The scale used for a model of a kitchen is 1/4 in. = 1.5 ft. In the model, the kitchen measures 2.5 in. by 3 in. What are the actual dimensions of
the kitchen?

15ft by 18ft

Step-by-step explanation:

Start with 2.5 divided by .25

That equals 10

10 times 1.5 ,because we know it takes ten .25inches to equal 2.5 and 2.5, is the size of one of the sides.

10 time 1.5 is 15ft

3 divided by .25 is 12

using the same logic and math as stated above we know 3 x .25 equals 12 by 12 quarter inches to make 3 inches

12 x 1.5 Same logic as before

12 x 1.5 equals 18ft

The kitchen is 15ft by 18ft

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: