If we let x as the total number of baseball cards
and yn be the quotient per operation, then
x/17 = y1 + 3
x/16 = y2 + 10
x/11 = y3 + 4
x/7 = y4
Based on Equation 1, x must be greater than 17
Based on Equation 4, x must be divisible by 7
y1, y2, and y3 must all be whole numbers
The smallest possible number of cards is 70
Answer: m=8
Step-by-step explanation:
5m-8=3m+8
Move the variable to the left hand side and change its sign; move the constant to the right hand sign and change it's sign
5m-3m=8+8
Collect like terms
2m=16
Divide both sides by 2
2m/2=16/2
m=8
Answer:
32
Step-by-step explanation:
Given
-x (y + z)
If y = -3
x = 4 and
z = -5
Substitute the respective values into the expression
-(4) (-3 + -5)
Positive negative when combined gives negative
-4 ( -3 - 5)
Simplify the bracket
-4 (-8)
-4 x -8
Negative negative gives positive
32
Solution:
<u>Note that:</u>
- Area of triangle = 6 3/8 yd²
- Height of triangle = 2 1/2
- Area of triangle = 1/2 x base x altitude
<u>Use the formula to find the base of the triangle.</u>
- 1/2 x base x altitude = 6 3/8 yd²
- => 1/2 x base x 2 1/2 = 6 3/8 yd²
- => 1/2 x base x 5/2 = 6 3/8 yd²
- => 5/4 x base = 6 3/8 yd²
- => base = 6 3/8 ÷ 5/4 yd
- => base = 51/8 x 4/5 yd
- => base = 51/2 x 1/5 yd
- => base = 51/10 yd
The length of the base is 51/10 yards.
<h2>
Answer:</h2>
is the Square Root Function. These are the characteristics of the graph of the square root function:
-
The domain of the function is the set of all non negative real numbers.
-
The range of the function is the set of all non negative real numbers.
-
The graph has an intercept at
.
-
The graph is increasing on the interval
.
Since the function 
, then this stands for the form:
. This form tells us that the graph of f has been shifted c units downward where the value c = 2 in this problem. The graphs of both functions are shown below. The red one is 
while the blue one is 
