Solve the equation by completing the
square. Enter the smallest solution first
and round to the nearest tenth.
s2 - 10s - 23 = 0
-
s = [?]
=
Answers
Answer:
s ≈ - 1.9 , s ≈ 11.9
Step-by-step explanation:
s² - 10s - 23 = 0 ( add 23 to both sides )
s² - 10s = 23
To complete the square
add ( half the coefficient of the s- term )² to both sides
s² + 2(- 5)s + 25 = 23 + 25
(s - 5)² = 48 ( take square root of both sides )
s - 5 = ± [tex]\sqrt{48}[/tex] ( add 5 to both sides )
s = 5 ± [tex]\sqrt{48}[/tex]
Then
s = 5 - [tex]\sqrt{48}[/tex] ≈ - 1.9 ( to the nearest tenth ) ← smaller solution
s = 5 + [tex]\sqrt{48}[/tex] ≈ 11.9 ( to the nearest tenth ) ← larger solution
Related Questions
Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?
Answers
He spent on transport = 20%
spent on breakfast = 60/-
spent on lunch = 15%
remaining amount = 340
rs he spent on transport = 20/100 × 340 =68
rs he spent on lunch = 15/100 × 340 = 51
Therefore, total of his pocket money = 68 + 51 + 60 + 340
= ₹519
The rectangle below has been enlarged by a scale of 3.5.
A rectangle with a length of 8 and width of 6.
Answers
Multiply the original dimensions by the scale:
8 x 3.5 = 28
6 x 3.5 = 21
New dimensions: length = 28, width = 21
La temperatura de un congelador bajó de 3 °C a −9 °C en 3 horas. Si la temperatura del congelador bajó en la misma cantidad de grados cada hora, ¿qué temperatura tenía el congelador al completarse la primera hora?
Answers
En este problema observamos que la temperatura del congelador desciende linealmente con el paso del tiempo, es decir, conforme al siguiente modelo:
[tex]T(t) = T_{o} + \frac{\Delta T}{\Delta t}\cdot t[/tex] (1)
Donde:
[tex]T_{o}[/tex] - Temperatura inicial, en grados Celsius.[tex]\Delta T[/tex] - Cambio total de la temperatura, en grados Celsius.[tex]\Delta t[/tex] - Cambio total en el tiempo, en horas.[tex]t[/tex] - Tiempo, en horas.Si sabemos que [tex]T_{o} = 3\,^{\circ}C[/tex], [tex]\Delta T = -12\,^{\circ}C[/tex]. [tex]\Delta t = 3\,h[/tex] y [tex]t = 1\,h[/tex], entonces la temperatura del congelador al completarse la primera hora es:
[tex]T(1\,h) = 3\,^{\circ}C + \left(\frac{-12\,^{\circ}C}{3\,h} \right)\cdot (1\,h)[/tex]
[tex]T(1\,h) = -1\,^{\circ}C[/tex]
El congelador tenía una temperatura de -1 °C a la primera hora.
Invitamos cordialmente a ver esta pregunta sobre temperaturas: https://brainly.com/question/21677542
PLEASE PLEASE HELP THANK YOU SO MUCH
Answers
Answer: x => 12.8 cm
13 and 13.5
Step-by-step explanation:
The area is equal to or greater than 154 cm^2:
A [tex]\geq[/tex] 154 cm^2
Assume a minimum of 154 cm^2 and calculate the area of a rectangle having a width of 12 cm. Let x be the length of the rectangle, so that:
(12)*x = Area
Area => 154 cm^2
(12)*x => 154 cm^2
x => (154/12cm) cm^2
x => 12.8 cm
13 and 13.5 will both meet the criteria.
Evaluate the expression:
2/3-1/4+(-5/6)
Answers
Answer:
[tex] \\ \frac{2}{3} - \frac{1}{4} + \frac{( - 5)}{6} [/tex]
[tex] \\ = \frac{2}{3} - \frac{1}{4} - \frac{5}{6} [/tex]
[tex] \\ = \frac{8 - 3 - 10}{12} [/tex]
[tex] \\ = \frac{8 - 13}{12} [/tex]
[tex] \\ = \frac{ - 5}{12} [/tex]
Building Bonds puts on team-building events. The company charges a base rate of $45 per event, plus $7.50 per participant. Write an equation showing how the cost of an event, y, depends on the number of participants, x.
(Please Help! Thank You!)
Answers
Answer:
45+7.50x= y
Step-by-step explanation:
Can somebody please help me and tell me how did you get the answer please thank you!!!
Answers
Answer:
10
Step-by-step explanation:
(6x-5)+(12x+5)=180
18x=180
x=10
0.9 is the result of finding the product of 2 and 34 minus a number.
Answers
Answer:
The answer is 3/10
Step-by-step explanation:
I took the test using K-12
Sorry if it is late.
What is f(-1)?
PLEASE HELP ASAP
Answers
Answer:
3
Step-by-step explanation:
so we know that this question is asking for the y value when x is equal to -1, so according to the graph its 3
Name the congruent triangles.
Answers
Answer:
ΔFOX ≅ΔBXO
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
a. $13.60
step by step explanation:
all you have to do is divide:
so 68/5 is 13.6
hope this helps
Answer:
Each friend will pay 13.60 dollars.
Step-by-step explanation:
68/5 is 13.6
Which expression is equivalent to -2( x-7 )?
Answers
Answer: -2x+14
Step-by-step explanation: use the distributive property. -2 times x and -2 times -7. -2x+14
Answer: -2x+14
and have a bless day
help me pleaseeeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
a) 6305/65= 97
b) 94+94= 188
306-188= 118
Answer:
a. 87 b. 59
Step-by-step explanation:
typing bc I need to have 20 letters
28+30 is what pls solve it just to pick brainliest answer
Answers
Answer:
58
Step-by-step explanation:
28
+30
58
that is the answer
Calculate x you must include the steps and your solution and the definitions and or conjuncture that you use
Answers
Answer:
40
Step-by-step explanation:
approximate 79.75 to the nearest hundred, ten, whole number, thenth
Answers
Answer: ten - 80(?)
hundred - 100
whole number - 80
tenth - 79.8
Find the pair of integers that has a product of –12 and a sum of 1.
Answers
Answer:
X = -4, Y = 3
Step-by-step explanation:
x * y = -12
x + y = 1
X = 4, Y = -3
NO TIME TO EXPLAIN
30 POINTS, IM TO LAZY TO DO THIS AND IT WAS DUE TWO WEEKS AGO SO UH PLEASE HELP.
Answers
Answer:
the first answer should be the answer of second one, and the first answer is "s + t = 28"
the third questions answer is 28 t shirts and 4 sweatshirts.
and the forth question answer is 4 sweatshirts.
I hope this helps.
Question 6 of 10
Which choice is equivalent to the product below?
Answers
Solve the equation for x.
x-17=-5
Answers
Answer: 12
Explanation:
add 17 to both sides
x = -5 + 17 = 12
Answer:
x = 12
Step-by-step explanation:
x - 17 = -5
x = -5 + 17
x = 12
Factor 28z–32. what is the factor??????
Answers
Answer:
4(7z - 8)
Step-by-step explanation:
28 and 32 are both divisible by 4.
how to determine if two functions are inverses of each other
Answers
Answer:
f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.
Step-by-step explanation:
Suppose you have two functions f(x) and g(x). If you use g(x) as the input to f(x), and the result is merely x, then we conclude that the two functions are inverses of each other. Similarly with f(x) as argument of g(x).
f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.
System of equations pls help me
Answers
Answer:
x=6 and y=5
Step-by-step explanation:
We can eliminate the "x" variable by adding the two equations to get 6y=30. This means that y=5.
If we plug y=5 back into one of the original equations:
5x+y=35
5x+5=35
5x=30
x=6
-5x+5y=-5
-5x+5(5)=-5
-5x+25=-5
-5x=-30
x=6
Which confirms that x=6 and y=5 are indeed the correct solutions
Answer:
x=6 ,y=5
Step-by-step explanation:
6y=30,y=5
x=6
Fill the gaps in the
a Die
x = -7
5x - 7 ?
Answers
Answer: -42
Step-by-step explanation:
If X = -7
Then:
= 5(-7) - 7
= -35 - 7
= -42
Hope it helps:)
If you type 75 words in 3 minutes at what rate do you type?
Answers
Equation: y=25x.
Hope this helps!!
is (3,2) , (4,6) , (5,8) a function
Answers
Marlee has to find the point that divides the line segment between the points P(-6, 10) and R(2, -4) exactly in half. Marlee states: "the answer is M(-2, 3). Since a midpoint divides a line segment into 2 equal parts, I used the midpoint formula." Is this a logical argument?
Please choose one of these choices.:
A. Yes; using the midpoint formula will determine the middle point of a line segment.
B. No; she should have used the distance formula.
C. No; she should have used the quadratic formula.
D. No; she should have used the slope-intercept formula y = mx + b.
Answers
Answer:
A.
Step-by-step explanation:
If you use the points P(-6,10) and R(2,-4) and put them it the midpoint formula you would get (-2,3) therefore it would be logical to use it
negitive ten is no less than two times a number plus fourteen
Answers
Answer:
Negative 12
Step-by-step explanation:
-10 ≥ 2x + 14
-24 ≥ 2x [subtract 14 from both sides]
2x ≤ -24 [read right to left]
x ≤ -12 [divide both sides by 2]
Planes S and R both intersect plane T .
Horizontal plane T intersects vertical planes S and R. Planes T and S intersect at line x. Planes T and R intersect and line y. Horizontal line v intersects line x at point B and line y at point A. Line z intersects the lower half of plane S at point C. Point D is on line z but not on a plane.
Which statements are true based on the diagram? Select three options.
Plane S contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane S at point C.
Planes R and T intersect at line y
Answers
Answer:
B,D,E
Step-by-step explanation:
Answer:
B- The line containing points A and B lies entirely in plane
C-Line z intersects plane S at point C.
E-Planes R and T intersect at line y.
Step-by-step explanation:
Ed2022
Find the value of each variable.
I have been stuck on these for a week now. Please help.
Answers
Answer:
Step-by-step explanation:
the varible would be x