Answer:
Step-by-step explanation:
They have different y intercepts.
They have the same slope.
Here are 2 examples
y = 3x + 5
y = 3x + 19
The slopes are both three. The y intercepts are 5 for the top equation and 19 for the bottom equation.
They are both lines. That means their domain is -infinity <x < + infinity
Their range is - infinity <y < + infinity.
We are excluding examples like x = 3 and x = 5 and y = 1 and y = 3.
It is true that they both are parallel in both cases, but the discussion for each pair is a little different.
A machinist must cut 17 strips of metal that are each 2 ft 6 2/8 in long. What is the total length of metal needed in inches? Write as a proper or mixed fraction.
Answer:
Step-by-step explanation:
2/8 inch = ¼ inch
1 ft = 12 inch
17(2(12) + 6¼) = 514¼ inches
provided a shear with zero kerf is used.
Which 2 colours are the ones for this?
Answer:
Step-by-step explanation:
red and green
you know this because the red line has an X intercept at 1.5,0 which can be seen on the graph, as well as a Y intercept of 0,-3 which means that 2x-3 is represented by the red line
the green line passes through 0.8, 0 for its x intercept and 4,0 for its y intercept which is also seen on the graph by the green line.
to prove this, set each equation equal to zero and solve-
so 2x-3=0
2x=3
x=1.5
4-5x=0
-5x=-4
x=0.8
also the whole number in each equation (-3 and the 4) are y intercepts since when x is zero they are themselves
A self-storage center has many storage rooms that are 6 ft wide, 10 feet deep, and 12 ft high. What is the volume of the room?
The volume of the storage room is the amount of space in the storage room, and it is 720 cubic feet
The dimensions are given as:
[tex]Width = 6ft[/tex]
[tex]Depth = 10ft[/tex]
[tex]Height = 12ft[/tex]
The volume of the storage room is the product of the dimensions.
So, we have:
[tex]Volume= Width \times Depth \times Height[/tex]
Substitute values for Width, Depth and Height
[tex]Volume= 6ft \times 10ft \times 12ft[/tex]
Multiply the dimensions
[tex]Volume= 720ft^3[/tex]
Hence, the volume of the storage room is 720 cubic feet
Read more about volumes at:
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Find the x- and y-intercepts of the graph of -10x+4y=20. State each answer as an integer or an improper fraction in simplest form.
Answer:
x intercept - (-2,0)
y intercept (0,5)
Step-by-step explanation:
I hope this helps!
Which equation could possibly represent the graphed function?
OA. f(x) = (x-4)(x + 2)(x + 4)
OB. f(x) = (x-4)^2(x - 2)
OC. f(x) = (x+4)^2(x+2)
OC. f(x) = (x-4)(x-2)(x+4)
Answer:
A
Step-by-step explanation:
You're looking for x-intercepts
From the graph you know that the x-intercepts are as follows:
x = -4, x = -2, x = 4
And this is when y or f(x) = 0
so you can rewrite each x-intercept as an equation
0 = x + 4
0 = x + 2
0 = x - 4
Now you know each of the terms
f(x) = (x-4)(x+2)(x+4)
Answer:
A choice.
Step-by-step explanation:
If you notice, you see the graph having x-intercepts which are x = 4, -2 and -4.
Because the graph passes through x = 4, -2 and -4, we have to find the function that satisfy x-values when f(x) = 0.
Finding x-intercepts, let f(x) = 0.
A choice
f(x) = (x-4)(x+2)(x+4)
Let f(x) = 0 to find x-intercepts.
0 = (x-4)(x+2)(x+4)
Then solve the equation like linear.
Hence, x = 4,-2,-4
Since the x-intercepts are (4,0),(-4,0) and (-2,0), it satisfies the graph and therefore A is correct.
If one length of a board is 1 1/3 feet long, how many lengths of board is needed to cover 12 feet?
Answer:
9
Step-by-step explanation:
12÷1 [tex]\frac{1}{3}[/tex]=9
Emma runs 12 miles in 5 hours. How many miles can Emma run per hour?
Answer:
2.4 miles per hour
Explanation:
Since you ran 12 miles in 5 hours, you have to divide 12 by 5 to get the total amount of miles for 1 hour.
What is the answer for 6 7/16 - 4 1/2?
Answer:
1.9375
Step-by-step explanation:
used a clacalator
Answer:
31/16 or 1.9375 or 1 and 15/16
Step-by-step explanation:
A salesperson will earn a commission equal to 1/12 of the total sales. What is the commission earned on sales totaling $43,000?
Answer: $3583.33
Step by Step Explanation:
43,000 * 1/12 = 43,000/12 = $3583.33
Question: What is 32^2?
Answer: The answer is 1,024.
Explanation: 32^2 is 32 x 32, which is 1,024.
The width of a rectangle is represented by 5 1 2y.
The length is twice as long as the width. What is the
perimeter of the rectangle?
Answer:
33y
Step-by-step explanation:
since the equation of perimeter for a rectangle is lengthX2 + widthX2
and the width is given to be 5 1/2y is it? If it is so then the length will be 11y since 2X5 1/2y is 11y
and the perimeter will then be calculated as so;
11yX2 + 5 1/2yX2
so it will be 22y+11y which will give you 33y
What is the sum of the 1st square number and the 4th cube
. Number
Answer: there is nothing here with the info i need 2 anwser this question srry.
Step-by-step explanation:
Answer:
i think it is 65
Step-by-step explanation:
the 4th cube number is 64 and the first square number is 1 64+1=65
however if you use the first square number as 4 then it is 68
f (x) = 6x + 4. Find the inverse of f(x).
O A. f-1 (2) = 4 - 6x
O B. f-1(x) = 6x - 4
O c. f-(x) =
O D. f-'(x) = 20
2-4
-6
If [tex]f^{-1}(x)[/tex] is the inverse of f(x), then
[tex]f\left(f^{-1}(x)\right) = x[/tex]
By definition of f(x), we have
[tex]f\left(f^{-1}(x)right) = 6f^{-1}(x) + 4 = x[/tex]
Solve for the inverse :
[tex]6f^{-1}(x) + 4 = x[/tex]
[tex]6f^{-1}(x) = x - 4[/tex]
[tex]f^{-1}(x) = \dfrac{x-4}6[/tex]
which makes C the correct choice.
In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. To the nearest 100 people, what was the population in 2020? help im about to die
Answer:
242, 900 people
Step-by-step explanation:
To begin, it says that the population grew by 5%.
(241000)(1.00 + 0.05) = population of the city in 2015
(241000)(1.05) = 253050
253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.
(253050)(1.00 - 0.04) = population of the city in 2020
(253050)(0.96) = 242928
242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.
Therefore, the answer would be 242, 900 people.
A car weighs 3.6 tons. Find its weight in pounds.
An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for
every 36 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 108 students?
PLSS
bru how i do these 2 ?
How to test a function graphically
Answer:
Step-by-step explanation:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
that is known as the vertical line test
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does no represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
Step-by-step explanation:
Simply:
3 (2x - 2) -2 (x - 2)
A: 3x -3
B: 3x -4
C: 4x -2
D: 4x -4
Answer:
4x-2
Step-by-step explanation:
6x-6-2x+4
=4x-2
Help as soon as possible
Pls help I’ll brainlest I’m failing
Step-by-step explanation:
why ? you have started it correctly already, as I can see by the margins you made on the graph.
you analyzed the problem correctly, approached the solution correctly and gathered all necessary data.
so, I am not sure, what your problem is.
if you don't know what a slope is, then I don't understand why you did what you did so far.
the slope is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
for these 2 points you marked, you also showed that
x changes by +2 (from 2 to 4).
y changes by +6 (from -4 to 2).
so, the slope is +6/+2 = 3.
that's it. that is all to it.
How do you do it i am very confused/ i just need the answer lol
Answer:
No question!
Step-by-step explanation:
Hi! Could you please insert a question so I could answer for you?
I would love to help!
A number decreased by five is six less than twice the number. Find the number. Show work.
Answer:
The number is 1
Step-by-step explanation:
let the number be n
n-5=2n-6
n-2n=-6+5
-n=-1
n=1
I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height
Answer:
18 square units
Step-by-step explanation:
When one side is vertical or horizontal, it is convenient to find the height from the opposite vertex to that side. It is generally an integer number of grid squares.
Here, the height is 4 -(-2) = 6. The base length is 1 -(-5) = 6. That means the area is ...
A = 1/2bh
A = 1/2(6)(6) = 18 . . . . square units
_____
Alternate solution
If you want to go at this the hard way, you can find the length of LK and the distance of J to that line.
The length of LK is ...
d = √((x2 -x1)^2 +(y2 -y1)^2) = √((4 -(-2))^2 +(3 -(-5))^2) = √(36 +64) = 10
The distance to line LK can be found by writing the equation of the line LK in general form:
4x -3y -7 = 0
Then the distance formula for point (x, y) is ...
d = |4x -3y -7|/√(4^2 +3^2)
d = |4(-2) -3(1) -7|/5 = |-8 -3 -7|/5 = 3.6
Using the area formula with these dimensions gives ...
A = 1/2bh = 1/2(10)(3.6) = 18 . . . . square units
Answer:
18 square units
Step-by-step explanation:
pls pls pls mark me as brainliest
Circle A has a circumference of 9 cm. Circle B has a radius of 5 cm.
Which circle has the larger circumference?
About how many centimeters larger is it?
Answer:
B has a bigger circumference.
It is larger by 69.5 cm
Step-by-step explanation:
B: 3.14×5²=78.5
A: 9
p(x)=x-3
g(x) = 2x-5
Find the following.
(p ° q)(5)= and (q ° p)(5)=
Answer:
(p∘q)(5) = 2
(q∘p)(5) = -1
Step-by-step explanation:
The composition of functions can be written a little differently, perhaps making it easier to understand.
(p∘q)(x) = p(q(x))
(p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3
(p∘q)(5) = 2
__
(q∘p)(5) = q(p(5)) = q(2) = 2·2 -5
(q∘p)(5) = -1
Please help! I need help with this question.
Answer:
check online for more information
Solve each absolute value equation
1. [n - 3]= 5
Answer:
n=8
n=-2
Step-by-step explanation:
or,n-3=5
or,n=5+3
or,n=8
Now consider,
or,n-3=-5
or,n=3-5
or,n=-2
The area of a circle is 2
square meters. Determine
the radius.
[tex]\text{Area of circle} = \pi r^2\\\\\implies 2 = \pi r^2\\\\\implies r^2 = \dfrac 2{\pi}\\\\\\\implies r = \sqrt{ \dfrac 2{\pi}} = 0.798~ \text{m.}[/tex]
Answer:
r≈.8m
Step-by-step explanation:
Formula used
A=πr2
r=√a/π =√2/π ≈.79788
rounded it is .8m
If x = (1/2)(16 - 8y), then x =
Answer:
x = 8 - 4y
Step-by-step explanation:
16/2 = 8
8y/2 = 4y
The value of x of the expression is x = 8 - 4y.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x = (1/2)(16 - 8y)
Removing the parenthesis.
x = 16/2 - 8y/2
x = 8 - 4y
Thus,
The value of x is 8 - 4y.
Learn more about expressions here:
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