[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
roots of the quadratic equation ~
[tex]2 \: \: \: \:a nd \: \: - 10[/tex]discriminant ~
[tex]144[/tex]nature of roots ~
[tex]real[/tex]sum of the roots ~
[tex] - 8[/tex]product of the roots ~
[tex] - 20[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve he given quadratic equation using quadratic formula ~
Let's consider the following values ~
b (Coefficient of x) = 8 a (Coefficient of x²) = 1 c (Constant term) = -20According to quadratic formula, the roots are ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]where, ( b² - 4ac ) is known as it's discriminant ~
that is equal to ~
[tex](8) {}^{2} - (4 \times 1 \times - 20)[/tex][tex]64 - ( - 80)[/tex][tex]64 + 80[/tex][tex]144[/tex]Hence, Discriminant = 144
And since discriminant is positive, then the roots of the quadratic polynomial are real .
Let's find the roots now ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex][tex] \dfrac{ - 8 \pm \sqrt{144} }{2 \times 1}[/tex][tex] \dfrac{ - 8 \pm12}{2} [/tex][tex] \dfrac{ 2( - 4 \pm6)}{2} [/tex][tex] - 4 \pm6[/tex]So, the two roots are ~
[tex] - 4 + 6[/tex][tex]2[/tex]and
[tex] - 4 - 6[/tex][tex] - 10[/tex]Sum of roots ~
[tex] - 10 + 2[/tex][tex] -8[/tex]product of roots ~
[tex] - 10 \times 2[/tex][tex] - 20[/tex]In general, as sample size increases: a.the standard error will remain the same regardless of changes in sample size. b.the standard error fluctuates in size. c.the standard error increases in size. d.the standard error is a constant. e.the standard error decreases in size.
Answer:
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
Step-by-step explanation:
Evaluate.
−[−1 2/5÷0.7(1.8)]−2/3
What is the value of the expression?
Enter your answer as a simplified mixed number in the box.
Answer: the answer is 2 14/15
Step-by-step explanation:
The solution of the expressions will be 0.44.
What is Number system?
A system of writing to express the number is called number system.
Given that;
The expressions are,
⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3
Now,
Solve the expression as;
⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3
Using the BODMAS rule to solve the expressions as;
⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3
⇒ −[−1 2/5 ÷ 1.26 ] − 2/3
⇒ - [ - 7 / 5 ÷ 1.26 ] − 2/3
⇒ - [ - 7 / 5 x 1 / 1.26 ] - 2 / 3
⇒ - [ - 7 / 6.3 ] - 2/3
⇒ 1.1 - 2/3
⇒ 1.1 - 0.66
⇒ 0.44
Therefore,
The solution of the expressions will be 0.44.
Learn more about the mathematical expression visit:
https://brainly.com/question/2164351
#SPJ5
the ratio of adult to children in the spot club is 5:3 There are 120 people in the club. how many children are there
Answer:
5:3=8
3/8 x 120
3/1 x 15
3 x 15=45
Step-by-step explanation:
hope this helps
sorry
help asap :)
8 1/4 as a percent
Answer:
Its 8.25% I know this because of history of math in my family
Mrs. Coulter has 3 / 5 yard of ribbon to tie on balloons for the festival. Each balloon will need 3 / 10 yard of ribbon. How many balloons can Mrs. Coulter tie with ribbon
Answer:
I know they are not the same name but they have the same question they are the same answerStep-by-step explanation:
#hope it helps you #happy learningIf the hexagon has a perimeter of 42 what is one of the side lengths
Answer:
7
Step-by-step explanation:
hexagon- six sides, perimeter is the sum of all sides of the shape, so divid the perimeter (42) with the number of sides (6) and you get the length of one side (7)
42/6 = 7
Round 0.008547 to the nearest thousandth :]
Answer:
0.855
Step-by-step explanation:
Brainliest Please!Answer:
Step-by-step explanation:
The first zero in the tenth region
The second zero is in the hundreds region
The 8 is in the 1/1000 so look to the next digit.
It is a 5
So round 1 digit in the thousands higher.
Answer: 0.009
I need help :) pls help me:)
Answer:
A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.
Step-by-step explanation:
not the answer for that but ig this can help u mwa
Answer:
12.15-13.00 is 15 mins
13.00-13.30 is 30 mins
Answer-45 mins
Which equation has the same solution as x^2+16x+13 = 0
A) (x+8) ^2 = -77
B) (x-8) ^2 = 51
C) (x-8) ^2 = -77
D) (x+8) ^2 = 51
[tex]x^2 +16x +13 =0\\\\\implies x^2 + 2 \cdot 8 \cdot x + 8^2 -8^2 +13 =0\\\\\implies (x+8)^2 -64 +13 =0\\\\\implies (x+8)^2 -51 =0\\\\\implies (x+8)^2 =51[/tex]
solve pls brainliest
Answer:
420
Step-by-step explanation:
300+40% equals 420 so he earned 420 last month from the commission
Answer:
$120
Step-by-step explanation:
A 40% commission means he earns 40% of the total revenue. That's 40% of $300 in this case.
To convert from a percentage to a multiplier, divide by 100:
[tex]\frac{40}{100} =0.4[/tex]
Then multiply the total revenue by that number:
[tex]300*0.4=120[/tex]
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!2
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The best option is B.B. The rate of change of the cost of the taxi ride is 3.00 per minute.
very simple ill give brainlist
Answer:
100
Step-by-step explanation:
lxw=a
and 5x2+10, so basically just use the area formula with 10 as the values
Answer:
If each side of the square was doubled then you would have a square of 10 cm on each side
the answer is 100
Step-by-step explanation:
5 * 2 = 10
10 * 10 = 100
Use mental math to find the missing number. Enter your answer in the box.42,000 ÷ = 600
Answer:
7 is the required answer.
Step-by-step explanation:
4200 ÷ 7 = 600
Time(h)
Distance (mi)
12 3 4 5
14 26 38 50 62
The table shows Eli's distance from home as he
rides his bike at a steady rate after meeting a
friend. Write an equation in slope-intercept form
that represents the miles, y, that Eli goes in x hours.
y = 12x + 2
y = 2x + 2
y = 12x + 12
y = 2x + 12
Answer:
y = 12x + 2
Step-by-step explanation:
To know:
[] These equations are in y = mx + b form
() Also known as slope-intercept form
() m is the slope
() b is the y-intercept
Now, let's solve
[] Slope / m
() Slope is "change in y over change in x," let hours be our x and distance by our y
() [tex]\frac{62 - 14}{5 - 1}=\frac{48}{4}=12[/tex]
[] Y-intercept / b
() We will plug in a set of points into our current equation, then solve for b
() y = mx + b -> y = 12x + b -> 14 = 12(1) + b -> 14 = 12 + b -> 2 = b
Last, we will find our answer
Our b is 2, and our m is 12. This leaves us with option 1, y = 12x + 2
Have a nice day! - table I made is attached
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
PLEASE HELP!!!!!!!!!!!!!!!!!!!!
Answer:
I think it's c
Step-by-step explanation:
because that looks like a good answer.
Which point is a solution for the inequality 3x – 2y < 5
a (3, 2)
b (2, 3)
c (5, 2)
d (8, 5)
how do I solve this?
Please help me
RIGHT ANSWERS ONLY
Answer:
90 adults
Step-by-step explanation:
Let's make this an equation
We can add 5+3 giving us 8
Let's make it 8x=144
Solve for x
Divide 8x by 8 = 1x
144 ÷ 8 = 18
Now since we're looking for the adults we multiply by 5
18*5=90 adults
I just need help with these 3
Answer:
1) 11c
2) 9m - 14
3) 4x - 5
-----
4) x = 4
5) x = 2
Step-by-step explanation:
1)
10c + c
11c
2)
5m + 2( 2m - 7 )
5m + 4m - 14
9m - 14
3)
6x - ( 2x + 5 )
6x - 2x - 5
4x - 5
-----
4)
3x + 7 = -5
3x = 12
x = 4
5)
18 = 4x + 10
8 = 4x
2 = x
Hopefully this helps!
Brainliest please?
Answer:
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME!! this is like my 4th time trying to re-answer this question so PLEASE help!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
Answer:
go to https://www.rcboe.org/cms/lib010/GA01903614/Centricity/Domain/1030/Ch.%203.3.pdf
Step-by-step explanation:
i think that will help
..................................
HELP ASAP!!!
x3+y3+z3
Answer:
= k
Step-by-step explanation:
PLEASE HELPPP RUNNING OUT OF TIMMEE
Two shops sell baked beans in different sized tins. Calculate the price per 1.25 kg for shop B. Give your answer in pence.
Shop A) 1.25kg for £4.85
Shop B) 250g for £0.88
Step-by-step explanation:
come on !
250g = 0.250kg = 0.25kg
now compare 1.25 kg with 0.25kg.
how many times of 0.25 is 1.25 ?
it is the same as 25 to 125.
5 times (4 times 25 is 100, and then one more time).
so, you need to multiply also the price by 5 to get the price per 1.25kg.
so, 0.88×5 = £4.40 = 440 pence per 1.25kg.
ang Find any three rational numbers between 2 and 3
Answer:
5/2, 9/4 and 19/7.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not = 0).
What is r(-4)=(-4+1)(-4-3)? It’s apart of evaluating functions.
Answer:
21
Step-by-step explanation:
r=-5.25 btw
i need to know the answer to number one
Answer:
If the slope of the line is 3, it either decreases or increases by 3 everytime. (3x) If the y-intercept is 0, then when the line intercepts with the graph, it will intercept with (0, 0)
Step-by-step explanation:
Basically, the slope means how much the line increases or decreases. The y-intercept means where the line will intercept or start on the y-axis. If the y-intercept was 5, it would be (0, 5)
If ∠ABC and ∠DBF are vertical angles we can conclude...
Answer:
We can conclude they are congruent
Step-by-step explanation:
Because of the vertical angles theorem
Line m passes through points (10, 7) and (3, 4). Line n is parallel to line m . What is the slope of line ?
Answer:
The slope is 3/7 or ~0.43
Step-by-step explanation:
The equation for slope is y2-y1/x2-x1
7-4=3
10-3=7
3/7=0.428
plz help will mark as brainliest
Answer:
B po? I'm not sure ehh hehehe
Answer:
18
Step-by-step explanation:
2y+3y+5y=180
10y/10=180/10
Y=18
please help me!!!! trying to catch up over break :P
Answer:
Fast Freddy can go 15 miles per hour which is 4 minutes per mile
Speedy Sam can go 7.5 miles per hour which is 8 minutes per mile
Fast Freddy ran faster because he went 15 mph which is double the speed of Speedy Sam.
Step-by-step explanation:
Speedy Sam: So, we can find how fast per mile, by multiplying 4 by 2 because, it takes 4 minutes to go 1/2 of a mile, so double it to make a full mile. So the rate is 8 minutes per mile for Speedy Sam. If you wanted to calculate miles per hour, it would be 7.5 miles per hour because, you would simply take 60 minutes, an hour, and divide it by 8 minutes per mile, to get 7.5 miles per hour.
Fast Freddy: We can right away notice that after one mile, it hits 4 minutes. Making the rate 4 minutes per mile. To find the miles per hour, we would do, 60 minutes divided by 4 minutes per mile to get 15. Meaning fast freddy goes 15 miles per hour
Which of the following fractions has a repeating decimal expansion (other than repeating zero)
A 17/20
B 17/25
C 17/3
D 17/22
Answer:
C
Step-by-step explanation:
→ Immediately remove option A and B from the list as they convert to non recurring decimals
Option C or D are both recurring