On a coordinate plane, 2 lines intersect at point (negative 1, 2). Which ordered pair is the solution of the system of equations shown in the graph?

Answer:

What's the graph?

Step-by-step explanation:

The linear function f(x) = 4/5x - 9

Given,

f(-20) = -25

Slope, m = 4/5

We have to find the linear function f(x)

We know the slope-intercept form, y = mx + b

Here,

f(-20) = -25

x = -20 and y = -25

slope, m = 4/5

So, lets solve for b.

y = mx + b

-25 = 4/5 (-20) + b

-25 = 4 × (-4) + b

-25 = -16 + b

Add 16 to both sides

16 - 25 = -16 + 16 + b

We get,

-9 = b

Now, find f(x)

f(x) = 4/5x - 9

That is, the linear function f(x) = 4/5x - 9

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Answer:

Both of the points are in the same x-axis (which is 4). However, they are different because one of them is shifted 9 units up and the other one is shifted 9 units down (their y-axis are different). Their quadrants are also different since (4,9) is at the first quadrant, while (4,-9) is at the fourth quadrant.

Answer:

You must turn the variables, or the "x" into a number to make the numbers on the left equal the numbers on the right.

Step-by-step explanation:

In order to solve these problems, you must replace the variable with a number to have the equation on the left equal what is on the right.

Equation 1:

x - 4y = -12 <----- This is the original problem.

-8 - 4y = -12 <----- Replace the variable.

-12y = -12 <----- This is a true statement.

Equation 2:

  5x=20y+60 <----- This is the original problem.

5(16) =20y+60 <----- Replace the variable/Do the addition.

80 = 80y <------ This is a true statement.

Hope this helps! :D

The expressions are simplified to 2x and [tex]\frac{2}{(x+ 1)(x - 1)}[/tex]

1.

Given the expression;

[tex]\frac{8x^2 - 4x}{4x - 2}[/tex]

Let's factorize the numerator;

[tex]\frac{2x( 4x - 2)}{4x - 2}[/tex]

Factor the common terms, we have;

2x

2. [tex]\frac{1}{x-1} - \frac{2}{x} + \frac{1}{x + 1}[/tex]

Find the Lowest common multiple

[tex]\frac{x(x+ 1) - 2 (x+ 1)(x - 1) + x(x-1)}{x(x-1)(x+ 1)}[/tex]

expand the brackets

[tex]\frac{x^2 + x -2(x^2 -x + x -1) + x^2 -x}{x(x-1)(x+ 1)}[/tex]

[tex]\frac{x^2+x - 2x^2 -2 + 2x + 2 + x^2 - x}{x(x+1) (x -1)}[/tex]

collect like terms

[tex]\frac{2x}{x(x+ 1) (x-1)}[/tex]

Divide common terms

[tex]\frac{2}{(x+ 1)(x - 1)}[/tex]

Thus, the expressions are simplified to 2x and [tex]\frac{2}{(x+ 1)(x - 1)}[/tex]

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In one week he's made $1,500

Answer:

1,500 fffffffffffffffffffffffffffffffff

Answer:

i think it is 0 over 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 and 2.

slope is m = ( y2-y1) / (x2-x1)

slope of BC = 5-3 /6-1 = 2/5

slope of AD = 1 +1 / 7-2 = 2/5

3 and 4

use the distance formula d= √(x2-x1)² +(y2-y1)²

BC = √( 6-1)²+(5-3)² = √5²+2²= √29

AD = √(7-2)²+(1+1)² = √5²+2² = √29

5.

since BC and AD have the same slope then they are parallel

since BC and AD are same length the segments are ≅

so ABCD is a rectangle

Answer:

Prime Number

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

no, 9/31 is not an irrational number. ... So we have shown that the square root of any non-square cannot be rational; hence, it is irrational.

The square root of 9/31 rational is not a rational number.

We have given that  9/31.

We have to determine is the square root of 9/31 rational

A rational number is a number that can be expressed as the quotient of two integers, with the denominator not equal to zero.

9/31 is not an irrational number.

So we have shown that the square root of any non-square cannot be rational.

hence, it is irrational.

Therefore it is not a rational number.

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Answer:

12/15

Step-by-step explanation:

Answer:

I hope this helps you

Step-by-step explanation:

9/10 + 3/5

= LCM of 10 and 5 =10

= 9/10 + 6/10

= 9+6/10

= 15/10 = 3/2 = 1.5

Answer:

Step-by-step explanation:a

right 3 units down 5 units

[tex]f(x)=x^2[/tex]

right 3 units = (3,0)

down 5 units = (0,-5)

vertex = (h,k) therefore.

[tex]g(x)=(x-3)^2-5[/tex]

Then convert the vertex form into standard form for the equation in the choice.

[tex]g(x)=(x-3)^2-5\\g(x)=(x^2-6x+9)-5+9\\g(x)=(x^2-6x)+4\\g(x)=x^2-6x+4[/tex]

Thus, the answer is B.

Answer:

y= -3x+4

Step-by-step explanation:

Answer:

the second one for sure

Answer:

-1/4

Step-by-step explanation:

But in reality, it is going from positive to negative, so the answer is -1/4.

Answer:

-1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

x- coordinate of the vertex is

x= -b/2a = -0/2*2 = 0

y-coordinate is

y= 2*0 +18 = 18

so vertex is at (0, 18)

The pressure needed to pump water up to the restaurant on the top floor is 4018000 N/m².

Pressure can be defined as the ratio of force to area of an object.

To calculate the pressure needed, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the pressure needed to pump water up to the restaurant on the top floor is 4018000 N/m².

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Answer:

The father is 67 and the son is 38

Step-by-step explanation:

TRUST ME Bois and Girls

ok and the news officials are not aware that they are not going through a law enforcement department to get the Christmas pet to the other one of their mouth and a wife is the one that will make it a point that you can do it

Answer:

160....................

Answer:

Step-by-step explanation:

Answer:

(a) The number of units that will give the maximum profit is 2,000 units.

(b) The maximum possible profit is $274,000.

Step-by-step explanation:

(a) How many units will give the maximum profit?

From the attached photo in the question, we are given;

R(x) = 324x - 0.0495x^2 ………………....................................……….. (1)

C(x) = 8000 + 162x - 0.099x^2 + 0.00003x^3 …………………….. (2)

In economics, profit function, P(x), is obtained as follows:

P(x) = R(x) - C(x) ………………………. (3)

Substituting the equations (1) and (2) for R(x) and C(x) respectively into equation (3) and then simplify, we have:

P = 324x - 0.0495x^2 - (8000 + 162x - 0.099x^2 + 0.00003x^3)

P = 324x - 0.0495x^2 - 8000 - 162x + 0.099x^2 - 0.00003x^3

P = -8000 + 162x + 0.0495x^2 - 0.00003x^3 ………………….. (4)

Taking a derivative of equation (4) with respect to x and equating to 0, we have:

162 + 0.099x - 0.00009x^2 = 0 .................... (5)

Using the almighty formula as follows:

x = (-b +/- (b^2 - 4ac)^0.5) / 2a ………………. (6)

Where, from equation (5);

a = - 0.00009

b = 0.099

c = 162

Substituting the values into equation (6), we have:

x = (-0.099 +/- (0.099^2 - (4 * (- 0.00009) * 162))^0.5) / (2 * - 0.00009)

x = (-0.099 +/- 0.261) / -0.00018

x = (-0.099 + 0.261) / -0.00018, or x = (-0.099 - 0.261) / -0.00018

x = -900, or x = 2000

Since negative number does not have economic value in economics, the number of units that will give the maximum profit is therefore 2,000 units.

(b) What is the maximum possible profit?

From part a, x = 2000

Substituting x = 2000 into equation (4) and then solve, we have:

P(x) = -8000 + (162 * 2000) + (0.0495 * 2000^2) - (0.00003 * 2000^3)

P(x) = 274,000

Therefore, the maximum possible profit is $274,000.

Answer:

She would expect to find about 282 fish in the lake.

Step-by-step explanation:

Answer:

answer is 14   and it is a example of derivative

Step-by-step explanation:

Answer:

A, B, C,

Step-by-step explanation:

Just use a calculator...?

a)

[tex]2^-^2*2^8=\frac{1}{2^2}*2^8=\frac{2^8}{2^2}=2^8^-^6=2^6=64\\[/tex]

b)

[tex]3^-^5*3^1=\frac{1}{3^5}*3=\frac{3}{243}=\frac{1}{81}[/tex]

c)

[tex]4^4*4^-^3=\frac{4^4}{4^3}=4^1=4[/tex]

d)

[tex]5^3*5^-^1=\frac{5^3}{5^1}=5^2=25[/tex]

e)

[tex]6^-^8*6^-^6=\frac{6^6}{6^8}=6^-^2=\frac{1}{6^2}=\frac{1}{36}[/tex]

f)

[tex]8^2*8^-^4=\frac{8^2}{8^4}=8^-^2=\frac{1}{8^2}=\frac{1}{64}[/tex]

Answer:

The answer is D

Step-by-step explanation: