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2 years ago

8

WILL MARK B! Please I need help I have a quiz

2 answers:

Savatey [412]2 years ago

7 0

Answer:

$a) [x: - \infty < x < \infty ]$

$b)[x: - 1]$

$c) [x:- \frac{5}{3} ]$

$d) [x: 3, 0]$

$e) [x: - \frac{1}{4} ]$

MArishka [77]2 years ago

3 0

Answer:

a) 2x² - x + 3 = x(2x + 1) - 2x

<=> 2x² - x + 3 = 2x² + x - 2x

<=> 3 - x = - x

<=> 3 = 0

=> no solution

b) x/2 - x/3 - x/4 = 1/12

$\frac{6x}{12} - \frac{4x}{12} - \frac{3x}{12} = \frac{1}{12} \\ \\ \frac{ - x}{12} = \frac{1}{12} \\ \\ = > - x = 1 \\ \\ \\ < = > x = 1$

=> the euqation has the solution x = 1

c) |x - 5| = 2|x|

=> x - 5 = 2x

or x - 5 = -2x

<=> x = -5

or 3x = 5

<=> x = -5

x = -5or x = 5/3

d) defined conditions: 2 - x 》 0

<=> x 《 2

we have:

$\sqrt{x + 4} = 2 - x \\ < = > x + 4 = (2 - x) {}^{2} \\ < = > x + 4 = {x}^{2} - 4x + 4 \\ < = > {x}^{2} - 5x = 0 \\ < = > x(x - 5) = 0 \\$

<=> x = 0 (because x 《 2)

e)

$\sqrt{5} = \frac{1}{25 {}^{x} } \\ = > 5 = \frac{1}{25 {}^{2x} } \\ < = > 5.25 {}^{2x} = 1 \\ < = > 5.5 {}^{4x} = 1 \\ < = > 5 {}^{4x + 1} = 1 \\ = > 4x + 1 = 0$

<=> x = -1/4

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3 years ago

4 3/4 - 1/3 with it out simplified

otez555 [7]

Answer:

4 5/12

Step-by-step explanation:

We need a common denominator of 12

4 3/4 = 4 3/4 *3/3 = 4 9/12

1/3 *4/4 =4/12

4 9/12 - 4/12 =4 5/12

3 0

3 years ago

Sonya is 13 4 5 years old. Bill is 1 1 6 years older than Sonya and Jane is 1 1 3 years older than Bill. How old is Jane?

attashe74 [19]

Answer: 1574

Step-by-step explanation:

1345 plus 116 equals 1461

1461 plus 113 equals 1574

7 0

3 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

Rom4ik [11]

Answer:

The area of the figure will be 5π/2 in².
The perimeter will be 3π + 2 in

Step-by-step explanation:

This figure is a combination of two semi-circles.

One having diameter of 2 inches i.e. AD
Other having diameter of 4 inches i.e. AC

As

$\pi ={\frac {C}{d}}$

${{{C}}}=\displaystyle \pi.d$

Perimeter of the big figure could be computed by cutting the perimeters of each circle in half, and then combing them together.

Area could be computed using the same way.

<u>Calculating the Perimeter:</u>

As the circumference of the smaller circle is 2π in. Cutting it half would yield the circumference of the smaller semi-circle i.e. π.

As the circumference of the bigger circle is 4π in. Cutting it half would yield the circumference of the bigger semi-circle i.e. 2π.

As the length of the segment DC is 2 in.

So, the total perimeter would be: π + 2π + 2 = 3π + 2 in

<u>Calculating the Area</u>

Area could be computed using the same way as we did during measuring perimeter.

As the area of circle is

$A={\displaystyle \pi.r^{2}$

As we are dealing with semi-circles. So, cutting the diameters of two semi-circles in half can let us find the radii of them.

So,

Smaller semi-circle has 1 in radius
Larger semi-circle has 2 in radius

Areas would have to be cut in half as well, as we are dealing with semi-circles.

So,

For smaller:

$A_{small} =\frac{1}{2} {\displaystyle \pi.r^{2}$

$A_{small} =\frac{1}{2} {\displaystyle \pi.(1)^{2}$

$A_{small} =\frac{1}{2} {\displaystyle \pi$

Hence, the area of smaller will be: π/2 in²

For larger:

$A_{larger} =\frac{1}{2} {\displaystyle \pi.r^{2}$

$A_{larger} =\frac{1}{2} {\displaystyle \pi.(2)^{2}$

$A_{larger} =2 \pi^{}$

Hence, the area of larger will be: 2π in²

Combining them together:

$\frac{1}{2} {\displaystyle \pi^{} + 2 {\displaystyle \pi^{}=\frac{5}{2} {\displaystyle \pi^{}$

Therefore,

The area of the figure will be 5π/2 in².
The perimeter will be 3π + 2 in

<em>Keywords: radius, area, perimeter, semi-circle, circle, diameter, circumference of circle</em>

<em>Learn more about circle measurements from brainly.com/question/3855576</em>

<em>#learnwithBrainly</em>

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3 years ago

Read 2 more answers

10x + 9y=-15<br> -10x – 10y = 10<br> Solve by the elimination

jonny [76]

Answer:

-y = 25

y = -25

When the signs are different you add, the value for x is the same so you don't need to do anythung else but to add

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3 years ago