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3 years ago

3(2x - 1) = 1/2 (4x - 2) + 2 What would it be?

Mathematics

1 answer:

Novay_Z [31]3 years ago

6 0

Answer:

X = 1

Step-by-step explanation:

Just distribute properly, and distribute the fraction multiplying the numerator by 4 and 2

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Find the domain and range

LiRa [457]

Answer:

Domain: x = all reals

Range: y is less than or equal to -4

6 0

4 years ago

A section of a rectangle is shaded. The area of the shaded section is 63 square units. What is the value of x?

ella [17]

Answer:

$x=11$

Step-by-step explanation:

We have been given a graph of a rectangle. The area of the shaded section is 63 square units. We are asked to find the value of x.

We can see from our given graph that shaded section forms a trapezoid, so we will use area of trapezoid formula to find the value of x.

$\text{Area of trapezoid}=\frac{(a+b)}{2}\times h$ , where, a and b represents the parallel sides of trapezoid and h represents height of trapezoid.

Upon substituting our given values in above formula we will get,

$63=\frac{7+x}{2}\times 7$

$63=(7+x)*3.5$

Upon dividing both sides of our equation by 3.5 we will get,

$\frac{63}{3.5}=\frac{(7+x)*3.5}{3.5}$

$18=7+x$

Let us subtract 7 from both sides of our equation.

$18-7=7-7+x$

$11=x$

Therefore, the value of x is 11 units.

5 0

3 years ago

What is 7/8 as a percent and fraction

jolli1 [7]

0.80101010101010101010

5 0

4 years ago

The sum of a number and 72 times its reciprocal is -17. Find the number

butalik [34]

Let, the number = x

Then, x + 72/x = -17

x² + 72 = -17x

x² + 17x + 72 = 0

x² + 8x + 9x + 72 = 0

x(x + 8) 9(x + 8) = 0

(x + 8)(x + 9) = 0

x = -8 OR -9

In short, Your Number would be: Either -9 or -8

Hope this helps!

3 0

3 years ago

Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 23 ft by 13 ft. The resu

trapecia [35]

Answer:

Step-by-step explanation:

Given that rectangle has side length 23x13 feet.

When squares of side x are cut from all the four sides we have dimensions as

23-2x and 13-2x and height x

Volume $=x(23-2x)(13-2x)$

$=x(299-72x+4x^2)\\=299x-72x^2+4x^3$

Use derivative test

First derivative V'(x) $V'(x)= 299-144x+12x^2\\V"(x) = -144+24x$

Equate I derivative to 0

We get approximate value of x = 2.671, 9.329

Since width is 13 feet it cannot be 9.329

Hence x = 2.671

V"(x) = -80 <0

So maximum volume is

$299x-72x^2+4x^3\\=299(2.671)-72(2.671)^2 +4(2.671)^3\\\\=361.186$

5 0

3 years ago