Answer:
b = b2-4ac
= (-7ab)^2 -4 (6a^2)(-3b^2)
= 49a^2b^2 + 72a^2b^2
= 121a^2b^2
Now, x = (7ab +- root 121a^2b^2)÷2(6a²)
= (7ab +- 11ab ) ÷ 12a²
= ( 20ab)/12a² or 4ab/12a²
= 5/3ab or - 1/3ab .
So, these are its roots .
Step-by-step explanation:
Which of the following is the equation for the line perpendicular to the line y=−x+20 that passes through the point (−4, 2)?
A)Y = -x + 6
B)Y = x - 2
C)Y = x + 6
D)Y = -x - 2
Which ratio below is proportional to the ratio 5/6?
help me :(
Answer:
25/30
Step-by-step explanation:
simplify 25/30 by dividing both number by 5, and you'll get 25/5 = 5 and 30/5 = 6;
Hence 25/30 is the same as 5/6 proportionally
Geometry, any guesses? I missed a few days so I’m completely lost :(
what is the mean of the data set? 61, 38, 40, 53
Answer:
48Step-by-step explanation:
Mean = Sum of all values/ total no of data
[tex]\frac{61+38+40+53}{4} \\\\= \frac{192}{4} \\\\=48[/tex]
Write the equation of a line perpendicular to 8x - 7y= -6 that passes through the point (-8,6).
The equation of the line is y=
Answer:
y= -7/8x – 1
Step-by-step explanation:
the first equation would be y= 8/7 + 6/7the perpendicular slope would be -8/7and I solved for b by plugging in what I know for y=mx+bwhich is 6= -7/8(-8) + bsimplify so 6 = 7 + bsubtract 7 on both sides to get b = -1Exercice 3
Une société propose sur le marché trois formats de cônes glacés : le grand, d'un volume de
720 mL, le moyen et le petit.
a) Le cône moyen est une réduction du grand dans le rapport 75 %. Calculer son volume.
b) Le petit cône est une réduction du grand cône dans le rapport 50 %.
Marie affirme : « Le volume du petit cône est deux fois plus petit que celui du moyen >>
Qu'en pensez-vous ?
Exercice 4
Le volume d'une boule lyonnaise est environ 378 cm! Son diamètre est le triple de celui du
<< but >>
Calculer une valeur approchée du volume du but.
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which is a unit rate? plis help :c
Answer:
6 hours : 1 book
Step-by-step explanation:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as a price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
A rectangle has coordinates A(-4,3). B(0,0), C(6,8) and D(2,11)
Answer:
what is the question
Step-by-step explanation:
please help 8(10+8)
Answer:
its 180.... that's the answer
Answer:
it is 80 + 64
Step-by-step explanation:
All you have to do is multiply 8 by the numbers inside the parenthesis
Natalie just invited 100100100 guests to a party in her small house. The base of her house is a rectangle with dimensions 8\text{ m}8 m8, start text, space, m, end text by 16\text{ m}16 m16, start text, space, m, end text. It's a good thing she didn't invite the fire marshal to the party! Move points to create an outline of Natalie's house on the grid below.
Question attached
Answer and explanation:
Please find answer and explanation attached
Answer:
6 by 12
Step-by-step explanation: Khan Academy
Help!!!! Having trouble finding the answer any help would be good
Answer: The slope is 3/2 or 1.5
Step-by-step explanation:
The line is going through the origin meaning that the slope will be the coordinate of one of the points divided by its y coordinate.
One point that can be found on the line is (2,3)
Divide the y coordinate by the x coordinate to find the slope.
The y coordinate is 3 and the x coordinate is 2.
3/2 = 1.5
The slope is 3/2 or 1.5.
the value of f(2) for the function f(x)=2x+1
What is the equation of the line that passes through the point (-6,4)(−6,4) and has a slope of -\frac{5}{6}−
6
5
?
Answer:
y - 4 = -5/6(x + 6)
Answer:
y-4=3/2(x+4)
Step-by-step explanation:
What is the slope of the line with equation y-3=-1/2(x-2)
Answer:
-1/2
Step-by-step explanation:
(h, k) --> point
m ---> slope
y - k = m (x - h)
Answer:
-1/2
Step-by-step explanation:
I got it right on EDGE
HELP PLEASE
BRAINLIEST IF CORRECT
Answer:
1. 7 and 8
2. Pi so the second one
3. between the square root of 6 and the square root of 25
4. the only one left, which is the top one. I am in honors algebra. TRUST ME BROS
Step-by-step explanation:
1/8k + 80= 1/2k + 120= ?
I need some help pls
1/8k + 80 = 1/2k + 120
Step 1: Subtract 1/2k from both sides.
1/8k + 80 - 1/2k = 1/2k + 120 - 1/2k
-3/8k + 80 = 120
Step 2: Subtract 80 from both sides.
-3/8k + 80 - 80 = 120 - 80
-3/8k = 40
Step 3: Multiply both sides by 8/(-3).
(8/-3) x (-3/8k) = (8/-3) x (40)
Answer: k = -320/3 or −106.667
Jada is putting a border around her rectangular garden. The garden is 12.63 meters long and 3.28 wide. Jada estimates the perimeter of her garden by rounding the length and width to the nearest whole number. What equation shows her estimate?
Answer: 12.63 rounded to 13 and 3.28 rounded to 3 the perimeter is 32
Step-by-step explanation: If you need any more help Im
usually available between 9a.m - 3:50 pm
Answer
Part A: C
Part B: B
Part C: 15.91
Step-by-step explanation:
first round the 2 numbers by the tenths. Then round the numbers by ones(whohle number). After that, since ther are four sides we do 12.63 + 3.28 + 12.63 + 3.28 which equals to 15.91.
Which equation represents a line which is parallel to the line 7x-5y=-30?
Answer:
Y=7/5x+8
Is the answer to question don't ask me how I know I cheated
The equation y = 7x/5 + b represents a line which is parallel to the line 7x-5y=-30.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
We have an equation,
7x-5y=-30
Simplifying,
y = 7x/5 + 30/5
y = 7x/5 + 6.
The general formula of line parallel to a given line is,
y = 7x/5 + b, where b is the y-intercept of the line.
Therefore, y = 7x/5 + b is the required line.
To learn more about the slope;
brainly.com/question/3605446
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What is 2
1
4
·
9
5
?
Answer:
20,330
Step-by-step explanation:
214 times 95 is 20,330.
1. I think the answer is 5/50 am I correct?
2. How do I write the answer in y=Kx
PLEASE ANSWER
Answer:
5 x plus 50 I think but you ate right about it
Answer:
1. I think the answer is 5/50 I’m currect
CAN SOMEONE ANSWER MY QUESTIONS PLSSS
Tran earns $16 per hour and is paid a flat fee of $46 each week. At
the end of the week her total salary can be represented by the
equation y=16x + 46, where x is the number of hours, and y is the
total weekly salary. Write this relationship in functional notation, as a
function S(h), where S(h) represents the salary for h number of hours.
Answer:
[tex]S(h)=16h+46[/tex]
Step-by-step explanation:
We just need to substitute the variables here! You already have the equations so instead of [tex]x[/tex] for hours, we use [tex]h.[/tex] And since it's a function the result is not [tex]y[/tex] but rather [tex]S(h)[/tex].
So we get the answer of: [tex]S(h)=16h+46[/tex]
What is the amount shaded in as a decimal?
Answer:
write the following shaded amount as a decimal.
Step-by-step explanation:
the answer will be 1.56 because the whole first block is 100 so think about it as 1.00. the other block only has 56 shaded so 0.56 all u have to do is put it together 1.00 + 0.56= 1.56. first just count all the blocks in one then go on to the other block then u can go on to the next step.
Answer:
write the following shaded amount as a decimal.
Step-by-step explanation:
the answer will be 1.56 because the whole first block is 100 so think about it as 1.00. the other block only has 56 shaded so 0.56 all u have to do is put it together 1.00 + 0.56= 1.56. first just count all the blocks in one then go on to the other block then u can go on to the next step.
Step-by-step explanation:
Rena is building a 1:180 scale model of a real castle. Her model has a rectangular base that is 3 feet wide and 4 feet long. What is the area of the base of the actual castle in square feet?
Answer:
123324
Step-by-step explanation:
What is the distance between the two endpoints in the graph below? If
necessary, round your answer to two decimal places.
(3,5)
O A. 13.46 units
B. 11 units
C. 10 units
66,-6)
D. 14.21 units
Answer:
14.21
Step-by-step explanation:
It's actually 14.21 on A p E x
A number increased by 27 is 233. Find the number.
Answer:
206
Step-by-step explanation:
233 - 27 = 206
SOMEONE PLEASE HELP I need the answer AsAP
Answer:
it is d
Step-by-step explanation:
Kai took five tests this semester. His scores are listed below.
92, 88, 90, 96, 84
What is the mean absolute deviation of Kai's test scores?In decimals
Answer:
3.2 0w0, hope this helps!
Step-by-step explanation:
I did this before
The mean absolute deviation of kai's test scores is 3.2.
What is mean absolute deviation?
The mean absolute deviation of a dataset is the average distance between each data point and the mean.
According to the given question
We have
the given data 92, 88, 90, 96, 84
For calculating mean absolute deviation
we will first calculate mean
mean = [tex]\frac{92+88+90+96+84}{5} =\frac{450}{5} = 90[/tex]
Now we will calculate the distance between each data point and the mean :
|92 -90| =2|88-90| =2|90-90| =0|96-90| = 6|84 -90| = 6Add the distances together
2+2+0+6+6 = 16
Divide the sum by number of data points.
MAD( mean absolute deviation ) = [tex]\frac{16}{5} =3.2[/tex]
Hence, the mean absolute deviation of Kai's test scores is 3.2.
Learn more about the mean absolute deviation here:
https://brainly.com/question/10528201?referrer=searchResults
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2. One action figure sells for $3.50 How many action figures can Sergio buy for $20.00?
Answer:
He can buy 5
Step-by-step explanation:
To find the answer, you have to do divide 3.50 and 20. You get 5.714285714. You can't round up, since you are dealing with money, so round down to 5.
Hope this helps :)
Step-by-step explanation:
One action figure can be shown as x so x=$3.50.
Sergio has $20.00 so the equation is 20.00÷3.50 = number of x's Sergio can buy.
20÷3.50 =5 2.5/3.5
So x=5 2.5/3.5
Plz click thanks and give this question a 5 star rating if it is correct. Thx!
A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 600 600 viruses would differ from the population proportion by greater than 3% 3 % ? Round your answer to four decimal places.
Answer:
The probability is [tex]P(|p-\^{p}| > 0.03) = 0.0040[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.07[/tex]
The mean of the sampling distribution is [tex]\mu_p = 0.07[/tex]
The sample size is n = 600
Generally the standard deviation is mathematically represented as
[tex]\sigma_p = \sqrt{\frac{p (1 -p)}{n} }[/tex]
=> [tex]\sigma_p = \sqrt{\frac{0.07(1 -0.07)}{600} }[/tex]
=> [tex]\sigma_p = 0.010416 [/tex]
Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as
[tex]P(|p-\^{p}| > 0.03) = 1 - P(|p -\^{p}| \le 0.03)[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(-0.03 \le p -\^{p} \le 0.03 )[/tex]
Now add p to both side of the inequality
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P( 0.07-0.03 \le \^{p} \le 0.03+ 0.07 )[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(0.04 \le \^{p} \le 0.10 )[/tex]
Now converting the probabilities to their respective standardized score
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(\frac{0.04 - 0.07}{0.010416} \le Z \le \frac{0.10 -0.07}{0.010416} )[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(-2.88 \le Z \le 2.88 )[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - [P(Z \le 2.88) - P(Z \le -2.88)][/tex]
From the z-table
[tex]P(Z \le 2.88) = 0.9980[/tex]
and
[tex]P(Z \le -2.88) = 0.0020[/tex]
So
[tex]P(|p-\^{p}| > 0.03) = 1 - [0.9980 - 0.0020][/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 0.0040[/tex]