Answer:
B. ( –3, –4)
C. ( 4, 17 )
Step-by-step explanation:
Function: y = 3x + 5
Using method of elimination
A. (2, –1)
x = 2, y = -1
-1 = 3 (2) + 5
-1 ≠ 11
This option is incorrect!
B. ( –3, –4)
x = -3, y = -4
-4 = 3 (-3) + 5
-4 = - 9 + 5
-4 = -4
This option is correct!
C. ( 4, 17 )
x = 4, y = 17
17 = 3 (4) + 5
17 = 12 + 5
17 = 17
This option is correct!
D. ( 3, 8 )
x = 3, y = 8
8 = 3 (3) + 5
8 = 9 + 5
8 = 14
This option is incorrect!
Answer:
The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%
Step-by-step explanation:
We can start with the basic equation for the area of a rectangle:
l × w = a
And now express the changes described above as an equation, using "p" as the amount that the width is changed:
(l × 1.1) × (w × p) = a × .98
Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:
w = a/l
now the second one:
1.1l × wp = 0.98a
wp = 0.98a / 1.1l
1.1 wp / 0.98 = a/l
Now with both of those equalling a/l, we can equate them:
1.1 wp / 0.98 = w
We can then divide both sides by w, eliminating it
1.1wp / 0.98w = w/w
1.1p / 0.98 = 1
And solve for p
1.1p = 0.98
p = 0.98 / 1.1
p ≈ 0.89
So the width is scaled by approximately 89%
We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:
.89 × 1.1 = 0.979
That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.
<u>Corrected Question</u>
The blueprint for the Moreno Moreno's living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new blueprint? A rectangle is labeled width = 12 inches.
Answer:
7 Inch
Step-by-step explanation:
The width of the room on the old blueprint = 12 Inches
<u>Scale on the old blueprint: </u>
2 inches = 7 feet.
Therefore: 1 Inch =7/2 feet
12 Inches =12 X 7/2 feet =42 feet
The actual width of the room is 42 feet.
<u>Scale on the new blueprint</u>
1 inch equals = 6 feet; which we can reorder as:
6 feet=1 inch
1 feet =1/6 Inch
Therefore:
42 feet = 42 x 1/6 Inch =7 Inch
Thus, the width of the living room on the new blueprint is 7 Inch.
2x4 + 2x2 = 32 because 2x4 equals 8 and then if you do 2x2 it equals 4.
multiply the two answers and get the answer to 8x4 which is 32.
Answer:
one-sixth
multiply the numerator (2) by the number of kids (3) because you are accounting for the fraction of the whole pizza. By doing this you should get 3/6. divide the denominator by the number of kids (3/3) getting you to a value of 1, and replace the denominator, making the amount of pizza one-sixth.
