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3 years ago

The sizes of four cell phone displays are 5.6 inches, 53

Mathematics

1 answer:

swat323 years ago

3 0

Answer: The longest display is 47.75 inches longer than the shortest display.

Step-by-step explanation:

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f of x equals 4 x over quantity x squared minus 16. Show all work to identify the asymptotes and zero of the function.

yuradex [85]

Given:

The function is

$f(x)=\dfrac{4x}{x^2-16}$

To find:

The asymptotes and zero of the function.

Solution:

We have,

$f(x)=\dfrac{4x}{x^2-16}$

For zeroes, f(x)=0.

$\dfrac{4x}{x^2-16}=0$

$4x=0$

$x=0$

Therefore, zero of the function is 0.

For vertical asymptote equate the denominator of the function equal to 0.

$x^2-16=0$

$x^2=16$

Taking square root on both sides, we get

$x=\pm \sqrt{16}$

$x=\pm 4$

So, vertical asymptotes are x=-4 and x=4.

Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0.

8 0

3 years ago

Sue is collecting eggs and she wants to sell them in egg cartons that hold a dozen eggs. If she collects 75 eggs, how many full

Setler [38]

Answer:

she would have 6 egg cartons to sell and 3 eggs left over (:

Step-by-step explanation:

75 divided by 12 equals 6.25

12 times 6 equals 72

75 minus 72 equals 3

egg cartons- 6

left over eggs-3

Hope this helps (:

4 0

3 years ago

A red kangaroo hops at an average speed of 20km per hour. How fast is this in meters per minute?

masya89 [10]

Answer:

333.3 meters per minute

Step-by-step explanation:

The best way to solve this problem is using dimensional anaysis. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.

$\frac{20km}{1hr}$

We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.

$= \frac{20km}{1hr} *\frac{1000m}{1km} ...$

We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.

$= \frac{20km}{1hr} *\frac{1000m}{1km} * \frac{1hr}{60min}$

We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.

= (20*1000*1)/(1*1*60) m/min

= 333.3 meters per minute

8 0

3 years ago

Meredith invested $5,500 into an account that earned 5% interest per year. When she cashed out the investment to use it as a dow

shtirl [24]

Answer:

Step-by-step explanation:

Using I = PRT/100

where P = The principal amount invested = $5500

R = Rate of Interest =5%

T = Time (in years)

I = Interest = $7,739.05 - $5500 = $2239.05

Substituting the above values in the formula

I = PRT/100 becomes

2239.05 = 7,739.05 * 5 * t / 100 -------- Multiply 100 to both sides

2239.05 * 100 = 100 * 7739.05 * 5 * t / 100

223905 = 7739.05 * 5 * t

223905 = 38695.25t

Divide both sides by 38695.25t

223905/38695.25 = t

5.786369 = t

T = 5.79 (approximated)

8 0

4 years ago

Ben and Corinne are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites.

Tanya [424]

Answer:

Ben

Step-by-step explanation:

Ben filled

$25 \div 20$

Which is 1 minute and 25 seconds

Corrine filled

$27 \div 24$

Which is 1.125 so about 1 minute and 13 seconds

5 0

3 years ago

Read 2 more answers