<h3>
Answer:</h3>
For each birdhouse built, the total cost increases by $3.50.
<h3>
Step-by-step explanation:</h3>
Let's try some of the answers and see if they work.
The "initial cost" will be the cost when 0 birdhouses are built.
... f(0) = 3.5·0 +24 = 24 . . . . . clearly, not $3.50
Then increasing the number of birdhouses by 1, the cost is ...
... f(1) = 3.5·1 +24 = 27.5 . . . . . the cost has gone up (not down) by $3.50
Clearly the total cost to build 1 birdhouse is not $3.50. (It is $27.50.)
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Our exploration of the formula leads us to conclude ...
... For each birdhouse built, the total cost increases by $3.50.
9514 1404 393
Answer:
a) The new triangle is a reflection of the original across the origin. All angles, segment lengths, and line slopes have been preserved: the transformed triangle is congruent with the original.
b) The new triangle is a reflection of the original across the origin and a dilation by a factor of 2. Angles have been preserved: the transformed triangle is similar to the original. The transformation is NOT rigid.
Step-by-step explanation:
1. The transformed triangle is blue in the attachment. It is congruent with the original. The transformation is "rigid," a reflection across the origin. All angles and lengths have been preserved, as well as line slopes.
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2. The transformed triangle is orange in the attachment. It is similar to the original, in that angles have been preserved and lengths are proportional. It is a reflection across the origin and a dilation by a factor of 2. Line slopes have also been preserved. A dilation is NOT a "rigid" transformation.
F(x) = 6x² + 5 - 42x
first step in writing the f(x) in vertex form? WRITE THE FUNCTION IN STANDARD FORM.
f(x) = 6x² - 42x + 5
Exponents must be in decreasing order.
The value of b is -3.
<h3>What is axis of symmetry?</h3>
Axis of symmetry is a line that divides an object into two halves,thereby creation a mirror like reflection of either side of the object.
Now the given function is,
f(x) = 1/4 x^2 bx + 10
and axis of symmetry is at x = 6
Now the quadratic function in standard form is given as,
f(x) = a x^2 bx + c
By comprison we get,
a = 1/4
c = 10
Since axis of symmetry is a vertical line
x = -b/2a
Therefore,
6 = -b/2*(1/4)
-b = 6*2*(1/4)
or, b = -12/4
or, b = -3
Hence,The value of b is -3.
More about axis of symmetry :
brainly.com/question/3514150
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