Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)
Answers
Answer:
y=|x+1|
Step-by-step explanation:
The y value appears to be 1 more than the x value, so we need to add one to the x to make them even. (x+1)
But the y value doesn’t go below zero, so we need to add the absolute value brackets |x+1|
So y=|x+1|
The graph represents the equation : g(x) = |x + 1|
We have a graph given to us.
We have to write the algebraic expression depicting this graph.
What is Modulus of the function y = f(x) = x ?The modulus of the function y = f(x) = x is given by -
y = |x| = [tex]\left \{ {{x\;\;for\;x > 0} \atop {-x\;\;for\;x < 0}} \right.[/tex]
Using the above property, we can find out the number of solutions of any modulus equation.
The algebraic equation for the graph can be written as -
g(x) = [tex]\left \{ {{x+1;\;for\;x \geq 0} \atop {-x-1\;for\;x < 0}} \right.[/tex]
In the form of modulus function, we can write the above equation as -
g(x) = |x + 1|
Hence, the graph represents the equation : g(x) = |x + 1|
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Related Questions
What is the slope of each line? Line A: y = one-half x minus 4 Line B: y = 2 x minus 3
Answers
Answer:
1/2
2/1
use the method rise over run
Step-by-step explanation:
Kendra was given this system of equations. Negative 3 x + 7 y = negative 15. Negative 2 x minus 7 y = 5. Kendra’s work is shown in the table. Where, if anywhere, did Kendra first make a mistake? Steps Kendra’s Work Step 1 Negative 3 x + 7 y = negative 15. Negative 2 x minus 7 y = 5. Negative 5 x = negative 10. Step 2 Negative 5 x = negative 10. x = 2. Step 3 Negative 3 (2) + 7 y = negative 15. Negative 6 + 7 y = negative 15. 7 y = negative 9. y = Negative StartFraction 9 Over 7 EndFraction = negative 1 and StartFraction 2 Over 7 EndFraction step 1 step 2 step 3 no mistake
Answers
Answer:
i dont think Kendra made a mistake
Step-by-step explanation:
Given:
Kendra was given this system of equations.
-3x+7y=-15 and -2x-7y=5.
TO FIND :
The steps in Kendra’s work where did she make a mistake.
SOLUTION :
Kendra's work :
Step 1 :
Given equations are
-3x+7y=-15
and
-2x-7y=-15
Step 2:
Adding the equations (1) and (2) we get
-5 x = -10.
x=-10/-5
x = 2.
Step 3:
Substitute the value of x in the equation (1) we have,
-3(2)+7y=-15
-6+7y=-15
7y=-15+6
7y=-9
y=-9/7
y=-1 2/7
From Kendra's worked steps she made no mistake.
Hope this helps, if it did, please give brainliest, it will help me a lot :)
Have a good day :)
3. Order the following numbers on a number line (least to greatest).
A.1.8, 1.35, 2.5, V5
B.1.35,75, 1.8, 2.5
C.1.35, 1.8, V5, 2.5
D.1.35, 1.8, 2:5, V5
Answers
square root of 5 equals 2.236068. So,, Choice C is the correct option witht he numbers from least to greatest. Hope this helps.
Just trust me
A bowling ball is pushed with a force of 22.0 N and accelerates at 5.5 m/s2. What is the mass of the bowling ball? Ik the answer is 4.0, but I got it wrong for 4.00. I based the significant numbers off the 22.0 but apparently it's the 5.5. I always get it wrong when the question involves two numbers with different amounts of significant numbers (sometimes I use the smaller one but it wanted the bigger). How do I know when to use more or less significant numbers?
Answers
Step-by-step explanation:
You should always use the least number of significant figures. The exception is exact numbers or constants.
For example, there are 60 minutes in an hour. Even though this number has one significant figure, it is an exact number. So 15 minutes converted to hours would be 0.25 hr.
Please I need help on 1 and 2. Thank you.
Answers
Answer:
1. C
2. 55°
Step-by-step explanation:
So, we know that for an angle with its vertex inscribed on the circle, the arc it opens up to is twice the angle's measure, so we can get m∠ADE = 1/2(measure of arc AE), which is C.
Now we can input the measure of arc AE into the equation. So, m∠ADE = 1/2 * 110, and we can find out that m∠ADE = 55°.
---
I hope this helps, let me know if you have any questions.
Miguel wants to use coordinate geometry to prove that the
opposite sides of a rectangle are congruent. He places
parallelogram ABCD in the coordinate plane so that Ais (0,0),
Bis (a, 0), Cis (a, b), and Dis (0, b).
What formula can he use to determine the distance from
point A to point B?
A. (2-0)2 + (6-b)2 -
B. Via-0)2 + (0-0) - V-a
C. (2-0)2 + (0-0)2 =
D. V-0)? +(5-6)2 - 12 -
= a
Answers
Answer:
[tex]Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}[/tex]
[tex]Distance = a[/tex]
Step-by-step explanation:
Given
[tex]A = (0,0)[/tex]
[tex]B = (a,0)[/tex]
[tex]C = (a,b)[/tex]
[tex]D = (0,b)[/tex]
Required
Determine the distance between A and B
The distance between points is calculated as thus;
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Considering points A and B
[tex]A(x_1,y_1) = (0,0)[/tex]
[tex]B(x_2,y_2) = (a,0)[/tex]
Substitute values for [tex]x_1, x_2, y_1[/tex] and [tex]y_2[/tex] in the above formula
[tex]Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}[/tex]
The above expression represents the distance between A and B;
However, it can be solved further as thus
[tex]Distance = \sqrt{( -a)^2 + (0)^2}[/tex]
[tex]Distance = \sqrt{a^2 + 0}[/tex]
[tex]Distance = \sqrt{a^2}[/tex]
[tex]Distance = a[/tex]
Hence, the distance between A and B is a
A spinner has 3 options and a bag
has 4 numbered marbles. You spin
the spinner once and randomly
pull i marble. What is the PROB-
ABILITY of spinning the letter 'C'
or pulling an odd number?
Answers
Answer:
1/6
Step-by-step explanation:
Spinner = 1 out of 3
Marbles = 2 out of 4
1/3x2/4=2/12=1/6
f(X) x-2/5 g(X) x-5 find f inverse g inverse= 7 and solve it
Answers
Answer: 62/5
Step-by-step explanation:
You are given the following functions:
F(X) = x-2/5
g(X) = x-5
First find the inverse of the two functions.
To find inverse, first make f(x) and g(x) equal to y, interchange x and y and make y the subject of formula
F(x) = x - 2/5
Y = x - 2/5
Interchange y and x
X = y - 2/5
Make y the subject of formula
Y = x + 2/5
Therefore, f^-1(x) = x + 2/5 ..... (1)
Also,
g(x) = x - 5
Y = x - 5
X = y - 5
Make y the subject of formula
Y = x + 5
g^-1(x) = x + 5
To find g inverse of 7, substitute 7 for x in the above formula
g^-1(7) = 7 + 5 = 12
f inverse g inverse = 7 will be achieved by substitute 12 for x in the equation (1)
F^-1(12) = 12 + 2/5 = 62/5
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?
Answers
Answer:
14 units.
Step-by-step explanation:
Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.
P = 2(l + w)
P = 2(3 + 4)
P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)
P = 14 units and 14 units.
You could also do addition.
P = 3 + 3 + 4 + 4
P = 6 + 8
P = 14 units
Hope this helped!
Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 7?
Answers
Answer:
line of slope 1 move up 7, so that there is a y-intercept of 7
Step-by-step explanation:
Answer:
There should be a y intercept of seven. :)
Which of the following shows one way to simplify *picture attached*
Answers
Answer:
C
Step-by-step explanation:
Took the test
The one way to simplify the algebraic summation expression is; [[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]
How to solve Algebra Summation?
We want to simplify the algebraic summation;
[∑⁴³_(n = 1)] (3 + 9n)
Now, due to the addition sign, we can simplify this as;
[[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]
The only option that corresponds to our answer is Option A and so is correct.
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Please help me with this geometry question:((
Answers
Answer:
7.06
Step-by-step explanation:
Write a proportion using similar triangles.
DF / DG = DE / GE
x / 8 = 15 / 17
x = 7.06
X = 7.06
A square playground has an area of 263 ft2. What is the approximate length of each side of the playground? Round your answer to the nearest foot. 17 ft 18 ft 131.5 ft 16 ft
Answers
Answer:
Approximately 16 feet
Step-by-step explanation:
If the playground has a square shape, then its area equals the square of the playground's side (S):
[tex]S^2=263 \,\,ft^2\\S = \sqrt{263} \,\,ft\\S\approx 16.217 \,\,ft \\S\approx 16\,\,ft[/tex]
Answer:
16 feet
Step-by-step explanation:
The area of a square can be found using the following formula.
[tex]A=s^2[/tex]
We know that the area of the playground is 263 ft^2. Therefore,
A=263 ft^2
[tex]263 ft^2= s^2[/tex]
We want to find out what s, the side length, is. s is being squared. The inverse of a square is a square root. Therefore, we must take the square root of both sides.
[tex]\sqrt{263 ft^2} =\sqrt{s^2}[/tex]
[tex]\sqrt{263ft^2}=s[/tex]
[tex]16.2172747 ft=s[/tex]
Round to the nearest foot. The 2 in the tenth place tells us to leave 16 as is.
[tex]16 ft=s[/tex]
The approximate length of each side of the playground is 16 feet.
PLEASE HELP!!! WILL MARK BRAINIEST IF CORRECT!
1. Create a data set with at least 15 values, including one value that is an outlier.
2. Give the data set.
3. Find the mean of the data.
4. If you remove the outlier, will the mean decrease, increase, or remain the same? Explain why.
5. Find the mean without the outlier to show that your response is correct.
Answers
Answer:
1 and 2. { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 , 100 }
3. Mean ➡ 13.67 ( About )
4. The mean will decrease. The mean is the average difference between the values in a data set, and this outlier is much greater than the rest of the values. Therefore, in the absence of the outlier the mean will decrease.
5. Mean ➡ 7.5
Step-by-step explanation:
I do want to point out that there is no " correct " answer in this case, but if you are referring to accuracy in terms of the calculations ( mean ) in this set, then I can understand.
1 and 2. An outlier is a value that does not belong to the set of values, considering their is pattern among the numbers. In other words it can be a number of high value, or a number of low value with respect to the data set. This throws the pattern of the set off balance, and does result in drastic changes in the mean.
Let's say that this is the following set - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 }. A very basic set, but as you can see contains only 14 elements. This last element here will be the outlier, 100 - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 100 }.
3 and 4 and 5. Assuming that this outlier was not present, I can tell that the set would have a mean less than when it was present. The mean is the average difference in the data set, and this outlier is greater than the other elements - greatly increasing the mean. The mean of the data set with the outlier is 13.67, and the mean of the data set without the outlier would be 7.5.
A school trip requires students to score at least a total of 335 points on four tests. Each test is worth 100 points. If a student's scores on the first three tests
were 77, 95, and 82, what score would the student need on the last test to have no less than 335 points ?
O A. 79
OB. 75
O C. 93
O D. 81
Answers
Answer:
D. 81
Step-by-step explanation:
You need to first add 77, 95 and 82 to get 254, Then you do 335 - 254 which is 81.
Answer:
D. 81
Step-by-step explanation:
To get the answer all you need to do is add all of the scores of the first three tests and then subtract that from 335.
True or False: When you interpret a Stem-and-Leaf plot, you make a list of numbers.
Answers
Answer:
False
Step-by-step explanation:
help meeeeeeee plzzzzzzzzzzz
Answers
Answer:
Second one is the corect probability for the problem
HELP!!!! PLEASE! 10 POINTS Which function is graphed?
Answers
Answer:
f(x)=2x-6
Step-by-step explanation:
Because the slope is 2 and the y-intercept is -6.
[tex]x[/tex]Answer:
The answer would be [tex]f(x)=2x-6[/tex]
Step-by-step explanation:
The question is basically asking for the slope intercept form and [tex]f(x)[/tex] is equal to [tex]y[/tex]. So after we have figured that out we would have to know what the slope intercept form is, slope intercept form is simply [tex]y=mx+b[/tex]. In the equation [tex]m[/tex] will equal the slope or the rise over run and [tex]b[/tex] will equal the y-intercept and that is all we need to solve this equation.
If we look at the graph we will see that the line crosses the y axis at the point (0,-6) so knowing that we will remember that [tex]b[/tex] is the y-intercept is where the line crosses the y axis and in this case it is crossing it at -6 so if we plug that into the equation we will get [tex]y=mx-6[/tex].
Now we will find the slope or [tex]m[/tex]. First we will see the distance between the 2 points on the graph, if we count we will have to go up 6 to get to (0,0) and we will go right 3 so we know that slope is rise over run so you would go up or rise 6 and go right or run 3 so we would get [tex]\frac{6}{3}[/tex] as our slope, but we could simplify this to just 2 so we would get [tex]2x[/tex] as our [tex]mx[/tex].
We have solved all of the parts and now we can put it together. So first we would do f of x or [tex]f(x)[/tex] which means function and than we would put [tex]2x[/tex] and finally we would put our [tex]-6[/tex]. When we put that all together we would get [tex]f(x)=2x-6[/tex].
To check you could just graph this and you would get:
P.S. The f(x) turned into a y in the process:)
how do i solve this? isn’t it already simplified? i’ll give brainliest
Answers
Answer:
[tex]-6 <x <-3[/tex]
Step-by-step explanation:
[tex]-53 <9x+1 <-26[/tex]
Add -1 to all parts.
[tex]-53-1 <9x+1-1 <-26-1[/tex]
[tex]-54 <9x <-27[/tex]
Divide all parts by 9.
[tex]-54/9 <(9x)/9 <-27/9[/tex]
[tex]-6 <x <-3[/tex]
What is the volume of the following rectangular prism?
Answers
Answer:
65/8 units ³
Step-by-step explanation:
V = l x w x h
l x w = 16 1/4 units² = 65/4 units²
h = 1/2 units
V = 65/4units² x 1/2units = 65/8 units ³
In which quadrant does the point (-23 , -10) lie? A. Quadrant II B. Quadrant IV C. Quadrant III D. Quadrant I
Answers
Answer:
C.Quadrant III
EXPLANATION:
IN THIRD QUADRANT THAT'S WHERE -NEGATIVE COORDINATES LIE
pls help me i give brainliest
Answers
Answer: I Thing the answer may be 7units. Please correct me if i'm wrong
Step-by-step explanation:
PLZ HELP ME!!!!!!!!!!!!!!!!
Answers
Answer:
6
Step-by-step explanation:
To find the GCF do the prime factorization of each term
24: 2x2x2x3
18t: 2x3x3xt
Now find the numbers that they both have in common
That would be 2 & 3
When you multiply them together you should get 6
This is the same as 6(3t + 4) because we can add two terms in any order
To get either answer, we first note that 6 is the greatest common factor (GCF) of 18 and 24. So we factor each term so that a 6 is involved. Then we use the distributive property in reverse like so
24 + 18t = 6*4 + 6*3t = 6(4 + 3t)
The distributive property is a(b+c) = a*b + a*c. We multiply the outer term 'a' by each term inside the parenthesis. Then we add the results.
Is this figure an example of a line
Answers
Answer:
No , It has two endpoints.
Explanation: A line segment has two end points with a definite length.
A straight line has neither starting nor end point and is of infinite length.
A line is meant to extend infinitely in opposite directions, while a line segment, is meant to have two endpoints. (A and B) This would be an example of a line segment.
Monica measures the number of bacteria that are living on her petri dish. Each day, she measures the amount of change in the number of bacteria. These amounts create a geometric sequence. Use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day. Day Amount of Change in Bacteria 1 2 2 −8 3 32 4 −128 −6553.2 −10.8 6554 11.6
Answers
Answer:
6554
Step-by-step explanation:
The sequence 2, -8, 32, -128 has a first term (a1) of 2 and a common ratio (r) of -8/2 = -4. The sum of n terms is given by ...
Sn = a1·(r^n -1)/(r -1)
For your sequence, the sum of 7 terms is ...
S7 = 2·((-4)^7 -1)/(-4-1) = 2(-16384/-5) = 6554
The sum of changes after the 7th day is 6554.
Answer:
C
Step-by-step explanation:
took test
Simplify the following algebraic expression 3/4 (1/2x-12)+4/5
Answers
Answer:
y = 3/8x - 9 + 4/5
Step-by-step explanation:
assuming y = 3/4 (1/2x-12)+4/5
multiply 3/4 and (1/2x - 12)
y = 3/8x - 9 + 4/5
Answer:
Step-by-step explanation:
The LCD here is 120. Multiplying both terms by 120 and then dividing the result by 120 yields
90(1/2x - 12) + 96 45x - 1080 + 96 45x - 984
-------------------------- = ------------------------------- = ----------------------
120 120 120
The weights, in pounds, of the upper-class men offensive line players for a college are shown below: 322, 290, 321, 326, 330, 315, 311, 292, 290 What is the average, or mean, weight of the upper-class men offensive players? Provide your answer with 3 sig figs. -311 pounds -315 pounds -290 pounds -318 pounds
Answers
Answer: 311 pounds
Step-by-step explanation:
To find the average, add up all of the values and divide by the amount of values.
First add up all of the values.
322+290+321+326+330+315+311+292+290 = 2797
Now count how many values there are and divide your previous sum by it.
2797/9 = 310.78
Because you need to have 3 sig figs, round to the nearest one.
310.78 rounds up to 311.
answer-311
Step-by-step explanation:
322+290+321+326+330+315+311+292+290=2797
Count the number of values and divide by 2797
2797 divided by 9 =310.77777777777777
Nearest one-311
(20 POINTS!!!) Bob can paint a room in 3 hours, and Suzie can paint one in 2 hours. How long will it take them together to paint a room?
Answers
Answer:
1 hour 12 minutes or 1.2 hours
Step-by-step explanation:
You add fractions to get this.
1 room/3 hours + 1 room / 2 hours = 1 room / x
0.33333333+0.5 = 1 room / x
0.83333333 = 1 / x Multiply both sides by x
0.83333333x = 1 Divide by 0.8333333
x = 1/0.833333
x = 1.2 hours or
x = 1 hour and 12 minutes
find the sum of even numbers between 1001 and 10,000 (Arithmetic progressions) DO STEP BY STEP PLEASE
Answers
Step-by-step explanation:
arithmetic progression
even numbers between 1001 and 10000
1002,1004,.......9998
Tn=a+(n-1)d
Tn = 9998 last term in the progression of even numbers
a = 1002 first term
d = 2 distance
9998=1002+(n-1)(2)
8996=2n-2
8998=2n
n = 4499 the number of terms
sum = n/2 (a+Tn) = 4499/2(1002+9998)
= (4499/2)(11000) = 24744500
Logic:
notice what happens when you add the first and last terms
1002+9998=11000
1004+9996=11000
.......
Find the output. y. when the input. x,is - 1.
Answers
Answer:
the answer is 3
Step-by-step explanation:
if on the x-axis is -1 go over to -1 on the x- axis and then go up to the peak of the line and on the y- axis it would be 3
y=3
The value of output will be 3.
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The value of input (x) = - 1
Now,
Since, The value of input (x) = - 1
By graph it is clear that;
At value x = - 1, we get;
The value of output (y) = 3
Thus, The value of output (y) = 3
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