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konstantin123 [22]
3 years ago
13

I don’t understand this. The number line question the first one.

Mathematics
1 answer:
Mama L [17]3 years ago
8 0

Answer:

-2 + 5 = 3

Step-by-step explanation:

The arrow represents an addition, you start with -2 and add 5, so you end up at +3.

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Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k​
Nuetrik [128]

Answer:

\displaystyle k = \frac{34}{3}

Step-by-step explanation:

We are given the polynomial:

\displaystyle P(x) = 3x^3 - kx^2 + 5x + k

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k  \end{aligned}

This must equal zero. Hence:

\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3}  \end{aligned}

In conclusion, <em>k</em> = 34/3.

6 0
2 years ago
y'all this is due tonight but i dont understand this bc im taking higher math please help im really bad at this
Dvinal [7]
Ok so how I get taught to do this is you need to know the basics of algebra if you know that then respond and I’ll tell you how to solve that
3 0
3 years ago
Solve x − 5y = 6 for x.
pentagon [3]

Answer:

All real numbers

Step-by-step explanation:

Solve a system of equations by elimination

With the equation given, you can solve for y to get: y = \frac{1}{5}x - \frac{6}{5}

Then, substitute this value in on the equation.

x - 5(\frac{1}{5}x - \frac{6}{5}) = 6

x - x + 6 = 6

6 = 6

The solution is all real numbers

8 0
3 years ago
Expand each expression and collect like terms -3(2p-3q)
sertanlavr [38]

Answer

(-3 * 2p) - (-3 * 3q)

Step-by-step explanation:

I dunno how to explain it but that's it

7 0
2 years ago
The answer to an addition problem is called a
Maslowich
The answer to an addition problem is called a sum

Hope this helps!
3 0
3 years ago
Read 2 more answers
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