Which of the following is the graph of the quadratic function? y=x^2+4-12

Answer:

k≥12

Step-by-step explanation:

If k must be equal to or greater than 12, it can be expressed as k≥12. This is because the sign ≥ shows that k can both be 12 and could be higher than 12.

I hoped that helped!

:)

Answer:

c

Step-by-step explanation:

it says above

Answer:

C. 90°

Step-by-step explanation:

In circle with center P, Segment QR is tangent to circle P at point Q and PQ is radius of the circle.

[tex] \therefore PQ \perp QR... (\because radius \perp tangent) \\

\therefore m\angle PQR = 90\degree [/tex]

Answer:

When two vectors are parallel, it's because the angles of inclination are equivalent. They are defined by

[tex]\theta = tan^{-1}(\frac{y}{x} )[/tex]

So, we just need to find the angle for each vector and see if they are equivalent.

We have vectors [tex](3,1)[/tex] and [tex](-13,-1)[/tex]. You already can deduce that these vectors are not parallel, because, their divisions are not equivalent.

[tex]\frac{1}{3} \neq \frac{-1}{-13}[/tex]

Which will give different angles in the end.

Let's try the other pair of vectors [tex](2,3)[/tex] and [tex](-3.-2)[/tex]. Their division would be

[tex]\frac{3}{2} \neq \frac{-2}{-3}\\ 1.5 \neq 0.67[/tex]

As you can observe, their divisions are not equivalent, which means their tangents are not equivalent.

Therefore, those vectors are not parallel, because they don't have equivalent angles of inclination, not matter if they are pointing to the same or different direction.

Answer:

y intercept: -2

x intercepts: -0.6667 and -0.5

Step-by-step explanation:

Check out this graph:                                                  Hope that this helped you!

Answer:

Step-by-step explanation:

1). f(x) = x² - 9

   g(x) = x - 3

   h(x) = f(x) ÷ g(x)

          = [tex]\frac{x^2-9}{x-3}[/tex]

          = [tex]\frac{(x+3)(x-3)}{(x-3)}[/tex]

          = (x + 3)

2). f(x) = x² - 4x + 3

         = x² - 3x - x + 3

          = x(x - 3) - 1(x - 3)

          = (x - 1)( x- 3)

    g(x) = x - 3

   h(x) = f(x) ÷ g(x)

          = [tex]\frac{(x-1)(x-3)}{(x-3)}[/tex]

          = (x - 1)

3). f(x) = x² + 4x - 5

          = x² + 5x - x - 5

          = x(x + 5) - 1(x + 5)

          = (x - 1)(x + 5)

    g(x) = x - 1

    h(x) = f(x) ÷ g(x)

           = [tex]\frac{(x-1)(x+5)}{(x-1)}[/tex]

           = (x + 5)

4). f(x) = x² - 16

          = (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]

   g(x) = (x - 4)

   h(x) = f(x) ÷ g(x)

          = [tex]\frac{(x-4)(x+4)}{(x-4)}[/tex]

          = (x + 4)

Answer:

Step-by-step explanation:

1). f(x) = x² - 9

  g(x) = x - 3

  h(x) = f(x) ÷ g(x)

         =

         =

         = (x + 3)

2). f(x) = x² - 4x + 3

        = x² - 3x - x + 3

         = x(x - 3) - 1(x - 3)

         = (x - 1)( x- 3)

   g(x) = x - 3

  h(x) = f(x) ÷ g(x)

         =

         = (x - 1)

3). f(x) = x² + 4x - 5

         = x² + 5x - x - 5

         = x(x + 5) - 1(x + 5)

         = (x - 1)(x + 5)

   g(x) = x - 1

   h(x) = f(x) ÷ g(x)

          =

          = (x + 5)

4). f(x) = x² - 16

         = (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]

  g(x) = (x - 4)

  h(x) = f(x) ÷ g(x)

         =

         = (x + 4)

Answer:

x = 7  x = -6

Step-by-step explanation:

x^2−x−42=0

Factor

What two numbers multiply to -42 and add to -1

-7*6 = -42

-7+6 = -1

(x-7) (x+6) =0

Using the zero product property

x-7 =0   x+6 =0

x = 7  x = -6

We can use the points (-4, 3) and (3, 1) to solve.

Slope formula: y2-y1/x2-x1

1-3/3-(-4)

-2/7

Therefore, the answer is C

Best of Luck!

Answer:

-2/7

Step-by-step explanation:

To find the slope we use the formula

( -4,3) and ( 3,1) are two points on the line

m = ( y2-y1)/(x2-x1)

    = ( 1-3)/( 3 - -4)

    ( 1-3) /(3+4)

     -2/7

Answer:

Step-by-step explanation: so you calculate how many people ate chicken, beef, fish or are vegetarian then you will add it all together

chicken=128

beef= 80

fish=32

vegetarian=112

128+80+32+112= 352 people ate at the restaurant

Answer:

Altogether, 88 people went to the restaurant.

Step-by-step explanation:

Answer:

Hello!

`~~~~~~~~~~~~~~~~~~~~~

Your answer would be (C)  10x2 + 18x+ 30

~~~~~~~~~~~~~~~~~~~~~~

Hope this helped you!

P . S I would've put the explaintion but it's to long.

Answer:

I Believe if so, this is your answer

Step-by-step explanation:

y = e ( x )

OR

y = √ x − 10

Answer:

Option (3)

Step-by-step explanation:

Inequality n < -2 will be represented on a number line as,

A ray starting form -2 with a hollow circle directing towards -5.

Similarly, other inequality n ≥ 4 will be represented by a ray heading towards positive integers with a staring point 4 marked with a dark circle.

By combining these inequalities on a number line we get Option (3) as a correct option.

Answer:

110

Step-by-step explanation:

There are 200 people in a cinema- This is our total amount.

25 % of the people are men.

.25 times 200= 50

There are 50 men.

1/5 (20%) of the people are women.

.2 times 200 = 40

There are 40 women.

50+40 = 90

There are 90 adults in the cinema.

If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.

The percentage is 55%.

The simplified fraction is 11/20.

The decimal is .55  

Answer:

0.075

Step-by-step explanation:

To represent 7 1/2 as a decimal, it would be 0.075 since there are 7 hundredths and half a hundredth.

Answer:

d

Step-by-step explanation:

The correct answer is d because Nora is proving that PS : PR = PT : PQ and we know that PT = 48 and PQ = 48 + 36 so substituting those values into the right side of the equation gives us 48 : (48 + 36).

Answer:

D

Step-by-step explanation:

Answer:

7i

Step-by-step explanation:

√-49= √-1*7²= 7√-1= 7i

Answer:

7i

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

9m

Step-by-step explanation:

Let x be the length of the rectangle and P the perimeter

P= 4*2+ 2x

26= 8+2x

18= 2x

x= 9 m

Answer:

B. -9, 7

Step-by-step explanation:

For the rational expression to be undefined the denominator has to equal 0.

x² + 2x - 63 = 0

Factor left side.

(x - 7)(x + 9) = 0

Set factors equal to 0.

x - 7 = 0

x = 7

x + 9 = 0

x = -9

x = -9 or x = 7

Answer:

B

Step-by-step explanation:

A rational expression is undefined when the denominator of the expression equals 0 (this is because anything over 0 is undefined). In other words, to find the values for which the given expression is undefined, we simply have to find the zeros of the denominator. We can ignore the numerator. Thus, let:

[tex]0=x^2+2x-63[/tex]

This is now a quadratic. Solve for the quadratic. I will factor but you can do whatever you like (complete the square, quadratic formula, etc.).

We notice that two factors that multiply to -63 and also add to +2 is 9 and -7. Thus:

[tex]0=(x+9)(x-7)[/tex]

[tex]x+9=0 ; x=-9[/tex]

[tex]x-7=0; x=7[/tex]

The zeros are -9 and 7.

The denominator will equal 0 at these values, and the expression will be undefined.

Answer:

3rd box, last box, 2nd box, 5th box in that order

Step-by-step explanation:

PEMDAS

Answer:

3, 7, 2, 5

Step-by-step explanation:

You will get the answer by solving it with PEMDAS :)

Answer:

$3100 is invested at 9%

$4900 is invested at 11%

Step-by-step explanation:

Let's take "x" be the amount invested at 9%.

(x + 1800) is invested in another account at 11%.

The interest amount earned by the two accounts is $818.

Here we can use the simple interest formula and find the amount invested in each account.

Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.

Simple interest =

0.09x + 0.11(x+1800) = 818

Now we have to simplify and find the value of x .

Use the distributive property and simplify the second term.

0.09x + 0.11x + 198 = 818

0.2x + 198 = 818  

0.2x =818 - 198

0.2x = 620

x = 620/0.2

x = 3100.

So $3100 is invested at 9%

x + 1800 = 3100 + 1800

= $4900

$4900 is invested at 11%

Hope this helped.

Answer:I would say it’s 52in

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

2x/2 = 8/2

x =4

Answer:

y = x-4

Step-by-step explanation:

The first thing we need here is to find the slope m of the line passing through the two points.

Mathematically;

m = y2-y1/(x2-x1)

Where (x1,y1) = (0,-4) and (x2,y2) = (5,1)

Thus; m = (1-(-4))/(5-0) = 5/5 =0

The standard form of the equation is;

y = mx + c

where m is the slope and c is the intercept. We already calculated m to be 1, so the equation of the line would be;

y = x + c

To get c, what we need to do is to use any of the points and substitute the values of x and y to get c

Let’s use (5,1)

1 = 5 + c

c = 1-5

c = -4

So the line would be

y = x -4

Answer:  x = 3/2

Step-by-step explanation:

log (2) + log (x) = log (3)       Given

log(2x) = log(3)                     Condensing log rules

    2x = 3                              Cancellation log rule

      [tex]x=\dfrac{3}{2}[/tex]                             Division Property

Answer:

Child's dosage=60 milligram

Step-by-step explanation:

The correct formula is below

C= a/(a+12) ∙ A

Where,

C = child’s dosage in milligrams

a = age of the child

A = adult dosage in milligrams

a=6 year old

A=180 milligrams

C= a/(a+12) ∙ A

=6/(6+12)*180

=6/18*180

=1/3*180

=60

Child's dosage in milligram=60 milligram

Answer:

C: 38 units

hope this helps!!

Answer:

hello the data is missing but it is included in the explanation below

missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

Answer :

A) range = 9 , variance = 8.3015,  standard deviation = 2.8812

B)  The results cannot be a representative of the variation of attractiveness among the population of adult males

Step-by-step explanation:

A ) calculate the Range, variance and standard deviation

The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

i) Range = difference between largest and smallest values

              = 10 -1 = 9

ii) variance = summation of ; (xi − x)^2/n-1

                   = 207.5385/26−1   ≈ 8.3015

iii) standard deviation = [tex]\sqrt{variance}[/tex]

                                    = [tex]\sqrt{8.3015}[/tex] = 2.8812

B) The results cannot be a representative of the variation of attractiveness among the population of adult males

Answer:

The volume of the composite figure is 162.7 in^3

Step-by-step explanation:

Here, we have a cylinder placed over a cube

The volume of the cube is L^3

With L being the length of its side = 5

The volume of the cube is 5^3 = 125 in^3

The volume of the cylinder is pi * r^2 * h

with r = 2 in and h = 3 in

The volume of the cylinder = 22/7 * 2^2 * 3 = 37.699 = 37.7 in*3

Total volume is thus;

37.7 + 125 = 162.7 in^3

Answer:

  8/15 acres per hour

Step-by-step explanation:

To find acres per hour, divide acres by hours:

  (2/5 ac)/(3/4 h) = (2/5)(4/3) ac/h = 8/15 ac/h

Derek can cover 8/15 acres per hour.