13. Which equation represents y = x2 - 10x + 30 in vertex form?
y = (x - 5)2 + 5
y = (x – 5)2 + 55
y = (x – 5)2 - 5
y = (x - 5)2 + 30

Answer:

It could be to: collect data from a sample of every twentieth student who arrives at school one day

Answer:

The mark up percentage of the book is 603.35 percent with respect to its initial price.

Step-by-step explanation:

Given that a book costs $ 1.49 and is sold in a retail store for $ 8.99, in order to determine what is the percentage in mark up, the following mathematical operations must be performed:

(8.99 / 1.49) x 100 = X

6.0335 x 100 = X

603.35 = X

Thus, the mark up percentage of the book is 603.35 percent with respect to its initial price.

Answer:

f(1)=3

Step-by-step explanation:

f(1)= -4(1)+7=3

Answer:

Answer:

2(5x+6)-9

Step-by-step explanation:

That's the answer to the problem

Answer:

Solution;

given equation : 3.67 = c - 2.13

On solving equation, we get

c = 3.67 +2.13

c = 5.8

Hence, Janae solution is incorrect. So I disagree.

The answer is .25 kilometers a minute.

This is because [tex]speed = \frac{distance}{time}[/tex] so you need substitute then divide to find the answer

You can check this answer by doing 15÷60 which comes out to .25 km a minute.

Answer:0.25m per minute

Step-by-step explanation:

You divided the 15 by the 60 since 15 is the km and 60 minutes and you want to know how far can she run in minutes

Hope this helped :)

Tell me if it’s wrong :]

Answer:

D) -5x(x² + 2x + 3)

Step-by-step explanation:

-5x³ - 10x² - 15x

Common factor:

-5x

Factored:

-5x(x² + 2x + 3)

Answer:

I divide 48/6=8 that is the only one that make sense for me becuase 6x8=48

Step-by-step explanation:

9514 1404 393

Answer:

  a) max height: 210.25 feet

  b) time: 7 seconds

Step-by-step explanation:

Since this is about graphing quadratics, it seems appropriate to use a graph produced by a graphing calculator. It shows ...

  maximum height: 210.25 feet

  time to hit the ground: 7 seconds

Answer:

57 pounds weight is 95 percent of the limit i think

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

50% of 60 is 30

5% of 60 is 3

Answer:

D.

Step-by-step explanation:

When you replace the x and y in "2x-y" with (4,-2) its going to be 2(4)-(-2) and thats going to make it greater than 3.

9514 1404 393

Answer:

  A.  x = {nπ, π/4 +nπ}

Step-by-step explanation:

The zero product rule tells you the solutions are found where the factors are zero:

  tan(x) = 0   ⇒   x = nπ

  tan(x) -1 = 0   ⇒   x = arctan(1) +nπ = π/4 +nπ

_____

When working with functions of trig functions, it is helpful to have an idea of the general shape of their graphs and a few "special" values.

Answer:

Should be 70 since <B is also 70

Step-by-step explanation:

Going by the diagram, you just read the value of x. The value of y requires a little bit of calculation.  x=70 degree

Step-by-step explanation: Step One

Find x

You just read the value.

x is the same as the 70 degree angle. That comes about from parallel lines.

x = 70 degrees. <<<< answer

Step Two

Find y  

All triangles have 180 degrees.

So ABC has 180 degrees.

70 + 50 + <ACB = 180         Combine like terms

120 + <ACB = 180               Subtract 120 from both sides

<ACB = 180 - 120

<ACB = 60

y = <ACB

y = 60 degrees.    <<<< Answer.

hoped this helped :)

Answer:

11

Step-by-step explanation:

Half base times height

Answer:

40 pieces

Step-by-step explanation:

To make it easier, I'm gonna divide 15 by 3 and then multiply it by 2. Same with 6.

10% of candy = 4 pieces.

Multiply by 10

100% of candy = 40 pieces.

Answer:

139

Step-by-step explanation:

Inside angles of a triangle = 180 degrees

61 + 78 = 139

180 - 139 = 41

unknown interior angle = 41 degrees

So m<1 = 139

(Or just add the two interior angles together)

Answer:

pretty sure its 9

[tex] \sqrt{9 = + 3} [/tex]

Answer:

10

Step-by-step explanation:

Answer:

imagine

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

If the cup is only 15 cm and the pencil is 2 cm over the right amount, it would be 15

Answer: 1/2x

Step-by-step explanation:

9514 1404 393

Answer:

  A: 8 ft²

  B: draw diagonal AC; 4 ft²

Step-by-step explanation:

Part A: The area is given by the formula ...

  A = bh . . . . . . . the product of base and height dimensions

  A = (9 ft)(8/9 ft) = 8 ft² . . . . area of the parallelogram

__

Part B:

Either diagonal (AC or BD) will divide the parallelogram into two congruent triangles, each with the same base and height as the parallelogram. It is no surprise, then, that the area of either of those triangles is ...

  A = 1/2bh

  A = 1/2(9 ft)(8/9 ft) = 4 ft² . . . . . . area of triangular half of parallelogram

__

AC divides the figure into congruent acute triangles; BD divides it into congruent obtuse triangles.

9514 1404 393

Answer:

Step-by-step explanation:

The expression reduces to ...

  [tex]\dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)[/tex]

The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.

The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.

As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*

  (x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1

There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.

_____

* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)

Answer:28

Step-by-step explanation:

Answer:

29/7 or in decimal form: 4.1428...

9514 1404 393

Answer:

  (b)  4x- 3y = 6

Step-by-step explanation:

Standard form is ...

  ax +by = c

where a, b, c are mutually prime integers and a > 0. (If a=0, then b>0.)

__

A: slope-intercept form with variables on both sides of the equal sign.

B: standard form

C: coefficients aren't integers

D: coefficients aren't integers; leading coefficient is negative.

Answer:

4x- 3y = 6

Step-by-step explanation: