X = first integer, y = second integer (right after x)
since y is right after x, we can say
y = x+1
If the product of the two integers (x and y) is 42, then
x*y = 42
x*( y ) = 42
x*( x+1 ) = 42 ... y is replaced with x+1
x*x + x*1 = 42
x^2 + x = 42
x^2 + x - 42 = 0
(x + 7)(x - 6) = 0 ... factor
x + 7 = 0 or x - 6 = 0
x = -7 or x = 6
The result must be positive as the problem states it, so we toss out x = -7
The only answer is x = 6
If x = 6, then
y = x+1
y = 6+1
y = 7
The two consecutive numbers are 6 and 7
The final answer is 6
Sure enough, 6*7 = 42 checks out
Answer: A
Step-by-step explanation:
Following the first two steps of the sequence of transformations,
We need to map this onto D(1,1), which involves a translation 3 units right.
Answer:
The GCF is -10
Step-by-step explanation:
-10 in the highest/largest number that goes into both -20 and -50.
if you have to factor -20v-50 as well it would be:
-10(2v+5)
and to check if that answer is correct, distribute -10 inside the parenthesses:
-10 times 2v = -20v
-10 times 5 = -50
-20v-50
The slope of the linear function shown is of -1/3.
<h3>What is a linear function?</h3>
A linear function, in slope-intercept formula, is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points of a line, the slope is given by <u>change in y divided by change in x</u>.
In this problem, the line goes through points (-3,0) and (0,-1), hence the slope is given by:
m = (0 - (-1))/(-3 - 0) = 1/-3 = -1/3.
More can be learned about linear functions at
brainly.com/question/24808124
#SPJ1
Answer:
Option B is the correct answer.
Step-by-step explanation:
Given
List Price=$720
The percentage of discount=13%
In order to find the amount of discount, 13% of the amount has to be calculated. To calculate 13% , the amount is multiplied by 13/100.
Amount of discount=13% of list price
=720*13/100
=720*0.13
=$93.60
The amount of discount is $93.6..
