Does changing the compound inequality x>-3 and x<3 from and to or change the solution set? Explain

Answer:

First step is simplifying the equation by moving the square root to the right side and changing it to a Square ²

Step by step:

x-4=7²

(because we changed side square root becomes exponent ²)

x=49+4

x=53

9514 1404 393

Answer:

  x ≥ 1

Step-by-step explanation:

The argument of the square root cannot be negative, so the expression is only defined for ...

  x³ -1 ≥ 0

  x³ ≥ 1 . . . . . add 1

  x ≥ ∛1 . . . .  cube root

  x ≥ 1 . . . . the domain of the expression

_____

As you can see, the graph only exists for x ≥ 1.

Answer:

b. The line passes through the ordered pair (0,5) and has a slope of 3.

Step-by-step explanation:

The equation given is in slope-intercept form.

[tex]y= mx+b[/tex]

m = slope

b = y-intercept

The slope is 3 in the equation. 3 is in m's spot.

[tex]y=\boxed{m}x+b\\\\y=\boxed{3}x+b[/tex]

The y-intercept is 5. This means that the line will pass through (0,5).

[tex]y=mx+\boxed{b}\\\\y=3x+\boxed{5}[/tex]

The correct option should be B.

Hope this helps.

Answer:

AOE

Step-by-step explanation:

A supplementary angle equals 180 which is also a straight line.

Answer:

-the ratio of the number of tacos Jackie made to the number of tacos Marta made

-the ratio of the number of tacos Marta made to the number of tacos Manny made

-the ratio of the number of tacos Manny made to the number of tacos Marta made

-the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made

Step-by-step explanation:

There are 4 that apply! Jackie and many both made 6 and Marta made 4 so the ratio is 6:4! Vinny and Marty's combined is 6 and Vinny and evelyn's combined is 4 so the ratio is 6:4!

Answer:

C. 1-x

Step-by-step explanation:

Negatives are alwys less than positives meaning a&b are out and 1-100 is -99 and 10-100 is -90 meaning that C is your answer

Answer:

Answer: Kayla used 2&5/24 cups of paint all together.

Step-by-step explanation:

Kayla paints a bookcase by using

1 5/6 cups of paint on the outside of the bookcase. Converting 1 5/6 cups to improper fraction, it becomes 11/6 cups of paint.

She also used 3/8 cup of paint on the inside.

Therefore, the total number of cups of paint that Kayla used all together would be cups of paint:

[tex]11/6 + 3/8 = (44 + 9)/24 = 53/24[/tex]  

Converting to mixed fraction, it becomes

2 and 5/24 cups of paint

Answer: 87.92cm

Step-by-step explanation:

The radius is 14, you need to find the diameter(multiplied by 2) which is (14x2) or 28 . Next Multiply 28 by pi or 3.14.

3.14x28 = 87.92

The circumference of the circle is 87.92 cm

Answer:

43 is already in the simplest form. It can be written as 1.333333 in decimal form (rounded to 6 decimal places).

Answer:

1

Step-by-step explanation:

the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)

Answer:

The correct answer to your question I believe is 1

Step-by-step explanation:

So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!

Answer:

ima say 200 but I'm not 110 percent sure

Answer:

6 servings

Step-by-step explanation:

1,25x6=7.5

The number of servings can you make deep-fried chicken will be 6.

Inequality is defined as an equation that does not contain an equal sign.

You have 8 cups of milk.

You need 1.25 cups to make one serving of deep-fried chicken.

Let x be the number of the deep-fried chicken.

Then the inequality will be

1.25x ≤ 8

On solving, we have

x ≤ 6.4

Then the number of servings can you make deep-fried chicken will be 6.

More about the inequality link is given below.

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Answer:

1/2

Step-by-step explanation:

As cosx= 2sinx,

now,

so, sinxcosx = sinx(2sinx) = 2 sin²x

Again,

2sin²x =1

sin²x= 1/2

sinx = 1/ root 2

sinx = sin 30

x = 30

Answer:

The total number of employees is 377.

Step-by-step explanation:

1. You divide total number of women (232) by the ratio of women. (8)

232/8 =29

2. You take 29 and multiply it by the amount of men in the ratio. (5)

29*5=145

3. Finally you just add the total amount of men (145) and the total amount of women. (232)

232+145=377

I hope this helps!

I tried to explain to the best of my ability.

Answer: 377 employees

Step-by-step explanation:

The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.

[tex]\frac{5}{8}= \frac{x}{232}[/tex]    After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.

Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company

Answer:

125

Step-by-step explanation:

..................

Answer:

pretty sure it's 125

Step-by-step explanation:

hope this helps!

Answer: 50° and 40°

Step-by-step explanation:

Complementary angles add up to 90°

Smaller angle - x

Larger angle - 10 + x

10 + x + x = 90

10 + 2x = 90

Subtract 10 from both sides

2x = 80

Divide both sides by 2

x = 40

Larger angle - 10 + x

10 + 40 = 50

The measure of the smaller angle is 40° and the measure of the larger angle is 50°

Hope I helped!

Answer: r= A-P/ Pt

Step-by-step explanation: ur welcome

The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.

Here,

The formula shown can be used to find A the amount of money Raul has in his saving account.

Raul wants to find r the rate of interest his money earns.

We have to find the equation is correctly solved for r.

What is Rate of interest?

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

Now,

The formula which shown to find A is;

A = P + Prt

Hence, equation is correctly solved for r is;

[tex]A = P + Prt\\\\A-P = Prt\\\\r = \frac{A-P}{Pt}[/tex]

So, The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.

Learn more about the rate of interest visit:

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Answer:

7 and 9

Step-by-step explanation:

Variables:

x = smaller number

y = larger number

We can set up two equations with the information given:

5x + 3y = 62

and

y = x + 2

We get the second equation with the information that the two numbers are consecutive and both odd. therefore the smaller number is two less than the larger number, and the larger number is two greater than the smaller number.

Next, we need to replace our y in the first equation with the y in the second:

5x + 3y = 62

5x + 3 (x+2) = 62

5x + 3x + 6 = 62

8x = 56

x (smaller number) = 7

Finally, we solve for the larger number by placing it back into the second equation:

y = x + 2

y = 7 + 2

y (larger number) = 9

I hope this helps!

-TheBusinessMan

Answer:

1) Yes

2) No, this polynomial has complex roots

3) No, this polynomial has irrational roots

Step-by-step explanation:

a. Rational roots theorem provide a complete list of all roots of

f (x) = 4x² - 25

b. Rational roots theorem does not provide a complete list of all roots of

g (x) = 4x² + 25

c. Rational roots theorem does not provide a complete list of all roots of

h (x) = 3x² - 25

What is Function?

A relation between a set of inputs having one output each is called a function.

Functions are given as;

f (x) = 4x² - 25

g (x) = 4x² + 25

h (x) = 3x² - 25

Now,

a. f (x) = 4x² - 25

To find the roots we can set up 0,

f (x) = 4x² - 25 = 0

4x² - 25 = 0

4x² = 25

Divide by 4,

x² = 25/4

Take square root both side,

x = √25/4

x = ±5/2

Thus, The function has rational roots.

So, Rational roots theorem provide a complete list of all roots.

b) g (x) = 4x² + 25

To find the roots we can set up 0,

4x² + 25 = 0

4x² = - 25

Divide by 4,

x² = - 25/4

Taking square root,

x = √-25/4

x = ±5i/2

Thus, The function has complex roots.

So, Rational roots theorem does not provide a complete list of all roots.

c) h (x) = 3x² - 25

To find the roots we can set up 0,

3x² - 25 = 0

3x² = 25

Divide by 3,

x² = 25/3

x² = 8.333

Take square root both sides,

x = √8.333

x = ±2.89

Thus, The function has irrational roots.

So, Rational roots theorem does not provide a complete list of all roots.

Therefore,

a. Rational roots theorem provide a complete list of all roots of

f (x) = 4x² - 25

b. Rational roots theorem does not provide a complete list of all roots of

g (x) = 4x² + 25

c. Rational roots theorem does not provide a complete list of all roots of

h (x) = 3x² - 25

Learn more about the rational root theorem visit:

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Answer:

Algebra and geometry...

Two lines are perpendicular if the product of their slopes is −1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)....

Step-by-step explanation:

hope the answer was helpful ......

Answer:

A

Step-by-step explanation:

Answer:

part A: 17 weeks sorry if its wrong

part b: 120 hours sorry if its wrong

Step-by-step explanation:

Math

Answer:

42 M

Step-by-step explanation:

14 =74

8/14 = ?/74

8/14= 0.57

So,

0.57*74 = 42

Answer:

x=42

Step-by-step explanation:

Please see the picture attached. I hope this helps!

Total combinations are found by multiplying the quantities of each part by each other.

3 kinds of meat x 2 types of bread x 3 types of drinks

A) total combinations = 3 x 2 x 3 = 18

B) there are 18 different combinations, ham in rye with tea is 1 combination.

The probability would be 1/18

Answer:

[tex]2S + D = 34\frac{1}{6}\ yd[/tex]

Step-by-step explanation:

Represent single windows with S and double with D.

So, we have:

[tex]S = 11\frac{2}{3}\ yd[/tex]

[tex]D = 15\frac{5}{6}\ yd[/tex]

Required

Determine the amount of fabric for 2 singles and 1 double

The above statement implies:

[tex]2S + D[/tex]

Substitute values for S and D

[tex]2S + D = 2 * 11\frac{2}{3}\ yd + 15\frac{5}{6}\ yd[/tex]

Convert fractions

[tex]2S + D = 2 * \frac{35}{3}\ yd + \frac{65}{6}\ yd[/tex]

[tex]2S + D = \frac{70}{3}\ yd + \frac{65}{6}\ yd[/tex]

Tale LCM

[tex]2S + D = \frac{140+65}{6}\ yd[/tex]

[tex]2S + D = \frac{205}{6}\ yd[/tex]

[tex]2S + D = 34\frac{1}{6}\ yd[/tex]

Hence, [tex]34\frac{1}{6}\ yd[/tex] is needed

Answer:

50/100

Step-by-step explanation:

it is a half becaus 50 is half of 100 1 is hal of 2

angles opposite each other are equal as opposed to add up to 180

so

5x = 100

x = 20

Answer:

g(3) = 0

Step-by-step explanation:

You know g(x) = 3x - 9. So, to find g(3), you have to replace x by 3 on the other side.

g(3) = 3(3) - 9

You can solve this.

g(3) = 9 - 9

g(3) = 0

Answer:

0

Step-by-step explanation:

Answer:

help

Step-by-step explanation: