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3 years ago

9

What is the value of Negative 3 m n + 4 m minus 3 when m = 2 and n = negative 4?

1 answer:

Ivanshal [37]3 years ago

5 0

Answer:

Step-by-step explanation:

-3(2)(-4)=24

24+4(2)=32

32-3=29

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Please help due soon.

KiRa [710]

Answer:

He should give his sister 41.50 dollars.

Step-by-step explanation:

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3 years ago

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Find the area of the shape shown below.

s344n2d4d5 [400]

Answer:

12units^2

Step-by-step explanation:

Here is the areas of all the individual shapes within,

since the triangles are right triangles and half of a rectangle you can do LxW/2

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4 years ago

Prove that 1³+2³+....n³=n²(n+1)²/4. principle of mathematics induction

alex41 [277]

<h3>The Simplified Question:-</h3>

$\sf 1^3+2^3\dots n^3=\dfrac{n^2(n+1)^2}{2}$

$\\ \sf\longmapsto 1^3+2^3+\dots n^3=\left(\dfrac{n(n+1)}{2}\right)^2$

<h3>Solution:-</h3>

Let

$\\ \sf\longmapsto P(n)=1^3+2^3\dots n^3=\left(\dfrac{n(n+1)}{2}\right)^2$

For n=1

$\\ \sf\longmapsto P(1)=\left(\dfrac{1(1+1)}{2}\right)^2$

$\\ \sf\longmapsto P(1)=\left(\dfrac{1(2)}{2}\right)^2$

$\\ \sf\longmapsto P(1)=\left(\dfrac{2}{2}\right)^2$

$\\ \sf\longmapsto P(1)=(1)^2$

$\\ \bf\longmapsto P(1)=1=1^3$

Let k be any positive integer.

$\\ \sf\longmapsto P(k)= 1^3+2^3\dots k^3=\left(\dfrac{k(k+1)}{2}\right)^2$

We have to prove that p(k+1) is true.

consider

$\sf 1^3+2^3\dots k^3+(k+1)^3$

$\\ \sf\longmapsto \left(\dfrac{k(k+1)}{2}\right)^2+(k+1)^3$

$\\ \sf\longmapsto \dfrac{k^2(k+1)^2}{4}+(k+1)^3$

$\\ \sf\longmapsto \dfrac{k^2(k+1)^2+4(k+1)^3}{4}$

$\\ \sf\longmapsto \dfrac{k+1)^2\left\{k^2+4k+4\right\}}{4}$

$\\ \sf\longmapsto \dfrac{(k+1)^2(k+2)^2}{4}$

$\\ \sf\longmapsto \dfrac{(k+1)^2(k+1+1)^2}{4}$

$\\ \sf\longmapsto \left(\dfrac{(k+1)(k+1+1)}{2}\right)^2$

$\\ \sf\longmapsto (1^3+2^3+3^3\dots k^3)+(k+1)^3$

Thus P(k+1) is true whenever P(k) is true.

Hence by the Principal of mathematical induction statement P(n) is true for $\bf n\epsilon N.$

Note:-

We can solve without simplifying the Question .I did it for clear steps and understanding .

<h3>Learn More:-</h3>

brainly.com/question/13253046?

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6 0

3 years ago

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Solve the proportion. Show you work. 3/x+1=5/11

AlexFokin [52]

Answer:

x = $\frac{28}{5}$

Step-by-step explanation:

given

$\frac{3}{x+1}$ = $\frac{5}{11}$ ( cross- multiply )

5(x + 1) = 33

5x + 5 = 33 ( subtract 5 from both sides )

5x = 28 ( divide both sides by 5 )

x = $\frac{28}{5}$

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4 years ago

6/5 B + g^2 = d <br> B = ?

Ber [7]

What kind of math is this

8 0

3 years ago