Answer:
x = -8 or x = 3
Step-by-step explanation:
To factor ax² + bx + c, use AC method.
a times c is 1 × -24 = -24.
Factors of ac (-24) that add up to b (5) are 8 and -3.
Divide by a and reduce: 8/1 and -3/1.
Therefore, the factors are x + 8 and x − 3.
x² + 5x − 24 = 0
(x + 8) (x − 3) = 0
x = -8 or 3
Answer:
The 108 it should be more
Step-by-step explanation:
For the second question the answer should be 50×6=300+50=350 letters for Matilda. And for Lorraine It would be 40×6=240+80=320
Answers with explanations:
Problem 2-
First we have to insert our numbers into the equation. So we would have
l2l-l-7l
The ll bars mean to find the absolute value. Absolute value is how many spaces it is between that number and zero. So we can simply this to
2-7=-5
Problem 3-
First, we have to insert our numbers into the problem.
2(-2)^3(3)
Using PEMDAS or order of operations, we solve the exponent first and simplify from there
2(-8)(3)
(-16)(3)
(-48)
The answer is -48
Problem 4-
Again, we have to input the numbers into the equation.
(4^2-4(-3))/2
(16-4(-3))/2
(16+12)/2
(28)/2
14
The answer is 14
Problem 5-
(3)(-1)-(-1^2)
(3)(-1)-(1)
-3-1
-4
The answer is -4
Problem 7-
l-3-4l- -3^2
l-3-4l- +9
l-7| - +9
7-+9
-2
The answer is -2
Problem 8-
3(-3)^2-4|-3|+6
3(9)-4|-3|+6
27-4|-3|+6
27-12+6
21
Answer:
f(x) = 5*cos(5*x) + 2
Step-by-step explanation:
A general cosine function is written as:
f(x) = A*cos(ω*x) + M
where:
A is the amplitude
M is the midline
ω is the angular frequency.
In this case we know that:
The amplitude is 5, then A = 5
The midline is 2, then M = 2
The period is 2*pi/5
The relation between the angular frequency ω and the period T is:
ω = 2*pi/T
Then if the period is T = 2*pi/5, replacing that in the above equation we find that:
ω = 2*pi/T = 2*pi/(2*pi/5) = 5
ω = 5
Then the function is:
f(x) = 5*cos(5*x) + 2
