Answer:
y = 3 for 0 <= x < 4
y = 5 for 4 <= x < 8
y = 7 for 8 <= x < 12
y = 9 for 12 <= x < 16
y = 11 for 16 <= x < 20
x represents the number of years of employment.
for example, when x = 4, the employee has been there a full 4 years and is entitled to an additional 2 dollars wage to make the total wage equal to 3 + 2 = 5.
your graph stops at x = 16 because that's the number of years being considered.
at x = 16, the wage will be 11 dollars.
the closed circle indicates the value of y is valid at that value of x.
an open circle indicates the value of y is not valid at that value of x.
for example, when x = 4, y = 3 is not valid anymore, but y = 5 is.
on the 16th year of employment, the employee is entitled to an additional 2 dollars wage and starts earning at a wage of 11 dollars.
at employment (x = 0), the employee starts earning a wage of 3 dollars.
at 4 years (x = 4), the employee starts earning a wage of 5 dollars.
at 8 years (x = 8), the employee starts earning a wage of 7 dollars.
at 12 years (x = 12), the employee starts earning a wage of 9 dollars.
at 16 years (x = 16), the employee starts earning a wage of 11 dollars.
x represents a full year of employment.
y represents the wage the employee is entitled to earn.
rovers,United and City are football teams
rovers scored x goals
United scored 8 goals more than rovers
City scored 3 goals less than twice the number of goals scored by rovers
the three teams scored a total of 117 goals
solve to find the value of x
Based on the information given, the value of x is 28 which means that Rovers scored 28 goals.
Number of goals scored by Rovers = x
United scored 8 goals more than rovers. This will be = x + 8
City scored 3 goals less than twice the number of goals scored by rovers. This will be: = 2[x} - 3 = 2x - 3
Since the three teams scored a total of 117 goals, this will be:
x + x + 8 + 2x - 3 = 117
Collect like terms
4x = 117 - 8 + 3
4x = 112
x = 112/4
x = 28
The value of x is 28
Read related link on:
https://brainly.com/question/24424070
write each fraction number as a decimal write each fraction number as a decimal 4/33
A sample is taken from all students in the art department. Students who wear
glasses are excluded. What is this an example of?
A. Selection bias
B. Nonselection bias
C. Nonresponse bias
D. Response bias
SUBMIT
Answer:
A. Selection Bias
Step-by-step explanation:
Selection bias is the bias introduced by the selection of individuals, groups, or data for analysis in such a way that proper randomization is not achieved, thereby ensuring that the sample obtained is not representative of the population intended to be analyzed. This is represented by choosing the students without glasses.
Answer:
selection bias
Step-by-step explanation:
i got it right
Write a quadratic equation in standard form that has roots of -12 and 2
Answer:
x² + 10x - 24
Step-by-step explanation:
Given the roots are x = - 12 and x = 2 then the corresponding factors are
(x + 12) and (x - 2) and their product equals zero , that is
(x + 12)(x - 2) = 0 ← expand using FOIL
X² + 10X - 24 = 0
What letter stays the same when reflected over the x-axis
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:
Solve simultaneously :
a) y=2x-3
2y+x=4
Answer:
hope this helps you
have a great day
which number has a 3 that is ten times greater than the 3 in 513
Answer:
5130
Step-by-step explanation:
You just multiply 513 by 10 to get 5130.
You can check this answer by just seeing if it fits the requirements, which it does. Making it the correct answer.
What is the perimeter of this rectangle?
21 units
3 units
12 units
None of the above.
Answer:
12
Step-by-step explanation:
12 units....
perimeter is the total surface area of a certain object or shape... counting only the surfaced side of each square tat makes up this rectangle.... its perimeter is 12 units
write an expression that means the same as the sentence. "the sum of sixteen and g is equal to seventy divided by seven. "
HOW MANY DEGREES IN A COMPLIMENTARY ANGLE???
90 degrees
pls give me brainliest
Y'ALL, WOULD A KIND SOUL PLEASE PLEASE HELP ME???!!!!!!!!!!! im running out of points
Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.
show how you got your answer so I can see if it makes any sense!!!
1. ∠A and ∠B are complementary
2. ∠A + ∠B = 90° and ∠B + ∠C = 90°
3. ∠A = 90° - ∠B
4. ∠C = 90° - ∠B
5. ∠A ≅ ∠C
Write an equation for the line that is parallel to 8x + 2y = 4 and goes through (0,7)
Answer:
y = -4x +7
Step-by-step explanation:
First, we need to find the slope of the first equation
8x + 2y = 4
Subtract both sides by 8x
8x + 2y = 4
-8x -8x
2y = -8x + 4
Then divide both sides by 2 to isolate the variable, y
2y/2 = (-8x + 4)/2
y = -4x + 4
This means the slope is -4, so our other equation will need to have the slope of -4 to be parallel
y = -4x + ?
Wait, the equation also needs to be a line where it goes through (0,7)
Luckily, that just seems to be the y-intercept, so our work is cut out for us.
Here is our equation
y = -4x + 7
You can plug in the numbers to check
7 = -4(0) +7
7 = 0 + 7
7 = 7
A man is37years old and his child is eight.how many years ago was the product of their ages 96
Answer:
WHEN X =5 LHS = 32*3 => 96 IS EQUAL TO RHS. therefore five years ago their product of ages is equal to 96.
hope this helps!
A bag contains yellow-blue-, orange-, green-, red- and black-colored crayons The table below shows the results of selecting one crayon from the bag, recording the color and then replacing the crayon. What is the experimental probability of selecting a crayon that is either orange or red?
What is the equation of the line that passes through the point (6,3) and has a slope
of -1/3?
Answer:
y = - [tex]\frac{1}{3}[/tex] x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{3}[/tex] , then
y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute (6, 3 ) into the partial equation
3 = - 2 + c ⇒ c = 3 + 2 = 5
y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line
You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 6 total people. How much
yogurt should you add
Answer:
Step-by-step explanation:
1 2/4
Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.
That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.
Hope this helps and if possible brainliest please?
Using exponential notation
Hello there!
Law of Exponent
[tex] \displaystyle \large{ {a}^{ \frac{m}{n}} = \sqrt[n]{ {a}^{m} } }[/tex]
The first problem asks us to write the cube root of 17 in exponential form. Refer the exponent's law above.
[tex] \displaystyle \large{ \sqrt[3]{17} = \sqrt[n]{ {a}^{m} } }[/tex]
Compare the terms.
a = 17m = 1n = 3Hence,
[tex] \displaystyle \large{ \sqrt[3]{17} = {17}^{ \frac{1}{3} } }[/tex]
The second problem asks us to write 13^{1/2} in radical form. Refer the law above.
[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = {a}^{ \frac{m}{n} } }[/tex]
Compare the terms.
a = 13m = 1n = 2Hence,
[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = \sqrt{13} }[/tex]
Conclusion
First answer is 17^{1/3}Second answer is √13Let me know if you have any questions!
Topic: Exponent / Fractional Exponent and n-th root /
6-r+3r=4 solve for r
Answer:
r=-1
Step-by-step explanation:
6-r+3r=4
or, 6+2r=4
or, 2r=-2
or, r=-1
divide 6q by q please solve this and help me to get out of this
Step-by-step explanation:
the answer is 6
please mark me brainliest
Answer:
[tex] \frac{6q}{q} \\ \frac{6 \times q}{q} \\ when \: q \: is \: divided \: by \: q \: then \: the \: remainder \: is \: 1 \\ 6 \times 1 \\ 6[/tex]
(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))
Answer:
Here is your answer . Hope this helps.
The cube of the difference of a number and 4
Answer:
(x - 4)³
Step-by-step explanation:
"The cube of x" would be x³. The difference of a number and 4 would be x - 4.
Therefore, "the cube of the difference of a number and 4" would be
(x - 4)³
tim x: 3x(x-2) + 2(2-x)=0
Answer:
Assuming this is the full problem.
3x^2-8x+4
Step-by-step explanation:
So like for integers when it’s only 28 - 19 do you change the negative to a positive like 28 - 19?
Answer:
Sorry I don't really understand your question, but 28-19 is 9 therefore 9 is more than 0
9 >0
Write the rational numbers whose multiplicative inverse are themselves
Answer:
the rational numbers whose multiplicative inverse are themselves are 1& -1.hope it helps .stay safe healthy and happy.What is the solution set to this equation?
log4 (x + 3) + log4x =1
A. x=0
B. x=1
C. x=1 and x= -4
D. x=-3 and x=0
Answer:
B
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log (xy)
[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]
Given
[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then
[tex]log_{4}[/tex] x(x + 3) = 1
x(x + 3) = [tex]4^{1}[/tex] = 4
x² + 3x = 4 ( subtract 4 from both sides )
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
However, x > 0 , thus x = 1
explain what a ratio is in the easiest way possible
Step-by-step explanation:
A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.
is this right ,and if not respond quickly
Answer:
Q.3 It takes 490 seconds for light to get from the sun to the earth should light travel at the above-mentioned speed.
what is ⅓ + ⅒? please
Answer:13 over 30
13/30 or 0.433
Step-by-step explanation:
Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; Y-intercept = 6
What is the equation of the line?
y =
Answer:
y = -9x + 6
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slopeb = y-interceptTherefore, the equation is y = -9x + 6.
IF ONE THIRD OF THE SCHOOL STUDENTS LIKE MATHEMATICS AND 400 STUDENTS DO NOT LIKE MATHEMATICS , THEN HOW MANY STUDENTS DOES THE SCHOOL HAVE ?
A. 600 B. 800
C. 200 D. 1000
Answer:
There are 600 students in this school.
Step-by-step explanation:
Let p represent the total population of the school.
Then (1/3)p represents the number of students who like math. Subtracting this (1/3)p from p gives an expression representing those who do not like math:
p - (1/3)p = (2/3)p
400 students do not like math, so (2/3)p = 400.
Solve this for p by multiplying both sides by (3/2):
(3/2)(2/3)p = (3/2)(400), which simplifies to p = 600.
There are 600 students in this school.
