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3 years ago

I need help with an algebra assignment right away!

1 answer:

4 0

So remember that slope-intercept form is y = mx+b (m = slope, b = y-intercept) and standard form is ax+by = c. (a and b are coefficients and c is the constant)

Starting with the first question: 9x + 2y = 6

Firstly, subtract 9x on both sides: 2y = -9x + 6

Next, divide both sides by 2, and your equation will be y = -4.5x + 3

Now with the next equation: y - 3 = 4(x + 1)

Firstly, foil 4(x + 1): y - 3 = 4x + 4

Next, subtract y on both sides: -3 = 4x - y + 4

Next, subtract 4 on both sides, and your answer will be: -7 = 4x - y

Next equation: y + 7 = -2(x - 3)

Firstly, foil -2(x - 3): y + 7 = -2x + 6

Next, subtract 7 on both sides of the equation, and your answer will be: y = -2x - 1

Next: y - 5 = 3(x - 2) (part a)

Firstly, foil 3(x - 2): y - 5 = 3x - 6

Next, add 5 on both sides, and your equation is: y = 3x - 1

Next, y - 5 = 3(x - 2) (part b)

Firstly, foil 3(x - 2): y - 5 = 3x - 6

Next, subtract y on both sides of the equations: -5 = 3x - y - 6

Next, add 6 on both sides of the equation, and your answer will be: 1 = 3x - y

You might be interested in

Two angles are supplementary angles if the sum of their measures is 180°. find two supplementary angles such that the measure o

suter [353]

Let the second angle be x.

Second angle = x
First angle = 3x - 6

The sum of the two angles is 180°
x + 3x - 6 = 180
4x - 6 = 180
4x = 186
x = 186 ÷ 4 = 46.5°

Second angle = 46.5°
First angle = 3(46.5) - 6 = 133.5°

Answer: The angles are 46.5° and 133.5°

7 0

3 years ago

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p

hichkok12 [17]

Answer:

(D) 112

Step-by-step explanation:

First step: Arrange all the numbers from in ascending order that is from smallest to largest.

In Ascending order the set becomes:

45,99,108,116,118,118,118,119,120,121,124,130,148.

Second step: Find the median of the set of numbers.

Median is the middle number.

The median is 118. The median is also called the second quartile(Q2).

Third step: Now we consider all the numbers to the Left of the median(Q2). The numbers are listed below:

45,99,108,116,118,118.

Now we will find the median of these numbers.

The total numbers are 6 which is an even number.

To find the median of an even number, we add the two middle numbers and divide them by 2.

The two middle numbers are 108 and 116.

Therefore 108+116 = 224.

224/2 =112.

Therefore 112 becomes the first quartile (Q1).

4 0

3 years ago

Pleaseee answer I realllyyy neeedddd helpppll

Gnom [1K]

Answer:

x is the independent variable

y is the dependant variable

-3 is the rate of change (otherwise known as gradient or slope)

-7 is the initial value

Step-by-step explanation:

The dependant variable is the variable which is determined by the value of the independent variable;

So, if we say x = 1, then the value of y is as follows, y = -3(1)-7 = -10;

The independent variable is (practically) always the x-values and the dependant variable is (practically) always the y-values.

Conventionally, the independent variable, on a graph, is on the x-axis and the dependant variable is on the y-axis.

The rate of change/gradient, in the case of line equations, is simply the coefficient of x, which is just the number that appears before "x" in the equation, i.e. -3.

The initial value is found simply by setting x = 0, and calculating the value of y;

This will always be the number in the equation that is not the coefficient of x, i.e. the number added or subtracted in the equation, -7 in this case.

5 0

3 years ago

Two of the steps in the derivation of the quadratic formula are shown below.

Alexeev081 [22]

Taking the square root of both sides of the equation. on e2020

7 0

3 years ago

Read 2 more answers

Anyone can help me to solve this?

marishachu [46]

Answer:

$x^3+3x^2+2x$

Step-by-step explanation:

<u>Definitions</u>

Integer: A whole number that can be positive, negative, or zero.

Consecutive Integers: Integers that follow each other continuously in the order from smallest to largest.

Product: The result of multiplying two of more values together.

Let x be the first integer.

Therefore, to find the consecutive integers, add 1 to each term:

x
x + 1
(x + 1) + 1 = x + 2

Therefore, the product of the first three consecutive integers is:

$\begin{aligned}x(x+1)(x+2) & = (x \cdot x+x \cdot 1)(x+2)\\& = (x^2+x)(x+2)\\ & = x^2 \cdot x+x^2 \cdot 2+x \cdot x+x \cdot 2\\& = x^3+2x^2+x^2+2x\\& = x^3+3x^2+2x\end{aligned}$

6 0

1 year ago

Read 2 more answers