Answer:
The equation is:
f(x) = Ix + 3I - 2
Step-by-step explanation:
For a function like:
f(x) = Ix - kI + c
k is the x-value where the vertex is, and c is the y-value where the vertex is.
In the graph we can see that the vertex is in the point (-3, -2)
then:
x-value = -3 = k
y-value = -2 = c
Replacing those in the equation for the function:
f(x) = Ix - (-3)I - 2
f(x) = Ix + 3I - 2
Answer:
AX = 20
AY = 15
Step-by-step explanation:
The perimeter is ...
P = AC +CB +BA = (AX +XC) +CB +(BY +YA)
128 = AX +32 + 37 +24 +AY
35 = AX +AY
The ratios of corresponding sides are proportional:
AX/AY = XC/YB = 32/24 = 4/3
This tells us ...
AX = 4/3·AY
Substituting, we get ...
35 = (4/3)AY +AY = (7/3)AY
(3/7)·35 = 15 = AY
AX = 35 -AY = 20
The side measures are AX = 20, AY = 15.
Fifthteen and eighty three thousandths
Answer: x = 5
Step-by-step explanation:
If you need to solve for x,
Given:
-1 (1 + 7x) - 6(-7 -x) = 36
Distribute:
-1 - 7x + 42 + 6x = 36
Combine like terms:
- x + 41 = 36
Subtract 41 from both sides of the equation:
- x = -5
Divide both sides by -1:
x = 5
The right answer is:
C. The grouping of the factors is changed, but the product is the same.
Step-by-step explanation:
Given statement is:
(3 × 4) × 6 = 3 × (4 × 6)
The properties that are applied on statements are commutative, associative and distributive.
Out of these, associative property states that the grouping of three factors can change but the end product will remain the same
i.e.
(a*b)*c = a * (b*c)
So for the given statement,
The right answer is:
C. The grouping of the factors is changed, but the product is the same.
Keywords: Properties, associative property
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