Kaitlyn start a job that pays $8.50 per hour Caitlin's manager says that if her job reviews were favourable she can expect annual pay rate increases of $0.75 which equation represents the relationship between years on the job and pay for our
Given:
Initial pay rate = $8.50 per hour
Increase in pay rate = $0.75 per year
To find:
The equation that represents the relationship between years on the job and pay for hour.
Solution:
Let x be the number of years and y be the pay rate after x years.
According to the question,
Increase in pay rate in 1 year = $0.75
Increase in pay rate in x year = $0.75x
So, variable pay rate = $0.75x
Initial pay rate = $8.50
So, the total pay rate is
Total pay rate = Initial pay rate + Variable pay rate
[tex]y=8.50+0.75x[/tex]
Therefore, the required equation is [tex]y=8.50+0.75x[/tex].
Is this a cubic graph?
Is it a reflection of its parent graph?
This graph shifted _ by _ units
Answer:
we conclude that the given graph is a cubic function and is translated by shifting 2 units to the left.
Thus, the graph is shifted left by 2 units.
The graph of the parent function f(x)=x³ and f(x+2) = f(x+2)² is shown below.
Step-by-step explanation:
If we carefully analyze the given graph, it is clear that the given graph is the transformed image of form f(x+b) of parent cubic graph f(x) = x³.
In this graph, the function f(x) has been moved over 2 units to the left.
In order to shift a function 2 units to the left, we need to add '2' inside the function's input.
In other words,
f(x+2) = f(x+2)² means the function f(x) is shifted 2 units to the left.
Therefore, we conclude that the given graph is a cubic function and is translated by shifting 2 units to the left.
Thus, the graph is shifted left by 2 units.
The graph diagram of the parent function f(x)=x³ and f(x+2) = f(x+2)² is shown
below.
The red graph is representing f(x)=x³The blue graph is representing f(x+2) = f(x+2)²Solve the equation, showing each step of the solution.
1/2 (x – 10) = -4
Answer:
x=2
Step-by-step explanation:
first distribute the 1/2
1/2x - 5=-4
then add 5 to both sides
1/2x=1
multiple by 2 on both sides
x=2
Lin has a drawing with an area of 18 square inches. If she increases all the sides by a scale factor of 3, what will the new area be? square inches.
Answer:
2/3
Step-by-step explanation:
the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves
sry if wrong but i hope it helps
24 is 29% of what number? Round to the nearest tenth,
Answer:
82.8
Step-by-step explanation:
24/.29
=82.75862
but you want it rounded so 82.8 is your answer
I hope this helps
Answer:
82.8
Step-by-step explanation:
Step 1: If 29% of a number is 24, then what is 100% of that number? Set up the equation.
24 over 29% = Y over 100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
29Y = 24 x 100
29Y = 2400
Y = 2400 over 100 = 82.76
If you round 82.76 to the nearest tenth you get 82.8.
which of these are solutions to the equation -6[3x+2] =2x-5-20x-7
0
2
4
6
-6(8k+9c)-3 use c=2 and k=9
Answer:
-543
Step-by-step explanation:
For every value of k, you substitute 9 and for every value of c, you substitute 2
-6((8x(9)+ 9(2)) - 3
so order of operations says you should do what's in the parentheses first.
8 x 9= 72 and 9 x 2 = 18
so now you have -6 ( 72 + 18) -3
Finish the calculating inside the parentheses: -6 (90) -3
and now multiply -6 and 90 before you subtract 3
-6 x 90 = -540
-540 - 3 = -543
Help pls
Jay thinks of a prime number. The sum of its digits is one more than a square number. Write down one number jay could be thinking of.
Answer:
Jay could be thinking of 11
Step-by-step explanation:
Prime numbers are the numbers that have two factors only, 1 and itself as
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, .................
All prime numbers can divide by 1 and itself only
∵ A number is a prime number
∵ The sum of its digits is 1 more a square number
∴ The sum of its digits = 1 + x, where x is a square number
→ We will start with the first prime number of 2-digits
∵ 11 is a prime number
∵ The sum of its digits = 1 + 1 = 2
→ Substitute it in the equation above to find x
∴ 2 = 1 + x
→ Subtract 1 from both sides
∵ 2 - 1 = 1 - 1 + x
∴ 1 = x
∵ 1 is the square of 1
∴ Jay could be thinking of 11
You can check some of the other prime numbers to find another number
Please, can someone help???
Answer:
using sas both C angles are the same because of vertical angles
since what is given we find that BD and AE are straight lines meaning that BA and ED are parallel
this means that angle B is congruent to angle D and the same for A and E
using sas or asa we can determine BCA and ECD congruent
Step-by-step explanation:
Which relationship is always correct for the angles p, q, and r of triangle ABC?
vo
B
Op+r=9
Op+q + r = 180 degrees
Op+q + r = 90 degrees
Oq+r=p
Answer:
B because the 3 interior angles of any triangle adds up to 180 degrees.
Step-by-step explanation:
A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g (/), is proportional to the number of
seconds, t (x), that the water is running.
What is the constant of proportionality? k=-
help
Answer:
The constant of proportionality = k = 2/5
Step-by-step explanation:
Given that a garden hose fills a 2-gallon bucket in 5 seconds.Also given that The number of gallons, g (/), is proportional to the number of
seconds, t (x).
i.e.
g ∝ t
g = k × t
k = g / t
as
g = 2
t = 5
Thus,
k = g / t
= 2 / 5
Thus, the constant of proportionality = k = 2/5
Please help! I will mark the brainliest!
How do you graph the equation...
y=6x+600
y=8x
y=1300+3x
with a domain of 0 t 650 and a range of 0 d 1500
help needed! what is 2/3 of 2? (and if possible can you give an easy explanation?)
Answer:
2/3 of 2 is 1.33
Step-by-step explanation:
this because 2/3 times 2 is 1.33
Answer:
4/3
Step-by-step explanation:
2/3 of 2 is basically multiplying 2/3*2/1.
Therefore it's (2*2)/(3*1) which is 4/3.
What is the direct variation equation if Y varies directly with X and Y equals negative 12 when X equal 6
Step-by-step explanation:
y = kx, where k is a real constant.
When x = 6, y = -12:
(-12) = (6)k
Therefore k = -2.
Hence y = -2x.
The direct variation of Y with X is Y = -2X.
What is an equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations. They are employed to represent a number of physics laws.
As per the given data:
Y varies directly with X.
Y equals -12 when X equal 6.
Let's consider the equation Y = kX:
∴ -12 = k(6)
k = -2
Y = -2X
Hence, the direct variation of Y with X is Y = -2X.
To learn more about equation, click:
brainly.com/question/10413253
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Complete the missing value in the solution to the equation:
8x + x - y = 2x + 12 + 2y
( ,3
Which of the following inequalities would have a solid line when graphed? Select all that apply.
A y>x−9y is greater than x minus 9
B −5x+y≥10negative 5 x plus y is greater than or equal to 10
C y≤3x+6y is less than or equal to 3 x plus 6
D 2x−8y 0
Answer:
A. y>x−9y is greater than x minus 9
this is due in 15min and welp don't know this exactly can sum1 help me
EASYY pls help asappppppppppppp
Answer:
its B
Step-by-step explanation:
Answer:
i don't know if you still need a answer or not-
Step-by-step explanation:
What is the equation of the given linear function?
Answer:
f(x) = 9x+8
Step-by-step explanation:
In 1972, an item cost $0.28. Now the same item costs $1.02. What is the approximate percent increase of the cost of the item?
A.
27%
B.
73%
C.
264%
D.
364%
Answer:
B
Step-by-step explanation:
i did the test
Find the unknown side length of the rectangle is 3 2/3 and if the area is 11m2
Answer:
The width of the rectangle given is equal to 3m.
Step-by-step explanation:
In order to solve this question we need to know that the areas of the rectangle is equal to [tex]A_{rectangle} = (l)(w)[/tex], where "l" is length and "w" is width. So know in order to solve this question we would have to find out the unknown width by using area and the length of the triangle. Based on the formula I wrote down earlier we can understand the following.....
[tex]A_{rectangle} = (l)(w)[/tex]
[tex]\frac{A_{rectangle} }{l} = \frac{(l)(w)}{l}[/tex]
[tex]w = \frac{A_{rectangle} }{l}[/tex]
Just now we found out the formula that we can use to solve for the width when we know the area and the length of the rectangle. Now in order to get the answer we just have to plug in the values we know, and we get........
[tex]w = \frac{A_{rectangle} }{l}[/tex]
[tex]w = \frac{11m^{2} }{(3\frac{2}{3}m )}[/tex]
[tex]w = 3m[/tex]
Please help! 20 points + brainliest
(***NOTICE: Bots/trolls seeking points will be reported.***)
Solve these two equations:
For the first one we divide every element by sqrt3
we get
q+2/sqrt3 =sqrt5/sqrt3
q=(sqrt5-2)/sqrt3
q=sqrt3*sqrt5-2*sqrt3/3
q=sqrt15-2sqrt3/3
which is the third option
For the second one
sqrt(2y-5) +4=8
first we move the 4 to the right
sqrt(2y-5)=4
we remove the square root by bringing to the power of two
2y-5=16
2y=21
y=21/2
y=10 1/2
third option
16. IF X= 31, then what is the perimeter of triangle JMN?
Answer:
180
Step-by-step explanation:
To solve we must first plug 31 into each expression for x.
2(31)+5= 67
3(31)-9= 84
31-2= 29
Then, remember that the perimeter is the sum of all of the sides. So add all of the previous sums, 67+84+29. Therefore, the answer is 180.
Please help me on circle theorems
Answer:
Thus: m=14°, n=28°
Step-by-step explanation:
Angles in a Circle
Let's review some concepts about angles in a circle.
The central angle is formed between two radii and its vertex lie at the center of the circle.
The inscribed angle is formed between two chords whose vertex lies on the circumference of a circle.
The measure of a central angle x formed by the same lines that define an inscribed angle y is:
x = 2y
Following the definitions and relations above, we find that:
The measure of the central angle 98° is double the inscribed angle 35°+mThe measure of the central angle n is double the inscribed angle mThe first statement leads to:
98 = 2 (35+m)
Dividing by 2:
49 = 35 + m
m = 49 - 35 = 14
m = 14°
The second statement leads to:
n = 2m = 28°
Thus: m=14°, n=28°
what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.
Answer:
Step-by-step explanation:
Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.
$229.95 with 25% off (SHOW WORK)
Answer:
$172.46
Step-by-step explanation:
Discount = 229.95 × 25/100
Discount = 229.95 x 0.25
= $57.49
Final Price = 229.95 - 57.4875
= $172.46
The ratio of girls to boys in a student basketball league is 3:4. Choose true or false for the following statement: If there are 30 girls in the league, there
would be 40 boys. *
Answer:
True. 3:4 is the same as 30:40 because they both times 10
Step-by-step explanation:
Does this have Infinite, No, or One solutions? 9x - 17 = -17 + 9x
Answer:
infinite
Step-by-step explanation:
plz give brainliest
Answer:
infinite
it has infinite solutions because the numbers on both sides of the equal sign are exactly the same
Step-by-step explanation:
21. Translate the statement below.
"A number is no more than 50"
A. x < 50
B. x less than or equal to 50
C. x > 50
D. x is greater than or equal to 50
thanks for helping!
Answer:
$45
Step-by-step explanation:
so where the line intercepts the 2 hours is $45, and to find the .25 hours we take the $20 for working one hour and divide that by four, because .25 is 1/4 of an hour. so 20/4 is five. then you add 5 to 40 and we get $45 for work 2.25 hours. hope that helped