Answers
Step-by-step explanation:
this is one of the formulas you should remember for life :
the general solution for a quadratic equation
ax² + bx + c = 0
is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case that is
x = (-4 ± sqrt(4² - 4×1×-1))/(2×1) = (-4 ± sqrt(16 + 4))/2 =
= (-4 ± sqrt(20))/2 = (-4 ± sqrt(4×5))/2 =
= (-4 ± 2×sqrt(5))/2 = -2 ± sqrt(5)
x1 = -2 + sqrt(5) = 0.236067977...
x2 = -2 - sqrt(5) = -4.236067977...
so, the negative solution is the x2 solution :
-4.236067977...
I don't know to how many decimal positions you are supposed to round. it is not specified in your problem definition.
Related Questions
Jay rides 30 miles in 2 hours. How many miles per hour (mph) does he ride?
Answers
Answer:
15 mph
Step-by-step explanation:
30÷2=15
Answer:
I believe 15 mph
Step-by-step explanation:
He rides 30 miles in 2 hours and we need to find how much in ONE hour so just divide 30 by 2 which should give you 15 miles per hour.
30/2=15
15 (mph)!~
OMG PLEASE, I NEED HELP! I am not understanding this topic or what to do. If you know the answer than comment down below :)
Answers
in column 1 is the number outside the bracket and the addition or subtraction of the number inside the bracket
first in column 2 you will multiply the number that is outside the bracket
in column 3 that is when I give the number outside the bracket multiply by the number inside the bracket
in column 4 this is when you have finished multiplying the numbers you minus or add them to give ur final answer
column 5 is your final answer :-)
A startled armadillo jumps straight into the air with an initial vertical velocity of 14ft / s . After how many seconds does it land on the ground? Use the equation - 16t ^ 2 + Vt + h . Round your answer to the nearest hundredth. The armadillo lands back on the ground after seconds.
Answers
Using the given equation, it is found that it lands on the ground after 0.875 seconds.
What is the equation for the projectile's height?It is given by:
[tex]h(t) = -16t^2 + vt + h[/tex]
In which:
v is the initial velocity.h is the initial height.In this problem, considering that the projectile jumps straight into the air with an initial vertical velocity of 14 ft/s, the parameters are v = 14 and h = 0, hence:
[tex]h(t) = -16t^2 + 14t[/tex]
It lands on the ground when h(t) = 0, hence:
[tex]-16t^2 + 14t = 0[/tex]
[tex]t(-16t + 14) = 0[/tex]
Then:
[tex]16t = 14[/tex]
[tex]t = \frac{14}{16}[/tex]
[tex]t = 0.875[/tex]
It lands on the ground after 0.875 seconds.
More can be learned about equations at https://brainly.com/question/25537936
Type the correct answer in the box. Use numerals instead of words. Erika and Rita have added a 1-mile walk to their daily exercise schedule. The table lists the time each of them took to walk the 1-mile distance over the past five days. Erika’s Time (in minutes) Rita’s Time (in minutes) 20 21. 25 21. 5 24. 75 22. 75 23 23. 25 23 20. 25 20. 75 On average, it takes Erika about minute(s) per mile less than Rita.
Answers
Answer:
The answer is 1.2
Step-by-step explanation:
It takes Rita 22.75 on average, and it take Erika 21.55 to walk the mile on average.
21.55 + 1.2 = 22.75
therefore, it takes Erika 1.2 minutes per mile less than Rita.
On average, Erika is much slower than Rita by 1 minute.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Since, There are two sets of data: Erika's and Rita's.
Now, we have to find the average values for each of both and compare them.
We would assume that the order of the presentation of data points is alternating,
first for Erika followed by Rita.
Hence, To illustrate what I mean, let's say
in Day 1, Erika's time is 20 and Rita's time is 21.25.
In Day 2, Erika's time is 21.5 and Rita's is 24.75.
And so on and so forth.
So, We get;
Erika's average is,
= (20+21.5+22.75+23.25+20.25)/5
= 21.55
Rita's average is,
= (21.25+24.75+23+23+20.75)/5
= 22.55
Hence, On average, Erika is much slower than Rita by 1 minute.
Learn more about the addition visit:
https://brainly.com/question/25421984
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I will give you 40 point plus Brainliest!!!
You have opened a jar of 250 toothpicks, and want to see how many pyramid levels you can make.
Answers
Please help! Problem is below!
Answers
Answer:
1
Step-by-step explanation:
remember that [tex]|a| = a[/tex]if a is positive or zero, and [tex]|a| = -a[/tex]if a is negative.
[tex]4-| |14|-11| = 4-|14-11| = 4-|3| = 4-3 = 1[/tex]
Rewrite the following equation in slope-intercept form.
3x − 11y = 19
Answers
Answer:
y = 3/11(x) - 19/11
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
[tex]3x-11y-3x=19-3x[/tex] [tex]-11y=-3x+19[/tex]Step 2: Divide both sides by -11.
[tex]-11y/-11=(-3x+19)/-11[/tex] [tex]y=\frac{3}{11}x-\frac{19}{11}[/tex]Therefore, the answer is y = 3/11(x) - 19/11.
Which expression is equivalent to 5(2n 1)? 2n 1 2n 5 10n 1 10n 5.
Answers
Expression has numbers, variables, and mathematical operations. The expression 5(2n+1) is equivalent to 10n+5.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As the expression is given to us, therefore, if we expand the expression it can be written as,
[tex]5(2n+1)\\\\=(5 \times 2n)+(5 \times 1)\\\\=10n+5[/tex]
Hence, the expression 5(2n+1) is equivalent to 10n+5.
Learn more about Expression:
https://brainly.com/question/13947055
(e) Elena wants to make sure she bought a total of 5 fruits, one for each school day. What would be the combination she should buy?
(f) Let b be the number of bananas and a be the number of apples. Write the equation that
represents: "the number of bananas and the number of apples must add up to 5”
Answers
Answer:
10 fruit maybe
explanation:CORRECT ME IF I'M WRONG
What is the principal solution to the equation?
x^2=121
Pls explain for brainliest and a like
1.step by step
2. correct answer
3. clearly explained
Answers
Answer:
x = 11
Step-by-step explanation:
[tex]x^{2}[/tex] = 121
This means that 'x' × 'x' = 121
To know the value of x, we need to find the root of 121.
[tex]\sqrt{121}[/tex] = 11
If u mutiply 11 x 11 , you get 121.
Thus, x = 11
Answer:
x = 11, -11
use the formula: [tex]\sf a^2 = b[/tex] ➳ [tex]\sf a = \sqrt{b}, \ a = -\sqrt{b}[/tex]
[tex]\hookrightarrow \sf x^2=121[/tex]
changing the sides, changes square ( ² ) to square root ( ±√ )
[tex]\hookrightarrow \sf x=\pm \sqrt{121}[/tex]
[tex]\hookrightarrow \sf x=\sqrt{121},\:x=-\sqrt{121}[/tex]
[tex]\hookrightarrow \sf x=11,\:x=-11[/tex]
In a restaurant a service charge of 10% is added to the price of the meal. What will be the total bill, when service charge is added, for a meal costing $78?
Answers
Answer:
$85.8
Step-by-step explanation:
10% of 78 = 7.8
78 + 7.8 = $85.8
Hence when service charge is added for $78 meal it will be $85.8
What is the measure of angle J in the triangle below? options
a)99⁰
b)42⁰
c)9⁰
d)48⁰
Answers
PLEASE HELP ME!!! I WILL GIVE BRAINLIEST!!!!!
It is 3:13 when Lavender gets home from school. She works on her homework, and by the time she finishes math, the clock says that it is 4:37. How much time has passed?
Answers
Answer:
84 minutes
Step-by-step explanation:
Lavender has worked:
- from 3:13 to 4. That is 47 minutes, and
- from 4:00 to 4:37. An additional 37 minutes.
Total minutes: (47 + 37) = 84 minutes
============
Also, (84 minutes)(1 hour/60 minutes) = 1.4 hours
What is the slope of the line that passes through the points (-8,-6) and (-8, 4)?
Write your answer in simplest form.
Answers
Answer:
Slope is undefined
Step-by-step explanation:
To find the slope, subtract the y's and put that on top of a fraction. Then subtract the x's and put that on the bottom of the fraction.
This works all the time for any two points.
Here, though, we find the top
4 - -6
= 4 + 6
= 10
10 would go on top.
But then, on the bottom we get
-8 - -8
= 0
We get zero. As you know, you CANNOT have zero on the bottom of a fraction.
For the slope calculation we get 10/0
The slope is undefined.
Also, if you graph these two points, it's a verticsl line. Vertical lines (up and down) have an undefined slope.
A newly opened juice shop earned a profit of $2,400 in the first month. For the remaining months of the year, the expected profit is modeled by the function J(t) = 2.5t + 1,250, where t is the number of months after the first month the shop opened.
Create a function, P(t), that describes the total profit earned for the entire year.
P (t) =
Answers
First month's profit of the company = $2,400.
After the first month, the profit is modeled by the function
J(t) = 2.5t + 1,250, t is the number of months after the first month the shop opened.
Now, P(t) describes the total profit earned by the company.
So, P(t) = (Profit earned from first month) + (Profit earned from remaining 11 months of the year)
= 2400 + (2.5t + 1250)
= 2.5t + 3650
Hence, total profit earned for the year = 2.5t + 3650.
please help me, include an explanation if possible!
Answers
Answer:
(10, 18)
Step-by-step explanation:
y=2x-1
*x value*
AC=2AB
2c=2(2)(5)
2c=4(5)
2c=20
c=10
*y value*
AC=2AB
3c=2(3)(9)
3c=6(9)
3c=54
c=18
Find the length of side
x
x to the nearest tenth.
Answers
Answer: 3.5
Step-by-step explanation:
HELPPP FOR BRUANLEST!!!
Answers
Answer:
2/15
Step-by-step explanation:
slow heart rate and blue eyes (2) over total (15)
2/15 doesn't simplify
Answer:
13/100 is my final answer
Step-by-step explanation:
First, in order to get blue eyes, you need to be part of 40% thats not much but not little either. Then in order to get A fast heart rate out of that, you need to be part of the 26% out of 40% and that leaves you with 13 to 14 %.
I say 13 to 14 because both the 13 and 26 % came from a decimal that went on forever but due to rounding it can be 27 gets fast heart rate with 13 percent gets slow heart rate and blue eyes or 14 gets it and 26 gets faster
Hope this helped.
A brainliest is always appreciated.
help me, please !!!!!
Answers
Answer:
Step-by-step explanation:
what's an easy way to turn a fraction into a percent?
Answers
Answer:
Step-by-step explanation:
divide the numerator by the denominator (of the fraction). take that answer and multiply it by 100 and that is ur percent
hope that makes sense
~Shoto Todoroki here~
Answer:
1. Use division to convert the fraction to a decimal.2.Multiply by 100 to get percent value.Step-by-step explanation:
hope this helps :D
What is the slope of the line represented by the equation f(t)=2t−6?
a
The slope is 2 and the y-intercept is −6.
b
The slope is −6 and the y-intercept is 2.
c
The slope is 2 and the y-intercept is 6.
d
The slope is 6 and the y-intercept is 2.
Answers
EXPLANATION: i know
In an n-sided polygon, two angles are right angles and each of the remaining angles is 150°. Find the value of n.
Answers
Answer: 8
Step-by-step explanation:
For a one-tailed test (lower tail) with a sample size of 10 and a .10 level of significance the t value is _____. a. –1.372 b. 1.383 c. –2.821 d. –1.383
Answers
Answer:
b 1.383
Step-by-step explanation:
it is a positive number
2x-4=x+1 giải phương trình
Answers
Step-by-step explanat ion: 2x - 4 - x - 1 = 0
<=> x - 5 = 0
<=> x = 5
Solve the equation for y.
8x – 9y = 11
A. y = −9/8x − 9/11
B. y = −8x − 11
C. y = 8/9x − 11/9
D. y = 9/8x + 11/8
Answers
Step-by-step explanation:
8x - 9y = 11
8x = 9y + 11
8x - 11 = 9y
y = 8x/9 - 11/9
so, C is correct
Does anyone know the answer to all 4 of these?
Answers
Answer:
1. $7.60 2. $3.70 3. $7.20 4. $9.20
Step-by-step explanation:
The volume of a cuboid is 2160cm3. The length is 12cm and the width is 150mm. Work out the height of the cuboid in cm.
Answers
Answer:
12 cm
Step-by-step explanation:
12x15 (150)
2160/180
= 12 cm
helpp please draw a line segment 8 cm and construct its axis of symmetry
Answers
Answer:
.____8cm______^1symmertry
find the midpoint of the segment with the given endpoints (3,7) and (-2,-5)
Answers
Answer:
-2.5,6.5
Step-by-step explanation:
why is 3.3 > 3.2999 please can any explain
Answers
Answer:
Step-by-step explanation: its cuz 3.3 is a equal to 3.30000 so 3.2999 would be less than it as it is just becoming smaller and smaller but whilst still staying the same number so 3.3000000=3.3 just like 3.29999999=3.29 all it is, is the repeating function in decimals.