Answer:
(-2,5) is vertex ; y-intercept (0,5) but the y-intercept is actually (0,-7).
Step-by-step explanation:
The vertex form of a quadratic is where the vertex is (h,k). Here h=-2 and k=5. So the vertex is (-2,5).
hope this helped and sorry if it didn't
I need help on this asap, I'm giving 39 POINTS and mark BRAINLIEST the question is on the pic! thankss
20) Solve the problem. Suppose that 12 unique names are put into a hat and drawn at random without
replacement. How many different ways can you draw all of the names from the hat? Remember that
"without replacement" means that the names are not returned to the hat after they are chosen. Write your
answer in factorial notation.
SHOW WORK: None to be shown
A) 12!
B) 11!
C) 10!
D) 12! - 1
the answer would be A) 12 because there are only twelve names
The number of different ways is 12! you can draw all of the names from the hat without replacement option (A) 12! is correct.
What are permutation and combination?
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
Number of unique names = 12
That 12 unique names are put into a hat and drawn at random without
replacement.
"Without replacement" means that the names are not returned to the hat after they are chosen.
Number ways (without replacement) = 12x11x10x9x8x7x6x5x4x3x2x1
Number ways (without replacement) = 12!
Thus, the number of different ways is 12! you can draw all of the names from the hat without replacement option (A) 12! is correct.
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Determine the equation for the line that passes through (2,-1) and (6,5)
Write in point slope form
Write in slope intercept form
Write in standard form
Answer with explanation:
The equation of a line passing through (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Equation of line passing through (2,-1) and (6,5) is given by :-
[tex](y-(-1))=\dfrac{5-(-1)}{6-2}(x-2)\\\\\Rightarrow\ (y+1)=\dfrac{6}{4}(x-2)[/tex]
[tex]\\\\\Rightarrow\ (y+1)=\dfrac{3}{2}(x-2)\ \ \ \ \ \text{[point slope form} : (y-y_1)=m(x-x_1)] \\\\\Rightarrow\ y+1=\dfrac{3}{2}x-3\\\\\Rightarrow\ y=\dfrac32x-4\ \ \ \ \ [\text{ slope intercept form} : y= mx+c]\\\\\Rightarrow\ 2y= 3x-2\times4\\\\\Rightarrow\ 2y=3x-8\\\\\Rightarrow\ 3x-2y=8 \ \ \ \ [\text{Standard form : Ax + By = C}][/tex]
Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $2.89 a. Let m represents the number of songs downloaded. Write an inequality that represents this given situation? b. What is the maximum number of songs Abbey can download?
Answer:
A. $2.89(m)=$40
B. 13 songs
Step-by-step explanation:
$2.89(m)=$40
m=$40/$2.89
m=13.84
She can download a maximum of 13 songs
Check:
$2.89 (13 songs)=$37.57
$40-$37.57=$2.43 left on her gift card
m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43
Answer:
13 songs
Step-by-step explanation:
40 divided by 2.89 is 13.84. DO NOT ROUND TO 14
So its a maximum of 13 songs, otherwise it will cost 40.46 for 14 songs
Using the function h(x) = 2x – 3, what would the input need to be for an output of 7?
Therefore, the input needed for an output of 7 using the function h(x) = 2x - 3 is x = 5.
What is function?In mathematics, a function is a rule that assigns a unique output or value to each input of a given set. In other words, a function is a relationship between two sets, called the domain and the range, such that for each input value in the domain, there is exactly one output value in the range. A function can be represented by a mathematical expression or formula, a graph, a table, or a set of ordered pairs. Functions are used to model various phenomena and solve problems in many fields, including science, engineering, economics, and finance.
Here,
To find the input (x) that corresponds to an output of 7, we can set h(x) equal to 7 and solve for x as follows:
h(x) = 2x - 3
Setting h(x) = 7, we get:
7 = 2x - 3
Adding 3 to both sides, we get:
10 = 2x
Dividing both sides by 2, we get:
x = 5
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What is the difference between ploting (2, 3) and (3, 2)
on a coordinate plane? Explain.
A 6.50% coupon bond with 18 years left to maturity is offered for sale at $1,035.25. What yield to maturity [interest rate] is the bond offering? Assume interest payments are paid semi-annually, and solve using semi-annual compounding. Par value is $1000.
Answer:
The yield to maturity is 6.3974%
Step-by-step explanation:
The computation of the yield to maturity is as follows
Given that
NPER = 18 × 2 = 36
PMT = $1,035.25 × 6.50% ÷ 2 = $33.65
PV = $1,035.25
FV = $1,000
The formula is shown below:
=RATE(NPER;PMT;-PV;FV;TYPE)
The present value comes in negative
AFter applying the above formula, the yield to maturity is
= 3.1987% × 2
= 6.3974%
Hence, the yield to maturity is 6.3974%
What is the name of a polygon that has four congruent sides and these angle
measures: 60°, 120°, 60°, 120°?
A. Rectangle
B. Rhombus
C. Trapezoid
D. Square
Answer:
I believe the answer is "rhombus." so B
Step-by-step explanation:
Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.
Answer:
II. One and only one solution
Step-by-step explanation:
Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.
Let assume the equation is given as;
x + 3y = 11 .... 1
x - y = -1 ....2
Using elimination method
Subtract equation 1 from 2
(x-x) + 3y-y = 11-(-1)
0+2y = 11+1
2y = 12
y = 12/2
y = 6
Substitute y = 6 into equation 2:
x-y = -1
x - 6 = -1
x = -1 + 6
x = 5
Hence the solution (x, y) is (5, 6)
Hence we can say the equation has One and only one solution since we have just a value for x and y
What are the domain and range of the function x^2-2x^2-4?
[tex] {x}^{2} - 2 {x}^{2} - 4 \\ - {x}^{2} - 4[/tex]
The Quadratic Function has the domain as the set of all real numbers.
For the range, start from minimum value to maximum value.
But because the parabola is downward as a < 0. Thus, there are no minimum value but the maximum value instead.
Therefore the range is y <= -4
Jason and his twin brother, Seth, are painting the walls in their bedroom. It took Jason 50 minutes to paint a 160-square-foot wall. It took Seth 30 minutes to paint a 120-square-foot wall. Who painted faster?
Answer:
Jason
Step-by-step explanation:
Answer:
It's Seth
Step-by-step explanation:
Put these integers in order from least to greatest.
34, 0, – 17, - 56 , 5
Answer: -56 -17 0 5 34
Step-by-step explanation:
The more left you go on a number line the smaller it is
Answer:
-56,-17,0,5,34
Step-by-step explanation:
negatives are less than the positives so you start with the greatest negative and then go to the positives. The 0 is the origin.
Evaluate the expression
for
and
.
Answer:
Huh? Is this like a real question?
expand 2 + 4 how do i do this
Answer:
6
Step-by-step explanation:
You could expand t to 1+1+1+1+1+1 which would give you 6.
Answer:
2+4=6
Step-by-step explanation:
PLS HELP STATTTTTTTTTTTTTTTTTTTTT
Miss Hampton has 88 gold stickers. She wants to give the same number of stickers to each of her 9 students. If she gives away as many stickers as she can, how many stickers will be left over? [REMAINDER]
Answer:
She will have 7 stickers left over
Answer:
She will have 7 gold-painted stickers left.
If she gives each of them 9, then she'll be giving away 81.
Step-by-step explanation:
You have $500, sale price is $435. How much change will you get
Answer:
go to sleep its 11:23 also u will get
$65 dollars pls mark me brainleist
Step-by-step explanation:
150 pounds to 135 pounds
Answer:
15 pounds
Step-by-step explanation:
150-135
Answer:
15 pounds
Step-by-step explanation:
Arrange the numbers 53 , 62 and 27 in order from least to greatest.
27, 53, 62
53, 27, 62
62, 53, 27
62, 27, 53
Answer:
The answer is 27, 53, and 62
Step-by-step explanation:
This is the answer because 27 is the lowest and then 53 and then you have 62 because it is the biggest.
Answer:
27, 53, 62
...................
(1 point) A pond contains 100 fish, of which 40 are carp. If 20 fish are caught from the lake, what are the mean and variance of the number of carp among those 20
Answer:
E(X) = 6
Var(X) = 3.394
Step-by-step explanation:
Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each
of the (100, 20) ways to catch the 20 fishes will be equally likely.
Thus, we can say that X fulfills a hypergeometric
distribution with parameters as follows;
n = 20, N = 100, k = 30
Formula for expected mean value in hypergeometric distribution is;
E(X) = nk/N
E(X) = (20 × 30)/100
E(X) = 6
Formula for variance is;
Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]
Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]
Var(X) = 6 × 0.5657
Var(X) = 3.394
TS is an angle bisector. If m∠RTS=x+10 and m∠UTS=2x+5, find m∠RTU.
answer choices below
30°30 degrees
15°15 degrees
80°80 degrees
5°
Answer:
m∠RTS= 15°, m∠UTS= 15°, m∠RTU= 30°
Step-by-step explanation:
Since TS bisects RTS and UTS, that means the two angles are equal to each other. So let's find x first.
x+10=2x+5, subtract x to both sides
10=x+5, subtract 5 to both sides
x=5
Since RTU is basically RTS plus UTS, let's add the two angles together
x+10+2x+5, combine like terms
3x+15
Then we can plug in 5 for x
3(5)+15
15+15
=30
So, RTU is 30 degrees
Answer:
kjndnsadnsdnasnldnkasbdkbaskbjdbLol i dont caewnsnasdHBsadHKUsadkhsdkkbhaSKHChASKUCDKJGCHakbsDKskbhaKHDHU
Step-by-step explanation:
Solve the system by substitution. y = 8x + 32 Y= -8x
ill give the crown things
The school book fair has a great deal on the last day of the book fair! The first two books you buy costs a total of $7 and then each book purchased after that costs $3.50. How much do you owe if you purchase 8 books?
Answer:
28$
Step-by-step explanation:
You subtract 2 from 8 which is 6, you then multiply 6 times 3.50. Then add 7, which you get 28$
Answer:
$28.000000000000000000000000000000000
Step-by-step explanation:
Lol they're called, wait, what are they called again? ;-; no no I really forgot this time.
Onto the Problamo
We purchase 8 books in total. The first two books cost $7. So that 2/8 books purchased. now we need to purchase 6 more. Because It says: $3.50 per book, we do 3.50*6 or 3.50+3.50+3.50+3.50+3.50+3.50. so 7$ from the 2 books from the first statement plus $21 from the leftover 6 books.
7+21=28$
so I owe the school book fair $28 in the end
A box has a length of 5 cm, a width of 10 cm, and a helght of 2 cm. The volume of the box is 3 17 cm 3 100 cm 100 cm 17 cm
Answer:
17 cm
Step-by-step explanation:
A box has a length of 5 cm, a width of 10 cm, and a height of 2 cm. the volume of the box is: 17 cm
Where is the circumcenter of this obtuse triangle located? A inside the triangle B outside the triangle C on a side of the triangle D at a vertex of the triangle
Answer: B) Outside the triangle
Step-by-step explanation:
The circumcenter of a obtuse triangle is always outside of the triangle
Help me I’m not sure the answe
Answer:
i believe it would be the last option.
Step-by-step explanation:
HELLLLLPPPPPPPP MY SISTER HAS LATE HOMEWORKKKKK she need help with number 4. the empty space is the part where She need to show how She got her answer so if someone could help that would mean the world to me and her
Answer:
13
Step-by-step explanation:
13x4=52 that would be in the check section or whatever but she did really good
Answer:
Your sister did the equation perfectly. That's exactly how I would work it, and the answer is 13.
Calculate the value of k for which the polynomial equation f(x)=x^3-kx+12 has the root of x=-4
If x = -4 is a root of f(x), then dividing f(x) by x + 4 leaves a remainder of 0.
Compute the quotient,
(x³ - kx + 12) / (x + 4)
x³ = x² • x, and
x² (x + 4) = x³ + 4x²
Subtract this from the dividend (f(x)) to get an initial remainder of
(x³ - kx + 12) - (x³ + 4x²) = -4x² - kx + 12
-4x² = -4x • x, and
-4x (x + 4) = -4x² - 16x
Subtract this from the previous remainder to get a new one of
(-4x² - kx + 12) - (-4x² - 16x) = (16 - k) x + 12
(16 - k) x = (16 - k) • x, and
(16 - k) (x + 4) = (16 - k) x + 64 - 4k
which gives the next remainder,
((16 - k) x + 12) - ((16 - k) x + 64 - 4k) = 4k - 52
4k - 52 does not divide x, so we're done and what we've shown is
f(x) / (x + 4) = x² - 4x + 16 - k + (4k - 52)/(x + 4)
(just gathering the bold terms above and the last remainder)
The remainder should be 0, so that
4k - 52 = 0
4k = 52
k = 13
3. Simplify the following inequalities.
Answer:
7x+7 > 23-x
group like terms
7x+ x > 23-7
8x > 16
we divide both side by
8x > 16
8 8
so 8 cancelled out 8 living
x > 16
8
x > 2
8
we
Solve the inequality
How many people in this town speak Creole?
In a town of 800 people, 5% of them speak Creole
(a)
Answer:
Answer:
40
Step-by-step explanation: