Answer:
A
Step-by-step explanation:
This is because when you do a the answer states, multipliying the top by 2, makes the top equation 6x-6y=12. When you subtract the second from the first you get:
6x - 6y = 12
- 6x + (-)9y = (-)3
Which results in -15y = 9.
This results in an eliminated variable from the start of the system of equation.
The steps that will eliminate a variable in this system are:
Multiply the first equation by 2.
Then subtract the second equation from the first.
What is method of elimination?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
[tex]3x - 3y = 6\\6x +9y = 3\\\\6x - 6y = 12\\6x +9y = 3\\\\15y = -9\\y = -3/5\\x= 2-3/5 = 7/5[/tex]
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which of the following is a geometric sequence
A. 6, 18, 54, 162
B. 1, 4, 5, 9, 14
C. 3, 6, 9, 12, 15
D. 3, 5, 8, 13, 21
There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?
12th
$
12
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Mark this and return
Answer:
divide 3 by the amount of feet to get to the yards
Step-by-step explanation:
For every three feet, there's always one yard
so to do this only given feet, we'll need to divide the amount of feet by 3 to represent the amount of yards
Solve for x: 5x - 3 = 10
Answer:
5x - 3 = 10
5x = 13
x = 13 / 5
x = 2.6
Step-by-step explanation:
<> 5x = 10 + 3
<> 5x = 13
<> 5x ÷ 5 = 13 ÷ 5
<> x = 2.6
my friend took time to round once around a circular field is 30seconds. Calculate the area of field of the school of his speed is 90 meter/sec
Answer:
im bad at math but i think its 120
Simplify. 6x-2
A.6/x^2
B.x²/6
C.1/6x^2
D.1/36x^2
Answer:
Step-by-step explanation:
[tex]a^{-m}=\frac{1}{a^{m}}\\\\6x^{-2}=6*\frac{1}{x^{2}}=\frac{6}{x^{2}}[/tex]
Find the area of the following
rhombus:
6 cm
10 cm
8 cm
A=121 cm2
Answer:
let
diagonal 1=6cm
diagonal 2=10cm
Area of rhombus=½*diagonal 1*diagonal 2=½*6*10
=30cm²
Answer:
Area of rhombus is 30cm².
Step-by-step explanation:
A rhombus having diagonals 6cm and 10cm . Find the area of rhombus.
Solution :-
Let us assume that
[tex]diagonal_1= 6cm[/tex][tex]diagonal_2 = 10cm[/tex]Finding the area of rhombus
Using Formula :-
Area of rhombus = ½ × [tex]diagonal_1[/tex]×[tex]diagonal_2[/tex]
Substitute the values of both diagonals.
Area of rhombus = ½ × 6cm × 10cm
Multiply the numbers
Area of rhombus = ½ × 60cm²
Divide we get ,
Area of rhombus = 30 cm
product of (n+bv^2) (5n+3bv2)
Answer:
5n² + 8bnv² + 3b²v^4
Step-by-step explanation:
(n+bv²) (5n+3bv²)
5n² + 3bnv² + 5bnv² + 3b²v^4
5n² + 8bnv² + 3b²v^4
A - H, please! thank you.
Answer:
First exercise
a) 1/8=0.125
b) 5$
c) y = 0.125 * x - 5
Second exercise
a) 0.11 $/KWh
b) no flat fee
c) y = 0.11 * x
Step-by-step explanation:
(See the pictures)
For every quarter in his pocket, John also has 5 pennies in his pocket. If the total of the coins in John’s pocket is $ 5.40, how many quarters does John have in his pocket.
If a student receives a score of 80, how many questions did this student answer ... (5). Let x = the first number, and y = the second number ... If John only has 25 coins in his pocket, how many of the coins are quarters?
Amy earned $25 after babysitting for 3 hours if amy always charges the same rate,how much will she make after babysitting for 7 hours
Find the vertex of f(x) = 3(x-7)(x+5)
Please show your work.
^^ I’ve been having a bit of trouble with this question :( although it’s simple quadratics is not my strong suit
Answer:
The vertex is at (1, -108).
Step-by-step explanation:
We have the function:
[tex]f(x)=3(x-7)(x+5)[/tex]
And we want to find its vertex point.
Note that this is in factored form. Hence, our roots/zeros are x = 7 and x = -5.
Since a parabola is symmetric along its vertex, the x-coordinate of the vertex is halfway between the two zeros. Hence:
[tex]\displaystyle x=\frac{7+(-5)}{2}=\frac{2}{2}=1[/tex]
To find the y-coordinate, substitute this back into the function. Hence:
[tex]f(1)=3((1)-7)((1)+5)=3(-6)(6)=-108[/tex]
Therefore, our vertex is at (1, -108).
Answer:
vertex (1, -108)
Step-by-step explanation:
First find the zeros
f(x) = 3(x-7)(x+5)
0 = 3(x-7)(x+5)
Using the zero product property
x-7 = 0 x+5 = 0
x = 7 x = -5
The x coordinate of the vertex is the average of the zeros
(7+-5)/2 = 2/2 =1
To find the y coordinate, substitute the x coordinate into the equation
y = 3(1-7)(1+5) = 3(-6)(6) = -108
Under which transformation is size not preserved?
A. reflection
B. dilation
C. rotation
D. translation
The size is not preserved in B. dilation
What is transformation?Translation happens when we move the image without changing anything in it. Hence the shape, size, and orientation remain the same.
A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.
Rotation means the circular movement of an object around a centre. It is possible to rotate different shapes by an angle around the centre point.
Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system.
Hence,The size is not preserved in B. dilation
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Cláudio pode ir de sua casa a escola andando três km para o Norte, 2 para o oeste, um para o sul, quatro para o leste e, finalmente, 2 para o sul ponto para ir de sua casa a escola em linha reta, Cláudio deve andar: a) 1 km para o sul b) 2 Km para o leste c) 3 km para o oeste d) 4 km para o Norte e) 5 km para o leste
Answer:
b) 2 Km para o leste
Step-by-step explanation:
1. 2 km N
2. 2 km W
3. 1 km S
4. 4 km E
5. 2 km S
Sul e Norte:
(1.) 2 km N + (3.) 1 km S + (5.) 2 km S = 2 km - 1 km - 2 km = 0
Este e Oeste:
(2.) 2 km W + (4.) 4 km E = -2 km + 4 km = 2 km E
Veja imagem abaixo.
Which is the equation of a line parallel to the line with the equation: y = −14x + 7
y = -4x - 7
y = 4x + 2
y = 14x − 12
y = −14x + 3
Answer:
y = −14x + 3
Step-by-step explanation:
Parallel lines have the same slope
The equation y = −14x + 7 is put in slope intercept form ( y = mx + b )
Where m = slope
-14 takes "m's" place meaning that the slope = -14
If parallel lines have the same slope than the equation of a line parallel to y = −14x + 7 must have a slope of -14
The only equation that has a slope of -14 is D
Find the value of t for a t-distribution with 12 degrees of freedom such that the area to the left of t equals 0.025. Round your answer to three decimal places, if necessary.
Answer:
-2.179
Step-by-step explanation:
Given :
Degree of freedom, df = 12
Area to the left = 0.025
The value of T can be obtained using either a t distribution table or a T value calculator :
t0.025, 12 (to the left) = t(1-0.025), 12 = t0.975,12 = - 2.1788
Therefor le, t value with 12 degree of freedom, with area to the left being 0.025 is - 2.179
the slopes of the perpendicular lines are ____.
Answer:
a) negative reciprocals
Step-by-step explanation:
2x+y=8
x+y=4
Where do they intersect at?
Answer:
[tex]{ \bf{2x + y = 8 - - - (a)}} \\ { \bf{x + y = 4 - - - (b)}} \\ a - b : \\ x = 4 \\ 4 + y = 4 \\ y = 0 \\ { \tt{they \: intersect \: at \: (4, \: 0)}}[/tex]
A particle is projected vertically upwards . It attains a height h after 2 seconds and again after 10 seconds . the height h is numerically equal to
Answer:
320m
Step-by-step explanation:
that is the procedure above
what is office personnel?
Answer:
Office personnel refers to the office chief, sectional chiefs and assistants that carry out all the administrative as well as clerical functions jointly to archive the objectives of an organization.
Solve the equation and enter the value of x below. 3(x+11) + 5= 68
[tex]\boxed{ \sf{Answer}} [/tex]
[tex]3(x + 11) + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 38 = 68 \\ 3x = 68 - 38 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]3(x + 11) + 5 = 68 \\ 3 \times x + 3 \times 11 + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 33= 68 - 5 \\ 3x + 33= 63 \\ 3x = 63 - 33 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]
10 of 10
Work out the area of a rectangle with base, b = 38mm and perimeter, P =
100mm.
b
Let the height of the rectangle = h
2b + 2h = 100
2(38) + 2h = 100
2h = 100 - 76
h = 12mm
area of rectangle = base x height
= 38 x 12
= 456mm²
Answer:
456mm²
Step-by-step explanation:
using formula;
b/2( P - 2b) = A
substitute values
Question 9 of 10 What is the slope of the line shown below? A. 4 B.-1/4 C.1/4 D.-4
Answer:
c = 1/4
-1-1 = -2
-3-5 = -8
Step-by-step explanation:
An on-demand movie company charges 52.95 per movie plus a monthly fee of $39.95. Which expression represents
the yearly cost for x movie rentals?
295x+39.95
39.95x295
2958-39 95(12)
295x3995(12)
Hurry I'm being timed !
Answer:
52.95x + 39.95(12)
Step-by-step explanation:
Answer:
52.95 x + 39.95 (12)
Step-by-step explanation:
cost per movie = 52.95
a monthly subscription is 39.95 and there are 12 months in a year so it would be 39.95 x 12
the x would be dependent on the amount of movie rentals and therefore the cost of the rentals = 52.95 x
If px-3+qx+1=2x+3,Find the value of p+q
Solve for h. Make sure to use scrap paper to show your work.
( 136 + 6 x 8 ) ÷ 2 = g
Answer:
92
Step-by-step explanation:
6 x 8 = 48
48 + 136 = 184
184 / 2 = 92
Which of the following is a correct tangent ratio of the figure?
tan 72°= 58/19
tan 19° =58/72
tan 58° = 72/19
tan 72 = 19/52
Answer:
tan 72°=58/19
Step-by-step explanation:
i think this is the right answer
PLZ ANSWER ILL GIVE BRAINLIEST FIRST CORRECT ANSWER
Answer:
B) Y=-2x+1
Step-by-step explanation:
(-2,5)(2,-3)
M= -8/4 = -2
y = -2x + b
5 = -2(-2)+ b
B= 1
Y=-2x+1
Which answer represents the range of the logarithmic function given below?
F(x) = log0.6^x
.. A machine in a candy company creates 9,328 pieces of candy each hour. If a box of candy has 98 pieces in it, how many boxes does the machine make in one hour? The machine makes boxes each hour.
The pair of equations y = 0 and y = -7 has how many solutions?
Answer:
2 solutions so it can be inferred that it might be a quadratic
Step-by-step explanation:
Answer:
no solutions
Step-by-step explanation:
y = 0 and y = - 7 are horizontal parallel lines.
Since they are parallel, they never intersect and so have no solutions.