ope Equation
fy
What is the equation of the line in point-slope form?
4
= {(x + 4)
Oy+4=;
O y-4 = 2(x + 4)
N
Oy - 0 = 2(x-4)
Oy - 4 = 2(x -0)
4
-2.
2.

Answer:

line passes through the vertex

Step-by-step explanation:

f(x)=-3(x+2)^2+4

x=-2 it is the x of the vertex

Answer:

[tex]$ \frac{6x^2-5x+15 }{x^2-3x} $[/tex]

Step-by-step explanation:

[tex]$\frac{6x}{x-3} -\frac{5}{x} $[/tex]

[tex]$\frac{6x(x)}{x(x-3)} -\frac{5(x-3)}{x(x-3)} $[/tex]

[tex]$\frac{6x^2}{x^2-3x} -\frac{5x-15}{x^2-3x} $[/tex]

[tex]$ \frac{6x^2-5x+15 }{x^2-3x} $[/tex]

Answer:

75 %

Step-by-step explanation:

1500 - 375 =1125

So 1125 is spent on the gaming system

Take this over the total amount to get the decimal form

1125/1500 =.75

Change to percent form

75 %

Answer:

75%

Step-by-step explanation:

First we have to find the amount he is using for the gaming system which is

$1500 - $375 = $1125

Now we will express $1125 as a percentage of the total amount and we do that like this;

[tex]\frac{1125}{1500}[/tex] * 100%

= [tex]\frac{1125}{15}[/tex]

=75%

Answer:

(12, 2) is the original point on the graph of [tex]y=f(x)[/tex].

Step-by-step explanation:

Given:

[tex]y= 5f(2(x+3))-4[/tex] has a point (3, 6) on its graph.

To find:

Original point on graph [tex]y=f(x)[/tex] = ?.

Solution:

We are given that The point (3, 6) is on the graph of [tex]y= 5f(2(x+3))-4[/tex]

If we put x = 3 and y = 6 in [tex]y= 5f(2(x+3))-4[/tex], it will satisfy the equation.

Let us the put the values and observe:

[tex]6= 5f(2(3+3))-4\\\Rightarrow 6= 5f(2(6))-4\\\Rightarrow 6= 5f(12)-4\\\Rightarrow 6+4=5f(12)\\\Rightarrow 5f(12)= 6+4\\\Rightarrow 5f(12)= 10\\\Rightarrow f(12)= \dfrac{10}{5}\\\Rightarrow f(12)= 2\\OR\\\Rightarrow 2=f(12)[/tex]

Now, let us compare the above with the following:

[tex]y=f(x)[/tex]

we get y = 2 and x = 12

So, the original point on graph of [tex]y=f(x)[/tex] is (12, 2).

The value is 44.977

Feel pleasure to help u

Answer:

44.977

Step-by-step explanation:

Answer:

60-|||

61-

62-||

62

64-|||

65

66

67-|

68-|||

69-|

70-||

71

72-||

73

74-||

75

76-||

77

78-|

This is a stem and leaf plot.

mean is 138.2/20=6.91

median of 20 is half way between 10th and 11th or an ordered plot. The 10th and the 11th are both 6.8, so that is the median.

6.4 and 6.8 are modes, but they are so minimal I would say there isn't a clear mode.

The range is 1.8, the largest-the smallest

This is not a normal distribution.

z=(x-mean) sd

a.(72-70.5)/1.5=1 so z>1 is the probability or 0.1587.

b.shorter than 67.5 inches is (67.5-70.5)/1.5 or z < = -2, and probability is 0.0228.

c.Between 69 and 72 inches is +/- 1 sd or 0.6826.

95% is 1.96 sd s on either side or +/- 1.96*1.5=+/- 2.94 interval on either side of 70.5

(67.56, 73.44)units in inches

Step-by-step explanation:

Answer:

[tex] P(X=8)[/tex]

And using the probability mass function we got:

[tex]P(X=8)=(20C8)(0.58)^8 (1-0.58)^{20-8}=0.0486[/tex]

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

[tex]X \sim Binom(n=20, p=1-0.42=0.58)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

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

And we want to find this probability:

[tex] P(X=8)[/tex]

And using the probability mass function we got:

[tex]P(X=8)=(20C8)(0.58)^8 (1-0.58)^{20-8}=0.0486[/tex]

The probability of exactly eight successful trials is 0.0486 and this can be determined by using the formula of the probability mass function.

Given :

According to the binomial distribution, the probability mass function is given by:

[tex]\rm P(X) = \; (^nC_x )(p^x)(1-p)^{n-x}[/tex]

where the value of n is 20 and the value of (p = 1 - 0.42 = 0.58).

Now, substitute the values of known terms in the above expression of probability mass function.

[tex]\rm P(X=8) = \; (^{20}C_8 )((0.58)^8)(1-0.58)^{20-8}[/tex]

Simplify the above expression in order to determine the probability of exactly eight successful trials.

P(X = 8) = 0.0486

For more information, refer to the link given below:

https://brainly.com/question/23017717

The length of the MK is 5 units if the length of MK = length of HK - length of HM.

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

We have a number line shown in the picture.

From the number line:

Length of MK = Length of HK - length of HM

MK = 26 - 21

MK = 5 units

Thus, the length of the MK is 5 units if the length of MK = length of HK - length of HM.

Learn more about the number line here:

brainly.com/question/13189025

#SPJ2

Answer:

24

Step-by-step explanation:

=> (-8)(-3)

So, Here is the rule for it => ( - )( - ) = ( + )

=> +24

Answer:

5/7

Step-by-step explanation:

We are given two points so we can find the slope by using

m = (y2-y1)/(x2-x1)

    = (15-5)/(21-7)

    =10/14

   5/7

Answer:

no solutions

Step-by-step explanation:

y = − 3 x + 9

3 y = − 9 x + 9

Multiply the first equation  by -3

-3(y )=-3( − 3 x + 9)

-3y = 9x -27

3 y = − 9 x + 9

-------------------------

0 = 0 -18

0 = -18

This is never true so there are no solutions

Answer:

for kahn academy -- b -- ( no solutions)

Step-by-step explanation:

The answer is Ferris wheel, since it is a circular object and will display symmetry even when rotated.

Answer:

j = -37

Step-by-step explanation:

First find the slope of 2x + 3y = 21

Solve for y

Subtract 2x from each side

2x-2x + 3y =-2x+ 21

3y = -2x+21

Divide by 3

3y/3 = -2x /3 + 21/3

y = -2/3 x +7

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

m = -2/3

The slope of parallel lines are equal

Using the two points

m = (y2-y1)/(x2-x1)

-2/3 = (17 - -9)/(j-2)

-2/3 = (17 +9)/(j-2)

Using cross products

-2(j-2) = 3 ( 17+9)

-2j +4 = 26*3

-2j +4 = 78

Subtract 4 each side

-2j = 78-4

-2j = 74

Divide by -2

-2j/-2 = 74/-2

j = -37

Answer:

Step-by-step explanation:

The divisors of a number are the numbers that divide it exactly.

60/2

2/30

3/3

5/5

one

divisors = 1,2,3,, 4,5,6,10,12,15,20,30,60.

answer:

1, 2, 3, 6, 10, 30, 60

Step-by-step explanation:

i am pretty sure!

Answer: its B 888 cm

Step-by-step explanation: hope this helps let me know if wrong ill fix it

Answer:

Mean increase or decrease (same quantity) according to the quantity of the increment or reduction

As all elements were equally affected the standard deviation will remain the same

Step-by-step explanation:

For the original set of salaries: ( In thousands of $ )

51, 53, 48, 62, 34, 34, 51, 53, 48, 30, 62, 51, 46

Mean = μ₀ = 47,92

Standard deviation  =  σ = 9,56

If we raise all salaries in the same amount  ( 5 000 $ ), the nw set becomes

56,58,53,67,39,39,56,58,53,35,67,56,51

Mean   =  μ₀´  = 52,92

Standard deviation  =  σ´ = 9,56

And if we reduce salaries in the same quantity ( 2000 $ ) the set is

49,51,46,60,32,32,49,51,46,28,60,49,44

Mean μ₀´´ = 45,92

Standard deviation  σ´´ = 9,56

What we observe

1.-The uniform increase of salaries, increase the mean in the same amount

2.-The uniform reduction of salaries, reduce the mean in the same quantity

3.-The standard deviation in all the sets remains the same.

We can describe the situation as a translation of the set along x-axis (salaries). If we normalized the three curves we will get a taller curve (in the first case) and a smaller one in the second, but the  data spread around the mean will be the same

Any uniform change in the data will directly affect the mean value

Uniform changes in values in data set will keep standard deviation constant

Answer:

QUESTION 2 -> Correct option: A.

QUESTION 3 -> Correct option: C.

Step-by-step explanation:

QUESTION 2

To find the amount of tax we just need to multiply the tax rate by the original price of the product:

[tex]Tax = 29\% * 53.93[/tex]

[tex]Tax = 0.29 * 53.93[/tex]

[tex]Tax =\$15.64[/tex]

Then, to find the total selling price, we need to sum the original price to the tax value:

[tex]Total = tax + price[/tex]

[tex]Total = 15.64 + 53.93[/tex]

[tex]Total = \$69.57[/tex]

Correct option: A.

QUESTION 3

To find the final value after 2 years, we can use the formula:

[tex]P = Po * (1 + r*t)[/tex]

Where P is the final value, Po is the inicial value, r is the interest and t is the amount of time. Then, we have that:

[tex]P = 10000 * (1 + 0.08 * 2)[/tex]

[tex]P = \$11600[/tex]

Correct option: C.

Answer:

x = 6 and y = 2

Step-by-step explanation:

2x + 3y = 18 .......... Eqn 1

3x - 3y = 12 ........... Eqn 2

Add both Equations to eliminate y

we have

2x + 3x + 3y - 3y = 18 + 12

5x = 30

Divide both sides by 5

5x / 5 = 30/5

x = 6

Substitute x = 6 into any of the Equations

Using equation 1

we have

2(6) + 3y = 18

3y = 18 - 12

3y = 6

Divide both sides by 3

That's

3y/3 = 6/3

y = 2

Therefore x = 6 and y = 2

Hope this helps

Answer:

it takes

[tex]\boxed {\red {2 \: \: months}}[/tex]

for 10 builders

Step-by-step explanation:

[tex]4 \: \: \: builders = 5 \: month \\ 10 \: builders = x[/tex]

Let us solve

[tex]4 = 5 \\ 10 = x[/tex]

so

[tex]4 = x \\ 10 = 5[/tex]

use cross multiplication

[tex]5 \times 4 = 10 \times x \\ 20 = 10x \\ \frac{20}{10} = \frac{10x}{10} \\ \green {x = 2}[/tex]

Answer:

[tex]\boxed{2months}[/tex]

Step-by-step explanation:

B1 = 4

M1 = 5

B2 = 10

M2 = x (we have to find this)

Since it is an inverse proportion (more builders will take less time and vive versa), we'll write it in the order of

=> B1 : B2 = M2 : M1

=> 4:10 = x : 5

Product of Means = Product of Extremes

=> 10*x = 4*5

=> 10x = 20

Dividing both sides by 10

=> x = 2 months

So, it will take 2 months to build classrooms by 10 builders.

Answer:

(6,2)

Step-by-step explanation:

1) convert both equations  to slope intercept form:

y=-x+8

and

y=x-4

now graph both equations separately by intercepts:

x int:  0=-x+8

-8=-x

8=x

y int:  y=0+8

y=8

so the two coordinate points for first equation are (0,8) and (8,0)

lets move on two second equation: y=x-4

x int:  0=x-4

4=x

y int y=0-4

y=-4

so the 2 coordinate points are (4,0) and (0,4)

lets graph these two equations and see where they intersect:

(see graph below), the intersection is at (6,2) so (6,2) is our answer

hope this helps

Answer:

16 square meters is equivalent to 19.14 square yards

Hope this helps you

Answer:

t = 5.6 day

t =5 days 14 hours 24 minutes

Step-by-step explanation:

Half life is the time it will take for the original value or quantity I'd a particular substance to decrease by half of it's original self.

N = N•e(-kt)

N• = 25

K = 0.1229

Then

N = 25/2 = 12.5

The reason because at the half life , it's original value will decrease to half.

Let's solve for the half life t

N = N•e(-kt)

12.5 = 25e(-0.1229t)

12.5/25 = e(-0.1229t)

0.5 = e(-0.1229t)

In 0.5 =-0.1229t

-0.69314 = -0.1229t

-0.69314/-0.1229 = t

5.6399 = t

To the nearest tenth

5.6 days = t

Answer:

[tex]\boxed{y = 2x+4}[/tex]

Step-by-step explanation:

Gradient = m = 2

Y-intercept = b = 4 (Because here x = 0 as in the point (0,4))

So, the equation becomes

=> [tex]y = mx+b[/tex]

=> [tex]y = 2x+4[/tex]

Answer:

1.875

Step-by-step explanation:

To find the expected winnings, we need to find the probability of all cases possible, multiply each case by the value of the case, and sum all these products.

In the die, we have 6 possible values, each one with a probability of 1/6, and the value of each output is half the value in the die, so we have:

[tex]E_1 = \frac{1}{6}\frac{1}{2} + \frac{1}{6}\frac{2}{2} +\frac{1}{6}\frac{3}{2} +\frac{1}{6}\frac{4}{2} +\frac{1}{6}\frac{5}{2} +\frac{1}{6}\frac{6}{2}[/tex]

[tex]E_1 = \frac{1}{12}(1+2+3+4+5+6)[/tex]

[tex]E_1 = \frac{21}{12} = \frac{7}{4}[/tex]

Now, analyzing the coin, we have heads or tails, each one with 1/2 probability. The value of the heads is 2 wins, and the value of the tails is the expected value of the die we calculated above, so we have:

[tex]E_2 = \frac{1}{2}2 + \frac{1}{2}E_1[/tex]

[tex]E_2 = 1 + \frac{1}{2}\frac{7}{4}[/tex]

[tex]E_2 = 1 + \frac{7}{8}[/tex]

[tex]E_2 = \frac{15}{8} = 1.875[/tex]

Step-by-step explanation:

If they have the same shape, the red graph is a translation of the blue, which is given to be y=x^2.

Since the red graph stays on the y axis at two units above the blue (y=x^2) curve, therefore the red curve is given by y=x^2+2.

The equation of the red graph is f(x) = x² + 2.

Option B is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The graphs of f(x) = x² and f(x) = x² + 2 are both quadratic functions, which means they have a parabolic shape.

The graph of f(x) = x^2 is an upward-opening parabola with its vertex at the origin (0,0).

The parabola is symmetric about the y-axis and the x-axis.

The graph of f(x) = x² + 2 is also an upward-opening parabola, but it has been shifted upward by 2 units compared to the graph of f(x) = x².

This means that the vertex of the parabola has been shifted from (0,0) to (0,2).

Thus,

The equation of the red graph is f(x) = x² + 2.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ7

Answer:

  2.908 s

Step-by-step explanation:

The "work" is most easily done by a graphing calculator. We only need to tell it the equation of motion.

For speeds in feet per second, the appropriate equation for vertical ballistic motion is ...

  h(t) = -16t² +v₀t +s₀

where v₀ is the initial vertical velocity in ft/s and s₀ is the initial height in feet. The vertical velocity is the vertical component of the initial velocity vector, so is (65 ft/s)(sin(44°)). We want to find t for h=0.

  0 = -16t² +65sin(44°) +4

Dividing by -16 gives ...

  0 = t^2 -2.82205t -0.2500

Using the quadratic formula, we find ...

  t ≈ (2.82205 ±√(2.82205² -4(1)(-0.25))/2 ≈ 1.41103 +√2.24099

  t ≈ 2.90802

It will take about 2.908 seconds for the discus to reach the ground.

_____

Comment on the question

You're apparently supposed to use the equation for ballistic motion even though we know a discus has a shape that allows it to "fly". It doesn't drop like a rock would.

Answer:

  b = 64/a³

Step-by-step explanation:

Using the given information, we can only find a relation between a and b. We cannot find any specific value for b.

Since a varies inversely as the cube root of b, we have ...

  a = k/∛b

Multiplying by ∛b lets us find the value of k:

  k = a·∛b = 1·∛64 = 4

Taking the cube of this equation gives ...

  64 = a³b

  b = 64/a³ . . . . . divide by a³

The value of b is ...

  b = 64/a³

Answer:

A. y=-2x-4

Step-by-step explanation:

The slope is negative when the line is going down from up.

Options B and D are wrong.

The y-intercept is (0, -4) as shown in the graph.

Option C is wrong.

y = mx + b

y = -2x - 4

Answer:

-45 is the answer

Step-by-step explanation:

PLZZ MARK BRAINLIEST