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3 years ago

8

True or False:

1 answer:

fredd [130]3 years ago

4 0

The answer is <em>False
</em><em />
<em />A Perfect Square Trinomial should be in the form of this:

$a^{2} + 2ab + b^{2}$

The following, $100x^{2} -10xy+ y^{2}$ , definitely does not follow the rule given and, therefore, is not a Perfect Square Trinomial.

I hope this helped!! Have an amazing day :)<em>
</em>

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Mr. day for students.<br>

schepotkina [342]

Answer:

yes

Step-by-step explanation:

5 0

3 years ago

15 – 5x ≤ 0 and 5x + 6 ≥–14

Ad libitum [116K]

PART 1:
Let's solve your inequality step-by-step.<span><span>15−<span>5x</span></span>≤0

</span>Step 1: Simplify both sides of the inequality.<span><span><span>−<span>5x</span></span>+15</span>≤0

</span>Step 2: Subtract 15 from both sides.<span><span><span><span>−<span>5x</span></span>+15</span>−15</span>≤<span>0−15</span></span><span><span>−<span>5x</span></span>≤<span>−15

</span></span>Step 3: Divide both sides by -5.<span><span><span>−<span>5x</span></span><span>−5</span></span>≤<span><span>−15</span><span>−5</span></span></span><span>x≥3

</span>Answer:<span>x≥<span>3

PART 2:
</span></span>Let's solve your inequality step-by-step.<span><span><span>5x</span>+6</span>≥<span>−14

</span></span>Step 1: Subtract 6 from both sides.<span><span><span><span>5x</span>+6</span>−6</span>≥<span><span>−14</span>−6</span></span><span><span>5x</span>≥<span>−20

</span></span>Step 2: Divide both sides by 5.<span><span><span>5x</span>5</span>≥<span><span>−20</span>5</span></span><span>x≥<span>−4

</span></span>Answer:<span>x≥<span>−<span>4</span></span></span>

5 0

3 years ago

Find the slope of the line passing theoufh the points (4,-7) and (-8,3)

Savatey [412]

The slope is -5/6

$\frac{-5}{6}$

6 0

3 years ago

A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materi

blondinia [14]

Answer:

The required function is: $P(x)=-3x^2+78x-360$

The price for each feeder to maximize profit should be $13.

The maximum weekly profit is $147

Step-by-step explanation:

Consider the provided information.

Part (A)

The materials for each feeder cost $6, and the society sells an average of 30 per week at a price of $10 each.

Let x be the price per feeder.

Profit = Revenue - cost

So the profit per feeder is $x-6$

If we increase then for every dollar increase, it loses 3 sales per week.

This can be written as:

$30-3(x-10)$

$30-3x+30$

$-3x+60$

Where x-10 represents the increase in price and 3 represents the decrease in sales per week.

Thus the profit will be:

$P(x)=(x-6)(-3x+60)$

$P(x)=-3x^2+78x-360$

Hence, the required function is: $P(x)=-3x^2+78x-360$

Part (B) What price should the society charge for each feeder to maximize profits? What is the maximum weekly profit?

The above function is a downward parabola so the maximum will occur at vertex.

The x coordinate of the vertex of parabola is: $x=\frac{-b}{2a}$

Substitute a=-3, b=78 and c=-360 in above.

$x=\frac{-78}{2(-3)}=13$

Hence, the price for each feeder to maximize profit should be $13.

Now substitute the value of x in $P(x)=-3x^2+78x-360$

$P(x)=-3(13)^2+78(13)-360=$147$

Hence, the maximum weekly profit is $147

5 0

3 years ago

Alja [10]

Answer:

(-∞ , -1) ∪ (4 , ∞)

Step-by-step explanation:

-1 > 3x + 2 or 3x + 2 > 14

-1> 3x + 2 or 3x + 2 > 14

-1 - 2 > 3x or 3x > 14 - 2

-3 > 3x or 3x > 12

-1 > x or x > 4

(-∞ , -1) ∪ (4 , ∞)

Hope it helps :)

Please mark my answer as the brainliest

8 0

1 year ago