Answer:
first option
Step-by-step explanation:
Given
[tex]\frac{15}{x}[/tex] + 6 = [tex]\frac{9}{x^2}[/tex]
Multiply through by x² to clear the fractions
15x + 6x² = 9 ( subtract 9 from both sides )
6x² + 15x - 9 = 0 ( divide through by 3 )
2x² + 5x - 3 = 0 ← in standard form
Consider the factors of the product of the coefficient of x² and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to slit the x- term
2x² + 6x - x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x + 3) - 1(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(2x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 0.5
Solution set is { - 3, 0.5 }
Is (0, 3) a solution to the following system?
Y=-x+3
Y=2x-3
A No, because it does not check in either equation.
B. No, because it does not check in the first equation.
C. No, because it does not check in the second equation.
D. Yes, because it checks in both equations.
Solve each equation with (0, 3)
y = -x + 3
3 = -0 + 3
y = 3 (correct since y = 3 in (0, 3))
y = 2x - 3
3 = 2(0) - 3
3 = 0 - 3
3 = -3 (incorrect since it isn't equal)
So... No, because it does not check in the second equation.
Best of Luck!
Help mee! Deadliest question.. Asap!!
Answer:
134 136 138 139 141 142 144 146 147 149 155 165
Step-by-step explanation:
You just had to put least to greatest
Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
Answer:
$10.5 dollars
Step-by-step explanation:
Keep your brains.
Using the data given:
(18+4+12+8)÷4=
42÷4=
$10.5 dollars
In Deductive reasoning you start from A __set of rules and conditions to determine what must be true? A. Unknown B.hypothetical C. Induced D. Given
Answer:
Option D is correct.
In Deductive reasoning you start from a 'Given' set of rules and conditions to determine what must be true.
Step-by-step explanation:
Deductive reasoning is a top-to-down reasoning method that makes its conclusion on the basis of given premise(s) which is/are commonly assumed to be true.
It uses given rules, theorems, conditions, methods etc. to prove that other statements are true or not.
Hence, in Deductive reasoning you start from a 'Given' set of rules and conditions to determine what must be true.
Hope this Helps!!!
What is the measure of each interior angle of a regular nonagon (nine-sided polygon) ? 2 points 60° 120° 140° 40°
Answer:
the answer is to your question is 140
Answer:
140°
Step-by-step explanation:
9 - 2 = 7
7 x 180= 1260° (sum of all interior angles)
1260 ÷ 9= 140° (measure of one interior angle)
Can someone help me with this problem?
━━━━━━━☆☆━━━━━━━
▹ Answer
Slope = 1
▹ Step-by-Step Explanation
y = mx + b
'm' represents the slope. since there is no number before the x, the coefficient will always be 1. therefore, the slope is 1.
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Beth says that the graph of g(x)=x-5+1 is a
Translation of 5 units to the left and 1 unit up of
F(x)=x
She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x) is Beths description of the transformation correct? Explain
Answer:
(-15,3)
Step-by-step explanation:
Answer:
No, Beth is not correct. The function g(x) has an h value of 5 and a k value of 1. This would be a horizontal translation of the square root function of 5 units to the right, rather than the left. Beth was correct about the vertical translation of the square root function of 1 unit up. The point (0, 0) from the square root function would be translated to the point (5, 1) on the graph of g(x).
Step-by-step explanation:
This came right from Edg
c) Bhurashi can do 1/3 part of a work in 6 days.
(1) In how many days would she complete the whole work?
(ii) How much work does she do in 1 day?
m) How much work is left to do if she worked only for 9 days?
Answer:
i. 18 daysii.[tex] \frac{1}{18} [/tex] part of workiii. [tex] \frac{1}{2} [/tex] part of workStep-by-step explanation:
i.
[tex] \frac{1}{3} [/tex] part of work can be done in 6 days.
Days taken to complete the whole work:
= 6 * 3
= 18 days
ii. Whole work will be done in 18 days.
So, 1 day work = [tex] \frac{1}{18} [/tex]
iii. Work done in 9 days :
[tex] \frac{1}{18} \times 9 [/tex]
[tex] = \frac{1}{2} [/tex]
So, remaining work :
[tex]1 - \frac{1}{2} [/tex]
[tex] = \frac{1 \times 2 - 1}{2} [/tex]
[tex] = \frac{2 - 1}{2} [/tex]
[tex] = \frac{1}{2} [/tex] part of work
Hope this helps...
Good luck on your assignment..
Which pair of complex numbers has a real-number product? (1 + 3i)(6i) (1 + 3i)(2 – 3i) (1 + 3i)(1 – 3i) (1 + 3i)(3i)
Answer:
(1 + 3i)(1 – 3i) gives real number productStep-by-step explanation:
Given the expressions
[tex](1 + 3i)(6i) ,(1 + 3i)(2 -3i), (1 + 3i)(1 - 3i), (1 + 3i)(3i)[/tex]
From analysis one of the following pairs has real-number products
[tex](1 + 3i)(2 -3i), (1 + 3i)(1 - 3i)[/tex]
Performing operations on
[tex](1 + 3i)(2 -3i)= 2-3i+6-6i^2 \\= 2-3i+6-6(-1) \\=2-3i+6+6 \\=14-3i[/tex]
Performing operations on
[tex](1 + 3i)(1 - 3i) \\= 1-3i+3i-9(i)^2 \\= 1+0-9(-1) \\= 1+9=10[/tex]
Answer:
C
Step-by-step explanation:
trust
What is the solution to the system of equations?
y= 2/3x+3
x = –2
Answer:
[tex]x = -2[/tex] and [tex]y = \frac{5}{3}[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{2}{3}x + 3[/tex]
[tex]x = -2[/tex]
Required
Determine the solution to the equations
From the second equation, we have the value of x already;
The next step is to substitute -2 for x in the first equation
[tex]y = \frac{2}{3}x + 3[/tex] becomes
[tex]y = \frac{2}{3}(-2) + 3[/tex]
[tex]y = \frac{-4}{3} + 3[/tex]
[tex]y = -\frac{4}{3} + 3[/tex]
Take LCM
[tex]y = \frac{-4 + 9}{3}[/tex]
[tex]y = \frac{5}{3}[/tex]
Hence,
[tex]x = -2[/tex] and [tex]y = \frac{5}{3}[/tex]
the number of Roberto's baseball cards is 3/4 the number of David's cards. If Roberto gives 1/2 of his cards to David, what will be the ratio of Roberto's cards to David's cards?
Answer:
The ratio between Roberto and David is 3:11
Step-by-step explanation:
If Roberto were to have 18 cards when we start, then David would have 24. Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.
The ratio of Roberto's cards to David's cards will be 3:11.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The number of Roberto's baseball cards is 3/4 the number of David's cards. If Roberto gives 1/2 of his cards to David.
If Roberto were to have 18 cards when we start, then David would have 24.
Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.
The ratio between Roberto and David is 3:11
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Mark the absolute maximum point of the graph.
is the absolute maximum point (-3,5)?
Select the correct answer. The capacity in cubic feet of a cylindrical silo is given by the function C(x), where x is the radius of the silo in feet. The area of the circular base of the silo is given by the function A(x). C(x) = 6.28x3 + 18.84x2 A(x) = 3.14x2 Which function, H(x), represents the height of the silo? H(x) = x + 3 H(x) = 2x − 6 H(x) = 2x + 6 H(x) = x − 3
Answer:
C. H(x) = 2x+6
Step-by-step explanation:
Volume of the cylindrical silo = Area of its circular base × Height
Volume of the cylindrical silo = πr²×H
If the area of the circular base of the silo is given by the function A(x), the volume is given by C(x) and the height is given by H(x), the formula can be expressed as;
C(x) = A(x) × H(x)
The height of the cylindrical silo will be;
H(x) = C(x)/A(x)
Given C(x) = 6.28x³ + 18.84x² and
A(x) = 3.14x²
H(x) = 6.28x³ + 18.84x²/3.14x²
H(x) = x²(6.28x+18.84)/3.14x²
H(x) = (6.28x+18.84)/3.14
H(x) = 3.14(2x+6)/3.14
H(x) = 2x+6
Hence, the function, H(x) that represents the height of the silo is 2x+6.
1. Calculate Q3 of the following data:
4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4
Answer:
4.75
Step-by-step explanation:
Given each set of vertices, determine whether PQRS is a rhombus, a rectangle, or a square. List all that apply. Explain your reasoning, P(-2, -3). Q(2, - 6). R(6. - 3). S(2, 1)
Answer:
RectangleStep-by-step explanation:
Given the coordinates P(-2, -3). Q(2, - 6). R(6. - 3). S(2, 1), to determine the type of shape the quadrilateral is, we need to find the measure of the sides. To get the measure of each sides, we will take the distance between the adjacent coordinates using the formula to formula for calculating the distance between two points as shown;
D = √(x₂-x₁)²-(y₂-y₁)²
For the side PQ with the coordinate P(-2, -3). Q(2, - 6)
PQ = √(2-(-2))²-(-6-(-3))²
PQ = √(2+2)²-(-6+3)²
PQ = √4²-(-3)²
PQ = √16-9
PQ = √7
For the side QR with the coordinate Q(2, - 6) and R(6, -3)
QR = √(6-2))²-(-3-(-6))²
QR = √(4)²-(3)²
QR = √16-9
QR = √7
For the side RS with the coordinate R(6. - 3) and S(2, 1)
RS = √(2-6)²-(1-(-3))²
RS = √(-4)²-(1+3)²
RS = √16-(4)²
RS = √16-16
RS = 0
For the side PS with the coordinate P(-2, -3) and S(2, 1)
PS = √(2-(-2))²-(1-(-3))²
PS = √(4)²-(1+3)²
PS = √16-(4)²
PS = √16-16
PS = 0
For the quadrilateral to be a rectangle, then two of its sides must be equal and parallel to each other. A rectangle is a plane shape that has two of its adjacent sides equal and parallel to each other. Since two of he sides are equal i.e RS = PS and PQ = QR then the quadrilateral PQRS is a rectangle. Both rhombus and square has all of its sides equal thereby making them wrong.
What true bearing is WSW equivalent to?
Answer:
S 67.50° W
Step-by-step explanation:
if x ≥ 5, then 4x _ 20 a) > b) < c) ≤ d) ≥ e) =
Answer: d
Step-by-step explanation:
x*4=4x
5*4=20
Thus, all the new inequality is is a new, more complex version of the original. Thus, the sign stays the same.
Hope it helps <3
Answer:
d) ≥ .
Step-by-step explanation:
When x = 5 4x = 20.
hen x > 5 4x > 20.
FI = 20 IH = 19. Calculate the length of GI
Answer:
7.55
Step-by-step explanation:
3/x = x/19
x² = 57
x = 7.54983....
At a fun park, the cost of a rollercoaster ride and a ferris wheel ride is $10. The cost of a Gravitron ride and a Ferris wheel ride is $12. The cost of a rollercoaster ride and a Gravitron ride is $14. What is the cost of each ride?
Answer:
r = cost of rollercoaster = 6
f = cost of ferris wheel=4
g = cost of graviton=8
Step-by-step explanation:
r = cost of rollercoaster
f = cost of ferris wheel
g = cost of graviton
r+f = 10
g+f = 12
r+g = 14
Take the third equation and subtract the first equation
r+g =14
-r-f = -10
-------------------
g-f = 4
Take this and add it to the second equation
g-f = 4
g+f = 12
-------------------
2g = 16
Divide by 2
g = 8
Now find f
g+f = 12
8+f = 12
f = 12-8
f=4
Now find r
r+g =14
r+8 =14
r = 14-8
r = 6
The function d(s) = 0.0056s squared + 0.14s models the stopping distance
of a car, d(s), in metres, and the speed, s, in kilometres per hour. What
is the speed when the stopping distance is 7 m? Use a graph to solve.
Answer:
The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.
Step-by-step explanation:
Let be [tex]d(s) = 0.0056\cdot s^{2} + 0.14\cdot s[/tex], where [tex]d[/tex] is the stopping distance measured in metres and [tex]s[/tex] is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.
The procedure to find the speed related to the given stopping distance is described below:
1) Construct the graph of [tex]d(s)[/tex].
2) Add the function [tex]d = 7\,m[/tex].
3) The point of intersection between both curves contains the speed related to given stopping distance.
In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.
If the length of AC is2x and the length of BC is 3x-5, the value of x is
Answer:
The value of x is 5 units.
Step-by-step explanation:
Complete Question
In the figure CD is the perpendicular bisector of AB. If the length of AC is 2x and the length of BC is 3x - 5 . The value of x is ?
The figure is presented in the attached image to this solution.
Solution
Using the concept of similar triangles,
We can prove that triangles CDA is similar to triangle CDB.
This can be proved using the SAS congruence property that two sides and an angle between them are the same.
- Side AD = Side DB (Given in the diagram)
- Angle CDA = Angle CDB = 90° (Also evident from the diagram)
- Side CD = Side CD (common side to the two triangles)
Hence, it is evident that
Side AC = Side CB
2x = 3x - 5
3x - 2x = 5
x = 5 units.
Hope this Helps!!!
Mr rigo bought 49 bags
Answer:
77 bags
Step-by-step explanation:
if he brought 49 bags then he brought 28 more bags49+28=77
you are having a pizza making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (including myself the host) Once you have a total count of guests you have exactly the amount needed for ingredients. the dough and sauce that I have is 130 ounces all together. How many ounces of dough did I buy? Explain How many ounces of sauce did I buy? Explain How many guests are coming to the party? Explain
Answer: 78 ounces of dough was bought.
52 ounces of sauce was bought.
There were 13 guests .
Step-by-step explanation:
Let x = Number of guests
As per given, For each person 6 ounces of dough and 4 ounces of sauce is required.
i.e. Total ounces of dough and sauce together required = 6+4=10
The dough and sauce is 130 ounces all together.
i.e. [tex]10x=130[/tex]
Divide both sides by 10 , we get
x= 13
i.e. there were 13 guests .
Total ounces of dough = 6 x ( Number of guests) = 6 x 13= 78 ounces
hence, 78 ounces of dough was bought.
Total ounces of sauce = 4 x ( Number of guests) = 4 x 13= 52 ounces
hence, 52 ounces of sauce was bought.
The total ounces of dough is 78 ounces
The total ounces of sauce is 52 ounces
The total number of guests is 13
The equation that can be used to represent the question given is:
6a + 4a = 130
Where a represents the number of guests at the party.
The above equation means that the total ounces of dough and sauce bought is a function of the number of guests at the party. These total ounces is equal to 130.
6a + 4a = 130
10a = 130
a = 130 / 10
a = total number of guests = 13
The total ounces of dough = 13 x 6 = 78 ounces
The total ounces of sauce = 13 x 4 = 52 ounces
A similar question was solved here: https://brainly.com/question/16430804?referrer=searchResults
A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are longer than $1$ unit?
Answer:
4/25 = 0.16
Step-by-step explanation:
The shortest stick must be between 0 and 5/3. The probability that it is longer than 1 is therefore:
(5/3 − 1) / (5/3 − 0)
(2/3) / (5/3)
2/5
So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.
NEED HELP ASAP I DONT GET THIS
Answer:
x = 60
Step-by-step explanation:
In a circle, the sum of the angles that meet at a point is 360 degrees. So now that we have the total, we can subtract all the given information in the picture. We have 84, 75, 68, and x + 73. Now let us set up and equation for this problem.
360 = 84 + 75 + 68 + x + 73
Now combine like terms.
360 = x + 300
Now subtract 300 on both sides.
x = 60
And this is the value of x.
Answer:
50 degrees
Step-by-step explanation:
84 + 75 + 68 = 227
227 - 360 = 133
133 - 73 = 50
The answer is 50 degrees.
There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and then go back down?
Answer:
two I have no idea of the question
Answer: 49 ways
Step-by-step explanation: 7 possible ways up, 7 ways down
Up and back on Rt 1, Up on Rt 1 down on Rt2 Up on Rt 1 down on Rt3. . . . . Up on Rt 7, down on Rt7
You can imagine what was left out of the explanation.
Just Multiply 7×7 = 49
Please answer it now in two minutes
Answer:
[tex] r = 17.3 [/tex]
Step-by-step explanation:
We are given the following:
m < T = 87°
TV = u = 11
TU = v = 14
UV = t = ?
Use the Law of Cosines to solve for the value of t as explained below:
[tex] t^2 = u^2 + v^2 - 2(u)(v)*cos(T) [/tex]
[tex] r^2 = 11^2 + 14^2 - 2(11)(14)*cos(87) [/tex]
[tex] r^2 = 121 + 196 - 16.12 [/tex]
[tex] r^2 = 317 - 16.12 [/tex]
[tex] r^2 = 300.88 [/tex]
[tex] r = \sqrt{300.88} [/tex]
[tex] r = 17.3 [/tex] (to the nearest tenth)
please help me :) Which expression is equivalent to 2 × 2 × 2 × 2 × 2? A.) 10 B.) 2 to the 5 power C.) 4 to the 2 power D.) 5 to the 2 power
Answer: ITS B
Step-by-step explanation:
(2)(2)(2)(2)(2)
=32
2^5
=32
Hey there! I'm happy to help!
We are talking about exponents here, which is the power to which a number is raised. What does it mean to raise a number to a power? It means to multiply it a certain number times.
For example, 3 to the the 3rd power is 27 because you multiply 3 three times (3×3×3), giving you 27.
We have 2×2×2×2×2. We see that we have the number 2 and need to raise it to a certain power. Since there are 5 2s, we are raising to the 5th power.
Therefore, the answer is B.) 2 to the 5 power.
Have a wonderful day! :D
Can someone help me with these two questions I don’t know how to do it and it’s due at 11 I would really appreciate it
Answer:
6. Unit rate = 1.3 yards per second
7. Unit rate = 0.8 page per minute
Step-by-step explanation:
The unit rate is simply the comparison of 2 quantities, whereby dividing both, the denominator must be 1.
For example, in the graph given comparing distance walked over time, when x (time in s) = 3, y (distance in yd) = 4.
Unit rate represented by the slope is the yards covered per second.
Unit rate = [tex] \frac{4}{3} = 1.33 [/tex]
Unit rate ≈ 1.3 yards per second
For the second graph given, unit rate of the slope is the number of pages read per minute.
From the graph, 4 pages is read at 5 minutes.
Thus,
Unit rate = [tex] \frac{4}{5} = 0.8 [/tex]
Unit rate = 0.8 page per minute
A basketball player scored 9 points in two games. What could her scores in each of the games be? This question helps children think about a problem for which there's a range of possible answers. For young children, decomposing numbers within 10 is an important reasoning strategy. There are ten possible answers, for whether the players scored 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 points in Game 1. Changing the number of points is a way to tailor the question for individual needs.
Answer:
The correct ans is...
4 and 5
Hope this helps....
Pls mark my ans as brainliest