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3 years ago

Solve x^3 - 3x^2 - 13x + 15= x^4 + 3x^3 - 8x^2 + 5x - 25= x^3 - 2x^2 - x + 2 =

Mathematics

1 answer:

AleksAgata [21]3 years ago

5 0

We have Been doing Solving qart log

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Help timed test! At which root does the graph...

Anastaziya [24]

Answer:

x = -2

Step-by-step explanation:

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

To find where it will touch the axis set the factor equal to zero and solve.

(x + 2) = 0

subtract 2 from both sides

x = -2

5 0

3 years ago

How to find b with (4a-b) + (4b-a) = 180

Sunny_sXe [5.5K]

Answer:

just simplify it ...

Step-by-step explanation:

4a-b+4b-a=180
3a+3b=180
3(a+b)=180
both sides divide by 3
a+b =60
b=60-a

6 0

3 years ago

11 POINTS PLZ HELP EMERGENCY

Bad White [126]

Part A

The given expression is:

$(-5(1+2i)+3i(3-4i)$

We expand to get:

$-5-10i+9i-12i^2$

Note that $i^2=-1$

$12-5-10i+9i$

$-5-10i+9i+12$

$7-i$

Part Bi)

The given expression is;

$\sqrt{-50}$

We simplify to get:

$\sqrt{25\times 2\times -1}$

$\sqrt{25\times} \sqr{2}\times \sqrt{-1}$

Note that:

$\sqrt{-1}=i$

$5\sqr{2}i$

This is now of the form $a+bi$ , where $a=0,b=5\sqr{2}$ .

This explains why it is a complex number;

Part bii)

The given expression is :

$\frac{\sqrt{-50} }{\sqrt{5}}$

We simplify to get

$\sqrt{\frac{-50 }{5}}$

$\sqrt{-25}$

$\sqrt{-25}=\sqrt{25}\times \sqrt{-1}$

$\sqrt{-25}=5\times i$

$\sqrt{-25}=5i$

Part C

We want to simplify:

$i^{22}$

We rewrite in terms of $i^2$

$i^{22}=(i^2)^{11}$

$i^{22}=(-1)^{11}$

$i^{22}=-11$

5 0

3 years ago

Helppp need to find x and r TRIG!

jolli1 [7]

Answer:

x = 18

18√2

Step-by-step explanation:

This is a special right triangle with angle measures 45° 45° 90°

in this special triangle the side lengths are expressed as a, a, and a√2

So x = a and x = 18

r = a√2 and r = 18√2

7 0

3 years ago

write and solve the differential equation that models the following statment. "the rate if change of W with respect to x is prop

Vaselesa [24]

Answer:

$\int k(x + 18)dx = \int kx + 18k dx$ = $k\frac{x^{2} }{2}$ + $18kx$ + C where C is the constant of integration.

Step-by-step explanation:

i)it is given that the rate of change of W with respect to x is proportional to

x + 18. Therefore $\frac{dW}{dx}$ = k(x + 18) where k is a constant.

ii) Therefore $\int k(x + 18)dx = \int kx + 18k dx$ = $k\frac{x^{2} }{2}$ + $18kx$ + C where C is the constant of integration.

iii) the complete solution can only be found if we know the constant of proportion and also the constant of integration.

4 0

3 years ago