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Oksanka [162]
3 years ago
11

Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? 4x + 3 (is presented

next to a square street sign)
A. 16x2 + 12x + 9
B. 16x2 + 24x + 9
C. 8x2 + 9
D. 8x2 + 6
Mathematics
1 answer:
ELEN [110]3 years ago
7 0
Ans: The correct Option is (B) 16x^2 + 24x + 9

Explanation:

Since,

Area = y^2

Where
y = 4x+3

So
Area = (4x+3)^2
Area = 16x^2 + 24x + 9
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Jenny made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $85?​
Sever21 [200]

Answer: Jenny would have to work 5 hours to get $85

Step-by-step explanation:

Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5

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2 years ago
Help me, save me!!!!!!!!
Anni [7]

Answer:

D

Step-by-step explanation:

Open circle means less than or greater than, and the dot is on -5, so the answer is greater than -5

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3 years ago
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Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y
ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; (x^2-4)^2y'' + (x + 2)y' + 7y = 0

The above equation can be better expressed as:

y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

p(x) = \dfrac{(x+2)}{(x^2-4)^2} \

p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \

p(x) = \dfrac{1}{(x+2)(x-2)^2}

Also;

q(x) = \dfrac{7}{(x^2-4)^2}

q(x) = \dfrac{7}{(x+2)^2(x-2)^2}

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\lim \limits_{x \to-2} (x+ 2) p(x) =  \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{1}{(x-2)^2}

\implies \dfrac{1}{16}

\lim \limits_{x \to-2} (x+ 2)^2 q(x) =  \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{7}{(x-2)^2}

\implies \dfrac{7}{16}

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

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3 years ago
If two ratio are equal they form a ___. I need help IMMEDIATELY. I am going to my grandmas and I need to finish quickly.
Alex17521 [72]

two ratios are equal and form a proportion.

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2 years ago
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Please help i really need it really much
Zanzabum

Answer:

1.5

Step-by-step explanation:

Assuming that you mean that Simon is scaling Logan's build, the scale factor is 1.5.

To find this, you divide Simon's fort height by Logans.

7.5/5 = 1.5.

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