Answer:
C
Step-by-step explanation:
You can eliminate answer A because when X=1, Y must equal 33.75 not 33.
You can eliminate answer B because when X=0, Y must equal 0 not 1.
You can eliminate answer D because this answer has the X and Y coordinates reversed. When X=1, Y= 33.75. When X=4, Y=135, etc.
Answer: 32 sandwiches
explanation: well, if one sandwich uses one eighth of a pound of cheese, that means that eight eighths of a pound (i.e one whole pound) would make eight sandwiches. Since we know that there are four pounds of cheese altogether, we can use this ratio (8 sandwiches per every 1 pound of cheese) to calculate that he made 32 sandwiches (8 times 4).
The estimated answer is 11. First you round 16.8 to 17 because the decimal is above 5. Then you round 5.94 to 6 because the first decimal place is greater than 5. Lastly you subtract 17 minus 5 to get 11.
Answer:
Dimensions are 12 , 5
Step-by-step explanation:
Area of rectangular mural = length * width
length * width = 60 square feet
(x + 10)(x + 3) = 60
Use FOIL method
x*x + x*3 + 10*x + 10*3 = 60
x² + <u>3x + 10x</u> + 30 = 60 {Combine like terms}
x² +<u> 13x</u> + 30 - 60 = 0
x² + 13x - 30 = 0
Sum = 13
Product = -30
Factors = 15 , -2 (15+ (-2) = 13 ; 15*(-2) = -30)
x² + 15x - 2x - 30 =0 {Rewrite middle terms}
x(x + 15) - 2(x + 15) = 0
(x + 15)(x - 2) =0
x - 2 = 0 {Ignore (x +15) as dimensions wont have a negative value}
x = 2
x + 10 = 2 + 10 = 12
x + 3 = 2 + 3 = 5
Dimensions are 12 , 5
10) (9,-3); m=2
(a) y=2x-11
Plug in the variables that are constant on both the given line and the new one.
y=mx+b
-3=2(9)+b
Do not input b, as the y intercept is relative to the specific line, and not others.
-3=18+b
-3-18=b
-21=b
The y intercept of the new line is -21.
FINAL ANSWER::y=2x-21
(b) y=2x-21
Plug in the variables that are constant on both the given line and the new one.
y=mx+b
-3=2(9)+b
Do not input b, as the y intercept is relative to the specific line, and not others.
-3=18+b
-3-18=b
-21=b
The y intercept of the new line is -21
FINAL ANSWER::y=2x-21
Or equivalent to the original.
Hope this helps you solve the rest. ;)
