Answer:
15 - 9
Step-by-step explanation:
3[( 3x - 7x plus 1) - (x plus 4)]
3[(-4x plus 1) - x-4
3[-4x plus 1 -x-4
3[-4x-x plus 1-4]
3[fivex -3]
fifteen x - 9
Answer:
x-intercepts are (0, 0) and (-6, 0)
Step-by-step explanation:
equation of a parabola in vertex form: y = a(x - h)² + k
where (h, k) is the vertex
Substituting the given vertex (-3, -18) into the equation:
y = a(x + 3)² - 18
If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:
0 = a(0 + 3)² - 18
⇒ 0 = a(3)² - 18
⇒ 0 = 9a - 18
⇒ 9a = 18
⇒ a = 2
Therefore, y = 2(x + 3)² - 18
To find the x-intercepts, set the equation to 0 and solve for x:
2(x + 3)² - 18 = 0
Add 18 to both sides: 2(x + 3)² = 18
Divide both sides by 2: (x + 3)² = 9
Square root both sides: x + 3 = ±3
Subtract 3 from both sides: x = ±3 - 3
so x = 3 - 3 = 0
and x = -3 - 3 = -6
So x-intercepts are (0, 0) and (-6, 0)
Answer:
The enlarged height of the photo must be 682 inches
Step-by-step explanation:
A customer wants to enlarge the image by 22 times
Hence, the scale factor = +22
Now, the current height of the photo = 31 inches
Therefore, to find the enlarged height : we need to multiply the scale factor of the required image by the current height of the photo.
Hence, Enlarged Height = 22 × 31
= 682 inches
So, The enlarged height of the photo must be 682 inches
Answer:
The answer is
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Step-by-step explanation:
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To solve the equation we must first find h-¹(x)
To find h-¹(x) equate h(x) to y
That's
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<u>Next interchange the terms </u>
x becomes y and y becomes x
That's
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<u>Make y the subject</u>
Take logarithm to base 2 to both sides
That's
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But
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So we have
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Now we can solve the equation
We have
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Convert the logarithm into exponential form using the fact that
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So we have
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But
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So we have the final answer as
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Hope this helps you
