Solve the system of equations given below.
y - 15 = 3
-2.1 + 5y = -3

Answer:

7 unit

Step-by-step explanation:

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Answer: (x^2 -6x +10)(x - 2)

All the steps are shown in the picture below:

Answer:

P>1

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

P+17>18

Step 2: Subtract 17 from both sides.

P+17-17>18-17

P>1

Answer:

Did you want me to simplify the expression???

Step-by-step explanation:

3f+5b+3d+8

Answer:

12

Step-by-step explanation:

4-2x=-18

-4        -4

-2x=-24

-2      -2

x=12

60 x 5 + 45 = 345 Seconds

Answer:

A

Step-by-step explanation:

I checked on khan

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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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:

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 :)

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:

All are corrects.

Step By Step Explanation:

It's all the same thing.

Answer: 19

Step-by-step explanation:

Answer:

B

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

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:

-5

Step-by-step explanation:

The equation given is written in slope-intercept form (y = mx + b). In this form, 'm' represents the slope of a line and 'b' represents the y-intercept of the line. Since the equation asks for the slope, we can simply look at the value of 'm' in the equation. Then, we will find the slope.

slope - intercept form

y = mx + b

given equation

-y = -5x + 9

values

m = slope = -5

b = y-intercept = 9

Answer: b

Step-by-step explanation:

The correct answer is:

C) $4269.90.

Explanation:

40 hours per week at 18.32:

40*18.32 = 732.80.

Over time is time and a half; this means:

18.32*1.5=27.48 per hour overtime.

5 hours of overtime per week would be:

27.48*5=137.40.

Together this makes:

732.80+137.40=870.20 per week.

There are 4 weeks in a month;

4*870.20=3480.80.

You make 10% commission on the sales; 10% = 0.1.

0.1*7891=789.10.

Add this to the monthly income:

3480.80+789.10=4269.90.

Answer:

[2,6]

Step-by-step explanation:

3x+5y=36

5x-4=y

3x+5(5x-4)=36

3x+25x-20=36

28x-20=36

28x=56

x=2

5x-4=y

5*2-4=y

10-4=y

6=y

Answer:

answer is 3 upon 4

Step-by-step explanation:

because if we reduce 18/24 to its lowest term so first we have to reduce 18 to and then 24 --- 18 is factor of 9x2 and 24 is factor of 12x2 then we have to cut 2 in both and there is answer 9 upon 12 still it is reducing so 3x3 is 9 and 3x4 is 12 so now we have to cut 3 in both the answer is 3 upon 4

Answer:

B 10x+5

Step-by-step explanation:

:)

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:

0, 1/13, 49/100, 1/2, 11/20, 8/9, 1

Step-by-step explanation:

You know the smallest is 0, largest is 1

the middle is 1/2

49/100 is slightly smaller than 1/2 or 50/100

11/20 is slightly larger than 1/2 or 10/20

1/13 is slightly larger than 0

8/9 is slightly smaller than 1

please give thanks :)

and brainliest :)

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:

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]

Answer: 1 cup of macaroni for 3 cups of water

Step-by-step explanation:

9/27 divided 3=1 cup/3 cup

Answer:

1 pencil will be for 1.75 $

Answer:

$1.75 for each pencil.

Step-by-step explanation:

if you're asking the price for each pencil then its 1,75 for each because 8 multiplied by 1.75 is 14 :))

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