Answer:
C
Step-by-step explanation:
Convert to slope intercept form:
y = mx + b
2x + y = 7
y + 2x = 7
y + 2x - 2x = 7 - 2x
y + 0x = -2x + 7
y = -2x + 7
Slope = -2
Y-intercept = 7
Answer:
A
Step-by-step explanation:
Given
y = 2x² - 3x + 1
To find the zeros let y = 0, that is
2x² - 3x + 1 = 0
Consider the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 1 = 2 and sum = - 3
The factors are - 2 and - 1
Use these factors to split the x- term
2x² - 2x - x + 1 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) - 1(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x - 1) = 0
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
x - 1 = 0 ⇒ x = 1
Answer:
B. 12x + 8
Step-by-step explanation:
2x + 5 + 4x - 1 + 2x + 5 + 4x - 1
<em>Combine like terms.</em>
6x + 5 - 1 + 2x + 5 + 4x + 1
8x + 5 - 1 + 5 + 4x - 1
12x + 5 - 1 + 5 - 1
12x + 10 - 1 - 1
12x + 10 - 2
<em>Subtract 2 from 10 to get 8.</em>
12x + 8
The perimeter of the rectangle is 12x + 8, which is B.
De l'Hospital rule applies to undetermined forms like
If we evaluate your limit directly, we have
which is neither of the two forms covered by the theorem.
So, in order to apply it, we need to write the limit as follows: we start with
Using the identity , we can rewrite the function as
Using the rule , we have
Since the exponential function is continuous, we have
In other words, we can focus on the exponent alone to solve the limit. So, we're focusing on
Which we can rewrite as
Now the limit comes in the form 0/0, so we can apply the theorem: we derive both numerator and denominator to get
So, the limit of the exponent is -6, which implies that the whole expression tends to
5^2=25
25-(2x7^2)
7^2=49
25-(2x49)
49x2=98
25-98=-73
Answer= -73