The solution of the system of equation can be solved by using substitution method. Therefore, the solutions of the system 7x + 3y = -3 and y = -2x is (-3, 6)
How to find solution to the system of equation
7x + 3y = - 3
y = - 2x
Substitute the value of y in equation(i)
Therefore,
7x + 3(- 2x) = -3
7x - 6x = -3
x = -3
Let's find y by substituting the value of x in equation(ii)
y = -2x
y = -2(-3)
y = 6
Therefore, the solution set of the equation is (-3, 6)
learn more on system of equation; https://brainly.com/question/1632711
Find the length of the hypotenuse. The measure of the hypotenuse?
Answer:
Since it's a right angled triangle
Hypotenuse = h
h² = 7²+24²
h= √49 + 576
h = √625
h= 25
Therefore hypotenuse is 25
Hope this helps.
Answer & Step-by-step explanation:
First, we must know the Pythagorean Theorem.
a² + b² = c²
a = 24
b = 7
Now, let's plug in these numbers into the formula.
24² + 7² = c²
Simplify the exponents.
576 + 49 = c²
Add 576 and 49 together.
625 = c²
Square root the terms on both sides of the equation.
√625 = √c²
Simplify the square roots.
25 = c
The length of the hypotenuse is 25 units.
Please help! Correct answer only please! I need to finish this assignment by today.
You spin the spinner once.
What is P(factor of 6)?
Write your answer as a percentage.
___%
Answer:
100%
Step-by-step explanation:
The factors of 6 are 1, 2, 3, and 6. Since all of the numbers on the spinner are a factor of 6, there is a 3/3=100% chance of that. Hope this helps!
Answer:
100%
Step-by-step explanation:
I just took the test on edgenity
The slope of AB is -2/5. Segment CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.
Answer:
Neither
Step-by-step explanation:
When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.
Plz sub to Rebel_IOSツ on yt!
Answer:
AB and CD are parallel
Step-by-step explanation:
AB has the slope of -2/5let's see what slope the line CD has:
points are (-5, 3) and (10, -3)slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5as we see AB and CD have same slope, therefore they are parallel
When chords intersect in a circle, the vertical angles formed intercept congruent arcs
Answer:
c
Step-by-step explanation:
A wooden plank is cut into three pieces. The ratio of the length of the pieces of wood is 6:10:12. If the length of the original wooden plank is 812 centimetres, what is the length of the longer piece of wood?
Answer:
290 centimetres
Step-by-step explanation:
The ratio of the length of the pieces of wood is 6 : 10 : 12.
We have to find the total ratio first:
6 + 10 + 12 = 28
The longer piece of wood has ratio 10.
The length of the original wooden plank is 812 centimetres, therefore, the length of the longer piece of wood is:
10/28 * 812 = 290 centimetres
I know this is a SUPER easy question, i’m just dumb. Question in photo.
Answer:
Quadrant III (Answer C)
Step-by-step explanation:
(4, 7) is in Quadrant I. Rotating it 180 degrees around the origin places it in Quadrant III (Answer C).
Answer:
Quadrant 3 (Answer C)
What is the slope? WIL MARK BRAIN 20 POINTS
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
in what ways can the graph of a linear function be transformed
Answer:
Using Transformations
Step-by-step explanation:
Brenden bought 20 bananas and apples, at $1.20 per banana and
$1.40 per apple. The total cost was $26.
How many bananas and apples did he buy, respectively?
Answer:
hey so im guessing its 10 bananas and 10 apples
Step-by-step explanation:
1.2x 10=12
1.4x10= 14
12+14=26
can you please help me with functions
Option D is the right answer
(-1,4),(1,7),(2,10)
It is a function because input X values have its unique output y values.
hope it helps
Good luck on your assignment
Analyze the diagram below and complete the instructions that follow.
N
In the diagram, 212 22 22 = 23, and m41 = 609. Give the reasons that best support the following statements used to show
that m43 = 60°
1. 21 = 22 and 22 = 23; therefore, 2133
2. m 1 = 60° and 2123; therefore, 60° =m23
3. 60º = m/3; therefore, mx3 = 60°
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Mark this and return
What are the factors of 36xyz?
A. 36,x,y
B. 36x,y,z
C. x,y,z
D. 36,x,y and z
Answer:
ç
Step-by-step explanation:
2⁄5 + 3⁄7 + 5⁄6 = is what?
Answer:1.661905 or 349/210 Or 1 139/210
Step-by-step explanation:
2⁄5 + 3⁄7 + 5⁄6
29/35+5/6
349/210
Given that RT ≅ WX, which statement must be true?
Answer:RT is congruent to WX
Step-by-step explanation:
Answer: RT
Step-by-step explanation:
A scale drawing has a scale of 3in:1ft. What is the scale factor?
Answer:
1 : 4
Step-by-step explanation:
Remember, your units have to match, so
3 in : 1 ft
doesn't look right, change 1 ft to 12 in.
3 in : 12 in
reduce by 3
1 : 4
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!
Answer:
no
Step-by-step explanation:
Please help me with this question
Answer:
P = (2, 3)
Step-by-step explanation:
P is a local minimum, so can be found from the upper zero of the derivative.
y' = 0 = 3x^2 -8x +4
0 = (3x -2)(x -2)
x = 2/3, x = 2
So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:
y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3
The coordinates of P are (2, 3).
__
A graphing calculator confirms this result.
What are the odd numbers
Answer:
1,3,5,7,9....up to soon are odd numbers
Step-by-step explanation:
they are not divided by 2
Answer:
1,3,5,7,9
Step-by-step explanation:
The graph below represents the distance a pilot is from the home airport during a period of time.
Answer:
C. Decreasing
Step-by-step explanation:
which expression is equivalent to
Answer:
3
Step-by-step explanation:
"" = x^(0.5*(-2))*y^(-0.25*(-2))*z^(-2) = x^(-1)*y^(0.5)*z^(-2) =
(1/x^1)*y^(0.5)*(1/z^2) = 3
Answer:
Third one.
Step-by-step explanation:
The exponent negative 2 applies to all that's in the bracket. So, x^1/2 times exponent negative 2 equals x to the power negative one. And y to the power negative half and z to the power negative 2. Therefore, x^-1 = 1/x and y^1/2 remains same and z^-2 = 1/ z^2.
Using the midpoint method (show your work), calculate the price elasticity of demand when the price of a barrel of gosum berries rises from $10 to $20. What kind of elasticity is this value that you computed for the price elasticity of demand and what does it mean for how demand will change based on a change in price within this price range?
Answer:
0.18
Step-by-step explanation:
Given that:
P₁ = $10, P₂ = $20
From the tables Q₁ = 900, Q₂ = 800
Using midpoint method:
Percentage change in quantity = [tex]\frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\[/tex]
Percentage change in price =
[tex]\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\[/tex]
Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18
The Price of elastic demand is positive because we took the absolute value and elasticity are always positive
Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.
This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded
Pls answer all 3 questions
Answer:
a) x=4
b) y=3
c) 3m-2n
Plssssssss........helppppppp meeeeeee
Answer:
The coefficient is 12
Step-by-step explanation:
The coefficient is the number next to the variable in the term
12p
The coefficient is 12 and the variable is p
5 % of 401.16 m Give your answer rounded to 2 DP.
Answer: 20.058
Step-by-step explanation:
401.16 x 0 05
= 20 058
f(n) = 65 - 4n; 29
determine which term produces the given number?
Answer:
9 th term
Step-by-step explanation:
Equate 65 - 4n to 29 and solve for n , that is
65 - 4n = 29 ( subtract 65 from both sides )
- 4n = - 36 ( divide both sides by - 4 )
n = 9
Harrison pours sand into a bucket at a constant rate. the graph shows the total weight of the bucket and the sand over time. after 10 seconds, the total weight is 50 ounces.
what is an equation of the line parallel to the line on the graph that passes through (2,25)?
Answer:
y = 4x +17
Step-by-step explanation:
we can find the equation of line when given two points or a point and the gradient/slope.
In the above line we have two points (0,10) and (10,50),
The slope of the line is therefore 4
Parallel lines have equal slopes or gradient, therefore the slope of the other line is still 4. And the line pases through a point (2,25), hence
Equation will be, (y-25)/(x-2) = 4
= y-25 = 4x-8
= y =4x +17
Thus the appropriate equation is y = 4x +17
Answer:
Y = 4 x + 17
Step-by-step explanation:
Confirmed. Just took it
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4
–13y4 + 3x4 – 8x2y2 + x3y + 9xy3
–13y4 + x3y – 8x2y2 + 9xy3 + 3x4
3x4 – 8x2y2 + x3y + 9xy3 – 13y4
3x4 + x3y – 8x2y2 + 9xy3 – 13y4
Answer:
D. [tex]3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]
Step-by-step explanation:
[tex]9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =[/tex]
[tex]= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4[/tex]
[tex]= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]
The standard form of a polynomial is the general way of writing the polynomial.
The standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
The polynomial expression is given as:
[tex]9xy^3 - 4y^4 -10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4[/tex]
Collect like terms
[tex]9xy^3 - 4y^4 - 9y^4 -10x^2y^2 + 2x^2y^2 + x^3y + 3x^4[/tex]
Evaluate the like terms
[tex]9xy^3 -13y^4 -8x^2y^2 + x^3y + 3x^4[/tex]
Rewrite the polynomial in decreasing order of the power of x
[tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
Hence, the standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
Read more about polynomials at:
https://brainly.com/question/2833285
Can someone help meee!
Answer:
X intercept = 4
Y intercept = -4
Step-by-step explanation:
X-intercept is when the graph crosses the X-axis or where the y is 0 for a X value. Here the (4,0) is where Y is 0 for a given x value and you see the graph crosses it on X-axis thus X intercept is 4.
Y-intercept is when the graph crosses the Y-axis or where the x is 0 for a Y value. Here the (0,-4) is where X is 0 for a given Y value and you see the graph crosses it on Y-axis thus Y intercept is -4.
Given the equation y = 2x - 8, what is the slope and the y-intercept? A.) m = 8 and b = 2 B.) m = 2 and b = 8 C.) m = 2 and b = -8 D.) m = -8 and b = 2
Answer:
C.) m = 2 and b = -8
Step-by-step explanation:
Generally:
In an equation of the form y = mx + b
the slope is m
the y-intercept is b
In our equation y = 2x - 8 = 2x + (-8)
then
m = 2 and b = -8
tom paid $16 for 6 audio cassettes. Which proportion can be used to find the amount of money (m) he would pay for 9 audio cassettes
Answer:
Step-by-step explanation:
From the question, Tom paid $16 for 6 audio cassettes and we are told to find the proportion to get the amount of money (m) he would pay for 9 audio cassettes. To get this, we have to know the amount of the cost of 1 audio cassette. Since Tom paid $16 for 6 audio cassettes, 1 audio cassette will cost:
= $16/6
= $2.67
1 audio cassette will cost $2.67
The amount of money spent will depend on the number of audio cassettes. Therefore,
m = $2.67 × n
m = $2.67n
where n = number of audio cassette
The amount of money he'll pay for 9 cassette will be:
m = $2.67n
m = $2.67 × 9
m = $24.03
