MATHEMATICS MIDDLE SCHOOL

Which expression is equivalent to (st)(6)

Answers

Answer 1

Answer:

Answer:

(st)(6)= s(6) * t(6)

Step-by-step explanation:

Lets discuss some basic expressions

(f+g)(x)= f(x) + g(x)

(f-g)(x)= f(x) - g(x)

(fg)(x) = (f*g)(x)= f(x) * g(x)

(f/g)(x)= f(x)/ g(x)

(fog)(x) = f(g(x))

(gof)(x)= g(f(x))

given expression is

(st)(6)

(st)(x)= s(x) * t(x) we multiply it

(st)(6)= s(6) * t(6)

Answer 2

Answer: S(6) x t(6) would be the expression that is equivalent to (st)(6)

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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded. Which system of linear inequalities is represented by the graph? y > x – 2 and x – 2y < 4 y > x + 2 and x + 2y < 4 y > x – 2 and x + 2y < 4 y > x – 2 and x + 2y < –4

Answers

Answer:

$y\geq x-2$

$x+2y<4$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=(y2-y1)/(x2-x1)$

substitute the values

$m=(0+2)/(2-0)$

$m=(2)/(2)$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=(y2-y1)/(x2-x1)$

substitute the values

$m=(0-2)/(4-0)$

$m=(-2)/(4)$

$m=-(1)/(2)$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-(1)/(2)$

$b=2$ ---> the y-intercept is given

substitute

$y=-(1)/(2)x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y<-(1)/(2)x+2$

Rewrite

Multiply by 2 both sides

$2y<-x+4$

$x+2y<4$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y<4$

see the attached figure to better understand the problem

Answer:

17 1st option

35 2nd option

Step-by-step explanation:

The populations of cities A and B are 2.6 * 10^5 and 1,560,000 respectively. the population of city C is twice the population of city Bthe population of city C is how many times the population of city A?

Answers

Answer:

City C is 12 times the population of city A.

Step-by-step explanation:

AI-generated answer

To find out how many times the population of city C is compared to city A, we first need to determine the population of city C.

Given that the population of city B is 1,560,000 and the population of city C is twice the population of city B, we can calculate the population of city C as follows:

Population of city C = 2 * Population of city B

= 2 * 1,560,000

= 3,120,000

Now that we know the population of city C is 3,120,000, we can compare it to the population of city A.

The population of city A is given as 2.6 * 10^5 (which is scientific notation for 2.6 multiplied by 10 raised to the power of 5).

To compare the population of city C to city A, we divide the population of city C by the population of city A:

Population of city C / Population of city A = 3,120,000 / 2.6 * 10^5

To simplify this calculation, we can express both numbers in the same format:

3,120,000 = 3.12 * 10^6 (since we move the decimal point 6 places to the right)

2.6 * 10^5 = 260,000 (as we move the decimal point 5 places to the right)

Now we can calculate:

Population of city C / Population of city A = 3.12 * 10^6 / 260,000

Dividing these two numbers, we get:

Population of city C / Population of city A = 12

Therefore, the population of city C is 12 times the population of city A.

Answer:

City C is 12 times the population of city A.

Step-by-step explanation:

FIND THE LENGTH OF THE MISSING LEG.

Answers

Answer:

Step-by-step explanation:

In this right triangle, you are given the measurements for the hypotenuse, c, and one leg, b. The hypotenuse is always opposite the right angle and it is always the longest side of the triangle. To find the length of leg a, substitute the known values into the Pythagorean Theorem. Solve for a2.

Find the slope of the line that passes through (-20, -51) and (31, -75).

Answers

Answer:

-8/17

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-75-(-51))/(31-(-20))

m=(-75+51)/(31+20)

m=-24/51

m=-8/17

Two skaters are racing towards the finish line of the race.the first Skater has a 40 meter lead and is traveling at a rate of 12 meter.the second skater is traveling at a rate of 14 meter per second.how long will it take for the second skater to pass the first skater?

Answers

Answer:

20 seconds

Step-by-step explanation:

The distance to cover between the lead skater and trailing skater is 40 meters

The lead skater's rate is 12 m/s

The trailing one's rate is 14 m/s

So, we can say:

second skater is accelerating, or covering up the distance, in 14 - 12 = 2 m/s

So, at a rate of 2 meters per second, how long would it take to cover 40 meters??

We use the distance formula, substitute the known and solve for unknown.

Distance Formula = D = RT

Where

D is distance

R is speed/rate

T is time

We know

r = 2 m/s

d = 40 m

t = ?

Now,

D = RT

40 = 2t

t = 40/2

t = 20 (seconds)

Hence,

it will take 20 seconds for the second skater to catch up (pass)

The winner of a raffle will receive 3/4 of the money raised from raffle ticket sales. The raffle raised $530.40. How much money will the winner of the raffle get

Answers

Convert (3/4) into a decimal which is .75 (75%). Then multiply the decimal to the total amount of $530.40 which yields $397.80.
In other words 75% of the total $530.40 is given to the winner which is $397.80.

Final answer:

The raffle winner will receive $397.80. This is found by multiplying the total money raised ($530.40) by the fraction of the money the winner will receive (3/4).

Explanation:

To find out how much money the winner of the raffle will get, you need to multiply the total amount of money raised by the fraction of the money that the winner will receive. The fraction given in this scenario is 3/4.

To solve this, you can follow these steps:

Determine the total money raised. Here, the total money raised was $530.40.
Multiply the total amount raised by the fraction the winner will receive. In this case, $530.40 is multiplied by 3/4.
Complete the multiplication. The answer is the amount the raffle winner will get.

So, $530.40 * 3/4 = $397.80

Therefore, the raffle winner will receive $397.80.

Learn more about fraction multiplication here:

brainly.com/question/23715562

#SPJ11

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