Answer:
{- 2, - 4, - 6, - 8, - 10 }
Step-by-step explanation:
Given
f(x) = 2x - 6 with domain { - 2, - 1, 0, 1, 2 }
To obtain the range substitute the values of x from the domain into f(x)
f(- 2) = 2(- 2) - 6 = - 4 - 6 = - 10
f(- 1) = 2(- 1) - 6 = - 2 - 6 = - 8
f(0) = 2(0) - 6 = 0 - 6 = - 6
f(1) = 2(1) - 6 = 2 - 6 = - 4
f(2) = 2(2) - 6 = 4 - 6 = - 2
Range is { - 2, - 4, - 6, - 8, - 10 }
Answer:
Height h = 9 cm
Step-by-step explanation:
Given:
Surface area of cuboid = 102 cm²
Length l = 2 cm
Breadth b = 3 cm
Find:
Height h
Computation:
Surface area of cuboid = 2[lb + bh + hl]
102 = 2[(2)(3) + (3)(h) + (h)(2)]
51 = 6 + 3h + 2h
45 = 5h
Height h = 9 cm
Answer:
grater than -6 bars
Step-by-step explanation:
The average speed is 4 miles per minute
WORK:
8mi=2minutes
÷2 ÷2
------------
4 1
4mi=1 minute
X= increased amount
L= length
W= width
The area formula is Area= L * W. Since length and width are increased, we need to increase each before adding them to the formula.
L= 12 + x
W= 14 + x
L * W= Area
(12 + x) (14 + x)= 288
multiply each parentheses
(12*14) + (12*x) + (x*14) + (x*x) = 288
168 + 12x + 14x + x^2= 288
x^2 + 26x + 168= 288
subtract 288 from both sides
x^2 + 26x - 120= 0
factor with two numbers that add to 26 and multiply to -120
(x - 4) (x + 30)= 0
set each number equal to zero
x - 4= 0
x= 4
x + 30= 0
x= -30
ANSWER: Length and width are both increased by 4 feet. -30 cannot be a solution because it is negative and we know the answer has to be a positive number.
Hope this helps! :)
