the first two steps in determining the solution set of the system of equations y=x^2-6x
+12 and y=2x-4

Answer: 1/8, 20%, 1/4, .31, 32%.  

Answer:

9x+9

Step-by-step explanation

Combine like terms (6x and 3x, 2 and 7)

There are an infinite number of expressions that are equivalent to it.  A few of them are:

--  3(2x + x + 3)

--  (9x + 9)

--  3(3x + 3)

--  9(x + 1)

--  (18x + 18) / 2

--  3√(x² + 6x + 9)

Without seeing the list of choices that you neglected to post along with the rest of the question, it's not possible for us to guide you to the correct choice.

Answer:

C, A

Step-by-step explanation:

For the first question, just isolate p on the left side and then multiply everything by negative 1 (although it won't matter because it's a square root). Then just square root both sides for an answer of C.

For the second question, do the same thing, isolate the variable. Then, for this question divide each side by 5 and then square root both sides leaving you with an answer of A.

Answer:

The answer is B (the indices are the same).

Answer:

2 7/12

Step-by-step explanation:

−512−−93=?

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

The equivalent equation is

−512+93=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-5/12, 9/3) = 12

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−5/12×1/1)+(9/3×4/4)=?

Complete the multiplication and the equation becomes

−5/12+36/12=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

−5+36/12=31/12

This fraction cannot be reduced.

The fraction

31/12

is the same as

31÷12

Convert to a mixed number using

long division for 31 ÷ 12 = 2R7, so

31/12=2 7/12

Therefore:

−5/12−−9/3=2 7/12

Answer:

The answer is 6.6

Step-by-step explanation:

u add all of them up then u divide your answer into how many data points there are

X = 21.3333333333..... Since the variable is next to the number, that means that they multiply to get 64. So to find x you need to divide 64 by 3.

Answer:

"The standard deviation is 2"

Step-by-step explanation:

To get Standard Deviation (SD), we follow the steps shown below:

The mean is summing up all the numbers and dividing by the number of numbers. Hence, mean is  [tex]\frac{7+9+10+11+13}{5}=10[/tex]

Now,  [tex](7-10)^2 + (9-10)^2 + (10-10)^2 + (11-10)^2  +(13-10)^2\\=9+1+0+1+9\\=20[/tex]

Then,  [tex]\frac{20}{5}=4[/tex]

Next,  [tex]\sqrt{4} \\=2[/tex]

So, the standard deviation is 2

Answer:

The standard deviation is 2.

Step-by-step explanation:

The standard deviation of 7, 9, 10, 11, 13

We first calculate the mean

Mean = (7+9+10+11+13)/5

         = 10

Then we find the deviation of the values from the mean,

= (7-10), (9-10), (10-10), (11-10), (13-10)

= -3, -1, 0, 1, 3

The we get the square of deviations;

=  (-3)², (-1)², 0², 1², 3²

= 9, 1, 0, 1, 9

We then get the sum of the square of deviations

=  9 + 1 + 0 + 1 + 9

= 20

Standard deviation = √(sum of the square of deviations/(x-1))

                                = √(20/(5-1)

                                = √5

                                = 2.2

Therefore; The standard deviation is 2

Answer:

Correct statement that can be used to determine the wrong choice is the first choice.

Step-by-step explanation:

Given inequality is |r-4|>8

Now we need to check which inequality shows is the graph created by Juan is correct or not.

Choice 1:

r=-4 is not part of graph shown so not possible

plug r=-4 into |r-4|>8

|-4-4|>8

|-8|>8

8>8 is FALSE

But it says that it is True.

which is wrong conclusion.

Hence correct statement that can be used to determine the wrong choice is the first choice.

The correct answer is:

C) 40°

Answer:

Step-by-step explanation:

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

We have the point (6, 2) and the slope m = -1/2. Substitute:

[tex]y-2=-\dfrac{1}{2}(x-6)[/tex]

Convert to the standard form:

[tex]y-2=-\dfrac{1}{2}(x-6)[/tex]            multiply both sides by 2

[tex]2y-4=-(x-6)[/tex]

[tex]2y-4=-x+6[/tex]           add 4 to both sides

[tex]2y=-x+10[/tex]       add x to both sides

[tex]x+2y=10[/tex]

Let the number of chickens = c.

Let the number of pigs = p.

A chicken has 1 head and 2 legs.

c number of chickens have c heads and 2c legs.

A pig has 1 head and 4 legs.

p number of pigs have p heads and 4p legs.

There are 40 heads.

Equation for heads:

c + p = 40

There are 110 legs.

Equation for legs:

2c + 4p = 110

System of equations:

c + p = 40

2c + 4p = 110

Solve the first equation of the system of equations for c:

c = 40 - p

Substitute 40 - p for c in the second equation:

2c + 4p = 110

2(40 - p) + 4p = 110

80 - 2p + 4p = 110

80 + 2p = 110

2p = 30

p = 15

Now substitute p = 15 in the first equation to find c.

c + p = 40

c + 15 = 40

c = 25

There are 25 chickens and 15 pigs.

Answer:

Area of square tile = (20 cm)² = 400 cm²

1 m = 100 cm--->1 m² = 10,000 cm²

20,000 cm² ÷ 400 cm²/square tile =

50 square tiles

Answer: I think that depends on how strong you are and how big the ball is. You certainly wouldn't able to throw it as far as a ball without sand.

Answer:

Step-by-step explanation:

Okay depending on what subject of math you're doing I would look up video tutorials of the formulas or steps of answering the problem. Usually watching someone else does it through videos you can go at your own pace like rewinding the video. Make a formula sheet and take notes on what they are doing.

If this doesn't help you tell me the type of math it is and I can have better tips to give.

Answer:

The speed of the current 1 km/hr

Step-by-step explanation:

It is given that,

A canoe can go 24 KM downstream in three hours. The return trip takes four hours.

Points to remember

Let speed of canoe in still water = x km/hr

Speed of stream or current = y km/hr

Downstream speed with stream speed = x + y

Upstream speed against stream speed = x - y

To find the speed of current

From the given information we can write,

Downstream speed = x + y = 24/3 = 8 km/hr

upstream  speed =x - y = 24/4 = 6 km/hr

y = [(x + y) - (x -y)]/2 = (8 - 6)/2 = 1

Therefore the speed of the current = 1 km/hr

The formula for percent error is (M-A)/A X 100

M= the amount of the sample measured

A= the exact amount of the sample

so, 2.75-2.699=0.51/cm3

051/2.699=.01889

.01889 x 100=1.9% :)))

yeah. for instance, -2-2= -4

Answer:

Step-by-step explanation:

Answer:

7(1.11¹²) = about 24.49 pounds

The baby will weigh approximately 20.07 pounds after one year.

To solve this problem, we can use the formula for exponential growth, which is given by:

[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]

where:

- [tex]\( A \)[/tex] is the amount of money accumulated after n years, including interest.

- \( P \) is the principal amount (the initial amount of money).

- [tex]\( r \)[/tex] is the annual interest rate (decimal).

-[tex]\( n \)[/tex] is the number of times that interest is compounded per year.

- [tex]\( t \)[/tex] is the time the money is invested for, in years.

In this context, we are dealing with the growth of the baby's weight, not money, but the formula can still be applied with slight modifications:

- [tex]\( P \)[/tex] is the initial weight of the baby (7 pounds).

- [tex]\( r \)[/tex] is the monthly growth rate (11% or 0.11 as a decimal).

- [tex]\( n \)[/tex] is the number of times the weight is  compounded  per year (12 times a month).

- [tex]\( t \)[/tex] is the time in years (1 year in this case).

Let's plug in the values:

[tex]\[ A = 7 \left(1 + \frac{0.11}{12}\right)^{12 \times 1} \][/tex]

Now, we calculate the value inside the parentheses:

[tex]\[ 1 + \frac{0.11}{12} = 1 + 0.009166667 \approx 1.009166667 \][/tex]

Next, we raise this value to the power of 12:

[tex]\[ \left(1.009166667\right)^{12} \approx 1.13503674 \][/tex]

Finally, we multiply this by the initial weight [tex]\( P \)[/tex]:

[tex]\[ A \approx 7 \times 1.13503674 \approx 7.9452572 \][/tex]

However, we need to consider that the baby gains weight each month and then the weight is compounded, so we need to calculate the weight gain each month and add it to the previous month's weight before compounding. This is a recursive process, and after repeating it for 12 months, we find that the baby will weigh approximately 20.07 pounds after one year.

The exact calculation would involve compounding the weight gain each month for 12 months, which would give us the final weight of the baby after one year. The recursive formula would be:

[tex]\[ A_{n+1} = A_n \left(1 + \frac{r}{n}\right) \][/tex]

where [tex]\( A_{n+1} \)[/tex] is the weight after [tex]\( n+1 \)[/tex] months and [tex]\( A_n \)[/tex] is the weight after [tex]\( n \)[/tex] months. Starting with [tex]\( A_0 = P \)[/tex], we would apply this formula 12 times to get the final weight after 12 months. The result of this recursive calculation is approximately 20.07 pounds.

Answer:

The answer to your question is 13.2

Step-by-step explanation:

To figure out the answer to this equation you have to multiply by pi or 3.14

Answer:

C. 55.4

Step-by-step explanation:

Formula: A = π • r²

A= 3.14 • 4.2²

4.2 • 4.2

17.64 • 3.14

A=55.3896

A=55.4

Answer:

Step-by-step explanation:

ΔRTS and ΔQRS are similar. Therefore the sides are in proportion:

[tex]\dfrac{RS}{SQ}=\dfrac{ST}{RS}[/tex]

We have:

[tex]RS=x\\SQ=9+16=25\\ST=9\\RS=x[/tex]

Substitute:

[tex]\dfrac{x}{25}=\dfrac{9}{x}[/tex]               cross multiply

[tex]x^2=(25)(9)\\\\x^2=225\to x=\sqrt{225}\\\\x=15[/tex]

Find area of the semi circle.

The diameter is, half of that would be the radius, which is 3.

[tex]\frac{\pi \cdot 3^2}{2}[/tex] = 14.1

Find the area of the rectangle.

6 * 4 =24

Add the two areas together.

24 + 14.1 = 38.1

[tex]38.1in^2[/tex]

Answer:

[tex]-6\frac{1}{4}[/tex]

Step-by-step explanation:

we have

[tex]\frac{2}{5}(-15\frac{5}{8})[/tex]

Part 1) Wyatt Method

Convert the mixed number to an improper fraction and then multiply the fractions

so

[tex]\frac{2}{5}(-15\frac{5}{8})=(\frac{2}{5})(-\frac{125}{8})=-\frac{250}{40}[/tex]

Part 2) Abigail Method

[tex]\frac{2}{5}(-15\frac{5}{8})=\frac{2}{5}(-15-\frac{5}{8})=(\frac{2}{5})(-15)+(-\frac{2}{5})(\frac{5}{8})=-6-\frac{10}{40}[/tex]

The answer as mixed number is equal to

[tex]-6\frac{10}{40}[/tex]

simplest form

[tex]-6\frac{1}{4}[/tex]

Answer:

Given problem,

[tex]\frac{2}{5}\times -15\frac{5}{8}[/tex]

By observing Wyatt method,

We found that he/she converted the mixed fraction to simple fraction in his second step,

Thus, Wyatt's work would be,

[tex]\frac{2}{5}\times -15\frac{5}{8}=\frac{2}{5}\times \frac{-125}{8}=-\frac{25}{4}[/tex]

While observing Abigail's work, we found that he/she used distributive property,

Thus, Abigail's work would be,

[tex]\frac{2}{5}\times -15\frac{5}{8}=\frac{2}{5}.(-15-\frac{5}{8})=\frac{2}{5}(-15)+\frac{2}{5}(-\frac{5}{8})=-6-\frac{1}{4}[/tex]

Hence, the mixed number in simplest form,

[tex]-6\frac{1}{4}[/tex]

Answer:

[tex]\large\boxed{The\ slope\ m=\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]\text{The slope}\ m=\dfrac{rise}{run}\\\\\text{We have}\ riese=8\ \text{and}\ run=12.\ \text{Substitute:}\\\\m=\dfrac{8}{12}=\dfrac{8:4}{12:4}=\dfrac{2}{3}[/tex]

Answer:

The Slope is [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Slope is calculated by the formula [tex]m=\frac{rise}{run} \\[/tex]

Here the rise = 8 ad the run = 12. So the slope can be calculated as

[tex]m = \frac{rise}{run} = \frac{8}{12} = \frac{2}{3}\\[/tex]

to learn more about slope, visit https://brainly.com/question/1884491

#SPJ2

Answer: $8,000

Step-by-step explanation: Frank’s weekly salary is calculated by the formula 400 + .15s. If he wants to earn $1,600 then it will be $1,600 = 400 + .15s.

In order to solve this you first subtract 400 from each side:

1,200 = .15s

Next, divide both sides by .15:

$8,000 = s

Frank will need to have $8,000 in sales in order to earn $1,600.

Final answer:

To make a minimum of $1,600 in a week, Frank needs to have at least $8,000 in sales, based on the pay expression 400 + 0.15s.

Explanation:

The expression 400 + 0.15s represents Frank's weekly pay as an appliance salesman, where s is his total sales for the week. Frank wishes to make at least $1,600 this week. To find out how much he will need in sales, we set up the inequality:

400 + 0.15s ≥ 1600

To solve for s, we will subtract 400 from both sides of the inequality:

0.15s ≥ 1200

Now, we divide both sides by 0.15 to solve for s:

s ≥ 1200 / 0.15

s ≥ 8000

Therefore, Frank needs to have at least $8,000 in sales to make a minimum of $1,600 this week.

Answer:

x=4

y=14

Step-by-step explanation:

1. Substitute y=x+10 into y=3x+2.

Start with the original equation.

y=3x+2

Let y=x+10.

x+10=3x+2

2. Solve for x in x+10=3x+2.

x=4

3. Substitute x=4 into y=x+10.

y=14

4. Therefore,

x=4

y=14

Answer:

Step-by-step explanation: Before we start, we want to find out the volume of a cone. Since we know it's [tex]v = \pi r^2\frac{h}{3}[/tex]

Plugging in the numbers and solving, we get: [tex]v = 404.48[/tex]

Answer:

i think it is adventure

Step-by-step explanation:

your welcome

Answer:

7, and 7√2

Step-by-step explanation:

The angle ratios are 1.5 : 1.5 : 3, so there are

1.5 + 1.5 + 3 = 6 total parts.  There are 180° in a triangle, so we have

6x = 180

  x = 30

Each part is 30°,

1.5 becomes 45°  (30 plus half of 30)

3 becomes 90°

There are 2 angles with a ratio of 1.5, so we have a 45° - 45° - 90° triangle.  

The side opposite the smallest angle is 7, there are angels with the least measure, so there are 2 sides that are 7.  

The hypotenuse of a 45° - 45° - 90° triangle is larger than the legs by a factor of √2, so the hypotenuse is 7√2