3³ - (60 - 10) + 8
​

Answer:

The equations have one solution at (5, -5).

Step-by-step explanation:

We are given a system of equations:

[tex]\displaystyle{\left \{ {{-2x+5y=-35} \atop {7x+2y=25}} \right.}[/tex]

This system of equations can be solved in three different ways:

Graphing the Equations

We need to solve each equation and place it in slope-intercept form first. Slope-intercept form is [tex]\text{y = mx + b}[/tex].

Equation 1 is [tex]-2x+5y = -35[/tex]. We need to isolate y.

[tex]\displaystyle{-2x + 5y = -35}\\\\5y = 2x - 35\\\\\frac{5y}{5} = \frac{2x - 35}{5}\\\\y = \frac{2}{5}x - 7[/tex]

Equation 1 is now [tex]y=\frac{2}{5}x-7[/tex].

Equation 2 also needs y to be isolated.

[tex]\displaystyle{7x+2y=25}\\\\2y=-7x+25\\\\\frac{2y}{2}=\frac{-7x+25}{2}\\\\y = -\frac{7}{2}x + \frac{25}{2}[/tex]

Equation 2 is now [tex]y=-\frac{7}{2}x+\frac{25}{2}[/tex].

Now, we can graph both of these using a data table and plotting points on the graph. If the two lines intersect at a point, this is a solution for the system of equations.

The table below has unsolved y-values - we need to insert the value of x and solve for y and input these values in the table.

[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & a \\ \cline{1-2} 1 & b \\ \cline{1-2} 2 & c \\ \cline{1-2} 3 & d \\ \cline{1-2} 4 & e \\ \cline{1-2} 5 & f \\ \cline{1-2} \end{array}[/tex]

[tex]\bullet \ \text{For x = 0,}[/tex]

[tex]\displaystyle{y = \frac{2}{5}(0) - 7}\\\\y = 0 - 7\\\\y = -7[/tex]

[tex]\bullet \ \text{For x = 1,}[/tex]

[tex]\displaystyle{y=\frac{2}{5}(1)-7}\\\\y=\frac{2}{5}-7\\\\y = -\frac{33}{5}[/tex]

[tex]\bullet \ \text{For x = 2,}[/tex]

[tex]\displaystyle{y=\frac{2}{5}(2)-7}\\\\y = \frac{4}{5}-7\\\\y = -\frac{31}{5}[/tex]

[tex]\bullet \ \text{For x = 3,}[/tex]

[tex]\displaystyle{y=\frac{2}{5}(3)-7}\\\\y= \frac{6}{5}-7\\\\y=-\frac{29}{5}[/tex]

[tex]\bullet \ \text{For x = 4,}[/tex]

[tex]\displaystyle{y=\frac{2}{5}(4)-7}\\\\y = \frac{8}{5}-7\\\\y=-\frac{27}{5}[/tex]

[tex]\bullet \ \text{For x = 5,}[/tex]

[tex]\displaystyle{y=\frac{2}{5}(5)-7}\\\\y=2-7\\\\y=-5[/tex]

Now, we can place these values in our table.

[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]

As we can see in our table, the rate of decrease is [tex]-\frac{2}{5}[/tex]. In case we need to determine more values, we can easily either replace x with a new value in the equation or just subtract [tex]-\frac{2}{5}[/tex] from the previous value.

For Equation 2, we need to use the same process. Equation 2 has been resolved to be [tex]y=-\frac{7}{2}x+\frac{25}{2}[/tex]. Therefore, we just use the same process as before to solve for the values.

[tex]\bullet \ \text{For x = 0,}[/tex]

[tex]\displaystyle{y=-\frac{7}{2}(0)+\frac{25}{2}}\\\\y = 0 + \frac{25}{2}\\\\y = \frac{25}{2}[/tex]

[tex]\bullet \ \text{For x = 1,}[/tex]

[tex]\displaystyle{y=-\frac{7}{2}(1)+\frac{25}{2}}\\\\y = -\frac{7}{2} + \frac{25}{2}\\\\y = 9[/tex]

[tex]\bullet \ \text{For x = 2,}[/tex]

[tex]\displaystyle{y=-\frac{7}{2}(2)+\frac{25}{2}}\\\\y = -7+\frac{25}{2}\\\\y = \frac{11}{2}[/tex]

[tex]\bullet \ \text{For x = 3,}[/tex]

[tex]\displaystyle{y=-\frac{7}{2}(3)+\frac{25}{2}}\\\\y = -\frac{21}{2}+\frac{25}{2}\\\\y = 2[/tex]

[tex]\bullet \ \text{For x = 4,}[/tex]

[tex]\displaystyle{y=-\frac{7}{2}(4)+\frac{25}{2}}\\\\y=-14+\frac{25}{2}\\\\y = -\frac{3}{2}[/tex]

[tex]\bullet \ \text{For x = 5,}[/tex]

[tex]\displaystyle{y=-\frac{7}{2}(5)+\frac{25}{2}}\\\\y = -\frac{35}{2}+\frac{25}{2}\\\\y = -5[/tex]

And now, we place these values into the table.

[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]

When we compare our two tables, we can see that we have one similarity - the points are the same at x = 5.

Equation 1                  Equation 2

[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]                 [tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]

Therefore, using this data, we have one solution at (5, -5).

Answer:

D (7 floors)

Step-by-step explanation:

You start off 4 floors below the start (-4) and you go up to floor 3. Therefore you go up 4 floors to floor 0 then 3 more to floor 3.   4+3=7

I hope this helps and good luck!

Answer:

D.) [tex]V:x=1;H:y=6[/tex]

Step-by-step explanation:

The vertical intersection of the point is found by the x value. Starting at the point, move down to find the value of x. The vertical line, value x, is 1.

The horizontal intersection of point B is found by the y value. Start at the given point and move to the left to find the y value. The horizontal line, y, is 6.

[tex](vertical,horizontal)\\\\(x,y)\\\\(1,6)[/tex]

:Done

Answer:

Not me

Step-by-step explanation:

Answer:

isn't it the same as American

Step-by-step explanation:

Answer -6/7

Step-by-step explanation:Factor then solve to find the complex solutions.

Answer:

-6/7

Step-by-step explanation:

12x+6=5x

12x-5x=-6

7x=-6

X=-6/7

So the answer is -6/7

Answer:

12.

Step-by-step explanation:

The geometric mean of two numbers a and b is sqrt(ab).

Hence, sqrt(8 * 18) = sqrt (144) = 12.

Hope this helped!

The geometric mean of 8 and 18 is 12 which is calculated as the square root of their product, which is 12.

Given two numbers are:

First number = 8

Second number = 18.

To find the geometric mean of two numbers, multiply the numbers together and then take the square root of their product.

Step 1: Find of the two numbers.

Product P: [tex]8 \times 18 = 144[/tex]

Step 2: Find the square root of the product.

Geometric mean = [tex]\sqrt{P}[/tex]

Plugging the value of P gives:

Geometric mean = [tex]\sqrt{144}[/tex]

Take the square root of 144, gives:

Geometric mean = 12.

Therefore, the geometric mean of 8 and 18 is 12.

The geometric mean is often used to find the average growth rate or to compare quantities that vary exponentially.

In summary, the geometric mean of 8 and 18 is calculated as the square root of their product, which is 12.

Learn more about the geometric mean here:

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Answer:

a

Step-by-step explanation:

sorry if wrong

Answer: A

Step-by-step explanation:

In math

Answer:

33562, You could have used a calculator, or used your head, why

Step-by-step explanation:

Answer:

6.33333 is the answer <3

Answer:

C

Step-by-step explanation:

Answer:

80,000

Step-by-step explanation:

You see all you have to do is find out what 200,000 divided by 10 is : 20,000 then multiply that by four leaving you with a answer of 80,000.

We will use Rotational transformation.

A congruence transformation is getting a congruence or similar image after we do any types of the known transformation.

According to the given question

We are given two shapes and we must show that they are congruent using transformations.

We can show the given two shapes are congruent by Reflections, Rotations and Translations.

Here in the given question it is being said that the orientation of these two shapes is the same so we should use rotational transformations.

In rotational transformation we can rotate a figure in clockwise or in anti-clock wise direction. Rotational transformation can be of any degree but in general we rotate it by 90°, 180°, 270° or by 360°.

In rotational transformation object's side length their adjacent angles remain same.

If by doing some degrees of rotational transformation and the figure looks exactly as before it has then it has rotational symmetry for that value of degrees.

Learn more about transformation here :

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Answer:

Its D

Step-by-step explanation:

Answer:

It would be 9 13/40

Step-by-step explanation:

Convert any mixed numbers to fractions.

Reduce fractions where possible.

Then your initial equation becomes:

6/5 + 65/8

Applying the fractions formula for addition,

=(6×8)+(65×5)5×8

=48+325/40

=373/40

Simplifying 373/40, the answer is =9 13/40

Answer:

(e) 20%

Step-by-step explanation:

20/25 = 80/100 = 80% of 25.

If 25/25 = 100%,

then 100% - 80% = 20%

So, the school fees decreased by 20%

Answer:

1 /25

Step-by-step explanation:

percent means  

out of 100

⇒

4

%

=

4

100

as a fraction

To simplify the fraction we require to find a  

common factor

to both 4 and 100 and reduce the fraction by dividing. The common factors are 2 and 4 . Choose the largest, that is 4

⇒

4

100

=

4

÷

4

100

÷

4

=

1

25

This calculation is usually set out using  

cancelling

4

100

=

4

1

100

25

=

1

25

←

in simplest form

A fraction is in  

simplest form

when no other factor but 1 will divide into the numerator/denominator.

Answer:

Step-by-step explanation:

Correlation occurs when we can observe a trend between the response/dependent variable (y) and the explanatory/independent variable (x).  

When comparing two sets of data, we may observe and use correlation to determine whether or not the data presented if significant or not and whether or not it supports our hypothesis. We may want to see if this is just a fluke and whether or not the trend causes causation.

An example of this would be if we thought that the weight of female mice determines how many kids they have in a month.. Let's say that mice that weigh up to one ounce have 6 baby mice per month.

Let's say that the x variable is the weight which is between 0.25 oz and 1.25 oz and the y-variable is the amount of kids between each month. If another laboratory conducts the same study with the same type of mice with the same weights as us, we would need to determine if there is correlation and if there is causation and try to use this information to determine if both sets of data are significant to our hypothesis.

Answer:

If there is a strong correlation between two variables, it's easy to jump to the conclusion that one causes y and causes X; or that a third factor, Z (or even a whole set of other factors)

Step-by-step explanation:

im confused but i tried

Answer:

(1-,3),(2,2),(3-,3),(2,1),

Answer:

x>7

Step-by-step explanation:

After subtracting 7 from each side, you must flips the less than sign to grater than. This would leave you with x>7.

Answer:

4 lollipops and 3 penicls in each bag, so 50 bags

Step-by-step explanation:

I've had to do this one before

Answer:

$15    

correct if wrong pls

Step-by-step explanation:

42+56+129= 227 total of deposits

17+32+18= 67 total of withdrawals

227-67= 160

160-145=15 answer

correct if wrong but i think thats the answer

Answer:

(165 + 52 i)

Step-by-step explanation:

We are given the expression:

√(13+2i)⁴

the square root can also be written as the power of 1/2

[tex](13 + 2i)^{4 * 1/2}[/tex]

(13 + 2i)²

(13)² + (2i)² + 2(13)(2i)                   [(a + b)² = a² + b² + 2ab]

169 + 4(i²) + 52i

169 - 4 + 52i                                [i² = -1]

(165 + 52 i)

Answer:

It means if you graph the function, the line is straight.

also s p a m

Answer:

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.

Step-by-step explanation:

plzz mark brianliest i needdddd

Answer:

35

Step-by-step explanation:

yeah becuse 35fttttt

Answer:

45 degrees

Step-by-step explanation:

All triangles have 180 degrees...

So, 85 + 50 = 135

180 - 135 = 45

Hence, the answer is 45 degrees

I hope this helped :)

Answer:

the answer is 81.402 in expanded form using the powers of ten = (8 x 10^1) + (1 x 10^0) + (4/10^1) + (0/10^2) + (2/10^3)

Step-by-step explanation:

Answer:

$90

Step-by-step explanation:

Answer:Therefore, f(−1)=6.

Step-by-step explanation:

So, if  f(x)=x+7 then f(−1)=(−1)+7

Therefore, f(−1)=6.

Answer:

primeroaend:epr )

Step-by-step explanation: