
The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
I attached an Image you can visualize it clearly
P.S I ain't that good at drawing though :P
8 out of 20 students attended tutorials. What is the decimal equivalent to the fraction of students who attended tutorials?
Answer:
0.4
Step-by-step explanation:
8/20 = 0.4
help meeeeeeeeeeeeeee
Answer:
A
Step-by-step explanation:
If each lawn he mows earns him $25, at one lawn mowed he would have $25. At two lawns mowed he would have $50. At three lawns mowed he would have $75. We graph these points to get the graph of answer A.
PERSEVERE When is 4x < 4? Use a drawing to justify your
reasoning.
The expression 4x < 4 is true, when x is less than 1
How to determine when 4x < 4?The inequality expression is given as
4x < 4
Divide both sides of the inequality by 4
So, we have
4x/4 < 4/4
Evaluate the quotient
x < 1
This means that the expression 4x < 4 is true, when x is less than 1
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if the entrance ramp has an elevation of 15° with the vertical lift is 28 feet. what is the distance up the ramp?
Help I give brain help please
Answer:
x > 3
Step-by-step explanation:
180x > 540
x > 540/180
x > 3
log (x-1) + log (x+1)=3
Solve for x
log (x-1)/(x+1) = log 10^3 ; [tex]\frac{x-1}{x+1}[/tex] = 1000; x-1 = (x+1)*1000 ; x-1 = 1000x + 1000 ; 999x = -1001 ; x = -1001/999 ; x ≈ -1
You will visit the nine states below, with the following rather odd rule: you must cross each border between neighboring states exactly once (so, for example, you must cross the Colorado-Utah border exactly once). Can you do it? If so, does it matter where you start your road trip? What fact about graph theory solves this problem?
The first three terms of an arithmetic series are 6p+2, 4p²-10 and 4p+3 respectively. Find the possible values of p. Calculate the common difference for each value of p.
Answer:
First Case:
[tex]\displaystyle p=\frac{5}{2}\text{ and } d=-2[/tex]
Second Case:
[tex]\displaystyle p=-\frac{5}{4}\text{ and } d=\frac{7}{4}[/tex]
Step-by-step explanation:
We know that the first three terms of an arithmetic series are:
[tex]6p+2, 4p^2-10, \text{ and } 4p+3[/tex]
Since this is an arithmetic sequence, each subsequent term is d more than the previous term, where d is our common difference.
Therefore, we can write the second term as;
[tex]4p^2-10=(6p+2)+d[/tex]
And, likewise, for the third term:
[tex]4p+3=(6p+2)+2d[/tex]
Let's solve for d for each of the equations.
Subtracting in the first equation yields:
[tex]d=4p^2-6p-12[/tex]
And for the second equation:
[tex]2d=-2p+1[/tex]
To avoid fractions, let's multiply the first equation by 2. Hence:
[tex]2d=8p^2-12p-24[/tex]
Therefore:
[tex]8p^2-12p-24=-2p+1[/tex]
Simplifying yields:
[tex]8p^2-10p-25=0[/tex]
Solve for p. We can factor:
[tex]8p^2+10p-20p-25=0[/tex]
Factor:
[tex]2p(4p+5)-5(4p+5)=0[/tex]
Grouping:
[tex](2p-5)(4p+5)=0[/tex]
Zero Product Property:
[tex]\displaystyle p_1=\frac{5}{2} \text{ or } p_2=-\frac{5}{4}[/tex]
Then, we can use the second equation to solve for d. So:
[tex]2d_1=-2p_1+1[/tex]
Substituting:
[tex]\begin{aligned} 2d_1&=-2(\frac{5}{2})+1 \\ 2d_1&=-5+1 \\ 2d_1&=-4 \\ d_1&=-2\end{aligned}[/tex]
So, for the first case, p is 5/2 and d is -2.
Likewise, for the second case:
[tex]\begin{aligned} 2d_2&=-2(-\frac{5}{4})+1 \\ 2d_2&=\frac{5}{2}+1 \\ 2d_2&=\frac{7}{2} \\ d_2&=\frac{7}{4}\end{aligned}[/tex]
So, for the second case, p is -5/4, and d is 7/4.
By using the values, we can determine our series.
For Case 1, we will have:
17, 15, 13.
For Case 2, we will have:
-11/2, -15/4, -2.
PLEASE answer this correctly bc i will give u brainliest and extra points
2/9 divided by 4????
Answer:
2/36 or simplfyed is 1/18
Step-by-step explanation:
Answer:
2/9 ÷ 4 = 2/36
Step-by-step explanation:
2/9 & 4
2/9÷4=?
2/9×1/4
=2/36
So 2/36 is equivalent fraction for 2/9 divided by 4
What are the like terms in the following expression: 5a+2b-3a *Write your answer with one term, comma, the next. no spaces. For example: a,b
a is the only like term in the expression.
6+x is an example of
The complete statement is that 6+x is an example of an expression
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the example of the given parameter?The parameter is given as
6 + x
The above parameter has the following properties:
VariablesCoefficients andOperatorsRecall that expressions are mathematical statements that are represented by variables, coefficients and operators
Hence, the complete statement is that 6+x is an example of an expression
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find the sum to infinity
Answer:
-7/27
Step-by-step explanation:
-14/54
Hope this helped :)
In the figure below what is the value of the CD arc?
a) 114°
b) 84°
c) 40°
d) 134°
e) 124°
Answer:
e
Step-by-step explanation:
The secant- secant angle CAD is half the difference of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] ( CD - BE ) = 20 ( multiply both sides by 2 )
CD - BE = 40 , substitute values
3x + 10 - 2x - 8 = 40
x + 2 = 40 ( subtract 2 from both sides )
x = 38
Thus
arc CD = 3x + 10 = 3(38) + 10 = 114 + 10 = 124° → e
A parallelogram is transformed according to the rule (x, y) - (x. y). Which is another way to state the
transformation?
O R0 90 degrees
O R0 180 degrees
O R0 270 degrees
O R0 360 degrees
Write the equation of the line in slope-intercept form that passes through (3, 10) and (2, 4)
Answer:
y=6x-8
Step-by-step explanation:
10-4/3-2
m=6/1
y=mx+b
y=6x+b
4=6(2)+b
4=12+b
-8=b
y=6x-8
Find an equation of the line that passes through the pair of points (-5, -9) and (2,-7)
Answer:
y=0.3x - 7.6
Step-by-step explanation:
line: y=ax+b
a= Δy ÷ Δx
a= (-9 + 7) ÷ (-5 - 2)
a= -2 ÷ -7 = approximately 0.3
y=0.3x + b
Now you can fill in one of the points to find b (or both to make sure you got the answer right).
0.3 × 2 + b = -7
0.6 + b = -7
b = -7 - 0.6 = approximately -7.6
So: an equation of the line that passes through this pair of points is y=0.3x - 7.6
On a test, i would write as many decimals as possible if not said not to, to get the most exact answer. Also remember to keep calculating with the number on your calculator and not to round them off for the most exact answer.
Beth had a 15-piece pack of gum. She
gave each of her friends two pieces
of gum and kept 3 pieces for herself.
How many friends does Beth have?
Answer:
6
Step-by-step explanation:
Since she gave herself 3 pieces of gum, she gave 12 pieces to her friends. She gave 2 pieces to each friends. 12 pieces of gum divided by the 2 pieces given to each friend is 6
i need help with this pleaseeeeeeeeeee
Answer:
1820
Step-by-step explanation:
65 pushups x 28 days
megan bought 3 tickets to the ballet for $57.50. how many would it cost for her to buy 15 tickets.
Answer: $287.50
Step-by-step explanation:
Find out how much each ticket costs: 57.50/3= 19.17
Multiply that by 15: 19.7x15=287.5
Tom is 8 years older than Jerry. The sum of their age is 80. What is Tom's age?
Answer: Tom is 46 years old and Jerry is 34 years old.
What does k represent in the equation y=kx
A- constant of proportionality
B- dependent variable
C- Krispy Kreme X
D- independent variable
Answer:
D= Independent variable
Step-by-step explanation:
Ed Moura has $73000 invested in stocks paying 8%. How much additional money should he invest in certificates of
deposit paying 4% so that the average return on the two investments is 5%?
Answer:
The additional money that Ed Moura should invest in certificates of deposit paying 4% so that the average return on the two investments is 5% is 219,000.
Step-by-step explanation:
It is given that Ed Moura has $73,000 invested in stocks earning an average return of 8%, and that he should put the remaining funds in certificates of deposit paying an average return of 4%, the average return on the two investments is 5%, than;
=> 0.08 (73,000) + 0.04b = 0.05 (b + 73,000)
=> 5840 + 0.04b = 0.05b + 3650
=> 0.01b = 2190
=> b = 219,000
=> $219,000
Therefore, the additional money that Ed Moura should invest in certificates of deposit paying 4% so that the average return on the two investments is 5% is $219,000.
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6th grade math help me please :)
Answer:
katie
Step-by-step explanation:
because 10 is bigger than 8