If p(x)=2x^2 -4 and q(x)=x-3, what is (p*q)(x)

Answer:

1/30

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

This statement states that If opposite angles of a quadrilateral are supplementary, then the quadrilateral is a parallelogram.

This is a false statement.

Lets recall the properties of a parallelogram to understand the concept. The definition says that a quadrilateral is said to be a parallelogram if its opposite angles are congruent and two consecutive angles are supplementary.

Therefore the statement is false....

Answer: NUMBER 9 I'm on gradpoint too

Step-by-step explanation:

[tex]\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+6}x\stackrel{\stackrel{c}{\downarrow }}{+9}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{\underline{one solution}}~~\textit{\Large \checkmark}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ 6^2-4(1)(9)\implies 36-36\implies 0[/tex]

Answer:

0

Step-by-step explanation:

Descriminator is calculated by the following formula:

b*b - 4 * a * c, where a,b,c are the numbers in equitation.

The answer is:

[tex](-x^{2}+9)+(3x^2-11x+4)=2x^{2}-11x+13[/tex]

To solve the problem, we must remember how to add/subtract like terms. The like terms are the terms that share the same variable and the same exponent.

For example:

[tex]2x+3x+x^{2}=x^{2}+(2x+3x)=x^{2}+5x[/tex]

We were able to add only the linear terms (terms that contains the variable x") because they were like terms: they share the same variable and the same exponent.

We need to perform the following operation between polynomials:

[tex](-x^{2}+9)+(3x^2-11x+4)[/tex]

So, calculating we have:

[tex](-x^{2}+9)+(3x^2-11x+4)=2x^{2}-11x+13[/tex]

Have a nice day!

d = sqrt (2-(-6))² + (-3-4)²)

d = sqrt ( 8² + 7² )

d = sqrt ( 64 + 49 )

d = sqrt (113)

Answer: The distance between the two points is roughly  10,63:

B)

The distance between the points (2,-3) and (-6,4) on the coordinate plane is 10.63 units. This can be obtained by using the distance formula.

The distance between two points (x₁,y₁) and (x₂,y₂) is

d = [tex]\sqrt{{(x_{2}-x_{1} )}^{2} + (y_{2}-y_{1} )^{2}[/tex]

In the given question, (x₁,y₁) is (2,-3) and (x₂,y₂) is (-6,4),

the distance d =  [tex]\sqrt{{(x_{2}-x_{1} )}^{2} + (y_{2}-y_{1} )^{2}[/tex]

                        =[tex]\sqrt{{((-6)-2 )}^{2} + (4-(-3) )^{2}[/tex]

                        =[tex]\sqrt{{(-8)}^{2} + (7 )^{2}[/tex]

                        = [tex]\sqrt{{64 + 49[/tex]

                        =√113 =10.63 units

Hence the distance between the points (2,-3) and (-6,4) on the coordinate plane is 10.63 units. Thus option B is correct.

Learn more about distance formula here:

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Answer:

[tex]2 {x}^{2} + 8x + 6 \\ 2( {x}^{2} + 4x + 3) \\ = 2( {x}^{2} + x + 3x + 3) \\ = 2(x + 1)(x + 3)[/tex]

Answer:

the answer is correct, just backwards. thanks for your help!

Step-by-step explanation:

Answer:

D. 10i √(3)

Step-by-step explanation:

√(-300)

We know sqrt (ab) = sqrt(a) sqrt(b)

sqrt(-300) = sqrt(-3) sqrt(100)

                 = sqrt(-1) sqrt(3) sqrt(100)

The sqrt(-1) =the imaginary number 1 and sqrt(100) =10

                  = i * sqrt(3) * 10

                    =10i sqrt(3)

Answer:

13

Step-by-step explanation:

Using pythag the. , we see the rule a2+b2=c2 (Square)

so, a2=25, b2= 144,

25+144=c2

c2=169

sqrt=13

Answer:

This is the zero product rule.

Step-by-step explanation:

a: b = 0, then a = 0, b = 0, or both a = 0 and b = 0.

This is the zero product rule.

It shows that for the product to be zero,  at least  one factor must be zero

If a*b= 0: It shows that one of the factor is zero or may be both the factors are zero that is why their resultant product is 0....

The answer is 12 points

I have the table so I added the numbers to get 108, and there are 9 numbers, so yu do 108/9 equaling to 12

Answer:

The length of the third side could be all real numbers greater than 2 units and less than 16 units

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

so

Applying the triangle inequality theorem

Let

x ------> the length of the third side

we have

First case

1) 7+9 > x

16 > x

Rewrite

x< 16 units

Second case

2) 7+x > 9

x > 9-7

x > 2 units

therefore

The solution for the third side is the interval

(2,16)

All real numbers greater than 2 units and less than 16 units

Answer:

Step-by-step explanation:

The absolute value of number a:

|a| = a for a ≥ 0

|a| = -a for a < 0

|9| = 9

|-3| = -(-3) = 3

Answer:

g(2) = 3

Step-by-step explanation:

g(x) = x² - 1.

Substituting 2 for x in this formula, we get:

g(2) = 2² - 1, or g(2) = 3

Answer:

g(2) =3

Step-by-step explanation:

g(x) = x^2 -1

Let x=2

g(2) = 2^2 -1

       =4-1

        =3

Answer:

12

Step-by-step explanation:

  Mass of apples = number of containers × mass in each container

                     6 lb = No of containers × ½ lb

No of containers = 6/½  

To divide a whole number by a fraction, invert the fraction and change divide to multiply.

6/½ = 6 × 2/1

Multiply the numerator by the whole number.

6 × 2/1 = 12/1

Simplify the fraction.

12/1 = 12

Elise can make 12 containers of applesauce.

0,1,4,9

0+1= 1

1+3= 4

4+5= 9

Add the numbers by using an odd number each time.

9+7= 16

16+9= 25

Answer is 16, 25 ( first choice):

0, 1, 4, 9, 16, 25

Answer:

Step-by-step explanation:

A Mutual Fund is invested by Managers in a diversity of stocks bonds and other securities.

A mutual fund is a type of investment in which investors pool their money together to buy a portfolio of stocks, bonds or other securities in order to take advantage of diversification and professional portfolio management at a reasonable cost. It is operated by money managers, who invest the fund capital on the investors behalf. Investing in mutual funds enables those investing a modest amount of money to benefit from the same advantages enjoyed by large institutional investors....

This image is being reflected over the y-axis.  When reflecting over the y-axis the y-coordinate will stay the same, but the x-coordinate will have the opposite sign. Here is the rule for this reflection:

(-x, y)

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

{1,-1}

Step-by-step explanation:

Let's do both!

Factoring!

x^2-1 is a difference of squares.

The formula for factoring a difference of squares is: u^2-v^2=(u-v)(u+v).

So the factored form of x^2-1 is (x-1)(x+1).

So we want to solve the equation x^2-1=0 which is equivalent to solving

(x-1)(x+1)=0.

If you have A*B=0 then either A=0 or B=0.

So in our case we have x-1=0 or x+1=0.

Now we just solve the equations.

x-1=0 can be solved by adding 1 on both sides giving us x=1.

x+1=0 can be solved by subtracting 1 on both sides giving us x=-1.

Square root!

When you want to use square roots, you have to have a perfect square containing the variables and a constant.  We have that here.

We have x^2-1=0 which is equivalent to x^2=1.  You could get this last equation by adding one on both sides of x^2-1=0.

Anyway, once you have the square part equals the constant, all you have to do is square root both sides to get rid of the square on the variable part.

[tex]x^2-1=0[/tex]

[tex]x^2=1[/tex]

[tex]\sqrt{x^2}=\sqrt{1}[/tex]

[tex]x=\pm \sqrt{1}[/tex]  It leads to two answers because [tex]\sqrt{x^2}=|x|[/tex].

[tex]x=\pm 1[/tex]

The solution to the equation x^2-1=0 is x = 1 or x = -1.

To solve the equation x^2-1=0 by factoring or finding square roots, we can start by rearranging the equation to get x^2=1. This means that the square of x is equal to 1. To find the square root of both sides, we take the square root of 1, which gives us x=±1. So the solution to the equation is x = 1 or x = -1.

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Answer:

4.21 and 4.22 (answers will vary)

Step-by-step explanation:

There are a lot of different numbers you can pick. It just has to be between 4.2 and 4.3. This means that 4.200000000000000000000000000001 can be an answer and 4.29999999999999999999999999 can be an answer.

The answer addresses the true or false nature of five statements about the properties of coordinate pairs in a two-dimensional graph with respect to their quadrants, and the location of specific points on the coordinate plane.

The coordinates (x, y) indicate the position of a point on a two-dimensional graph in relation to the origin, which is at (0, 0). In a standard coordinate system, Quadrant I has both x and y as positive, Quadrant II has x as negative and y as positive, Quadrant III has both x and y as negative, and Quadrant IV has x as positive and y as negative.

Answer:

Choice C:

slope = -18x

y-intercept = 850

Step-by-step explanation:

Drew uses 18 ounces of flour

-18x represents the amount of flour used

850 ounces of flour

or (0,850) is the y-intercept and represents the total number of flour

Answer

slope = -18x

y-intercept = 850

Answer:

C

Step-by-step explanation:

C

Answer:

(1, 3).

Step-by-step explanation:

The tree tiles coordinates are x = 5-3 = 2 and the y coordinate = 4 - 2 = 2

- that is (2, 2).

So the coordinates of the second sun are (2-1, 2 + 1)

= (1. 3).

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut point with the y axis.

By definition, if two straight lines are parallel then their slopes are equal. Thus, the slope of the line sought will be [tex]m = 2.[/tex]

[tex]y = 2x + b[/tex]

We substitute the given point to find b:

[tex]2 = 2 (-1) + b\\2 = -2 + b\\2 + 2 = b\\b = 4[/tex]

Finally the line is:

[tex]y = 2x + 4[/tex]

Answer:

[tex]y = 2x + 4[/tex]

Answer:

y = 2x + 4.

Step-by-step explanation:

The slope = the slope of y = 2x - 3 which is 2.

Using the point-slope form:

y - y1 = 2(x - x1)

Using the point (-1, 2):

y - 2 = 2(x - -1)

y =  2x + 2 + 2

y = 2x + 4  is the answer.

Answer:

7.5 ft

Step-by-step explanation:

Volume of a prism is V = L*W*H.

In this case, the volume is V = 300 ft^3 (not 300 ft).  Therefore,

300 ft^3 = L*W*H = (8 ft)(5 ft)(height)

Solving for the height, H, we get:

       300 ft^3

H = --------------- = 7.5 ft

         40 ft^2

Answer:

7.5 ft

Step-by-step explanation:

Vole is the length time the width times the height

V = l*w*h

Substituting what we know

300 = 5*8*h

300 = 40h

Divide each side by 40

300/40 =40h/40

7.5 =h

Answer:

a = 44 degrees

Step-by-step explanation:

angle 0 + angle a + angle b = 180 degrees

angle b = angle a

92 + a + b = 180 degrees

92 + 2a = 180 degrees

a = 44 degrees

!!

Answer:

Correct answer is figure D.

Step-by-step explanation:

According to the attached image Figure  D is correct option.

In a reflection transformation, all the points of an object are reflected or flipped. It is a type of transformation where the new image is the mirror image of the original and x-coordinates and y-coordinates changes the place.

Figure A is rotation and translation and Figure B and C are translation

Thus the correct option is Figure D....

Hey there! :)

Find the value of y when x=1 : 9x + 7y = -12

To find the value of y, simply plug in 1 for x in our given equation.

9(1) + 7y = -12

Simplify!

9 + 7y = -12

Subtract 9 from both sides so that we can isolate y.

7y = -12 - 9

Simplify.

7y = -21

Now, divide both sides by 7 to fully isolate y.

7y ÷ 7 = -21 ÷ 7

Simplify!

y = -3

~hope I helped!~

Answer:

The ratio of their volumes is 27/64

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

The scale factor is 3/4

step 2

Find the ratio of their volumes

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

[tex](\frac{3}{4})^{3}=\frac{27}{64}[/tex]