Complete the description of the piecewise function graphed below.
Step-by-step explanation:
not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).
I assume, we have the following points :
(-6, 1.5) (-3, 3)
(-3, 2) (1, 2)
(1, 1) (6, -9)
all 3 segments are lines with the basic function definition
y = ax + b
a is the slope of the line function and is always the factor of x.
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
b is the y-intercept (the y value when x = 0).
the first segment goes from (-6, 1.5) to (-3, 3).
x changes by +3 units (from -6 to -3).
y changes by +1.5 or 3/2 units (from 1.5 to 3).
the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2
giving us the first part
y = (1/2)x + b
b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :
3 = (1/2)×-3 + b
3 = -3/2 + b
6/2 + 3/2 = b
9/2 = b
the full equation is
y = (1/2)x + 9/2 = (x + 9)/2
the second segment is a flat, horizontal line and is simply
y = 2
the third segment goes from (1, 1) to (6, -9) :
x changes by +5 units (from 1 to 6).
y changes by -10 units (from 1 to -9).
the slope of the line is -10/5 = -2
giving us the first part
y = -2x + b
b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :
1 = -2×1 + b
1 = -2 + b
3 = b
the full equation is
y = -2x + 3
The answer is in the pic below!
Chelsea borrowed P10,00 for 18 months at a rate of 10%.How much is the total amount due?
Answer:
11,536.89733 (rounded to 11,536.90)
Step-by-step explanation:
10,000(1+0.1)^1.5
P(1+r)^t
P=Principal
r=rate
t=time(in years)
Which could be the lengths of three sides of a triangle?
a. 10 ft, 10 ft, 21 ft
b. 19 ft, 11 ft, 3 ft
c. 18 ft, 8 ft, 10 ft
d. 12 ft, 25 ft, 35 ft
e. 4 ft, 4 ft, 8.4 ft
Answer:
I believe it is d
Step-by-step explanation:
it is the only option where every combination of two sides is larger than the third
Answer:
d
Step-by-step explanation:
if you add up 2 sides it is larger than the third, which is what we are looking for :))
At an outdoor party location, the tables seat 12 guests each. The party host invited 163 people and 9 people responded that they would not attend. What is the fewest number of tables needed to seat all of the guests attending the party?
Answer:B
Step-by-step explanation:
Orion buys 3 books for a total of 25.50. He pays $8 plus sales tax for each book. He wants to know how much the sales tax is for one book.
Let "t" equal the sales tax Orion pays for each book. Write an equation that represents this situation.
The equation that represents this situation is 8 + 3t = 25.50.
How to calculate the value?Let the sales tax for each book be represented as t.
Since Orion buys 3 books for a total of 25.50 and he pays $8 plus sales tax for each book. This will be illustrated as:
Cost of book + Tax = Total amount
8 + (3 × t) = 25.50
8 + 3t = 25.50
Collect like terms
3t = 25.50 - 8.
3t = 17.50
Divide
t = 17.50 / 3
t = 5.83
The sales tax is $5.83.
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A garden has several rows of pumpkin plants.Each row has 10 plants how many pumpkin plants could be in the. Garden what strategy would you use.
Answer:
since they are in groups of 10, there could be 10,20,30,40,50,60....
I hope it helps.
The total number of pumpkin plants could be 10y where, y is number of rows.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here it is given that :
Each row of garden has 10 plants
Let the number of rows of pumpkin plants be = y
Then the total number of pumpkin plants will be the multiplication of y and 10 that is : 10y
Therefore,The total number of pumpkin plants could be 10y where, y is number of rows.
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A pyramid has a square base of length of 12m. Given the slant height of the pyramid is 15 m, draw its net and hence, find its total surface area.
Answer:
the surface area is 180 if u use multiplication
Step-by-step explanation:
the surface is 0.8 if you use devide
the surface is 3 if u use subtract
and the surface is 27 if you use addition
correct me if I'm wrong :)
I don’t know what way the line goes
Answer:
line goes from bottom left to top right or as we would call it positive. now the +5 is your y intercept so start at 5 and go up one over 2 right because that is your slope
need help plssss!!!!
should I call 911 !!!!!!!!!!!!!!
Writing quadratic functions
Answer:
So, y = x^2 is a quadratic equation, as is y = 3x^2 + x + 1. All of these are polynomial functions of degree 2. Often you will be given the quadratic ...
Identify the mistake in the solution below and explain how
to correct it. Determine the correct answer.
Algebra
3x - 5+ 3x = x + 8-x-1
6x – 5 = 2x + 7
4x - 5 = 7
4x = 12
x = 3
Steps
original problem
combine like terms
subtract 2x from both sides
add 5 to both sides
divide both sides by 4
-
Answer:
Mistake is on second line.
x = 2
Step-by-step explanation:
The first two lines are (I added the boldface):
3x - 5 + 3x = x + 8 - x - 1
6x – 5 = 2x + 7
The first line has x and -x. They add to 0.
The second line on the right side should have just 7, but the x and -x of the first line were incorrectly added together giving 2x.
The second line should be:
6x - 5 = 7
Add 5 to both sides.
6x = 12
Divide both sides by 6.
x = 2
A triangle has two sides of length 15 and 1. What is the largest possible whole-number length for the third side?
Answer:
15
Step-by-step explanation:
The conditions for triangle side lengths are:
A + B > C
A + C > B
B + C > A
The reverse is true too, of course:
A < B + C
B < A + C
C < A + B
Note that it's just 'greater than', not 'greater than or equal to' ( ≥ )
With those in mind, if 15 and 1 are A and B:
15 + 1 > C
15 + C > 1
1 + C > 15
And those can be simplified to these:
C < 16
C > -14 ( can be ignored because of the next one)
C > 14
And finally:
14 < C < 16
The largest whole number that fits those requirements is 15.
3.) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.
Answer:
6.4
Step-by-step explanation:
5+7+7+5+7+7+6+7+7 = 58
There are 9 numbers
58 ÷ 9 = 6.444444
To the tenth = 6.4
A
Plz help!!!!!! !!!!!!!!!!!
Answer:
R is at the ordered pair (4, -2)
Step-by-step explanation:
A rocket sled accelerates from 10 m/sec to 50 m/sec in 2 seconds. What is the acceleration of the sled?
Answer:
50
Step-by-step explanation:
on edge
Stacy and Jessica own a small business. Stacy, working alone can complete a job in 8 hours. Jessica can complete the same job in 9 hours. How long would it take them to complete the job working together?
Answer:
17 hour
Step-by-step explanation:
8+9=17
Which ordered pair represents a solution to both equations?
Answer:
-3,-1
its obvious because all you're doing is plting points
Which two ratios make a proportion. a) 9÷12 and 15÷20 b) 4/25 and 17/101
PLZ ANSWER QUICK will mark branilyist.
Answer:
I think the answer would be b
Find the value of 9+ y when y=13.
Answer:
22
Step-by-step explanation:
When y is 13 ,
9 + y
9 + 13 = 22
Alvin is 14 years younger than elga. The sum of their age is 78.
Answer: 46
There are four consecutive integers that add up to 22 what is the greatest integer
Answer:
7
Step-by-step explanation:
We can use the equation:
x + (x + 1) + (x + 2) + (x + 3) = 22
Combine like terms
4x + 6 = 22
Subtract 6 from both sides
4x = 16
Isolate x
x = 4
Plug in x
4 + (4 + 1) + (4 + 2) + (4 + 3) = 22
Solve
4 + 5 + 6 + 7 = 22
7 is the greatest integer
PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!
Combined Area Expression:
(36 + x - 2 + x - 2)(20 + x - 2 + x - 2) = (32 + 2x)(16 + 2x)
= 4(16 + x)(8 + x)
Area:
4(16 + 5)(8 + 5) = 4 * 21 * 13
= 1092 m^2
what is P= 100 I/RT a) I=3, R=4 and T=2
Answer:
not sure what that a) means but...
P = 300/8 = 150/4 = 75/2
Answer:
Answer: 19
Step-by-step Explanation:
P=x
x= 3 -(-8)(2)
x = 3 --16
(A negative plus a negative equal a
positive)
x= 19
Find the slope of the line that passes through (7, 1) and (2, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-2/5
Step-by-step explanation:
slope equation is as follows -
(y1-y2)/(x1-x2)
now we just put (7,1) and (2,3) into the formula
(1-3)/(7-2)
-2/5
PLEEEAASSEEE HELP
Find the constant of proportionality and write an equation for the following proportional relationship.
You can buy 14 apples for $28.
Use a to represent number of apples and c to represent the cost
Answers:
constant of proportionality: 2equation is: c = 2a==================================================
Explanation:
a = number of apples purchased
c = cost in dollars
The equation is in the form c = ka, where k is the constant of proportionality. It tells us what to multiply 'a' by to get the cost c. In more realistic practical terms, the value of k is the cost per apple (aka unit cost).
To find this unit price, we divide the given price by the given number of apples: k = c/a = 28/14 = 2. Each apple is $2. The constant of proportionality is 2.
We'll update the equation from c = ka to c = 2a
Note that if we bought a = 14 apples, then it costs us c = 2a = 2*14 = 28 dollars as expected.
Answer:
c=2a
Step-by-step explanation:
c=2a
Please help me . Thank you
Answer: 36
Step-by-step explanation:
K(x) = 2x^2 - 5x + 3
K(-3) = 2(-3)^2 - 5(-3) + 3
K(-3) = 2*9 + 15 + 3
K(-3) = 18+15+3
K(-3) = 36
how does the graph of y=Vx+2 compare to the graph of the parent square root function
Option c since the equation shifts 2 units vertically up compared to parent square root function
Help u guys plssss number 8
Answer:
27
Step-by-step explanation:
Note : -
That square like symbol at the intersection of two lines is 90°.
( 4x - 18 )° and 90° are corresponding angles.
Corresponding angles are equal since lines
a & b are parallel.
4x - 18 = 90
4x = 90 + 18
4x = 108
x = 108 / 4
x = 27
plz help I need answer asap!
Answer:
x=2.4
Step-by-step explanation:
for this one we find the scale factor you can pick any two similar points i picked 3 and 1.8 i did 1.8/3 and found the scale factor is .6 so x= ML or 4 * .6 (our scale factor) which gives x=2.4
Answer:
x=2.4
Step-by-step explanation:
This is simple! If you know how to find scale factor then then problem is a breeze.
Look at side JK and side PQ. To find the scale divide 3 by 1.8 This gives you 1.66666666667. We don’t want this long number but we can work with it :3
Now to find that missing side= x
4 / 1.66666666667= 2.4
x=2.4
( pssstt! This “/“ means division ;-)
hope this helped :D
Given that 6x – 7y=4
Find x when y = 2
Answer:
x = 3
Step-by-step explanation:
6x - 7y = 4
We are given that y = 2
6x - 7(2) = 4
6x - 14 = 4
Add 14 on both sides to leave the 6x alone
6x = 18
Divide by 6 to isolate x and find the value of x
x = 3
We can further prove this by putting in the value of x
6(3) - 7(2) = 4
18 - 14 = 4
Which is correct
Answer:
3
Step-by-step explanation: