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vichka [17]
2 years ago
13

Write the factored form of an equation that has the zeros 4 and -7.

Mathematics
1 answer:
sineoko [7]2 years ago
6 0

The factored form of the equation that has the zeros 4 and -7 is y = ( x - 4)( x + 7 ).

<h3>What is the factored form of an equation that has the zeros or roots 4 and -7?</h3>

Roots are simply the points where the graph intercepts with the x-axis. ( y = 0 )
That is, y = 0 the roots

Given the roots of the equation;

  • 4
  • -7

Now, at x = 4,

x = 4

x - 4 = 0

y = ( x - 4)

Also, at x = -7,

x = -7

x - ( - 7 ) = 0

x + 7 = 0

y = ( x + 7 )

Hence; for the equation with the given roots; 4 and -7 will be;

y = ( x - 4)( x + 7 ).

The factored form of the equation that has the zeros 4 and -7 is y = ( x - 4)( x + 7 ).

Learn more about roots of quadratic equation here: brainly.com/question/26926523

#SPJ1

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17. Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively
Gnesinka [82]

Given that, Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively.Find the height of the smallest tank if the larger is 300cm tall?

Assume that, the tanks are rectangular in shapes and differ only on their heights. The volume of the larger tank is

V1 = l × w × h1 while the volume of the smaller tank is V2 = l ×w × h2. The ratios of the capacities is

\sf \frac{V1}{V2} = l  \times  w  \times h1  \times  w  \times  h2 =  \frac{h1}{h2}

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\sf \frac{V1}{V2} =  \frac{h1}{h2}

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h2 = (51200 × 300 cm) /1000000

h2 = 15.36 cm

\sf\implies \: \boxed{ \bf{ \: Height \:  of  \: the \:  smaller  \: tank  \: is  \: 15.36 cm.\: }}

{ \underline {\rule{5000pt}{6pt}}}

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2 years ago
Read 2 more answers
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