Answer:
x=14
x=−2
Step-by-step explanation:
Factoring x2-12x-28
The first term is, x2 its coefficient is 1 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is -28
Step-1 : Multiply the coefficient of the first term by the constant 1 • -28 = -28
Step-2 : Find two factors of -28 whose sum equals the coefficient of the middle term, which is -12 .
-28 + 1 = -27
-14 + 2 = -12 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 2
x2 - 14x + 2x - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-14)
Add up the last 2 terms, pulling out common factors :
2 • (x-14)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-14)
Which is the desired factorization
Answer:
The other leg of the triangle is 12.
Step-by-step explanation:
Given:
Hypotenuse of triangle is 13 and a leg(Leg1) is 5.
Let, the other leg of the triangle (Leg2) be 
.
Now, putting the formula:
⇒ 
⇒
⇒
⇒
Taking square root both sides
⇒
⇒
.
Therefore, the other leg of the triangle is 12.
1 + 1 + 0 + 0 = 2 + 0 = 2
Answer is 2.
Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:
mean = (17+13+13+22+11+20)/6 = 16.
Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.
17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16
Now average these outcomes:
variance = (1+9+9+36+25+16)/6 = 16.
So the variance by coincidence is the same as the mean.
Answer C is your answer.
The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
<h3>What is a function?</h3>
A function is a rule that relates two variables.
Let us check the x-intercept, y-intercept, and maximum value for each function.
1)y =-3Sin(x)
for x-intercept put y=0
0 = -3Sin(x)
Sin(x) =0
x=0
for y-intercept put x=0
y=-3Sin0
y=0
The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3
Similarly, for y = -3cos(x)
x-intercept =π/2
y-intercept = 3
Maximum value of function = lower limit of the range of 3cos(x) i.e. 3
Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
To get more about functions visit:
brainly.com/question/17043948
