F(x)=(x+2)^2 (x-3) graph the function

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:

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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]

The solution to the given linear inequality, r - 6 > -11, is r > -5

From the question, we are to determine the solution of the given inequality

The given inequality is

r - 6 > -11

To determine the solution of the inequality, we will solve the inequality for the unknown variable.

In the inequality, the unknown variable is r.

Solving the inequality for r

r - 6 > -11

Add 6 to both sides

r - 6 + 6 > -11 + 6

r > -5

Hence, the solution is r > -5

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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:17

Step-by-step explanation:

Substitute: 25-4x2

Calculate the product or quotient: 25-8

Calculate the sum or difference: 17

Answer: 17

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

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.

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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%)

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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.

Answer:

B

Step-by-step explanation:

x² + 3x + 3 = 4 ( subtract 3 from both sides )

x² + 3x = 1

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2( [tex]\frac{3}{2}[/tex] )x + ([tex]\frac{3}{2}[/tex] )² = 1 + ( [tex]\frac{3}{2}[/tex] )²

(x + [tex]\frac{3}{2}[/tex] )² + [tex]\frac{9}{4}[/tex] = 1 + [tex]\frac{9}{4}[/tex]

that is [tex]\frac{9}{4}[/tex] is added to both sides

Answer:

y = 4x - 22

Step-by-step explanation:

y = 4x + b

-2 = 4(5) + b

-2 = 20 + b

b = -22

y = 4x - 22

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).

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

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

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! :)

Answer:

59

Step-by-step explanation:

31+4 × [11-(1+3)]

31+4*[11-4]

31+4*(7)

31+28

59

The easy Answer is 59. When doing these types of questions remember:

Parentheses

Exponents

Multiplication

Divionsion

Add

Subtract

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

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:

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)

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]

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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.

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.

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The number of solution of the equation x + 2 = 3y will be infinite for the infinite value of 'x'. The solution is (1, 1).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given below.

x + 2 = 3y

There is only one equation, so we have to assume 'x'.

If x = 1, then the value of the variable 'y' is given as,

3y = 1 + 2

3y = 3

y = 3 / 3

y = 1

Similarly, the number of solution of the equation x + 2 = 3y will be infinite for the infinite value of 'x'.

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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

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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 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

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