Answer:
1) 6x+3y=5
Step-by-step explanation:
1) First, find the slope of the line passing through (-4, -1) and (-1, -7). Use the slope formula
. Substitute the x and y values of the two points into the formula and solve:
So, the slope is -2.
2) Now, identify the slopes of the lines in the options. We already know the slope of
is
since it is in slope-intercept form. y = -2 must have a slope of 0 since it's horizontal, and all equations with the format of y = a number are horizontal.
To find the slope of
, isolate y to put the equations into slope-intercept form (
format), and whatever the coefficient of the x-term is will be the slope.
.
So, the slope of the first option is -2. It matches the slope we calculated in the first step, so that must be the answer.
<u>Answer:</u>
5 hours was Aaron at the sitter
<u>Explanation:
</u>
Cost of baby sitting for the first hour: 10
Cost of baby sitting for additional hour= 12
Total cost of babysitting= 58
Since the cost of first hour is 10
Hence the remaining cost after first hour
= 54-10
=48
Which means 1 hour is consumed in the first hour
Now to calculate the remaining hours for every additional hour
= 
=4 hours
Hence the total hour Aaron was with the sitter
= 1 hour + 4 hours
= 5 hours
Answer:
50
Step-by-step explanation:
The sum of the angles of a triangle is 180
A +B +C = 180
90 +4x+ 7x-20 =180
Combine like terms
70+ 11x = 180
Subtract 70 from each side
70-70+11x = 180-70
11x=110
Divide each side by 11
11x/11= 110/11
x = 10
We want to find angle C
C = 7x-20
= 7*10-20
= 70-20
= 50
Answer:
4
Step-by-step explanation:
2 added by another 2, results in 4
<u>Answer-</u>
<em>The insect population at the end of week 11 is </em><em>1730</em><em>.</em>
<u>Solution-</u>
A population of insects grows exponentially.
The general form of exponential function is,

Where,
a, b are constants.
Putting the data given in the table, in the the equation in order to get the values of a, b
At (0, 20)



Now the exponential function becomes,

At (1, 30)




Now the equation becomes,

For calculating the number of insects at the end of the 11th week, putting x=11, so

