A restaurant bill is $20. Find the 15% tip.

Answer:

[tex]3(x - 1)^2 - 11= 0[/tex]

Step-by-step explanation:

Given

[tex]3x^2 - 6x = 8[/tex]

Required

Rewrite in form of [tex]3(x - p)^2 + q = 0[/tex]

[tex]3x^2 - 6x = 8[/tex]

Subtract 8 from both sides

[tex]3x^2 - 6x - 8 = 8 - 8[/tex]

[tex]3x^2 - 6x - 8 = 0[/tex]

Express -8 as 3 - 11;

So, we have:

[tex]3x^2 - 6x + 3 - 11= 0[/tex]

Expand [tex]3x^2 - 6x + 3[/tex]

[tex]3(x^2 - 2x + 1) - 11= 0[/tex]

Factorize the expression in the bracket;

[tex]3(x^2 - x -x + 1) - 11= 0[/tex]

[tex]3(x(x - 1) -1(x - 1)) - 11= 0[/tex]

[tex]3((x - 1)^2) - 11= 0[/tex]

[tex]3(x - 1)^2 - 11= 0[/tex]

By comparison: [tex]3(x - p)^2 + q = 0[/tex]

[tex]p= 1[/tex]

[tex]q = -11[/tex]

Answer:

-2

Step-by-step explanation:

m = 10 / -5 = 2 / -1 = -2

Answer:

18.2

Step-by-step explanation:

Since the hundreds place is less than 5, it stays the same.

Answer:

18.2, haven't done this for a while now, but I think that should be correct :)

Answer:

In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).

Step-by-step explanation:

I hope this helps, sorry if it doesn't good luck

It is false that Every relation that is linear, must also be a function.

Given that,
A statement is to be justify that, whether is true and false that Every relation that is linear, must also be a function.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

Linear functions are defined as functions whose graph is a straight line. A linear function has the following form. example f(x) = 1 + 2x. A linear function has only independent variable and only a dependent variable.

Let's understand with an example,
If y = 1 *[tex]x^0[/tex] , is a linear function but it's a verticle straight line. for every value of x, y is independent of x so for the function it is necessary that the function should be consist of an independent variable and a dependent variable,
Implies every function that is linear must not also a function.

Thus, It is false that Every relation that is linear must also be a function.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Answer:

Jared transfers $55 to his checking account from his savings account.

Jared spends $55 from his checking account to purchase a college Algebra textbook

Jared withdraws $55 from his checking account

Hope this helps!

Answer:

<X= 111 , <Y= 69, <Z 111

Step-by-step explanation:

X and Z are corresponding

solve for Y

180-111= 69

Answer:

1560/c

Step-by-step explanation:

if you divide 1560 by c the value you get will be the cost of one calculator.

Answer:

The answer is D. 1560/c

Step-by-step explanation:  

If you divide 1560 by c you will get the cost of one calculator.

Answer:24.54054 times larger

Step-by-step explanation: Divide 22700000 by 925000 and it gives you 24.54054 in the calculator

Answer:

796p

Step-by-step explanation:

If three cartens come in a sigle packege you see how many cartons you need so that would 26/3 wich is some what 8, so you do 90*8 to see how much you'ev spent so far. Now you know that you have 24 cartons so far because you multiply 3 and 8. Lastly, you just add 76 because you need two more cartons. :)

Answer:

b

Step-by-step explanation:

hope this helps

Answer:

c 78

Step-by-step explanation:

Answer:

x=−y−1

Step-by-step explanation:

y=−x−1

Step 1: Flip the equation.

−x−1=y

Step 2: Add 1 to both sides.

−x−1+1=y+1

−x=y+1

Step 3: Divide both sides by -1.

−x

−1

=

y+1

−1

x=−y−1

Answer:

1.91

Step-by-step explanation:

Duncan had 3.8 and used 1.89 obviously we can't subtract right now so we have to add a 0 to 3.8 so it would 3.80 - 1.89 = 1.91

Answer:

The measures of the angles of polygon ABCD are equal to the measures of the corresponding angles of both translated images. This means that the angles of the  polygon are preserved as the figure is translated in any direction.

Step-by-step explanation:

Answer:

The measures of the interior angles of polygon ABCD are equal to the measures of the corresponding angles in the reflected image. This means that angle measurements of the polygon are preserved as the image is reflected. The same is true for the side lengths. The measures of both angles and sides are preserved in a reflection. A reflection is a rigid transformation.

Step-by-step explanation:

plato

Answer:

3_5/6 hours

Step-by-step explanation:

2_ 1/3 = 2_ 4/12

1_3/4 = 1_6/12

2_4/12 + 1_6/12 = 3_10/12

3_10/12 = 3_5/6

Answer:

0

Step-by-step explanation:

Using the trigonometric identity

cotx = [tex]\frac{cosx}{sinx}[/tex]

Given

3cotθ = 2 , then

3[tex]\frac{coso}{sino}[/tex] = 2 ( multiply both sides by sinθ )

3cosθ = 2sinθ ( subtract 3cosθ from both sides )

2sinθ - 3cosθ = 0

Thus

[tex]\frac{2sin0-3cos0}{2sin0+3cos0}[/tex]

= [tex]\frac{0}{2sin0+3cos0}[/tex]

= 0

Answer:

;)

Step-by-step explanation:

Answer:

56.6%

Step-by-step explanation:

To calculate percent decrease, you first subtract the original number with the final number.

2.26 - 0.98 = 1.28

Then, you divide your answer by the original number.

1.28/2.26 = 0.56637168141

Finally, you multiply your answer by 100 and round as necessary.

0.56637168141 x 100 = 56.637168141

Answer: The students can be divided into 7 groups.

Each group will have 3 boys and 8 girls.

Step-by-step explanation:

There are 21 boys and 56 girls.

To divide them so that each group has the same number of both boys and girls.

We find GCD(21,56).

21 = 3 x 7

56 = 2 x 2 x 2 x 7

GCD (21,56) = 7

So, the students can be divided into 7 groups.

Number of girls in each group = [tex]\dfrac{56}{7}=8[/tex]

Number of boys in each group = [tex]\dfrac{21}{7}=3[/tex]

So, each group will have 3 boys and 8 girls.

Answer:

297.50

Step-by-step explanation:

This would be considered a markdown because the guitar is on sale.

DEF will be 2.68

EF will be .67

Answer:

$30

$90

Step-by-step explanation:

Given parameters:

    Selling price of belt = $120

     Percentage discount = 25%

Unknown:

Discount = ?

Sale price of the dress  = ?

Solution:

Discount is a reduction in the price of a commodity.

     Discount  = percentage discount x selling price of belt

 Input the parameters and solve;

I.    Discount  = [tex]\frac{25}{100}[/tex] x 120 = $30

II. Sale price of the dress;

               = selling price - discount amount

                 = $120 - $30

                  = $90

Answer:

x< 3/2 hope this helps <3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

Step 2: Subtract x from both sides.

Step 3: Subtract 3/2 from both sides.

Answer:

2.67 days each

Step-by-step explanation:

Answer: 2.67

Step-by-step explanation:

Answer:

[tex]g(x) = (x-a,-y - b)[/tex]

Step-by-step explanation:

Given

Represent f(x) as follows:

[tex]f(x) = (x,y)[/tex]

Transformations:

Horizontally shifted right by a

Reflected across x axis

Vertically shifted down by b

Taking the transformations one after the other.

Horizontally shifted right by a

When a function is shifted right, the resulting function is:

[tex]f' = (x-a,y)[/tex]

Reflected across x axis

Here, the x axis remains unaltered while the y axis is negated

[tex]f' = (x-a,y)[/tex]

becomes

[tex]f" = (x-a,-y)[/tex]

Vertically shifted down by b

When a function is shifted down by b, the resulting function is:

[tex]f"' = f" - b[/tex]

i.e, subtract b from the function (f(x) or y, as the case may be)

So, we have:

[tex]f"' = (x-a,-y - b)[/tex]

Represent f"' with g(x)

[tex]g(x) = (x-a,-y - b)[/tex]

Answer:

A

Step-by-step explanation:

Answer:

She made an average of 145$ per day.

Step-by-step explanation:

If she earned 725$ in 5 days, just divide 725 by 5 for your average a day.

Answer:

a) 9 whole batches can be made

b) The cost of sugar for each batch = $0.26

Step-by-step explanation:

A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49.

This means:

2 pound bag of sugar = 227 teaspoon servings

2 pounds bag of sugar cost $2.49

We are told that:

A batch of muffins uses 1/2 cup of sugar.

a).How many whole batches can you make if you use as much of the sugar as possible?

(1 cup = 48 teaspoons)

Hence, A batch of muffins = 1/2 cups of sugar = 48 teaspoons of sugar ÷ 2

= 24 teaspoons of sugar

Hence:

24 teaspoons of sugar = 1 batch of muffins

227 teaspoons of sugar = x

Cross Multiply

24 × x = 1 × 227

x = 227/24

x = 9.4583333333 batches of muffins

We are asked to name the number of whole batches that can be made.

Therefore, 9 whole batches of muffins can be made

b) What is the cost of sugar for each batch? (do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.

Since we are not to consider the leftover sugar in the cost calculation,

1 batch = 24 teaspoons of sugar

9 whole batches =

9 × 24 teaspoons = 216 teaspoons of sugar was used

The left over = 227 - 216 = 11 teaspoons of sugar is left

We know that:

227 teaspoons of sugar = $2.49

216 teaspoons of sugar = x

Cross Multiply

= 216 × $2.49/227

= $2.369339207

24 teaspoons of sugar = 1 batch of muffins

Therefore,

216 teaspoons of sugar =

$2.369339207

24 teaspoons of sugar =

24 × $2.369339207/ 216

= $0.2632599119

Approximately = $0.26

Therefore, the cost of sugar for each batch = $0.26

Answer:

hey do you want to do a zoom

Step-by-step explanation:

i am done with my basketball game