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
Express as a power of 2
(2/root8)^3
Answers
[tex]\left(\dfrac{2}{\sqrt 8} \right)^3\\\\\\=\left(\dfrac{2}{2\sqrt 2} \right)^3\\\\\\=\left(\dfrac 1{\sqrt 2} \right)^3\\\\\\=\left[\left(\sqrt2 \right)^{-1} \right]^3\\\\\\=\left(\sqrt 2 \right)^{-3}\\\\\\=\left(2^{\tfrac 12} \right)^{-3}\\\\\\=2^{-\tfrac 32}[/tex]
Which pair of functions are inverse function?
Answers
Answer:
inverse functions is when the x and y coordinates are interchanged
Step-by-step explanation:
(1,2) and (2,1) are inverse functions. in other words they are flipped at the y=x line
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answers
Answer:
9.09
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
When looking at the triangle we see that we have the hypotenuse and the opposite side.
a = opposite
b = adjacent
c = hypotenuse (always)
So if we plug those numbers into the equation we can get the missing side length
1) a² + b² = c²
2) 9.7² + b² = 13.3²
3) b² = 13.3² - 9.7²
4) b² = 176.89 - 94.09
5) b = [tex]\sqrt{176.89 - 94.09}[/tex]
6) b = 9.093954036
Now we round to nearest hundredth
To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,
b = 9.09
Please help! I will give points <3
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{b - 6a}\\\large\textsf{= \boxed{\textsf{44}} - 6\boxed{\textsf{(3)}}}\\\large\textsf{= 44 - 18}\\\large\textsf{= 26}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\textsf{26}}}}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]
The inequality −3 < x is equivalent to the inequality x > −3.
Answers
5/15 = n/9 someone help me (proportions)
Answers
Answer:
n = 3
Step-by-step explanation:
[tex]\frac{5}{15} = \frac{n}{9}[/tex]
Cross multiply
15n = 45
Divide
15n/15 = 45/15
n = 3
I need help with these questions
Answers
Answer:
segment addition postulate
the second answer is true
Step-by-step explanation:
my teacher taught me this recently
The total student at Shiloh middle school is 1,400 students. If the ratio of boy to girls is 3:4 for the school how many students are boys and how many students are girls
Answers
There are 600 boys and 800 girls.
SOLUTION:We are given the following facts:
The total number of students is 1,400.The ratio of boys to girls is 3:4.We express this as a partitive proportion.
» Solve for x.
[tex] \sf 3x + 4x = 1400 [/tex][tex] \sf 7x = 1400 [/tex][tex] \sf x = \frac{1400}{7} [/tex][tex] \sf x = 200 [/tex]Now we to solve for the number of boys and the number of girls.
» Number of boys:
= [tex] \sf 3x [/tex] = [tex] \sf (3)(200) [/tex] = [tex] {\boxed{\sf 600}} [/tex]» Number of girls:
= [tex] \sf 4x [/tex] = [tex] \sf (4)(200) [/tex] = [tex] {\boxed{\sf 800}} [/tex]Thus, there are 600 boys and 800 girls. The sum of these is the total number of students in Shiloh Middle School.
HOPE IT HELPS!Does someone have this answer???? Thank you so much
Answers
Answer: 3
Step-by-step explanation:
We know that p(t) = 11:
11=2t+5
11-5=2t
6=2t
6/2 = t
3 = t
2/5+3/10/−7/9pls hlp
Answers
[tex] \frac{2}{5} + \frac{3}{10} - \frac{7}{9} \\ = \frac{2 \times 18 + 3 \times 9 - 7 \times 10}{90} \\ = \frac{36 + 27 - 70}{90} \\ = \frac{ - 7}{90} [/tex]
Answer:[tex] \frac{ - 7}{90} [/tex]
Answer:
5
52
52
52 +
52 + 10
52 + 103
52 + 103
52 + 103 −
52 + 103 − 9
52 + 103 − 97
52 + 103 − 97
52 + 103 − 97
52 + 103 − 97 =
52 + 103 − 97 = 90
52 + 103 − 97 = 902×18+3×9−7×10
52 + 103 − 97 = 902×18+3×9−7×10
52 + 103 − 97 = 902×18+3×9−7×10
52 + 103 − 97 = 902×18+3×9−7×10 =
52 + 103 − 97 = 902×18+3×9−7×10 = 90
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 =
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90}
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90−7
If $150 is shared among 25 people, how much does each person receive?
Answers
Each person receives $6
Events A and B are disjoint. Find P(AorB) when P(A) = 0.55 and P(B) = 0.2
P (A or B)=
Answers
Answer:
0.75 = P(A or B)
Step-by-step explanation:
Since the events are disjoint, we can find the probability of one or the other occurring merely by adding P(A) and P(B): 0.55 + 0.2 = 0.75 = P(A or B)
EXAMINE THE PARAGRAPH PROOF. WHCIH THEOREM DOES IT OFFER PROOF FOR?
Answers
Answer:
The answer is C.
Step-by-step explanation:
The theory of vertical angles, often known as the theorem of vertically opposite angles. According to the theorem, two opposed vertical angles created when two lines cross one other are always equal (congruent) to each other no matter what the circumstances are.
the atomic number of arsenic is 33. what is the electron configuration of an arsenic atom
Answers
1s^2 2s^2 2p^6 3s^2 3p^6 3d^10 4s^2 4p^3
Parallel lines m and n are cut by the transversal line t prove <1 and <4 are supplementary move options to the boxes to complete the proof
Answers
Examine the linear relationships.
Linear equation A: y=45x
Linear equation B is represented by this graph.
A line that passes through points (0, 2) and (5, 4).
© 2017 StrongMind. Created using GeoGebra.
Which statement is entirely correct?
Equation A has a steeper slope, because 45 is greater than 25.Equation A has a steeper slope, because 4 fifths is greater than
Equation B has a steeper slope, because 45 is greater than 25.Equation B has a steeper slope, because 4 fifths is greater than
Equation A has a steeper slope, because 52 is greater than 45.Equation A has a steeper slope, because 5 halves is greater than
Equation B has a steeper slope, because 52 is greater than 45.
Answers
Using linear functions, it is found that the correct option is:
Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].
A linear function has the following format:
[tex]y = ax + b[/tex]
In which:
a is the slope, which is the rate of change.The higher the slope, the steeper the function is:Linear equation A is given by:
[tex]y = \frac{4}{5}x[/tex]
Linear equation B passes through points (0, 2) and (5, 4). Since the slope between two points is given by change in y divided by change in x, we have that:
[tex]m = \frac{4 - 2}{5 - 0} = \frac{2}{5}[/tex]
Equation A has a higher slope, hence, it is steeper, and the correct option is:
Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].
A similar problem is given at https://brainly.com/question/20386726
Help, I'll give Brainliest to the correct answer!!
Answers
+400, +50, 50 - 400, 50 + (-400) = -350
+400, -120, -120 - 400, -120 + (-400) = -520
+400, -75 3/4, -75 3/4 - 400, -75 3/4 + (-400) = -475 3.4
-200, +610, 610 - (-200), 610 + 200 = 810
-200, -50, -50 - (-200), -50 + 200 = 150
-200, -500, -500 - (-200), -500 + 200 = -300
-200, 0, 0 + 200, 0 - (-200) = 200
-200, 120 1/2, 120 1/2 - (-200), 120 1/2 + 200 = 320 1/2
I think this might be the answer.
hii I need help with this I really don't get it and I'm like, bad at Functions and stuff like that, I hope this doesn't trouble you :(
Answers
After the first hour, it would cost 3 dollars to rent children’s skates. After the second, it would cost 6. This would make the slope 3, so the formula would be C=3h. It costs $3 per hour to rent children’s skates.
If the question is referring to the grey points, it would cost more to rent children’s skates for the first hour. After the first hour, it would cost more to rent adults skates.
The starting value (the y-intercept/the point at zero on the y axis, which is the vertical center line) is 6, and the slope is still 3 for the children’s skates.
For the first hour, it would cost $9 for children’s skates and $8 for adults skates. For two hours, it would cost $12 for the children’s skates and $16 for adults skates.
(It’s more likely that the question is referring to the blue graph)
hope this helps! if you have any questions, feel free to comment them under this answer :)
2. Rich and Betsy Cuik started a small business. They manufacture a
microwavable coffee-to-go cup called Cuik Cuppa Coffee. It contains
spring water and ground coffee beans in a tea-bag-like pouch. Each
cup costs the company $1.00 to manufacture. The fixed costs for this
product line are $1,500. Rich and Betsy have determined the demand
function to be q = -1,000p + 8,500, where p is the price for each cup.
a. Write the expense equation in terms of the demand, q.
b. Express the expense equation found in part a in terms of the
price,p.
c. Determine a viewing window on a graphing calculator for the
expense function. Justify your answer.
d. Draw and label the graph of the expense function.
e. Write the revenue function in terms of the price.
f. Graph the revenue function in a suitable viewing window. What
price will yield the maximum revenue? What is the revenue at
that price? Round both answers to the nearest cent.
g. Graph the revenue and expense functions on the same coordinate
plane. Identify the points of intersection using a graphing calcula-
tor. Round your answers to the nearest cent. Identify the price at
the breakeven points.
I
Answers
Answer:
Step-by-step explanation:
A) 1.00q+1,500
E=1.00q+1,500
The costs are $1.00 per cup and $1,500.
Let E represents the total cost.
Let q be the demand (number of cups).
Then the total cost is the product of the costs per cup of $1.00 multiplied by the number of cups, increased by the fixed costs of $1,500
Help please I’m going to be in big trouble
Answers
[plz help 20 points
i really need help.
Answers
Answer:
its A
Step-by-step explanation:
Find the value of x and y
Answers
Answer:
x=4
y=5
Step-by-step explanation:
because this lines are all parallel, so 17x-y equals to 180°-117°= 63, then you get 17x-y = 63
also, equally you can get the below one
6x+7y = (180°-121°)
6x+7y = 59.
put them together
17x-y=63 (1)
6x+7y =59 (2)
you can transform the (1) to y= -(63-17x)
then you get the second one
6x+7(-(63-17x))=59
then you get x
finally you get the result of x into any of the equation
you get y ultimately.
Help please and super quick
Answers
Answer:
it's super easy
7¹⁵/7¹⁴
7¹⁵-¹⁴
7¹ or 7
Step-by-step explanation:
I know it helped you :)
y + 2x = 2 and y + 4x = 0?
Answers
Answer:
y=4
Step-by-step explanation:
y+2x=2
2(y+2x)=2(2)
2y+4x=4
(2y+4x)-(y+4x)=4-0
y=4
Find the area of the rectangle
9mm and 16mm?
Answers
Answer:
144mm or 14.4 cm
Step-by-step explanation:
9 × 16 = 144mm
144mm = 14.4 cm
144mm or 14.4cm
find the value of x.
Answers
Answer:
x = 11
Step-by-step explanation:
Chords equidistant from the centre , which is the case here are congruent, so
x = 11
(04.01 MC) Which set of points includes all of the solutions for y = negative four fifths times x plus two?line going through 0 comma 2 and 5 comma negative 2 Group of answer choices (15, 10), (0, 2), and (−10, 10) (−10, 10), (−5, 6), (0, 2), (5, −2), (10, −6) (x, y) for all real numbers (x, negative four fifths times x plus two) for all real numbers
Answers
The solutions of a function are the true values of the function
The solutions are: (0,2), (5,-2), (-10, 10) and (-5,6)
The function is given as:
[tex]\mathbf{y = -\frac 45 x + 2}[/tex]
From the question, we understand that the line of the equation passes through points (0,2) and (5,-2)
This means that:
(0,2) and (5,-2) are solutions of the equation
Other possible solutions include (-10, 10) and (-5,6)
This is true because, when these values are substituted in the equation, the result of the equation is true
Hence, the true options are:
(0,2), (5,-2), (-10, 10) and (-5,6)
Read more about solutions of equations at:
https://brainly.com/question/545403
What is an equation of the line that passes through the point (-1,-6) and is perpendicular to the line x+6y=6
Answers
Answer:
Well x + 6y = 6 can be written 6y = -1x + 6 or y = (-1/6)x + 1. Any line perpendicular to this line will have a slope that is the multiplicative inverse of -1/6 which is +6
So the line passing through( -1,-6) having slope 6 is (y - -6) / (x - -1) = 6 or…………..(y + 6) / (x + 1) = 6 and multiplying both sides by x + 1 gives y+6 = 6(x + 1) and finally subtracting 6 we have y = 6(x+1) - 6 or y = 6x + 0.
This turns out to be a line that passes through the origin having slope 6/1
Step-by-step explanation:
can someone please help me
Answers
Answer:
135=9r
Step-by-step explanation:
"product" means multiplication.
Not much needed to be explained
Trinity already has $135 dollars in her savings account. If she puts $15 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $480 in her account.
Answers
Answer:
let x stand for number of weeks
135+15x>=480
x>=23
Step-by-step explanation:
subtract 135 on both sides
15x>=345
divide by 15 on both sides
x>=23 is your solution
Answer:10
Step-by-step explanation:
10