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sveticcg [70]
3 years ago
11

The exponential function h whose graph is given below, can be written as h(x)=a*b^x Complete the equation for h(x)

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

  • h(x) = 3*2^x

Step-by-step explanation:

<u>Given</u>

  • Equation h(x)=a*b^x and its graph

<u>Two points given on the graph:</u>

  • h(0) = 3 and
  • h(1) = 6

<u>Substitute the coordinates and simplify:</u>

  • ab^0 = 3 ⇒ a = 3
  • ab^1 = 6 ⇒ ab = 6

<u>Divide the second equation by the first to find the value of b:</u>

  • b = 6/3 = 2

<u>The equation is:</u>

  • h(x) = 3*2^x
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aniked [119]

The coordinate of point F will be (1.6,4.2) for the given line segment.

<h3> What is a line segment?</h3>

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given the F intercept 2 and 3

x = [2(4) + 3(0)]/(2+3)

x = 8/5 = 1.6

Similarly

y = [2(0) + 3 (7)]/(2+3)

y = 21/5 = 4.2

Hence "The coordinate of point F will be (1.6,4.2) for the given line segment".

For more about line segment,

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2 years ago
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Ninety percent of a town’s population owns cars. If the number of cars owned is 4761, what is the population of the town?
Nuetrik [128]

We can write an equation of this, with p representing the unknown population. We know that 90% of the population owns cars:

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We also know that 4761 people own cars, which is the same as the above expression, so we write:

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From there, you just divide both sides by 90%, or 0.9

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In a translation, the y-coordinates of the pre-image increase by 8. What was the translation?
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1( m² + 15m + 56) = (____) (m+8)<br>2 a² +5ab + 6b²=(a +2b (_____)<br><br>pastor po ​
Nutka1998 [239]

Step-by-step explanation:

1.

{m}^{2}  + 15m + 56 = ( \:  \:  \:  \:  \: )(m + 8) \\ solution \\  \:  \: taking \: lhs \\   = {m}^{2}  + 15m + 5 \\   = {m}^{2}  + (7 + 8)m + 56 \\ \:  \:  \: \:    = {m}^{2}  + 8m + 7m + 56 \:  \:  \\ now \: taking \: common \: factor \\  m(m + 8) + 7(m + 8) \\ (m + 7)(m + 8) \\ now \\  {m}^{2}  + 15m + 56 = (m + 7)(m + 8)

2.

{a}^{2}  + 5ab +  6 {b}^{2} = ( a + 2b)( \:  \:  \:  \:  \:  \:  \:  \: ) \\ solution \\ taking \:  \: lhs \\  =  {a}^{2}  + 5ab + 6 {b}^{2} \\ =  {a}^{2}  + ( 3+ 2)ab + 6 {b}^{2} \\  =  {a}^{2}  + 3ab + 2ab + 6 {b}^{2}  \\now \: taking \: common \: factor \\ a(a + 3b) + 2b(a + 3) \\ (a + 2b)(a + 3) \\ now \\ {a}^{2}  + 5ab +  6 {b}^{2} = ( a + 2b)( a + 3) ans

this may help you(:

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33/48 *100%

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