Question 2 of 10
Which system of inequalities is graphed below?

Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number. If a polynomial p(x) is divided by x - a then the remainder is p(a). Hence by the remainder theorem, 0 is the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.

Answer:

4 step by step explanation

The at {x} = 10, the value of the function remains +8.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that the function f(x) is defined as -

f(x) = + 8

The given function is a constant function. This means that the value of the function remains the same irrespective of the value of {x} or the value in the function domain. So, at {x} = 10, the value of the function remains +8 only. This is true for all the values of {x}.

Therefore, the at {x} = 10, the value of the function remains +8.

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Answer:

1096.6

Step-by-step explanation:

The answer would be 1096.63316, but since you are rounding to the nearest tenth, then your answer would be 1096.6.

Answer:

1096.6.

Step-by-step explanation:

e = about 2.7

2.7^7is about 1046

We need to find the number of students that scored above 50.57.

That number is given by the sum of all heights of the bars after 50.5:

Heights of the bars with scores above 50.5:

• bar labeled 1: ,100

• bar labeled 2: ,250

• bar labeled 3: ,200

• bar labeled 4: approximately ,190

• bar labeled 5: approximately ,60

Then, adding those values, we obtain:

Answer: D. 800

Answer: 25 or 40 i mostly think its 25

Step-by-step explanation:

Answer:

y=90 degrees

Step-by-step explanation:

x+y+70=180 degrees  ==> these three angles make up a triangle, and the

                                         the total sum of angles in a triangle is 180 degrees

Notice that y is on a straight line?

Straight lines are 180-degree angles called straight angles.

Hence:

(180-y)+x+70=180  ==>  these three angles also make up a triangle, and the

                                        the total sum of angles in a triangle is 180 degrees

180-y+x+70=x+y+70  ==> since both expressions equal 180, they both are

                                         equal to each other

180-y+x+70 + y = x+y+70 + y ==> add y on both sides to isolate y to one side

180 - y + y + x + 70 = x + y + y + 70  ==> simplify

180 + x + 70 = x + 2y + 70

180+x+70 - x = x+2y+70 - x  ==> subtract x on both sides to eliminate x

180 + x - x + 70 = x - x + 2y + 70  ==> simplify

180 + 70 = 2y + 70

180 + 70 - 70 = 2y + 70 - 70 ==> subtract both sides by 70 to simplify the equation

180 = 2y

y = 180/2

y = 90 degrees

The given expression (ab)⁸ = ab⁸ is not correctly simplified.

Exponential function →

An exponential equation is given by - y = f{x} = A(B)ˣ.

Given is the exponential expression as -

(ab)⁸ = ab⁸

The given expression is -

(ab)⁸ = ab⁸

According to the rule -

(AB)ˣ = (AˣBˣ)

So, we can write -

(ab)⁸ = (a⁸b⁸)

But -

(a⁸b⁸) ≠ (ab⁸)

Therefore, the given expression (ab)⁸ = ab⁸ is not correctly simplified.

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59 estimated by 65 would be 60.

To estimate a number by another number means to find a value that is close to the original number but is easier to work with or understand. Estimation is a method of making quick calculations or approximations, often without the use of a calculator or other precise tool.

To estimate 59 by 65, you can use rounding to the nearest ten. To do this, round both 59 and 65 to the nearest ten, which is 60. Therefore, 59 estimated by 65 is 60.

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Answer:

7 melons

Step-by-step explanation:

So we first figure out the unit price of each melon by dividing 7.5 with 3 and you get $2.5 per melon. Then you divide 17.5 by 2.5 and then you should get 7.

The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

Given that a researcher measures the relationship between two variables, X and Y.

If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.

Correlation coefficient:

The correlation coefficient is a statistical measure that determines the degree of association between two variables.

It is denoted by the symbol ‘r’.

The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.

How to calculate correlation coefficient?

The formula to calculate the correlation coefficient is as follows:

r = SS(XY)/√[SS(X)SS(Y)]

Now, substitute the given values, we get:

r = 340/√[320000]r = 0.34

Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

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Answer:

-63

Step-by-step explanation:

6x - 3y

= 6 × -4 - 3 × 13

= -24 - 39

= -63

Answer:42

Step-by-step explanation:

I know it

Answer:

61

Step-by-step explanation:

It should be 61

Square 60 and 11 and add them together to get 3271

Then square root 3271

You'll get 61

Which is the answer

The relation that is a function is the graph (d)

From the question, we have the graphs to represent the given parameters that can be used in our computation

We are to find out which of them represents a function

For a graph to represent a function, the graph must pass the vertical line test

This means that a line drawn from the x-axis must touch the graph at most once

So, we draw these lines  and attach the graphs (see attachment)

The graph that pass the vertical line test is graph d

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Answer:

3,14

Step-by-step explanation:

3x+5=6x-4

x=3

y=3x3+5

y=14

x,y=3,14

14=3x3+5

14=6x3-4

14=14

14=14

(x,y)=3,14

Answer:

Step-by-step explanation:

Let the original speed of the cars be x.

When speed is x + 10 the distance in two hours is:

When speed = x - 10 the distance in three hours is:

Since the distance is same in both cases, set them equal and solve for x:

The original speed of the cars is 50 km/h

Answer:

Original speed = 50 km/h

Step-by-step explanation:

Given that,

→ first car travels 10 km faster than its current speed. It would travel in two hours the same distance.

→ second car travels 10 km per hour slower than its current speed. It would travel in 3 hours the same distance.

Then the equation will be,

→ 2(x + 10) => 1st car

→ 3(x - 10) => 2nd car

→ 2(x + 10) = 3(x - 10)

Now the original speed of the cars is,

→ 2(x + 10) = 3(x - 10)

→ 2x + 20 = 3x - 30

→ 2x - 3x = -30 - 20

→ -x = -50

→ [ x = 50 km/h ]

Hence, the original speed is 50 km/h.

Answer:

see explanation

Step-by-step explanation:

\(\frac{2}{1+e^{-2} }\) ← evaluate \(e^{-2}\) using calculator

= \(\frac{2}{1+0.135}\)

= \(\frac{2}{1.135}\)

= 1.762.....

≈ 1.8 ( to 1 dec. place )

Answer:

Neither

Step-by-step explanation:

Answer:

for less than 1 angle should be 0 degrees < angle < 45 degrees

hope this helps :)

Answer:

A tangent ratio can be less than 1

Step-by-step explanation:

Michael will need 54 yards of fencing.

Dimensions of Michael's rectangular yard =  22 yards, 16 yards

Length of Michael's rectangular yard = 22 yards

Breadth of Michael's rectangular yard = 16 yards

Perimeter of Michael's yard = 2 [l+b] = 2 [22+16]   = 2×38 = 76 yards                            

As Michael nee

ds to fence only 3 sides leaving a long side, so he needs to fence = perimeter - length = 76-22 = 54 yards

Hence, Michael will need 54 yards of fencing.

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Answer: 6.4 minutes

Step-by-step explanation:

400x4 = 1600

1600 / 250 = 6.4

Answer:

n = -13

Step-by-step explanation:

19 + 10n = 7n - 20

Subtract 7n from each side

19 + 10n-7n = 7n-7n - 20

19+3n = -20

Subtract 19 from each side

19+3n -19 = -20-19

3n = -39

Divide each side by 3

3n/3 = -39/3

n = -13

The amount Ted would make from delivering pizzas for 4 hours would be $42.

The first step is to determine the increase in Ted's income after the raise: (1.05) x $10 = $10.50

The second step is to determine the total income for 4 hours of work: 10.50 x 4 = $42

Here is the complete question:Ted makes n$10  hour delivering pizzas. if he gets a 5% raise, how much will he make delivering pizzas for 4 hours?

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Answer:

121

Step-by-step explanation:

work out x

sum of opposite angle =180

x=29

a = 180. - ( 2x29) +1

The final payment F, made one month after the last equal payment, for a loan of R 180,000 at an interest rate of 15.6% p.a. compounded monthly with regular equal monthly payments of R 6,300, is R 6,345.94 (to the nearest cent).

To calculate the final payment F, we need to determine the remaining balance after the last equal payment of R 6,300. We can consider it as the present value of the remaining debt, including one month of interest.

First, we calculate the monthly interest rate by dividing the annual interest rate by 12:

r = 15.6% / 12 = 0.013

Next, we calculate the remaining balance as the present value of the remaining debt after the last equal payment:

Remaining balance = R 180,000 * (1 + r)^(n_remaining) - R 6,300

Where: n_remaining = Number of remaining months after the last equal payment (1 month)

Remaining balance = 180,000 * (1 + 0.013)^1 - 6,300 = R 180,000 * 1.013 - 6,300 = R 180,000 * 1.013 - 6,300 = R 182,340

Finally, we subtract the remaining balance from the final payment to determine the value of F:

F = Remaining balance - R 6,300 = R 182,340 - 6,300 = R 6,345.94 (to the nearest cent)

Therefore, the final payment F, made one month after the last equal payment, is R 6,345.94 (to the nearest cent).

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If two angles are complementary, it means that their sum is 90 degrees. This means that

angle FGJ + angle JGH = 90

From the diagram, angle JGH = 24.4

Thus,

angle FGJ + 24.4 = 90

angle FGJ = 90 - 24.4

angle FGJ = 65.6 degrees