The graph shows the equation y = 2x – 3. Use the slider for a to move the vertical line on the graph. Based on the vertical line test, is this equation a function? Why or why not?
Answers
Answer:
Yes. The vertical line never touches the graph at more than one point at the same time.
Step-by-step explanation:
this is the plato and edmentum answer
(make sure this is the right question)
As the vertical line touches the graph of the equation y = 2x - 3 it is a function.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, An equation y = 2x - 3.
Now, If we draw a vertical line and it touches the graph at only one point
the equation is a function but if the vertical line touches the graph at more than two points the equation is not a function.
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Related Questions
Planet Earth has a mass of 5.9726 × 10 24 kilograms. And although 70% of the Earth's surface is made of water, the water's mass is only 5 × 10 -4 percent of the Earth's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.
Answers
Given parameters:
Mass of the earth = 5.9726 x 10²⁴kg
Mass of percent water on earth = 5 x 10⁻⁴% of the total mass of the earth
Unknown:
Mass of water on earth = ?
Solution
This is pretty straight forward;
Mass of water on earth = mass percent of water x mass of earth
Input the parameters and solve;
Mass of water on earth = [tex]\frac{5 x 10^{-4} }{100}[/tex] x 5.9726 x 10²⁴
= 5 x 10⁻⁴ x 10⁻² x 5.9726 x 10²⁴
= 5 x 5.9726 x 10⁻⁴⁺⁽⁻²⁾ ⁺²⁴
= 29.863 x 10¹⁸kg
or 2.9863 x 10¹⁹kg
Mass of water on earth is 2.9863 x 10¹⁹kg
PLEASE HELP ME MY TEACHER IS MAKING ME REDO THIS AND I'M GONNA FAIL HER CLASS IF I DON'T FINISH THIS
Answers
Answer:
8 3/4 ?
Step-by-step explanation:
divide
srry if its not what your looking for
H-E-B sells steak for $6.10 per pound. What would be the cost of 2.6 pounds of steak
Answers
Answer:
the answer is $15.86
Which number set correctly represents the range of the given data?
{(0, 0), (2, 0), (3, 0), (5, 0)}
{0, 2, 3,5)
{0, 2, 3)
{0,2)
(0)
Answers
Answer:
I would assume {0, 2, 3, 5}
Step-by-step explanation:
I would assume that answer because all three are given in the range of the given data set.
Answer:
The answer is [0] (D)
Step-by-step explanation:
Given the fact that the Range is Y value, we see 0,0,0,0
So its 0
Simplify by dividing 3/5 divide by (-4/9).
Answers
Answer:
a)-27/20
Step-by-step explanation:
3/5 ÷ (-4/9)
3/5 × (-9/4)
-27/20
Hope it will help
at the zoo there are 3 times
Answers
Answer:
at the zoo there are 3 times what?
Step-by-step explanation:
What type of number is 8/2?
Choose all answers that apply:
А
Whole number
B
Integer
C
Rational
D
Irrational
Answers
Answer:
A,B,C
Step-by-step explanation:
It is A because 8/2 simplifies to 4 which is a whole number.
4 is an integer, idk if its asking for 8/2 as itself but a fraction isnt an integer.
The fraction above is obviously rational number.
All the types for the number 8/2 is,
A. Whole number
B. Integer
C. Rational
Given that,
The number is,
⇒ 8/2
Now, simplify the number as,
⇒ 8/2
⇒ 4
Clearly, 4 is a whole number and it is an integer.
Here, 4 is written as, 4/1
So, it is also an rational number.
So, the correct options are,
A. Whole number
B. Integer
C. Rational
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For the following exercises, rewrite the quadratic functions in standard form and give the vertex. Standard form is y=a(x-h)²+k
6.) f(x) = x² – 12x + 32
8. f(x) = x² - x
10. h(x) = 2x² + 8x - 10
Answers
8.x(x-1)
10.2(x+5)(x-1)
Find the intercepts of the given line:
y=−6x+21
Answers
Answer:
x-intercept = 3.5y-intercept = 21Step-by-step explanation:
x-intercept is for y = 0
y-intercept is for x = 0
Substitute
For y = 0
-6x + 21 = 0 |subtract 21 from both sides
-6x = -21 |divdie both sides by (-6)
x = -21/(-6)
x = 21/6
x = 3.5
For x = 0
y = -6(0) + 21
y = 0 + 21
y = 21
So (0,21) is the starting point and if you rise -6 and run 1 you get (15,1) and you keep doing that until u get a line
of equ
final equation is a true sta
A 4x - 3= 2x + 13
Answers
Answer:
8
Step-by-step explanation:
Step 1:
4x - 3 = 2x + 13 Equation
Step 2:
4x = 2x + 16 Add 3 on both sides
Step 3:
2x = 16 Subtract 2x on both sides
Step 4:
x = 16 ÷ 2 Divide
Answer:
x = 8
Hope This Helps :)
Answer:
x=8
Step-by-step explanation:
4X-3=2x+13
+3. +3
4X=2x+16
-2x. -2x
2x=16
/2. /2
x=8
find the area of each shaded region
Answers
The top portion would be 2x2=4cm^2
To find the bottom numbers, we have one side that we know is 6, to find the other side, we know the whole side is 6 but we would subtract the 2 to make it even. That would give us 6x4. 6x4=24cm^2
Then we add both together to get the whole object’s area.
4+24=28cm^2
For the second shape, we would find the area of the large shape then find the area of the small shape. We would subtract the small shape’s area from the large shape.
8x5=40cm^2
2x3=6cm^2
40-6=34cm^2
The final answers for both shapes are 28cm^2 and 34cm^2
Write the following equation in slope intercept form:
y + 9 = 3(x - 1)
Answers
Distribute 3 to (x-1), 3x-3
y+9=3x-3
Subtract 9 on both sides
y=3x-12( the answer)
The slope intercept form of the given equation y + 9 = 3(x - 1) is
y =3x-12 .
What is slope intercept form ?
The slope intercept is a form of two variable linear equation in x, y is given by
y = m x + c
y is y coordinate, x is x coordinate , m is called slope , c is y intercept
For the given equation
y + 9 = 3(x - 1)
⇒ y + 9 = 3x -3
Subtracting 9 from both sides of this equation, we get
⇒ y+9-9 = 3x-3-9
⇒ y = 3x - 12
This is the slope intercept form with m = 3 and c = -12
Therefore , the slope intercept form of the equation y + 9 = 3(x - 1) is
y =3x-12
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Solve for x: [x] - 8 = -5
O x = -13 and x = -3
O x = 3 and x = -3.
O x = 3 and x = 13
O No solution
Answers
Can someone help me
Answers
Answer:
Su=10
Explaination:
So from s to u on the nunebr line is worth 2x-12. So what is s to u worth? Well. S to t on the number line = x-7. T to u =6. And 2 x is worth 12 more than s to u, using th e expression. X has to be at least 8 because otherwise the x-7 wouldn't work, and u might get s to u = 0 or a negative number.
Say x was 13, then 13 - 7 =6. So S to t =6. And r to u =6. So s to u =12. (6+6). Then check if the expression fits this answer of 12. 2x - 12. 2x = 26. 26-12=14, which doesn't match.
Let's try 14. 14-7=7. Then s to u = 7+6=13. The expression: 2x= 28. 28-12=16. 13 and 16 dont match. So we have got further away from what we need. Why don't we try going in the opposite direction. Rather than testing 13 and +1, let's now - 1 and try 12.
If x=12, then s to t =12-7=5. And s to u =6+5=11. The expression: 2x=24.-12=12. We are very close now with 11 and 12.
Lets test x=11!
S to t = 11-7=4. 4+6=10. So s to u =10.
2x=22. 22-12=10. So the expression works and the number line measurements.
The answer is su=10 and x=11.
Test 4,580 for divisibility by 2, 3, 5, 9, and 10.
Answers
By 2 = 2290
By 3 = about 1526.6667 or you can just write 4580/3
By 5 = 916
By 9 = about 508.8889
By 10 = 458
To which set or sets of numbers does the number 5 belong?
Answers
Answer:
what are the options
Step-by-step explanation:
i would help but I don't know what to answer
Which product is negative?
0 -3.4.(-2) · (–7)
0 -3.5.(-6). 4
0 -4.(-6) · (-3) - (-5)
0 -7.(-3) · (–9). O
Answers
Answer:
The answer would be -3.5.(-6). 4
Step-by-step explanation:
A box of LED light bulbs was tested to see how long the light bulbs last. The standard deviation of the light bulb lifetime data was five years. Which of the following is the best interpretation of this value?
Fifty percent of the light bulb lifetime data is below five years.
The difference between the longest and shortest light bulb lifetime was five years.
The lifetime of the light bulbs typically varies by about five years from the mean.
The middle half of the light bulb lifetime data has a range that is five years wide.
Answers
The difference between the longest and shortest light bulb lifetime was five years is correct interpretation so option (B) will be correct.
What is the standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
In other meaning, standard deviation shows the deviation of the value of data from the mean.
Standard deviation is how much-given data is deviate from the mean of it.
So the difference between the longest to shortest gives an idea about this deviation.
Hence "The difference between the longest and shortest light bulb lifetime was five years is a correct interpretation".
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The Corner Cafe offers a 10% off senior citizen discount. If Mr. and Mrs. Schmidt order $36.00 worth of food and are senior citizens, how much can they expect to save?
Answers
Answer:
$3.60
Step-by-step explanation:
$36.00 × 10%= $3.60
is negative 2 rashihol
Answers
Answer:
Yes, -2 is a "rashihol" number
1.
Solve -x + 9x = -4
Solution x= and x =
Answers
Answer:
x = - 1/2Step-by-step explanation:
-x + 9x = -4
8x = -4
x = -4/8
x = -1/2
PLS HELP QUICK WILL GIVE BRAINLIEST!!!!
Answers
Answer:
what is the question you need done..?i cant see the question
Find the equation, in standard form, of the line passing through the points
(2,-3) and (4,2).
A. 5x+2y=16
B. 5x – 2y=16
C. y=5/2x+8
D. 2x – 3y=9
Answers
Answer:
B
Step-by-step explanation:
To solve for the slope:
(2-(-3))/(4-2)=5/2
y=5/2x+b
plugin points:
2=5/2(4)+b
2=10+b
b=-8
so equation of the line is y=5/2x-8
and in standrd form its 5x-2y=16
Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+ 16x– 4 = ?
Answers
Answer:
Step-by-step explanation:
If you factor out the greatest common factor (4), your expression should be
4 (x^2 + 4x - 1)
Answer:
[tex]4(x^2+4x-1)[/tex]
Step-by-step explanation:
Henry is filling up his fish tank with water at a constant rate.
At 2 minutes the water level is 16 cm. At 8 minutes the water level is at 34 cm.
Explain how you figured out the water level at 0 minutes.
Answers
Answer:
It would have started to be filled at 10 cm
Step-by-step explanation:
FInd teh difference between 8 and 2 which is 6
Find the difference between 34 and 16 which is 18
Divide 18 by 6 which is 3
Subtract 2(3) = 6 by 16 which is 10
Using the linear system to solve the problem. Then the water level at 0 minutes is 10 cm.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. It is a combination of infinite points side by side.
Given
Henry is filling up his fish tank with water at a constant rate.
At 2 minutes the water level is 16 cm.
At 8 minutes the water level is at 34 cm.
We know that the linear equation
[tex]\rm y = mx +c[/tex]
Where
m be the rate of filling water in the tank.
c be the initial water in the tank.
y be the water level of the tank in cm.
x be the time in minutes.
At 2 minutes the water level is 16 cm. Then
[tex]\rm 16 = 2m + c[/tex] ...1
At 8 minutes the water level is at 34 cm. then
[tex]\rm 34 = 8m +c[/tex] ...2
From equations 1 and 2, we have
m = 3, and c = 10
Then the equation will be
[tex]\rm y = 3x + 10[/tex]
For x = 0, then y = 10
Thus, the water level at 0 minutes is 10 cm.
More about the linear system link is given below.
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Baron, Gab, and Oliver can paint a room together in 2 hours, 1f Gab does the job alone. he can paint the same room in 5 hours. If Baron works alone, he can paint the room in hours. If Oliver works alone, how long would it take him to paint the room?
Answers
Answer:
11 hours
Step-by-step explanation:
I hope this help!
Find the slope of a line graphed below
Answers
Answer:
Slope is 2/5x
Step-by-step explanation:
Evaluate the function for the indicated input
Answers
[tex]f(0)=0^2+0-6=\boxed{-6}[/tex].
Hope this helps.
A person invested $6,000 in an account growing at a rate allowing the money to
double every 11 years. How much money would be in the account after 19 years, to the
nearest dollar?
Answers
Answer:
P(19)=$19,852
To the nearest dollar.
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
[tex]P(t)=P_o(1+r)^t[/tex]
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We are given the condition that an investment of Po=$6,000 in an account doubles every 11 years. The final value of the investment in t=11 is P(11)=$12,000.
Substituting into the general equation:
[tex]12,000=6,000(1+r)^{11}[/tex]
Dividing by 6,000 and swapping sides:
[tex](1+r)^{11}=2[/tex]
Taking the 11th root:
[tex]1+r=\sqrt[11]{2}[/tex]
[tex]1+r=1.065[/tex]
Substituting into the formula:
[tex]P(t)=6,000(1.065)^t[/tex]
Now we need to find the money in the account after t=19 years:
[tex]P(19)=$6,000(1.065)^{19}[/tex]
P(19)=$19,852
To the nearest dollar.
11. Solve the following equation. –4 = seven over thirty-three times x (1 point) x = one hundred thirty two over seven x = Negative one hundred thirty two over seven x = Negative seven over one hundred thirty two x = Negative thirty three over twenty eight
Answers
Answer:
C. x = Negative seven over one hundred thirty two
Step-by-step explanation:
Solve the following equation.
–4 = seven over thirty-three times x
A. x = one hundred thirty two over seven
B. x = Negative one hundred thirty two over seven
C. x = Negative seven over one hundred thirty two
D. x = Negative thirty three over twenty eight