a < -9
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
5*a+18-(-27)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
5a + 45 = 5 • (a + 9)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by 5
Solve Basic Inequality :
2.2 Subtract 9 from both sides
a < -9
Answer:
<u>The most simplified form is 15√10</u>
Step-by-step explanation:
1. Let's simplify the expression:
20√270 ÷ 4√3
20√9 * 30/ 4√3 (√270 = √9 * 30)
60 √30/ 4√3
(60 √3 * √10) / 4√3 (√30 = √3 * √10)
60/4 √10 ( We cancel √3 in the numerator and in the denominator)
15√10
<u>The most simplified form is 15√10</u>
Answer:
Step-by-step explanation:
Let
x----> the temperature in degrees Fahrenheit
y ---->insect chirping rate in times per minute
we have the ordered pairs
(82,61) and (91,124)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line
we know that
The equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept
we have
---> the units are chirps per minute/degree F
take the point (82,61)
substitute and solve for b
substitute
Answer:
Range: {-4, 3, 5}
Step-by-step explanation:
The range of a function includes all the set of possible output, or y-values in a given data set of a function.
Thus, the range of the function, {(2, 3), (-3, 5), (6, -4)} includes 3, 5, and -4.
This can be written as:
Range: {-4, 3, 5}
1/4 +1/4= 1/2
6g +6g= 12g
there is 12 grams of fat in 1/2 cup of cheese
