Answer:
85
Step-by-step explanation:
hello :
if : g(x)= x+7; h(x)= (x-3)² so : (4g+h)(x)=4g(x)+h(x) = 4(x+7)+(x-3)²
(4g+h)(8)= 4(8+7)+(8-3)² = 60+25=85
If you look at the attached graphic, you will see that the altitude (or height) of an equilateral triangle is:
Height = side length * sq root (3) / 2
Area = side^2 * sq root (3) / 4
1) Definitions:
1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:
conditional statement: p → q
inverse: ~p → ~q (the symbol ~ means the negation)
1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:
conditional statement: p → q
converse: q → p
2) converse of the given statement
conditional: <span>If a line is vertical, then it has undefined slope.
converse: switch the hypothesis and the conclusion
if a line has undefined slope, then it is vertical <------- answer
</span>3) Inverse of the given statement
conditional: if <span>a line is vertical, then it has undefined slope.
inverse: negate both hypothesis and conclusion.
</span>if a line is not vertical, then it does not have an undefined slope <---answer
Answer: n = 14
Step-by-step explanation: margin of error = critical value × σ/√n
Where σ = population standard deviation = 1
n = sample size = ?
We are to construct a 99% confidence interval, hence the level of significance is 1%.
The critical value for 2 tailed test at 1% level of significance is gotten from a standard normal distribution table which is 2.58
Margin of error = 0.7
0.7 = 2.58×1/√n
0.7 = 2.58/√n
By cross multipying
0.7×√n = 2.58
By squaring both sides
0.7^2 × n = 2.58^2
0.49 × n = 6.6564
n = 6.6564/0.49
n = 14
Answer:
2x + 8y = 16
Step-by-step explanation:
Subtract 2x from both sides of the equation.
8y = 16 − 2x
Divide each term by 8 and simplify.