Answer:
y=6.5
Step-by-step explanation:
2y-4=9
2y=13
y=6.5
Solution : |x+3| =7
or x= -10 or x=4
Explanation:
•You are basically looking for 2 values of X
•First X will be to the left of -3
•Second X will be to the right of -3
•Both X’s will be 7 units away from -3, if you do this correctly you will find that x to the left is equal to -10 and x to the right is equal to 4
You can develop the absolute value equation as follows:
X=-3 -7
Or
X=-3+7
Add 3 to both sides of the equation to get :
X+3=7
X+3=-7
This fits the basic definition of an absolute value equation that states if |x|=y , then x=y or x=-y
Make x the same in both so
12x+ 4y=72
12x+6y=30
Now the 12x cancel eachother out so
Difference between 6y and 4y is 2y
Difference between 30 and 72 is -42
2y must equal -42
Y = -21
Substitute -21 into the equation
X = 13
Answer: p/8
Step-by-step explanation: p is being divided by 8, meaning that in a fraction, p would be the numerator and 8 would be the denominator.
I hope this helps, have a good day.
Answer: Crickets make 172 chirps/min at 80 degrees Fahrenheit
Step-by-step explanation:
Step 1
Using the point slope formulae for Linear functions , we have that
y - y1 = m(x - x1)
where x and y are two points representing the temperature and chirps /min respectively
And
m= slope
Step 2 : Finding the slope , m
where x1=60
y1=92
x2= 75
y2=152
m= (y2-y1)/ (x2-x1)
= (152- 92)/(75-60)
=60/15 =4
Bringing down the point/slope formula and imputing the known values to find our equation to show the relationship cricket make per minute and the temperature
y - y1 = m(x - x1)
y - 92= 4(x - 60)
y - 92 = 4x -240
y = 4x - 240 + 92
y = 4x - 148
Step 3
To find the number of chirps be per minute (y) if the temperature is 80 degrees Fahrenheit( x)
y = 4(80) - 160
y = 320 - 148
y = 172 chirps/min at 80 degrees Fahrenheit
