Answer:
(x + 4) and (x + 1)
Step-by-step explanation:
x² + 5x + 4
Consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (+ 5)
The factors are 4 and 1 , since
4 × 1 = 4 and 4 + 1 = 5 , then
x² + 5x + 4 = (x + 4)(x + 1) ← in factored form
<u>Given</u>:
The given triangle is a similar triangle.
The length of the hypotenuse is 18 units.
The length of the leg is a.
The length of the part of the hypotenuse is 16 units.
We need to determine the proportion used to find the value of a.
<u>Proportion to find the value of a:</u>
We shall find the proportion to determine the value of a using the geometric mean leg rule.
Applying the leg rule, we have;
Substituting the values of hypotenuse, leg and part, we get;
Thus, the proportion used to find the value of a is
Hence, Option D is the correct answer.
The inequality that can be used to find the values for p is p + 7 ≤ 50.
Given the information,
Mr. Smith can only spend up to $50 at a museum. The museum admission ticket is $7. He can use his P dollars to purchase other items from the museum.
The total budget is $50.
The cost per ticket is $7
⇒ Total spent ≤ Total Budget
⇒ p + 7 ≤ 50
⇒ p ≤ 43
Therefore, p + 7 ≤ 50 will be the inequality that aids in determining the range of values for p.
To learn more about inequality click here:
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Answer:
$135.63
Step-by-step explanation:
first and foremost, the formula for interest is I = Prt. P is the principal, r is the rate, and t is the time.
so plug in the numbers you have. Always convert the rate to a decimal. The rate would be 0.0.45. Plug in 54.93 for the I and plug in 9 for the time. It would look like this:
54.93 = P(0.045)(9) --> 54.93 = 0.405P --> P = 135.63
Answer:
(-∞,∞)
Step-by-step explanation:
This would form a roughly parabolic shape that extends infinitely along the x-axis. It would reach a height of ³√2 on the y-axis. Because it extends infinitely left and right, it would have an infinite domain. In interval notation, this would be (-∞,∞)
