Please indicate exponentiation using " ^ " Thanks.
f(x)=x2+14x+40 => <span>f(x)=x^2+14x+40
Next, complete the square:
</span>f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9
Write this in the form y = (x+7)^2 - 9 or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9
In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).
Answer is B. second one
A = 1/8, B = 5/16, C = 7/12, D = 5/6
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Answer:
12) A ( 9, 11, 13, 15)
13) A ( o , a)
14) A (b ∈ ( a, b, c, d, e, f))
15) C ( -364)
16) D (-1°C)
17) B (Negative)
18) C (26 feet)
19) B (7)
Step-by-step explanation:
12) All of these are odd numbers greater than 7
13) These are the only vowels in "MONDAY"
14) Point B cannot belong in a set that already has B
15) -9876 + 9512 = -364
16) 4 - 5 = -1
17) ex: -2 + (-2) = -4
18) -20 + 12 - 18 = -26
19) 3(5) + 4(-2) = 15 - 8 = 7
-Chetan K
Answer:
John’s age is 8 years
Step-by-step explanation:
Let
x -----> John’s father's age
y -----> John’s age
z -----> John’s sister's age
we know that
-----> equation A
-----> equation B
-----> equation C
Substitute equation A and equation B in equation C and solve for y
Multiply by 2 both sides to remove the fraction
<em>Find the value of x</em>
<em>Find the value of z</em>
therefore
John’s father's age is 40 years
John’s age is 8 years
John’s sister's age is 4 years
It is C, because the x values between the first dot and the second is 4. So you multiply the slope 4 times on the y value. The y value changes from -2 to -5, so -2 + 4*-3/4 should be equal to -5
