Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - X+5 = 0
Answers
I’m pretty sure that’s correct!
A quadratic equation is written in the form of ax²+bx+c. The roots of the given quadratic equation are shown in options B and F.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The roots of a quadratic equation can be found using the formula,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Given the quadratic equation 3x²-x+5 = 0. Comparing it with the general quadratic equation the value of a, b, and c will be 3, -1, and 5.
Now, if we substitute the values in the formula of the roots of the quadratic equation,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(5)}}{2(3)}\\\\[/tex]
x = (1±√-59)/6
x = (1+√-59)/6, (1-√-59)/6
Hence, the roots of the given quadratic equation are shown in options B and F.
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Related Questions
Somone PLEASE answer this thanks!
A movie complex is showing the same movie in three theaters. In theater A, 44 of the 80 seats are taken. In theater B, 42 seats are taken and 28 seats are empty. In theater C, 27 of the 90 seats are empty. Which theater has the greatest percent of its seats taken? Which theater has the greatest of its seats taken ?
Answers
Answer:
Theater C
Step-by-step explanation:
Theater A has 80 seats, 44 of which are taken. 44/80 can be simplified to 11/20, which is 0.55 in decimal form, and 55% in percent form.
Theater B has 70 seats, because 42+28 = 70. 42 of those 70 seats are taken. 42/70 is 60%
Theater C has 90 seats, and because 27 are empty, we can subtract 27 from 90, which leaves us at 63 seats are taken. 63/70 is 70%
70% is the biggest percentage, so Theater C has the greatest seats taken.
I hope this helps! :))
A muralist is painting the side wall of a building. The wall is shaped like a rectangle that is 60
feet long and has a diagonal length of 68 feet. If a gallon of paint can cover 800 square feet,
how many gallons will the muralist use?
Answers
Answer:
2.4 gallons
Step-by-step explanation:
to answer this question :
we have to determine the width of the rectangle.
determine the area
determine the gallons needed
Pythagoras theorem would be used to determine the width of the wall
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
60² + b² = 68²
3600 + b² = 4624
b = ²4624 - 3600 = 1024
√b = 32
Area of a rectangle = length x width
32 x 60 = 1920
Gallons needed = 1920 / 800 = 2.4 gallons
Evaluate the six trigonometric functions of the angle 0
7
5
sin =
csc =
cos =
sec 0 =
tan A=
cotA=
Answers
Answer:
sin=The sin of an acute angle is defined in the context of a right triangle.
csc= The length of the hypotenuse divided by the length of the side opposite the angle.
cos= The length of the adjacent side divided by the length of the hypotenuse.
sec 0=The ratio of the length of the hypotenuse to the length of the adjacent side is the secant of an angle in a right-angled triangle.
tan A=In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).
cotA= In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side.
Step-by-step explanation:
n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.
Answers
Answer:
Step-by-step explanation:
The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.
Null hypothesis: Vitamin C has no effect on preventing colds.
Alternative hypothesis: Vitamin C has a strong effect on preventing colds.
Assuming, significance level = 0.05
Since the p-value for the difference is 0.03 which is less than 0.05.
Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).
As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.
write the sum 3+3+3+3+3+3 using sigma notation
Answers
Answer:
18
Step-by-step explanation:
The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .
What is sigma notation?A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.
According to the question
The sum 3+3+3+3+3+3
Represent the sum as sigma notation
[tex]\sum_{i=1}^{6}3[/tex] start at 1 and goes up to 6
= 3+3+3+3+3+3
Hence, the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .
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PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
"Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line."
YXZ and TUS
An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
Answers
Answer:
it takes 3 hour
Step-by-step explanation:
ypir welcome
Samantha opened a savings account and deposited $200.00. The account earns 10% interest, compounded monthly. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?
Answers
Answer:
200(1.10^1)
Step-by-step explanation:
Brainliest for correct answer asap
Answers
Answer:
its the first one. Times the bigger numbers and add the indices. so it 16^7
Answer: A 16(7)
Step-by-step explanation:
First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.
A grain dealer sold to one customer 5 bushels of wheat, 2 of com, and 3 of ryo, for $228: to another, 2 of wheat, 3 of corn, and 5 of ryo, for $228, and to a third, 3 of wheat, 5 of com, and 2 of rye, for $228. What was the price per bushel for com?
Answers
Answer:
2.30 :) hope this helps!!!!!!! :)
Step-by-step explanation:
w = wheat c = corn r = rye
6w + 3c + 6r = 45.90
3w + 6c + 6r = 49.20
6w + 6c + 3r = 41.40
since you want the answer for c, manipulate then add 2 equations that will get rid of 1 variable:
if we multiply the first equation by -1 then add it to the second equation, it will eliminate the r
-6w - 3c - 6r = - 45.90
3w + 6c + 6r = 49.20
------------------------------------
- 3w +3c = 3.30 or w - c = - 1.10
If we multiply the 3rd equation by -2 then add it to the first equation, it will eliminate the r again:
-12w - 12c - 6r = - 82.80
6w + 3c + 6r = 45.90
------------------------------------------
- 6w - 9c = - 36.90 or 2w + 3c = 12.30
now we have 2 equations and 2 variables that we can solve by substitution:
w = c - 1.10
2(c - 1.10) + 3c = 12.30
2c - 2.20 + 3c = 12.30
5c = 14.50
c = 2.90
w = c - 1.10 or 1.80
3r = 41.40 - 6(1.80) - 6(2.90)
3r = 13.20 r = 4.40
I will pick the 2nd equation to check my answers :)!
3(1.80) + 6(2.90) + 6(4.40) = 49.20
5.40 + 17.40 + 26.40 = 49.20
As per linear equation, the price per bushel for corn is $22.8.
What is a linear equation?A linear equation is an equation that has one or multiple variable with the highest power of the variable is 1.
Given, a grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $228.
To another customer, he sold 2 of wheat, 3 of corn, and 5 of rye, for $228.
To a third customer, 3 of wheat, 5 of corn, and 2 of rye, for $228.
Let, per piece of wheat is of $x.
Per piece of corn is of $y.
Per piece of rye is of $z.
Therefore, 5x + 2y + 3z = 228 ....(1)
2x + 3y + 5z = 228 .........................(2)
3x + 5y +2z = 228 ..........................(3)
Multiplying equation(1) by '2' and equation(2) by '5' and substract, we get:
2(5x + 2y + 3z) - 5(2x + 3y + 5z) = 2(228) - 5(228)
⇒ (10x + 4y + 6z) - (10x + 15y + 25z) = - 3(228)
⇒ (- 11y - 19z) = - 684
⇒ 11y + 19z = 684 ......(4)
Multiplying equation(2) by '3' and equation(3) by '2' and substract, we get:
3(2x + 3y + 5z) - 2(3x + 5y +2z) = 3(228) - 2(228)
⇒ (6x + 9y + 15z) - (6x + 10y + 4z) = 228
⇒ - y + 11z = 228 .......(5)
Now, multiplying equation(5) by '11' and then add with equation (4), we get:
11y + 19z + 11(- y + 11z) = 684 + 11(228)
⇒ 140z = 3192
⇒ z = 22.8
Putting the value of 'z' in equation (5) we get:
- y + 11(22.8) = 228
⇒ y = 22.8
Now, putting the values of 'y' and 'z' in equation (1), we get:
5x + 2(22.8) + 3(22.8) = 228
⇒ 5x = 114
⇒ x = 22.8
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-8(n-5)= -2(4n+11)
SOMEONE PLEASE SOLVE IT PLEASEEEE
Answers
Answer:
Use papa math
Sophie needs to determine the amount of water that will fit into her new vase, shown below.
Which combination of geometric shapes can she use to best estimate the vase's volume?
A cone and a hemisphere
A cylinder and a sphere
A truncated cone and a sphere
A truncated pyramid and a hemisphere
Answers
Answer:A truncated cone and a sphere
Step-by-step explanation:
I just did it.
The combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.
Sophie needs to determine the amount of water that will fit into her new vase, as shown below.
What is the volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
We have to determine the combination of geometric shapes can she use to best estimate the vase's volume.
Therefore the combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.
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I WILL GIVE BRAINLIEST!!! In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex]
[tex]\angle A = 10[/tex]
[tex]\angle B = 145[/tex]
Required
Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]
The question is incomplete as the other triangles to make comparison from, are not given.
However, general information that could help you are as follows.
The given parameters show that we have to consider AA criterion for selecting similar triangles.
So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.
Take for instance.
[tex]\triangle DE\ F[/tex]
Where
[tex]\angle D = 10[/tex]
[tex]\angle E = 145[/tex]
See that:
[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]
[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]
This means that:
[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA
Answer:
The answer is the 10 degrees on and 25 degreees
Step-by-step explanation:
AP EX
a theater has 49 seats in the first row, 52 seats in the second row, 55 seats in the third row, and so on. how many seats are there in row 20
Answers
Answer:
106
Step-by-step explanation:
this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1) where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference
a(20) = 49 + 3(20-1)
= 49 + 3(19)
= 49 + 57
= 106
An independent-samples t test was conducted to compare high-altitude exercise to exercise at sea-level. Imagine the mean comfort level of participants, rated on a 7-point scale where high values reflect high comfort, at high altitude was 3.5 while the average at sea-level was 5.1. Imagine also that values were calculated for sdifference of 1.1, 2.04 for pooled variance, and 35 for degrees of freedom total. What are the critical cutoffs for this test
Answers
Answer:
-2.03, 2.03
Step-by-step explanation:
The degree of freedom (df) ;
Df total for the two samples = 35
Therefore, obtuaking the critical value using a T-test distribution at 95% confidence level.
(1 - 95%) / 2 = (1 - 0.95) / 2 = 0.05 / 2 = 0.025
Using a T critical value calculator or t table distribution ;
Tcritical, 0.025, df = 35 = 2.03
Left tail = - 2.03
Right = 2.03
Hence, critical cutoff :
(-2.03 ; 2.03)
pls help me forgot how to do this
find the value of x
Answers
Answer:
Step-by-step explanation:
oto begin you should know that all triangles contain 180 degrees and that a flat line contains 180 degrees as well. This means that in order to find this answer you should begin by calculating the remianing angle in the traingle. This is done by 180-(95+51) and gives and angle of 34 degrees. Then take 180-(95+35) in order to get x. This gives an x of 51.
Hope this helps!
Answer:
146°
Step-by-step explanation:
1) 180-51-95 = 34 All the angles in a triangle add up to 180.
2) A straight line is 180, so x = 180 - the interior angle.
3) We figured out in step #1 that the interior angle is 34, so all we have to do now is substitute that into step #2
4) x = 180-34 = 146
Which of the following ratios are equivalent?
O A. 5:7 and 10:12
O B. 2:3 and 12:20
O C. 6:7 and 18:21
O D. 8:9 and 32:27
Answers
Answer:
:::::::::
C. 6:7 = 18:21
answer: it is C
Step-by-step explanation:
6 = 18 because 6 times 3 is 18. And 7 times 3 = 21. so they are both equivalent.
hope it helps :)
1. Solve the inequality. x/8 >4
Answers
Answer:
X > 32
Step-by-step explanation:
Brainliest?
Here are some points. What is 2/5 out of twenty?
Answers
Answer:
8
Step-by-step explanation:
You just need to multiply 20 by 2/5
Or, multiply 20 by 2, then divide by 5.
20 x 2/5
40/5
8
2/5 of 20 = 40/5 or simply, 8.
Have a great day!
Which of the following is not equivalent to 10 divided by 80
10/80
80/10
80 divided by 10
8
Answers
Have a great day :)
Find the common ratio of the geometric sequence 6 , 24 , 96 , . . .
Answers
Answer:
4
Step-by-step explanation:
6 * 4 = 24
24 * 4 = 96
Two dice are tossed. Find the probability of getting the sum of the
dice equal to 4. (Hint: Draw a tree diagram of the possibilities of
two tosses of a die, and then find the sum of the numbers on
each branch.)
Answers
Answer:
3/36 -> 1/12 or 2/36 -> 1/18
Step-by-step explanation:
1+3, 2+2, 3+1 or 1+3, 2+2, no tree diagram needed
If ∆HCN~∆BMD, solve for x.
Answer options:
A.11
B.12
C.13
D.14
PLEASE HELP ASAP THANK YOU!
Answers
Answer:
13
Step-by-step explanation:
This recipe makes 6 portions of fajitas.
Carly has 900 g of chicken, 1200 g of peppers, 150 g of onion, 60 g of spice mix and 30 tortillas.
How much more of each ingredient will she need to make 18 portions by following this recipe?
Recipe: Serves 6
500 g chicken
600 g peppers
90 g onion
25 g spice mix
12 tortillas
Answers
Answer:
She needs:
600 g chicken
600 g peppers
120 g onion
15 g spice mix
6 tortillas
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
Well, first we multiply every ingredient in the recipe amount by 3, because 6 x 3 = 18. Then we’ll subtract what we have from what we need.
500 x 3 = 1500g of chicken
600 x 3 = 1800g of peppers
90 x 3 = 270g of onion
25 x 3 = 75g of spice mix
12 x 3 = 36 tortillas
Chicken: needs 1500, has 900
1500 - 900 = 600g more chicken needed
Peppers: needs 1800, has 1200
1800 - 1200 = 600g more peppers needed
Onion: needs 270, has 150
270 - 150 = 80 g more onion needed
Spice mix: needs 75, has 60
75 - 60 = 15g more spice mix needed
Tortillas: needs 36, has 30
36 - 30 = 6 more tortillas needed
Please let me know if you have any questions.
What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 17 meters, and a length of 13 meters?
Answers
Answer: 3084
Step-by-step explanation: 14•17=238 238•13=3084
Answer:
3094
Step-by-step explanation:
l=13 w=17 h=14
v = L W H
V= ( 13 ) ( 17 ) ( 14 )
V= 3094 meters 3
Your Solution:
V= 3094
find the volume of a box whose length breadth and height are 28 CM 18 cm and 10cm respectively
I will mark them as brainlists all the best
Answers
= 5040
L x W x H
I NEED HELP ASAP HELP HELP HELP....
According to the line plot, what is the total amount of time spent studying by the students who studied for 1/2 of an hour each?
Answers
Answer:
2.5hrs
Step-by-step explanation:
An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?
Answers
Answer:
$43.20 total
$3.20 sales tax
Explication:
40*1.08=43.2
Answer:
sales tax = $3.20
total cost = $43.20
Step-by-step explanation:
To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).
Sales tax percent: 8%
In decimal form: 0.08
Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,
(item_price) * (sales_tax)
= (40) * (0.08)
= 3.2
Sales tax amount: $3.20
To find the total cost of the product, add the sales tax amount to the item price,
(item_price) + (sales_tax_amount)
= 40 + 3.20
= 43.20
I really want to know what 2+2 is.
Answers
Answer:
Step-by-step explanation:
4
Answer:
It's 4 for you and 5 points for me
Step-by-step explanation:
Giving brainliest!!!!!!
Answers
Answer:
Answer should be 6, I think