The equation of piecewise function is [tex]y=-\frac{1}{2} x+2[/tex]
Equation of piecewise function:From given graph of function, we have to write function for the domain of [tex]-2\leq x\leq 2[/tex].
It is observed that, in the particular domain graph of function is a straight line, which passes through the points [tex](-2,3)[/tex] and [tex](2,1)[/tex].
Equation of line is,
[tex]y-3=\frac{1-3}{2+2}(x+2) \\\\y-3=-\frac{1}{2} (x+2)\\\\y=-\frac{1}{2} x-1+3\\\\y=-\frac{1}{2} x+2[/tex]
The equation of piecewise function is [tex]y=-\frac{1}{2} x+2[/tex]
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What is the answer please help me
Answer:
am not really sute bt its ..no
Find the tenth term of the geometric sequence with a1 = 3, and r = 2.
1377
1526
1659
1536
1500
General term of GP: a
1
r
n−1
10
th
term of GP =a
1
r
9
=45(0.2)
9
=23040×10
−9
=2.304×10
−5
Answer:
1536
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
Here a₁ = 3 and r = 2 , then
a₁₀ = 3 × [tex]2^{9}[/tex] = 3 × 512 = 1536
Imagine you measure the length of 15 cars, and then sum that length, in order to see how big a parking lot must be. You do this in two different ways. First, you use the same bad tape measure for each car so that your measurement is always 1 cm too long, or always too short, for all of the measurements. For your second attempt, you use a different bad tape measure for each car, so there is an uncertainty of plus or minus 1cm in each measurement. What is your estimate of the total error in the sum of all the car lengths in these two cases
Answer:
± 15 cm
Step-by-step explanation:
In the first case, since the measurement is 1 cm too long or too short, the error is ± 1 cm.
In the second case, the uncertainty or error is also ± 1 cm.
Now, since there are 15 cars, and there is an error of ± 1 cm in each measurement, by the error formula the total error in the sum of both cases is 15 × ±1 cm = ± 15 cm
So, the total error in both cases is ± 15 cm.
Which term best describes the two lines represented by the equations below?
Answer:
Option (2)
Step-by-step explanation:
Equations of the lines have bee given as,
y = [tex]\frac{4}{3}x-5[/tex]
y = [tex]\frac{4}{3}x+3[/tex]
Both the equations are in the slope intercept form. (y = mx + b)
They have same slopes but different y-intercepts.
Same slopes of the equations define the lines to be the parallel lines.
Therefore, Option (2) will be the correct option.
One lap around the lake is 710 mile.
Dasha runs 9 laps around the lake.
Use the drop-down menus to complete the equation.
Helpppppp plssss
Consider the numbers z= 2 + 5i, w = -3- 2i, and u=-1+2i.
z+w is equal to -1+vi
w-u is equal to - 4i
u + w is equal to -4 -
Answer:
Step-by-step explanation: 4i = i4 so divide that into one half and you get 4r
Answer:
3, 2, 0
Step-by-step explanation:
just trust me
Pls can anyone help il give more points plsss
Answer:
1. 25
2. 3 hours
3. from 10:00 am to 10:30 am because he went 10 miles in 30 minutes
Step-by-step explanation:
Help me pls pls pls
Answer:
F
Step-by-step explanation:
Dependent is the y-axis and independent is the x-axis. So your answer is F.
Hope this helps, thank you !!
Help plz dis is a lil importatnete
Following order of operations:
3^2 = 9
(10-2) = 8
Now you have :
9 + 8 x 5 -4
Multiplication is next:
9 + 40 -4
Now just add and subtract from left to right:
9 + 40 = 49
49-4 = 45
The answer is 45
Step-by-step explanation:
So first you solve whats inside of the parenthesis 10 -2 aand get 8 then you figure 3^2 which is 9 then multiplie 8 times 5 and get 40. 9 + 40 - 4 is what it is so far then add 9 to 40 which is 49 then subtract 4 and get 45!
Last week a gumball machine dispensed 12 purple gumballs and 48 other gumballs. What is
the experimental probability that the next gumball dispensed will be purple?
Simplify your answer and write it as a fraction or whole number
P(purple) =
Answer:
1/5
Step-by-step explanation:
12/60=1/5
Ac= 5x+13 bd=11x-5 what is x?
Answer:
ohhhhhhhhhhhhhhhhh 8====> have a good day
Answer:
x=3
Step-by-step explanation:
Note: I'm not sure what "Ac" stand for but I am solving for your equation.
help with this plz brainliest
Answer:
5. b 6. c 7. d 8. a
Step-by-step explanation:
State the postulate or theorem you would use to prove each pair of triangles congruent. If the triangles cannot be proved congruent, pick not possible
The triangles can be proven similar by the congruent theorem of triangles
What are Congruent Triangles?
Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the two triangles be ABC and DEF
Now , the two triangles will be similar if
The three sides are equal
So , AB = BC = CD and
DE = EF = FD
And the two triangles are congruent if
By ASA theorem - two angles are the same and a corresponding side is the same
And ,
By SAS theorem : Two sides are equal and the angle between the two sides is equal
And ,
By RHS theorem : A right angle, the hypotenuse and a corresponding side are equal
Hence , the triangles ABC and DEF is similar ΔABC ≅ ΔDEF
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Your teacher gave you 2/3 a bag of candy, but she only gave your friend 1/8 of a bag.
How much more of the bag did your teacher give you than your friend?
Answer:
Step-by-step explanation:
We can convert the 2/3 bag of candy that we got to 16/24, by multiplying both the top and bottom by 8. Similarly, we multipy the 1/8 bag of candy that our friend got by 3 on the top and bottom to get 3/24.
We find the difference between these two:
(16/24) - (3/24) = (16-3)/24 = 13/24
So we get 13/24 more of the bag of candy than our friend did. (That's more than half!)
Compare -3 and 9. Which of the following is true?
O A. 1-31 > 191 and -3 < 9
B. 1-31 < 19 and -3<9
C. 1-31 = 19 and -3 < 9
D. 1-31 > 191 and -3>9
Please I need help
Answer:
b :)
Step-by-step explanation:
If you simplify it you get:
|-3|<|9|
3 < 9
true
and -3 < 9
true
lmk if you got the answers
Step-by-step explanation:
area of trapezium= 1/2×sum of parallel sides× height
=1/2×(9+9+7)×8
=1/2×25×8
=100
I hope this helps( ╹▽╹ )♥
1 2/5 x 1 2/5 as a fraction mixed fraction
Answer:
1 24/25 or one and twenty-four twenty-fifths (in word form).
Step-by-step explanation:
This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.
1 2/5=7/5
7/5*7/5= 49/25 or 1 24/25.
Anyhow, the answer is 1 24/25
The simplified mixed fraction for the given fraction is [tex]24\frac{1}{2}[/tex]
What are mixed fractions?A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.
Given that a fraction [tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]
We need to simply it in a mixed fraction,
[tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]
= 7/2 × 7/2
= 49 / 2
= [tex]24\frac{1}{2}[/tex]
Hence, the simplified mixed fraction for the given fraction is [tex]24\frac{1}{2}[/tex]
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Which expression is equivalent to
(r-7)6
Answer:
6r-42
hope that help you
Pablo walks 1/2 mile to school and 1/4 of an hour. What is the unit rate in miles per hour?
Answer:
Unit rate = 2m/h
Step-by-step explanation:
Distance = 1/2 mile x 4 = 2 miles
Time = 1/4 x 4 = 1 hr
Unit rate = 2m/h
I hope im right!!
The Amar family drives 90 miles in 2 hours, as shown on the double number line below.
image 05c5e308c558498fa8ba743ccde15e1d
At this rate, how many hours will it take the family to drive 225 miles?
A.
2.5 hours
B.
5 hours
C.
6 hours
Answer:
oh nah 1.98
Step-by-step explanation:
Answer: 45
Step-by-step explanation:
divide 90 by 2
middle school math
True or false:
There is some translation
(x, y) + (x + h, y + k) that maps a square
to a circle.
Select one:
O True
False
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
In art class,Oren class or make flowers out of button or has 16 buttons and he uses 6 buttons to make each flower he makes as many flowers as he can.how many flowers does Oren make?how many buttons are left?
Answer:
2 with 4 left over
Step-by-step explanation:
Write an algebrale expression for the phrase "elghe more than three times a
number
x 3
Step-by-step explanation:
The amusement park won’t allow kids to ride roller coasters until they are a minimum of 48 inches tall. Michael is now 42 inches tall, and grows about 1/2 inches every month. How many months will it be until Michael can ride a roller coaster? (Solve with inequalities and solve for x)
42+1/2x=48
1/2x=6
x=6*2
x=12
12 months or a year until he could ride a roller coaster.
On Saturday, Luke drove 5x − 4 miles. On Sunday, he drove 3x − 3 miles. What is the difference in miles driven?
A. 2x+1
B. 2x + 7
C. 2x - 1
D. 2x - 7
PLEASE ANSWER ASAP IM TAKING THE TEST RN
The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x) =56x -0.020x^2 0less than or equal to x and 2800 is greater than or equal to x
Answer:
[tex]Rate = 15[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 56 - 0.020x^2[/tex]
Required
Find the average change from 1,000 car seats to 1,050 car seats --- Missing information
This is calculated using:
[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]
In this case:
[tex]a = 1000[/tex]
[tex]b = 1050[/tex]
Now, we have:
[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
Calculating R(1050)
[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]
[tex]R(1050) = 58800-22050[/tex]
[tex]R(1050) = 36750[/tex]
Calculating R(1000)
[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]
[tex]R(1000) = 56000- 20000[/tex]
[tex]R(1000) = 36000[/tex]
So:
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
[tex]Rate = \frac{750} {50}[/tex]
[tex]Rate = 15[/tex]
The average rate of change is 12
Solve this system by substitution. y = 3 y = -3x + 6 *Remember to write your answer as a coordinate point (x, y). I
Answer:
(1, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Coordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 3
y = -3x + 6
Step 2: Solve for x
Substitute in y: 3 = -3x + 6[Subtraction Property of Equality] Subtract 6 on both sides: -3 = -3x[Division Property of Equality] Divide -3 on both sides: 1 = xRewrite/Rearrange: x = 1Step 3: Solve for y
Define original equation: y = -3(1) + 6Multiply: y = -3 + 6Add: y = 3Simplify each expression. (10x3y2/5x-3y4)-3 x=0 y=0
Answer:
D
Step-by-step explanation:
Determine the AMPLITUDE and the MIDLINE of the sine function below.*
1 poin
y = – 3sin(2x) - 5
a. Amplitude = -3, Midline = -5
b. Amplitude = 3, Midline 5
c. Amplitude = 3, Midline - 5
d. Amplitude = 2, Midline = – 3
O a.
Step-by-step explanation:
Amplitude of the sine function is 1.
So if its multiplied by -3, its amplitude is 3 (its always positive).
The midline of sin x is 0.
The midline of sin 2x is also 0.
The midline of -3*sin 2x is also 0.
So if you subtract this function by 5, then the new midline is -5.
What is the circle the triangle and the square
Answer:
26
Step-by-step explanation:
○= 7
□=5
◇=4 (The triangle)