the complete question in the attached figure
statements
case A) f(15)=8-----> is correct
for x=15
f(x)=8
case B) the domain of f(x) is the set {5,6,7,8,10,11,12,13}--> is not correct
because the domain of f(x) is the set {0,5,10,15,20,25,30,35,40}
case C) f(5)=6-----> is correct
for x=5
f(x)=6
case D) the range for f(x) is all real numbers----> is not correct
because
the range of f(x) is the set {5,6,7,8,9,10,11,12,13}
the answer is
A and C
the equation of line L1 is y=2x+5
the equation of the line L2 is 2y-4x=6
show that these 2 lines are parallel.
Step-by-step explanation:
They have the same gradients
Factorise
2х^2 — 3x— 14
Answer:
(x + 2)(2x - 7)
Step-by-step explanation:
Given
2x² - 3x - 14
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 14 = - 28 and sum = - 3
The factors are - 7 and + 4
Use these factors to split the x- term
2x² + 4x - 7x - 14 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 7(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 7)
Thus
2x² - 3x - 14 = (x + 2)(2x - 7) ← in factored form
Luci cuts a board that is
5
7
yard long into pieces that are
5
14
yard long. How many pieces does she cut?
Answer:
I think the answer should be two and a half pieces
Write an equation of the line that passes through the given points in any form.
Answer:
[tex]y=\frac{2}{3} x+1[/tex]
Step-by-step explanation:
The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is 2 (since it increased by 2) and the run (difference between the two x values) is 3 (since it increased by 3).
This gives us a slope of [tex]\frac{2}{3}[/tex].
The +1 is found by looking at the y intercept. The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 1.
The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!
If (x^2 – 4) ÷ (x + 2) = x -2, which polynomial should fill in the blank below?
(x + 2) × ____= x^2 - 4
O x² – 4
O x-2
O x +2
O x² – 2
Answer:
x - 2
Step-by-step explanation:
(x + 2)(x - 2) = x^2 - 4
What is the slope of this line?
Answer:
[tex]m=\frac{2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, -1)
Point (4, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3+1}{4+2}[/tex]Add: [tex]m=\frac{4}{6}[/tex]Simplify: [tex]m=\frac{2}{3}[/tex]1/5 part of pole is inside the mud, 2/3 part is inside the water and the remaining length of 10m is above the surface of the water. Find the length of the pole.
Answer:
75 m
Step-by-step explanation:
Let the length of the pole to be : x m
1/5 of x is inside the mud, this will be : 1/5 x
2/3 of x in inside water , this will be : 2/3 x
10 m remaining is above the water surface. Finding the fraction that remains will follow;
x - {1/5 x + 2/3x } = 10
x-13/15 x =10
2/15 x = 10
x= 75 m
Are the statements about the graph of function f true or false?
Answer:
Step-by-step explanation:
1). For a point (0, -15),
Here x = 0, so the piece of function that applies,
f(x) = 4x - 15 (Since, x = 0 lies in the range -2 ≤ x < 4)
= 4(0) - 15
= -15
True.
2). Since, f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex] for x < -2
= 4x - 15 for -2 ≤ x < 4
Which shows a gap between these graphs.
Therefore, graph has a discontinuity at x = -2
True.
3). For x > 4,
f(x) = [tex]3^{x-4}[/tex]
For every input value of x in the interval (4, ∞), output values of the function will be increasing.
So this option is TRUE.
4). In the interval (-12, -2),
Function to be followed → f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex]
Graph of the given quadratic function opens downwards (Since, coefficient of x² is negative).
In this graph value of function first increases then decreases.
So the answer is FALSE.
5). Since, input values of the function 'f' varies from (-∞, ∞)
Therefore, domain of the function will be (-∞, ∞)
TRUE.
Answer:
-True
-True
-True
-False
-False
Step-by-step explanation:
Just took the test and got the same question, i answered the same as the guy above and it is wrong, this is the correct answer.
Make sure your questions are listed in the same order before submitting your answer.
evaluate 8+t to the power of 3 when t equals 2
Answer:
It's 994
Step-by-step explanation:
Denis orders a large pizza for $16.50 plus $2 for each topping. Sheng orders a medium pizza for $13.25 plus $2 for each topping.
Their bills will never be the same because the toppings cost the same.
Question must probably wants to know the number of toppings it would take for their bills to be equal.
Assume the number of toppings is x, Dennis's bill will be:
= Cost of Pizza + Cost of toppings x number of toppings
= 16.50 + 2x
Sheng's bill will be:
= 13.25 + 2x
Equate their bills to find the number of toppings that would equate their costs:
16.50 + 2x = 13.25 + 2x
16.50 - 13.25 ≠ 2x - 2x
3.25 ≠ 0
In conclusion, their bill will never be the same because the toppings are the same price.
Find out more at https://brainly.com/question/5607279.
PLEASE HELP 15 POINTS N BRAINLIEST
Answer:
OK don't worry we will help you get 15 points
For f(x) = −3x − 13, find f(x) when x = –1.
Answer:
f(-1) = -10Step-by-step explanation:
Given
f(x) = −3x − 13,To find f(x) when x = –1 substitute x with its value in the equation:
f(-1) = (-3)(-1) - 13 = 3 - 13 = -10f(-1) = -10PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
5 and 6 Your Answer is (5,8)
Hope It Helped :)
The typical value of homes in Sparta is $139,594. If a home appreciates at 2.1% each year, what will the value be 7 years from now?
Answer:
161453.307585
Step-by-step explanation:
139,594(1 + 0.021)^7
139,594(1.021)^7
139,594 x 1.1565920282
161453.307585
Ms. Yost has 20 boxes of markers. Next year, she plans to buy 420% more boxes. How many boxes will she have in all?
Answer:
Ms. Yost will have exactly 104 boxes of markers.
Step-by-step explanation:
We are given an initial value (20 markers) and an increase of that amount (420%). We can convert the percentage to a decimal and then multiply this by the initial value of markers.
We divide the percentage by 100 in order to find the decimal form of it. If we wanted to find the percentage form of a decimal, we would multiply that value by 100 instead of dividing by 100.
[tex]\frac{420\%}{100}=4.20\\\\20 \times 4.20 = \bold{84 \ boxes \ of \ markers}[/tex]
Therefore, Ms. Yost will have 84 boxes of markers in total after increasing her original 20 boxes by 420%.
Finally, because she increased her total by 84 boxes, we need to add the initial amount as well.
[tex]20 + 84 = 104[/tex]
As a final result, Ms. Yost will have exactly 104 boxes of markers.
Answer: She will have 104 boxes in all.
Step-by-step explanation:
To find how many boxes she will have in all, first multiply 420% by 20 then add the obtained number to 20 which is the current boxes of markers that she has.
420% * 20
4.2 * 20 = 84
84 + 20 = 104
You can buy 1 bunch of grapes for $2. How many can you buy with $18?
Answer:
9
Step-by-step explanation:
True or false Every relation that is linear, must be a function?
Answer: False
Step-by-step explanation: Let's review the idea of graphs.
For a graph to be linear, it must be a straight line.
To determine whether a given graph is a function,
we use the vertical line test.
The vertical line test tells us that if a vertical line is drawn on a graph,
and hits the graph in more than one place, the graph is not a function.
In fact, this definition tells us the only type of linear graph
that will fail the vertical line test, and that's a vertical line.
Any vertical line that we draw will be both linear and not a function.
One possible graph could be x = 2.
Any vertical line will fit this description.
Help meee ASAP!!!! Pls
Answer:
2/5
Step-by-step explanation:
I found two point and counted the Y change and the X change. Rise over run.
Answer:
4/10 is the slope and the y intercept is 3
Step-by-step explanation:
One vertex of a triangle is located at (0,5) on a
coordinate grid. After a rotation, the vertex is
located at (5,0).
Which rotation could have taken place?
A rotation of 90° clockwise about the origin
B rotation of 180° clockwise about the origin
C rotation of 90° counterclockwise about the origin
D rotation of 180° counterclockwise about the origin
Ο Α
OB
Ос
OD
Answer:
A
Step-by-step explanation:
90 degrees clockwise
The measures of the angles of a triangle are shown in the figure below. Solve for X
Answer:
34Step-by-step explanation:
Sum interior of triangles add up to 180 degrees. So add 103 + 43 to get 146 then subtract 180 - 146 to get 34 as the last missing angle of the triangle
Answer:
34
Step-by-step explanation:
103+43=146
a triangle always adds up to 180 degrees
180-146=34
so that's the workings hope the answers right
help me plz asap now I just need answer question in pic
I was just about to ask this question
Step-by-step explanation:
Im on this question rn, i need help to :(
Answer: just guess :)
Step-by-step explanation:
Evaluate the expression 2p - (p + 3) + 3 for p = 6.
Answer:
12 - (6 + 3) + 3=6
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
6+3=9 2X6=12 12-9=3
Andrew had a collection of 300 baseball cards at the beginning of the summer.
After the summer, Andrew had traded some of his baseball cards and now he has only 213 baseball cards.
What is the percent decrease of his baseball card collection?
Answer:
29%
Step-by-step explanation:
213/300 x 100 = 71%
100 - 71 = 29%
Solve for x. x + 47 = -23
x+47=-23
move +47 to the other side to get x by itself
sign changes from +47 to -47
x+47-47=-23-47
x=-23-47
x=-70
answer: x=-70
Answer:
-70
Step-by-step explanation:
x = -23 - 47
x = -70
-70 + 47 = -23
PLEASE HURRY !!!! WILL MARK BRAINLIEST !!!!
In the triangular prism shown below, which planes intersect? Select all that apply.
FGI and HIJ
EGH and HIJ
HIJ and EFG
EGH and EFG
Answer:
FGI and HIJ,EGH and HIJ, and EGH and EFG
Step-by-step explanation:
To answer this, you must find if the planes share a common side
just go down the list and you will see that all of them except HIJ and EFG share a common side so they intersect
A basket has 15 pieces of fruit. Of these, 5 are apples, 2 are oranges and the rest are
pears. If you close your eyes and take one piece of fruit, what is the probability it will
be an orange or a pear?
Answer:
60%
Step-by-step explanation:
the awnser is right
Answer:
pear
Step-by-step explanation:
cuz ratio is 8:5:2
your welcome
How do I solve this and check all the solutions?
Answer:
it is -6
Step-by-step explanation:
PPPPPPLLLLLLLLLLLLZZZZZZZZZZZZ
It's easy!!!
Answer:
The answer is A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
I had this question
The bottom one Staples has 9 cases of crayons with 1452 boxes in each case
Office Depot has 6 cases of crayons with 504 boxes in each cate
How many total boxes of crayons do both stores hove?
Answer:
d. 16,092
Step-by-step explanation:
Staples: 1452 x 9 = 13,068
Office Depot: 504 x 6 = 3,024
13,068 + 3,024 = 16,092
P is a odd number
Explain why p^2+1 is always even
Answer/Step-by-step explanation:
Whenever a negative number is squared it is equal to the expression -a x -a = +a. In this expression any negative number multiplied an even amount of time with all numbers being negative will be a positive product.
Answer:
P^2+1 even because
Step-by-step explanation:
P is an odd number
Any odd number squared is odd
Therefore,P^2+1 is odd
Any odd number= because odd odd =even
Be=P^2+1 is odd odd =even
... P^2+1 = even