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3 years ago

Find x if the perimeter of a rectangle is 140. The rectangle has a length of 5x and a width of 4x-2.

Mathematics

1 answer:

RSB [31]3 years ago

4 0

Answer:

x=8

Step-by-step explanation:

p=(l+b)

140=2(x+4x-2)

140=2(9x-2)

140=18x-4

140+4=18x

144=18x

144/18=x

8=x

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F(x)= x^2– 3x + 9<br> g(x) = 3x^3+ 2x^2– 4x – 9<br> Find (f - g)(x).

denis-greek [22]

Answer:

$\large \boxed{\sf \ \ -3x^3-x^2+x+18 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

$(f-g)(x)=f(x)-g(x)=x^2-3x+9-(3x^3+2x^2-4x-9)\\\\=x^2-3x+9-3x^3-2x^2+4x+9\\\\=\boxed{-3x^3-x^2+x+18}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

-5/4-(-1/6) help please

tiny-mole [99]

A way to add fractions that always works is to multiply each numerator by the denominator of the other, then express the sum of products over the product of the denominators.
$\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{d}+\dfrac{c}{d}\cdot\dfrac{b}{b}\\\\=\dfrac{ad+bc}{bd}$

Here, you have
$\dfrac{-5}{4}-\dfrac{-1}{6}=\dfrac{-5\cdot6-(-1)\cdot4}{4\cdot6}=\dfrac{-26}{24}\\\\=\dfrac{-13}{12}=-1\frac{1}{12}$

The sum is -1 1/12

3 0

3 years ago

Find the slope of the lines through the points (2,-5) and (7,1)

ELEN [110]

Answer:slope=1.2

Step-by-step explanation:

Slope=y-y/x-x

=1-(-5)/7-2

= 6/5

=1.2

7 0

3 years ago

CAN someone help

Lorico [155]

Answer:

Sara

Step-by-step explanation:

6 0

2 years ago

A survey was conducted

inna [77]

Answer: 9/25 or 36%

Step-by-step explanation:

72 + 28 + 62 + 38 = 200

There are 200 people in total and 72 are youngsters who like sport cars.

So, the number of youngsters who like cars out of the total number of people is 72/200.

Now, find a greatest common divisor. In this case, the greatest common divisor is 8.

72 / 8 = 9

200 / 8 = 25

9/25 (fraction)

25 * 4 = 100

9 * 4 = 36

36/100 = 36% (percentage)

4 0

4 years ago

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