Answer:
The capacity of the remaining bottles = 4 pints.
Step-by-step explanation:
6*3 + 6*b = 42
6b = 42 - 18
6b = 24
b = 4.
Answer:
a = 5
Step-by-step explanation:
According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder
In this case, the remainder would be zero
So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0
So we have this as;
x + 2 = 0
x = -2
-2^3 -2(-2)^2 -2(a) + 6 = 0
-8-8-2a + 6 = 0
-16 + 2a + 6 = 0
2a -10 = 0
2a = 10
a = 10/2
a = 5
√36 square inches = 6 inches (length of sq RSTU)
6 inches x 4=24 inches (per. of sq RSTU)
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1u=24 inches
3u=24 inches x 3=72 inches (per. of sq WXYZ)
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72 inches ÷ 4=18 inches (length of sq WXYZ)
18 inches x 18 inches = 324 square inches( area of sq WXYZ)
Ans: 324 square inches
Answer:The answer to your question is cos 30° = \frac{ \sqrt{3} }{2}
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
The standard equation of a line is y = mx+c
m is the slope
c is the intercept
Given
Slope = -3
Get the intercept c;
Substitute m = -3 and (1, -9) into y = mx+c
-9 = -3(1) + c
-9 = -3 + c
c = -9 + 3
c = -6
The equation becomes
y = -3x + (-6)
y = -3x-6
f(x) = -3x-6
The zero of f occurs at f(x) = 0
0 = -3x-6
3x = -6
x = -6/3
x = -2
Hence the zero of the function is -2
