solve the following equation. -2x+4=2(4x-3)-3(-8+4x)
x=7
x=2
x=-7
x=3

If a quadratic function has zero at x=-9, then point (-9,0) lies on the graph of quadratic function.

A line of symmetry has equation x=-3.5 that is x+3.5=0.

Use formula for the distance from point [tex](x_0,y_0)[/tex] to the line AX+By+C=0:

[tex]d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}.[/tex]

Thus,

[tex]d=\dfrac{|-9+3.5|}{\sqrt{1^2+0^2}}=5.5.[/tex]

Answer: the distance is 5.5 units.

Answer:

5.5

Step-by-step explanation:

11 15/26 + [-17 5/13] =

[tex]11 \frac{15}{26} = \frac{301}{26}[/tex]

[tex]-17 \frac{5}{13} = -\frac{226}{13}[/tex]

[tex]\frac{301}{26} - \frac{226}{13}[/tex]

To subtract two fractions the denominators should be same

Least common denominator = 26

We multiply second fraction by 2

[tex]\frac{301}{26} - \frac{452}{26}[/tex]

[tex]\frac{301-452}{26}[/tex]

[tex]\frac{-151}{26}[/tex]

A total of 336 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold then the number of adult tickets sold = 112

Let's denote the number of adult tickets sold as 'A' and the number of student tickets sold as 'S'.

We are given two pieces of information:

1. The total number of tickets sold is 336: A + S = 336.

2. The number of student tickets sold was two times the number of adult tickets sold: S = 2A.

Now, we can use the second equation to substitute the value of 'S' in terms of 'A' into the first equation:

A + 2A = 336.

Combine the like terms:

3A = 336.

Now, isolate 'A' by dividing both sides by 3:

A = 336 / 3.

A = 112.

So, the number of adult tickets sold (A) is 112.

In summary, to find the number of adult tickets sold, we set up equations based on the given information and then solve for the variable representing the number of adult tickets (A).

By substituting the value of 'A' back into one of the equations, we can also find the number of student tickets sold (S).

In this case, 112 adult tickets and 224 student tickets were sold to make a total of 336 tickets.

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To find the time it takes for an amount to accumulate with compound interest, we can use the formula A = P(1 + r/n)^(nt). In this case, it will take approximately 2.56 years for $50000 to accumulate to $86400 with a 20% compound interest rate.

To find the time it takes for an amount to accumulate with compound interest, we can use the formula:

A = P(1 + r/n)^(nt)

where:

In this case, we have:

50000(1 + 0.20/1)^(1*t) = 86400

Dividing both sides of the equation by 50000, we get:

(1 + 0.20)^t = 1.728

Using logarithms, we can solve for t:

t = log(1.728) / log(1.20)

t ≈ 2.56

Therefore, it will take approximately 2.56 years for $50000 to accumulate to $86400 with a 20% compound interest rate.

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If you're asking how much she got paid per hour, the answer would be $5.40.

27 / 5 = 5.4

Hello!

To write this equation we will use c to represent the total cost, and g to represent however many games you download.

c=12.49+0.99g

The constant rate is 12.49, that will never increase or change in our equation.

Depending on how many games you download, that will be the rate that affects our total cost.

If you only purchase one game, you only spend $13.48. Where as if you buy 10 games, you spend $22.39.

the product

26 x 107=2,782

Answer:

2782

Step-by-step explanation:

You shift every point 6 units to the right and 6 units down. Check out the attached image below. In that image, I show point A moving to point A' in this fashion. Every other point (B and C) will move along this similar pattern. This is how the triangle ABC moves to A'B'C'

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

In terms of an algebraic rule, it would be (x,y) --> (x+6, y-6). We add 6 to the x coordinate of each point. At the same time, we subtract 6 from each y coordinate.

For instance, A is at (-2,3). Add 6 to the x coordinate and we get (4,3). Now subtract 6 from the y coordinate and we end up with A' = (4,-3). Points B and C will be treated in a similar manner.

Note: Triangle ABC is called the pre-image ("pre" meaning "before") while A'B'C' is called the image.

1. 252 beacuse 21 x 12= 252

2. 3780 Now 252 x 15=3780

Using the multiplication operation, the number of miles hiked by Margot and Kennan are 252 miles and 3780 miles respectively

The approximate distance around Lake C = 21 miles

Number of hiking days = 12

Hence, the number of miles hiked by Margot will be :

Keenan hiked 15 times as far as Margot :

Therefore, the Number of miles hiked by Margot and Kennan are 252 miles and 3780 miles respectively

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Answer:

The jug will hold 4,800 milliliters.

Step-by-step explanation:

Each liter is 1000 milliliters, and 4.8 • 100 = 4,800

The jug holds 4800 milliliters. The conversion factor is that 1 liter is equal to 1000 milliliters.

The subject of this question is based on the concept of volume conversion, specifically from liters to milliliters. This falls within the field of Mathematics. In the metric system, volume can be measured in cubic meters (m³), liters (L), and milliliters (mL). These units of volume are used in different scenarios depending on the magnitude of the volume to be measured. One liter (L) is equal to 1 cubic decimeter (dm³), or 1,000 cubic centimeters (cm³).

One common metric conversion is from liters to milliliters. This is because 1 Liter equals 1000 milliliters.

Therefore, if a jug holds 4.8 liters, we can find the equivalent volume in milliliters by multiplying the volume in liters by 1000. In this case, 4.8 liters * 1000 equals 4800 milliliters

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Answer:

128 miles

Step-by-step explanation:

Given that a car rental company charges a $25.00 base fee plus $0.10 per mile driven to rent a car.

Let us represent y as total charges and x no of miles driven

Even if x=0, y= 25 (base fee)

SO y intercept =25

Slope = charge per drive = 0.10

So equation is

y =0.1x +25

To find out how many miles did a customer drive if the customers bill was $37.80, we can use the above equation.

y = 37.80 and x =?

37.80=0.1x+25

0.1x = 12.80

x = 12.80/0.1 = 128 miles

To start off you need to figure out how much money each item costs.  Now get out your calculator because it will make this process go much faster.

EXAMPLE:

If your sodas cost $2.25 EACH you need to do the following math equation

2.25 X 3 = 6.75 witch is the total you would be paying in this situation.

HOT DOGS EXAMPLE:

Lets say that your hotdogs are $4.75 PER DOG. You just need to follow the same steps above.

4.75 X 2 = 9.5 but thats not how we write money so it would be $9.50

Hope this helps,

Daniel

Answer:

depends what price it is

Step-by-step explanation:

Answer: line segment

Step-by-step explanation:

It is horizontal and has a slope of 0.

The equation y = 1 is a horizontal line with a slope of zero.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line or linear system is given below.

y = 1

The above equation is a horizontal line with a slope of zero.

Thus, the correct option is A.

The graph is given below.

More about the linear system link is given below.

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4000. 76 rounds to 80 and 46 rounds to 50 so 80 x 50 is 4000

Final answer:

To prepare 30 ounces of a 50% hydrochloric acid solution, the chemist must mix 17 ounces of the 40% solution with 11 ounces of the 60% solution and 2 ounces of the 80% solution.

Explanation:

The student needs to mix different concentrations of hydrochloric acid to end up with 30 ounces of a 50% solution. We know that 2 ounces of the 80% solution are used, so the remaining 28 ounces must be a mix of the 40% and 60% solutions.

Let x represent the ounces of the 40% solution and 30 - 2 - x, or 28 - x, represent the ounces of the 60% solution. Setting up the equation based on mass of pure hydrochloric acid:

Solving for x:

The chemist needs to use 17 ounces of the 40% solution and 11 ounces of the 60% solution, combining them with the 2 ounces of the 80% solution to obtain 30 ounces of 50% hydrochloric acid.

The 3 inside angles of a triangle equal 180 degrees.

You are given 23 and 8 for two of them.

Subtract the 2 given angles from 180 to find the 3rd angle.

3rd angle = 180 -23 - 8 = 149 degrees.

(2/3)^2⋅(2/3)^6 = (2/3)^(2+6) = (2/3)^8

When we have the same thing being multiplied by itself with a different exponent on it, we add the two exponents.

(a^b)*(a^c) = a^(b+c)

Final answer:

The simplification of the expression [tex](2/3)^2\times (2/3)^6[/tex] is obtained by adding the exponents, resulting in [tex](2/3)^8[/tex].

Explanation:

To simplify the expression[tex](2/3)^2\times (2/3)^6[/tex], we need to remember the rule of exponents which states that when we multiply two powers with the same base, we add the exponents. So in this case, we have the base (2/3) and we will add the exponents 2 and 6 together.

[tex](2/3)^2 \times (2/3)^6 = (2/3)^{(2+6)} = (2/3)^8.[/tex]

To write the answer as a power, we simply keep the same base of 2/3 and use the sum of the exponents as the new exponent. Therefore, the simplified expression is written as a power: [tex](2/3)^8[/tex]

282.50

if his bank charges him $7.50 each month for a balance below of $500

then Javier who did not deposit or withdraw (added or subtracted) but had a total of 305 would be charged 7.50 for those 3 months

305 - 7.50 (3) = X

305 - (22.5)

282.50

Answer: He had $277.50 at the end of 3 months.

Step-by-step explanation:

Since we have given that

Amount he had in his bank account = $305

Bank charges each month = $7.50

Number of months = 3

So, Bank charges for 3 months would be

[tex]7.50\times 3\\\\=\$22.5[/tex]

So, Amount left in his bank account would be

[tex]\$305-\$22.5\\\\=\$277.50[/tex]

Hence, he had $277.50 at the end of 3 months.

I got 750.278... might be wrong

Answer:

It's 730 feet

Step-by-step explanation:

Answer:

The answers is 367.87

Step-by-step explanation:

The interest Nolan will earn after 7 years of time lapse, with the given figures, is $4,863,465 approx.

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that simple interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

For the considered case, the unit of time is weekly.

In 7 years, there can be at least 1 leap year, and at max 2 leap years.

In 7 years, therefore, the number of days are between [tex]6 \times 365 + 366[/tex] and [tex]6 \times 365 + 366+1[/tex] or say in between 2556 and 2557

Since each week has 7 days, therefore, the number of weeks these days will have is approx [tex]\dfrac{2556}{7} \approx 365.14[/tex] (assumed there are 2556 days in 7 years).

This approximates to 365  weeks (integer quantity)

Thus, we get:

Thus, the amount of interest that Nolan will earn is approx:

[tex]CI = P(1 +\dfrac{R}{100})^T - P\\\\CI \approx 2300(1 + 0.0212)^{365} - 2300 \approx 2300 \times 2115.65 - 2300\\CI \approx \$4,863,465[/tex]

Thus. the interest Nolan will earn after 7 years of time lapse, with the given figures, is $4,863,465 approx.

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Yes it definitely is 720 degrees.

1 round= 360 degrees

2 rounds= 2 X 360 = 720 degrees

:-)

4/10

6/15

18/45

8/20

16/40

To solve, we must find out how much he earned in the month. To do this, we do 29 x 9. This is done to find out how much was earned. Omar earned $261 in the month. Now we do 261-18 to find out how much is left after spending 18 dollars. We can see that Omar has $243 dollars remaining.

i think its        -8y + 12

Answer:

-8y + 12

Step-by-step explanation:

"The sum of" means addition

Let "a number" = n

n + 8, or (A) is your answer

hope this helps

I mean - accelerometers do, are you sure this is the correct place to post this question?

Its the one shaped like a V