6. Find the total bill:
5 golf clubs at $18.65 each
60 golf balls at $16.50 per dozen
I pair of golf shoes at $75.80
Sales tax at 15% is added to the total cost.
hers who cach pay $​

Answer:  [tex]a)\ \text{Vertex}:y=-\dfrac{3}{2}(x+1)^2+6[/tex]

                [tex]b)\ \text{Standard}:y=-\dfrac{3}{2}x^2-3x=\dfrac{9}{2}[/tex]

              c) Transformations: reflection over the x-axis,

                                               vertical stretch by a factor of 3/2,

                                               horizontal shift 1 unit to the left,

                                               vertical shift 6 units up

Step-by-step explanation:

Intercept form: y = a(x - p)(x - q)

Vertex form: y = a(x - h)² + k

Standard form: y = ax² + bx + c

We can see that the new vertex is (-1, 6). Use the Intercept form to find the vertical stretch: y = a(x - p)(x - q) where p, q are the intercepts.

p = -3, q = 1, (x, y) = (-1, 6)

a(-1 + 3)(-1 -1) = 6

       a (2)(-2) = 6

                a  = -6/4

                 a = -3/2

a) Input a = -3/2 and vertex (h, k) = (-1, 6) into the Vertex form to get:

[tex]y=-\dfrac{3}{2}(x+1)^2+6[/tex]

b) Input a = -3/2 into the Intercept form and expand to get the Standard form:

[tex]y=-\dfrac{3}{2}(x+3)(x-1)\\\\\\y=-\dfrac{3}{2}(x^2+2x-3)\\\\\\y=-\dfrac{3}{2}x^2-3x+\dfrac{9}{2}[/tex]

c) Use the Vertex form to identify the transformations:

[tex]y=-\dfrac{3}{2}(x+1)^2+6[/tex]

Answer:

3.14 square cm

Step-by-step explanation:

Since, a coin is circular in shape, hence its area would be equal to the area of a circle.

[tex]\therefore are \: of \: coin = \pi {r}^{2} \\ = 3.14 \times {1}^{2} \\ = 3.14 \times 1 \\ = 3.14 \: {cm}^{2} \\ [/tex]

Answer:760$ in a week because they worked 5 out of 7 days and made 152$ a day

Step-by-step explanation:

9.5 x 16 = $152

152 x 5 (only weekdays)

<!> Branliest is appreciated! <!>

Answer:

B. 7

Step-by-step explanation:

Hey there! :)

Answer:

a. b = y - mx

b. x = y - b /m

c. t = I/ pr

d. t = A - p/pr

Step-by-step explanation:

a. y = mx + b (for b)

Isolate the b variable by subtracting both sides by mx:

y - mx = b.

Therefore:

b = y - mx.

b. y = mx + b (for x)

Subtract 'b' from both sides:

y - b = mx

Divide 'm' from both sides:

y - b / m = x

c. I = prt

Divide both sides by pr:

I /pr = t.

d. A = p + prt

Subtract p from both sides:

A - p = prt

Divide both sides by pr:

A - p / pr = t

Anwer:3.537m

STEP BY STEP EXPLANATIOND:using SOH CAH TOA

First find the opposite

Represent the opposite with x

Tan 33° =x\10

x=10Tan 33°

x=6.494

To find m

Sin 33°=m\6.494 Sin 33°

m=3.5368

m=3.537meteres

Answer:

D. the exponent can be odd

Step-by-step explanation:

A. (-4)² = 16 ⇒ -4 is even and the product is positive.

B. (-5)² = 25 ⇒ -5 is odd and the product is positive.

C. (-5)⁴ = 625 ⇒ The exponent 4 is even and the product is positive.

D. (-5)⁵ = -3125 ⇒ The exponent 5 is odd and the product is negative.

So, the answer is D.

Hope this helps.

Answer:

Graph 1 shows a negative correlation, and graph 2 shows a positive correlation. This is because in graph one, as x increases, y decreases, and in graph two as x increases, y also increases.

Answer:

8-in of snow each day

Step-by-step explanation:

Answer:

8 inches of snow each day

Step-by-step explanation:

hope this helps :)

Answer:

y = -5x

Step-by-step explanation:

Which of the following linear equations passes through points (-1, 5) and (1, -5)?

y = -5x

y = 5x + 10

y = -2x + 3

None of these choices are correct.

Solution:

First find slope of equation:

slope, m = (y2-y1) / (x2-x1) = (5-(-5) / (-1-1) = 10/(-2) = -5

Now substitute m in the point slope form to find the y-intercept b

y-y1 = m(x-x1)

y-5 =  5(x- -1)

y = -5(x+1) + 5

y = -5x  

Answer:

3

Step-by-step explanation:

6/2

I hope this is right :)

Answer:

£228.

Step-by-step explanation:

We know that each tile is 20 cm by 20 cm, which works out to be an area of 400 square cm.

The floor is 3 m by 5 m, which means it is 300 cm by 500 cm. 300 * 500 = 150000 square cm in area.

To find how many tiles are necessary, we need to find out the area of the floor divided by the area of the individual tiles.

150,000 / 400 = 1,500 / 4 = 750 / 2 = 375

So, to cover the floor, you will need 375 tiles.

Since tiles come in boxes of 10, you will need to find what is 375 divided by 10 so you can know how many boxes to buy.

375 / 10 = 37.5

Since you absolutely NEED 375 tiles to cover the floor, you need that half of a box, so you will buy 38 boxes of tiles.

Each box costs £6. 38 * £6 = £228. And that is your total cost!

Hope this helps!

Answer:

4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution

Step-by-step explanation:

Examine the system

2 x + 8 y = 15

4 x + 16 y = 30

We see that these equations are identical except for a factor of 2, and thus recognize that this system has infinitely many solutions.

Next, look at the system

2 x minus y = 18

4 x + 2 y = 38

If we divide the second equation by 2, we get the system

2x - y = 18

2x + y = 19

Combining these two equations, we get 4x = 37, which has a solution.

Third, analyze the system

4 x + 7 y = 17                =>  8x + 14y = 34

8 x minus 14 y = 36      => 8x - 14y  = 36, or 16x = 70, which has a solution

Finally, analyze the system

4 x minus 3 y = 16    => -8x + 6y = -32

8 x minus 6 y = 34   =>  8x  - 6y  = 34

If we combine these two equations, we get 0 + 0 = 2, which is, of course, impossible.  This system has no solution.

Answer:

4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution. the 4th option.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Definition: A letter that is placed in an unknown number place.

Example: 8+B+9

        The variable would be B.

Answer:

a varible is a unknown quanity that is represented by a letter for example 'x ' is an variable

Step-by-step explanation

Answer:

36° and 54°

Step-by-step explanation:

Complementary angles are angles whose sum equals to 90°

Hence C +D = 90°

The ratio of C &D = 2:3 respectively

Sum of the ratio = 2+3 = 5

Hence we divide each of the ratio by the sum of the entire ratio and then multiply by 90°

For angle C :

2/5 × 90

2×18 = 36°

For angle D :

3/5× 90

3×18 = 54°

Hence the angles are 36° and 54° respectively

To proof that we are actually right

C+D = 90°

36+54 = 90°

Hence the answer is right.

Answer:

30.

Step-by-step explanation:

The initial value is the value that she starts out with.  This means that she is referring to year 0.  According to the chart, on year 0, she collected 30 shells.

The answer is 30.

Answer:

Time = distance/speed

max distance = 380+10 = 390 m

Max Time = 390/3.9 = 100 s

Answer:

Step-by-step explanation:

You have all your x values to the left. Just take 2 and multiply one by one.

Then in order to graph it, you would take (x,y) and plot it.

For example:

y=2x

y=2(5) = 10

(5,10) - you would plot this on the graph.

1. y = 2x

x | y = 2x | y

5 | y = 2(5) | 10

3 | y = 2(3) | 6

0 | y = 2(0) | 0

-1 | y = 2(-1) | -2

-5 | y = 2(-5) | -10

2. y = 1 + 5x

x | y = 1 + 5x | y

-2 | y = 1 + 5(-2) | -9

-1 | y = 1 + 5(-1) | -4

0 | y = 1 + 5(0) | 1

2 | y = 1 + 5(2) | 11

Answer:

x = 1 , y = 7

Step-by-step explanation:

Solve the following system:

{y = 5 x + 2 | (equation 1)

3 x = 10 - y | (equation 2)

Express the system in standard form:

{-(5 x) + y = 2 | (equation 1)

3 x + y = 10 | (equation 2)

Add 3/5 × (equation 1) to equation 2:

{-(5 x) + y = 2 | (equation 1)

0 x+(8 y)/5 = 56/5 | (equation 2)

Multiply equation 2 by 5/8:

{-(5 x) + y = 2 | (equation 1)

0 x+y = 7 | (equation 2)

Subtract equation 2 from equation 1:

{-(5 x)+0 y = -5 | (equation 1)

0 x+y = 7 | (equation 2)

Divide equation 1 by -5:

{x+0 y = 1 | (equation 1)

0 x+y = 7 | (equation 2)

Collect results:

Answer: {x = 1 , y = 7

Answer:

D) (1,7)

Step-by-step explanation:

just took the test

Answer:

151,200

Step-by-step explanation:

The possible set of numbers will be 151200  

A permutation is an arrangement of objects in a definite order.

Given that, John want to find his bicycle's number, so he decided to write down all the possible 6-digit numbers from 0 to 9.

Here, we will use permutation to find the possible numbers,

Formula =

ⁿPₓ = n! / (n-x)!

Therefore,

¹⁰P₆ = 10! / (10-6)!

= 10! / 4!

= 10 × 9 × 8 × 7 × 6 × 5 = 151200

Hence, the possible set of numbers will be 151200  

Learn more about permutation, click;

https://brainly.com/question/1216161

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Answer:

$850.7

Step-by-step explanation:

Penelope has $1459.75 in her account.

She pays different amount that are given above.

i.e.

=1459.75-200.25-359.45-125-299.35

=475.7

Then she deposit $375

Now,

=475.7+375

=850.7

So, She has $850.7 in her account after she pays her bills and makes deposits.

Answer:

$805.7 OwO

Step-by-step explanation:

Answer:

-27p^2 q^2 +6p^3 -2p^4 -q^3

Step-by-step explanation:

COMBINE LIKE TERMS

Answer:

To find h the altitude we use sine

sin ∅ = opposite / hypotenuse

From the question

AC is the hypotenuse

h is the opposite

sin 29 = h / 23

h = 23 sin 29

h = 11.1506

h = 11.00mm to the nearest hundredth

Hope this helps you

Answer:

Their speed is 32 km/h.

Step-by-step explanation:

Since they're at the same speed, we can assign a variable to their speed called "x". When the first car increases its speed by 1 km/h, its new speed is "x + 1", while the other car decreases its speed by 10 km/h, so its new speed is "x - 10". The distance's formula can be expressed as below:

[tex]\text{distance} = \text{speed}*\text{time}\\[/tex]

With the modifications to their speed, the distance the first car covers in 2 h and the distance the second car covers in 3 h is shown below:

[tex]\text{distance}_{car1} = (x + 1)*2 \\\text{distance}_{car1} = 2*x + 2[/tex]

[tex]\text{distance}_{car2} = \text{speed}*\text{time}\\\text{distance}_{car2} = (x - 10)*3\\\text{distance}_{car2} = 3*x - 30[/tex]

Since the distance covered by them must be the same, we can find the value of x that makes the expressions equal.

[tex]2*x + 2 = 3*x - 30\\2*x - 3*x = -30 -2\\-x = -32\\x = 32[/tex]

Their speed is 32 km/h.

X is equal to 28

Hope this helps......

Answer:

504 committees

Step-by-step explanation:

In this scenario, there are 9 choices to choose the first person (not 10 because the committee should not include Mark), 8 choices for the second person and 7 choices for the last person so the answer is 9 * 8 * 7 = 504.

Answer:

B.

Step-by-step explanation:

"negative reciprocal slopes" means the lines are perpendicular, so they will always intersect.

Hence there will be exactly one solution.

B. The system will have one solution.

The slopes of perpendicular strains, or bisecting strains, are continually terrible reciprocals of each other. For instance, if the slope of a line is -five, then the slope of a line perpendicular to this line will be the negative reciprocal of -five.

If the 2 traces have exclusive slopes, then they'll intersect as soon as. consequently, the gadget of equations has exactly one answer. If the two traces have the equal slope however of kind y-intercepts, then they're parallel strains, and they'll by no means intersect.

Learn more about the system of linear equations here: https://brainly.com/question/14323743

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Answer:

[tex]S^2= \frac{3V}{H}[/tex]

Step-by-step explanation:

V = 1/3 HS^2

Using opposite operations, rewrite the equation so s2 is on one side of the equation by itself.

Answer: Inverse operations are operations that undo each other that is they result to the original number or variable.

There are different inverse operations like addition and subtraction, multiplication and division, square and square root, cube and cube root.

Given that:

[tex]V=\frac{1}{3}HS^2\\ \\Multiplying\ both \ sides\ by \ 3:\\\\V*3=\frac{1}{3}HS^2*3\\\\3V=HS^2\\\\Dividing \ both\ sides\ by H\\\\\frac{3V}{H}=\frac{HS^2}{H}\\\\ \frac{3V}{H}=S^2\\\\Rearranging\ the \ equation:\\\\S^2= \frac{3V}{H}[/tex]