Expressions that simplify to the same expression are called _ _ _ _ _ _ _ _ _ _.

Answer:

true

Step-by-step explanation:

because no integers are irrational.

Answer:

4.322

Step-by-step explanation:

You would round up because of 8.

Hope this helps!! :D

Answer:

4.322

Since 8 is greater than 5, you round upwards.

Answer: (x^b)^a

Step-by-step explanation:

the inverse of a monomial with an exponent raised to another power will give the same product if you flip the exponents.

Here we have a general rule for exponents.

We will find that:

[tex](x^a)^b = x^{a*b}[/tex]

To get this, we can first check it with some values for the exponents.

a = 2

b = 3

[tex](x^2)^3 = (x^2)*(x^2)*(x^2) = (x*x)*(x*x)*(x*x) = x^6 = x^{2*3}[/tex]

Similarly, we can prove it for two general values of a and b:

[tex](x^a)^b = (x^a)*(x^a)*...*(x^a)\\b\ times[/tex]

Now each one of these parentheses has a multiplying by itself a times.

So when we write all the x's, we will see that there are a total of b*a x's

Thus we will have:

[tex](x^a)^b = (x^a)*(x^a)*...*(x^a) = x^{a*b}[/tex]

If you want to learn more, you can read:

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Answer:

3 times 4 minus a number, plus 7

3(4 - x) + 7

Answer:

6p(3q - 2).

Step-by-step explanation:

The GCF ( Greatest Common Factor) of 18pq and 12p is 6p.

So 18pq-12p = 6p(3q - 2).

Given:

The amount of time it took four soccer players to run from one goal line to the other is:

Player #1 - 10.4 seconds

Player #2 - 10.1 seconds

Player #3 - 9.9 seconds

Player #4 - 9.4 seconds

To find:

Soccer player whose time would be different from the others, if the data was only accurate to the ones place.

Solution:

We need to approximate the time to the ones place.

Player #1 - 10.4 seconds = 10 seconds

Player #2 - 10.1 seconds  = 10 seconds

Player #3 - 9.9 seconds  = 10 seconds

Player #4 - 9.4 seconds = 9 seconds

Therefore, the time of players 4 is different from others.

Hence, the correct option is D.

Answer:

$667.92

Step-by-step explanation:

Use the equation (p*1.5)*o=t

the variable p is equal to his hourly pay.

the variable o is equal to hours worked overtime.

the variable t is equal to the total amount of money they will make.

As for the 1.5, this is the way overtime is always calculated, at 1.5 times the rate of your hourly wage.

Back to the question:

the variable p is replaced by his hourly pay, $10.56.

the variable o is replaced by the amount of hours he worked overtime. Now, this part is a bit trickier because the question is designed to confuse you. If his overtime only counts if he works over 40 hours a week, then you need to subtract the 40 from his total amount of hours worked. You should get 15.5 because 55.5-40=15.5. Thus, variable o=15.5.

Lastly, you have to calculate it.

Plug in the variables to get:

($10.56*1.5)*15.5= $245.52

DON'T STOP HERE!!!

Since the question asks for how much he has earned for the week, you have to add this onto his normal salary. This part is easy, just multiply the 40 hours by his pay. So,

40*$10.56= $422.40.

Finally, add the overtime ($245.52) to his normal pay ($422.40).

$422.40+$245.52= $667.92

Answer:

43

Step-by-step explanation:

-2+3×15

45-2

43 is the answer

[tex] \frac{ - 6}{8} = - \frac{3}{4} = - 0.75[/tex]

Answer:

The correct option is;

[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]

Step-by-step explanation:

The given information is that m(x) = x² - 17·x

The above equation can be written in the form;

y = x² - 17·x

Therefore;

0 = x² - 17·x - y

From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

By comparison to the equation,0 = x² - 17·x - y, we have;

a = 1, b = -17, and c = -y

Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;

[tex]x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}[/tex]

Which can be simplified as follows;

[tex]x = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2} \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}[/tex]

And further simplified as follows;

[tex]x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}[/tex]

Interchanging x and y in the function of the inverse, m⁻¹(x), we have;

[tex]m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]

We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;

m'(x) = 2·x - 17 = 0

x = 17/2

Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;

m''(x) = 2 > 0, therefore, the point is a minimum point on the graph

Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;

[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex] to increase m⁻¹(x) above the minimum.

Answer:

b

Step-by-step explanation:

edge 2021

Answer:$9,100.09

Step-by-step explanation:

Answer:

6x - 7 = 6(x + 4)

Step-by-step explanation:

The value of the number (n) is -7.

Let a number we want to find be n.

Hence, according to the given condition, the equation will be:

⇒ 6n - 7 = -49

⇒ 6n = -42

Dividing both sides by 6, we get:

⇒ n = -7

Therefore, the number that satisfy the algebraic expression is n = -7.

Learn more about the Algebraic Expressions here: https://brainly.com/question/4348710?referrer=searchResults

#SPJ2

Answer:

[tex] (\frac{1}{2}, 2) [/tex]

Step-by-step explanation:

Using the midpoint formula, [tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex], we can find the coordinates that represents the position of the ship at noon.

Let [tex] L(-4, 7) = (x_1, y_1) [/tex] (given on the coordinate plane)

[tex] B(5, -3) = (x_2, y_2) [/tex] (given also)

Plug in the values into the formula and solve as follows:

[tex] M(\frac{-4 + 5}{2}, \frac{7 +(-3)}{2}) [/tex]

[tex] M(\frac{1}{2}, \frac{7 - 3}{2}) [/tex]

[tex] M(\frac{1}{2}, \frac{4}{2}) [/tex]

[tex] M(\frac{1}{2}, 2) [/tex]

Position of the ship at noon is best represented at [tex] (\frac{1}{2}, 2) [/tex]

4/5

subtract 1/5 from 5/5.

Answer:

4/5

Step-by-step explanation:

if he has a 1/5 of winning, the left over chances he has has to be towards losing because we already know his chance of winning, and there is no in between, so the left over is 4/5

Answer:

x = 19

Step-by-step explanation:

-8 + 22 = 13x - 5 - 12x​

switch sides

13x - 5 - 12x = -8 + 22

group like terms

13x - 12x = -8 + 22 + 5

simplify:

x = 19

D

you buy lunch and your teacher asks you how much you brought from home then you divide, simple.

Answer:

I believe the answer is x=-2, and y=3.

Step-by-step explanation:

Given: x-y=-5

Fill in: -2-3=-5

Calculate: -5=5

-------------------------------

Given: x+y=1

Fill in: -2+3=1

Calculate: 1=1

Answer:

x = -2.

y = 3.

Step-by-step explanation:

x-y=-5

x+y=1

From the first equation

x = y - 5

Substitute this in the second equation:

y - 5 + y = 1

2y = 1 + 5 = 6

y = 3.

Substitute this into the second equation:

x + 3 = 1

x = -2.

Answer:

sss

Step-by-step explanation:

sss

Answer:

Step-by-step explanation:

28x pi=87.96 in

Answer:

12

Step-by-step explanation:

9 ÷3 =3 ×4 that is how to do the problem

Answer:

EF=9

Step-by-step explanation:

DF=15

DE=6  EF=9

Write equation 6+x=15

subtract 6 on both sides

x=9 EF=9

Answer:

Not equivalent

Step-by-step explanation:

Given:

We see that

Comparing:

They have same denominator but different numerator, hence they are different

Answer:  No

Step-by-step explanation:

No there are not since 3 times 7 = 21 and 9 times 3 = 27. The numbers that are used to multiply for the answers,  7 and 9, are not the same so therefore both ratios are not equivalent.

Answer:

214°

Step-by-step explanation:

The arc subtending an angle at the centre are equal, that is

arc ED = 90° and

arc DF = 360° - (90 + 146)° = 360° - 236° = 124°

Thus

arc EDF = arc ED + arc DF = 90° + 124° = 214°

Answer:

C

Step-by-step explanation:

−√57 is -7.54983443 repeating but rounded is -7.5 which is smack dab in the middle of integers (numbers) of -7 and -8.

Answer: (b) 7.8 degrees

Step-by-step explanation: You need to pay attention to the number -8.4. It says the temperature changed by +2.7 degrees an hour for 6 HOURS. Therefore, your equation would be -8.4 + (2.7 * 6).

You have to solve whats in the parenthesis first, so your equation would end up being -8.4 + 16.2 making your answer 7.8 degrees.

Answer:

c

Step-by-step explanation:

a.) 7+7=14 and 19-5=14 ✓

b.) 9+9=18 and 11+7=18 ✓

c.) 19 and 13+5=18 ✗

d.) 20-12=8 and 4+4+8 ✓

Answer:

$315

Step-by-step explanation:

600-600=0

0+315=315

Answer: D

Jaiden should have added zeroes to the ends of the shorter decimals to get 2.615 etc

Step-by-step explanation:

The numbers that have the same unit value but different digits in the decimal place can be ordered using place value.

The statement that describes Jaden's error is; Jaiden should have added

zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623,

then he should have compared them using place values.

Reasons:

The steps are;

(1) Comparing the digits to select the ones with the least amount of digits

(2) Comparing the digits in the place values of the numbers that equal number of digits

(3) Combining the list of the above comparison into one

Required:

To select the statement that describes Jaiden's error.

Solution:

The place value indicates the multiple of 10 by which the digit is multiplied. The given numbers have the same values in the ones place value, the difference are in the numbers to the right of the decimal point.

The given numbers are;

2.615

2.65

2.7

2.623

The steps to order the numbers from least to greatest;

Then

Then

Next

The numbers 2.615, 2.623,2.650, 2.700,  are in the order from least to

greatest.

Therefore Jaiden's error is that Jaiden should have added zeros to each of

the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should

have compared them using place values.

Learn more here:

https://brainly.com/question/25078902

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