An un known or changeable quantity is known as (an)???

Select all expressions that are equivalent to 10q + 5 ?

OLga [1]

Answer:

5q + 5q + 5

2q + 5 + 8q

5(2q + 1)

Step-by-step explanation:

5 0

3 years ago

What is the equation of the axis of symmetry for the parabola y=1/2(x-3)^2+5

Rus_ich [418]

The general vertex form equation of the parabola is

$y=a(x-h)^2+k$

The Axis of Symmetry is given by

x=h

For the given equation the Equation of the Axis of symmetry for the parabola y=1/2(x-3)^2+5 as x=3.

5 0

3 years ago

1. A football team gains 2 yards on the first play,

Ilya [14]

Option C

The football team had a overall loss of 2 yards

Solution:

When the team gains yards we use a positive value, and when the team loses yards we use a negative value.

Given that, football team gains 2 yards on the first play

First play = +2

Given that football team loses 5 yards on the second play

Second play = -5

Given that football team loses 3 yards on the third play

Third play = -3

Given that football team gains 4 yards on the fourth play

Fourth play = +4

Put the yards from four plays together, we get

⇒ 2 -5 -3 + 4

Let us simplify

⇒ -3 -3 + 4 = -6 + 4 = -2

So, -2 represents loss of two yards (since negative value indicates loss)

3 0

3 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

Katie wants to buy 27 candles. If there are 9 candles in each box, how many boxes of candles should Katie buy? * (need the answe

cricket20 [7]

Answer:

3 boxes

Step-by-step explanation:

because 3 times 9 is 27.

3 0

3 years ago

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