Answer:
Step-by-step explanation:
6x2 + 5x - 4
6x2 + 8x - 3x - 4
2x(3x + 4) - 1(3x + 4)
(2x - 1) (3x + 4)
These are the factors
If the linear function has the domain (-2, -1, 0, 1, 2). Then the range of the function h(x) = 2x + 3 will be (-1, 1, 3, 5, 7).
<h3>What are domain and range?</h3>
The domain means all the possible values of x and the range means all the possible values of y.
The function is given as
h(x) = 2x + 3
The linear function has the domain (-2, -1, 0, 1, 2).
For x = -2
h(-2) = 2 (-2) + 3
h(-2) = -1
For x = -1
h(-1) = 2 (-1) + 3
h(-1) = 1
For x = 0
h(0) = 2 (0) + 3
h(0) = 3
For x = 1
h(1) = 2 (1) + 3
h(1) = 5
For x = 2
h(2) = 2 (2) + 3
h(2) = 7
More about the domain and range link is given below.
brainly.com/question/12208715
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Answer:
2.50x+1.25y=z
Step-by-step explanation:
Let the number of juice bottles = x
And the number of containers of popcorns=y
And the total number of juice bottles and containers of popcorns=z
Total number of juice bottles=x times $2.50
Total number of containers of popcorn= y times $ 1.25
equation; 2.50x+1.25y=z
The answer is 3072 cm².
Lateral surface area of a pyramid can be expressed as:
L = P × l
where:
L - <span>Lateral surface area
P - Perimeter of a base
l - slant height
We have:
L = ?
P = ?
l = 24 cm
a = 32 cm
</span><span>Perimeter of a base which is a square is:
</span>P = 4 × a
P = 4 × 32 cm
P = 128 cm
Thus,
<span>L = P × l
</span>L = 128 cm × 24 cm
L = 3072 cm²
Therefore, <span>the lateral surface area is </span>3072 cm².