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3 years ago

12

A rectangular picture measuring 4 in. by 8 in. is surrounded by a frame with uniform width x. Write a quadratic function in stan

dard form to show the combined area of the picture and frame.

1 answer:

cluponka [151]3 years ago

8 0

Standard form is f(x)=ax²+bx+c

A=(x+4)*(x+8)
=x²+4x+8x+32
=x²+12x+32=f(x)

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Help plssss I’m actually so confused

Degger [83]

Answer:

A) 2p

(because DC is twice the size of AB. Hence why they're in the ratio of 2:1)

B) p+q

(Start from B, go backs against the arrow to the left and get - p, then + q and + 2p. Simplify -p+q+2p)

Hope this helps!

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2 years ago

Given that FISH is a square and FI = 2 centimeters, find the following measures. Mark your diagram first!

Schach [20]

Answer:

Each side of a square is equal. Thus the distance between 'I' and 'S'=<em> 2cm.</em>

Step-by-step explanation:

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2 years ago

Karen is waiting for a pot of soup to cool

Studentka2010 [4]

Answer:

It went down 5.5°C a minute.

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4 0

3 years ago

The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. T

Galina-37 [17]

Answer:

The answer is "16, 43, and 96".

Step-by-step explanation:

Given:

$\sigma = 0.20\\\\c = 95\% = 0.95\\\\\therefore \alpha = 1- c = 1- 0.95 = 0.05\\\\\therefore \frac{\alpha}{2} = 0.025\\\\$

Using Z table:

$\therefore Z_{\frac{\alpha}{2}} = 1.96\\\\$

For point a:

$E = 0.10\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2$

$= (\frac{(1.96\times 0.20)}{0.10})^2\\\\= 15.3664 \approx 16$

so, The Sample size (n) = 16

For point b:

$E = 0.06\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2$

$= (\frac{(1.96\times 0.20)}{0.06})^2\\\\= 42.6844444444\approx 43$

For point c:

$E = 0.04\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2$

$= (\frac{(1.96\times 0.20)}{0.04})^2\\\\= 96.04\approx 96$

7 0

3 years ago

Fourteen is 28% of what number?<br> A. 7<br> B. 50<br> C. 14<br> D. 42

statuscvo [17]

Fourteen is 28% of B) 50

Why, you ask? Let's see -

Let the unknown number be n, for 'number'.

Let's put the unknown n next to 28%

.28n% = 14

(Think, what times .28 equals 14? Look below to find out! ↓ )

Let's now do the opposite of the actual equation - divide the two known numbers by each other -

.28 ÷ 14 = 50

When in doubt, check your answer:

To check this, we would do the opposite - Multiplication

Multiply .28 by 50 to get 14 (At least you should get 14)

.28 × 50 DOES EQUAL 14! We were right! :D

↑ ↑ ↑ Hope this helps! :D

4 0

3 years ago

Read 2 more answers