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2.
Which equation is represented by the graph?
A. y = 2x2 − 4x + 1
B. y = -1/2x^2 - 2x - 1
C. y = 1/2x^2 + 2x + 1
D. y = −2x2 + 4x + 1
Answer:
B. y = -1/2x^2 - 2x - 1
Step-by-step explanation:
If you look at the graph very carefully you will be able to tell the answer is Letter B.
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: ( − 2 , 1 )
Focus: ( − 2 , 1 /2 )
Axis of Symmetry: x = − 2
Directrix: y = 3 /2
x y
− 4 − 1
− 3 1
2 − 2
1 − 1
1 2
0 − 1
Natalia is joining an online music service that charges a monthly membership fee of $5.95. A tax of 9% is applied to the monthly membership fee, and an additional one-time initiation fee of $15 is charged at the beginning of the membership. Which of the following represents Natalia’s total charge, in dollars, for a membership lasting m months?
A) 1.09(5.95m + 15)
B) 1.09(5.95m) + 15
C) 1.09m(5.95 + 15)
D) 0.09m(5.95) + 15
P.S. please provide the answer with the working
Awnser:
Natalie Spent $59.54 on songs after 5 months at online music service.
Step-by-step explanation:
Given:
Total membership cost =$14.99
Number of songs purchased in each month = 9
Cost per song = $0.99
We need to find total amount she had spent after 5 months.
Solution:-
So First we will Number of songs purchased in 5 months.
1 month = 9 songs
So in 5 months = Songs purchased in 5 months.
By Using Unitary method we get;
Songs purchased in 5 months =
Now Also Given:
1 song = $0.99
45 songs = Cost for 45 songs.
Again by using Unitary method we get;
Cost for 45 songs =
No Total Amount Natalie spent after 5 months is equal to Total membership cost plus Cost of songs purchased in 5 months.
framing in equation form we get;
Total Amount Natalie spent =
Hence Natalie Spent $59.54 on songs after 5 months at online music service.
The expression representing Natalia’s total charge, in dollars, for a membership lasting m months is given by: Option B: 1.09(5.95m) + 15
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Given that:
Monthly membership fee by online music service considered = $5.95Tax of 9% on monthly feeOne time initiation fee = $15Time for which she uses this service = m monthsTotal charge Natalia has to pay for m months = Monthly membership fees for m months + 9% tax on it per month + one time initiation fees.
Monthly membership fees + tax amount = $5.95 + 9% of $5.95
= [tex]5.95 + \dfrac{5.95}{100} \times 9 = 5.95 (1 + 0.09) = 5.95(1.09)[/tex] (in dollars)
This is paid for 'm' months, so:
Membership fees + tax amount (for m months) = [tex]5.95 \times (1.09)\times m[/tex] (in dollars)
And as One time initiation fee = $15, thus, we get:
Total charge Natalia has to pay for m months = [tex]5.95 \times (1.09)\times m + 15[/tex]
Equivalently, this is 1.09(5.95m) + 15 (in dollars) (as given by Option B)
(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Thus, the expression representing Natalia’s total charge, in dollars, for a membership lasting m months is given by: Option B: 1.09(5.95m) + 15
Learn more about forming equations here:
https://brainly.com/question/11938672
The larger of two complementary angles measures 50° less than 3 times the measure of the smaller. Find the degree measure of larger angle.
Answer:
55°
Step-by-step explanation:
Let x represent the measure of the smaller angle. Then the larger angle is ...
3x -50
and the sum of the angles is ...
x + (3x -50) = 90
4x = 140 . . . . . . . . . add 50 and simplify
x = 35 . . . . . . divide by 4 -- the smaller angle
90 -35 = 55 . . . . the larger angle
The larger angle measures 55°.
Complete each short proof by providing the reason.
9514 1404 393
Answer:
(b) Transitive property of congruence
Step-by-step explanation:
The relations involved are all congruence relations, eliminating choices A and C.
The symmetric property tells you ...
if A ≅ B, then B ≅ A
It is not applicable in this case.
__
The applicable property is the transitive property of congruence:
if A ≅ B and B ≅ C, then A ≅ C.
_____
Additional comment
This is similar to, but distinct from, the substitution property of congruence:
if A ≅ B and A ≅ C, then B ≅ C.
Answer:
Transitive property of congruence
Step-by-step explanation:
Here
XY is congruent to TVTV is congruent to TKHence
XY is congruent to TV is congruent to TKXY is congruent to TKOption B
what is 1.30 in word form?
Answer:
one and thirty thousand seven hundred sixty-nine hundred-thousandths
Step-by-step explanation:
Answer:
one and thirty hundredths
Step-by-step explanation:
One would be 1, the and would stand for the decimal points, and thirty hundredths means the .30.
Which table of values satisfies the linear equation y=−5/6x−3
x y
−12 7
0 0
12 −13
x y
−6 −8
0 −3
6 2
x y
−12 −13
0 0
12 7
x y
−6 2
0 −3
6 −8
Answer:
The last answer choice.
Step-by-step explanation:
Check. Plug in the given number for x, and if the given number for y is the answer, then it is correct:
[tex]\left[\begin{array}{cc}x&y\\-6&2\\0&-3\\6&-8\end{array}\right][/tex]
[tex]y = -\frac{5}{6}x - 3[/tex]
When: [tex]x = -6 , y = 2[/tex]
[tex]2 = (-\frac{5}{-6} * -6) - 3 \\2 = (5) -3\\2 = 2[/tex](True)
When: [tex]x = 0 , y = -3[/tex]
[tex]-3 = -\frac{5}{6}(0) -3\\-3 = 0 - 3\\-3 = -3[/tex] (True)
When: [tex]x = 6 , y = -8[/tex]
[tex]-8 = -\frac{5}{6}(6) - 3\\-8 = -5 - 3\\-8 = -8[/tex](True).
~
Jack is designing flags with 3 parts to them.
He uses either stripes or spots for each of the flag.
How many different flags can jack make?
He can make 6 different flags with 3 parts to them and use either stripes or spots for each of the flags.
The flag has 3 different parts and he uses either stripes or spots to design the three parts.
The number of different design of flag he can make can be calculated below:
3! = 3 × 2 × 1 = 6So, he can make 6 different flags.
read more: https://brainly.com/question/3652422?referrer=searchResults
MC Math question PLS HELP 100 POINTS
Step-by-step explanation:
A1 = 9
r = 2/3
An = ar^{n - 1}
An = 9.(2/3)^{n - 1}
Option → C
Write a word description of the set.
{−7, −6, −5, −4, −3, −2, −1}
Answer:
They are all negative. They are a mix of odd and even numbers.
Step-by-step explanation:
MZL The second angle in a triangle is five times as large as the first. The third angle is two-thirds as large as the first. Fin
Answer:
Step-by-step explanation:
Find the angles?
internal angles of a triangle sum to 180°
x + 5x + ⅔x = 180
6⅔x = 180
x = 27
27°, 135°, 18°
[tex]25x {?}^{2} - 36x {?}^{2} [/tex]
i don't know forula
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex] \boxed{\boxed{- 11 {x}^{2}}} [/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]25 {x}^{2} - {36x}^{2} [/tex]Here, we have to apply the given formula ~
[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]So, the given expression can be shown as ~
[tex](5x) {}^{2} - (6x) {}^{2} [/tex][tex](5x + 6x)(5x - 6x)[/tex][tex](11x) \times ( - x)[/tex][tex] - 11 {x}^{2} [/tex]Or you can simplify it easily as given ~
[tex]25 {x}^{2} - 36 {x}^{2} [/tex][tex] - 11 {x}^{2} [/tex]I hope it helps ~
PLEASSEE HHEELLPP ITS DUE SOON
Answer:
the answers are in the photo
Step-by-step explanation:
you can solve for the range and domain by making an x and y chart, listing the x values, then using the graph in the first part to find the y values with the slope. for the matching part, you can find what the slope is by seeing how much the x values increase and same with the y values. then match the graph with wahtever equation has that slope. I hope this helps
QRINC offered new employees a starting salary of $34,100 in 2013. What would a comparable starting salary have been in 2003?
Answer:
Table of Annual CPI values
2003-184.00
2004-188.90
2005-195.3
2006-201.6
2007-207.342
2008-215.303
2009-214.537
2010-218.056
2011-224.939
2012-229.594
2013-232.957
2014-236.736
QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?
Answer:
Step-by-step explanation:
From the question we are told that
CPI for 2003(index)=2003-184.00
CPI for 2013(index)=2013-232.957
Starting salary in 2013 at $34,862
Generally comparable starting salary C is given as
Therefore C the comparable starting salary is givrn to be
Step-by-step explanation:
Mrs. Stevens deposited $4,500 in a college savings account for her grandson that earns an annual simple interest rate of 6.5%. How much interest will be paid in 10 years?
Answer: $ 2925
Step-by-step explanation:
since i = prt, so:
4500 * 6.5% * 10
Therefore, you will get the answer $2925
PS: for the formula: I = PRT, I represents the money you earn when you deposit money in the bank for several years. P is the principal which is also the money you deposit into the bank at the beginning. R represents the rate of interest, which is the percent of interest of your principal. Last but not least, T represents the time you deposit ur money into the bank. But notice that the time is years. Which means 1 year is 1, 5 years are 5, and 9 months are 9/12 year.
If you help I give you all my points
Answer:
The decimals (I suppose) are 0.4 left diagram and 0.04 right diagram
Step-by-step explanation:
I say no they aren’t equal. 0.4 won’t really ever equal 0.04 because 0.4 is larger.
(if I’m wrong I’m sorry but I’m sure this is the right answer)
Factor this polynomial.
- 2x2 - 7x-3
O A. (-2x + 1)(x + 3)
O B. (2x - 3)(x - 1)
O C. (2x + 1)(x-3)
O D.-1(2x + 1)(x+3)
what is the value of X = □ °
30. -3,-1, 1, 3, 5, ...
I need this to know if this is arithmetic-geometric or Keith please give the value of d or r
Step-by-step explanation:
-3 → -1 → 1 → 3 → 5 → 7 → 9 → etc
+2 +2 +2 +2 +2 +2
By using function :
U1 = -3
U2 = -1
b = -1 - (-3)
b = -1 + 3
b = 2
Un = a + (n - 1)b
Un = -3 + (n - 1)2
Un = -3 + 2n - 2
Un = 2n - 5
Find U6!!
U6 = 2(6) - 5
U6 = 12 - 5
U6 = 7
Ellis is going on a tour that costs $68 while on vacation. He brought less than $96 to pay for the cost of the tour and dinner. Which of the following inequalities represents the money Ellis can spend on dinner?
A.
$96 + d > $68
B.
$68 + d < $96
C.
$96 + d < $68
D.
$68 + d > $96
Answer:
B.$68 + d < $96
Step-by-step explanation:
Ellis is going on a tour that costs $68 while on vacation. He brought less than $96 to pay for the cost of the tour and dinner.
$68 + d less than $96
$68 + d < $96
Note:
< = Less Than
> = Greater Than
≤ = Less Than or Equal to
≥ Greater Than or Equal to
35 percent of a number is what fraction
A) Determine the functions whose graphs are parallel to the graph of the function y=0.5x+10 and intersect the graph of the function y= -1.5x. The functions are expressed by the formulas.
y = -1.5x + 6, y = 0.5x-6
I WILL AWARD 75 POINTS !
B) Determine the functions whose graphs are parallel to the graph of the function y=0.5x+10 and intersect the graph of the function y= -1.5x. The functions are expressed by the formulas.
y = 0.5x+4, y = 0.5x, y = 3+1.5x
Please answer somebody. Someone help
We want to find parallel lines to the given lines, such that also meet some given restrictions.
The solutions are:
A) y = 0.5*x - 6
B) two solutions:
y = 0.5*x + 4
y = 0.5*x
Before start answering, a general line is given by:
y = a*x + b
Where a is the slope and b is the y-intercept.
Another line will be parallel this if and only if it has the same slope and a different y-intercept.
A) We want to find a line that is parallel to y = 0.5*x + 10 and that intersects y = -1.5*x
So we want another line with a slope of 0.5, then the correct option is:
y = 0.5*x - 6
How do we know that this intercepts the other line?
Because if two lines have different slopes, then the lines are not parallel, meaning that at some given point the lines intercept.
B) Similarly, now we want a line parallel to:
y = 0.5*x + 10
And that intersects:
y = -1.5*x
The correct options are the ones with slope equal to 0.5, then we have two correct options:
y = 0.5*x + 4
y = 0.5*x
If you want to learn more, you can read:
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Taking a test please help and explain how you got the answer
the price of the coffee was 50 cents a pound 10 years ago.
If the current price of coffee is $4.25 cents a pound, what
percen increase in pace does this represent?
Answer:
bobo tong user nato
Step-by-step explanation:
whha
possible answers: 0.407, 0.0407, 0.00407, or 0.000407
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{4.07\times10^{-3}}[/tex]
[tex]\mathsf{= 4.07\times\dfrac{1}{10\times10\times10}}[/tex]
[tex]\mathsf{= 4.07\times\dfrac{1}{1,000}}[/tex]
[tex]\mathsf{= 4.07\times0.001}[/tex]
[tex]\mathsf{= 0.00407}[/tex]
[tex]\huge\boxed{\heartsuit\text{ Therefore, your answer is: \boxed{\textsf{Option C. 0.00407}}}}\\\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
600+600-200 Giving Brainliest
Answer:
600+600-200= 100
Step-by-step explanation:
600+600= 1200
1200-200=1000
1000
PLEASE HELP is this least common multiple or greatest common factor.
Answer:
least common
Step-by-step explanation:
Answer:
No, this question is asking how many tanks should Ignacio use? And how many of each type of fish will be in each tank? So ima guess there are 4 tanks with 3 Guppies, 2 mollies, and 3 swordtails in each of the 4 tanks that im guessing. I divided (15, 12, 9) by 4 and got (3, 3, 2). This is the best as i can go to help you. Sorry if i got it wrong.
Step-by-step explanation:
Jack bought a stereo on sale for $231. The original price was $385. What was the percent of decrease in price?
f(x)=−x 2−3x+3 find f(7)
Answer:
22
Step-by-step explanation:
because i swiched the x's to the 7 and multipled
write the equation for this problem Carol's age is three times more than two times Lindsay's age. Carol is 39 years old. How old is Lindsay? Let / = Lindsay's age I. years
39 divided by 3 divided by 2 = /
What is the constant of proportionality for this table?
Time (hr) 2 4 5 9
Pay ($) 16 32 40 72
Question 4 options:
1/8
16
8
2
I WILLMARK BRAINLIEST
