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skelet666 [1.2K]
3 years ago
7

ANSWER FOR BRAINLIEST!!!

Mathematics
1 answer:
Maru [420]3 years ago
4 0

If you know that -2 is a zero of f(x) = x^3 + 7x^2 + 4x - 12, explain how to solve the equation.

First you have to figure out what could make f(x) = 0 to get rid of the cube. I'm going to test the array of data, x = -2, x = -3, and x = -4 because this type of equation probably has more negative values given that if you plug in some values the cubed-values and squared-values will surpass the "-12". Plug this into a calculator.
x^3 + 7x^2 + 4x - 12
f(-2) = -8 + 28 - 8 - 12 = 0

So you know that when x = -2, f(x) = 0. Divide "(x + 2)" from the equation and you will get... x^2 + 5x - 6. Now this is a simple polynomial one that you can figure to be (x + 6) (x - 1) just by looking at it because -6 multiplied by 1 is negative 6 and you see 5 and know that 6 - 1 = 5.

The solution is (x + 6) (x - 1) (x + 2) meaning that when x = -6, 1, or -2, f(x) is 0.

You might be interested in
4 (1/2x 7) = 12. what is x. can someone do the whole answer with the work?
alina1380 [7]
4(1/2x7)=12 <=> x28/2=12
x=12*2/28=24/28=12/14=6/7
8 0
3 years ago
Si 4x= 5/6y entonces 5y=
Hunter-Best [27]

Answer:

5y=24x

Step-by-step explanation:

<em>The question in English is</em>

If 4x= 5/6y then 5y=

we have

4x=\frac{5}{6}y

Solve for 5y

Multiply both sides by 6

6*4x=(6)*\frac{5}{6}y

Simplify

24x=5y

Rewrite

5y=24x

8 0
3 years ago
INTELLIGENT STUDENT IN TRIG?.Ill give brainlest​
faltersainse [42]

Answers:

x = 6

y = 6*sqrt(2)

=======================

Explanation:

To find these values, you can use the general template of a 45-45-90 triangle or you can use trig ratios

tan(45) = 1

tan(angle) = opposite/adjacent

tan(45) = x/6

1 = x/6

6*1 = x

x = 6

-------

sin(45) = 1/sqrt(2)

sin(angle) = opposite/hypotenuse

sin(45) = 6/y

1/sqrt(2) = 6/y

1*y = sqrt(2)*6

y = 6*sqrt(2)

8 0
3 years ago
Kajal holds a ruler in some wavy water. The depth of the water t seconds after she starts measuring it, in cm, is given by D(t)=
Vera_Pavlovna [14]

Answer:

t = 0.77

Step-by-step explanation:

D(t) = 50 - 23 sin(π(t + 0.23))

The value of the sine function has a maximum of -1 and a minimum of 1.

The average value of the sine function is 0.

At maximum sine value:

D(t) = 50 - 23(1) = 50 - 23 = 27

At minimum sine value:

D(t) = 50 - 23(-1) = 50 + 23 = 73

At average sine value of 0:

D(t) = 50 - 23(0) = 50 - 0 = 50

The average depth of the waves is 50 cm.

Now we need to find at what time, t, that occurs.

D(t) = 50 - 23 sin(π(t + 0.23)) = 50

50 - 23 sin(π(t + 0.23)) = 50

-23 sin(π(t + 0.23)) = 0

sin(π(t + 0.23)) = 0

The value of the sine is 0 at 0, π, 2π, ..., nπ

π(t + 0.23) = nπ

t + 0.23 = n

t = n - 0.23

n is all integers, but here we are concerned with the first occurrence after time equals zero, so we want n = 1.

t = 1 - 0.23

t = 0.77

8 0
3 years ago
What’s the correct answer
liraira [26]
I think the answer is d
7 0
3 years ago
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