[tex]\begin{cases} \stackrel{\textit{sum is twelve}}{a + b = 12}\\ \stackrel{\textit{product is 32}}{ab = 32}\\[-0.5em] \hrulefill\\ a + b = 12\\ b = 12 - a \end{cases}\qquad \implies \stackrel{\textit{substituting that in our 2nd equation}~\hfill }{a(12-a) = 32\implies 12a-a^2=32} \\\\\\ 0=a^2-12a+32\implies 0=(a-8)(a-4)\implies a= \begin{cases} 8\\ 4 \end{cases} \\\\\\ \stackrel{\textit{we know that}}{b = 12 - a}\implies b = \begin{cases} 12-8\to &4\\ 12-4\to &8 \end{cases}[/tex]
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°.
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
Determine a series of transformations that would map Figure P onto Figure Q.
Answer: Rotate 280 degrees
Step-by-step explanation:
Each 90 degree rotation makes the figure go into the next quadrant of the graph. So, going clockwise, you have to move the figure three quadrants to get Figure P to the position of Figure Q. Thus, 3 x 90 = 280 degrees. There is only one transformation required.
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
[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 ~
find the zeros of
[tex]f(x) = {x}^{2} + 2x + 2 [/tex]
Answer:
x = − 1 ± i
Step-by-step explanation:
Which number line best shows how to solve -4 -(-6)?
-10-8
2
6 8 10
-10-8
-6
0
2 4
6 8 10
-10
-8
0
2
4
6
8
10
Answer:
2
Step-by-step explanation:
-4 - (-6)
-4 +6 (- - = +)
=2
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.
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
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 = $15, thus, we get:
Total charge Natalia has to pay for m months = [tex]5.95 \times (1.09)\times m + 15[/tex]
Equivalently, this is 1.09(5.95m) + 15 (in dollars) (as given by Option B)
(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Thus, the expression representing Natalia’s total charge, in dollars, for a membership lasting m months is given by: Option B: 1.09(5.95m) + 15
Learn more about forming equations here:
https://brainly.com/question/11938672
help... no links please
Answer:
C
Step-by-step explanation:
Brainlist?
:)
If you help I give you all my points
Answer:
The decimals (I suppose) are 0.4 left diagram and 0.04 right diagram
Step-by-step explanation:
I say no they aren’t equal. 0.4 won’t really ever equal 0.04 because 0.4 is larger.
(if I’m wrong I’m sorry but I’m sure this is the right answer)
What is the constant of proportionality for this table?
Time (hr) 2 4 5 9
Pay ($) 16 32 40 72
Question 4 options:
1/8
16
8
2
I WILLMARK BRAINLIEST
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
600+600-200 Giving Brainliest
Answer:
600+600-200= 100
Step-by-step explanation:
600+600= 1200
1200-200=1000
1000
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
35 percent of a number is what fraction
Find the solutions to the equation
Answer:
4th one down
Step-by-step explanation:
Find the slope of each side of the quadrilateral please help thank you!
Answer:
AB = 3
BC = 2/5
CD = 3
DA = 2/5
Hope this helps!
Can someone check my work before I move on?
Answer:
so 238 rounded up is 240
244 rounded up is 240
295 rounded up is 300 so you can just do the rest
Step-by-step explanation:
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
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
-2/3-(-1/2)
Please help
Answer:
the answer might be -⅓ because-⅔-(½) answer is -⅓
what is the value of X = □ °
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°
2p² - 3 = 15 | What is the value
Answer: p= -3
p=-5/2=-2.500
Step-by-step explanation:
plss be brianleist
What values complete each statement?
Enter your answers in the boxes.
(116)? =
in simplest form.
2
By the Power of Power rule,
(167) * = 16
So, 16ż must equal
in radical form.
Answer:
16√16Step-by-step explanation:
The idea of the square root of a number is that the square of it gives the number. Then the square of the square root of 16 will give 16.
The middle line of your problem statement tells you that the square of 16^(1/2) gives 16. This lets you interpret the meaning of 16^(1/2) as the same thing as the square root of 16.
16^(1/2) = √16 . . . . in radical form
_____
Additional comment
The index of the radical can be seen to be the denominator of the corresponding rational exponent. Of course, the index 2 in a square root symbol is "understood", rather than shown explicitly.
Using similar logic, for example, we can write ∛8 = 8^(1/3).
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:
Taking a test please help and explain how you got the answer
