Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. The function e(h) represents her earnings each week . Describe an appropriate domain of this function

[tex]3s^2+2=-62\ \ \ \ |-2\\\\3s^2=-64\ \ \ \ |:3\\\\s^2=-\dfrac{64}{3} < 0\\\\NO\ REAL\ SOLUTIONS\\\text{the equation has complex solutions}\\\\s^2=-\dfrac{64}{3}\to s=\pm\sqrt{-\dfrac{64}{3}}=\pm\sqrt{\dfrac{64}{3}}\cdot\sqrt{-1}=\pm\dfrac{\sqrt{64}}{\sqrt3}\cdot i=\pm\dfrac{8}{\sqrt3}i\\\\=\pm\dfrac{8\cdot\sqrt3}{\sqrt3\cdot\sqrt3}i=\pm\dfrac{8\sqrt3}{3}i[/tex]

your answer would be a

y+5≥4

use this site next time

translate each statement into mathematical language

length is nine inches less than twice width.    L = 2W - 9

perimeter is 84 inches                                   2L +2W = 84

Substitute the expression for L (2W-9) for L in the second equation resulting in the follwing

2(2W-9) + 2W = 84

4W - 18 + 2W = 84

(4W+2W) = 84+18  

6W =  102

W = 102/6 = 51/3

L = 2(51/3) - 9

= L= 17-9

L=6

Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

Explanation:

Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.

It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,

[tex]3x=y[/tex] ....(1)

The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of [tex](x+y)[/tex] miles per minute.

[tex]Distance=Speed\times Time[/tex]

The distance between both train in 15 minutes is represented by [tex]15(x+y)[/tex].

According to the given information the distance between trains is 30 miles in 15 minutes.

[tex]15(x+y)=30[/tex]

[tex]x+y=2[/tex]

Use equation (1) and put [tex]y=3x[/tex]

[tex]x+3x=2[/tex]

[tex]4x=2[/tex]

[tex]x=0.5[/tex]

Put this value in equation (1), to find the value of y.

[tex]y=3(0.5)[/tex]

[tex]y=1.5[/tex]

Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

Answer:

12/40

Step-by-step explanation:

There are 12/52 white horses.

there are 40/52 black horses.

ps.

There is no such thing as a white horse, only gray lol.

We know that vertically opposite angles are equal

Therefore, 6x-7 = 4x +23

6x -4x = 23 + 7

2x = 30

X = 30/2 = 15

Angle ABC = 6 (15) -7 =90-7 =81

Linear equations are an equation between two variables that makes a straight line on a graph. You need to find the value of x or y. You can usually substitute numbers in for x or y until you get what they're equaling.

A) x=1/2

You can get this by first finding the like terms. In this case it would look like 4x-2=0. Then you'd move the constant to the right to get 4x=2. Then just divide both sides by 4 to get 1/2.

Hope this helped! :)

Answer:

6 cm

Step-by-step explanation:

Given: D is the midpoint of the segment AC and C is the midpoint of segment AB.

To Find: length of the segment BC , if AD = 3 cm.

Solution:

In line Segment AC,

D is the midpoint of Segment AC

therefore,

[tex]\text{AC}=2\text{AD}[/tex]

In line segment AB,

C is the midpoint of AB,

Therefore,

[tex]\text{BC}=\text{AC}[/tex]

putting the value of AD,

[tex]\text{AC}=2\times\text{AD}[/tex]

[tex]\text{AC}=2\times3[/tex]

[tex]\text{AC}=6[/tex] [tex]\text{cm}[/tex]

as,

[tex]\text{BC}=\text{AC}[/tex]

Length of segment BC is [tex]6[/tex] [tex]\text{cm}[/tex]

The length of segment BC is 6 cm.

The given parameters;

To find:

A sketch of the given problem is presented below;

A-----------------D--------------------C---------------------------------B

From this sketch above the length of segment BC is calculated as follows;

length AC =  length BC

AD is half of AC = 3cm

AC = 2 x 3cm = 6cm

Since AC = BC, BC = 6 cm

Thus, the length of segment BC is 6 cm.

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If we put a negative sign in front of our function, it will flip the function over the x-axis.

Answer:

multiplying the function by -1.

Step-by-step explanation:

20$ of interest 100 divided by 5= 20$$$$

Find the cost for one ticket for the science center.

36.75 ÷ 3 = 12.25

Multiply the product with 12 to get the cost of 12 tickets.

12.25 × 12 = 147

Find the cost of 1 zoo ticket.

51 ÷ 4 = 12.75

Find the cost of 12 tickets by multiplying the product and 12

12.75 × 12 = $153

12 Science Center Tickets cost $147

12 zoo tickets cost $153

The Zoo costs more than the Science Center.

To find out how much more the Zoo costed, subtract 147 from 153.

153 - 147 = 6

The zoo only costs $6 more for 12 students.

So, you're answers are Zoo and $6

Personal finance skills are an individual's way of financing his or her accounts keeping in mind the most significant aspects like -money, property and investment. These skills improve an individual's quality of life.

Hence, a person who does not know these skills gradually result in the following -

1. higher tax rates -  A person without personal finance skills will not be able to save his taxes. He does not know about various investment options that can save his tax.

2. less preparation for emergencies - A person lacking these skills will not timely manage his accounts and if an emergency occurs, he might not have money to surpass that emergency.

3. increased long-term challenges - A person who does not invest timely and in the right things can end up not earning any money from these investments. Hence, he will not be prepared for further challenges that will come once he ages. He cannot have enough money by the time he retires.

Have a nice day :)

Answer:

The unit rate for the price to the length of the fabric will be $8 per meter.

Step-by-step explanation:

The two points on the graph of the line are:  (1, 8) and (3, 24)

For finding the unit rate for the price to the length of the fabric, we just need to find the slope of that line.

Formula for finding the slope is:  [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] , where [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] are two given points.

Here,  [tex](x_{1}, y_{1})=(1,8)[/tex] and [tex](x_{2}, y_{2})=(3, 24)[/tex]

So, the slope of the line will be:  [tex]m= \frac{24-8}{3-1}= \frac{16}{2}= 8[/tex]

Thus, the unit rate for the price to the length of the fabric will be $8 per meter.

The unit rate for the price to the length of the fabric is $8/m

from the question, we have the following parameters that can be used in our computation:

The graph

The unit rate is calculated as

Unit rate = Change in y/x

using the above as a guide, we have the following:

Unit rate = (24 - 8)/(3 - 1)

Evaluate

Unit rate = 8

Hence, the unit rate is $8/m

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p = 0 hope this helps

1/2 x 2/3 x 3/4 = 1/4

(Sorry, I did the math wrong. I meant 1/4)

[tex]\frac{1}{2}[/tex] x [tex]\frac{2}{3}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{4}[/tex]

Hope this helps you

-AaronWiseIsBae

Answer:

your answer is 12

Step-by-step explanation:

5+3=8

8 x 5 / 2 - 8

5 x 8=40

40 / 2 - 8

40 / 2=20

20 - 8=12

a+b+c=26

a=b+3

c=2b-1

b+3+b+2b-1=26

4b=24

b=6 cm

a=6+3=9cm

c=2*6-1=11 cm

side *a* is 9 cm

side *b* is 6 cm

side *c* is 11 cm

To find the lengths of the sides of the triangle, we set up an equation using the given perimeter and the relationships between the sides. Solving the equation gives us the length of each side.

To find the lengths of the sides of the triangle when given the perimeter and relationships between the lengths of the sides, we can use algebra to set up a system of equations. Let's denote side b as x centimeters. According to the problem, side a is 3 centimeters longer than side b, so a can be represented as x + 3 centimeters. Side c is 1 centimeter shorter than twice side b, which gives us c as 2x - 1 centimeters.

The perimeter of the triangle is the sum of its sides, so:

x + (x + 3) + (2x - 1) = 26

Solving this equation gives us x, from which we can determine the lengths of sides a and c as well.

Answer: the answer is easy enough

Ur answer is 1,229

Step-by-step explanation:

Ok it’s simple u start with 1196 then u just need to add add and subtract as so

Monday: 1196+ 18=1,214

Tuesday: 1,214+31=1,245

Wednesday: 1,245-5=1,240

Thursday: 1,240+27=1,267

Friday: 1,267-38=1,229

So therefore it is 1,229

Answer: It ended at 1229 on Friday.

Step-by-step explanation:

Given : During one week, the stock market did the following: Monday rose 18 points, Tuesday rose 31 points, Wednesday dropped 5 points, Thursday rose 27 points and Friday dropped 38 points.

In integers , we use (+) for rise in quantity and (-) for drop in quantity.

If it started out at 1196 on Monday, then

On Friday = 1196 +18 +31-5+27-38 = 1229   [we use (+) for rise in quantity and (-) for drop ]

Hence, it ended at 1229 on Friday.

[tex]Domain:\\\\x-5\geq0\to x\geq5\\\\\sqrt{x-5}+7=11\ \ \ \ \ |-7\\\\\sqrt{x-5}=4\ \ \ \ \ |^2\\\\(\sqrt{x-5})^2=4^2\to x-5=16\ \ \ \ \ |+5\\\\\boxed{x=21}\in D\\\\[/tex]

We have the following equation:

[tex]\sqrt{x-5} +7=11[/tex]

To solve this, we first need to subtract the 7 on both sides of the equation.

[tex]\sqrt{x-5} +7-7=11-7[/tex]

The equation then becomes:

[tex]\sqrt{x-5} =4[/tex]

Now we must square both sides of the equation to get rid of the radical/square root symbol.

[tex](\sqrt{x-5})^2 =(4)^2[/tex]

Now we have a normal one step equation.

[tex]x-5=16[/tex]

Add 5 on both sides to find x.

[tex]x-5+5=16+5[/tex]

x=21

To see if this solution is true, we must substitute 21 back into the original equation.

[tex]\sqrt{21-5} +7=11[/tex]

[tex]\sqrt{16} +7=11[/tex]

[tex]4+7=11[/tex]

11=11

Therefore, the solution is true.

The expression which represents the product of 15 and a number all divided by two is (15x)/2.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given,

The product of 15 and a number are all divided by two.

Suppose that number is x.

Product of 15 and x = 15 × x = 15x

It is divided by 2 ⇒ (15x)/2

Hence "The expression which represents the product of 15 and a number all divided by two is (15x)/2".

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Final answer:

The four points on the line with a slope of 0.2 and y-intercept of 0.3 are (0, 0.3), (1, 0.5), (2, 0.7), and (3, 0.9).

Explanation:

The equation of the line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 0.2 and the y-intercept is 0.3. To find four points on the line, we can choose any x-values and substitute them into the equation to find the corresponding y-values.

For example, let's choose x = 0, 1, 2, and 3:

When x = 0, y = 0.3

When x = 1, y = 0.5

When x = 2, y = 0.7

When x = 3, y = 0.9

So, the four points on the line with a slope of 0.2 and y-intercept of 0.3 are (0, 0.3), (1, 0.5), (2, 0.7), and (3, 0.9).

factor out the five

5(x^2+5)   D

f(a) = –2a2 – 5a + 4

f(–3)

Replace a with -3:

-2(-3)^2 -5(-3) +4=

-2(9) +15 +4 =

-18 + 19 = 1

It's not zero. Zero can only be produced in adding or subtracting when two equal numbers with opposite signs are added or subtracted. -4 + 4 would give 0.  Really tricky things like - 5 - (- 5) would be 0 because the 2 minus signs would give a plus.

-5 + 5 = 0

It's not positive either. Think money. If you owe someone 5 dollars and you put another 6 dollars on a credit card, your net worth isn't going up into the positive. It going down further into the negative. You wouldn't be alone. The US government does this every day. -5 - 6 = - 11

So  - 1/3 - 4/5 is  negative.

The answer is (though you haven't asked for it)

- 5/15 - 12/15 = - 17/15

Answer:

49 seconds.

Step-by-step explanation:

We have been given that an elevator ascends at a rate of 29.6 feet per second. A building is 1,450 feet tall. We are asked to find the time it will take for the elevator to travel from the ground floor to the roof.

To find the time taken by elevator to reach the top of the building, we will use rate formula.

[tex]\text{Time}=\frac{\text{Distance}}{\text{Rate}}[/tex]

[tex]\text{Time}=\frac{\text{1450 ft}}{\frac{\text{29.6 feet}}{\text{second}}}[/tex]

[tex]\text{Time}=\frac{\text{1450 ft}}{\text{29.6 feet}}\times\text{second}[/tex]

[tex]\text{Time}=48.986486\times\text{second}[/tex]

[tex]\text{Time}\approx 49\text{ seconds}[/tex]

Therefore, it will take approximately 49 seconds for the elevator to travel from the ground floor to the roof.

Answer:

X= -2

Step-by-step explanation:

I'm sorry if my addition signs looks like division signs

5X + 2 ( X - 4 ) = 5X + X - 10

5X + 2X - 8 = 5X + X - 10

7X - 8 = 6X - 10

add 8 on both sides

7X = 6X - 2

subtract 6X on both sides

X= -2

Answer:

-2

Step-by-step explanation:

I took the test and got it wright.