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3 years ago

Combine like terms to simplify the expression

Mathematics

2 answers:

nignag [31]3 years ago

5 0

1/2 K - 3/5 is the answer. You’re welcome and Brainliest would be appreciated :)

melisa1 [442]3 years ago

3 0

Answer:

$\frac{1}{2} k-\frac{3}{5}$

Step-by-step explanation:

Step 1: Define expression

$\frac{2}{5} k-\frac{3}{5} +\frac{1}{10} k$

Step 2: Change denominators to like terms

$\frac{4}{10} k-\frac{3}{5} +\frac{1}{10} k$

Step 3: Combine like terms

$\frac{5}{10} k-\frac{3}{5}$

Step 4: Simplify

$\frac{1}{2} k-\frac{3}{5}$

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3 years ago

Which answer is not a part of mathematical proofs?

Alex787 [66]

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7 0

3 years ago

2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.

Andrei [34K]

Let $x$ and $x+1$ be these consecutive integers. For some base $b$ , we can write

$(x_{10})^2=220_b=2b^2+2b$

$((x+1)_{10})^2=251_b=2b^2+5b+1$

$x^2=2b^2+2b$

then

$x^2+1=2b^2+2b+1$

Now,

$x^2+2x+1=2b^2+5b+1$

$2x+2b^2+2b+1=2b^2+5b+1$

$\implies2x=3b$

Squaring both sides gives

$4x^2=9b^2$

and so

$4(2b^2+2b)=9b^2$

$\implies8b^2+8b=9b^2$

$\implies b^2-8b=0\implies\boxed{b=8}$

(because the base has to be non-zero)

3 0

3 years ago

F(x) = 4x2 + 1 and g(x) = x2 - 5, find (f+ g)(x)

inn [45]

Answer:

Step-by-step explanation:

(f + g)x translates into a more readable f(x) + g(x) so all you do is

f(x) + g(x) = 4x^2 + 1 + x^2 - 5

f(x) + g(x) = 5x^2 - 4

3 0

3 years ago

Read 2 more answers

jekas [21]

Answer:

b= -8

Step-by-step explanation:

we have: 3y +12 = 6x <=> y + 4 = 2x <=> y= 2x - 4

=> 2y=4x + b

<=> 2(2x-4) = 4x +b

<=> 4x - 8= 4x +b

<=> b = -8

6 0

3 years ago

Read 2 more answers