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3 years ago

14

Solve for x

itle="1 + \sqrt{5 - x} + x = 0" alt="1 + \sqrt{5 - x} + x = 0" align="absmiddle" class="latex-formula">

1 answer:

zheka24 [161]3 years ago

8 0

I hope this helps. You can use quadrant first before the other method(first one) because the first one looks for the discriminant.

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The total length of pencils A, B and C is 29 cm. Pencil a is 11 cm shorter then pencil B, and pencil B is twice as long a pencil

satela [25.4K]

The length of pencil A is 5 cm

<em><u>Solution:</u></em>

Let the length of pencil A be "x"

Let the length of pencil B be "y"

Let the length of pencil C be "z"

<em><u>The total length of pencils A, B and C is 29 cm</u></em>

Therefore,

length of pencil A + length of pencil B + length of pencil C = 29

x + y + z = 29 ------------ eqn 1

<em><u>Pencil A is 11 cm shorter then pencil B</u></em>

x = y - 11 ------- eqn 2

<em><u>Pencil B is twice as long a pencil C</u></em>

y = 2z

$z = \frac{y}{2}$ ------ eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

$y - 11 + y + \frac{y}{2} = 29\\\\2y + \frac{y}{2} = 29 + 11\\\\\frac{4y+y}{2} = 40\\\\5y = 80\\\\y = 16$

<em><u>Substitute y = 16 in eqn 2</u></em>

x = 16 - 11

x = 5

Thus length of pencil A is 5 cm

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Answer:

$\boxed{\textsf{ The correct option is \textbf{ option C } . }}$

Step-by-step explanation:

Given that Sara bought a car for $ 23,000 . The interest of loan is 2 .5% . And we need to write a equation g(t) to represent the amount of money that she will owe after t years. Also the amount is compound annually . We know the formula of CI as ,

<u>Compound</u><u> </u><u>Interest</u><u> </u><u>:</u><u>-</u>

$\qquad\boxed{\boxed{ \sf CI =Amount\bigg( 1 +\dfrac{Rate}{100}\bigg)^{(time)} }}$

Let us take that ,

$\sf\implies f(x)=g(t)$

<u>Put </u><u>on </u><u>the </u><u>respective</u><u> values</u><u> </u><u>:</u><u>-</u>

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