Step-by-step explanation:
2+5=7 = 19-3+3=13
5-3=2
6+5=11-21+3= -33
8+5= 13= 1
4+5= 9
The system of equations that does not satisfy the ordered pair is
6m -21n = -33
9m + 4n = 5
3m = 9 + 6n
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the ordered pair ( m , n ) = ( 5 , 3 )
The value of m = 5
The value of n = 3
Now , the equation will be
a)
The equation is
2m = 19 - 3n
Substituting the values , we get
2 x 5 = 19 - 3 x 3
10 = 19 - 9
10 = 10
The equation satisfies for the ordered pair
b)
The equation is
m - n = 2
Substituting the values , we get
5 - 3 = 2
2 = 2
The equation satisfies for the ordered pair
c)
The equation is
6m -21n = -33
Substituting the values , we get
6 x 5 - 12 x 3 = -33
30 - 36 = -33
-3 = -33
The equation does not satisfy the ordered pair
d)
The equation is
8m = −23 + 21n
Substituting the values , we get
8 x 5 = -23 + 21 x 3
40 = -23 + 63
40 = 40
The equation satisfies for the ordered pair
e)
The equation is
4m − 3n = 11
Substituting the values , we get
4 x 5 - 3 x 3 = 11
20 - 9 = 11
11 = 11
The equation satisfies for the ordered pair
f)
The equation is
2m + 5 = 5n
Substituting the values , we get
2 x 5 + 5 = 5 x 3
10 + 5 = 15
15 = 15
The equation satisfies for the ordered pair
g)
The equation is
9m + 4n = 5
Substituting the values , we get
9 x 5 + 4 x 3 = 5
45 + 12 = 5
57 = 5
The equation does not satisfy the ordered pair
h)
The equation is
3m = 9 + 6n
Substituting the values , we get
3 x 5 = 9 + 6 x 3
15 = 9 + 18
15 = 27
The equation does not satisfy the ordered pair
Hence , the equations 6m -21n = -33 , 9m + 4n = 5 and 3m = 9 + 6n does not satisfy the given ordered pair ( m , n ) = ( 5 , 3 )
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I know i use the product rule but I keep getting the wrong answer
Answer:
dx/dt | (x=3) = 27/2
Explanation:
x*y = 2 ......... (a)
At x = 3, (3)*y = 2 => y = 2/3
Differentiate (a) wrt t,
x.dy/dt + y.dx/dt = 0 ........ (b)
Put x=3, dy/dt=-3 and y=2/3 in the differential equation (b),
3(-3) + (2/3)*dx/dt = 0
dx/dt = (9*3)/2 = 27/2
a jeweler sells rings for $35 each plus a flat fee of $5 for shipping for orders up to 10 rings. If customers order more than 10 rings, the cost is $30 per ring and shipping is free. Write a piecewise function to represent the situation.
Answer:
-10=$35r+$5r
+10=$30r
Step-by-step explanation:
This function represents this situation. If someone orders less than ten rings (-10) then they will pay $35 for each ring($35r) plus dollars for each for shipping ($5r)
If someone were to buy more than ten rings (+10) then they will pay $30 for each ring ($30r)
Have a great day!
20 points!! Please look at the picture below
Answer:
I believe the answer is D.
What is a necessary step for constructing parallel lines?
Draw a line that intersects the first line using a straightedge.
Draw a ray that intersects the first line at a right angle using a straightedge.
Draw arcs on either side of a given point on the line.
Draw arcs on either side of a given point off the line.
The necessary step for constructing parallel lines is to draw a line that intersects the first line using a straightedge.
What are parallel lines?Two lines are said to be parallel in a plane if they do not intersect each other even if extended till infinite in both the directions.
Steps to construct a parallel line using ruler and compass are:
Draw a line segment AB and mark any point P above the line ABDraw a line that intersects the first line using a straightedge and mark it as Point X. Now we get a line AB and a transverse PX.Open a compass more than half of the distance between PX. Using this, place the compass on Point X and scribe an arc MN on the transverse PX. Similarly, using the same distance, scribe an arc by keeping the compass on Point P and mark it as EF. The point where EF cuts PX is Q. Using this Q as a center, draw an arc marked R on EF.Join this R and P and extend the line segment and mark is as C and D.The resultant image is given below.To learn more about parallel lines, refer:
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For a homework due tomorrow.
What is cos 45?
What is sin 45?
They are the same :)
0.7071
[tex] \cos(45) = \frac{ \sqrt{2} }{2} = 0.71(2d.p) \\ \\ \sin(45) = \frac{ \sqrt{2} }{2} = 0.71(2d.p)[/tex]
help I need an answer
Write the expression with fewer terms.
3(x−2)+4(x−2)−5(x−2)3(x−2)+4(x−2)−5(x−2)
Answer:
[tex]-15x^{2} +66x-72[/tex]
Step-by-step explanation:
Simplify or expand:
[tex]3(x-2)+4(x-2)-5(x-2)[/tex] × [tex]3(x-2)+4(x-2)-5(x-2)[/tex]
Multiply the monomials:
3(x-2)+4(x-2)-15(x-2)(x-2)+4(x-2)-5(x-2)
Apply the Distributive Property:
3x-3×2+4(x-2)-15(x-2)(x-2)+4(x-2)-5(x-2)
3x-3×2+4x-4×2-15(x-2)(x-2)+4(x-2)-5(x-2)
3x-3×2+4x-4×2+(-15x-15×(-2))(x-2)+4(x-2)-5(x-2)
3x-3×2+4x-4×2+(-15x-15×(-2))(x-2)+4x-4×2-5(x-2)
3x-3×2+4x-4×2+(-15x-15×(-2))(x-2)+4x-4×2-5x-5×(-2)
Determine the sign for multiplication or division:
3x-3×22+4x-4×2+(-15x+15×2)(x-2)+4x-4×2-5x-5×(-2)
3x-3×2+4x-4×2+(-15x+15×2)(x-2)+4x-4×2-5x+5×2
Calculate the product or quotient:
3x-6+4x-4×2+(-15x+15×2)(x-2)+4x-4×2-5x+5×2
3x-6+4x-8+(-15x+15×2)(x-2)+4x-4×2-5x+5×2
3x-6+4x-8+(-15x+30)(x-2)+4x-4×2-5x+5×2
3x-6+4x-8+(-15x+30)(x-2)+4x-8-5x+5×2
3x-6+4x-8+(-15x+30)(x-2)+4x-8-5x+10
Apply the Distributive Property
3x-6+4x-8-15x(x-2)+30(x-2)+4x-8-5x+10
3x-6+4x-8-15x×x-15x×(-2)+30(x-2)+4x-8
3x-6+4x-8-15x×x-15x×(-2)+30x-30×2+4x-8-5x+10
Determine the sign for multiplication or division:
3x-6+4x-8-15x×x+15x×2+30x-30×2+4x-8-5x+10
Multiply the monomials:
3x-6+4x-8-[tex]15x^{2}[/tex]+15x×2+30x-30×2+4x-8-5x+10
3x-6+4x-8-[tex]15x^{2}[/tex]+30x+30x-30×2+4x-8-5x+10
Calculate the product or quotient:
3x-6+4x-8-[tex]15x^{2}[/tex]+30x+30x-60+4x-8-5x+10
Reorder and gather like terms:
(3x+4x+30x+30x+4x-5x)×x+(-6-8-60-8+10)[tex]-15x^{2}[/tex]
Collect coefficients of like terms:
(3+4+30+30+4-5)×x+(-6-8-60-8+10)[tex]-15x^{2}[/tex]
Calculate the sum or difference:
(7+30+30+4-5)×x+(-6-8-60-8+10)[tex]-15x^{2}[/tex]
(37+30+4-5)×x+(-6-8-60-8+10)[tex]-15x^{2}[/tex]
(67+4-5)×x+(-6-8-60-8+10)[tex]-15x^{2}[/tex]
(71-5)×x+(-6-8-60-8+10)[tex]-15x^{2}[/tex]
66x+(-6-8-60-8+10)[tex]-15x^{2}[/tex]
66x+(-14-60-8+10)[tex]-15x^{2}[/tex]
66x+(-74-8+10)[tex]-15x^{2}[/tex]
66x+(-82+10)[tex]-15x^{2}[/tex]
66x-72[tex]-15x^{2}[/tex]
Rewrite the expression:
[tex]-15x^{2}[/tex]+66x-72
If 16 ounces of bulk rice costs $2.50, how much
would 24 ounces cost?
Answer:
$ 3.75
Step-by-step explanation:
Let the unknown price be x.
Ounces cost
16 ⇒ $ 2.50
24 ⇒ x
Now let us use cross multiplication and find the value of x.
16 × x = 24 × 2.50
16x = 60
Divide both sides by 16.
x = 3.75
Therefore, 24 ounces of bulk rice cost $ 3.75
Hope this helps you :-)
Let me know if you have any other questions :-)
What is the slope of the line passing through the points (4, -2) and (-5, 4)?
Answer:
-2/3
Step-by-step explanation:
We can use the slope formula when we have two points
m = ( y2-y1)/(x2-x1)
= ( 4 - -2)/( -5 -4)
= ( 4+2)/( -5-4)
= 6/ -9
Simplifying
= -2/3
Slope:-
m=4-(-2)/-5-4m=4+2/-9m=-6/9m=-2/3f(x) is graphed on the coordinate plane. It is given that a line passes through the points (-3,-16) and (1,3).What is the least possible degree of the function represented by this graph? Enter your answer in the box.
Answer:
the answer is 3
Step-by-step explanation:
i took the test on k12
Write the product of 6 x 6 x 6 x z x z in exponential form.
Answer:
[tex]6^3z^2[/tex]
Step-by-step explanation:
1. Count the number of 6's.
There are three 6's, thus making [tex]6^3[/tex].2. Multiply number of 6's by number of z's.
There are two z's, thus making [tex]z^2[/tex]. [tex]6^3 * z^2 = 6^3z^2[/tex].Simplify fully please
Answer:
Keep Change Flip. Then, multiply out.
You will get:
x^3 - 9x +2x^2 - 18 / 3x^3 - x^2 - 27x + 9
Now factorise top and bottom to get :
(x+2)(x+3)(x-3) / (3x-1)(x+3)(x-3)
The same bracket at the top and bottom cancels out to give the final answer of:
x+2 / 3x-1
Or
x+2 ÷ 3x-1
Hope this helps!
Use the difference of 2 squares to expand x^2-9 to (x+3)(x-3).
factorizing 3x^2 + 8x -3 gives (3x-1)(x+3). With all these, we can simplify as shown in the picture above
2. Jenell and May had some money. Jenell had twice as much money as May. After Jenell had spent $25 and May had saved another $15, they both had the same amount of money. How much money did Jenell have at first?
please really need help. please make it understandable
Answer:
Jenell began with $80.
Step-by-step explanation:
see image. I did this with one variable and with two, depending on what math you are studying. You only need to work through one side of the solution shown. See image.
kris used 7 5/12 inches of tape to wrap her brother's gift and 6 9/12 inches of tape to wrap her sister's gift. what is the total amount of tape kris used to wrap the gifts?
A. 13 1/6
B. 14 1/6
C. 13 1/12
D. 14 1/12
Answer:
14 1/6
Step-by-step explanation:
[tex]7\frac{5}{12} +6\frac{9}{12} =13\frac{14}{12} =14\frac{2}{12} =14\frac{1}{6}[/tex]
If one yard of material cost 2.00 how much do 5 1/2 yards cost?
Answer:
$11
Step-by-step explanation:
5*2=10 (for 5 yards) plus 1.00 for the 1/2 yard
Answer:
$ 11.00 or 11
Step-by-step explanation:
2.00 X 5 1/2 = 11
You would multiply the cost of $ 2.00 (one yard) with the total yard 5 1/2 and get 11 or $11
So your answer is for a total of 5 1/2 yards it would cost $11.
i need help on this to bring my grade up
The Answer Is: "5x + 16"
Use the inequality to answer the following question.
0.06g + 0.6< 6
Which set of values contains possible solutions for g?
( 45,50,60)
(45,50,59)
(45,60,70)
(35,45,65)
Answer:
45,50,60Step-by-step explanation:
pa correct nlng ty sa points.
A farmer needs to water a new potato field. To do so, he builds an irrigation system using 610
plastic pipes and 82 metal pipes. How many pipes does he use?
Answer: Irrigation water can come from groundwater, through springs or wells, surface water, through rivers, lakes, or reservoirs, or even other sources, such as treated wastewater or desalinated water. As a result, it is critical that farmers protect their agricultural water source to minimize the potential for contamination.
Step-by-step explanation:
Answer:
Total pipes = 692 pipes
Step-by-step explanation:
Now we have to,
→ find the amount of pipes he use.
Forming the expression,
→ 610 plastic pipes + 82 metal pipes
Let's solve the problem,
→ 610 plastic pipes + 82 metal pipes
→ 610 + 82
→ 692 pipes
Hence, the farmer used 692 pipes.
solve fast kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Answer:
[tex]-\frac{9h}{5} + 0.7[/tex]
I need help on this
Answer:
(in order)
Size small shirts: 18, 36, 63, 1800
Size large shirts: 4, 8, 14, 200
Step-by-step explanation:
For every 9 small, there is 2 large, therefore if there is 18 small, then there is 4 large because there are two 9s in 18.
Find the exact value of sin 4pi/3 in simplest form with a rational denominator.
Answer:
Sin4π/3
It should be in degree from by using radian to degree formula.
What is 2/3 with a denominator of 48
Answer:
32
Explanation:
We can multiply the numerator by the number and leave the denominator as: (2 x 48) / 3 = 96/3 = 32.
f(x)=2/3x−1 and g(x)=−4x+6.
Answer:
f(x)=2/3x−1 and g(x)=−4x+6.
answer-x=3/2
solving-x=1.1/2 , x=1.5
Step-by-step explanation:
Answer:
This is an impossible transformation as the types cannot change. They are from different types.
Step-by-step explanation:
Refer to the graph.
paul was given 2760$ to buy toys for a group of children.A)what would be the greatest number of toys paul could buy if each toy cost $9?B)how much money would be left after buying the toys? (wright equation)(anser it understandble)
Step-by-step explanation:
Question A-
To find: Greatest number of toys that Paul can buy with $2760
We can simply divide the total money by the toy's price-
total money/toy's price
= 2760 / 9
= 306.6
= 306 (since we cannot buy .6 of a toy we round it off to the previous number)
Question B-
To find: Amount of money left after buying the toys
The remanider of 2760/9 will give us the money left with Paul
= $6
Need help really bad please and thank you!
Answer:
Step-by-step explanation:
The side opposite the given width of x is also x.
So you have to relate 3 facts.
The angle
The adjacent side
The hypotenuse.
Formula
Cos(28) = x / 35
Solution
Cos(28) = x / 35 Multiply both sides by 35
35 cos(28) = 35 * x / 35 Cancel
35 cos(28) = x Multiply
30.90 = x
Rounded, it is 30.9
Answer:30.9 cm
Step-by-step explanation: =X/35
X= 35 cos 28'
X= 30. 90cm
width 06
Rectangle = 30.9cm
For what values of x is the expression below defined?
O A. x = 0
O B. x > 0
O c. x< 0
O D. x< 1
Answer:
x>0
Step-by-step explanation:
i took the quiz :))
What is the equation of the line that passes through the point (6.-6) and has an undefined slope
Answer:
x=6
Step-by-step explanation:
If a line has an undefined slope, then it has to be a vertical line.
Since the line is vertical, there is only one x value for any given y value. This means we can use the x value in the given coordinate pair to find the equation...
x=6
simplify the radical expression 3√40
Answer:
Exact Form= 6√10
Decimal Form=18.97366596
find area and perimeter of the rectangle with vertices (2,6),(2,-3),(5,-3),and (5,6)
Answer:Find all times on the clock where the angle between the minute and the hour hand (backwards and forwards) equals 26°
Using our clock angle calculator for 5:32, we see that the angle between the hands equals 26°
Using our clock angle calculator for 6:28, we see that the angle between the hands equals 26°
Final Times that form an angle of 26°
Step-by-step explanation:
how many acute angles dose a right triangle have?
Answer:
2 acute angles
Step-by-step explanation:
A right triangle HAS to have a right angle, which is 90 degrees. This means the other two angles must add up to:
180-90 = 90 degrees
Acute angles are LESS than 90 degrees. You cannot add two positive integers over 90 to get 90 (obtuse angles), and you can also not have two 90 degree angles since that forms a straight line, therefore meaning the other two angles must be acute.
Answer:
2
Step-by-step explanation:a normal right triangle has 3 angles in total and looking at the bend in each corner only two of them are acute so that makes it 2
What number is 85% of 112?
Answer:
So 85 percent of 112
A percentage basically means “out of a hundred”
So 85 percent is 85/100
85/100 is 0.85
KEY word is “of”, we multiply when there’s of
0.85*112= 95.2
95.2 is 85 percent of 112