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3 years ago

(4x²+9x-7)+6(x²-10x+3)

Mathematics

1 answer:

polet [3.4K]3 years ago

8 0

Answer:

1Step-by-step explanation:

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The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5

Arada [10]

Answer:

Width = 15 inches Length = 20 inches

Step-by-step explanation:

The area of a rectangle is calculated using the following formula.

$A = Lx$ (1)

Where L is the length and x is the width of the rectangle

In this case we know that the length of the rectangle is 5 inches greater than its width. This means that:

$L = x + 5$ (2)

Also The area of a rectangle can be represented by the equation $x^2 + 5x = 300$

so to find the width x we solve the equation

$x^2 + 5x -300=0$ (3)

For an equation of the form $ax ^ 2 + bx + c = 0$ the quadratic formula is:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

In this case note that:

$a=1\\b=5\\c=-300$

Then:

$x=\frac{-5\±\sqrt{(5)^2-4(1)(-300)}}{2(1)}$

$x=\frac{-5\±\sqrt{25+1200}}{2}$

$x=\frac{-5\±\sqrt{1225}}{2}$

$x=\frac{-5\±35}{2}$

$x_1=\frac{-5+35}{2}$ → $x_1=15$

$x_2=\frac{-5-35}{2}$ → $x_2=-20$

We take the positive solution $x=15\ in$

Now we use equation (2) to find L

$L = x + 5$

$L = 15 + 5$

$L = 20\ in$

8 0

4 years ago

Please help mee (don't send a link)

zlopas [31]

Answer:

Step-by-step explanation:

the sign flips when you divide or multiply one

5 0

3 years ago

Read 2 more answers

Out of 100 emails, 60 are spam and 48 of those contain the word buy. Of the remaining 40 emails that are not spam, only 4 emails

wel

Answer with Step-by-step explanation:

Contain Buy Do not contain Buy Total

Spam 48 12 60

Not Spam 4 36 40

P(it contains the word buy and it is spam)=48/100

P(It is spam)=60/100

Baye's theorem states that:

P(A given B)=P(A∩B)/P(B)

P( it contains the word buy, Given that an email is spam)

=P(it contains the word buy and it is spam)/P(It is spam)

= 0.48/0.60

=0.80

Hence, Correct option is:

A.] 0.80

5 0

3 years ago

Read 2 more answers

WRITE THE FOLLOWING EQUATION IN THE FORM OF Y=MZ (a) 3x+4y=7

Shalnov [3]

Answer:

$y = \frac{ - 3x}{4} + \frac{7}{4}$

Step-by-step explanation:

First transpose 3x

you are having 3x+4y=7

by transposing you will get

4y=-3x+7

divide by 4 throughout by making y subject of the formula you will find your equation as y=mx+c.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=8%20%5Cfrac%7B3%7D%7B5%7D%20" id="TexFormula1" title="8 \frac{3}{5} " alt="8 \frac{3}{5} " ali

IRINA_888 [86]

Answer:

Step-by-step explanation:

8 3/5 is already in simplest form. You could write this mixed number as an improper fraction:

43/5

or as a mixed decimal number:

8.6

5 0

3 years ago