Solve the equation by completing the
square. Enter the smallest solution first
and round to the nearest tenth.
s? - 8s - 4 = 0
-
s = [?]
Answers
Answer:
s ≈ - 0.5 , s ≈ 8.5
Step-by-step explanation:
s² - 8s - 4 = 0 ( add 4 to both sides )
s² - 8s = 4
To complete the square
add ( half the coefficient of the s- term )² to both sides
s² + 2(- 4)s + 16 = 4 + 16
(s - 4)² = 20 ( take square root of both sides )
s - 4 = ± [tex]\sqrt{20}[/tex] ( add 4 to both sides )
s = 4 ± [tex]\sqrt{20}[/tex]
Then
s = 4 - [tex]\sqrt{20}[/tex] ≈ - 0.5 ( to the nearest tenth ) ← smaller solution
s = 4 + [tex]\sqrt{20}[/tex] ≈ 8.5 ( to the nearest tenth ) ← larger solution
Related Questions
find the number that makes the ratio equivalent 1:5. 7:
Answers
Answer:
35
Step-by-step explanation:
1. We can write the ratios as fractions of: [tex]\frac{1}{5} =\frac{7}{x}[/tex]. Now, we solve for the variable x.
2. (Solving)
Step 1: Cross-multiply.
[tex]1*x=7*5[/tex] [tex]x = 35[/tex]Therefore, the number that makes the ratio equivalent is 35.
Answer:
1:5 & 7:35
Step-by-step explanation:
7 x 5 = 35
If 2x = 3y + 11 and 2 to the power of x = 2 to the power of 4(y+1), determine the value of x + y
Answers
Z = -2
Y = 5
is your answer
Beth,nina, Juan,Lucy and Abdul love fruit. all of them exept lucy and Nina love mangos. only the girls like watermelon. all of the apart from abdul and beth like papayas. only abdul, juan and nina like pears. only juan and lucy do not like pineapple. everyone wirh an a in their name likes cherries. who likes the largest variety of fruit ?
Answers
Answer:
The answer would be Nina
Step-by-step explanation:
beth- likes mangos, watermelon, and pineapple
nina- likes watermelon, papayas, pears, pineapple and cherries
juan- likes mangos, papayas and pears
lucy likes watermelon and papayas
abdul- likes mangos, pears and pineapples
( nina has the most amount of fruit liked between everyone else)
so the answer has to be Nina.
Simplify the expression using the order of operations.
4+(3+2)2
= 4+
2
= 4+
=
Answers
Step-by-step explanation:
4+(3+2)2
4+(5)2
4+10
14
A squirrel burrowed 10 holes in 8 minutes. How many holes could the squirrel burrow in 12 minutes?
Answers
Answer:
15
Step-by-step explanation:
Fast and loose: To go from 8 to 12 minutes you're adding half the time (4 minutes). So it has time to burrow only half the holes in the extra time, so 5. Total, 10+5=15.
Crunching numbers: it's a simple proportion:[tex]10:8 = x :12[/tex] from which, cross-multiplying you get [tex]8x=12\times10 \rightarrow 8x=120 \rightarrow x=15[/tex]
horizontal translation 5 unitss left
Answers
Answer:
The Rule for Horizontal Translations:
if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.
Step-by-step explanation:
First, let us look at the parent function f(x) = |x|. The graph of this function looks like the following.
Notice that it is symmetric about the y-axis and looks like a v. Now, that we have the parent function and its graph. Let's look at thow the four transformations happen.
Part I: Horizontal and Vertical Translations
First, we must have a definition of the two types of translations. A vertical translation moves the graph up or down. An example of that would be:
Here, the red graph has been moved up 10 units and the blue graph has been moved down 10 units. These are the two types of vertical translations.
The other type of translation is a horizontal translation. A horizontal translation moves the graph left or right. An example of this would be:
Here, the red graph has been moved to the left 10 units and the blue graph has been moved to the right 10 units.
Now that we have seen some examples of the these, let's see if we can figure out why these translations happen.
Here is an equation of one of the vertical translations: , which of the graphs do you think it is? If you said the red one, you are correct.
Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.
What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through vertical translations.
Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.
The Rule for Vertical Translations:
if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a postive value and downward when k is negative value.
Here is an equation of one of the horizontal translations: , which of the graphs do you think it is? If you said the red one, you are correct.
Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.
What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through horizontal translations.
Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.
The Rule for Horizontal Translations:
if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.
Hope this helps, have a nice day/night! :D
If it helped, please mark as brainliest!
The population density of Peru one year was approximately 23 people per square kilometer. Brazil has a land area of approximately 8. 5 million square kilometers. If Brazil had the same population density as Peru that year, approximately how many people were living in Brazil? 370,000 people 2,700,000 people 31,500,000 people 195,500,000 people.
Answers
Answer:
195,500,000 people.
Step-by-step explanation:
8.5 mil times 23 equals 195,500,000
3. What is 5% of 120?
A. 5
B. 6
C. 10
D. 12
Answers
Answer:
B
Step-by-step explanation:
5% of 120
= [tex]\frac{5}{100}[/tex] × 120
= 0.05 × 120
= 6
If 12 inches = 1 foot, and 3 feet = 1 yard, how many inches are there in 2.5 yards? step by step
Answers
2.5 yards = 7.5ft
12inch x 7.5 = 90
ANSWER: 90 inches
Can someone help me please?
Answers
Answer:
5.9 x [tex]10^{12}[/tex]
Step-by-step explanation:
Plzzz help me plzzzzzz
Answers
Answer:
Circumference of a circle = pi * diameter
[tex]219.8=3.14*d[/tex]
[tex]d=\frac{219.8}{3.14}[/tex]
[tex]d=70[/tex]
Radius = half of diameter
[tex]r=\frac{1}{2} d[/tex]
[tex]r=\frac{1}{2}*70[/tex]
[tex]r=35[/tex]
Area of circle = [tex]\pi r^2[/tex], where r is the radius:
[tex]a=3.14*35^2[/tex]
[tex]a=3846.5[/tex]
If they ran around the track 3 times, they would cover the circumference three times.
[tex]219.8*3=659.4[/tex]
Convert to centimetres:
[tex]659.4*100=65940[/tex]
Which graph best represents the solution set of y + 8/3x > 4
Answers
Which graph best represents the solution set of y + 8/3x > 4 ?
Letter D. is the answer :)Hope It's Help
Korey completely covered a square counter top using 103.5 ftof tile without any overlap.
Which measurement is closest to the side length of this counter top in feet?
10 ft
O 11 ft
O 27 ft
O 55 ft
Answers
Answer:
10 ft
Step-by-step explanation:
10² = 100
11² = 121
Answer: 10 ft
Five players are given $10 each and asked to contribute any portion of it to a group account. They are also told that the total collection will be doubled and distributed equally among each of them. In this case, the players are likely to contribute __________.
Answers
Answer:
nothing
Step-by-step explanation:
Jim holds $50.000 in money at the beginning of the year. The annual inflation rate is 2 percent, and the price level rises from 10 to 1.02. What is the "inflation tax" that Jim pays at the end of the year? Jim pays an inflation tax of
Answers
Based on the inflation rate and the amount he had at the beginning of the year, Jim will pay an inflation tax of $1,000
Inflation tax refers to the value lost out of the cash holdings that a person has as a result of inflation.
With inflation being 2%, Jim would lose 2% of his cash holdings which translates to:
= Cash holdings x Inflation rate
= 50,000 x 2%
= $1,000
In conclusion, Jim will pay an inflation tax of $1,000.
Find out more at https://brainly.com/question/13724038.
3(2x + 5) + 4(3c - 2)
Answers
Answer:
6x+12c+7
Step-by-step explanation:
3(2x+5)+4(3c-2)
3*2x+3*5+4*3c-4*2
6x+15+12c-8
6x+12c+7
Answer:
[tex]12c+6x+7[/tex]
Step-by-step explanation:
Use the distributive property to simplify the expression accordingly:
[tex](6x+15)+(12c-8)[/tex]
[tex]12c+6x+7[/tex]
Complete the following conversation.
A. Customary Units
1.) 42in=_____ft
2.) 5ft=_____in
Answers
Answer:
42in =3.5ft.
5ft=___60in
what is the inequality for the graph
Answers
Y >= 2X - 5
Step-by-step explanation:
yeah-ya..... right?
Terry buys an orange for 39p.
He pays with a £1 coin.
How much change does he get?
Give your answer in pence.
Answers
Answer:
61p
Step-by-step explanation:
There are 100 pence in 1 pound, so subtract 39 from 100 to get the change.
the cost of 6 kg of oranges is rs 540 how many kilograms of oranges can be purchased for rs 720
Answers
Answer:
This will clear you
Step-by-step explanation:
Given:-
Cost of 6 kg oranges =540
Cost of 1 kg oranges =540/6
=90
Now,
Orange can be purchased =720-540
=180
Again,
Remaining rupees =180/90
=2
Also,
We can buy oranges = 6kg+2kg
=8kg
If the cost of 6 kg of oranges is rs 540, for Rs. 720, you can purchase 8 kilograms of oranges.
To find out how many kilograms of oranges can be purchased for Rs. 720, we need to calculate the cost per kilogram of oranges.
Given that the cost of 6 kg of oranges is Rs. 540, we can find the cost of 1 kg of oranges by dividing Rs. 540 by 6:
Cost of 1 kg of oranges = Rs. 540 / 6 = Rs. 90
Now that we know the cost of 1 kg of oranges is Rs. 90, we can determine how many kilograms of oranges can be purchased for Rs. 720 by dividing Rs. 720 by the cost per kilogram:
Kilograms of oranges that can be purchased = Rs. 720 / Rs. 90 = 8 kg
So, for Rs. 720, you can purchase 8 kilograms of oranges.
In summary, to find the kilograms of oranges that can be purchased for Rs. 720, we divide the given amount by the cost per kilogram, which is obtained by dividing the cost of 6 kg of oranges by 6. The result is 8 kg of oranges that can be bought for Rs. 720.
To learn more about proportion click on,
https://brainly.com/question/31381502
#SPJ4
HELP I WILL GIVE BRAINLEST
Answers
Answer:
the answer is A
Step-by-step explanation:
Sin is for a and in this picture a is y
Match the Vocab Word to the definition.
Remember, you are allowed to use your notes to help you!
Question 1 options:
Multiply a sum by multiplying each addend separately and then adding the products.
∙a(b + c) = ab + ac
∙k(m – n) = km - kn
Part of an expression that is added or subtracted.
∙These can be a single number or a variable, or
numbers and variables multiplied together.
A letter or symbol that represents a value.
It's a number on its own, it has a fixed value.
The number in front of a variable.
1.
Distributive Property
2.
Term
3.
Variable
4.
Constant
5.
Coefficient
Answers
Term, Part of an expression that is added or subtracted. These can be a single number, variable, or numbers and variables multiplied together.
Variable, A letter or symbol that represents a value.
Constant, It’s a number kn it’s own, but it has a fixed value.
Coefficient, the number in front of a variable.
Hope this helped!!
brainly helpppp me out
Answers
Answer:
D
Step-by-step explanation:
I think it might be (D) $2x-5
7.
Fit a quadratic function to these three points:
(−1, −11), (0, −3), and (3, −27)
y = −4x^2 − 4x + 3
y = −4x^2 − 4x − 3
y = −4x^2 + 4x − 3
y = 4x^2 − 4x − 3
Answers
Answer:
y = −4x^2 + 4x − 3
Step-by-step explanation:
Solve:
two fifths plus seven fifteenths equals blank
Question 3 options:
thirteen fifteenths
nine fifteenths
nine twentieths
nine fifths
Answers
Answer:
[tex]\frac{13}{15}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{2.3}{5.3}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{6}{15}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{13}{15}[/tex]
a big beach towel has a width that is 3 feet less than its length. Of the towels area is 28 feet, what is its length
Answers
Answer:
the answer is 9.333
Step-by-step explanation:
because if the towel of the width that is 3 feet less so you do 28/3=9.333
Answer:
length = 7 ft
Width = 4 ft
Step-by-step explanation:
length = l
Width = l -3
Area = 28 sq.ft
length *width = 28
l*(l-3) = 28
l*l - l*3 = 28
l² - 3l - 28 =0
l² - 7l + 4l - 28 = 0
l(l - 7) + 4(l - 7) = 0
(l -7) (l + 4) =
l -7 = 0 {Ignore l + 4 = 0 as , it gives a negative value}
l = 7 ft
width = 7 - 3= 4
Selena and Demi run a gift delivery business. Selena charges a delivery fee that is $18, and she also charges $6 per gift delivered. Demi charges $16, and she also charges $8 per gift delivered. How many gifts have to be delivered before they charge the same amount?
Answers
Answer:
1 gift
Step-by-step explanation:
Cost per gift + delivered cost
Selena $6x + $18
Demi $8x + $16
$8x + $16 = $6x + $18
$2x - $16 = $18
$2x = $18 - $16
$2x = $2
x = 1
Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.
Answers
Answer:
Bridget was thinking of the number 592
correct??
Step-by-step explanation:
topanga is a college student who does photography and videography to earn money. she spent $300 on her camera to start up her buisness on campus. table below shows the money she earned (f(x)). She will earn money by the hour. Will give branliest for answer, if you want
Answers
Answer:
400!
Step-by-step explanation:
what is 3/4 x 2/3 as a fraction
Answers
Answer:
6/12 or 1/2
Step-by-step explanation:
Multiply Across
Numerators 3 x 2 = 6
3 x 4 = 12
6/12
(or 1/2, simplified)
[tex] \\ \frac{3}{4} \times \frac{2}{3} [/tex]
[tex] \\ = { \cancel{ \frac{3}{4} }} \times { \cancel{ \frac{2}{3} }}[/tex]
[tex] \\ = \frac{1}{2} [/tex]