3 years ago

Use the information given to write an equation in standard form.

Mathematics

1 answer:

Marrrta [24]3 years ago

3 0

Answer:

6. y= 3x + 1

7. y= -2x + 4

8. y= -3x + 0

9. y= (0)x + 0

Step-by-step explanation:

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boyakko [2]

Answer:

$(x,y) =(-4,-3)$ --- Vertex

$x = -4$ --- Axis of symmetry

Step-by-step explanation:

Given

$y = -6(x + 4)^2 - 3$

Solving (a): The vertex

For an equation written in

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

The vertex is:

$(x,y) = (h,k)$

By comparison:

$y = a(x - h)^2 + k$ and $y = -6(x + 4)^2 - 3$

$-h =4$ $k = -3$

$h =-4$ $k = -3$

So, the vertex is:

$(x,y) =(-4,-3)$

Solving (b): The axis of symmetry

For an equation written in

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

The axis of symmetry is:

x = h

In (a):

$h =-4$

So:

$x = -4$

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2 years ago

Determine the next three terms in the following sequence

tia_tia [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

The length of a photograph is 1 cm less than twice the width. The area is 91cm^2. Find the width and length.

Brums [2.3K]

Let the width = x
=>length = 2x-1

91= x(2x-1)=2x^2-x
2x^2-x-91=0
=(2x+13)(x-7)
=> x=-13/2=> no
=>x= 7 cm

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2 years ago

A family has two cars. the first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of

jeka57 [31]

X : the gas used by first car in 1 particular week
y : the gas used by second car in 1 particular week
$x + y = 60 \\ x = 60 - y$
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3 years ago

The sum of the first natural number and 0 is 1, the sum of the first two natural numbers and 0 is 3, the sum of the first three

Kitty [74]

The sum of the first n natural numbers and 0=
n*(n+1)/2

8 0

2 years ago

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