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2 years ago

Find the zero of the function.

Mathematics

1 answer:

Shalnov [3]2 years ago

8 0

The answers is x =3 , x= -10

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Which property is illustrated?<br><br> 15 + (5 + 7) = (15 + 5) + 7

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Associative Property !!

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2 years ago

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Answer:

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2 years ago

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the length of a rectangle is 5cm greater than the width. the area of the rectangle is 84cm squared. find the length and width

Ymorist [56]

Answer:

Therefore,

$Length=12\ cm$

$Width= 7\ cm$

Step-by-step explanation:

Let the Width of rectangle be 'x' cm.

Then the length of a rectangle will be (x + 5) cm.

Area of rectangle given is 84 cm squared.

To Find:

Length = (x+5) = ?

Width = x = ?

Solution:

We have area of rectangle given as

$\textrm{Area of Rectangle}=Length\times Width$

Substituting the given values we get

$84=(x+5)x\\x^{2} +5x-84=0\\$

On factorizing we get

$x^{2} +12x-7x-84=0\\x(x+12)-7(x+12)=0\\(x+12)(x-7)=0\\(x+12)=0\ or\ (x-7)=0\\x=-12\ or\ x=7\\\therefore x =7\ cm\ \textrm{As x cannot be negative}$

Therefore,

$Length=x+5=7+5=12\ cm$

Therefore,

$Length=12\ cm$

$Width= 7\ cm$

8 0

3 years ago

What is the algebraic expression for the quotient of a number and nine

maxonik [38]

The algebraic expressions would be a÷9

3 0

3 years ago

Substitution method<br>6x-7y=5,3x+y=-1

uranmaximum [27]

Answer:

$x = - \frac{2}{27}$

$y = - \frac{4}{5}$

Step-by-step explanation:

Lets call

$6x - 7y = 5$

equation 1

$3x + y = - 1$

equation 2

using equation 2, we would make y the subject of the formula as it would be easier

$y = - 1 - 3x$

This would now be called our equation 3

Now the next step is to substitute equation 3 in equation 1

$6x - (7( - 1 - 3x)) = 5$

$6x - ( - 7 - 21x) = 5$

$6x + 7 + 21x = 5$

$27x = 5 - 7$

$27x = - 2$

Divide both sides by 27 $\frac{27x}{27} = - \frac{2}{27}$

$x = \frac{ - 2}{27}$

Substitute the value of x in equation 2

$3( \frac{ - 2}{27} ) + y = - 1$

$- \frac{ 2}{9} + y = - 1$

$y = - 1 + \frac{2}{9}$

$y = - \frac{ 8}{10}$

$y = - \frac{4}{5}$

6 0

2 years ago