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Dmitriy789 [7]
3 years ago
15

Which expression is equivalent to 4+x+x+2x+5+3+x? A.17x B.5x+12 C.4x+14 D.2x+15x

Mathematics
1 answer:
lesantik [10]3 years ago
3 0

Answer:

It's B

Step-by-step explanation:

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Graph the equation <br><br>2x + 3y = 9
jeka57 [31]

2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3

Look at the graph picture I attached

y = mx + c

c is the intercept, which is why the graph crosses the y-axis at +3

to find where it crosses the x-axis, we make y = 0

y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)

8 0
3 years ago
Show that 1n^ 3 + 2n + 3n ^2 is divisible by 2 and 3 for all positive integers n.
Dmitry_Shevchenko [17]

Prove:

Using mathemetical induction:

P(n) = n^{3}+2n+3n^{2}

for n=1

P(n)  = 1^{3}+2(1)+3(1)^{2} = 6

It is divisible by 2 and 3

Now, for n=k, n > 0

P(k) = k^{3}+2k+3k^{2}

Assuming P(k) is divisible by 2 and 3:

Now, for n=k+1:

P(k+1) = (k+1)^{3}+2(k+1)+3(k+1)^{2}

P(k+1) = k^{3}+3k^{2}+3k+1+2k+2+3k^{2}+6k+3

P(k+1) = P(k)+3(k^{2}+3k+2)

Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also

divisible by 2 and 3.

Hence, by mathematical induction, P(n) = n^{3}+2n+3n^{2} is divisible by 2 and 3 for all positive integer n.

3 0
3 years ago
Which linear function is represented by the graph?
professor190 [17]

9514 1404 393

Answer:

 f(x) = -1/2x +1

Step-by-step explanation:

The line crosses the y-axis at y=1, so the y-intercept is b=1.

The line drops 1 unit for a run of 2 to the right, so the slope is ...

  m = rise/run = -1/2

The slope-intercept form of the equation of the line is ...

  y = mx + b

  y = -1/2x + 1

In functional form, the equation is ...

  f(x) = -1/2x +1

8 0
3 years ago
I hurry i need help asap
anzhelika [568]
It is the first chart
6 0
3 years ago
Simplify the expression. (d² - d+5) - (-d² + d + 5)​
AysviL [449]

Answer: 2d^2-2d

Step-by-step explanation:

Given

\Rightarrow (d^2-d+5)-(-d^2+d+5)\\\Rightarrow (d^2+d^2)-d-d+5-5=0-2d+0\\\Rightarrow 2d^2-2d=2d(d-1)

8 0
3 years ago
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