First simplify the equation of parabola y=-5x^2+15x-10 in the following way:
D=(15)^2-4\cdot (-5) \cdot (-10)=225-200=25, \\ \sqrt{D}=5, \\ x_{1,2} = \dfrac{-15\pm 5}{2\cdot(-5)} = 2, 1 \\ -5x^2+15x-10=-5(x-1)(x-2), \\ y=-5(x-1)(x-2).
You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).
A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability that it is not white? Give your answer as a fraction in lowest terms.
Please help!!!
Answer:
2/3
Step-by-step explanation:
The first person to make me become Brainliest wins the official contest!!! Hurry!
Answer:
I'm not sure but it might be 2/3????? That's just from looking at Spatrickfarley's answer. He deserves Brainliest!
I need which other form can you represent the number 2 1/3
Answer:
You can also represent it as [tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
[tex](\sqrt[3]{2})^{3} =2\\2^{\frac{1}{3} } =2[/tex]
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Which phrase should be inserted on the line to make a true statement? Use the models to help.
Answer:
2/3 = 8/12
Step-by-step explanation:
2/3 vs 8/12
Multiply the left by 4/4 to get common denominators
2/3 *4/4 = 8/12
They are equal
Answer:
is equal to or awnser D
Step-by-step explanation:If you divide the you get the same awnser
is the sum of (5x - 6) + (x + 2) 6x-4?
Answer:
Yes.
Step-by-step explanation:
Because the terms inside the parentheses are fully simplified, we can just add up the terms:
(5x - 6) + (x + 2) =
5x - 6 + x + 2 =
5x + x - 6 + 2 =
6x - 4
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
-8
Step-by-step explanation:
f(1) = -2
g(4)= 6
-8 *(-2) -4 * 6 = 16 -24 = -8
The table provides on road accidents reported to the police for the days in December
Accidents reported Frequency
0-5 9
6-10 10
11-15 6
16-20 6
Estimate the mean.
Give your answer rounded to 1 DP.
Answer:
[tex]Mean = 9.3[/tex]
Step-by-step explanation:
Given
Let accidents reported be represented by x and the frequency be represented by f
x ----- f
0-5 -- 9
6-10 -- 10
11-15 -- 6
16-20 -- 6
Required
Calculate the Mean;
To calculate the mean of a grouped data, the first step is to calculate the midpoint of the observation;
When x = 0 - 5
Midpoint = 0.5(0 + 5) = 0.5 * 5 = 2.5
When x = 6 - 10
Midpoint = 0.5(6 + 10) = 0.5 * 16 = 8
When x = 11 - 15
Midpoint = 0.5(11 + 15) = 0.5 * 26 = 13
When x = 16 - 20
Midpoint = 0.5(16 + 20) = 0.5 * 36 = 18.
So, the new table is as follows;
x ------- f
2.5 ---- 9
8 ----- 10
13 ------ 6
18 ------ 6
Mean is calculated by ∑fx/∑f
Where ∑fx represent sum of the product of f and x
∑f represent sum of frequency
∑fx = 2.5 * 9 + 8 * 10 + 13 * 6 + 18 * 6
∑fx = 288.5
∑f = 9 + 10 + 6 + 6
∑f = 31
So,
[tex]Mean =\frac{288.5}{31}[/tex]
[tex]Mean = 9.3064516129[/tex]
[tex]Mean = 9.3 (Approximated)[/tex]
Hence, the mean of road accidents in December is 9.3
Sammy the school custodian is having a debate with Marci the museum curator. Sammy contends that the school is larger than the museum in terms of area. Marci contends the opposite. To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below). The area of the school is \text{m}^2m 2 start text, m, end text, squared. Round the final answer to the nearest square meter. Do not round intermediate calculations. The area of the museum is \text{m}^2m 2 start text, m, end text, squared. Round the final answer to the nearest square meter. Do not round intermediate calculations. Who should win the debate?
Answer:
(Satellite images of both the buildings on a single coordinate grid are shown in the ATTACHMENT)
MARCI SHOULD WIN
AREA OF MUSEUM > AREA OF SCHOOL
Step-by-step explanation:
Find the area of School in Grid squares:
[tex]Width=\sqrt{1^2+3^2}\\ Width=\sqrt{10}\\Length=\sqrt{2^2+6^2}\\Length=\sqrt{40}\\Area=(Length)\cdot(Width)=\sqrt{40}\sqrt{10}=20\\[/tex]Area of School = 20 Grid squares*10*10
Area of School = 2000 m²
Find the area of Museum in Grid squares:
[tex]A=\pi{r^2}\\A=\pi(3^2)\\A=9\pi[/tex]
Area of Museum = 9п grid squares
Area of Museum = 2826 m²
AREA OF MUSEUM > AREA OF SCHOOL
A horizontal boxplot is plotted along a horizontal axis marked from 70 to 150, in increments of 5. A left whisker extends from 80 to 90. The box extends from 90 to 115 and is divided into 2 parts by a vertical line segment at 105. The right whisker extends from 115 to 130. All values estimated. A horizontal boxplot is plotted along a horizontal axis marked from 70 to 150, in increments of 5. A left whisker extends from 80 to 90. The box extends from 90 to 115 and is divided into 2 parts by a vertical line segment at 105. The right whisker extends from 115 to 130. All values estimated. The box plot suggests that about 50\%50%50, percent of high schools in Orange County have more than what number of band members? Choose 1 answer:
Answer:
The correct option is;
105 band members
Step-by-step explanation:
The 5 values are
Minimum value = 80
Q₁ = 90
Q₂ = 105
Q₃ = 115
Maximum value = 130
Whereby the horizontal axis indicates the number of band members is a school, while the 5 values of the box plot are the percentiles of the schools in Orange County and also that the lines are graduated in increments of 5, we have that the median = 105 which is the 50% mark, therefore;
50% of high schools in Orange County have more than 105 band members.
Answer:
The answer would be 105
Step-by-step explanation:
I got this right on Khan Academy <33
Question 10
The price of one share of a stock fell 4 dollars each day for 8
days. How much value did one share of the stock lose after 8
days?
What is the perimeter P of △DEF to the nearest whole number?
A triangle DEF. The length of DF is 10. The base angle E is 49 degrees and F is 42 degrees.
Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
[tex]\frac{sin E}{e} = \frac{sin F}{f}[/tex]
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 42}{f}[/tex]
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
[tex]\frac{sin E}{e} = \frac{sin D}{d}[/tex]
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 89}{d}[/tex]
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
Please please please help me I need to get this right so please don’t do that if you don’t know geometry
Answer:
Step-by-step explanation:
All the sides are marked with congruency slashed, and they all line up when you orient the triangles the same way, so the statement is SSS.
The synthesis of a large collection of information that contains well-tested and verified hypotheses about certain aspects of the world is known as a scientific
A) fact.
B) hypothesis.
C) law or principle.
D) theory.
E) none of these.
Answer:
it's a B because it's the best answer for this quistion like they are saying IF I do this Then this should happen
What is (n^2)(n^3)^-2?
(-2,-1) is a solution of the equation 4x + 5y = -13.
Answer:
true
Step-by-step explanation:
4x + 5y = -13.
Substitute the point in
4(-2) + 5(-1) = -13
-8+-5 = -13
-13 = -13
This is true so the point is a solution
What is X...……………………….
Answer:
x=6
Step-by-step explanation:
You can reach this answer by doing the equation
4+(x-3) = 2x-5
doing the math you will get that 6 is your x.
Hope this helps :)
factorise a)2x+8 b)3x-12 c)6x+4 d) 18x-9
factorise f²-f-20 step by step
Answer:
(f+4)(f−5)
Step-by-step explanation:
The middle number is -1 and the last number is -20.
Factoring means we want something like
(f+_)(f+_)
We need two numbers that...
Add together to get -1
Multiply together to get -20
4+-5 = -1
4*-5 = -20
Fill in the blanks in
(f+_)(f+_)
with 4 and -5 to get...
(f+4)(f-5)
_______________________________
Hey!!
Solution,
f^2-f-20
= f^2-(5-4)f-20
= f^2-5f+4f-20
= f(f-5)+4(f-5)
=(f-5)(f+4)
So the answer is (f-5)(f+4)
Hope it helps..
Good luck on your assignment
_____________________________
Which table represents a function that does not have a constant rate of
change?
O A.
A/WIN/Holx
y
16
23
30
37
44
O B.
Х
0
1
2
3
4
y
30
36
42
48
54
O c.
х
0
1
2
3
4
11
12
14
18
26
OD.
Х
0
1
2
3
4
y
10
18
26
34
42
Answer:
c.
Step-by-step explanation:
In table one , the rate of change is by adding 7 to each number
in table 2, the rate of change is by adding 6 to each number
in table 4, the rate of change is by adding 8 to each number
but in table 3, there is no precuse addition of numbers
Which relationship describes angles 1 and 2?
Select each correct answer.
supplementary angles
vertical angles
complementary angles
adjacent angles
Answer:
Supplementary angles
Adjacent angles
Step-by-step explanation:
They add up to a straight line, which is 180 degrees, therefore they are supplementary.
They also share a side and the corner point, hence adjacent.
Answer: A,D Supplementary Angles
Adjacent Angles
Step-by-step explanation: K12 3.04 test
Find the y-intercept of the following equation. Simplify your answer.
y = 10x + 5
y-intercept=
i need help plzzzzzzzzzzzz
Answer:
Fraction : [tex]\frac{3}{10}[/tex]
Decimal = 0.3
Percent = 30%
Answer:
Fraction: 3/10
Decimal: 0.3
Percent: 30%
Step-by-step explanation:
3/10 are shaded blue
0.3 is shaded blue
30% is shaded blue
Rahul was given 32 problems for home work. He has worked out . $ of them on Monday and . % of them on Tuesday . Find the number of problems left unsolved.
Answer: **Incomplete question**
Step-by-step explanation: Your question is incomplete, and missing very important details. However I would attempt to use assumed values in place of the omitted ones so that after explaining, it would be pretty much easy to figure out the solution.
If Rahul was given a total of 32 questions and he has worked out for example 25% of them on Monday and then 50% of them on Tuesday, to find the number of problems left, we would need to find the number of questions represented by the percentage indicated.
If he has worked out 25% of them on Monday, then that means he had done the following
Percentage done = 25% (or 25/100 which equals 0.25)
Number of problems solved = 32 * 25%
Number of problems solved = 32 * 0.25
Number of problems solved = 8
Further he solved 50% of them on Tuesday
Percentage done = 50% (or 50/100 which equals 0.50)
Number of problems solved = 32 * 50%
Number of problems solved = 32 * 0.5
Number of problems solved = 16
This means he has now solved a total of
8 + 16 = 24
If therefore he has solved 24 problems, then the number of problems left is derived simply as
Unsolved problems = 32 - 24
Unsolved problems = 8
Please remember that the use of 25% and 50% are simply assumptions in order to make explaining the solution easier. Please insert the correct values of the percentage as appropriate.
A car was marked $25,000. Ms. Eve bought it at a discount of
18%. In addition, she had to pay 7% tax. If Ms. Eve had to put
14% of what she had to pay as down payment, how much
money did she have to pay for the down payment?
4
Answer:
$3,745
Step-by-step explanation:
First, you have to calculate the price after the discount is applied:
Price of the car: $25,000
Discount: 18%
$25,000*18%= $4,500
$25,000-$4,500= $20,500
Second, you have to calculate the total amount she has to pay including the 7% tax:
$25,000*7%= $1,750
$25,000+$1,750= $26,750
Third, as the statement indicates that Ms. Eve had to put 14% of what she had to pay as down payment, you have to calculate the 14% of $26,750:
$26,750*14%= $3,745
According to this, Ms. Eve has to pay $3,745 for the down payment.
Which monomial has a degree of 3?
a. 3
b. 3x2
c. 3x
d. -2x3
Answer:
So a degree means the power. So which ever has a power of three. I think you forgot to show to power, its D i think
D is answer
use the vector w=3\sqrt(2)i+\sqrt(2)j to find 2w
Answer:
The answer is "[tex]\bold{6\sqrt(2)i+2\sqrt(2)j)}[/tex]"
Step-by-step explanation:
Given:
[tex]w=3\sqrt(2)i+\sqrt(2)j[/tex]
To Find:
2w=?
Solution:
[tex]\Rightarrow 2w= 2\times w\\\\\Rightarrow 2w= 2\times (3\sqrt(2)i+\sqrt(2)j)\\\\\Rightarrow 2w= 6\sqrt(2)i+2\sqrt(2)j)\\[/tex]
Plzzz help !!
The sugar sweet company will choose two companies to transport its sugar to market. The first company charges $6990 to rent truck and plus an additional fee of $175.75 for each ton of sugar. The second company charges $7500 to rent trucks plus an additional fee of $150.25 for each ton. For what amount of sugar do the companies charge the same and what is the cost when the two companies charge the same ?
Answer: 14 tons and $3,860.50
Step-by-step explanation:
What is 0.25 as a percent?
Answer:
Step-by-step explanation:
25%
the numbers after the decimal formes a percent
0.x
x = x_%
Answer:
25%
Step-by-step explanation:
25 x 100 you move the decimal point two places to the right.
So you end up with 25%
I really hope this helps.
if a number of 721 students enrolled to a school & the number increases by 7%, by the next year how many students will there be?
Answer:
771
Step-by-step explanation:
Answer:
771
Step-by-step explanation:
HELP TIMED! WILL MARK BRAINLIEST! What are the domain and range of the piecewise function below? Graph and answer choices are attached.
Answer:
Its the second choice.
Step-by-step explanation:
x does not have a value of -2 so is not in the domain
The range does not have values greater than 1 and less than or equal to 4.