Answers
Answer:
D) x = ± 2√5 - 4
Step-by-step explanation:
2x² + 16x - 8 = 0
Yah, i plugged this into m a t h w a y
(all of ur questions pretty much can use this app or website)
Answer:
D
Step-by-step explanation:
Given
2x² + 16x - 8 = 0 ( divide through by 2 )
x² + 8x - 4 = 0 ( add 4 to both sides )
x² + 8x = 4
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(4)x + 16 = 4 + 16
(x + 4)² = 20 ( take the square root of both sides )
x + 4 = ± [tex]\sqrt{20}[/tex] = ± [tex]\sqrt{4(5)}[/tex] = ± 2[tex]\sqrt{5}[/tex] ( subtract 4 from both sides )
x = - 4 ± 2[tex]\sqrt{5}[/tex] → D
Related Questions
..Find the missing number?
Answers
Answer:
The missing number would be 17
Step-by-step explanation:
Answer: I think it’s 7
Step-by-step explanation:
Help plssssssssss I don’t wanna fail
Answers
Answer: 5:15 PM
Step-by-step explanation: All you need to do is add numbers together. Make sure to remember that there is 60 minutes in one hour :)
You want to buy a pet rabbit that costs $49. You already have $18 and you plan to save $9 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the rabbit in six weeks.
Answers
Answer:
You would need $31 so W=4 and you would have $5 left
Step-by-step explanation:
i did 49 minus 18 which gave me 31 so 9c3 would be 27 so i did 9 times 4 would =36 and if you work for 6 weeks you would have 54 and add 18 to it and you would have $72
sorry if im wrong or late
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3950 grams and a standard deviation of 374 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4473 grams. Round your answer to four decimal places.
Answers
Answer:
0.9192 = 91.92% probability that the weight will be less than 4473 grams.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean weight of 3950 grams and a standard deviation of 374 grams.
This means that [tex]\mu = 3950, \sigma = 374[/tex]
Find the probability that the weight will be less than 4473 grams.
This is the pvalue of Z when X = 4473. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4473 - 3950}{374}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a pvalue of 0.9192
0.9192 = 91.92% probability that the weight will be less than 4473 grams.
What value of x makes this equation true?
12x - 15 = 6 - 36
Answers
12x - 15= 6-36
12x= 15+30
X=45/12
X=3.75
12(3.75) - 15 = 6-36
30=30
someone please help me answer this!!!
Answers
Answer:
15 using the Pythagorean theorem.
hope it helps, plz mark me as brainliest.
Answer:
15 units is the answer.
Step-by-step explanation:
points are (-3,-4) and (6,8)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-3))^2 + (8-(-4))^2}\\\\d=\sqrt{(9)^2+(12)^2} \\\\d=\sqrt{81+144} \\\\d=\sqrt{225} \\\\d=15[/tex]
∴ d = 15 units is the distance between the points.
The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?
Answers
=x^2 +2x + 4x + 8
=x^2 + 6x + 8
the other factor is (x + 2)
There are 24 students in Bianca’s GED class. 18 of the students passed the GED On their first try. Which percent of students passed the first time?
Answers
Answer:
75%
Step-by-step explanation:
18 divided by 24 equals .75 and that equals 75 as a percent.
Need help please and thank you
Answers
Answer:
B is your answer
Step-by-step explanation:
there is none but GOOD LUCK
ITS DUE TODAY PLS HELP
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square inches
The volume of the ball is approximately
cubic Inches
Answers
Answer:
i. The surface area of the ball is approximately 28.0 square inches.
ii. The volume of the ball is approximately 14.0 cubic inches.
Step-by-step explanation:
The ball has the shape of a sphere, so that;
C = 2[tex]\pi[/tex]r
9.4 = 2 x [tex]\frac{22}{7}[/tex] x r
65.8 = 44r
r = [tex]\frac{65.8}{44}[/tex]
r = 1.50 inches
The radius of the ball is 1.50 inches.
i. Surface area of a sphere = 4[tex]\pi[/tex][tex]r^{2}[/tex]
So that,
surface area of the ball = 4 x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{2}[/tex]
= 28.2857
The surface area of the ball is approximately 28.0 square inches.
ii. Volume of the ball = Volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
Volume of the ball = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]
= 14.1429
The volume of the ball is approximately 14.0 cubic inches.
Each month, 8 magazines arrive at Sydney's home. Write an equation that would show the number of motnths (n) it took for Sydney to receive 56 magazines.
btw this is multiple choice so this is the choices
A. 56n=8
B.n+8=56
C.8n=56
D.56-n=8
help me asap
Answers
Since 8 magazines are areiving each month (n) and the total is 56, all you have to do is multiply 8 by n and you get 56, the actual answer would be 7 though.
Answer:
C.8n=56
Step-by-step explanation:
Which product is greater than 63
Answers
Answer:
3/2 times 63
Step-by-step explanation: took quiz
Objects moving at the same speed always have the same velocity.
A: False
B: True
Answers
Answer:
A: False
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Velocity is the rate at which an object moves and which way it is going, while speed is just the rate.
Help me answer these
Answers
Step-by-step explanation:
y=-2X2 -2X +4
Answer: I answered it it's C
id really appreciate it if someone helped me , i’ll give you brainliest
Answers
Answer: it’s the same 110 degrees
Step-by-step explanation:
Answer: 110 is the correct answer
What is the slope between (-4, 0) and (0, 2)?
Answers
Answer:0.5
Step-by-step explanation: y = 0.5x + 2
solve the proportion for x. 12/x = 15/24
Answers
Answer:
i think x is 19.2
Step-by-step explanation:
solve x by cross multiplying
D is greater than E and less than C.
C and D are opposites.
At least one number is greater than A.
HELP
Answers
Answer:
?
Step-by-step explanation:
Can someone help me with this?
Answers
9514 1404 393
Answer:
π/4, 7π/4
Step-by-step explanation:
Adding √2 and dividing by 2 makes the equation ...
cos(θ) = (√2)/2
The first-quadrant solution is ...
θ = arccos((√2)/2) = π/4
The angle in the 4th quadrant with the same reference angle will have the same cosine value.
θ = 2π -π/4 = 7π/4
The two solutions are θ = π/4, 7π/4.
Which NCAA college basketball conference has the higher probability of having a team play in a college basketball's national championship game? Over the last 20 years, the Atlantic Coast Conference (ACC) ranks first by having a team in the championship game 10 times. The Southeastern Conference (SEC) ranks second by having a team in the championship game 8 times. However, both conferences have had teams in the championship game only one time, when Arkansas (SEC) beat Duke (ACC) 76–70 in 1994 (NCAA website, April 2009). Use these data to estimate the following probabilities.
a. What is the probability the ACC will have a team in the championship game?
b. What is the probability the SEC will have team in the championship game?
c. What is the probability the ACC and SEC will both have teams in the championship game?
d. What is the probability at least one team from these two conferences will be in the championship game? That is, what is the probability a team from the ACC or SEC will play in the championship game?
e. What is the probability that the championship game will not a have team from one of these two conferences?
Answers
Answer:
A)P(ACC has a team in the championship game) = 0.5
B)P(SEC has a team in the championship game) = 0.4
C)P(both ACC & SEC having teams in the championship games) = 0.05
D)P(ACC or SEC) = 0.85
E)P(not ACC or SEC) = 0.15
Step-by-step explanation:
A) We are told that in the last 20 years, ACC has had a team in the championship game for 10 times.
Thus;
P(ACC has a team in the championship game) = 10/20 = 0.5
B) SEC has a team in the championship game 8 times in the last 20 years;
Thus;
P(SEC has a team in the championship game) = 8/20 = 0.4
C) since both ACC and SEC have had teams in the championship game for the past 20 years, then;
P(both ACC & SEC having teams in the championship games) = 1/20 = 0.05
D) Addition rule of probability is that;
P(A or B) = P(A) + P(B) - P(A & B)
Applying it to this question, we have;
P(ACC or SEC) = P(ACC) + P(SEC) - P(ACC & SEC)
Plugging in the relevant values, we have;
P(ACC or SEC) = 0.5 + 0.4 - 0.05
P(ACC or SEC) = 0.85
E) from complement rule, we can find the probability that the championship game will not a have team from one of these two conferences.
Thus;
P(ACC not SEC) = 1 - P(ACC or SEC)
P(ACC not SEC) = 1 - 0.85
P(ACC not SEC) = 0.15
Write the inequality for the description. Use x as your variable.
Mary has at least 14 pairs of shoes in her closet.
Answers
Answer:
x≤14
Step-by-step explanation:
≤ = greater than/equal to(at least)
Which story problem COULD not be solved with a expression 3 1/2 x 1/3
Answers
Answer:
C
Step-by-step explanation:
Instead of how much she should've had left it should've asked how much did she use.
100 Points for this
This series of transformations is performed on a quadrilateral:
a dilation by a factor of 4 with the origin as the center of dilation
a reflection across the y-axis
a 90° counterclockwise rotation about the origin
a translation 3 units down
Arrange the functions representing these transformations in the order in which the transformations occur.
(The tiles are)
f(x, y) = (-4x, 4y)
g(x, y) = (4x, -4y)
h(x, y) = (4x, 4y)
i(x, y) = (4y, 4x − 3)
j(x, y) = (4y, 4x)
k(x, y) = (-4y, -4x)
l(x, y) = (-4y, -4x − 3)
Answers
Answer:
l(x,y) = (-4y, -4x - 3)Step-by-step explanation:
Let's start with function (x, y)
Transformations in the given order result in following
A dilation by a factor of 4 with the origin as the center of dilation
This results in both coordinates multiplied by 4(x, y) → (4x, 4y)A reflection across the y-axis
This results in x-coordinate changing sign to opposite(4x, 4y) → (-4x, 4y)A 90° counterclockwise rotation about the origin
This results in x-coordinate swapping with negative y-coordinate (-4x, 4y) → (-4y, -4x)A translation 3 units down
This results in y-coordinate change by -3(-4y, -4x) → (-4y, 4x - 3)The final function is:
l(x) = (-4y, -4x - 3)Answer:
l(x) = (-4y, -4x - 3)
I got the same answer as Mhanifa and if you want the explanation check his, because mine sucks :(
The quantity of a product demanded by consumers is a function of its price. The quantity of one product demanded may also depend on the price of other products. For example, if the only chocolate shop in town (a monopoly) sells milk and dark chocolates, the price it sets for each affects the demand of the other. The quantities demanded, q1​ and q2​, of two products depend on their prices, p1 and p2, as follows:
q1​=150−2p1​−p2
q2​=200−p1​−3p2​.​
If one manufacturer sells both products, how should the prices be set to generate the maximum possible revenue? What is that maximum possible revenue?
Answers
Answer:
Both prices should be set to #25.
The maximum revenue is #4375
Step-by-step explanation:
Given
[tex]q_1 = 150-2p_1-p_2[/tex]
[tex]q_2 = 200-p_1-3p_2[/tex]
Start by calculating the total revenue (R):
[tex]R = p_1q_1 + p_2q_2[/tex]
[tex]R = p_1(150-2p_1-p_2) + p_2(200-p_1-3p_2)[/tex]
[tex]R = 150p_1-2p_1^2-p_1p_2 + 200p_2-p_1p_2-3p_2^2[/tex]
Collect and solve like terms
[tex]R = 150p_1+ 200p_2-2p_1^2-2p_1p_2 -3p_2^2[/tex]
Differentiate with respect to pi and to p2, respectively
[tex]\frac{dR}{dp_1} = 150 -4p_1 - 2p_2[/tex]
[tex]\frac{dR}{dp_2} = 200 -2p_1 - 6p_2[/tex]
Equate both to 0, to get the critical point
[tex]150 -4p_1 - 2p_2 = 0[/tex]
[tex]200 -2p_1 - 6p_2 = 0[/tex]
Solve for p1 in [tex]150 -4p_1 - 2p_2 = 0[/tex]
[tex]4p_1 = 150 - 2p_2[/tex]
[tex]p_1 = 37.5 - 0.5p_2[/tex]
Substitute [tex]p_1 = 37.5 - 0.5p_2[/tex] in [tex]200 -2p_1 - 6p_2 = 0[/tex]
[tex]200 - 2(37.5 - 0.5p_2) - 6p_2 = 0[/tex]
[tex]200 - 75 - p_2 - 6p_2 = 0[/tex]
[tex]125 - 7p_2 = 0[/tex]
[tex]-7p_2 =-125[/tex]
[tex]p_2 = 25[/tex]
Substitute [tex]p_2 = 25[/tex] in [tex]p_1 = 37.5 - 0.5p_2[/tex]
[tex]p_1 = 37.5 - 0.5 * 25[/tex]
[tex]p_1 = 37.5 - 12.5[/tex]
[tex]p_1 = 25[/tex]
So, we have:
[tex]p_1 = p_2 = 25[/tex]
This implies that the prices should be set to #25.
The maximum possible revenue is:
[tex]R = 150p_1+ 200p_2-2p_1^2-2p_1p_2 -3p_2^2[/tex]
[tex]R = 150 * 25 + 200 * 25 -2 * 25^2 - 2 * 25 * 25 - 3 * 25^2[/tex]
[tex]R = 4375[/tex]
The maximum revenue is #4375
The maximum possible revenue is 4375.
How to calculate the revenue?From the information given, the following can be deduced:
Q₁ = 150 - 2P₁ - P₂
Q₁ = 150 - 2P₁ - P₂Q₂ = 200 - P₁ - 3P₂
The total revenue will be:
R = P₁Q₁+ P₂Q₂
R = P₁(150 - 2P₁ - P₂) + P₂(200 - P₁ - 3P₂)
R = 150P₁ + 200P₂ - 2P₁² - 2P₁P₂ - 3P₂²
To maximize, differentiate it in both the direction of P₁ and P₂.
d/dP₁ = 150 - 4P₁ - 2P₂
d/dP₂ = 200 - 2P₁ - 6P₂.
Solving for P₁ goes thus:
4P₁ = 150 - 2P₂
Divide through by 4
P₁ = 37.5 - 0.5P₂
Since 200 - 2P₁ - 6P₂ = 0
200 - 2(37.5 - 0.5P₂) - 6P₂ = 0.
P₂ = 25
Therefore, the revenue will be:
= 150P₁ + 200P₂ - 2P₁² - 2P₁P₂ - 3P₂²
= (150 × 25) + (200 × 25) - (2 × 25 × 25) - (3 × 25²)
= 4375
In conclusion, the revenue is 4375.
Learn more about revenue on:
https://brainly.com/question/25623677
Which sign makes this number sentence true?
|866| __ |-866|
A. >
B. <
C. =
D. +
Answers
Answer:
>
Step-by-step explanation:
Answer:
c for me
Step-by-step explanation:
hope that helps you
Help me out
Answer required
Answers
Answer:
a. rational
b. irrational
c. irrational
d. rational
e. rational
f. rational
plz mark me as brainliest
[tex] 1)\displaystyle{} \: \sqrt{4} = \sqrt{2 \times 2} = \sqrt{2} \\ \: \: \: \bold{irrational \: number}[/tex]
[tex]2) \displaystyle{} \: \sqrt{3} = \bold{irrational \: number}[/tex]
[tex] \sqrt{7} \: \: = \bold{irrational \: number}[/tex]
[tex] 3) \: \: \displaystyle \frac{3}{5} \bold{irrational \: number}[/tex]
[tex] \displaystyle \: \frac{3}{5} \: \bold{rational \: number}[/tex]
[tex] \displaystyle{}\frac{1}{4} \bold{rational \: number}[/tex]
[tex] \displaystyle{} \: - 2.57 \: \bold{rational \: number}[/tex]
Note - if digit have root ( radical sign ) so number is irrational but digit have do not radical sign so number is rational.
andrew, who is about 120 cm tall, notices that when he stands at the bottom of his garden, which is 20 meters away from his house, his dad, who is 180 cm tall, looks as big as the house when he is about 2.5 meters away. How high is the house ?
Answers
Answer: http://gestyy.com/eyLImX
Step-by-step explanation: go here
Walmart is selling
school supplies: 5
notebooks only cost
$4.02! How much
would znotebooks
cost? What about 7
notebooks?
Plz help! :)
Answers
Answer:
2 notebooks are $2.48, 7 notebooks are $8.68
Step-by-step explanation:
Unit rate is 1.24
1.24x2= $2.48
1.24x7= $8.68
Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
3,4,6
Acute
Obtuse
Right
Answers
Please help me with the question
Answers
Answer:
area = 84 m²
Step-by-step explanation:
area = (1/2)(4)(3)(2) + (5)(6) + (6)(3) + (4)(6) = 84 m²
