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strojnjashka [21]

3 years ago

13

In 2004, 50 out of every 100 drivers at the National Trucking Company passed their driver's license exam on their first try. In

2005, 62 of the drivers passed on their first attempt. What was the percent increase in the passing rate?

1 answer:

WARRIOR [948]3 years ago

3 0

Answer:

I believe it's a 12 percent increase.

Step-by-step explanation:

50/100= 50%

62/100= 62%

62%-50%=12%

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. Mallorie has $5.50 in her wallet. If this is 10% of her monthly allowance, what is her

Zinaida [17]

Answer:

Hello!!

If Mallorie has $5.50 in her wallet. If this is 10% of her monthly allowance, her monthly allowance is $50.

Step-by-step explanation:

$5.50$ ÷ $10=0.55$ round decimal two places to the right

Hope this helps!!

7 0

3 years ago

Ivan plans to reorganize the music on his MP3 players . He has 9 1/3 music of rock and hip-hop . After the change he is planning

faltersainse [42]

9 1/3 = 28/3 --> 140/15
2 4/5 = 14/5 --> 42/15

9 1/3 > 2 4/5
Therefor Ivan is planning on removing rock and hip-hop music from his MP3 players

4 0

3 years ago

Pleaaase help me, it'll give you 50 points and i'll mark you as brainliest or whatever it's called.

gogolik [260]

Answer:

3/16

Step-by-step explanation:

5 0

3 years ago

Which function has a vertex on the y-axis? f(x) = (x – 2)2 f(x) = x(x + 2) f(x) = (x – 2)(x + 2) f(x) = (x + 1)(x – 2)

strojnjashka [21]

we know that

If the vertex is on the y-axis, then the x-coordinate of the vertex is equal to zero

we are going to verify the vertex of each one of the functions to determine the solution

Remember that

The equation in vertex form of a vertical parabola is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex

if $a>0$ -------> the parabola open upward (vertex is a minimum)

if $a$ -------> the parabola open downward (vertex is a maximun)

<u>case A)</u> $f(x)=(x-2)^{2}$

This is a vertical parabola open upward

the vertex is the point $(2,0)$

therefore

The function $f(x)=(x-2)^{2}$ does not have a vertex on the y-axis

<u>case B)</u> $f(x)=x(x+2)$

$f(x)=x(x+2)=x^{2}+2x$

convert to vertex form

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)+1=x^{2}+2x+1$

Rewrite as perfect squares

$f(x)+1=(x+1)^{2}$

$f(x)=(x+1)^{2}-1$

the vertex is the point $(-1,-1)$

therefore

The function $f(x)=x(x+2)$ does not have a vertex on the y-axis

<u>case C)</u> $f(x)=(x-2)(x+2)$

$f(x)=(x-2)(x+2)=x^{2}-2^{2}$

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

the vertex is the point $(0,-4)$

The x-coordinate of the vertex is equal to zero

therefore

The function $f(x)=(x-2)(x+2)$ has a vertex on the y-axis

<u>case D)</u> $f(x)=(x+1)(x-2)$

$f(x)=(x+1)(x-2)\\ \\f(x)= x^{2}-2x+x-2 \\ \\f(x)= x^{2} -x-2$

convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+2= x^{2} -x$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)+2+0.25= x^{2} -x+0.25$

$f(x)+2.25= x^{2} -x+0.25$

Rewrite as perfect squares

$f(x)+2.25= (x-0.50)^{2}$

$f(x)=(x-0.50)^{2}-2.25$

the vertex is the point $(0.5,-2.25)$

therefore

The function $f(x)=(x+1)(x-2)$ does not have a vertex on the y-axis

<u>the answer is</u>

$f(x)=(x-2)(x+2)$

6 0

3 years ago

Read 2 more answers

PSEG Long Island charges its residential customers a little monthly service charge plus an energy charge based on the amount of

german

Using linear function concepts, it is found that:

a) It costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.
b) f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

------------------------------

A <em>linear function </em>has the format given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
b is the y-intercept, which is the value of y when x = 0.

The equation for the cost of h kilowatt hours (kWh) of electricity used in excess of 250 kWh is of:

$C = f(h) = 37.6 + 0.1h$

Item a:

The slope is of $m = 0.1$ , which means that it costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.

Item b:

$f(90) = 37.6 + 0.1(90) = 37.6 + 9 = 46.6$

250 + 90 = 340.

f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

A similar problem is given at brainly.com/question/24808124

8 0

2 years ago