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storchak [24]
3 years ago
9

Write the equation that describes the line with slope=2 and y-intercept=3/2 in slope intercept form

Mathematics
1 answer:
frez [133]3 years ago
6 0

Answer:

y = 2x +3/2

Step-by-step explanation:

y = mx + b

m is the slope so

y = 2x + b

b is intercept so

y = 2x +3/2

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What is 6 divided by 1/4
xxTIMURxx [149]

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24

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Read 2 more answers
Use the function F(3)<br> F(x) =(1/5)^x<br> A.)1/15<br> B.)1/125<br> C.)3/5<br> D.)3/125
nalin [4]
Here is your answer

B) 1/125

REASON:

Given,

F (x)={(1/5)}^{x}

for F (3)

Putting x=3, in above function we get

F (3)= {(1/5)}^{3}= 1/125


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6 0
3 years ago
What is the volume of the cone below?
katrin [286]
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3 years ago
Could someone please answer question b) ii) ?<br> The question is on the attached image.
mel-nik [20]

Answer:

b) i) Curve A

ii) - 1.75

iii) x = 1 - √5  or x = 1 + √5

Step-by-step explanation:

b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.

The equation can be rearranged to y = (x - 1)² - 4

⇒ (x - 1)² = y + 4

Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.

So, the curve A represents the equation given. (Answer)

ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)

iii) When y = 1, then x² -2x - 3 = 1

⇒ x² - 2x - 4 = 0

⇒ (x - 1)² - 5 = 0

⇒ (x - 1)² - (√5)² = 0

⇒ (x - 1 + √5)(x - 1 - √5) = 0

⇒ x = 1 - √5  or x = 1 + √5 (Answer)

3 0
4 years ago
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