The solution of y= [tex]2x^{2} +x[/tex] given as:
x: 0 1 2 3
y: 0 3 10 21
What is Linear Equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given function is:
y= [tex]2x^{2} +x[/tex]
For finding the solution of above expression, take value of x and solve for y.
If x=0y= 2(0)+0
y=0
If x=1,y= [tex]2(1)^{2} +1= 3[/tex]
If x=2y=[tex]2(2)^{2} +2=10[/tex]
If x=3y= [tex]2(3)^{2} +3=21[/tex]
The required table is:
x: 0 1 2 3
y: 0 3 10 21
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HELP!!!!!!
This is the only thing i dont understand in my math class
Answer:
{1, 2, 3, 4}
Step-by-step explanation:
Concepts
The domain of a function is all the possible x-values for that function. In other words, it's all the x-coordinates listed in the graph.
Application
In this case, we have to list the domain of the given function. To do this, we have to first label the points, and then list their x-coordinates in increasing order.
Solution
Points:
(1, 4)(2, 3)(3, 2)(4, 1)X-Coordinates:
1, 2, 3, 4Domain:
{1, 2, 3, 4}A box with square base and a height of 8cm has a volume of 1 332 cm3. find the length of the side base
Answer:
12.9 cm
Explanation:
Volume of rectangular box = Length × Width × Height
Given following:
Height = 8 cmConsider one of the base side as xSolve for volume:
L × W × H = Vx × x × 8 = 1332x² = 1332/8x = √166.5 ≈ 12.9 cmWhat is the perimeter of the triangle below?
48.0 units
14.7 units
16.7 units
24.0 units
solve 3y= x+1 and 2y= x
Answer:
(2, 1 )
Step-by-step explanation:
3y = x + 1 → (1)
2y = x → (2)
substitute 2y = x into (1)
3y = 2y + 1 ( subtract 2y from both sides )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (2)
2(1) = x
2 = x
solution is (2, 1 )
Answer:
{y,x} = {-1,-2}
Step-by-step explanation:
2y = - 2
[2] y = - 1
// Plug this in for variable y in equation [1]
[1] 3•(-1) - x = -1
[1] - x = 2
// Solve equation [1] for the variable x
[1] x = - 2
// By now we know this much :
y = -1
x = -2
{y,x} = {-1,-2}
hope this helps
pls mark brainliest
Question 3
ceiling fan the blades of a ceiling fan have a length of 26 inches. the tips of the blades follow a circular path. how far does the tip of a
blade travel in 1/5 of a rotation? round to the nearest hundredth of an inch,
________inches
The distance the blades travel in 1/5 of a rotation is 32.67 in
Since the distance the blades of the ceiling fan rotate is the length of an arc, we find this length
What is the length of an arc?The length of an arc is given by
L = Ф/360° × 2πr where
Ф = angle of rotation and r = length of blades of fanSince
Ф = 1/5 of a rotation = 1/5 × 360° = 72° and r = 26 inThe distance the blades travelSo, substituting the values of the variables into the equation, we have
L = Ф/360° × 2πr
L = 72°/360° × 2π × 26 in
L = 1/5 × 52π in
L = 10.4π in
L = 32.67 in
So, the distance the blades travel in 1/5 of a rotation is 32.67 in
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Use the diagrams to determine which statements are true. Select all statements that are true.
Answer:
I don't see your questions.
Egypt. Africa. America
Write a 2nd degree equation whose solutions are 5+✓(11) and 5-✓(11)
Answer:
For each object, choose an appropriate scale for a drawing that fits on a regular sheet of paper. Not all of the scales on the list will be used.
Step-by-step explanation:
Sean has 3 times as many vegetable plants as Liz and Sejuan combined. Liz has 3 vegetable plants, and Sejuan has 2 vegetable plants. How many vegetable plants does Sean have?
Which statements about this word problem are true? Check all that apply.
A: This is an example of a part-whole problem.
B: This is an example of a comparison problem.
C: Addition then multiplication can be used to solve the problem.
D: Subtraction then division can be used to solve the problem.
E: Division then multiplication can be used to solve the problem.
Answer:
C: Addition then multiplication can be used to solve the problem
Step-by-step explanation:
What is the circumference of the following circle? Diameter=3 Radius=1.5
Answer: 3π in terms of pi or 9.42 if in π or pi= 3.14
Step-by-step explanation:
I NEED HELP IN THIS PLSSS
Answer:
1. A
2. i think c not sure
Step-by-step explanation:
Greta is painting two different rectangular prisms. The prisms have the following dimensions.
Prism A:
Length: 1 foot
Width: 4 inches
Height: 8 inches
Prism B:
Length: 10 inches
Width: 2 inches
Height: 1.5 feet
Which prism has a greater surface area, and what is its surface area in square inches?
Answer:
prism B is greater
Step-by-step explanation:
prism A
lenght: 1×4=4
width: 4×8=32
height: 8×1=8
add them all up and multiply it by 2 = 4+32+8×2=52
prism B
lenght: 10×2=20
width: 2×1.5=3
height:1.5×10=15
add them all up and multiply it by 2= 20+3+15×2=76
Can anyone help me with this area of sector activity? I'm not sure how to solve this. I will reward brainliest! Please tell me how you got your answer as well! this is 10th grade geometry
Answer:
Jenny has worked out the area of the whole circle using the formula π × r² where r is the radius length. She has assumed π is 3.14 which leads to her working of 3.14 × 10² = 314 units². She has to divide the total area by 4 to calculate the sector area.
Let's check
Angle is 90°Radius is 10Area of sector
Ø/360×πr²90/360×pi(10)²1/4×π(100)25π78.5units²what is the diffrence between -25 and -12
Help Find the unit rate.
4,928 rooms on 112 floors =
rooms per floor
4928 rooms / 112 floors
2464 rooms / 56 floors
---Really, all we are doing here is simplifying a fraction until we have a 1 in the denominator
44 rooms / 1 floor
Hope this helps!
Please help me! Im so confused. If you could explain, too that would be great!!! <3
Answer:
the base length is 8 units
Step-by-step explanation:
You can use pythagorean theorem to solve this
please help me I will give brainliest
Answer:
D
Step-by-step explanation:
um well just based on what its asking for it wants a sentence that uses both.
Without considering other forces such as friction what is the net force in this problem?
Answer:
25 N to the left
Step-by-step explanation:
The net force is equal to the differences in magnitudes of the forces acting on it.
Take the left direction to be positive (+) and right direction to be negative (-).
Solving :
Net Force = Force (left) - Force (right)
Net Force = 10 + 20 - 5
Net Force = 30 - 5
Net Force = 25 N to the left
F_net
F1+F2+F310+20-530-525NIs anyone free to help?
Answer:
-4 C (Negative 4 C)
Step-by-step explanation:
If its 20 C less in Moscow, then it must be 16-20 = - 4 C in Moscow.
Look up rules on subtracting large numbers from small numbers to understand how I got - 4.
This is the question picture
Answer:
A = X
B=Z
C=Y
Step-by-step explanation:
As they are congruent, their corresponding angles are also congruent
Answer:
a)
angle a is congruent to angle x
angle b is congruent to angle z
angle c is congruent to angle y
b)
line ab is congruent to line xz
line ac is congruent to line xy
line bc is congruent to line zy
c)
triangle bca is congruent to triangle zyx
PLEASE HELP!
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Answer:
For the circle with the diameter of 7cm, the area is about 38.48cm and the circumference is about 22cm
For the circle with the diameter of 5cm, the area is about 19.63cm and the circumference is about 15.7cm
Step-by-step explanation:
The formula to find the area of a circle is pi*r^2
The formula to find the circumference is 2*pi*r
r = radius, which can be determined simply by taking the diameter, and dividing it by 2.
Answer:
See below ~
Step-by-step explanation:
Circle 1 :
Area = πr² = 22/7 x (7/2)² = 11 x 7/2 = 77/2 = 37.5 cm²Circumference = 2πr = 2 x 22/7 x 7/2 = 2 x 11 = 22 cmCircle 2 :
Area = πr² = 22/7 x (5/2)² = 22/7 x 25/4 = 550/28 = 19.64 cm²Circumference = 2πr = 2 x 22/7 x 5/2 = 220/14 = 15.71 cmYolanda says she can use a sphere to model the surface area of the boulders on this beach. explain whether yolanda is correct. yolanda is . since the boulders have , the best shape to model the surface area is a .
Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.
What is a sphere?
A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.
Surface area of a sphere = 4πr²
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Answer:
Step-by-step explanation:
Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.
What is a sphere?
A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.
Surface area of a sphere = 4πr²
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Carl is covering the rectangular prism-shaped
box with cloth.
5 in.
2 in.
-
12 in.
what is the minimum amount of cloth carl
needs to cover the entire box?
The minimum amount of cloth carl needs to cover the entire box will be 188 square inches.
What is a surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called the surface area.
Given that:-
The length width and the height of the prism are 5 , 2 , and 12 inches respectively.The minimum amount of cloth carl needs to cover the entire box will be the surface area of the prism
Surface area = 2 [ (5 x 2)+ (12 x 5) + (12 x 2)]
Surface area= 188 square inches
Therefore the minimum amount of cloth carl needs to cover the entire box will be 188 square inches.
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What is the approximate circumference of the circle that has a center (3, 1) and passes through the point (3, 4)?
Step-by-step explanation:
You use the Distance Formula
d= √( x2 - x1 )^2 + ( y2 - y1 )^2
substitute
r= √(3-3)^2 + (4-1)^2
√0^2 + 3^2
r = √9
r = 3
Now you can use the equation for finding the circumference
2πr
2π3
≈ 6π or 18.85
Please help!!!!!!!! Thank you sooo much!
Answer:
see explanation
Step-by-step explanation:
(a)
∠ XBC = 55° because it corresponds to ∠ AXY
(b)
since XB = XC then Δ XBC is isosceles with base angles congruent, that is
∠ XBC = ∠ XCB = 55°
the sum of the 3 angles in Δ XBC = 180° , then
∠ BXC + 55° + 55° = 180°
∠ XBC + 110° =180° ( subtract 110° from both sides )
∠ XBC = 70°
The perimeter of a rectangle is 22,411 inches. The width of the
rectangle is 260 inches. What is the length, in inches, of the rectangle?
Answer:
Step-by-step explanation:
P = perimeter of the rectangle; and w = width of the rectangle.Use the formula:
Length(L) = P/2 - wPlug In:
22,411 ÷ 2 - 260
Solve:
22,411 ÷ 2 = 11205.510945.5Answer is L = 10,945.5 inches
explain: perimeter is all 4 sides added together
We know one side is 260
we know the perimeter is 22,411
260 + 260 + L + L = 22,411
combine like terms
520 + 2L = 22,411
subtract 520 from both sides to isolate 2L
2L = 21,891
divide both sides by 2 to isolate L
L = 10,945.5 inches
x² + y² = 34
=
y = x+2
Show your working.
Answer:
[tex]\left \{ {{y=5} \atop {x=3}} \right.[/tex] or [tex]\left \{ {{y=-3} \atop {x=-5}} \right.[/tex]
Step-by-step explanation:
Answer:
(- 5, - 3 ) , (3, 5 )
Step-by-step explanation:
x² + y² = 34 → (1)
y = x + 2 → (2)
substitute y = x + 2 into (1)
x² + (x + 2)² = 34
x² + x² + 4x + 4 = 34
2x² + 4x + 4 = 34 ( subtract 34 from both sides )
2x² + 4x - 30 = 0 ( divide through by 2 )
x² + 2x - 15 = 0 ← in standard form
(x + 5)(x - 3) = 0 ← in factored form
equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 3 = 0 ⇒ x = 3
substitute these values into (2) for corresponding values of y
x = - 5 : y = - 5 + 2 = - 3 ⇒ (- 5, - 3 )
x = 3 : y = 3 + 2 = 5 ⇒ (3, 5 )
A straight line whose equation is 3y-2x=-2 meets the x-axis at R determine the coordinates of R
Answer:
3y-2x=-2
The straight line meets the X-axis when y = 0
Hence, 3(0) - 2(x) = -2
2x = 2
x = 1
Therefore, the coordinates of R is (1,0)
Help please right now you will get thanks and brainlest and 25 points it's due at 9
Answer:
B.
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
Question 4
P(6) = Number of 6 rolled / Total rollsP(6) = 10/50P(6) = 1/5 = 0.2 = 20% [A, B, and E]Question 11
Part A
The complement of the event is all of the unlikely possibilitiesBasically everything other than rolling a 4[A, B, C, E, and F]Part B
P' (4) = 1 - P (4)P' (4) = 1 - 1/6P' (4) = 5/6
Find the vertex. f(x)=2^2 - 8
Answer:
(0, -√2)
Step-by-step explanation:
Given :
f(x) = x² - 8Finding vertex :
Given by (h, k)h = -b/2a = 0k = -D/4aD = √0 - 4(1)(-8) = √32 = 4√2k = -4√2/4 = -√2Vertex is (0, -√2)Find the surface area of the prism. Enter your answer in the box.
Answer:
Area of the prism = 2(lw + lh + wh)
l = length = 6 m
w = width = 3 m
h = height = 12 m
—
Area of the prism = 2(6*3 + 6*12 + 3*12) = 2(18 + 72 + 36) = 2(126) = 252 m²
—
Have a nice day!!