1/3 x (21.69 – 24.99)

Answer:

7 unit

Step-by-step explanation:

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Step-by-step explanation:

When the inequality uses < or >, it is a broken line.

For the point (0, 0) it means that x = 0 and y = 0.

Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.

Yes, the point (0,0) is part of the solution of y < - x² + 4x + 5.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To determine the border line of the graph of y < - x² + 4x + 5

A broken line results from the inequality using < or >.

x and y are both equal to zero at the coordinates (0, 0).

Substitute the values of x = 0 nad y = 0 in the inequality  y < - x² + 4x + 5

So, (0) < (0)² + 4(0) + 5

Since (0) < (0)² + 4(0) + 5 is valid,

Thus, the coordinates (0, 0) are part of the solution.

Learn more about inequalities here:

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Answer:

my names emily too!!!!

Step-by-step explanation:

Answer:

y=3x+2

Step-by-step explanation:

First find the slope or m in the line of equation y=mx+b

to find slope you need two points, plug in to y2-y1 / x2-x1

so lets use points (0,2) (1,5)

5-2 / 1-0 = 3

m=3

we have y=3x + b

now we find b by pugging in a point, let's use (0,2)

2 = 3(0) + b

b= 2

y=3x+2

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Answer:

.29

Step-by-step explanation: Subtract first by last

Answer:

0.29m longer

Step-by-step explanation:

Longest jump = 4.27m

Shortest jump = 3.98m

4.27 - 3.98 = 0.29m

Answer:

The answer is Seven plus Four A.

Answer: 19

Step-by-step explanation:

Answer:

x= 1.2

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

Step 2: Add 7 to both sides.

Step 3: Divide both sides by 5.

Hope this helped :)

Answer:

7x+=2x-1

7x+2x=7+1

9x=8

x=9-8

x=1

Answer:

1 ,3,4

Step-by-step explanation:

Answer:

1, 4 and 5

Step-by-step explanation:

sorry if im wrong

Answer: c

Step-by-step explanation:

Answer:

B you add 4. a negative plus a positive is a negative. -15 +4 is -11

Answer:

B

seems to be the most precise. I don't know what it means by precise but B is the lucky guess

Answer:

b=-0.0019a + 215

at 2500 ft, b=210.25 degrees F

Step-by-step explanation:

First find the slope. a=altitude, b = temperature

slope is b2-b1 / a2-a1

points are (8200, 199.42) and (4700, 206.07)

(206.07 - 199.42) / (4700-8200)

= 6.65/ -3500

= - 0.0019

we have b = -0.0019a + intercept

plug in a point to find intercept

199.42 = -0.0019*8200 + intercept

intercept = 199.42 + 15.58 = 215

b=-0.0019a + 215

at a=2500 ft, substitute into equation

b= -0.0019*2500 + 215

= -4.75 + 215

= 210.25 degrees F

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Yes, always.

A sequence is a function that takens a positive integer and maps it some other number. For any integer you plug into the sequence, you only ever get one output.

Answer:

750 miles

Step-by-step explanation:

Step one:

Given data

we are told that the hummer gets to 300miles on 20 gallons of gas

Required

The distance that the Hummer can go on 50 gallons of gas

Step two:

if 20 gallons gets to 300miles

the 50 gallons will get to x miles

cross multiply we have

[tex]x= 50*300/20\\\\x=15000/20\\\\x=750 miles[/tex]

Step-by-step explanation:

The given function is :

[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)

It is an equation of parabola. The vertex form for equation of parabola is given by :

[tex]y=a(x-h)^2+k[/tex] ...(2)

Here,

Vertex = (h,k), axis = h and rate = a

From equation (1) and (2) :

a = -1/8, h = 1 and k = -4

The atached graph shows the graph for the given equation.

Answer:

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

Step-by-step explanation:

Step(i):-

Given first sample size (n₁ ) = 57

Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period

First sample proportion

                                   [tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{18}{57} =0.3157[/tex]

Second sample proportion

                               [tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{11}{54} =0.2037[/tex]

Null Hypothesis : p₁⁻ = p₂⁻

Alternative Hypothesis :  p₁⁻ ≠ p₂⁻

Step(ii):-

Test statistic

         [tex]Z = \frac{p_{1} ^{-} -p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]

        where

                   [tex]P = \frac{n_{1}p^{-} _{1} +n_{2} p^{-} _{2} }{n_{1} +n_{2} }[/tex]

              [tex]P = \frac{57 X0.3157+0.2037X54}{54+57} = 0.2612[/tex]

             Q = 1 - P = 1 - 0.2612 = 0.7387

             [tex]Z = \frac{0.3157-0.2037}{\sqrt{0.2612 X0.7387 (\frac{1}{57} +\frac{1}{54} )} }[/tex]

           Z  =    1.4017

Level of significance ∝ =0.05

The tabulated value Z₀.₀₅ = 1.96

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

Answer:

y = 1/3 x 2 +4 x + 15

Step-by-step explanation:

y = a (x - h)2 + k

where (h,k) are the coordinates of the vertex and a is a multiplier

here (h,k) = ( - 6, 3)

y = a ( x + 6)2 + 3

to find a substitute (12,9) into the equation

9 = 18 a + 3

18 a = 9 - 3 = 6 a = 6/18 = 1/3

y = 1/3 (x + 6)2 + 3

distributing gives

y = 1/3 (x2 + 12x + 36) + 3

y = 1/3x2 + 4x + 15

Answer:

$(39.24x)

Step-by-step explanation:

We need to find out their difference for one mile before calculating their difference for x miles.

Difference per mile = ($70.50 + $0.14) - ($30.50 + $0.90)

                                = $70.64 - $31.40

                                = $39.24

Difference for x miles = $39.24 × x miles

                                    = $(39.24x)

Answer:

4.778 ounces

Step-by-step explanation:

Given that:

Ounces of orange juice in mixed fruit juice = 1.872

Ounces of mixed fruit juice = 6.65 ounces

Ounces of Mixed fruit juice that is not orange juice :

(Ounces of mixed fruit juice - Ounces of orange juice)

(6.65 - 1.872) ounces

= 4.778 ounces

Answer:

4

Step-by-step explanation:

2 goes to both A and B which makes it not a function because if I remember right the domain isnt allowed to repeat.

Answer:

d=-40t+2100

Step-by-step explanation:

Let d be the distance between New York to Los Angeles and speed of driving is v miles/hour.

As when they have driven for 10 hours, they are 1700 miles away from Los Angeles, so the distance covered in 10 hours is d-1700 miles.

Similarly, the distance covered in 15 hours is d-1500 miles.

So, the distance covered in 5 hours = (d-1500)-(d-1700) =d-1500-d+1700=200 miles.

As speed = distance/time,

So the speed of driving, v=200/5=40 miles/hour

Let d (in miles) be the remaining distance at any time instant t (in hour) and the linear relation between d and t is

d=at+b ...(i)

where a and b are constants.

When they have driven for 10 hours, they are 1700 miles away from Los Angeles, so putting t=10 and d=1700 in the equation (i), we have

1700=10a+b

b=1700-10a...(ii)

Similarly, when they have driven for 15 hours, they are 1500 miles away from Los Angeles, so

1500=15a+b

1500=15a+1700-10a

1500-1700=5a

-200=5a

a= -200/5

a= -40

From equation (ii), we have

b=1700-10(-40)=1700+400=2100

From equation (i), the required equation is

d=-40t+2100

Hence the required linear function is d=-40t+2100.

Answer:

1( ×=2

2( x=5

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Answer:

k = am + 3mx

Group by taking common factor m

k = m(a + 3x)

Divide both sides by (a +3x)

k / (a+3x) = m

Then, m = k / (a+3x). This is the answer

Step-by-step explanation:

Answer:

60 cm 2

Step-by-step explanation:

Answer:

60 cubic cm

Step-by-step explanation:

i just multiplied 3 x 4 x 5 and that gave me 60 and cubic cm

hoped it helped :)