The table of values of the function y = 2x^2 is:
x 0 1 2 3 4
y 0 2 8 18 32
How to complete the table?The equation of the function is given as:
y = 2x^2
When x= 0, we have
y = 2 * 0^2 = 0
When x= 1, we have
y = 2 * 1^2 = 2
When x= 2, we have
y = 2 * 2^2 = 8
When x= 3, we have
y = 2 * 3^2 = 18
When x= 4, we have
y = 2 * 4^2 = 32
So, the table of values is:
x 0 1 2 3 4
y 0 2 8 18 32
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What is the solution to the system of equations graphed below? y = x + 2 y = 3x – 2 A. (0, 2) B. (2, 4) C. (4, 2) D. (0, –2)
Answer:
B. (2, 4)
Explanation:
Given equations:
a) y = x + 2
b) y = 3x – 2
Solve them simultaneously:
x + 2 = 3x – 2
x - 3x = -2 - 2
-2x = -4
x = 2
Then find y = x + 2 = 2 + 2 = 4
Solution: (x, y) = (2, 4)
Answer:
(2,4)
Step-by-step explanation:
substitute the value of y x+2 = 3x-2
solve the value of x x = 2
substitue the value of x into one of the equations y = 2+2
solve for y value y = 4
Find the area of the polygon.
2 cm
3 cm
1 cm
3 cm
4 cm
Answer:
20cm²
Step-by-step explanation:
3+3=6, 4+1=5 (make it a rectangle and find the sides first)
A=6×5=30cm²
Now you can take away the invisible sides,
30-6-3-1=20
Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations. What is the greasiest possible number of intersections for these graphs?
The greasiest possible number of intersections for these graphs is 2 if the Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
As we know the standard form of a quadratic equation is:
[tex]\rm Y = \rm ax^2+bx+c[/tex]
And a linear equation can be written as:
y = mx + d
Equating both the expression:
ax² + bx + c = mx + d
ax² + (b-m)x + c - d = 0
The above equation is an also quadratic equation, and we know that the quadratic equation have maximum two roots.
Thus, the greasiest possible number of intersections for these graphs is 2 if the Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression.
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Graph x > -1 on the number line
Number Line:
Closed Circles are used when signs are "≤" or "≥"
Open Circles are used when signs are "<" or ">"
The graph of x > -1 on a number line would be towards the right from -1 with open circle as the sign is ">"
Graph should look like this:
4.5 (−6.2)??????
explanation: i'm slow
Answer:
0
Step-by-step explanation:
simplfy: 4.5(6.2) = 0
Multiply 4.5 * 6.2
27.9 = 0
and solve
27.9 = 0
I hope this helps ^^
Answer:
= -27.9
If you mean multiplication, [tex]4.5\times(-6.2)=-27.9[/tex].
The product is negative because the (-)6.2 is negative.
Step-by-step explanation:
Bret works for a printing company-each document takes 8 sheets of paper-he has 500 sheets-how many documents can he print
Answer:
He can print 62 documents
Step-by-step explanation:
500/8=62.5
He can print only 62 documents because he cannot print half a document.
Hope this helps!
If not, I am sorry.
Help please!! 10 points!
Answer:
tanG = 2
tanH = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The function tangent is the opposite side divided by the adjacent one(SohCahToa).
Relative to angle G, the side with measure 2 is opposite while the wide with measure 1 is adjacent. From this we can set up an equation and substitute:
tan(m<G) = [tex]\frac{opposite}{adjacent}[/tex]
tan(m<G) = [tex]\frac{2}{1} = 2[/tex]
The same can be done for <H. The opposite side is 1 while the adjacent is 2:
tan(m<H) = [tex]\frac{opposite}{adjacent}[/tex]
tan(m<H) = [tex]\frac{1}{2}[/tex]
The floor of a rectangular room is 300 cm long and 180 cm wide. to carpet the floor? How many small tiles are needed
The number of small tiles are needed is 300 tiles.
Number of tiles neededUsing area of rectangular formula
Area of the room = length(l) × breadth (b)
Area of the room=300 cm×180 cm
Area of the room=54,000 cm²
Number of tiles needed = Area of rectangular region / Area of one tile
Number of tiles needed=54,000/180
Number of tiles needed=300 tiles
Therefore the number of small tiles are needed is 300 tiles.
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A store sells 6 batteries for $4.95. Which deal is a better buy? OA. 2 for $1.80 OB. 4 for $3.99 O C. 8 for $6.99 D. 10 for $7.50
Answer:
D
Step-by-step explanation:
7.50/10=0.75
0.75*6=4.5
So, you will get 6 batteries for $4.50 which of course is less than $4.95.
Find the 60th term of the arithmetic sequence -27, -24, -21, ...−27,−24,−21,...
Answer:
150
Step-by-step explanation:
The common difference, d, is +3 add +3 to find the next term.
to find the second term add +3 to the first term
to find the third term add 2 * +3
to find the 60th term add 59 * +3 to the first term
-27 + (59*3) = 150
$75 before tax. Disc: 10% Tax: 7%, Tip: 20% what's the total PLEASE help
Answer:
total: $86.68
Step-by-step explanation:
The value of each change is found by multiplying the base amount by the percentage change. The result is rounded to the nearest cent. Here, we're applying 3 changes. In order to make sure they're rounded properly, we need to apply them in order
__
discountThe discount amount is ...
discount = bill × 10% = $75.00 × 0.10 = $7.50
The discounted amount is ...
bill - discount = $75.00 -7.50 = $67.50
__
taxThe tax amount is ...
tax = discounted bill × tax rate = $67.50 × 0.07 = $4.725 ≈ $4.73
The bill with tax added is ...
discounted bill + tax = $67.50 +4.73 = $72.23
__
tipThe tip is apparently added to the amount after tax, so the amount of the tip is ...
tip = taxed bill × 0.20 = $72.23 × 0.20 = $14.446 ≈ $14.45
The bill with tax and tip added is ...
total bill = $72.23 +14.45 = $86.68
_____
Additional comment
At each stage, the amount can be found by using the multiplying factor (1+p), where p is the percentage change. All three factors applied gives a result of ...
75×(1-0.10)(1+0.07)(1+0.20) = 75×0.9×1.07×1.2 = 86.67
You will note this differs by a penny from the amount calculated above. That is a consequence of rounding up both the tax and the tip.
What is the slope of the line graphed below (3,3) (0,-6)
m=
О А. -
О в. з
0 с. -3
OD. 3
-5
O
-5
(0, -6)
(3, 3)
5
The slope of the line passing through the points (3, 3) and (0, -6) is 3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the slope of line passing through points (3, 3) and (0, -6)
Plug in the values in formula.
m=-6-3/0-3
m=-9/-3
m=3
Hence, the slope of the line passing through the points (3, 3) and (0, -6) is 3.
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If x= 7 - 4√3 then find the value of (a) (x+1/x) rais to 2 b) x rais 2+1/x rais to 2
The equation x = 7 - 4√3 is a radical expression, and the value of the radical expression is [tex](x + \frac 1x)^2 = 3650401 -2107560\sqrt 3[/tex]
How to solve the expressions?The equation is given as:
x = 7 - 4√3
So, we have:
[tex](x + \frac 1x)^2 = (7 - 4\sqrt 3 + \frac{1}{7 - 4\sqrt 3})^2[/tex]
Take the LCM
[tex](x + \frac 1x)^2 = (\frac{49 -56\sqrt3 + 48}{7 - 4\sqrt 3})^2[/tex]
Evaluate the like terms
[tex](x + \frac 1x)^2 = (\frac{97 -56\sqrt3 }{7 - 4\sqrt 3})^2[/tex]
Rationalize
[tex](x + \frac 1x)^2 = (\frac{(97 -56\sqrt3)(7 - 4\sqrt 3) }{49 -48})^2[/tex]
Evaluate the difference
[tex](x + \frac 1x)^2 = ((97 -56\sqrt3)(7 - 4\sqrt 3))^2[/tex]
Expand
[tex](x + \frac 1x)^2 = (679 -388\sqrt 3 -392\sqrt 3 + 672)^2[/tex]
Evaluate the like terms
[tex](x + \frac 1x)^2 = (1351 -780\sqrt 3 )^2[/tex]
Expand
[tex](x + \frac 1x)^2 = 1825201 +1825200 -2107560\sqrt 3[/tex]
[tex](x + \frac 1x)^2 = 3650401 -2107560\sqrt 3[/tex]
Hence, the value of the radical expression is [tex](x + \frac 1x)^2 = 3650401 -2107560\sqrt 3[/tex]
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Find the radius and circumference of a circle with an area of 28.26.
Answer:
Radius = 3
Circumference = 18.84
Step-by-step explanation:
A = πr²
28.26 = 3.14r²
√9 = √r²
3 = r
C = 2πr
C = (2)(3.14)(3)
C = 18.84
Polygon ABCDE is reflected to produce polygon. A B C D E. what is the equation for the line of reflection
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time?
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time
Answer:
s
Question 2: Find the surface area of each of these spheres.
(a)
7cm
Give each answer in terms of n (you may not use a calculator)
(b)
(c)
8cm
1.1m
Answer:
a=263.76cm3
b=301.44cm3
c=41.52m3
which of the following represents the diameter of the circle below?
Answer:
[tex]\overline{TH}[/tex]
Step-by-step explanation:
A - This is the radius of the circle (half the diameter, we are not looking for this)B - This is the center of the circle (a point)C - This is a point on the circle (also a point)D - This is the diameter of the circleThe diameter of a circle is a line that goes from one side to the other in a circle. It is the longest straight line that can be drawn in a circle. It also goes through the center of a circle.
That is the answer
- Kan Academy Advance
y is inversely proportional to √x
y = 9 when x = 16
a) An equation connecting y and x can be written in the form y=k/ √x
Work out the value of k.
k=
b) Work out the value of y when x = 25
y =
c) Work out the value of x when y = 4.5
Answer:
k=36; y=1.44; x=8
Step-by-step explanation:
a) y= k/square root of x
9=k/square root of 16
9=k/4
9×4= (k/4)×4
therefore k=36
b) Using k...
y=36/25
therefore y=1.44
c) 4.5=36/x
4.5×(x)= (36/x)×(x)
4.5x=36
therefore x=8
DL is a perpendicular bisector of chord GA. Identify the diameter.
Find the measure of the three missing angles in the parallelogram below.
Answer:
x= 67, y= 113 , z= 67........... ...........
Please help me!! High school algebra 2 math. Big Ideas Math.
Step-by-step explanation:
We know that,
[tex]\boxed{\sf \sin θ = \dfrac{Opposite \: side}{Hypotenuse}}[/tex]
[tex]\longmapsto \sf \sin 30^{\circ} = \dfrac{x}{12}[/tex]
[tex]\longmapsto \sf \dfrac{1}{2}= \dfrac{x}{12}[/tex]
[tex]\longmapsto \sf \dfrac{1}{2}×12= \dfrac{x}{12}×12[/tex]
[tex]\longmapsto \sf x = 6[/tex]
Answer:
x = 6
Step-by-step explanation:
Hello!
The missing angle is 60°, and is found by subtracting 90° and 30° from 180°.
Using basic triangle theorems of a 30° - 60° - 90° triangle, we know that the leg opposite to 30°, x, is one-half of the hypotenuse.
So:x = 0.5(12)x = 6.The value of x is 6.
The leg opposite to 60° is √3 times the leg opposite to 30°.
factorise fully 8x2-4x
Answer:
4x(2x-1)
Step-by-step explanation:
Using GCF, you can be able to take out a factor of 4x from 8x^2 and 4x.
Help please
I need to now asap
Answer:
x = 55.866 ft.
Step-by-step explanation:
39^2 + 40^2 = x^2
1521 + 1600 = 3121
sqrt(3121) = 55.8659
Rounded = 55.866
Make sure to add the ft.
Answer:
Step-by-step explanation:
a²+b²=c²
39²+40²=c²
3121=c²
c=√3121
c=55.866 to 3.d.p
Please help me I need it now please please please
Answer:
1st triangle: missing angle is 100
2nd triangle: missing angles are 50
3rd triangle: missing angle is 90, this is also a right triangle. The hypotenuse on this is the side length that reaches from angle 70 to 20. the other sides are legs
Step-by-step explanation:
PHOTO ATTACHED, please help ASAP, will give brainliest
Find the value of x that will make A||B.
5x + 9
A
B
Entor
6x-2
X =
= [?]
Answer: x=11
Step-by-step explanation:
Set the two equations equal to each other
5x+9 = 6x-2
9=x-2
11=x
x=11
X will need to be 11 in order to make the two equations equal to each other
The cost of 10 days at healthy gym
HELP ASAP 50 POINTS - WILL MARK BRAINLIEST
At U.S. Cellular Field, Home of the Chicago white Sox, The distance from home plate to the center field fence is 400 ft. and the height of the center field fence is 8 ft. If in this project, you assume that a batter always hits the ball 2 feet above the ground, then the angle of elevation rounded to the hundredths place, needed for a baseball to just clear the centerfield fence at US cellular Field is
How do you know that a ball hit 2 ft off the ground at US cellular field will need to leave the bat at an angle of 0.86° to just clear the 8 ft centerfield fence located 400 ft from home plate? The question can be answered using trigonometry, or more specifically, the tangent ratio and its inverse. Think about it.
Draw a triangle & label it, assuming you don't know the angle of elevation. Use the underlined facts to calculate an angle of elevation of 0.86 degrees.
Answer:
0.86°
Step-by-step explanation:
The relations between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. It tells you the relation between an angle and its adjacent and opposite sides is ...
Tan = Opposite/Adjacent
__
angle from the batThe geometry described in the problem statement is modeled by the right triangle shown in the attachment. (The horizontal scale has been compressed.) The angle of interest has an adjacent side of 400 ft. Its opposite side is the additional elevation the ball must have to clear the fence (8 ft - 2 ft) = 6 ft.
For angle α, we have the relation ...
tan(α) = (6 ft)/(400 ft) = 0.015
The inverse tangent function can be used to find the angle from its tangent:
α = arctan(0.015) ≈ 0.859372°
The angle of elevation needs to be a minimum of 0.86°.
Simplify this expression.
(√2+√3)(√5-√7)
O √5+√=2
O √10+√15-√14-√21
02√5-2√7
O 2√5 +3√5-2√7-3√7
Answer:
√10+√15-√14-√21
Explanation:
(√2 * √5) = √10
(√2 * -√7) = -√14
(√3 * √5) = √15
(√3 * -√7) = -√21
Put it all together: √10 + √15 - √14 - √21
Hope this helped :)
The simplified form of the expression (√2+√3)(√5-√7) is √10-√14+√15-√21
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (√2+√3)(√5-√7)
√2(√5-√7) + √3(√5-√7)
We have to apply distributive property
√2.√5 - √2.√7 + √3.√5 -√3.√7
√2×5 -√2×7 +√3×5 -√3×7
√10-√14+√15-√21
Hence, the simplified form of the expression (√2+√3)(√5-√7) is √10-√14+√15-√21
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Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake.
How much space does Lacey's mom cover in frosting?
Answer:
Step-by-step explanation:
I’m not sure u didn’t even add numbers