1. The graph of a quadratic function is called a(an)
Copy and complete the table of values for the function.
2.
y=-1/3 x²

1. The Graph Of A Quadratic Function Is Called A(an)Copy And Complete The Table Of Values For The Function.2.y=-1/3

Answers

Answer 1

The graph of a quadratic function is called a parabola

The complete table is

x = -6, -3, 0, 3 6

y = -12  -3 0 -3 -12

How to complete the table of values?

From the question, we have the following equation that can be used in our computation:

y=-1/3 x²

From the table of values , we have the following x values

x = -6, -3, 0, 3 and 6

Substitute x = -6, -3, 0, 3 and 6 in y=-1/3 x²

So, we have the following representation

y = -1/3 (-6)² = -12

y = -1/3 (-3)² = -3

y = -1/3 (0)² = 0

y = -1/3 (3)² = -3

y = -1/3 (6)² = -12

So, the complete table of values is

x = -6, -3, 0, 3 6

y = -12  -3 0 -3 -12

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Related Questions

Can someone help me please with three questions? 31, 35 and 37?

Answers

Answer:   Simplified

31. 13a2 + 10a

35. 9a2 - 21a + 12

37. 2x2 - 8x

Step-by-step explanation:

What is m<1? Help please

Answers

Answer:

139

Step-by-step explanation:

Inside angles of a triangle = 180 degrees

61 + 78 = 139

180 - 139 = 41

unknown interior angle = 41 degrees

So m<1 = 139

(Or just add the two interior angles together)

The amount of water that fits in a fish tank represents the _______________ of the fish tank.

Answers

Answer:

Volume

Step-by-step explanation:

The amount of water that fits in a fish tank represents the Volume of the fish tank.

When you pour water, it occupies the space and the weight of the tank increases. So, it represent the volume

pls help me i suck at math and i really need this done.

Answers

Answer:

1.x²+x-2

=x²+2x-x-2

=x(x+2)-1(x+2)

=(x+2)(x-1)

2.

(x²+x-2)/(x-1)

={x²+2x-x-2}/(x-1)

={x(x+2)-1(x+2)}/(x-1)

={(x+2)(x-1)}/(x-1)

=(x+2) true

If a gold ring has a sale price of $21, what was the original price?
There was a sale that was 30% off.

Answers

Answer:

27.30

Step-by-step explanation:

it would be 70 originally because when u turn 30% into a decimal it would be .3 and so u now divide 21 by .3 and get the answer of $70


The following data set shows the number of project points each student in a class earned last week.
68, 84, 86, 74, 58, 82, 82, 96, 78, 96, 70, 78, 98, 80, 94, 96, 64, 82, 74, 78, 96. W
Which dot plot correctly displays this data?

Answers

Answer:

D

Step-by-step explanation:

I think its correct

Answer:

C.

Step-by-step explanation:

What is the area of triangle HGF? Round your answer to the nearest tenth of a square centimeter. Recall that you need to round up if the value of the hundredth is 5 or greater?

Answers

Answer:

[tex] 9.75 \: {cm}^{2} [/tex]

Step-by-step explanation:

[tex]A(\triangle HGF) = \frac{1}{2} \times 6.5 \times 3.0 \\ \\ = 6.5 \times 1.5 \\ \\ = 9.75 \: {cm}^{2} [/tex]

    Escribe en forma de potencia y encuentra el valor
a)    2⁴ . 2² =  
b)    (-5)⁸/(-5)³=
c)     ((-9)² )3³​

Answers

Answer:

a) =2^(4+2)

=2^6

=64

b) =(-5)^(8-3)

=(-5)^5

= - 3125

c) =(81)(27)

=2187

PLEASE HELP URGENT ILL GIBE BRANLIEST

Answers

Answer:

A 1.85

Step-by-step explanation:

cos 72 = 6/x

x cos 72 = 6

x = cos 72/6 = 1.84

Answer:

A

Step-by-step explanation:

1.84

The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, each cross section perpendicular to the x -axis is a semicircle. What is the volume of the solid?

Answers

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

[tex]\displaystyle A=\frac{1}{2}\pi r^2[/tex]

The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:

[tex]\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx[/tex]

Substitute:

[tex]\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx[/tex]

Simplify:

[tex]\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx[/tex]

Integrate:

[tex]\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right][/tex]

Evaluate:

[tex]\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3[/tex]

The volume of the solid is π/40 cubic units.

Volume of a solid is the measure of the 3 dimensional space it occupies. The volume of the considered solid is obtained as [tex]\dfrac{\pi}{40} \: \rm unit^3[/tex]

How to find the volume of a three dimensional region bounded by curves?

For that, we can try to find infinitesimally small 3-d region's volume, and then integrate that region over the dimensions available to get the total volume of the specified region.

We can also use the fact that continuous curves are almost linear and non-changing in infinitely zoomed region.

The given solid has base bounded by x-axis, [tex]y=x^2[/tex] and 0≤x≤1

Its three dimensional region is along the z axis, for each x, there is a semicircle perpendicular with radius being 'y'.

If we take [tex]dx[/tex]x-axis, then the curve  [tex]y=x^2[/tex]cylinder(split from height because of semicircle)) with diameter y, and height [tex]dx[/tex]volume is : [tex]V_{dx} = \dfrac{1}{2} \times \pi (\dfrac{y}{2})^2 \times dx = \dfrac{\pi (x^2)^2}{8}dx = \dfrac{\pi x^4}{8} dx[/tex]

Integrating this for 0≤x≤1, we will get the volume of the three dimensional region needed as:

[tex]V = \int_0^4V_{dx} = \int_0^1 \dfrac{\pi x^4}{8} dx = \dfrac{\pi}{8} [\dfrac{x^5}{5}]^1_0 = \dfrac{\pi 1^4}{40} = \dfrac{\pi}{40}[/tex] (in cubic units).

Thus, the volume of the considered solid is obtained as [tex]\dfrac{\pi}{40} \: \rm unit^3[/tex]

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What is the area of the circle with the radius of 5? Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

area of circle=π(5)²=25 π≈25×3.14≈78.5

Answer:

A≈78.54

Step-by-step explanation:

A=πr2=π·52≈78.53982

Also i left this out but the radius of the circle is 5.

Chill im only a 7th grade nerd studying in Real Estate and Finances

Also hopes this helps ;0

A culture of bacteria has an initial population of 89000 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 11 hours, to the nearest whole number?

Answers

Answer:

230837

Step-by-step explanation:

Please help. We are stuck on this one question. Thank you

Answers

Answer:

D

Step-by-step explanation:

All the x and y values have a proportion of 5:1

Answer:

D

Step-by-step explanation:

Proportional relationship means there is a common difference between X and Y. That is only present in D, where x/5 = y.

X       Y

5/5 = 1

10/5 = 2

15/5 = 3

20/5 = 4

25/5 = 5

A hang glider dropped his cell phone from a height of 450 feet. How many seconds did it take for the cell phone to reach the ground?

Answers

Answer:

t = 9.58 s

Step-by-step explanation:

Given that,

The height from where the cell phone is dropped, h = 450 feet

We need to find the time for the cell phone to reach the ground. Let the time be t. Using second equation of kinematics to find it.

[tex]h=ut+\dfrac{1}{2}at^2[/tex]

u is initial velocity, u = 0

a = g

So,

[tex]h=\dfrac{1}{2}at^2\\\\t=\sqrt{\dfrac{2h}{g}} \\\\t=\sqrt{\dfrac{2\times 450}{9.8}} \\\\t=9.58\ s[/tex]

So, it will take 9.58 seconds to reach the ground.

QRST is an isosceles trapezoid and m

Answers

Answer:

B. [tex] \huge \red {\boxed { 64\degree}} [/tex]

Step-by-step explanation:

QRST is an isosceles trapezoid (Given)Measures of base angles of an isosceles trapezoid are equal. RS || QT and, ST and RQ are transversals.

[tex] \therefore m\angle S = m\angle R[/tex]

[tex] \because m\angle R= 116\degree [/tex]

[tex] \therefore m\angle S= 116\degree [/tex]

[tex] m\angle S + m\angle T = 180\degree [/tex]

(angles on the same side of transversal)

[tex] 116\degree + m\angle T = 180\degree [/tex]

[tex] m\angle T = 180\degree - 116\degree [/tex]

[tex] \huge \purple {\boxed {m\angle T = 64\degree}} [/tex]

At a peace summit, seven Hatfield and nine McCoy family
members sit down for a meeting. If the Sheriff orders two
randomly selected participants to shake hands at the end of
the meeting, what is the probability that the two are from
different families?

Answers

Answer:

0.525 = 52.5% probability that the two are from different families.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order in which the two participants are selected is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

1 from the Harfield family(from a set of 7).

1 from the McCoy family(from a set of 9). So

[tex]D = C_{7,1}*C_{9,1} = \frac{7!}{1!6!}*\frac{9!}{1!8!} = 7*9 = 63[/tex]

Total outcomes:

2 from a set of 16. So

[tex]T = C_{16,2} = \frac{16!}{2!14!} = 120[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{63}{120} = 0.525[/tex]

0.525 = 52.5% probability that the two are from different families.

In the image below, the length of the arc defined by the sector is

Answers

Answer:

10pi feet

Step-by-step explanation:

The formula for arc length (degrees) is: 2pi x radius x angle/360

2pi x 30 x 60/360

60pi x 1/6

10pi

In a sample of 800 people, 420 are in favor of a proposed scoring system. A golf course wants to implement an electronic scoring system where shots are counted by satellites to reduce human error and to show real-time scores at the clubhouse. Is there enough evidence to conclude that the majority of the golfing community is a proponent of the new system at an alpha level of .05. Determine the number of tails for this problem, the critical value and the test statistic.

Answers

Answer:

We accept H₀ with 95 % of Confidence Interval we have enough evidence to conclude that the majority of members agree with the new system

Step-by-step explanation:

Sample size      800

Sample   x₁   = 420   ( number of people in favor of a proposed scoring system), then

p₁ = 420/800   p₁  =  0,525    p₁  = 52,5 %  then

q₁  =  1  - p₁     q₁  =  1  - 0,525      q₁  =  0,475

Sample size enought to use the approximation of the binomial didtribution to normal distribution

If significance level is 0,05    α  = 0,05

and from z-table we look for z(c)  ( z critical value)

z (c)  = 1,64

Hypothesis Test:

Null Hypothesis                       H₀            p₁  = 0,5

Alternative Hypothesis           Hₐ            p₁  >  0,5

Alternative hypothesis tells us about a one tail-test to the right

To calculate

z(s) =  (  p₁  -  0,5) / √ (p₁*q₁) / n

z(s) =   0,025 / √ 0,525*0,475/800

z(s) =   0,025 / √0,000311

z(s) = 0,025/0,01765

z(s) = 1,416

Comparing z(c)  and z(s)

z(s) < z(c)       1,416 <  1,64

z(s) is in the acceptance region we accep H₀.

Easy problem just look at the photo

Answers

Answer:

55

Step-by-step explanation:

a triangle adds up to 180°

25+30+x= 180

55+x=180

x=180-55

x=125

x and y is a straight line so it adds up to 180°

x=125 y=?

x+y=180

125+y=180

y=180-125

y=55°

y= 55°

if the nth term of a number sequence is n squared-3 if the first 3 terms and the 10th term

Answers

Answer:

First three terms: -2, 1, 6

Tenth term: 97

Step-by-step explanation:

Given

[tex]T_n =n^2 -3[/tex]

Required

The first three terms and the tenth

So, we have:

First term: n =1

[tex]T_1 = 1^2 - 3 = 1 - 3 = -2[/tex]

Second term: n = 2

[tex]T_2 = 2^2 - 3 = 4 - 3 = 1[/tex]

Third term: n = 3

[tex]T_3 = 3^2 - 3 = 9 - 3 = 6[/tex]

Tenth term: n = 10

[tex]T_{10} = 10^2 - 3 = 100 - 3 = 97[/tex]

simplify:(-5/8x3/7x4/-15)+(4/7x-21/8)​

Answers

Answer:

4x/7 - 143/56

Step-by-step explanation:

Given the function f(x) = 5x2 - 3x + 2, what is f(2)?

Answers

Answer:

f(2) means you substitute 2 with x in the function f(x) = 5x^2 - 3x + 2

Step-by-step explanation:

f(2) = 5(2)^2 - 3(2) + 2

f(2) = 5(4) - 6 + 2

f(2) = 16

This is an isosceles trapezoid.
R.
S
75
N
Х
Y У
T
U
z =
[?]
Enter the number that belongs in
the green box.
Enter

Answers

Answer:

75

Step-by-step explanation:

it would be the same as it opposite side S because they are the same

What is the greatest common factor of 10x^2 and 15x ?

Answers

Answer:

5

Step-by-step explanation:

because 5 is used for both numbers and that's why

Answer:

5x

Step-by-step explanation:

Both 10 and 15 have a HCF of 5

And both values have x in common

A rectangular swimming pool has a width of 42 ft and a diagonal of 70 ft. Find the length of the pool.

Answers

Answer:

56 feet.

Step-by-step explanation:

The formula for finding the length of a rectangle, given the diagonal and the width is [tex]\sqrt{d^2 -{w^{2}[/tex]. So, [tex]\sqrt{4900 - 1764[/tex]. If you put this thing in the calculator you get 56.

If 2^2x = 2^3, what is the value of x?

Answers

Answer:

x = 2

Step-by-step explanation:

what is the length of the hypotenuse of the triangle when x=7?

Answers

Answer:

c=57.8

Step-by-step explanation:

6*7+4=46

5*7=35

c= 46^2+35^2=57.80138

Brie needs cups of flour for her recipe. Which amount is enough for Brie's recipe?

Answers

Answer:

2[tex]\frac{1}{2}[/tex] cups

Step-by-step explanation:

Hi there,

When dealing with these types of problems, it is highly recommended to set the same denominators for the fractions you are dealing with. In this problem, we can see that 2[tex]\frac{1}{2}[/tex] is equivalent to [tex]\frac{5}{2}[/tex]; making this the correct answer choice.

Hope this explanation helps.

Cheers.

Suppose you have a right triangle with congruent legs and a hypotenuse that measure (12√5)/5. What is the length of the smaller leg? Round to the nearest hundredth

Answers

Answer:

5.4 is the length

Step-by-step explanation:

5.333 - (12√5)/5 - round to nearest hundreth (5.4)

length total 5.4

Thanks and Rate my Answer Please!

The length of the smaller leg is 3.8 unit.

What is Pythagoras theorem?

Pythagoras theorem states that "the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)" i.e.

[tex]c^{2} = a^{2} + b^{2}[/tex]

Let the length of the leg be b and a.

According to the given question.

We have a rigth triangle which have congruent legs.

And hypotenuse, c = [tex]\frac{12\sqrt{5} }{5}[/tex]

Since, the legs are congruent.

Therefore,

a = b

Now, according to the Pythagoras theorem.

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]\implies c^{2} = a^{2} + a^{2}[/tex]

[tex]\implies c^{2} = 2a^{2}[/tex]

[tex]\implies (\frac{12\sqrt{5} }{5} )^{2} = 2a^{2}[/tex]

[tex]\implies \frac{144\times 5}{25} = 2a^{2}[/tex]

[tex]\implies \frac{144}{5} = 2a^{2}[/tex]

[tex]\implies \frac{72}{5} = a^{2}[/tex]

[tex]\implies a = \sqrt{\frac{74}{5} }[/tex]

[tex]\implies a = \sqrt{14.8}[/tex]

[tex]\implies a = 3.84[/tex]

[tex]\implies a = 3.8[/tex] unit

Hence, the length of the smaller leg is 3.8 unit.

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A cube with a surface area of 54 square centimeters is shown.
Twelve cubes like the one shown are combined to create a larger cube. What is the volume, in cubic centimeters of the new cube?

Answers

Answer:

54 cm

Step-by-step explanation:

they are the same i think

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