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2 years ago

(9x^2+5x^2+11x)+(-2x^3+9x-8x^2)

Mathematics

1 answer:

lidiya [134]2 years ago

6 0

Answer:

First step is to remove those unnecessary brackets :

$\longrightarrow\tt \: 9 {x}^{3} + 5 {x}^{2} + 11x - 2 {x}^{3} + 9x - 8 {x}^{2}$

Combine the like terms :

$\longrightarrow \tt \: 9 {x}^{3} - 2 {x}^{3} + 5 {x}^{2} - 8 {x}^{2} + 11x + 9x$

$\longrightarrow \boxed{\tt \: 7 {x}^{3} - 3 {x}^{2} + 20x}$

Our final answer is 7x^3 - 3x^2 + 20x .

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Sketch the graph of y =sine3x

IgorLugansk [536]

The graph of $\mathbf{y=\sin{3x}}$ is given by,

Here given the function is $y=\sin{3x}$

when $x=0\Rightarrow y=\sin{3\times 0}=\sin0=0$ , then it passes through the origin (0,0).

When $x=\frac{\pi}{6}\Rightarrow y=\sin{3\times\frac{\pi}{6}}=\sin\frac{\pi}{2}=1$

Since we know that, $-1\leq\sin{x}\leq1,\forall x$ , then the function has maximum height at $x=\frac{\pi}{6}$ .

Again when $x=\frac{\pi}{3}\Rightarrow y=\sin{(3\times\frac{\pi}{3})}=\sin\pi=0$ , again the function is 0.

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1 year ago

From 5miles to 16miles

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From 5 miles to 16 miles in 11 miles in between.

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2 years ago

X + x/3 = 4/9 solve for x!!

Lorico [155]

Answer:

x=1/3

Step-by-step explanation:

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1 year ago

Triangle RST is shown. What is the y-coordinate of the final image of vertex T after the triangle is reflected over the x-axis f

gavmur [86]

Answer:

R¹(-7, -3) , S¹(-2, -1), T¹(-5, 4)

Step-by-step explanation:

Step(i):-

From the graph, the points are R(-4,5), S(1,3),T(-2,-2)

First, the points are reflected over the x-axis then transform in to

(x,y)→(x,-y)

R(-4,5)→R¹(-4,-5)

S(1,3)→S¹(1,-3)

T(-2,-2)→T¹(-2,2)

Step(ii):-

Next, The points are shifted to 3 units left then the transform

(x,y)→ (x -3 ,y)

R¹(-4,-5)→ R¹(-4-3, -5) → R¹(-7, -5)

S¹(1,-3) → S¹(1-3, -3) → S¹(-2, -3)

T¹(-2,2) → T¹(-2-3, 2)→ T¹(-5, 2)

Step(iii):-

Now again the points are shifted to '2' units up then transform to

(x,y) )→ (x ,y+2)

R¹(-7, -5+2) → R¹(-7, -3)

S¹(-2, -3+2) → S¹(-2, -1)

T¹(-5, 2+2) → T¹(-5, 4)

4 0

3 years ago

Apply the distributive property to factor out the greatest common factor. 35+50=35+50=?

a_sh-v [17]

Answer with explanation:

The given mathematical expression to solve : $35+50$

The prime factorization of each term can be written as follows :-

$35=5\times7$

$50=5\times5\times2$

We can see that the greatest common factor of both the terms = $5$

So we rewrite the given expression as :-

$5\times7+5\times10$

By using distributive property :-

$ab+ac=a(b+c)$ , we have

$=5(7+10)=5(17)=85$

3 0

3 years ago