Answer:
D
Step-by-step explanation:
12-y=2x-5
+5 +5 ( add 5 to both sides)
17-y=2x
-17 -17 (Subtract 17 to get y by itself)
-y=2x-17
divide by -1 because y cant be negative
y=-2x+17
m=-2 and y-intercept= 17
I hope thats right :)
Answer:
mark me as a brainlist answer
Step-by-step explanation:
Give examples to explain the properties of real numbers
Property (a, b and c are real numbers, variables or algebraic expressions)Examples8.Additive Inverse Property a + (-a) = 04 + (-4) = 09.Multiplicative Inverse Property10.Zero Property of Multiplication a • 0 = 04 • 0 = 011.Closure Property of Addition a + b is a real number10 + 5 = 15 (a real number)
Answer:
L = 25
Step-by-step explanation:
Let's call the Length x and width x - 15 since the width is 15 less than length
Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides
x + x + (x - 15) + (x - 15) = 70 add like terms
4x - 30 = 70 add 30 to both sides
4x = 100 divide both sides by 4
x = 25
<span>1.) In numbers from 1 to 12, there are 4 numbers that are divisible by 3 (3,6,9 and 12), meaning there will be 4 possible outcomes if a number will be drawn from 12 numbers. The probability of drawing a number divisible by 3 is 4/12 or 1/3.
2.) In the movie drawer, there are 15 movies, seven are action movies, five comedies, and three dramas. The probability of choosing an action movie is 7/15, while a comedy is 5/15. The probability of choosing an action or a comedy is higher at (7/15+5/15) or 12/15 equivalent to 4/5.
3.) Having drawn 8 black marbles and 2 white marbles from a bag of 100 marbles give a probability of 8/10 (4/5) for black marbles and 2/10 (1/5) for white marbles. If there are 100 marbles, we can predict that there are 4/5(100) equivalent to 80 marbles in the bag.</span>
<span>
4.) On a youth soccer team, three out of 12 team members have played in previous years. Based on this information, if 180 kids are in the youth soccer league, then the number of members who could be expected to have played the year before is 3/12 or ¼ of 180 which is 45. </span>
Answer: x = 4 and x = -3/2
Procedure:
1) Given: 2x^2 - 5x - 12 = 0
2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0
3) Rearrange: (2x)^2 -5(2x) - 24 = 0
4) Notice that the common factor is (2x)
5) Set the parenthesis with the common factor inside:
(2x ) (2x ) =0
6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)
(2x - )(2x + ) = 0
7) find two numbers that sum up - 5x and its product is -24.
- 8 + 3 = - 5
(-8)(+3) = -24
=> the numbers in the factors are -8 and +3
(2x - 8) (2x + 3) = 0
That is the factored equation. Now you can solve
8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4
b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2
Answer: the two solutions are x = 4 and x = -3/2
