Which equation is represented by the graph shown in the image? A. y + 2= x B. y + 1= x C. y - 1= x D. y - 2= x Please show ALL work! <3

Answer:

Explained below.

Step-by-step explanation:

In this case we need to test whether the extra carbonation of cola results in a higher average compression strength.

(a)

The hypothesis for the test can be defined as follows:

H₀: The extra carbonation of cola does not results in a higher average compression strength, i.e. μ₁ - μ₂ = 0.

Hₐ: The extra carbonation of cola results in a higher average compression strength, i.e. μ₁ - μ₂ < 0.

(c)

Since the population standard deviations are not provided, we would use the t-test for difference between means.

The test statistic is:

[tex]t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}}[/tex]

  [tex]=\frac{537-559}{\sqrt{\frac{22^{2}}{10}+\frac{17^{2}}{10}}}\\\\=\frac{-22}{8.792}\\\\=-2.502[/tex]

The test statistic value is -2.502.

(c)

Compute the p-value as follows:

[tex]p-value=P(t_{16}<-2.052)=0.012[/tex]

*Use a t-table.

The p-value of the test is 0.012.

(d)

The significance level of the test is, c

p-value = 0.012 < α = 0.05.

The null hypothesis will be rejected.

Conclusion:

The data suggest that the extra carbonation of cola results in a higher average compression strength.

(e)

The assumption necessary for the analysis is:

The distributions of compression strengths are approximately normal.

The correct option is (A).

Answer:

0

Step-by-step explanation:

Hello, dividing by 0 is not defined. so

[tex]\dfrac{2x^2}{6x}[/tex]

is defined for x different from 0

This being said, we can simplify by 2x

[tex]\dfrac{2x^2}{6x}=\dfrac{2x*x}{3*2x}=\dfrac{1}{3}x[/tex]

and this last expression is defined for any real number x.

Thank you

Answer:

NOT SURE

Step-by-step explanation:

Answer:

1548.3 [tex]m^{2}[/tex]

Step-by-step explanation:

Answer:

A = 1548.3 m²

Step-by-step explanation:

Answer:

f(x) = -0.5x

Step-by-step explanation:

.25*8 = 2 which is really a slope of 2/1

place a negative in front flips it over the y axis and flipping the slope flips it over the x axis.

y represents the range for an ordered pair (x, y). Option A is correct.

For an ordered pair (x, y), What y represents is to determine.

Range of the function is the output value of the function.

Here, in ordered pair (x, y) x represents the values of independent variable terms as domain. And for every value of x their is exist or output values y this  set of y values is called as range.

Thus, y represents the range for an ordered pair (x, y).

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Answer:

a. 2

b. x²+10x+26

c. x²+2x+2

Step-by-step explanation:

To find each value, you plug in the x value into the function and solve.

a. 2

f(2)=(2)²-2(2)+2                              [combine like terms]

f(2)=4-4+2

f(2)=2

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

b. x²+10x+26

f(x+6)=(x+6)²-2(x+6)+2                  [use FOIL method and distributive property]

f(x+6)=x²+12x+36-2x-12+2            [combine like terms]

f(x+6)=x²+10x+26

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

c. x²+2x+2

f(-x)=(-x)²-2(-x)+2                            [combine like terms]

f(-x)=x²+2x+2

Answer:[tex]z=a+bi=|z|(cos(θ)+isin(θ))tofindthtrigonometricform.√sin2(ga8A)+cos16(A)(cos(arctan(−1sin(ga8A)cos8(A)))+isin(arctan(−1sin(ga8A)cos8(A))))[/tex]

Step-by-step explanation:

Answer:

-5/4x -15/4 = y

Step-by-step explanation:

y = -3 - 4/5x

To find the inverse, exchange x and y

x = -3 - 4/5 y

Solve for y

Add 3 to each side

x+3 = -4/5y

Multiply each side by -5/4

-5/4(x+3) = -5/4 * -4/5(y)

-5/4x -15/4 = y

Answer:

The answer is C. SSA ≅ SSA.

Step-by-step explanation:

To check for similar triangles, SSA congruence would not work because the other side can be any length. Also, there is not an SSA postulate because this theorem by itself cannot prove congruence.

The other three properties do work because they show congruence unlike the other congruent factors.

3/2

Step One: 1 3/8, transform the number into a improper fraction:

Answer:

207m

Step-by-step explanation:

(17+5)*6=132

(15*5)=75

132+75=207

Answer:

  isosceles

Step-by-step explanation:

The point B is located on the perpendicular bisector of AC. No calculation is necessary. AC has a slope of 1, so it is easy to count grid squares to see where the perpendicular bisector goes.

When the altitude of the triangle bisects the side opposite the vertex, it is an isosceles triangle.

_____

Apparently, you're to use the distance formula to determine the lengths of the sides of the triangle. Doing that, you would find ...

  AB² = (6-4)² +(1 -6)² = 4 + 25

  CB² = (6-1)² +(1-3)² = 25 + 4

At this point, it doesn't require much thought to realize these sides are the same length: √29.

Answer:

6

Step-by-step explanation:

The constant of variation is the slope

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

  = (30-18)/(5-3)

   =12/2

   = 6

The value of constant of variation, k, is,

⇒ k = 6

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Here, the constant of variation, k, of the line y = kx through (3,18) and (5,30)

Since, The constant of variation is the slope,

Hence, We get;

k = (y₂ - y₁)/(x₂ - x₁)

 = (30 - 18)/(5 - 3)

  = 12/2

  = 6

Thus, the value of constant of variation, k, is,

⇒ k = 6

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Answer:

1. 5/4

2. 7

Step-by-step explanation:

1) Lets call the width as w

Therefore length would be:

w+4

To find the perimeter you use the formula:

2 (l+w)

Now substitute our values into this formula:

2 (w+4+w)

2( 2w+4)

4w+8

Now make this equal to 13:

4w +8 = 13

4w = 5

w = 5/4

2. In this question we will call length l

Therefore width would be:

l-5

Now we will do the steps we did above:

2 (l+l-5)

2 (2l-5)

4l -10

4l - 10 = 18

4l = 28

l = 7

Answer:

∠1 = 116 °  ,  ∠2 = 32°  , ∠3 = 116 ° and ∠4 = 32°

Step-by-step explanation:

∠2 = 32°  (The diagonals of a rhombus bisect pairs of opposite angles)

Opposite sides of a rhombus are parallel ,so

∠2 = ∠4   (Alternate interior angles )

∠4 = 32°

32° + ∠4 + ∠3 = 180° (angle sum property of a triangle)

64° + ∠3 = 180°

∠3 = 180 - 64

∠3 = 116°

∠3 =∠1    (in a rhombus opposite angles are equal )

∠1 = 116°

Here are all of the answers to these four questions:

1. log2^64=6, or 2 to the power of 6=64.

2. log11^121=2, or 11²=121.

3. log8^512=3, or 8³=512.

4. log4^1/16=-2, or 4 to the negative second (-2) power.

I hope that this answered your question.

Yeah, so the answer is 6, 2, 3, and -2.

Answer:

58

Step-by-step explanation:

By the property of intersecting secants outside of a circle, we have:

x° = 1/2( 141° - 25°) = 1/2 * 116° = 58°

Therefore, x = 58

Answer:

around 16 minutes. you partition an hour and a half (all out) by what number of sections he read (5.5

Step-by-step explanation:

Answer:

1 to 2.5

Step-by-step explanation:

A negative rate of change requires the instantaneous slope to be negative, and the interval from 1 to 2.5 is the only place segment where that can happen.

Answer:

fucuvucybycych tcy bic ttx TV ubtx4 cub yceec inivtxr xxv kb

Step-by-step explanation:

t tcextvtcbu6gt CNN tx r.c tct yvrr TV unu9gvt e tch r,e xxv t u.un4crcuv3cinycycr xxv yctzrctvtcrzecycyvubr xiu nyfex tut uhyh

Answer:

Step-by-step explanation:

Given the inequality [tex]|z+4|>15[/tex], we are to find the solution set of the inequality. Since the the function is an absolute value, this means that the function will be positive and negative.

For the positive value of the function;

[tex]z+4>15\\\\subtract\ 4\ from \ both \ sides\\z+4-4 > 15 -4\\\\z>11[/tex]

For the negative value of the function we have;

[tex]-(z+4) > 15\\\\-z-4> 15\\add\ 4 \ to\ both \ sides\\\\-z-4+4> 15+4\\\\-z> 19\\\\[/tex]

Multiplying both sides of the inequality by -1 will change the sense of the inequality sign;'

[tex]-(-z)< -19\\\\z<-19[/tex]

Hence the solution sets are [tex]z> 11 \ and \ z< -19 \\[/tex] OR z less-than negative 19 or z greater-than 11

Answer:

z less-than negative 19 or z greater-than 11

Step-by-step explanation:

Answer:

4(x+4) =2x-18

4x+16=2x‐18

4x–2x= –18 –16

2x= – 34

x= –34/2

x= – 17

I hope I helped you^_^

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

340 feet

Step-by-step explanation:

we use Pythagora

d² = l² + w²

d = √300ft)² + 160ft)²

= √90000ft² + 25600ft²

= √115600ft²

= √(2⁴ₓ5²ₓ17²)ft²

= √(2²ₓ5ₓ17)ftₓ(2²ₓ5ₓ17)ft

= √340ftₓ340ft

= 340 feet

Answer:

  C. G(x) = x - 9

Step-by-step explanation:

You know that the transformation ...

  g(x) = f(x -h) +k

causes parent function f(x) to be shifted right h units and up k units.

You're looking for a function that is shifted right, so you want something that looks like ...

  g(x) = f(x -constant) = x - constant

Choice C has that form:

  C. G(x) = x - 9

_____

A. the function is shifted up 2 units

B. the function is vertically expanded by a factor of 4 (no shift)

C. shifted right

D. the function is reflected over the y-axis (no shift)

Answer: C [G(x) = x-9]

Step-by-step explanation:

I got it right

Answer:   maximum "safe"  Force = 415.58 N

Step-by-step explanation:

Length = 1.2 m

lower bound is 1.15 (because it rounds up to 1.2)

upper bound is 1.24 (because it rounds down to 1.2)

Note: 1.25 would round up to 1.3

width = 2.5 m

lower bound is 2.45 (because it rounds up to 2.5)

upper bound is 2.54 (because it rounds down to 2.5)

Note: 2.55 would round up to 2.6

Pressure = 150 N/m²

lower bound is 147.5 (because it rounds up to 150)

upper bound is 152.4 (because it rounds down to 150)

Note: 152.5 would round up to 155

Max "safe" Force means minimum Area and minimum Pressure (lower bounds)

Force = Area x Pressure

           = length x width x Pressure

           = 1.15 x 2.45 x 147.5

           = 415.58

Answer:

Step-by-step explanation:

3*(2k + 3) - 8k + 5 + 5           Remove the brackets on the left

6k + 9 - 8k + 5 + 5                Combine like terms

6k-8k+9 + 5 + 5

-2k + 19

Let side be a

We know

[tex]\\ \sf\longmapsto Area=(side)^2[/tex]

[tex]\\ \sf\longmapsto a^2=111[/tex]

[tex]\\ \sf\longmapsto a=\sqrt{111}[/tex]

[tex]\\ \sf\longmapsto a=10.3units[/tex]

Explanation:

Stella can move 1 box for every 4 boxes Michael moves.

She moves 10 boxes, so that must mean Michael moved 40 boxes (since 4*10 = 40).

Put another way, the ratio 1:4 bumps up to the equivalent form 10:40 after multiplying both parts by 10. The first value of each ratio is the amount of boxes Stella moves, and the second part is what Michael moves.

You could also solve it like this

1/4 = 10/x

1*x = 4*10

x = 40

In the second step, I used cross multiplication.