Help? If you can.

Questions 5-9 ONLY

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:

a

Step-by-step explanation:

sorry if wrong

Answer:

8.9

Step-by-step explanation:

Answer:

8.9

Step-by-step explanation:

8 9/10=8+9/10

=8/1+9/10

=(8/1×10/10)+9/10

=80/10+9/10=8 9/10

We know that

89/10

is the same as

89÷10

Then using

Long Division for 89 divided by 10

gives us

=8.9

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:

The first angle is 68.

Step-by-step explanation:

[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]

So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]

Answer:

C

Step-by-step explanation:

Answer:

6.33333 is the answer <3

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:

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

Step-by-step explanation:

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:

$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:

t - (-2,-1)

q - (1,-3)

r - (3,3)

s - (0,2)

Step-by-step explanation:

Answer:

i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer!!!

Step-by-step explanation:

Answer:

30.25 for decimal and

for percent would be 3025%

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: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:

Answer: A

Step-by-step explanation:

In math

Answer:

$6

Step-by-step explanation:

Answer:

it would be a 14$ t-shirt there for you save 6 dollars.

Step-by-step explanation:

do the math in a calculator. :D

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:

$90

Step-by-step explanation:

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 -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:

5

Step-by-step explanation:

The answers equivilant to 3 are 1,5,7

Pick the angle is closer to the middle (interior). 5

Answer:

D. StartFraction 2 centimeters over 7 centimeters EndFraction = StartFraction 15 centimeters over x centimeters EndFraction

Step-by-step explanation:

Answer:

The answer is D!

Hope this helped!

P.S. : Can I get brainliest please?

Answer:

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

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.

The exterior angle of a triangle is equal to the sum of the two interior opposite angles, so : f° = a° + b° .

A triangle is a polygon which has 3 sides. The triangles can be divided into 3 types based on the value of the angles: Equilateral, isosceles ,scalene and right angled.

One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs. Right triangles adhere to the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.

We know when we add all the angles of any given triangle it is 180°

∴ a° + b° + c° = 180°

or, a° + b° = 180° - c°

Now we know that a linear pair the sum of the angles is 180°.

∴c° + f° = 180°

or, f° = 180° - c°

So from the above two equations we can say that

f° = a° + b°

Therefore in the triangle the exterior angle of the triangle is equal to the sum of the two interior opposite angles.

To learn more about triangle visit:

https://brainly.com/question/27682397

#SPJ1

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:

Not me

Step-by-step explanation:

Answer:

isn't it the same as American

Step-by-step explanation: