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2 years ago

Combine like terms -7+5x-2=15

Mathematics

1 answer:

alexgriva [62]2 years ago

3 0

<h3>If you combine like terms you get :</h3>

5x = 24

Step-by-step explanation:

$- 7 + 5x - 2 = 15$

Combine like terms

$5x = 15 + 7 + 2$

Further Workings :

Simplify

$5x = 24$

$\frac{5x}{5} = \frac{24}{5} \\ \\ x = 4.8$

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An airplane covers 94 miles in 1/6 of an hour. How many miles the plane can cover in 6 hours?

jeyben [28]

Let's find what 1/6 of an hour is.

1/6×60=10

So, ten minutes is equal to 1/6 of an hour. Let's find hour many sets of 10 minutes are in six hours. Let's first find the amount of minutes.

6×60=360

360÷10

Let's multiply that by 94.

94×36

3,384 miles in 6 hours.

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Answer:

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Step-by-step explanation:

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3 years ago

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Which of the following points lies in the l and ll quadrants.

meriva

Answer:

Quadrant I: (1,1), (4,3)

Quadrant II: (-2, 3), (-1, 1)

Step-by-step explanation:

Quadrant I points have positive x and y values. Quandrant II points have negative x values and positive y values.

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2 years ago

Finding a polynomial of a given degree with given zeros

galben [10]

Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)

One of them is real and the other two are complex conjugate roots

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Since the complex root is (1 - i), then

The other root will be the conjugate of it (1 + i)

x = (1 - i)

x = (1 + i)

To find f(x) we will multiply the three factors of it

We can get the factors from the zeroes

$x=4$

Subtract 4 from both sides

$\begin{gathered} x-4=4-4 \\ x-4=0 \end{gathered}$

The first factor is (x - 4)

$\begin{gathered} x=1-i \\ x-(1-i)=(1-i)-(1-i) \\ x-1+i=0 \end{gathered}$

The second factor is (x - 1 + i)

The third factor is (x - 1 - i)

$f(x)=(x-4)(x-1+i)(x-1-i)$

We will multiply them to find f(x)

$\begin{gathered} (x-1+i)(x-1-i)= \\ x^2-x-ix-x+1+i+ix-i-(i^2)= \\ x^2-2x+1-(-1)= \\ x^2-2x+1+1= \\ x^2-2x+2 \end{gathered}$

Multiply it by (x - 4)

$\begin{gathered} f(x)=(x-4)(x^2-2x+2) \\ f(x)=x^3-2x^2+2x-4x^2+8x-8 \\ f(x)=x^3-6x^2+10x-8 \end{gathered}$

The answer is

$f(x)=x^3-6x^2+10x-8$

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<span>You must multiply by this equality.

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