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Raj determined that the equation 3 (x+3) = 8x - 5x +7 is equivalent to 9 = 7. This means that this equation has:

no solutions

One solution

Two solutions

Infinity many solutions

Answer:

[tex]4T1 - T3 - T2= 45[/tex]

[tex]4T2- T1 - T4 = 75[/tex]

[tex]4T3- T1 - T4 = 75[/tex]

[tex]4T4 - T2 - T3= 105[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cccc}{ } & {30} & {30} & { } & {15} & {T1} &{T2} & {45} & {15} & {T3} & {T4} & {45} & {} & {60} & {60} & {} \ \end{array}[/tex]

Required

Set up 4 linear equations to solve for T1,T2,T3, andT4

From the question, we understand that each temperature is the average of the 4 surrounding temperatures.

So, we have:

For T1, the surrounding temperatures are: 30, 15, T3 and T2.

The average is:

[tex]T1 = \frac{1}{4}(30 + 15 + T3 + T2)[/tex]

[tex]T1 = \frac{1}{4}(45 + T3 + T2)[/tex]

Multiply through by 4

[tex]4T1 = 45 + T3 + T2[/tex]

Equate variables to constant

[tex]4T1 - T3 - T2= 45[/tex]

For T2, the surrounding temperatures are: T1, T4, 45 and 30.

The average is:

[tex]T2 = \frac{1}{4}(T1 + T4 + 45 + 30)[/tex]

[tex]T2 = \frac{1}{4}(T1 + T4 + 75)[/tex]

Multiply through by 4

[tex]4T2 = T1 + T4 + 75[/tex]

Equate variables to constant

[tex]4T2- T1 - T4 = 75[/tex]

For T3, the surrounding temperatures are: 60, 15, T1 and T4

The average is:

[tex]T3 = \frac{1}{4}(60 + 15 + T1 + T4)[/tex]

[tex]T3 = \frac{1}{4}(75 + T1 + T4)[/tex]

Multiply through by 4

[tex]4T3 = 75 + T1 + T4[/tex]

Equate variables to constant

[tex]4T3- T1 - T4 = 75[/tex]

For T4, the surrounding temperatures are: 60, 45, T2 and T3

The average is:

[tex]T4 = \frac{1}{4}(60 + 45 + T2 + T3)[/tex]

[tex]T4 = \frac{1}{4}(105 + T2 + T3)[/tex]

Multiply through by 4

[tex]4T4 = 105 + T2 + T3[/tex]

Equate variables to constant

[tex]4T4 - T2 - T3= 105[/tex]

So, the equations are:

[tex]4T1 - T3 - T2= 45[/tex]

[tex]4T2- T1 - T4 = 75[/tex]

[tex]4T3- T1 - T4 = 75[/tex]

[tex]4T4 - T2 - T3= 105[/tex]

Answer:

C. Get it by itself

Step-by-step explanation:

When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.

Answer:

14m^3

Step-by-step explanation:

Volume of the prism = base area * height

Given

Area of the cross section = 2m^2

Length = 7m

Substitute

Volume of the prism = 2 * 7

Volume of the prism = 14m^3

Hence the volume of the prism is 14m^3

Answer:

They made 2 batches

Step-by-step explanation:

If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches

well just look at the tens digit and see if it is bigger or smaller than 5, in this case 8>5

so the answer is 6,615,000, it is 000 because 9+1 became a 10

Answer:

18

Step-by-step explanation:

=(

48

1

)(

3

8

)

=

(48)(3)

(1)(8)

=

144

8

=18

Answer:

6

Step-by-step explanation:

Substitute y for 9: 7x - 36 = 6

Add 36 to both sides: 7x = 42

Divide both sides by 7: x = 6

It's 6, do you need something more simplified?

Answer:

y=-4x+3

Step-by-step explanation:

it does not show the equations that are following

but the main thing you need to know is that when two lines are parallel they have the same slope

and do you mean 2x+8y=18 not x?

edit:

answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9

2y+8x=18

first change that equation to slope intercept form to find the slope

2y = -8x+18 -> y = -4x+9

slope is -4

so the answer is y=-4x+3 because it also has a slope of -4

It's 8x + 16y/2 + 4x - 4y :))

Answer:

8x+4y

Step-by-step explanation:

Distribute:

=4x+8y+(4)(x)+(4)(−y)

=4x+8y+4x+−4y

Combine Like Terms:

=4x+8y+4x+−4y

=(4x+4x)+(8y+−4y)

=8x+4y

Answer:

=8x+4y

I hope I helped!!

Answer:

56 dived by 4. answer would be 14. so she would need to run two weeks

Step-by-step explanation:

Answer:

14  need to run two weeks

Step-by-step explanation:

Answer:

function one

Step-by-step explanation:

the x intercept in function one is a negative number

Answer: function one

Step-by-step explanation:

Answer:

well it is a right trianlg that means that the first side is 90 degrees

and the other two sides are 45 because they look the same angles so 180 minus 90 = 90 divide that by 2 to get 45

Step-by-step explanation:

Step-by-step explanation:

[tex]305x + 30 - 80 \\ 305x - 50 \\ 305x = 50 \\ x = \frac{305}{50} \\ x = \frac{61}{10} [/tex]

Answer:

x

Step-by-step explanation:

Answer: 181.46 cm.

Step-by-step explanation: The real answer is 181.462086 cm but we can round that to 2 decimal places.

Answer:

375 m

Step-by-step explanation:

[tex] \frac{3}{4} \times 1000 = 750[/tex]

From halfway

[tex] \frac{750}{2} = 375[/tex]

Follow me and text me if you need anything in math.

Answer:

y = -6, x =2

Step-by-step explanation:

To solve by elimination, you have to line both equations up together. Then, you multiply both equations until one variable is removed.

2x+y = -2

5x + 3y = - 8

There are many different ways to solve an elimination problem, but generally you should look for the simplest route. Here, I would multiply the top equation by -3.

-6x -3y = 6

5x +3y = -8

Imagine you are adding the two equations together. You end up with

-x = -2

Then solve for x. In this situation, it is fairly simple. Take out a factor of -1.

x = 2

Finally, choose one of your beginning equations and plug your new-found x value back into the equation.

2(2) +y = -2

4 + y = -2

y = -6

Answer:

The value of test statistic

   |Z| = |-2.2883| = 2.2883

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 57.7miles/gallon

The standard deviation of the Population = 1.9

The mean of sample x⁻ = 57.4

Given that the sample size 'n' =210

level of significance = 0.1

Step(ii):-

Test statistic

        [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

       [tex]Z = \frac{57.4-57.7}{\frac{1.9}{\sqrt{210} } }[/tex]

      Z = -2.2883

  |Z| = |-2.2883| = 2.2883

Final answer:-

The value of test statistic

   |Z|  = 2.2883

radius of ½ circle = d : 2

= 6in : 2 = 3in

Total area = Rectangle area + ½Circle area + Triangle area

= (l×w) + ½(π×r²) + (½×b×h)

= (10×6) + ½(π×3²) + (½ × (14-10) × 6)

= 60 + 14.14 + 12 = 86.14in

See the bold one in line 2 of total area, thats the formula of all shape.

Answer:

the orange juice has more ounces than the pineepple juice

Step-by-step explanation:

Answer:

56 and 1/4 square yds

Step-by-step explanation:

The answer is,

[tex]y = 1.6[/tex]

Answer:

Y = 1.6

Step-by-step explanation:

Y = 2 - 0.4

Y = 1.6

Answer:

Step-by-step explanation:

you can use desmos to see the graph

but 4 is the y intercept, so that means you can start from the point (0, 4). then, to draw the rest of the line,  you would go up 3 and right 1 because the slope is 3 or 3/1

Answer:

y = -x

Step-by-step explanation:

Let the equation representing the table attached is,

y = mx + b

Here, m = Slope of the line

b = y-intercept

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table attached,

Slope of the line passing through (23, -23) and (33, -33),

m = [tex]\frac{-33+23}{33-23}[/tex]

m = -1

Equation of the line will be,

y = -x + b

Since, this line passes through another point (43, -43),

-43 = -43 + b

b = 0

Therefore, equation of the line representing the table will be,

y = -x  

Answer:

A

Step-by-step explanation:

The colour keeps switching from red to blue to red, and red was last in the series. Therefore, a blue pattern should be next in the series.

Each time, a new hand is added to the pattern. Therefore, we add a hand.

Replace x with 1 nd solve, then replace x with 3 and solve:

x^3 - 2x^2 +3x

When x = 1:  1^3 -2(1)^2 +3(1) = 3 -3 +3 = 3

When x = 3: 3^3 -2(3)^2 + 3(3) = 27 -18 +9 = 18

The difference between the two solutions is 18-3 = 15

The difference between the two x values = 3-1 = 2

The rate of change is 15/2  or 7.5 as a decimal.