Please help ASAP for 10 points!!
Answers
I believe it's 2a + 2c So sory if it's wrong!
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Answers
f(x) = (x + 2)² - 25
f(x) = (x + 2)(x + 2) - 25
f(x) = x(x + 2) + 2(x + 2) - 25
f(x) = x(x) + x(2) + 2(x) + 2(2) - 25
f(x) = x² + 2x + 2x + 4 - 25
f(x) = x² + 4x + 4 - 25
f(x) = x² + 4x - 21
x² + 4x - 21 = 0
x = -(4) +/- √((4)² - 4(1)(-21))
2(1)
x = -4 +/- √(16 + 84)
2
x = -4 +/- √(100)
2
x = -4 +/- 10
2
x = -2 + 5
x = -2 + 5 x = -2 - 5
x = 3 x = -7
f(x) = x² + 4x - 21
f(3) = (3)² + 4(3) - 21
f(3) = 9 + 12 - 21
f(3) = 21 - 21
f(3) = 0
(x, f(x)) = (3, 0)
or
f(x) = x² + 4x - 21
f(-7) = (-7)² + 4(-7) - 21
f(-7) = 49 - 28 - 21
f(-7) = 21 - 21
f(-7) = 0
(x, f(x)) = (-7, 0)
Vertex
X - Intercept
-b/2a = -(4)/2(1) = -4/2 = -2
Y - Intercept
y = x² + 4x - 21
y = (-2)² + 4(-2) - 21
y = 4 - 8 - 21
y = -4 - 21
y = -25
(x, y) = (-2, -25)
y=x^2+4x-21
y=(x+7)(x-3)
zeros are -7 and 3
Answers
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
Answers
so, the first thing the question asks of you is to see that f(g(x)) = x. try it out, plugging g(x) in as the x-variable in the first equation:
f(g(x)) = (∛(x - 4))³ + 4
they were merciful in writing this problem, and thankfully your cube roots cancel out and don't cause you any trouble. continue solving:
f(g(x)) = (∛(x - 4))³ + 4 ... cube root and exponent cancel
f(g(x)) = x - 4 + 4 ... simplify
f(g(x)) = x
so, yep. that one worked. try out the second half of the question: g(f(x)) = x
g(f(x)) = ∛((x³ + 4) - 4) ... simplify inside your radical, cancelling out the 4s
g(f(x)) = ∛(x³) ... the cube root of x³ is x itself, so:
g(f(x)) = x
and there you are. you've confirmed that these are inverses.
swim 36 laps an hour. Determine the
percent change
Answers
Answer:
D
Step-by-step explanation:
If the percent change is 30 to 36 you can already see that it is an increase
here is the work
36 - 30
30
x 100% = 20%
Answer:
20% increase, which corresponds to the light
Step-by-step explanation:
(y - x)/x * 100
(36 - 30)/30 * 100
(6 * 100)/30
600/30
20% increase
Answers
Answer:
x ≈ 11.1
Step-by-step explanation:
using the cosine ratio in the right triangle
cos42° = =
( multiply both sides by 15 )
15 × cos42° = x , then
x ≈ 11.1 ( to the nearest tenth )
Answers
Answer:
This is a numerical expression or D.
Step-by-step explanation:
It is not algebraic because it doesn't include unknown variables such as x or y
and it is not a numerical equation because equations have equal signs in them such as 5 + 6 = 11
Answer:
it is a numerical expression
Step-by-step explanation:
it is not an algebraic equation because there are no variables say, p or q or any other variables attached or unattached to its coefficients. And no equal sign attached to it.
it is not an algebraic expression.
it is not a numerical equation because it has no equal sign neither is it equating itself to another.
finally, it is a numerical expression because it only consists of numbers and has no equal sign. Or it is not equating to any other solution.