For the system of equations y = 2 x + 3 and 2 y - x = 12, the solution will be x = 2 and y = 7.
We are given the system of equations:
y = 2 x + 3 … (1)
2 y - x = 12 …. (2)
We need to solve it to find the values of x and y.
Putting the value of y from equation (1) in equation (2), we get that:
2 y - x = 12
2 (2 x + 3) - x = 12
Multiplying the brackets, we get that:
4 x + 6 - x = 12
3 x + 6 = 12
Subtract 6 from both the sides, we get that:
3 x + 6 - 6 = 12 - 6
3 x = 6
Divide both sides by 3. we get that:
3 x / 3 = 6 / 3
x = 2
y = 2 x + 3
y = 2 (2) + 3
y = 4 + 3
y = 7
Therefore, we get that, for the system of equations y = 2 x + 3 and 2 y - x = 12, the solution will be x = 2 and y = 7.
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Solve for x
5x – 7 = 18
Answer:
x = 5
Step-by-step explanation:
5 x 5 = 25
25 - 7 = 18
what is the value of x?
Enter your answer in box.
Answer:
Step-by-step explanation:
white cops
Divide.
76 divded by 17
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
4.47 OR,. 4 whole 8/17
4 is the whole 8 is remainder and divisor is 17 as well as dividend is 76
Step-by-step explanation:
[tex] \frac{76}{17} [/tex]
By dividing;
=4.47
Desmos here is a rectangular prism made from a stack of cubes. Determine the volume of the stack.
Answer:
Volume = 4 cubic units
Hope this helps :)
Step-by-step explanation:
Formula for Volume of a Rectangular prism = l × w × h
1. Substitute the letters l, w, h with the numbers.
V = 1 × 1 × 4
V = 1 × 4
V = 4 cubic units
how do i simplify (-9)
Answer:
(-9) Simplify is just 9
Step-by-step explanation:
A location on Earth’s equator moves approximately 2.075 miles in 2 hours because of Earth’s rotation on its axis. At this rate, how far approximately does this location rotate in 1 day? (2 hours = 1/12 day)
The location rotates 24.9 miles in 1 day
It is a method in which one finds the value of a unit from the value of a number of units and the value of a number of units from the value of a unit.
In the unit method, we always count the value of a unit or quantity first, and then we calculate the value of more or less quantities. This is why this method is called the unitary method.
Earth equator moves 2.075 miles in 2 hours, We need to find how far does this location rotate in 1 day
Using Unitary Method
2 hours = 2.075 miles
1 hour = 2.075/2 mile
1 hour = 1.0375 mile
1 day = 24 hours
24 hours = 1.0375 *24
= 24.9 miles
The location rotates 24.9 miles in 1 day
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Please help math is my weakest subject and I have no idea what to do I’ll give brainliest!!!!
Using translation concepts, we have that:
The vertex of the parent function is (0,0).The vertex of the new function is at (-3,-1).a = -0.5.b = 0.h = -3.k = -1.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is defined by:
f(x) = |x|.
And has vertex at (0,0).
After a translation, the absolute value function is given by:
g(x) = |a(x - h)| + k.
The vertex is at: (h, k).
In this problem, the function is:
g(x) = |-0.5(x + 3)| - 1.
Hence:
The vertex of the new function is at (-3,-1).a = -0.5.b = 0.h = -3.k = -1.More can be learned about translation concepts at https://brainly.com/question/4521517
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I need help with these questions ! Please anyone ?
Answer:
Just plug-in the variable associated with the question.
Step-by-step explanation:
2) w(n) = n² + 5n --> replace the n with 6
4) w(x) = 3x - 1 --> replace the x with -8
6) k(n) = 3n² - 1 --> replace the n with 4
8) g(a) = -2a² + 5 --> replace the a with 9
For example, for number 8, the answer would be -157 if you plug in the value.
g(9) = -2(9)² + 5
= -2(81) +5
= -165 + 5
= -157
can I get some help , there's more questions if u can add me on sn^p and help me please
Answer:
-8
Step-by-step explanation:
Substitute -8 for x
h(-8) = ((-8)² + 3(-8)) ÷ (4(-8) + 27))
= (64 - 24) ÷ (-32 + 27)
= 40 ÷ -5
= -8
The radius of circle S is half the radius of circle L. The radius of circle L is 8 millimeters.
Which measurement is closest to the area of circle S in square millimeters?
A 50.24 mm²
B 25.12mm²
C 200.96mm²
D 12.56mm²
Answer:b
Step-by-step explanation:
The area of circle S will be 50.24 mm². Then the correct option is A.
What is the area of the circle?Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The radius of circle S is half the radius of circle L.
Let 'r₁' be the radius of circle S and 'r₂' be the radius of circle L. Then the equation is given as
r₁ = r₂ / 2
The radius of circle L is 8 millimeters. Then the radius of the circle S is calculated as,
r₁ = 8 / 2
r₁ = 4 mm
The area of the circle S is calculated as,
A = πr₁²
A = 3.14 x (4)²
A = 50.24 mm²
The range of the circle S is 4 mm. Then the region of the circle S will be 50.24 mm². Then the right choice is A.
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[tex] \frac{ \zeta(2)}{2} - \frac{ \zeta(3)}3 + \frac{ \zeta(4)}{4} - \frac{ \zeta(5)}{5} + \cdots \cdots \\ [/tex]
Recall the Weierstrass product definition of the gamma function,
[tex]\displaystyle \frac1{\Gamma(z)} = ze^{\gamma z} \prod_{n=1}^\infty \left(1+\frac zn\right) e^{-z/n}[/tex]
from which we can obtain the log-gamma (i.e. logarithm of gamma) function,
[tex]\displaystyle -\ln\Gamma(z) = \ln(z) + \gamma z + \sum_{n=1}^\infty \left(\ln\left(1 + \frac zn\right) - \frac zn\right)[/tex]
where [tex]\gamma[/tex] is the Euler-Mascheroni constant.
Let [tex]z=1[/tex], so that
[tex]\displaystyle \gamma = \sum_{n=1}^\infty \left(\frac1n - \ln\left(1 + \frac 1n\right)\right)[/tex]
Recall the power series
[tex]\displaystyle \ln(1 + x) = - \sum_{n=1}^\infty \frac{(-x)^n}n[/tex]
Along with the definition of the Riemann zeta function,
[tex]\displaystyle \zeta(a) = \sum_{b=1}^\infty \frac1{b^a}[/tex]
we find that
[tex]\displaystyle \gamma = \sum_{n=1}^\infty \left(\frac1n + \sum_{m=1}^\infty \frac1m\left(-\frac1n\right)^m\right) \\\\ ~~~~ = \sum_{n=1}^\infty \sum_{m=2}^\infty \frac1m \left(-\frac1n\right)^m \\\\ ~~~~ = \sum_{m=2}^\infty \frac{(-1)^m}m \sum_{n=1}^\infty \frac1{n^m} \\\\ ~~~~ = \sum_{m=2}^\infty \frac{(-1)^m \zeta(m)}m[/tex]
so the original sum's value is [tex]\boxed{\gamma\approx0.577216}[/tex].
Work out (19-4)² ÷ (34 − 5²)
Answer:
25
______________________________________________________
[tex]\left(19-4\right)^2\div \left(34-5^2\right)[/tex]
First, use good ol' PEMDAS to solve the order of operations!
[tex]=15^2\div \left(34-5^2\right)[/tex]
Then, simplify what's inside the parenthesis.
[tex]=15^2\div \:9[/tex]
Calculate the exponents.
[tex]=225\div \:9[/tex]
Divide.
[tex]225\div \:9=25[/tex]
______________________________________________________
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Have a WONDERFUL day! (:
The value of ( 19 - 4 )² ÷ (34 − 5²) is 25.
Here,
The expression is;
( 19 - 4 )² ÷ (34 − 5²)
We have to find the value of given expression.
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
Now,
The expression is;
( 19 - 4 )² ÷ (34 − 5²)
To solve, we get;
⇒ ( 19 - 4 )² ÷ (34 − 5²)
⇒ ( 15 )² ÷ (34 − 25)
⇒ 225 ÷ 9
By divide,
⇒ 25
Hence, The value of ( 19 - 4 )² ÷ (34 − 5²) is 25.
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8³-15(17-3)-(7²)
What is the answer
Answer:
253
Step-by-step explanation:
512-15×14-49
512-210-49
302-49
= 253 Ans
Here is a 5 by 8 grid
Create a design so that the ratio of unshaded squares to shaded squares is 3 : 2
On solving the linear equation, There are in total 24 unshaded squares and 16 shaded squares.
What is a linear equation?Ax+By=C is the usual form for two-variable linear equations. A typical form linear equation is, for instance, 2x+3y=5. When an equation is provided in this format, finding both intercepts is rather simple (x and y).
squares, where x= number of squares
2x = shaded squares
Number of unshaded squares = 3x.
This is due to the fact that there are 3 times as many unshaded squares as there are shaded squares (2 times more unshaded = 3*). (shaded)
Overall, there are 40 squares (5 * 8), therefore 40 total squares—shaded and unshaded—are present.
2x+3x = 40
5x = 40
x = 40/5
x = 8
There are 3×8 = 24 unshaded squares
8×2 = 16 shaded squares in all.
Therefore, you may shade in 8 squares whatever you choose.
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you roll a number cube and record the result. then you roll again until get a greater number. if yiu do this 100 times, about how manybtimes do yiu think you will get that are 2 apart
Reroll 6’s = 26 times
Failed turn on 6's = 21 times
If the initial roll is a 6, the question enters an unending cycle. Reroll till it isn't 6, or simply treat it as a failed round since the roll was legal and didn't result in a pair of twos.
The likelihood of each number being rolled is the same.
If the first roll is n, there are (6 - n) options for the greater number. Thus p = 1/(6 - n) for a specific (possible) result such as n + 2.
Then,
p(2 apart) = p(1, then 3) + p(2, then 4) + p(3, then 5) + p(4, then 6)
Reroll 6’s:
p(2 apart) = (1/5)(1/5) + (1/5)(1/4) + (1/5)(1/3) + (1/5)(1/2)
p(2 apart) = (1/5)(1/5 + 1/4 + 1/3 + 1/2) = 0.25666…
So for 100 times, we will get 26 times 2 apart
Failed turn on 6:
p(2 apart) = (1/6)(1/5) + (1/6)(1/4) + (1/6)(1/3) + (1/6)(1/2)
p(2 apart) = (1/6)(1/5 + 1/4 + 1/3 + 1/2) = 0.2138
So for 100 times, we will get 21 times 2 apart
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2) Find the greatest common divisor and the least common multiple of 105 and 84.
Answer:
[tex]lcm = 420[/tex]
[tex]hcf = 21[/tex]
What is the value of 14-2.3+42?
Answer: 53.7
I hope this helps!
what value does the 8 represent in the number 281.9
Bruno’s burgers has a cook to server ratio of 2:5, total number of servers & cooks is 42, how many more servers does Bruno’s burgers employ than cooks
There are 18 more servers than cooks at Bruno's burgers when the ratio is 2 : 5.
We are given that the ratio of cook to server in Bruno's Burgers is given by 2 : 5
We also know that the total number of cooks and servers = 42
Now, let number of cooks be 2 x and the number of servers be 5 x
So, ATQ, we get that:
2 x + 5 x = 42
7 x = 42
x = 42 / 7
x = 6
Number of cooks = 2 x = 2 (6) = 12
Number of servers = 5 x = 5 (6) = 30.
Difference = 30 - 12 = 18
Therefore, we get that, there are 18 more servers than cooks at Bruno's burgers when the ratio is given as 2 : 5.
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Function yes or no whag is the domain and range?
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
Step-by-step explanation:
Please help me w the following or else I can’t go to my softball game tomorrow ♀️
The graph cannot be used to complete the table of values and the missing value of a is 7
How to determine the missing value of y's?The graph represents the given parameter
There are no points plotted on the graph
This means that the table of values cannot be completed
Hence, the graph cannot be used to complete the table of values
How to determine the missing value of a?The table represents the given parameter
On the table, we have the following points
(x, y) = (0, -2), (2, 4), (3, a)
Also, we have that the points fall on a line
This means that the points make a linear equation
By analyzing the x and y values, we can see that
As x increases by 2, y increases by 6
This means that as x increases by 1, y increases by 3
So, when x = 3, the value of y is
y = 4 + 3
Evaluate
y = 7
Rewrite as
a= 7
Hence, the missing value of a is 7
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Do changing tires from the factory tires has an effect on how the car runs? Explain why!
Find the rational number halfway between the two numbers below.
-1/3 and -3/10
Answer:
-19/60
Step-by-step explanation:
You want the rational number halfway between -1/3 and -3/10.
Average valueThe average of two numbers is the number halfway between them. It is their sum, divided by two.
Effectively, you are being asked for the average of -1/3 and -3/10.
[tex]\text{average }=\left(-\dfrac{1}{3}-\dfrac{3}{10}\right)\times\dfrac{1}{2}=-\dfrac{1\cdot10+3\cdot3}{3\cdot10\cdot2}=\boxed{-\dfrac{19}{60}}[/tex]
1. Solve 2|x-1| = x+8 for x.
20
x = ²0
O{0,-/2}
Ox= -1/32
O no solutions
O
Answer:
no solution
Step-by-step explanation:
2|x-1|=½X+8
|x-1|=x+1
2(x+1)=½X+8
2x+2=½X+8
multiple both side by 2
4x+4=x+16
4x-x=16-4
3x=12
x=4
f(a)=-2a-4
g(a) =a^ 2+3
Find (f/g)(7)
[tex](f/g)(7)=-\frac{9}{26}[/tex].
Step-by-step explanation:1. Write the expressions.[tex]f(a)=-2a-4\\ \\g(a) =a^ 2+3[/tex]
2. Since we need to find f/g, we take the arguments of both f(a) and g(a) and divide them.[tex]\frac{-2a-4}{a^ 2+3}[/tex]
3. Evaluate the expression by the indicated number.For this, we substitute a by 7 throughout the entire expression and calculate.
[tex]f/g(7)=\frac{-2(7)-4}{(7)^ 2+3}=\frac{-18}{52} =-\frac{9}{26}[/tex]
4. Express your result.[tex](f/g)(7)=-\frac{9}{26}[/tex].
what is 20 percent of 100?
Answer: 20
Step-by-step explanation: 20÷100×100 =20
[tex]\boxed{\begin{minipage}{5cm}20\:percent\:of\:100\:is\:20, or one-fifth \\ of 100. \end{minipage}}[/tex]
HELP ME OUT PLEASE!!!!!!!
Answer:
y = 1/3x - 3
Combine the like terms to create an equivalent expression. m + 8 + 6n – 3 =
Answer:
m+6n+5
Step-by-step explanation:
Let's simplify step-by-step.
m+8+6n−3
=m+8+6n+−3
Combine Like Terms:
=m+8+6n+−3
=(m)+(6n)+(8+−3)
=m+6n+5
A and B are vertical angles. If mA = (3x +22)° and m/B= (7x – 22)°,
then find the value of x.
Answer:
x = 11
Step-by-step explanation:
If given angles m∠A = (3x +22)° and m∠B= (7x – 22)°, the value of x is 11.
Vertical angles are formed by the intersection of two lines. They are opposite to each other and have equal measures. In this case, we have two vertical angles, ∠A and ∠B.
Given that m∠A = (3x + 22)° and m∠B = (7x - 22)°, we can set up an equation based on the fact that vertical angles are equal.
(3x + 22)° = (7x - 22)°
To solve for x, we can simplify the equation:
3x + 22 = 7x - 22
Next, we can isolate the variable x by moving the terms containing x to one side of the equation:
3x - 7x = -22 - 22
-4x = -44
Finally, we divide both sides of the equation by -4 to solve for x:
x = -44 / -4
x = 11
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Find the minimum or maximum value of f(x)=-0.5x^2+2x-5
Answer:
maximum = (2,-3)
Step-by-step explanation: