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3 years ago

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Mathematics

1 answer:

AleksandrR [38]3 years ago

5 0

Answer:

80%

Step-by-step explanation:

Please consider the complete question:

Micah is preparing for a piano recital. He practices for 50 minutes on Monday and 90 minutes on Wednesday. By how much did she increase the time she practiced each day?

We will use percent change formula to solve our given problem.

$\text{Percent change}=\frac{\text{Final value}-\text{Initial value}}{\text{Initial value}}\times 100\%$

Upon substituting our given values, we will get:

$\text{Percent change}=\frac{90-50}{50}\times 100\%$

$\text{Percent change}=\frac{40}{1}\times 2\%$

$\text{Percent change}=80\%$

Therefore, Micah had increased the time by 80%.

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HELP!! please explain how you got the answer too.

nydimaria [60]

Answer:

Point H does lie on the graph y = 4.6x - 7

Step-by-step explanation:

Step 1: Define

y = 4.6x - 7

H(0, -7)

Step 2: Substitute, Evaluate, and Check

-7 = 4.6(0) - 7

-7 = 0 - 7

-7 = -7

4 0

3 years ago

Read 2 more answers

I need help answering this question..

Irina-Kira [14]

Answer:

$x=3$

Step-by-step explanation:

Given: $15=7x-6$

To solve this equation, we need to isolate $x$ on one side of the equation algebraically. I see that we have like terms, but they are on opposite sides of the equal sign. Let's add $6$ to both sides.

$21=7x$

To isolate x, divide both sides by 7.

$x=3$

7 0

3 years ago

A 6000-seat theater has tickets for sale at $25 and $40. How many tickets should be sold at each price for a sellout performa

Lena [83]

Step-by-step explanation:

Let x be the amount of tickets sold for $25 and y be the amount of tickets sold for $40, since there are 6000 seats theatre then;

x+y = 6000 .............. 1

If x tickets cost $25 and y tickets are sold for $40 with total revenue of $174,000, then;

25x + 40y = 174,000................ 2

From 1, x = 6000-y ............ 3

Substitute equation 3 into 2:

25x + 40y = 174,000.

25(6000-y) + 40y = 174,000

150,000-25y + 40y = 174,000

150,000+15y = 174,000

15y = 174,000-150,000

15y = 24,000

y = 24,000/15

y = 1600

Substitute y = 1600 into equation 3:

x = 6000-y

x = 6000-1600

x = 4400

<em>Hence 4400 $25 tickets and 1600 $40 tickets must be sold to generate a revenue of $174,000</em>

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20-%20%5Cfrac%7Bx%5E%7B2%7D-4%20%7D%7Bx%5E%7B4%7D%20%2Bx%5E%7B3%7D%20-4x%5E%7B2%7D-4%

Llana [10]

a) The given function is

$f(x)=\frac{x^2-4}{x^4+x^3-4x^2-4}$

The domain refers to all values of x for which the function is defined.

The function is defined for

$x^4+x^3-4x^2-4\ne0$

This implies that;

$x\ne -2.69,x\ne 1.83$

b) The vertical asymptotes are x-values that makes the function undefined.

To find the vertical asymptote, equate the denominator to zero and solve for x.

$x^4+x^3-4x^2-4=0$

This implies that;

$x= -2.69,x=1.83$

c) The roots are the x-intercepts of the graph.

To find the roots, we equate the function to zero and solve for x.

$\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

$\Rightarrow x^2-4=0$

$x^2=4$

$x=\pm \sqrt{4}$

$x=\pm2$

The roots are $x=-2,x=2$

d) The y-intercept is where the graph touches the y-axis.

To find the y-inter, we substitute;

$x=0$ into the function

$f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}$

$f(0)=\frac{-4}{-4}=1$

e) to find the horizontal asypmtote, we take limit to infinity

$lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

The horizontal asymtote is $y=0$

f) The greatest common divisor of both the numerator and the denominator is 1.

There is no common factor of the numerator and the denominator which is at least a linear factor.

Therefore the function has no holes.

g) The given function is a proper rational function.

There is no oblique asymptote.

See attachment for graph.

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3 years ago

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Advocard [28]

Given the information from the study, the average soil saturation for the county last year is 1.2 times the saturation reported for the Northwest part of the county this year.

<span>Also, the average soil saturation for the county last year is 0.25 of the saturation reported for the Southeast part of the county this year.</span>

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3 years ago