MATHEMATICS HIGH SCHOOL

The value of a car has decreases by 5% each year. Sophie bought a car two years ago for £10000 work out the value now .

Answers

Answer 1

Answer:

Answer:

£9000

Step-by-step explanation:

= £10 000×5×2

100

= 1000

= £10 000-1000

= £9000

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Find the area of the figure. Round decimal answers to the nearest tenth.

Answers

The base is 8 and the height is 8.
8x8 = 64
64 divided by 2 is 32
The area is 32 ft squared

I got this answer by using the formula for finding the area of a triangle. Base x height divided by 2

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?

Answers

The coefficients of x4 is 9. It has factors of 1, 3, and 9. The constant is 4. It has factors of 1, 2, and 4.
The (positive and negative) ratios of the factors of the coefficient of the x4 and the constant 4 are the potential rational roots of the function.
The answers are:
1, -1, 3, -3, 9, -9, 1/2, -1/2, 3/2, -3/2, 3/4, -3/4, 9/2, -9/2, 9/4, -9/4

Answer:

It's B.

Step-by-step explanation:

Write a recursive formula for the sequence 7, 13, 19, 25, 31, ... Then find the next term.

Answers

Answer:

see explanation

Step-by-step explanation:

there is a common difference between consecutive terms , that is

d = 13 - 7 = 19 - 13 = 25 - 19 = 31 - 25 = 6

this indicates the sequence is arithmetic

the recursive formula lets us find any term in the sequence by adding the common difference to the previous term , that is

$a_(n)$ = $a_(n-1)$ + 6 ; a₁ = 7

the next term in the sequence is

31 + 6 = 37

A small town with a population of 1,200 residents held elections for the position of mayor. Four candidates had announced their candidature for the election. On the day of the election, a local newspaper conducted an exit poll near two polling booths with two groups of 100 residents each. The results are given in the table shown below.Name Group A Group B
Chris Jones 51 29
Patrick Smith 6 4
Michael Small 30 54
Susan Davis 13 13

Which of the following statements about the data above is true?
A.
The estimated number of residents who would have voted for Michael Small is higher for Group B than Group A.
B.
The estimates for both groups show an equal number of residents would have voted for Michael Small.
C.
The estimated number of residents who would have voted for Susan Davis is higher for Group A than Group B.
D.
The estimated number of residents who would have voted for Michael Small is higher for Group A than Group B.

Answers

Answer:

The estimated number of residents who would have voted for Michael Small is higher for Group A than Group B.

Step-by-step explanation:

The number of hours slept at night is related to the number of minutes spent exercising that day. A collection of data on the number of minutes spent exercising, x, and the number of hours slept, y, is shown in the table.x 30 37 40 45 52 55 61 65 71 76
y 6.25 6 6.5 7 6.5 7.25 7.5 8 8.65 8.5
Which linear equation best models the relationship between x and y?

Answers

Answer:

the answer is A

Step-by-step explanation:

took the test

Final answer:

The linear equation that best models the relationship between the number of minutes spent exercising and the number of hours slept is y = 0.04643x + 4.607.

Explanation:

The relationship between the number of minutes spent exercising, x, and the number of hours slept, y, can be modeled by a linear equation. To find the equation, we can use the formula for a line, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope, we need to calculate the difference in y-values divided by the difference in x-values for any two points on the line. Let's take the first and last points: (30, 6.25) and (76, 8.5).

Slope (m) = (8.5 - 6.25) / (76 - 30) = 0.04643

Next, to find the y-intercept, we can substitute one point and the slope into the equation and solve for b. Let's use point (30, 6.25):

6.25 = 0.04643 * 30 + b

b = 4.607

Therefore, the linear equation that best models the relationship between x and y is y = 0.04643x + 4.607.