Answer:
R:{-1,14,26}
Step-by-step explanation:
The domain of a function is all the x-values of the function. The range of a function is all the y-values of the function. Therefore, we must plug in every x-value in the function to get our outputs to create our range:
Given: y=3x+14
When x=-5:
y=3(-5)+14
y=-15+14
y=-1 (this is the first point of the range)
When x=0:
y=3(0)+14
y=0+14
y=14 (this is the second point of the range)
When x=4:
y=3(4)+14
y=12+14
y=26 (this is the last point of the range)
Therefore, our range is R:{-1,14,26}
The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is
{ -1, 14, 26 }.
We have,
To find the range for the given domain of {-5, 0, 4} in the equation
y = 3x + 14, we substitute each value of the domain into the equation and determine the corresponding range values.
When x = -5:
y = 3(-5) + 14
y = -15 + 14
y = -1
When x = 0:
y = 3(0) + 14
y = 0 + 14
y = 14
When x = 4:
y = 3(4) + 14
y = 12 + 14
y = 26
Therefore,
The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is
{ -1, 14, 26 }.
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At a school, 60% of the sixth-grade students said that pizza is their favorite kind food. If 210 sixth-grade students prefer pizza, how many sixth-grade students are at the school?
Answer:
350
Step-by-step explanation:
Let [tex]s=[/tex] total number of sixth-grade students.
It is given that 60% of sixth-grade students prefer pizza which is equivalent to 210 sixth-grade students. With this, the following can be written:
[tex]60\%s = 210[/tex]
[tex]0.6s=210[/tex] ([tex]60\%[/tex] can be converted into the decimal form [tex]0.6[/tex])
[tex]s = 210\div 0.6[/tex]
[tex]=350[/tex]
∴ There is a total of 350 sixth-grade students in the school.
Hope this helps :)
Increase £120 by 25%
Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.
What is the sum of the factors?
–19
–13
13
16
Answer with no step-by-step explanation:
13
Choose the correct answer to 1,889/36.
42 R17
51 R53
52 R15
52 R17
Answer:
52 R17
Step-by-step explanation:
52 * 36 = 1872
1889 - 1872 = 17
--> 52 R17
Which of the following capital letters results in the same letter over again when reflected about a
horizontal line? (1 point)
Ο:Α
O:Y
O:S
O:D
Answer: D
Step-by-step explanation:
When D is reflected over a horizontal line (think of it as a mirror on the ground with D on top of it), the reflection will show the letter D in the same way all over again.
I have attached a picture to show it. It's a tad unclear but I believe gets the point across.
Don’t mind the question at the bottom but I need to know if this is right or not please help!
Answer:
the answer is d.
Answer:
no its not correct, the answer is d
Step-by-step explanation:
too long to explain, just trust me man
BRAINLY. what is the equation of the line in slope intercept form
Anyone? Pleasee help
Answer:
Angle 1 = 128
Angle 2 = 52
Angle 3 = 68
Angle 4 = 60
Angle 5 = 124
Step-by-step explanation:
Had to use supplementary theorem, vertical angles theorem, and that the angles of a triangle add up to 180.
I hope this helps!
For every 60 students there's 3 teachers so for every 15 teachers how many students would there be?
Answer:
300 students
Step-by-step explanation:
divide 60 by 3 to find how many students there are per teacher: 60/3 = 20
multiply 20 by 15 to find how many students there are for 15 teachers:
20 x 15 = 300
Four pounds of bananas cost $2.60
What the cost per pound?
Answer:
$0.65 per pound
Step-by-step explanation:
Divide the total cost by the number of pounds to find price per pound.
$2.60 ÷ 4 = $0.65 per pound
Add the following using horizontal method
i.)abc,-2abc,4abc
ii.)8xz,-2xz,-6xz
Answer:
i - 3abc
ii - 0
Step-by-step explanation:
i- abc,-2abc= -abc (think of it as 1-2)
-abc,+4abc=3abc (-1+4)
ii- 8xz,-2xz=6xz (8-2)
6xz,-6xz=0 (6-6)
What the other guy said :D
Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For every additional computer they sell during that month, the commission per computer is 1.5 times the rate for the first five. Which of the following is the total commission earned by a salesperson who sells 8 computers in a month?
A. $190
B. $800
C. $950
D. $1,050
E. $1,200
Answer:
The answer is C.
Step-by-step explanation:
Firstly, you have to find the new commission sales after first 5 computera are sold. In order to do so, you have to multiply it by 1.5 :
$100 × 1.5 = $150
Next, you have to find the total amount :
($100×5) + ($150×3)
= $500 + $450
= $950
if 1/2=-3/7q, then q= -1 1/6 true or false
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
[tex]\frac{1}{2}=\frac{-3}{7}q[/tex]
1/2*7/-3= -7/6
q = -7/6 NOT -11/6 so the statement is false
What is the slope of the linear relationship shown in this table of values? x y -4 11 2 -1 5 -7
Answer:
2
Step-by-step explanation:
-1-11/-4-2 = -12/-6 = 2
The required slope for the linear relationship is -2.
Slope to be determine for table x = -4 2 5, y = 1 -1 -7 showing linear relationship.
Slope of function is defined as the rate at which function is increasing.
Here, slope
[tex]=\frac{y_2-y_1}{x_2-x_1} \\=\frac{-1-11}{2+4}\\= -2[/tex]
Thus, the required slope for the linear relationship is -2.
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Determine and state an equation of the line perpendicular to the line 4x – 5y = 10 and passing through the point (-4, -2).
y-intercept. y = -3/2x
Answer:
i hope you find the answer but unfortunaatly im not sure
Step-by-step explanation: thankyou for the points though :)
What is the slope and y-intercept of 8x – 2y = -16?
Answer:
4x+8=y
Step-by-step explanation: This is because you take everything and isolate the y you take the 8x and subtract it from the other side then after that you divide everything by -2 to get your answer
If a 5 and b=4, then 2a +b=
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 2a+b when the value of a is 5 and b is 4 is equal to 14.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given the expression 2a+b, whose values are needed to be calculated when the value of a is 5 and the value of b is 4. Therefore, the value of the given expression 2a+b can be written as,
2a + b
Substitute the value of a and b,
= 2(5) + 4
= 10 + 4
= 14
Hence, the value of the expression 2a+b when the value of a is 5 and b is 4 is equal to 14.
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if X=14 and y=-6 and z=1 find the value
ii- ( x+3)(y-4)(z-9)
Answer:
14 +3 - 17
6-4 = 2
1 -9 = -8
Step-by-step explanation:
Answer:
14+3= 17
6-4= 2
1 -9= -8
Step-by-step explanation:
4,914÷7=
4
,
914
÷
7
=
Please help!!!! ASAP!!! Thank you!!!
Answer:
28
Step-by-step explanation:
There were 7 chairs in each row, now they add three more to each row so now there's 10 chairs per row. There were 56 chairs altogether previously but now they need 5 times more so 56 times 5 equals 280. so with ten chairs per row and 280 chairs in total: 280/10 = 28. You'll need 28 rows
1 point
1) Taylor and her family took a road trip. She explains that the equation y =
60x describes the proportional relationship between the number of miles,
y, her family traveled, to the number of hours, x, the trip took. Which
statement represents the same proportional relationship? *
Taylor's family traveled 50 miles in 1 hour.
Taylor's family traveled 120 miles in 2 hours.
Taylor's family traveled 180 miles in 4 hours.
Taylor's family traveled 200 miles in 5 hours.
Answer:
120 miles in 2 hours
Step-by-step explanation:
120 = 60(2)
Find the slope pls help !!!
A certain stock has grown continuously from 1980 to 2015. A $10,000 investment in the stock in 1980 would be worth $3,500,000 in 2015. Find the stock's average annual growth rate during this period. Round to the nearest percent.
If a certain stock has grown continuously from 1980 to 2015, for this period of time its average annual growth rate is 18%.
It is given that A certain stock has grown continuously from 1980 to 2015.
Stock's initial value in 1980 (I) = $10,000
Stock's final value in 2015 (F) = $3,500,000
time period t = 2015-1980 = 35 years.
Since, the stock has grown continuously, it should have grown compounded annually.
Stock's average annual growth rate (r) is calculated as:
[tex]\text{r} = {(\dfrac{F}{I})^{\frac{1}{t}}-1[/tex]
Substitute all the given values in the above formula:
[tex]\text{r} ={ (\dfrac{3500000}{10000})^{\frac{1}{35}}-1[/tex]
[tex]\text{r} = {(350})^{\frac{1}{35}}-1[/tex]
[tex]r = (350)^{0.02857142857}-1[/tex]
[tex]r=1.18219102629-1[/tex]
[tex]r=0.18219102629[/tex]
[tex]r=0.18[/tex]
[tex]r\approx 18\%[/tex]
Hence, stock's average annual growth rate during the period of 35 years is 18%.
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Work out value x 4x 5x angles
Answer:
x=20
Step-by-step explanation:
5x+4x=180
9x=180
/9 on both sides
x=20
The value of 4x and 5x is 80° and 100° respectively .
What is the same-side interior angle theorem?The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees.
According to the question
4x , 5x are angles given
As,
They are angles between parallel line and same side of transversal line
according to same-side interior angle theorem that are formed are supplementary .
i.e there sum = 180°
4x + 5x= 180°
9x = 180°
x = 180°/9
x = 20°
So,
4x = 20 * 4 = 80°
5x = 20 * 5 = 100°
Hence, The value of 4x and 5x is 80° and 100° respectively .
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What is the slope of the linear function shown in the table below:
Answer:
It's 2
Step-by-step explanation:
Positive 2.
(not -1/2)
what is a tanslation in math
Answer:
A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction
Step-by-step explanation:
A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. How much time does it take to sort the books from start to finish?
Answer:
6 days
Step-by-step explanation:
hope this helps
A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. Then 6 days time does it take to sort the books from start to finish
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The librarian sorted at a constant rate, then they sorted the same amount of books all 4 days.
450-150=300
If they still have 150 books left to sort, then they sorted 300 books over 4 days.
300/4=75
This means that they sorted 75 books per day.
150 divided by 75 is 2
So it will take 2 more days to finish sorting all the books.
So altogether, it will take 6 days to sort all of the books.
Hence 6 days time does it take to sort the books from start to finish
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(x^2) +16x+86 = (x+A)^2 +B
How do I solve for A and B
Answer:
Step-by-step explanation:
If the question is:
x^2 + 16 + 86 = (x+A)^2 + B
Then the answer is , A= +/- 4 and B=86
CAN ANYONE DO IT, IT IS EASY
Answer: 31
Step-by-step explanation:
180-20-35 = 125 (bottom triangle)
180 - 156 = 24
125 + 24 = 149
180-149 = your answer