The cost price of a boat is marked up by 8%.
a. Calculate the cost price if the marked up price is $43200.

Answer:

A. g(x) = - x²

Step-by-step explanation:

f(x) reflex over x-axis: g(x) = - f(x)

Using translation concepts, it is found that the equation of g(x) is given by:

A. g(x) = -x².

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function f(x) = x² was reflected over the x-axis, that is, it was multiplied by -1, hence the equation for g(x) is given by:

g(x) = -f(x) = -x².

Which means that option A is correct.

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Answer: x = 3

I hope this helps you and im not to late

Answer:

25

Step-by-step explanation:

if the expression is [tex]x^{2}[/tex] + 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).

A perfect square is 25.

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3² and can be written as 3 × 3

Given

if the expression is  x²+ 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).

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Answer:

48cm²

Step-by-step explanation:

If the area A of a triangle varies jointly as the base b and the altitude h of the triangle, this is expressed as;

A = kbh

k is the constant of proportionality

If A  = 70cm², b = 14cm and h = 10cm

Substitute

70 = k(14)(10)

70 = 140k

k = 70/140

k = 0.5

To get the area if base is  8 cm and the altitude is 12 cm;

A = 0.5*8*12

A = ​48cm²

Hence the required area is 48cm²

Answer:

56x² - 120x + 16 ; (9x - 5)² - (5x - 3)²

x in both equations is 5

Step-by-step explanation:

Painting 1 : 81x^2 - 90x + 25

Painting 2 : 25x^2 + 30x + 9

Expression for the difference between the two paintings :

Painting 1 - painting 2

(81x^2 - 90x + 25) - (25x^2 + 30x + 9)

81x^2 - 90x + 25 - 25x^2 - 30x - 9

81x² - 25x² - 90x - 30x + 25 - 9

56x² - 120x + 16

2.)

81x^2 - 90x + 25 = 1600in²

25x^2 + 30x + 9 = 484 in²

Factorizing each equation :

81x^2 - 90x + 25 = 1600 in²

(9x - 5)^2 = 1600 in²

25x^2 + 30x + 9 = 484 in²

(5x - 3)^2 = 484

(9x - 5)² - (5x - 3)²

2.)

(9x - 5)^2 = 1600

Take square root of both sides

9x - 5 = 40

9x = 40 + 5

9x = 45

x = 45/9

x = 5

(5x - 3)^2 = 484

Take square root of both sides

5x - 3 = 22

5x = 22 + 3

5x = 25

x = 25/5

x = 5

Answer:

Step-by-step explanation:

0.5^(t/5730) = 0.30

2^(-t/5730) = 0.30

-t/5730 = log₂0.30

t = -5730 log₂0.30 ≈ 9953 years

slope = y2-y1/x2-x1

slope = 11-7/4-2

slope = 4/2

slope = 2

Answer:

Explanation  below

Step-by-step explanation:

1/2 =0.5

1/3 = 0.333

4/6 = 0.667

2/5 = 0.4

5/8 = 0.625

7/12 = 0.583

The fractions less than 1/2 are:

1/3 and 2/5.  (A and C).

Answer:

down five units, and left three units.

Step-by-step explanation:

The bottom corner moved down five units.

Then that point moved three units to the left.

It's the same for the other points too.

Answer:

x = 35

Step-by-step explanation:

Supplementary angles add up to 180°.

if (3x + 15)° and 60° are supplementary, then

3x + 15 + 60 = 180

now, you just have to solve the equation.

3x + 75 = 180

3x = 105

x = 35

Check

3*35 + 15 + 60 = 180

105 + 15 + 60 = 180

180 = 180

Answer:

30 that singular tickets for each friend and if your asking for total it would be 120. :)

Step-by-step explanation:

They paid 100 but they had a 20$ off coupon, this means the orignial total would be $120 so 120 divided by 4 (there's four people) = $30 each :)

hope this helped

Answer:

1. [tex]\frac{135}{360}[/tex]xπx[tex]11^{2}[/tex]=142.5cm

2a. [tex]x^{2}[/tex] +2x= x(x+2)

2b. [tex]2x^{2}[/tex]-6x= 2x(x-3)

2c. 15x-10[tex]x^{3}[/tex]= 5x(3x-2[tex]x^{2}[/tex])

2d. 9[tex]x^{2}[/tex]+3[tex]x^{3}[/tex]= 3[tex]x^{2}[/tex](3+x)

3a. (x+8) (x+2)

3b. (X+4) (x+3)

3c. (x+12) (x+1)

4a. 4522.145

4b. 278.15

5a. 14.3

5b. 43.19

Answer:more free points yay

Step-by-step explanation:

Answer: 75/7 or 10.71 (rounded)

Step-by-step explanation:

Mean = Average

To find the average you should add all the numbers together and then divide it by the amount of numbers.

In this question, the formula is [tex]\frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}[/tex]

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

The list of the first 7 odd prime numbers:

3, 5, 7, 11, 13, 17, 19

Now, add them together

3+5+7+11+13+17+19=75

Divide the sum by 7

75÷7=75/7=10.71 (rounded)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

y= -x+9

❤hope its helpful

THANK YOU.

Answer:

Step-by-step explanation:

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

[tex]\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{4+a}{2}=\dfrac{-1}{2}[/tex]

[tex]4+a=-1[/tex]

[tex]a=-1-4[/tex]

[tex]a=-5[/tex]

And,

[tex]\dfrac{5+b}{2}=\dfrac{3}{2}[/tex]

[tex]5+b=3[/tex]

[tex]b=3-5[/tex]

[tex]b=-2[/tex]

Therefore, the coordinates of fourth vertex are (-5,-2).

Answer:

Y = 1.25x - 20

Step-by-step explanation:

Everytime she rides the bus 1.25 is taken away from that 20.

The x = Every ride

For example

say she rode the bus 5 times so it would be

1.25 × 5 = 6.25 now you take the answer and subtract it from the 20

20 - 6.25 = 13.75

I hope this helped :)

Answer:

£45

Step-by-step explanation:

Given data

P= £300

R=5%

T= 3 years

SI= PRT/100

substitute

SI= 300*5*3/100

SI=4500/100

SI= £45

Hence the interest is  £45

i hope my answer help you

1st=5x-100

2nd=1/3x-7

3rd=x²×4

Answer:

6/5

Step-by-step explanation:

24/20 = 6/5

Answer: it would be 5/6

Step-by-step explanation:

24 and 20 are both divisible by 4 so you divide both by 4 and get 5 over 6. you can not simplify it anymore from that.

Answer:

30

Step-by-step explanation:

? = 180 - 150 = 30

Answer:

30°

Step-by-step explanation:

The line is 180 degrees so all you have to do is subtract 150° from 180°

You should end up with 30°

Whenever you see a straight line (IT HAS TO BE STRAIGHT), it is equal to 180°.

Answer:

Graph A represents the inequality x > 6.

A

Hope this helps have a great day

Answer: p=7/2=3.5

Step-by-step explanation:

Given

-4p+9=-5

Subtract 9 on both sides

-4p+9-9=-5-9

-4p=-14

Divide -4 on both sides

-4p/-4=-14/-4

p=7/2=3.5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

a

Step-by-step explanation:

Answer:

$638.16

Step-by-step explanation:

594.99x7.25%=43.17

594.99+43.17=638.18

Answer:

The estimated sales were $260 million

Step-by-step explanation:

Assume the endpoints of a segment are (x1,y1) and (x2,y2).

The midpoint (xm,ym) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

The sales ov Cars, Inc. were (2008,240 million) and (2010,280 million). We need to use the midpoint to estimate the sales in 2009:

[tex]\displaystyle x_m=\frac{2008+2010}{2}=2009[/tex]

[tex]\displaystyle y_m=\frac{240+280}{2}=260[/tex]

The estimated sales were $260 million

Answer:

x = 2

Explanation:

according to BPT theorem,

BD BE

---- = ----

DA EC

6 x+1

--- = ----

4 x

6x = 4x +4 ( cross multiplication)

transposing,

6x -4x=4

2x= 4

x= 2

hence x=2

BE = x+1 =2+1 =3

EC = x =2

Answer:

(-2,5)

Step-by-step explanation:

D must be the same height (y) as A so  y= 5

D must have the same x as C so x = -2

so D = (-2,5)