[tex]g = \frac{x}{5} - \frac{6}{5x} - \frac{3}{5} [/tex]
Step-by-step explanation:
[tex]3 + 5g = \frac{ {x}^{2} - 6 }{x} \\ 5g = x - \frac{6}{x} - 3 \\ g = x - \frac{ \frac{6}{x} - 3}{5} \\ g = \frac{x}{5} - \frac{ \frac{6}{x} }{5} - \frac{3}{5} [/tex]
In general, when solving a radical equation with square roots, you should first
isolate the __and then square both sides.
A. variable
B. radical
C. operator
D. coefficient
The correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.
How to solve radical equations?To solve radical equations, one common technique is to isolate the radical term first, then take both sides of the equation to a power to remove the radical.
Therefore the correct answer is option B which is when solving a radical equation with square roots, you should first.isolate the radical and then square both sides.
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HELPP PLEASE ILL MAKE YOU THE BRAINIEST Find the area of the rhombus
Answer:
D1×D2/2sq
445×5= 225
225/2
=112.5
Which of the following situations can be defined using an exponential function?
A The value of the stocks decreased by $100 last year.
B The number of bacteria decreases by 7% each hour.
C The number of bacteria increases by 700 each hours.
D The value of the stocks increases by $10 every year you own them.
The situation which can be defined using an exponential function is "The number of bacteria decreases by 7% each hour".
What is an exponential function?An exponential function is used to represent a situation in which values of an event do not increase at a constant or linear rate.
From the above,
The value of the stocks decreased by $100 last year is a linear function.The number of bacteria increases by 700 each hour is a linear function.The value of the stocks increases by $10 every year you own them is a linear function.Learn more about exponential function:
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If 2^2^x = 2^3 what is the value of x
Answer:
[tex]\dfrac 32[/tex]
Step-by-step explanation:
[tex]~~~~~~~2^{2x} = 2^3\\\\\implies \ln\left(2^{2x} \right) = \ln (2^3)\\\\\implies 2x \ln(2) = 3 \ln(2) \\\\\implies 2x = 3\\\\\implies x = \dfrac 32[/tex]
Answer:
B
Step-by-step explanation:
Which of the following tables represent a function?
A.
X 3 3 4 4
Y 2 -2 3 -3
B.
X 5 -5 5 -5
Y 2 2 8 8
C.
3 3 5 5
Y 4 5 6 7
D.
X 4 -4 5 -5
Y 2 2 3 3
The 2 because I am goated
Step-by-step explanation:
Please I need HELP!!!!!!
Answer:
I just need points I don't know your answer
Step-by-step explanation:
Find the height in feet of the missile after 5 seconds in the air
The height in feet of the missile after 5 seconds in the air is; 875 ft
How to find the height of a Projectile?
We are given the quadratic function of the height in terms of time, x, in seconds as; h(x) = - 17x² + 260x
where;
h(x) is height after x seconds
x seconds is time of missile in air when thrown.
Thus, after five seconds, we have;
h(5) = - 17(5)² + 260(5)
h(5) = -425 + 1300
h(5) = 875 feet
Complete question is;
A missile is launched from the ground. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.
After 1 second, the missile is 243 feet in the air; after 2 seconds, it is 452 feet in the air.
The height of the can be represented by this function:
h(x) = - 17x² + 260x
Find the height, in feet, of the missile after 5 seconds in the air.
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Find CD.
A) 5
B) 28
C) 56
D) 96
Answer:
C) 56
Step-by-step explanation:
. What is the length of BC¯¯?
2. What is the length of AC¯¯?
3. What is the length of AD
According to the histogram shown, how many hostel rooms are there?
Answer:
10
Step-by-step explanation:
look at the y axis for the answer to a question like this
Answer:
There are 25 hostel rooms.
Step-by-step explanation:
We simply need to add up the height of each bar.
3+5+8+6+2+1=25 hostel rooms
x^2 - 3x - 28 factor compleatly
Answer:
Step-by-step explanation:
x² - 3x - 28
What factors multiply to -28 and add to -3?
-7 and 4.
(x - 7) (x + 4)
Answer:
(x - 7)(x + 4)
Step-by-step explanation:
To find the factors, you just need to ask yourself the question: Which two numbers multiply to -28 but add to -3?
Simple guess-and-check will lead you to the numbers -7 and 4.
-7 x 4 = -28
-7 + 4 = -3
These numbers will make up the factored equation.
x² - 3x - 28
(x - 7)(x + 4)
You can check your answer by re-expanding the factored expression. This is done by multiplying each term in the first parentheses by each term in the second parentheses.
(x - 7)(x + 4) ----> x² - 7x + 4x - 28 ----> x² - 3x - 28
Help me please !!!!!!!!!
Answer:
A
Step-by-step explanation:
The solution matrices shown are the result of reducing the augmented coefficient matrix to "reduced row-echelon form". Many calculators and spreadsheets have functions specifically for that purpose.
The attachment shows the result of a TI-84 work-alike calculator's reduction of the coefficient matrix. It matches the first choice.
__
Additional comment
When the equations are written in the form shown here, with the variables in the same order, and the constant on the right side of the equal sign, the augmented matrix is simply the matrix of the numbers. It is shown as the argument of the RREF function in the attachment.
The left-right order of the variables on the left side of the equal sign matches the top-down order of the solution values in the rightmost column of the reduced matrix. That is, ...
a = 2, b = -2, c = 0.
A water tank that initially contained 200 gallons of water is leaking water at a constant rate of 4 gallons per minute. For the amount of time the tank has water, which of the following function models gives the number of gallons, G. in the tank t minutes after the leak started?
a. g(t) = 196 - t
b. g(t) = 200 - 4t
c. g(t) = 200t - 4
d. g(t) = 200t - 4r^2
e. g(t) = 200(3/4)^t
Answer:
b. g(t) = 200 - 4t
Step-by-step explanation:
I don't know how to explain this, but here is the answer.
Charlotte surveyed 400 of the students in her school about their favorite color. 392 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?
I need help asap please? and this is for the math question? what is the missing side and exterior angle of the triangle?
Answer:
the missing angle is 30 and the missing exterior angle is 150
Step-by-step explanation:
180-90=90-60=30
180-30=150
Answer: Exterior angle = 150 degrees
Step-by-step explanation:
Hope that helps!
:)
8. Which of these is the primary reason for the extinction of a species?
loss of habitat
overhunting
O pollution
Osudden environmental changes
Answer:
my bet would be d)
Step-by-step explanation:
ur asking math students btw
Please help me fast and thank you if you do
Answer:
8 > u > 6
Step-by-step explanation:
We have to solve this inequality as 2 separate inequalities.
==============================================================
Inequality 1 :
⇒ 10 > 5u/4
⇒ 5u < 10 × 4
⇒ 5u < 40
⇒ u < 8 [Box 1]
============================================================
Inequality 2 :
⇒ 5u/4 > 15/2
⇒ 5u/2 > 15
⇒ u/2 > 3
⇒ u > 3 × 2
⇒ u > 6 [Box 2]
============================================================
Solution :
⇒ 8 > u > 6
Find the quadratic equation with integral coefficients having roots 6 and 2.
The quadratic equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
How to determine the quadratic equation?The roots are given as:
x = 6 and x = 2
Rewrite as:
x - 6 = 0 and x - 2 = 0
Multiply both equations
(x - 6)(x - 2) = 0 * 0
Evaluate the product
x^2 - 6x - 2x + 12 = 0
Evaluate the difference
x^2 - 8x + 12 = 0
Hence, the equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
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Marcella is flying a kite in a competition. To win the competition, her kite string must have at least 162 feet released. The kite is 75 feet above her. The angle of the string and her hand is forming a 28 degree angle. Will she be able to win the competition? Show your work.
For question 1, will she win the competition? Type yes or no
Marcella won't be able to win the competition because the length of the rope is less than 162 feet.
How to find the sides of a right angle triangle?
The situation forms a right angle triangle.
The kite released rope is the hypotenuse side of the triangle formed.
The opposite side of the triangle is the height of the kite from the ground.
Therefore,
sin 28 = opposite / hypotenuse
sin 28 = 75 / h
h = 75 / sin 28
h = 75 / 0.46947156278
h = 159.754085116
h ≈ 160 feet
Therefore, she won't be able to win the competition because the length of the rope is less than 162 feet.
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Simplify the expression:
(6x² − x + 5)
minus
(8x² + 8x-7)
Please help :)))))))))))))
Answer:
\frac{9}{20} (or 9/20, if this doesn't show up the right way in my answer.)
Step-by-step explanation:
Fist what we'll do here is divide 1000 by 450. 1000÷450=2\frac{2}{9} (2/9, if this doesn't show up the right way either).
Then, we'll apply the inverse formula. In case you've forgotten, the inverse of a number is what you have to multiply a number by to get 1. The inverse of 2/9 (too lazy to put it in that form anymore) is 0.45, or 9/20.
If that doesn't work, I might be interpreting this incorrectly.
Here.
Answer:
0.05, or 1/20
Step-by-step explanation:
So, we have the fraction. we can simplify it to 20/9, making the numerator 20. As previously stated, the inverse of a number is what you have to multiply a number by to get 1. So, 1÷20=0.05
Let me know which one works!
Warmest regards,
Sanjana
Professional 6th grader and quantum physics lover
a 4 1/2 inch candle burns down in 9 hours. after how many hours will it have burned 4 1/4 inches? use the drop down menu to state your answer as a decimal, mixed number, or improper fraction.
The number of hours it will take to burn 4 1/4 inches of candle is 8.5 hours in decimal.
How to solve fractions?Using ratio to solve, find the ratio of candle length to the time taken to burn down
let
x = time taken by 4 1/4 inches candle4 1/2 : 9 = 4 1/4 : x
9/2 ÷ 9 = 17/4 ÷ x
9/2 × 1/9 = 17/4 × 1/x
1/2 = 17/4x
cross product1 × 4x = 2 × 17
4x = 34
x = 34/4
x = 8.5 hours
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Please help, i need right answers and be help if it with proof, ty! Figure G is rotated 90degree clockwise about the origin and then reflected over the x-axis, forming figure H.
Which sequence of transformations will produce the same results?
a reflection over the y-axis and then a rotation 90degree clockwise about the origin
a reflection over the x-axis and then a rotation 90degree clockwise about the origin
a 180degree rotation about the origin
a reflection over the y-axis and then a reflection over the x-axis
Answer:
A. A reflection over the y-axis and then a rotation 90 degree clockwise about the origin.
Step-by-step explanation:
Given information: Figure G is rotated 90degree clockwise about the origin and then reflected over the x-axis, forming figure H.
This means Figure H is made by G rotated CLOCKWISE and reflected over the X-AXIS.A sequence of transformations to produce the same results could be the opposite of this, wherein Figure H undergoes a series of transformations to form Figure G.
A reflection over the y-axis flips figure H like folding a piece of paper in half vertically. To help visualize, the point (5, -2) becomes (-5, -2). A 90 degree clockwise turn about the origin makes the point (-5, -2) on figure H to become (-2, 5). Figure G has the same point at (-2, 5).so, a reflection of figure H over the y-axis and then a rotation 90 degree clockwise about the origin will form figure G, thus producing the same results.
A force F, of 25 newtons pulls at an angle of 20° above due east
A force F₂ of 35 newtons pulls at an angle of 55° below due west
Find the magnitude and direction of the resultant force
A force F, of 25 newtons pulls at an angle of 20° above due east
A force F₂ of 35 newtons pulls at an angle of 55° below due west
Find the magnitude and direction of the resultant force
Write 0.15 as a fraction in the simplest form.
Answer:
3/20
Step-by-step explanation:
0.15 = 15/100
This is not simplified though :
15/100 ÷ 5/5 = 3/20
This is simplified
Hope this helped and brainliest please.
solve pls brainliest
Step-by-step explanation:
(−424.9) × (-0.1) = 42.49
2.7 × (−0.5) = -1.35
Answer: Heyaa! ~
Your Answers when Multiped are...
42.49 -1.35Step-by-step explanation:
-424.9(-0.1)= 42.492.7 × (−0.5) = -1.35- Multiplied. -
Hopefully this helps you! ~
help please I will give you the brianliest
Answer:
66
Step-by-step explanation:
A=12×11/2=66
Hope this helps:)
Find the value of x.
x = [?]
what is the answer to 54785 plus 43543546546546
The sun of two numbers is 7 and a different 1 what are the two numbers
Answer:
3 and 4
Step-by-step explanation:
given that the difference is 7, two numbers that add up to 7 are 3 and 4.
A store sells almonds for $7 per pound, cashews for $10 per pound, and walnuts for $12 per pound. A customer buys 12 pounds of mixed nuts consisting of almonds, cashews, and walnuts for $118. The customer buys 2 more pounds of walnuts than cashews. The matrix below represents this situation.
If the reduced row echelon form of this matrix represents the amount of each type of nut the customer buys, which statement is a possible interpretation of the results?
One possible interpretation of the results is that the customer buys 6 pounds of almonds, 4 pounds of cashews, and 2 pounds of walnuts to achieve a total cost of $118.
To determine the amount of each type of nut the customer buys, we can set up a system of equations based on the given information.
Let's use the variables:
A = pounds of almonds
C = pounds of cashews
W = pounds of walnuts
From the given information, we can create the following equations:
A + C + W = 12 (since the customer buys a total of 12 pounds of mixed nuts)
7A + 10C + 12W = 118 (since the total cost of the nuts is $118)
W = C + 2 (since the customer buys 2 more pounds of walnuts than cashews)
We can now represent this system of equations as a matrix:
[1 1 1 12]
[7 10 12 118]
[0 -1 1 2]
To find the reduced row echelon form of this matrix, we can use Gaussian elimination or a similar method. Solving the system of equations represented by the matrix, we obtain the following reduced row echelon form:
[1 0 2 6]
[0 1 -3 4]
[0 0 0 0]
Now, let's interpret the results:
From the reduced row echelon form, we can deduce that there are infinitely many solutions to this system of equations. This means that there are multiple possible combinations of almond, cashew, and walnut quantities that satisfy the given conditions.
One possible interpretation of the results could be that the customer buys 6 pounds of almonds, 4 pounds of cashews, and 0 pounds of walnuts. This satisfies the equation A + C + W = 12, and the total cost of nuts is $7 * 6 + $10 * 4 + $12 * 0 = $42 + $40 + $0 = $82. However, since the given total cost is $118, this interpretation is not valid.
Another possible interpretation could be that the customer buys 6 pounds of almonds, 4 pounds of cashews, and 2 pounds of walnuts. This satisfies all the given conditions. The equation A + C + W = 12 holds true, and the total cost is $7 * 6 + $10 * 4 + $12 * 2 = $42 + $40 + $24 = $106, which matches the given total cost of $118.
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