One of the solutions of the given equation y = 5x is (2,10)
The solution of an equation means if we substitute the value of this solution into the equation, it will produce the correct equality from the left side to the right side.
If the solution has 2 variables, for example x and y, and the solution is (a,b) means that if we replace x with a and y with b, the equality is correct.
The given equation is: y = 5x
For option (-2,10), substitute x = -2 and y = 10 into the equation:
10 = 5 . (-2)
10 = -10 (False)
Hence (-2,10) is not a solution.
For option (-5, 25), substitute x = -5 and y = 25 into the equation:
25 = 5 . (-5)
25 = -25 (False)
Hence (-5, 25) is not a solution.
For option (-3, 15), substitute x = -3 and y = 15 into the equation:
15 = 5 . (-3)
15 = -15 (False)
Hence (-3, 15) is not a solution.
There is no options in the problem that gives the correct equality. Looks like there is a typo.
Example of a solution of the given equation is (2,10), since if we substitute x = 2 and y = 10 into the equation:
10 = 5 . (2)
10 = 10 (True)
Hence (2, 10) is a solution.
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Distribute & Combine like terms in the following expression:
10x - 5y + 5 (5x + y)
Your answer:
Answer:
i think its -15x + 10y
Step-by-step explanation:
10x - 5y + 5 (5x + y)
10x- 5y + 25x+ 5y
combine
-15x + 10y
Esme wants to make a rectangular pen for her chickens. She has 140 feet of fencing available to use. She wants to put the pen against the side of her barn. In other words, one side of the pen does not need fencing. Determine the maximum possible area she can create.
Answer:
2450 square feet
Step-by-step explanation:
We can first draw a rectangle with one side labeled Esme's wall. Then on one of the sides perpendicular to the "wall", we can assign a variable "x" for its length. The opposite of that side must have the same length "x". The unlabeled side that is opposite to the wall must have a length of "140-2x" because only 140 feet of fencing is available.
The area of a rectangle is equal to its length times its width, so the area of Esme's pen must equal "x" times "140-2x". If we graph this on a graphing calculator, we get a concave-down parabola. Since the input (x-axis) of this graph is the length of "x" and the output (y-axis) is the area Esme's pen, the highest y-value (which is the y-value of the vertex) will be the highest area that she can create. The vertex of this graph is (35, 2450), so the maximum area is 2450 square feet.
The non-calculator method involves expanding the expression "x(140-2x)" and finding the vertex through converting the expression to vertex form. (but... I'm too lazy to write out the vertex form for this expression so sorry no work here)
Multiply and Simplify
√45 x √96
Answer:
[tex]12\sqrt{30}[/tex]
Step-by-step explanation:
Given:
[tex]\sqrt{45} \times \sqrt{96}[/tex]
Rewrite 45 as 9 · 5 and 96 as 16 · 6:
[tex]\implies \sqrt{9 \cdot 5} \times \sqrt{16 \cdot 6}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}:[/tex]
[tex]\implies \sqrt{9}\sqrt{5} \times \sqrt{16}\sqrt{6}[/tex]
Rewrite 9 as 3² and 16 as 4²:
[tex]\implies \sqrt{3^2}\sqrt{5} \times \sqrt{4^2}\sqrt{6}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0[/tex]
[tex]\implies 3\sqrt{5} \times 4\sqrt{6}[/tex]
Multiply 3 and 4:
[tex]\implies 12\sqrt{5}\sqrt{6}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{a \cdot b}[/tex]
[tex]\implies 12\sqrt{5 \cdot 6}[/tex]
Multiply 5 and 6:
[tex]\implies 12\sqrt{30}[/tex]
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's get it done ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{45} \times \sqrt{96} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {3}^{2} \times 5 } \times \sqrt{2 {}^{4} \times 2 \times 3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 3 \sqrt{5} \times 2 {}^{2} \sqrt{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: 3 \sqrt{5} \times 4\sqrt{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: 12 \sqrt{30} [/tex]
if 4% of packages get lost in the mail the which decimal represents the amount of packages lost in the mail
Answer:
40
Step-by-step explanation:
Answer:
0.04
Step-by-step explanation:
4% = 0.04
HHHHHEEEELLLPPP!!!! PLLEAASE
If two lines are cut by a transversal and the consecutive interior angle are supplementary, then the lines are parallel.
What are Interior Angles?The angle between adjacent sides of a rectilinear figure.
The Line EF is transversal through AB and CD.
By converse of consecutive interior angles:
If two lines are cut by a transversal and the consecutive interior angle are supplementary, then the lines are parallel.
Statement Reason
∠EPB≅∠EQD Given
∠P=∠Q Supplementary angles
AB||CD Converse of consecutive interior angles
Therefore if ∠EPB≅∠EQD then AB||CD.
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what is the solution of -3x + 7 = -2 ?
Answer:
X= -3
Step-by-step explanation:
Subtract 7 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Find the probability P(z < 0.37) using the standard normal distribution.
Answer:
0.6443
Step-by-step explanation:
Given the that:
P(Z < 0.37) ; using a standard normal distribution :
The probability can be obtained using several methods :
Using a standard normal distribution table ;
P(Z < 0.37) = obtain the value at the intersection where 0.3 is on the vertical axis and 0.07 on the horizontal axis of the Z distribution table
Hence,
P(Z < 0.37) = 0.6443
Today, Nate has 100100100 bananas. He will eat 222 of them every day.
Answer:
what is your question
Step-by-step explanation:
Step-by-step explanation:
Your Question is not complete, please resend and recheck
(23q – 34) and (–16q – r)
Answer:
=−368q2−23qr+544q+34r
Step-by-step explanation:
Which definition represents positive numbers and negative numbers in terms of positive numbers?
Positive numbers are greater than zero. Negative numbers are less than or equal to zero.
B
Positive numbers are greater than or equal to zero. Negative numbers are less than zero.
С
Positive numbers are greater than zero. For every positive number, there is a negative number that is its opposite.
D
Positive numbers are greater than or equal to zero. For every positive number, there is a negative number that is its opposite.
Answer:
D: Positive numbers are greater than or equal to zero. For every positive number, there is a negative number that is its opposite.
Step-by-step explanation:
Help Please today
Using the graph of f(x) and g(x), where g(x) = f(kx), determine the value of k.
A. -2
B. -1/2
C. 1/2
D. 2
Answer:
the answer is b, you welcome
Step-by-step explanation:
Can someone plz help me
Answer:
Step-by-step explanation:
because the two lines are not unique.. in other words they lay on top of each other.. they have many solutions and we can't determine price .. so answer C
Solve (3-3x3+3)
Yea x means
multiply....
A. -3
B. -9
C. 3
D. 0
Answer:
A. -3
Step-by-step explanation:
Multiply first then add or minus
3 - 3 x 3 + 3
3 - 9 + 3
-6 + 3
-3
Answer:
i got 2.7
Step-by-step explanation:
Find the 10th term of the following sequence:
5, 10, 20, 40, 80
Answer: 5120
Step-by-step explanation:
You amplify 80 by 2, then 160 by 2 and so on
Show that (a + b) (a + b)²=a³+ 3a²b+3ab²+b³
Step-by-step explanation:
(a+b)(a+b)² = (a+b)(a²+2ab+b²)
=a(a²+2ab+b²) + b(a²+2ab+b²)
= a³+2a²b+ab² + a²b+2ab²+b³
=a³+2a²b+ a²b+ab² +2ab²+b³
=a³+3a²b+3ab²+b³
1+5= what does this equal
Answer:
1+5=6
Step-by-step explanation:
What are the constants in the following expression: -x9 + 5x2 -8 + 3x -4
Answer:
Constants: -8, -4
Step-by-step explanation:
Words to know Match each word to know with its definition. dividend the number a dividend is divided by in a division problem divisor the number being divided in a division product the result of dividing one quantity by quotient enetoftwo or more numbers that are multiplied together factor the result of multiplying two or more quantities together
Answer:
can't see it can u reload up
Answer:
u dont need help?
Step-by-step explanation:
still
I WILL MARK AS BRAINLIEST PLEASE ANSWER FAST
Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
2 y + x = 5. 5 x minus y = 3.
2 x + y = 5. 5 y minus x = 3.
2 y + x = 5. y minus 5 x = 3.
2 x + y = 5. x minus 5 y = 3.
Answer:
the answer is A
Step-by-step explanation:
i got the answer right
PLS HELP I AM STRUGGLING
The domain is Domain = {-2 <= x <= 0}, the range is Range = {0 <= y <= 2} and the relation is a function
How to determine the domain of the function?From the function, we have the following observations:
The endpoints of the curve are:(-2, 0) and (0, 2)The curve do not extend more than the endpoint.This means that the domain is
Domain = {-2 <= x <= 0}
How to determine the range of the function?From the function, we have the following observations:
The endpoints of the curve are:(-2, 0) and (0, 2)The curve do not extend more than the endpoint.This means that the range is
Range = {0 <= y <= 2}
How to determine if the relation is a function?From the curve, we can see that each x value has exactly one y value
This means that the relation is a function
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Can anyone help me with this?
Answer:
around 12.08
Step-by-step explanation:
to do this, you need to do sine cosine tangent. Make sure your calculator is in degrees, not radians. Since the only other side given is the hypotenuse, 16, and y is adjacent to the angle, you use cosine (adjacent/hypotenuse). You do cos(41) and multiply it by 16 to get 12.08
Answer:
12.1
Step-by-step explanation:
41 + x = 90
x= 49
Sine rule:
Sin90 = Sin49
16 y
y= 16sin49
y is approx. 12.1
Adding 8 groups of (-4) is the same as dividing 8 and (-4)
Answer:
No
Step-by-step explanation:
Adding 8 groups of (-4) = -32
Dividing 8 and (-4) = -2
-2 doesn't equal -32
hope this helps, pls mark brainliest :D
Answer:
That statement is false
Step-by-step explanation:
PLEASE HELP!
At a local fair, the admission fees are $1.50 for children, $3 for college students, and $5 for adults.
On Saturday, 1500 tickets were sold and brought in $5500.
The number of college student tickets sold was 100 less than the number of children's tickets sold.
How many children's tickets were sold?
Answer:
Children's' Tickets Sold: 400
College Tickets Sold: 300
Adult Tickets Sold: 800
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
MatricesReduced Row Echelon Form (RREF)Step-by-step explanation:
Step 1: Define Variables
x = children tickets
y = college tickets
z = adult tickets
Step 2: Define Systems
Use the given information to set up the equations.
x + y + z = 1500
1.5x + 3y + 5z = 5500
y = x - 100
Step 3: Redefine Systems
x + y + z = 1500
1.5x + 3y + 5z = 5500
-x + y = -100
Step 4: Solve for x
Rewrite [Matrix]: [tex]\left[\begin{array}{ccc}1&1&1 | 1500\\1.5&3&5 | 5500\\-1&1&0 | -100\end{array}\right][/tex][Matrix] RREF: [tex]\left[\begin{array}{ccc}1&0&0 | 400\\0&1&0 | 300\\0&0&1 | 800\end{array}\right][/tex]Here we see that our x = 400, y = 300, and z = 800. Correspond this with our defined variables and we have our answer.
-9/-3 plz help I’m really confused
Answer:
The answer is 3.
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
PLEASEEEE HELP , True or False?
7.The altitude and median drawn from the vertex of an isosceles triangle are the same line.
8. The altitude and median drawn from the base angle of an isosceles triangle are the same line.
9. The median of a triangle may be side of the triangle.
10. An altitude of a triangle may be a side of the triangle.
11. A point on the⊥ bisector of a segment is equidistant from the endpoints of the segment.
12.The line y = x and y = - x are perpendicular.
true
false
false
true
false
true
Answer:
g
Step-by-step explanation:
Examine the work shown. Explain the error and find the correct result.
2(4 – 16) – (–30)
2(–12) – (–30)
24 – (–30)
54
Answer:
= 6
Step-by-step explanation:
in the third step, they did 2 x -12 and got 24. It should’ve been -24 since it was a positive times a negative. It shouldve been
-24 - (-30)
-24 + 30
= 6
Answer:
yo wassup
Step-by-step explanation:
The product of two numbers with different signs is negative, so 2(-12) = -24, not 24. Then -24 — (-30) = -24 + 30 = 6.
sample response on edge
see ya
2(1 - 5k) = 2k + 38
HURRY I NEED THIS ANSWER FAST
Answer:
hope this helps
Step-by-step explanation:
Please show work(15 points)
a map of Connecticut is drawn to a scale where 2 inches on the map represents 35 miles. if Greenwich and Stonington are 105 miles from each other how far apart do they appear on the map
Answer: 6 inches
Step-by-step explanation:
2 inches = 35 miles, so, 105 divided by 35 which is three, then 3 x 2 = 6
you're welcome
What is the image of the point (-7,9) after a rotation of 270∘ counterclockwise about the origin?
(?,?)
The image of the point after a rotation of 270∘ counterclockwise about the origin is (9, 7)
How to determine what is the image of the point after a rotation of 270∘ counterclockwise about the origin?The point is given as
Point = (-7, 9)
The transformation rule is given as
270 degrees counterclockwise rotation
The rule of 270 degrees counterclockwise rotation is
(x,y) = (y,-x)
When the above rule is applied to the vertices of the point, we have:
Point' = (9, 7)
Hence, the image of the point after a rotation of 270∘ counterclockwise about the origin is (9, 7)
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suppose we want to solve the bvp using a direct method. if we approximate as , what will the matrix be when using the direct method?
A second-order differential equation with limitations on the solution y = y(x) at two different values of x makes up a second-order boundary-value issue.
What is a differential equation?
Any equation involving the abstract representation y=f(x) including one or more of its derivatives is known as a differential equation.
A function y=f(x) that fulfills the differential equation whenever f and also its derivatives are replaced into the equation is a response to a differential equation.
A system of ordinary differential equations having a solution and derivative values defined at more than one place is referred to as a boundary value problem. A two-point boundary value problem is one where the solution and derivatives are typically provided at just two positions (the boundaries).
A second-order differential equation with limitations on the solution y = y(x) at two different values of x makes up a second-order boundary-value issue. For instance, the boundary value issue y′′ + y = 0 with y(0) = 0 and y (/6) = 4 is quite straightforward.
In light of y′(0) = 0 and y′ (/6) = 4, is y′′ + y = 0.
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