Help please quick!!!!!!

By the definition of the vertex form of the quadratic equation x - 1 = 6 · (y + 6)² has its vertex at (h, k) = (- 6, 1) and opens to the right. (Correct choices: A, B)

In this problem we find the definition of a quadratic equation in vertex form, whose axis of symmetry is parallel to the x-axis. This form of quadratic equation is described below:

x - h = C · (y - k)²

Where:

Please notice that the parabola opens to the right (+ x direction) when the vertex constant is greater than 0. By direct inspection, we have the following conclusions:

To learn more on parabolas: https://brainly.com/question/21685473

#SPJ1

The completion of the credit card table is as follows:

Month Carryover    Finance      New         Ending

            Balance     Charge   Purchase     Balance    Payment

1            $600         $10.60        $70         $680.60      $47.64

2           $632.96     $11.12         $70          $714.08      $49.99

Credit card attracts finance charges.

The finance charges are the interest for using some credit to finance purchases.

Most finance charges are based on the annual percentage rate (APR), which may also be used to obtain the monthly percentage rate (MPR) by dividing the APR by 12.

The finance charge is applied to the unpaid balance at the end of the period, which may be daily, weekly, or monthly.

Carryover balance = $600

Annual percentage rate (APR) = 18.99%

Monthly percentage rate (MPR) = 1.5825% (18.99% ÷ 12)

Recurring monthly purchase = $70

Monthly payment = 7% of the ending balance

The finance charge for month 1 = $10.60 ($600 + $70 x 1.5825%)

Payment for month 1 = $47.64 ($680.60 x 7%)

Carryover balance for month 1 = $632.96 ($680.60 - $47.64)

The finance charge for month 2 = $11.12 ($632.96 + $70 x 1.5825%)

Payment for month 2 = $47.64 ($714.08 x 7%)

Learn more about credit card finance charges at https://brainly.com/question/22717601

#SPJ1

Answer:

Step-by-step explanation:

[tex]\frac{3}{n}[/tex] - 10.

The quotient of 3 and a number translates to [tex]\frac{3}{n}[/tex], then, all you have to do is subtract 10 from that value, giving the expression above.

Probability of landing on red 0.9%, when Yolanda spun the dial 1000 times.

What is probability?

The probability of an event can be calculated using the probability formula by simply dividing the favorable number of possibilities by the total number of outcomes. The likelihood of an event occurring can be anywhere between 0 and 1, as the favorable number of outcomes can never exceed the total number of outcomes.

A spinner with 10 equally sized slices has 4 yellow slices, 4 red slices, and 2 blue slices.

Yolanda spun the dial 1000 times.

P( getting red)  = 19/1000

From the chart, there are 19  red out of 1000

Experimental probability of landing on red

= Number of red outcomes / Total number of spins

= 9/1000

Experimental probability of landing on red 0.009.

Hence, Probability of landing on red 0.9%

Learn more about probability, by the following link.

brainly.com/question/24756209

#SPJ1

Answer:17

Step-by-step explanation:

Substitute: 25-4x2

Calculate the product or quotient: 25-8

Calculate the sum or difference: 17

Answer: 17

The converse, inverse, contrapositive and biconditional for the given sentences has been written down for a better understanding.

Two assertions that are logically opposed to one another are referred to be inverse statements. An inverted statement would be "It is raining" and "It is not raining."Biconditional statements can be both true and untrue depending on the veracity or falsity of each of its component elements. For instance, "If it is raining, then the ground is wet" is a biconditional statement because if it is raining, the ground will be wet, and if it is not raining, the ground won't be wet. In other words, the truth or falsehood of the first part (it is raining) determines the truth or falsehood of the second part.

How to solve?

Converse: If studying hurts your grade, then studying also helps your grade.

Inverse: If studying does not help your grade, then studying does not hurt your grade.

Contrapositive: If studying does not hurt your grade, then studying does not help your grade.

Bi-conditional: Studying helps your grade if and only if studying also hurts your grade.

The conditional is false.

The converse is false.

The bi-conditional is false.

To learn more about inverse statements, visit:

https://brainly.com/question/5338106

#SPJ1

You planted the tomato seeds on the 10th of May

The complete question is added at the end of this solution

From the question, we have the following parameters that can be used in our computation:

Number of days to ripe = 80 days

Date the tomato seed is eaten = July 29

The above parameters can be represented using the following subtraction equation:

The date you planted the seeds = Date the tomato seed is eaten - Number of days to ripe

Substitute the known values in the above equation, so, we have the following representation

The date you planted the seeds = July 29 - 80 days

Evaluate the difference

So, we have the following representation

The date you planted the seeds = May 10

Hence, the date you planted the seeds is May 10

Read more about subtraction at

https://brainly.com/question/17301989

#SPJ1

Complete question

It takes a tomato seed an average of 80 days to ripe. If you eat ripe tomatoes on July 29. When did you plant the tomato seeds?

Answer:

1. The problem involves finding the length of a slide about a ladder. The slide and the ladder form a right triangle, with the ground and the slide as the hypotenuse.

2. The top of the ladder is 10 feet above the ground, and the bottom of the ladder is 12 feet from the bottom of the slide.

3. In order to solve this problem, a diagram can be used to represent the scenario.

4. Label the bottom of the slide as point A, the bottom of the ladder as point B, and the top of the ladder as point C.

5. Draw a straight line from point A to point B and label it 12 feet.

6. Draw a straight line from point B to point C and label it 10 feet.

7. Draw a straight line from point A to point C, which is the hypotenuse of the triangle.

8. Use the Pythagorean Theorem to find the length of the hypotenuse.

9. The Pythagorean Theorem states that a2 + b2 = c2, where a and b are the sides of the triangle and c is the hypotenuse.

10. In this problem, a is 12 feet, and b is 10 feet. Plugging these values into the equation, we get 122 + 102 = c2. Solving for c, we get that the length of the slide is 14.04 feet to the nearest tenth of a foot.

Step-by-step explanation:

Answer:

y = 4x - 22

Step-by-step explanation:

y = 4x + b

-2 = 4(5) + b

-2 = 20 + b

b = -22

y = 4x - 22

Answer:

x(7y)x(7y)

Step-by-step explanation:

The given expression: 7(xy)7(xy)

i.e. a product of 7 and xy.

The operation used here: Multiplication.

Commutative property of multiplication :-

a\times b=b\times aa×b=b×a for any numbers a and b.

Associative property of multiplication :-

a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.

Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]

=(x7)y=(x7)y [Commutative property of multiplication]

=x(7y)=x(7y) [Associative property of multiplication]

Answer: 27/70

the area of the shaded rectangle

Step-by-step explanation:

9/10 and 3/7 of the rectangle are shaded on top and bttom. So you multiple this together and you will get 27/70

9/10 x 3/7 = 27/70

The values of the objective function obtained for the given set of equation is 7.

For the stated question-

Objective function z = x1+2x2

Constraints

Subtract equation 2 from 1.

x1 = 8 - 5

x1 = 3

Put value if x1 in eq 2

x1 + x2 = 5  

x2 = 5 - 3

x2 = 2

Put the values of x1 and x2 in Objective function

z = x1 + 2x2

z = 3 + 2x2

z = 7

Thus, the values of the objective function obtained for the given set of equation is 7.

To know more about the Linear Programming Problems, here

https://brainly.com/question/14309521

#SPJ1

Answer:

D'(-6, -9)

Step-by-step explanation:

When a point is reflected over the x-axis, the x-coordinate remains the same. The reflected point is the same distance from the x-axis as the original point, but it's on the other side of the x-axis, so the y-coordinate changes sign.

In general, point (x, y) reflected over the x-axis becomes point (x, -y).

Here, point D(-6, 9) becomes point D'(-6, -9).

Set up your equation

4q + q = 315                      Add                                  (q = amount of quarters)

5q = 315                            Divide

q = 63                              

Therefore he has 63 quarters.

To find the amount of nickels, multiply 4 and 63

4 x 63 = 252

Therefore he has 63 quarters and 252 nickels.

I hope this helps! :)

Answers:

=====================================================

Explanation:

A conditional statement is of the form "if..., then..."

For example, "If it rains, then the grass gets wet" is a conditional statement.

We can have a basic template of "If P, then Q" to represent any conditional. The P and Q are placeholders for logical statements.

The converse of that conditional is "If Q, then P". We swap P and Q.

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

So let's say we had this original conditional:

The converse would be:

Similar ideas apply for the other converses as well.

Answer:

If alternate interior angles are congruent, then lines are parallel.

If alternate exterior angles are congruent, then lines are parallel.

If corresponding angles are congruent, then lines are parallel.

If consecutive interior angles are supplementary, then lines are parallel.

If consecutive interior angles are supplementary, then lines are parallel.

Step-by-step explanation:

Converse

The converse of a statement is formed by switching the hypothesis and the conclusion.

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

Given statement:  If lines are parallel, then alternate interior angles are congruent.

Converse statement:  If alternate interior angles are congruent, then lines are parallel.

Given statement:  If lines are parallel, then alternate exterior angles are congruent.

Converse statement:  If alternate exterior angles are congruent, then lines are parallel.

Given statement:  If lines are parallel, then corresponding angles are congruent.

Converse statement:  If corresponding angles are congruent, then lines are parallel.

Given statement:  If lines are parallel, then consecutive interior angles are supplementary.

Converse statement:  If consecutive interior angles are supplementary, then lines are parallel.

Given statement:  If lines are parallel, then consecutive exterior angles are supplementary.

Converse statement:  If consecutive exterior angles are supplementary, then lines are parallel.

Answer:

$85

Step-by-step explanation:

x=0     p= 85 => (0,85) {y-intercept}

p=0     x= -3400 => (-3400,0) {x-intercept}

y-intercept means Isaiah sells $0, then the company will pay him $85.

The equation of the line in slope-intercept form that passes through (3, 4) and (4, 9) is: y = 5x - 11.

The equation of a line can be written in point-slope form as y - b = m(x - a), if we know the slope (m) and a point (a, b) on the line. It can be rewritten to the slope-intercept form as y = mx + b.

Given the points on a line:

(3, 4) and (4, 9)

Slope of the line (m) = change in y / change in x = (9 - 4)/(4 - 3)

Slope of the line (m) = 5/1

m = 5

To write the equation of the line, substitute m = 5 and (a, b) = (3, 4) into y - b = m(x - a):

y - 4 = 5(x - 3)

Rewrite in slope-intercept form:

y - 4 = 5x - 15

y = 5x - 15 + 4

y = 5x - 11 [equation of the line]

Learn more about the equation of a line on:

https://brainly.com/question/18831322

#SPJ1

The correct option is C. The statement is true because there are 50 possible IQ scores.

For the given question-

The frequency for the total students are given on the graph.

The highest frequency is for 30 people.

The difference in the IQ score are ; 130 - 70 = 50

Thus, the statement that graph is based on a sample of approximately 50 people the is true because there are 50 possible IQ scores.

To know more about the frequency of the graph, here

https://brainly.com/question/15422753

#SPJ1

The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

Learn more about polynomials: https://brainly.com/question/2833285

#SPJ1

Answer: 0.75 inches per hour

Step-by-step explanation:

9/12=0.75
0.75 x 12 = 9
0.75 inches per hour

Answer:  4.5 hours.

Step-by-step explanation:

Use a proportion.

3 3/8 = 3.375

9 inch is to 12 hours as 3.75 inches is to x hours.

9/12 = 3.375/x

3/4 = 3.375/x

3x = 4 * 3.375

x = 4 * 1.125

x = 4.5

Answer: 4.5 hours

Answer: y=-x

Step-by-step explanation:

Choose 2 coordinates: (-2,2) and (2,-2)

Let us find the slope m:

[tex]\displaystyle\\m=\frac{y_2-y_1}{x_2-x_1} \\\\x_1=-2\ \ \ \ \ x_2=2\ \ \ \ \ y_1=2\ \ \ \ \ y_2=-2\\\\m=\frac{-2-2}{2-(-2)} \\\\m=\frac{-4}{2+2} \\\\m=\frac{-4}{4} \\\\m=-1\\[/tex]

Hence,

y=-x+b

To find the coefficient b, choose any coordinate belonging to the given line, for example (-2,2):

2=-(-2)+b

2=2+b

0=b

Hence, b=0

Thus, y=-x

Answer: [tex]C. \frac{125}{7}[/tex]

Step-by-step explanation:

1. Find the sum of the infinite geometric sequence:

[tex]S = \frac{125}{7}[/tex]

2. Find the correct option:

C

a) The net for the sale is: $4,500

b) The capital gain is $2,200

We know that you had 100 shares, now the value of each of these is $45.00, then the amount that you make if you sell the 100 shares is:

S = 100*$45.00 = $4,500

The capital gain is the difference between the amount we found above and the amount you paid for the shares.

The price of the shares was $23.00, then the amount you paid is:

C = $23.00*100 = $2,300

Then the capital gain is:

g = $4,500 - $2,300 = $2,200

Learn more about capital gain:

https://brainly.com/question/1259480

#SPJ1

Answer:

Step-by-step explanation:

x=0

y=3(1/4)^x-1

y=3(1/4)^0-1

y=3(1)-1

y=2

y intercept is at (0,2)

Answer: y=7x-5

Step-by-step explanation: Use the points to find the equation of y-(y1) = m (x- and x1)

The slope is 7.  and x1 and y1 is (2,9)

Here is y-9=7 is (x-2). Then y-9=7 is (x-2)]

Multiply 7x-2, then you get y-9=7x-14 then now we got y=7x-5! :)

Answer: $279.40

Step-by-step explanation:

To find how much he is paying in property taxes, you have to multiply the maintenance fee by the percentage you are given, so

1,397×20%=279.40

Answer:

$3,352.80

Step-by-step explanation:

This is the correct answer

The value of the ratio of the perimeters of the rectangles PQTU and PRSU is 30:36, that is 5:6.

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Equation for perimeter of a rectangle (P) =2 (l + w), where l is the length and w is the width.

In the question, length of rectangle PQTU= 11cm

Width of rectangle PQTU= 4 cm

Perimeter of rectangle PQTU= 2( 11+4)

                                                = 2 x 15

                                                = 30 cm

The length of the rectangle PRSU= 11cm

The width of the rectangle PRSU= PQ + QR

                                                      = 4+3 = 7

The perimeter of the rectangle PRSU= 2(11+7)

                                                              = 36 cm

Therefore, perimeter of PQTU: perimeter of PRSU = 30:36

Dividing by 6 on both= 30/6 :36/6 = 5:6

To know more about perimeter, visit:

https://brainly.com/question/6465134

#SPJ1