Answer:
x=24
Step-by-step explanation:
6×(5/6)x +6(10)=6(30)
5x +60=180
5x +60-60=180 - 60
5x=180 -60
5x=120
5x/5 =120/5
x=24
HELP ON 1 & 2 THANK YOU
[1] n = -2
We will convert the words given into a mathematical equation and then solve by isolating the variable. Let n be "a number"
19 decreased by four times a number is 17
19 - four times a number is 17
19 - 4 n is 17
9 - 4n = 17
-
9 - 4n = 17
- 4n = 8
n = -2
[2] x = -1, y = 3, or (-1, 3)
I will plug the first equation into the second from the system of equations given to us because it already has an isolated variable, y.
2y - 2x = 8
2(2x + 5) - 2x = 8
4x + 10 - 2x = 8
2x = -2
x = -1
Now, I will plug this value back into the equation and solve for y.
y = 2x + 5
y = 2(-1) + 5
y = -2 + 5
y = 3
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! ~
2.) which number could not be a value of y if:
y = 4x2-6
a.) 30
b.) 10
c.) -6
d.)-12
The number that could not be a value of y if y = 4x² - 6 is -12.
What is the value of y for a function of f(x)?The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.
So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.
i.e.
y = 4(0) - 6
y = 0 - 6
y = -6
Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.
Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.
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Answer:
-12 is the answer.
Given the following function: y=x^2+10x+25 Using your knowledge of discriminants, how many solutions does this function have?
Answer:
One solutionStep-by-step explanation:
Given function:y = x² + 10x + 25This is a quadratic function.
A quadratic equation has:Two solutions if discriminant is positive;One solution if discriminant is zero;No solution if discriminant is negativeFind the discriminant of the given function:D = b² - 4ac = 10² - 4*1*25 = 100 - 100 = 0This function has one solution since its discriminant is zero.
Answer:
one real solution
Step-by-step explanation:
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]
Given function:
[tex]y=x^2+10x+25[/tex]
Therefore:
[tex]a = 1[/tex][tex]b = 10[/tex][tex]c = 25[/tex]Substitute the given values into the discriminant:
[tex]\implies 10^2-4(1)(25)=0[/tex]
As the discriminant equals zero, there is one real solution.
Evaluate l-x-2yl for x = -2 and y = 3.
Step-by-step explanation:
|...| means absolute value of "...". that means always the "+" value of "...", even if it is negative.
in other words
|-x| = x
|x| = x
|-x - 2y| for x = -2 and y = 3
|- -2 - 2×3| = |2 - 6| = |-4| = 4
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.
what is the answer to 54785 plus 43543546546546
f(x) = x g(x) = 1
What is the domain of ( g/f ) (x)?
Answer:
Step-by-step explanation:
First one- x=0
Second=All real numbers
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.
2/3 of a number is 48. What is 1/4 of the number ?
Answer:
your answer will be 18
Step-by-step explanation:
2/3 of 72 is 48, 1/4 of 72 is 18
i need some extra words here so hopefully this works
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.
X+17=38 which property is included in the justification for the steps used to solve the equation?
Looking at the problem statement, the question is asking for us to determine the justification for the steps that are used to help solve the equation. We are given the expression [tex]x + 17 = 38[/tex] to help achieve that goal.
Now that we know what we must do to finish this problem let us look how this equation can be solved. When the term solve the equation is used it refers to us solving for the unknown, in this case being the variable x. We can see that we have [tex]x + 17[/tex] on the left side and in order to solve the equation x must be alone so we would subtract 17 from both sides.
Subtract 17 from both sides
[tex]x + 17 = 38[/tex][tex]x + (17 - 17) = (38 - 17)[/tex][tex]x = (38 - 17)[/tex][tex]x = 21[/tex]Therefore, we know that we must subtract the same number from both sides and this justification is known as the Subtraction Property of Equality. This basically states that an equal value needs to be subtracted from both sides and it will become a new equation but with the same result.
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Given: x + 17 = 38
Algebraic Properties:
Addition: If a = b, then a + c = b + c
Subtraction: If a = b, then a - c = b - c
Multiplication: If a = b, then ac = bc
Division: If a = b, then a ÷ c = b ÷ c
To solve this equation, we know that we need to isolate the variable x. To do this, we need to subtract 17 from both sides to isolate x.
This is also known as the subtraction property of equality, which states that when the same thing is subtracted from both sides of an equation, the equation will still be balanced.
Subtract 17 from both sides:
x + 17 - 17 = 38 - 17
⟹ x = 21
Therefore, the subtraction property of equality is included in the steps used to solve this equation.
Learn more about the other properties:
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Simplify the expression:
(6x² − x + 5)
minus
(8x² + 8x-7)
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
Answer:
132°
Step-by-step explanation:
We use the circle theorem which states that :
Opposite angles in a cyclic quadrilateral add up to 180 .
Now we know that angles ADC and ABC add up to 180. So :
We make an equation and solve for x :
x+(3x-12) = 180
4x-12 = 180
4x = 192
x = 48
Now we substitute the value of x into Angle B :
3(48) -12 =
144 - 12 = 132
Angle B = 132 °
Hope this helped and have a good day
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:
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.
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
(Computer science)
The CPU fan rotation rate (R) was directly proportional to the ambient temperature (T). At a temperature of 25 degrees C, the CPU fan was rotating at 1150rpm. What would the rotation rate be for an ambient temperature of 30 degrees C?
Answer:1380
Step-by-step explanation: proportionality constant equals 1150/25=46. 46x30=1380
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.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
Please help me i need this finish by the hour
Answer:
60
Step-by-step explanation:
pls answer quickly, thanks!!
At the equilibrium price p, we can solve for the quantity of goods x :
demand = supply
5200 - 0.0005x = 2800 + 0.0003x
2400 = 0.0008x
x = 3,000,000
With this quantity of goods, the equilibrium price is
p = 5200 - 0.0005 (3,000,000)
p = 5200 - 1500
p = 3700
a straight line has gradient -2 and passes through the point (-3 , 10).
work out the equation of the line
give your answer in the form y=mx+c
Answer:
y = 4 - 2x
Step-by-step explanation:
That is the formula, in y = a + mx but it you want it in y = mx+c, it is y = -2x + 4
One ball is selected at random from a bag containing 12 balls of which x are white
a) what is the probability of selecting a white ball?
when a further 6 were white balls were added the probability of selecting a white ball is doubled
b) Find x
Answer:
a) 12/18
b) 6
Step-by-step explanation:
If adding 6 white balls doubles the probability then the original amount of balls is 6 and with the new amount of 18, the likelihood of picking a white ball becomes 12/18.
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
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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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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Identify the degree of the polynomial 6xy2 − xy + 8 + 12y.
Answer: Three
Step-by-step explanation:
I am going to assume the first value is 6xy² and not 6xy2
6xy² − xy + 8 + 12y
The term with the highest degree is 6xy² because it has three x and y variables (x + y + y is three).
The degree of the polynomial is the same as the degree of the highest term, so your answer is:
three
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Please I need HELP!!!!!!
Answer:
I just need points I don't know your answer
Step-by-step explanation:
(100 POINTS) Use the Internet or another resource to find the definition of the Fundamental Counting Principle. What does this principle state? How can the principle be used to help you identify a sample space for a compound event? What are the limitations of using the Fundamental Counting Principle when determining the probability of an outcome? Support your answers with an example.
Answer:
The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation