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aleksandrvk [35]
3 years ago
8

Pls helpsbsnnsbdbdbdbdb

Mathematics
1 answer:
laila [671]3 years ago
8 0

Answer: -4x+c

Step-by-step explanation:

It’s already simplified

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Find the polynomial f(x) of degree 3 with real coefficients that has a y-intercept of 60 and zeros 3 and 1+3i.
Sauron [17]

\bf \begin{cases} x=3\implies &x-3=0\\ x=1+3i\implies &x-1-3i=0\\ x=1-3i\implies &x-1+3i=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (x-3)(x-1-3i)(x-1+3i)=0 \\\\\\ (x-3)\underset{\textit{difference of squares}}{([x-1]-3i)([x-1]+3i)}=0\implies (x-3)([x-1]^2-[3i]^2)=0 \\\\\\ (x-3)([x^2-2x+1]-[3^2i^2])=0\implies (x-3)([x^2-2x+1]-[9(-1)])=0

[ correction added, Thanks to @stef68 ]

\bf (x-3)([x^2-2x+1]+9)=0\implies (x-3)(x^2-2x+10)=0 \\\\\\ x^3-2x^2+10x-3x^2+6x-30=0\implies x^3-5x^2+16x-30=f(x) \\\\\\ \stackrel{\textit{applying a translation with a -2f(x)}}{-2(x^3-5x^2+16x-30)=f(x)}\implies -2x^3+10x^2-32x+60=f(x)

5 0
3 years ago
I need help on #10
Ede4ka [16]
D = sq.root of((x2 - x1)^2 + (y2 - y1)^2)
sq.root of 13 = sq.root of((x - (-2))^2 + (1 - 3)^2)
= sq.root of((x + 2)^2 + (-2)^2)
= sq.root of (x^2 + 4x + 4 + 4)
= sq.root of (x^2 + 4x + 8)

Now if we square both sides:
x^2 + 4x + 8 = 13
x^2 + 4x - 5 = 0
(x + 5)(x - 1) = 0
x = -5 or x = 1
6 0
3 years ago
use words to write a proportion that can be used to find the number of degrees represented by any time interval
GenaCL600 [577]

Answer:

For example, [latex]\text{60%}=\frac{60}{100}[/latex] and we can simplify [latex]\frac{60}{100}=\frac{3}{5}[/latex]. Since the equation [latex]\frac{60}{100}=\frac{3}{5}[/latex] shows a percent equal to an equivalent ratio, we call it a percent proportion.

Step-by-step explanation:

6 0
3 years ago
It is possible to multiply a 3 x 5 matrix and a 3 x 5 matrix.<br> O True<br> O False
oksian1 [2.3K]

Answer:

False

Step-by-step explanation:

In order to perform matrix multiplication, the number of columns in the first matrix must be the same as the number of rows in the second matrix.

In this case, the number of columns in the first matrix is 5 and the number of rows in the second column is 3 therefore they aren't the same value, hence, cannot be multiplied

5 0
3 years ago
Derrick withdrew $17 from his account on Monday. The next day he
matrenka [14]

Answer:

<em>The total change in his account is represented by the integer -5</em>

Step-by-step explanation:

<u>Operations With Integers</u>

We need to perform addition and subtraction to complete the answer to this problem.

Derrick first withdrew $17 from his account. Since the money is coming out from the account, it's considered as negative. Thus this operation is recorded as -$17.

The next day he deposited $12, which is considered as positive. This operation is considered as $12 or +$12.

The net operation or total change in the account is: -$17 + $12.

Subtracting and simplifying: -$17 + $12 = -$5

The total change in his account is represented by the integer -5

5 0
3 years ago
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