Answer:The difference between x and y is 1. In other words, x minus y equals 1 and can be written as equation B: · x - y = 1. Now solve equation B for x
Step-by-step explanation:
Consider the line y = x+8.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer: parallel is 1 and perpendicular is -1
Step-by-step explanation:
parallel lines have the same slope and perpendicular have the opposite and negative of the slope.
Find g[f(-2)], if f(x) = x^2 and g(x) = 3x – 5.
A. -17
B. -7
C. 7
D. -44
Answer:
g[f(-2)] = 7
Step-by-step explanation:
f(x) = x^2
g(x) = 3x – 5
g[f(-2)]
First find f(-2) = (-2)^2 = 4
Then find g(4) = 3(3) -5 = 12-5 = 7
[tex]f(x)=x^2;g(x)=3x-5\\\\g[f(-2)]=3\times (f(-2))^2-5=3\times(-2)^2-5=3\times4-5=7[/tex]
Answer: c
hope it helps
(01.03. 106, 1.08 HC)
for X 31
3*+1-2
A piecewise function f(x) is defined by f(x) = { –X? + x + 2
x2 – 3x+2
for x>1
x>
Part A Graph the piecewise function () and determine the range (5 points)
Part B. Determine the asymptotes of f(x). Show all necessary calculations. (5 points)
Part C. Describe the end behavior of f(x). (5 points)
Answer:
A) see attached for a graph. Range: (-∞, 7]
B) asymptotes: x = 1, y = -2, y = -1
C) (x → -∞, y → -2), (x → ∞, y → -1)
Step-by-step explanation:
Part AA graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:
[tex]\dfrac{-x^2+x+2}{x^2-3x+2}=-\dfrac{(x-2)(x+1)}{(x-2)(x-1)}=-\dfrac{x+1}{x-1}\quad x\ne 2[/tex]
This has a vertical asymptote at x=1, and a hole at x=2.
The function for x ≤ 1 is an ordinary exponential function, shifted left 1 unit and down 2 units. Its maximum value of 3^-2 = 7 is found at x=1.
The graph is attached.
The range of the function is (-∞, 7].
__
Part BAs we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.
The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.
__
Part CThe end behavior is defined by the horizontal asymptotes:
for x → -∞, y → -2
for x → ∞, y → -1
what is the maximum of P= x +6y
P= 9
Step-by-step explanation:
y = (10 - 2x) / 4
y = (12 - x) / 9
Find Boundary Points:
(0,0)
(3,1)
(0,4/3)
(5,0)
Plug them into equation (DO NOT NEED (0,0) DO NOT USE):
P = 3 + 6(1) = 9
P = 0 + 6(4/3) = 8
P = 5 + 6(0) = 5
MAX VALUE: P = 9
Evaluate:
64.2 divid –7.5
A. –11.68
B. –8.56
C. 8.56
D. 11.68
Your Answer Should Be.... B
Answer:
B
Step-by-step explanation:
-8.56 = 64.2 divided 7.5
A shop sells party hats and masks. On a particular morning, 10 hats and 20 masks were sold for $30. In the afternoon, 8 hats and 10 masks were sold for $18. Find the cost of each hat and each mask.
Answer:
Both the hat and mask cost $1Step-by-step explanation:
Let the cost of each hat is x and each mask is y.
According to the question, set the equations:
10x + 20y = 308x + 10y = 18Double the second equation and subtract the first one:
8x*2 + 10y*2 - 10x - 20y = 18*2 - 3016x - 10x = 36 - 306x = 6x = 1Find the value of y:
10*1 + 20y = 3020y = 30 - 1020y = 20y = 1Equations are
10h+20m=30=>h+2m=3--(1)8h+10y=18=>4h+5m=9--(2)Eq(1)×4
[tex]\\ \tt\hookrightarrow 4h+8m=12\dots(3)[/tex]
Subtract (3) and (2)
[tex]\\ \tt\hookrightarrow 3m=3[/tex]
[tex]\\ \tt\hookrightarrow m=1[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow h+2=3[/tex]
[tex]\\ \tt\hookrightarrow h=1[/tex]
13) A cell phone plan cost $200 to start. Then there is a $50 charge each month. What is the total cost for x months? (Hint: Write the expression needing to find the total cost)
Answer:
50x + 200
Step-by-step explanation:
50 dollars each month (for x months) is 50x, and the initial cost is 200 (flat fee) which means that the expression is 50x+200
Answer:
50x+200
Step-by-step explanation:
Our constant term is the 200, because it's the upfront charge. Our coefficient is going to be 50, because 50 dollars are being charged each month.
The fixed price of a taxi journey costs $11.50 plus $5 per traveled kilometer. How much will you pay for a journey of 20 kilometers?
She will pay for a journey of 20 kilometers.
We have given that,
The fixed price of a taxi journey costs $11.50 plus $5 per traveled kilometer.
We have to determine How much will you pay for a journey of 20 kilometers.
We have $11.5 fixed.
We have to determine for 20km we have to pay.
What is the equation for 20km traveled?20k * $5 = $100
$100 + 11.5 = 111.5
Therefore she will pay for a journey of 20 kilometers.
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find the area of (ABCD) GIVEN: A(2,1) B(4,1) C(-4,1) D(-1,-3)
Answer:
16
Step-by-step explanation:
A computer is on sale for $600. This is 75% of its original price. What was the original price of the computer?
Answer:
800
Step-by-step explanation:
Rae wants to poll the students in her school to find out their favorite subject.
The school has 600 students.
Choose the statement below that describes the best way for Rae to survey the students in her school without asking all 600 of them.
Answer: It is B
Rae will ask 75 randomb students in her school
Step-by-step explanation:
honestly I just guessed, and got it right
Grace takes out a loan of $9,573.00 at a 4% simple rate for 4 years. a) How much interest will be paid after 2 years? b) How much total interest will be paid for this loan?
The interest to be paid after 2 years is $765.84
The total interest to be paid after 4 years is $1531.68
What is the simple interest?Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued.
Simple interest = principal x time x interest rate
$9573 x 2 x 0,04 =$765.84
$9573 x 4 x 0,04 = $1531.68
To learn more about interest, please check: https://brainly.com/question/26164549
Evaluate:10-(6-4)^2divided by 2HURRY PLEASE!
Answer:
8
Step-by-step explanation:
10 - (2)
8 x 2? = 16
16 / 2 = 8
srry if its the answer u did not want ;-;
HELP HELP HELP PLS PLS IM CONFUSED
Answer:
y=19 z=19
Step-by-step explanation:
45 45 90 triangles are this: sides=hyp/sqrt(2)
mathXL lol
Twelve new students are standing in a line. How many different ways can the first seven students in line order themselves
Answer:
Step-by-step explanation:
hope this helps!
There are 5,040 different ways that the first seven students in line can be ordered.
What is an arrangement?An arrangement is a permutation of a set of objects in mathematics where the order of the things is important. An arrangement is specifically an orderly succession of unique elements drawn from a set.
Consider the set "A, B, C," for instance. This set can be arranged in six different ways: ABC, ACB, BAC, BCA, CAB, and CBA. The three components of the set are stated in a precise order in each of these configurations.
The number of ways that 7 students can be arranged in a line is 7! (7 factorial) which is equal to:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040
Therefore, there are 5,040 different ways that the first seven students in line can be ordered.
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Solve for x in the equation 3x2 - 18x+5=47.
Answer:
[tex]x=3\pm\sqrt{23}[/tex]
Step-by-step explanation:
Complete the Square
[tex]3x^2-18x+5=47\\\\3x^2-18x-42=0\\\\x^2-6x-14=0\\\\x^2-6x-14+23=0+23\\\\x^2-6x+9=23\\\\(x-3)^2=23\\\\x-3=\pm\sqrt{23}\\\\x=3\pm\sqrt{23}[/tex]
show through prime factorising that 899 is not a prime number
Can you help me please?
Answer:
3 3/5
Step-by-step explanation:
12/5 × 9/6
2/5 × 9
18/5
= 3 3/5
Pls help me I’ll give 20 points
Answer:
26 degrees
Step-by-step explanation:
Triangle A:
So the triangle is 24 degrees and it is an isosceles triangle so the other 2 angles are equal. All the angles in a triangle add up to 180 degrees.
180-24=156 degrees
156 divided by 2 because of the 2 angles = 78 degrees
The angles in Triangle A are 78 degrees which means one corner of the Triangle X is 78 degrees as it is vertically opposite.
Triangle B:
B= 49 degrees and the triangle is isosceles as well. 49 x 2 for the other angle which would be the same is 98 degrees. We would then do
180 -98 = 82 degrees
This means the other angle in Triangle X is 82 degrees
Triangle X:
72 degrees is the top left angle and 82 degrees is the top right angle so you do 72+82= 154 degrees
180-154= 26 degrees
Hope this helps
please help!!!!! :( i have 22 questions left :(.
(19 if yall answer these 3)
Answer:
Step-by-step explanation:
1)
there are 16 coins total.
10/16 chance to choose a dime
1/15 chance to choose a penny
1/24 answer is D
2)12/36*78
26 B
3) around 4/32 of buttons are orange.
multiply by 64
8 answer is B
36. A refrigerator was sold for GH¢200.00 at
a loss of 10 %. Find the cost price.
well, the original price was "x", which is of course the 100%, the new price is 10% less than that, or namely 90% of that original and we know is 200 bucks.
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 200&90 \end{array}\implies \cfrac{x}{200}=\cfrac{100}{90}\implies \cfrac{x}{200}=\cfrac{10}{9} \\\\\\ 9x=2000\implies x=\cfrac{2000}{9}\implies x=222.\overline{2}[/tex]
Please answer this right and if you do I’ll give brainly
Answer :
92
92 bc you’d get 92.16 but round down
Help please! its worth 100 points! Please no links or files
Answer:
8
Step-by-step explanation:
so basically we do
2³ = 8
2x2=4 4x2=8
Examine this graph representing US unemployment rates. Which of these years might economists consider a trough? 1980 1982 1983 1985.
Graphs can represent a function, table and ordered pairs
The year that economists might consider a trough is 1982
How to determine the trough yearFrom the graph, we have the following parameters:
1980 = 7%1981 = 9%,1982 = 11%1983 = 8%1984 = 7%2985 = 7%In this case, the year that can be considered a trough is the year when the rate of unemployment is at highest (i.e. 11% in 1982)
Hence, the year that economists might consider a trough is 1982
Read more about troughs at:
https://brainly.com/question/13597823
Answer:
1982
Step-by-step explanation:
edge
Allen’s phone company charges him $20 a month and $5 per gig of data used. His bill last month was $55. Write an equation to represent this relationship.
Answer:
x (constant) = 20 ((month)) y (variable) = 5 ((gig of data))
Step-by-step explanation:
20x+5y=55 (7 gigs)
question is in the attachment!
(sorry if it's really blurry, I was kinda in a rush!)
Answer:
5pt=2cups
1qt.=2pt
Step-by-step explanation:
I hope that's right
Right answer gets BRAINYESST
Answer:
check all below
Step-by-step explanation:
#1
1/6)^3
1/26 so answer 1 on number one
#2 what the heck is this 65+75= 140 not 120
65/120 = 54.16666% * 12600 = 6825 so 3
or 65/140 = 46.428% * 12600 = 5850
#3 number 4 makes the most since sense you get the WHOLE POPULATION
#4 1/5*1/2 or 1/10 = .10 * 100% = 10% or 3
#5
6+2+8+4 = 20
2 red marbles
2/20 = 1/10 = .10 * 100% = 10% or 2
Find the total ares of the entire firgure. *
Answer:
Area of entire fig=Area of rectangle+Area of trianglelet the length be x and breadth be y and h be the height of the triangle
therefore ,
breadth=base
[tex]x \times y + \frac{1}{2} x \times h[/tex]
ad the values to find the answer
tip:the answer is[tex] {864in}^{2} [/tex]
Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $9,100. How many more T-shirts, x, does Carlene need to sell to reach her goal?
Answer:
the answer would be 400.
Step-by-step explanation:
9,100 - 900 = 8,200
she would need to raise 8,200 more. to know many shirts tho, we need to divide by the cost
8,200 divided by 20.50 is 400.
400 shirts.
If I'm wrong, let me know, please.
Answer:
x=400
Step-by-step explanation:
Already sold: 900/20.50=43
Needs to sell altogether:443
Needs to sell minus already sold: 443-43=400
She needs to sell 400 more shirts.
Solve. (15 points!! or 20, if you find that more reasonable. ;P )
Answer:
slopes are correct for both the lines, but not the y-intercepts.
Step-by-step explanation:
slopes are correct for both the lines, but not the y-intercepts
The [tex]-x+2y=1[/tex] line has been correctly drawn.
The [tex]-2x - 3y=-12[/tex] has the correct slope but the wrong y-intercept. The y-intercept should be 4