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2 years ago

96.

Mathematics

1 answer:

grin007 [14]2 years ago

4 0

3.5x+2y=total. X is adults. Y is children
(3.5 times 2) plus (2 times 3). 7 plus 6. Total is 13$

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.3 3. True or False? For any integer m, 2m(3m + 2) is divisible by 4. Explain to get credit.

Sav [38]

Answer with explanation:

We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.

We will prove this result with the help of Mathematical Induction.

⇒For Positive Integers

For, m=1

L HS=2×1×(3×1+2)

=2×(5)

=10

It is not divisible by 4.

⇒For Negative Integers

For, m= -1

L HS=2×(-1)×[3×(-1)+2]

=-2×(-3+2)

= (-2)× (-1)

It is not divisible by 4.

False Statement.

4 0

3 years ago

If a work group consistently achieves 80 % of its quarterly goals and the work group generally has 25 objectives per quarter how

arlik [135]

20 objectives per quarter.

6 0

2 years ago

Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?

sergejj [24]

Answer:

No, it isn't.

Step-by-step explanation:

We have $V=IR^{2}$ and let $H$ be the subset of $V$ of all points on the line

$4x+3y=12$

We need to find if $H$ is a subspace of the vector space $V$ .

In $IR^{2}$ all the possibilities for own subspace of the vector space $IR^{2}$ are :

$IR^{2}$ itself.

The vector $0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]$

All lines in $IR^{2}$ that passes through the origin ( $0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]$ )

We know that $H$ is the subset of $IR^{2}$ of all points on the line $4x+3y=12$

If we look at the equation, the point $\left[\begin{array}{c}0&0\end{array}\right]$ doesn't verify it because :

$4x+3y=12\\4(0)+3(0)=12\\0=12$

Which is an absurd. Therefore, $H$ doesn't contain the origin (and $H$ is a line in $IR^{2}$ ). Finally, it can't be a vector space of $V=IR^{2}$

8 0

2 years ago

label the Venn diagram with number categories. Then classify each of the given numbers by written it in an appropriate place on

DiKsa [7]

I need to see the diagram in order to answer your question.

7 0

3 years ago

Joyce saved $70 on an item that was 75 % % off. What was the original price?

SashulF [63]

if Joyce saved $70

at 75% off, Joyce saved 25%

so, $70 is 25%

To find the total price which is 100%, multiply $70 by 4 ( because 25% x 4 = 100% )

so the original price is $70 x 4 = $280

4 0

3 years ago