Hayley runs a day care center. So far this year, the enrollment has consisted of 3

What is the slope of the line that passes through the points (8, -4)(8,−4) and (6, 2) ?(6,2)?

Art [367]

The slope is 2-2/6-6 which is zero . So the slope is no slope

6 0

2 years ago

Which is the solution to the equation 8.25 + 1/4w = 10.75? Round to the nearest hundredth if necessary.

e-lub [12.9K]

Answer:

w = 0.215

Step-by-step explanation:

(8.25 + 1) / 4w = 10.75

9.25/4w = 10.75

9.25/4w(4w) = 10.75(4w)

9.25 = 43w

9.25/43 = w

w = 0.215

6 0

2 years ago

Write an exponential function for graph that passes through the following points (-3,80);(-1,20)

padilas [110]

Answer:

y

=

4

(

1

2

)

x

Explanation:

An exponential function is in the general form

y

=

a

(

b

)

x

We know the points

(

−

1

,

8

)

and

(

1

,

2

)

, so the following are true:

8

=

a

(

b

−

1

)

=

a

b

2

=

a

(

b

1

)

=

a

b

Multiply both sides of the first equation by

b

to find that

8

b

=

a

Plug this into the second equation and solve for

b

:

2

=

(

8

b

)

b

2

=

8

b

2

b

2

=

1

4

b

=

±

1

2

Two equations seem to be possible here. Plug both values of

b

into the either equation to find

a

. I'll use the second equation for simpler algebra.

If

b

=

1

2

:

2

=

a

(

1

2

)

a

=

4

Giving us the equation:

y

=

4

(

1

2

)

x

If

b

=

−

1

2

:

2

=

a

(

−

1

2

)

a

=

−

4

Giving us the equation:

y

=

−

4

(

−

1

2

)

x

However! In an exponential function,

b

>

0

, otherwise many issues arise when trying to graph the function.

The only valid function is

y

=

4

(

1

2

)

x

7 0

3 years ago

X x 2 divided by 4 equals

fiasKO [112]

Answer:

I think it's 2x/4 (1x/2 if simplified). if it's multiple choice that's what I'd go with and if that answer is wrong then sorry

Step-by-step explanation:

x•2 is 2x because you don't know the value x and you still have to divide by four. when simplified, 2/4 is 1/2 so it'd be 1x/2

8 0

3 years ago

Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)

Mnenie [13.5K]

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
the center is (h,k) and the radius is r

and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
$(x+2)^2+(y-3)^2=18$
$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
$(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2$

the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

$r=3\sqrt{2}$ ≈4.2
$D=\sqrt{101}$ ≈10.04

do r<D

(8,4) is outside the circle

6 0

3 years ago