8. Which of the following are equivalent expressions?
a) x2, -X2, -(x2)
b) 3x - 7, (3x) - 7, 3(x - 7)
c) -2x + 8, -(2x + 8), -(2x - 8)
+

Answer:

[tex]\sqrt{4^{3} }[/tex]

Step-by-step explanation:

4 to the power of 3/2 is the same thing as [tex]\sqrt{4^{3} }[/tex]

since the numerator (3) represents the exponent, and the denominator (2) is the root

think of it like this: [tex]4^{2}[/tex] is (4x4) and [tex]4^{1}[/tex] is just 4 and so [tex]4^{\frac{1}{2} }[/tex] is 2 since it is the inverse of [tex]4^{2}[/tex] and the inverse of a power is a root, so the denominator always is the root and the numerator is the power

The function f(x) = (x + 5)³ when expanded is f(x) = x³ + 15x² + 75x + 125

The function in the equation is given as

f(x) = (x+5)^3

Rewrite this function properly

So, we have the following representation

f(x) = (x + 5)³

Solving further, we need to expand the expression into factors

So, we have the following representation

f(x) = (x + 5)(x + 5)(x + 5)

Next, we expand the first two brackets in the equation

This gives

f(x) = (x² + 5x + 5x + 25)(x + 5)

Evaluate the like terms

This gives

f(x) = (x² + 10x + 25)(x + 5)

Solving further, we need to expand the last two brackets

So, we have the following representation

f(x) = (x³ + 5x² + 10x² + 50x + 25x + 125)

Evaluate the like terms

This gives

f(x) = (x³ + 15x² + 75x + 125)

Remove the brackets

So, we have

f(x) = x³ + 15x² + 75x + 125

Hence, the function is f(x) = x³ + 15x² + 75x + 125

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Answer:

the graph is in link

Step-by-step explanation:

y ..... means full  line and shading above the line

Y< ......means  doted  line and shading below the line

A) solution is overlapping shaded part

B) (10,5)

plug in point in inequalities and check if it's true; if it's true you showed that solution is correct

1. 5-1/2*10 + 2 1/2

 5 -5 + 2 1/2

 5 -2 1/2 TRUE

2. 51/5*10 + 6

  5< 2 + 6

5< 8  TRUE

Answer:

x={-1,1,3,5}

Step-by-step explanation:

x={-1,1,3,5}

Answer:

Isnt it -3?

Step-by-step explanation:

Answer:

The two angles ADB and BDC are congruent since they are both right angles.

The segment AD and CD are congruent since D is the midpoint of AC.

Segment BD is in common for the two triangles.

The triangles ABD and BCD are congruent by SAS. In particular, Angle A is congruent to angle C (they are opposite to congruent sides), QED

Answer:

1.41421356237

Step-by-step explanation:

After every decimal place value, or decimal point, there are infinite rows of invisible 0's

In 1.4, there are countless invisible 0's, which would look like this

1.40000000000000000...

Same for 1.41421356237

1.4142135623700000000...

So now, you can compare and see that 1.41421356237 has a 1 in the hundredths place, while 1.4 has a 0 in the hundredths place

Thus, 1.41421356237 is greater than 1.4

Answer:

1500

Step-by-step explanation:

we can do simple triangle numbers to do this. 4 more seats per row. we take 10 which is the first row and add the last row which 110 because 4*25 rows is 100 more. now we can half the rows to 12.5 and multiply that by the 120 and we get 1500 and we are done

Step-by-step explanation:

I'll try to get this out as as quickly as I can! In this scenario, we have a function m(x). We can also view m(x) as y to make everything easier to understand. It is said that m(x) = 1, which can also be interpreted as for whatever value x may be, the y value is 1. Whether x is -9, 0, 3, 1, or 2/3, the y-value will be 1. The table can be filled out with as many x-values as needed, with corresponding 1's for each.

Next, we have to graph. Try to visualize what this graph might look like. For whatever x-value given, the y-value will be 1. Our graph will have to be a horizontal line through the y-value (0, 1). This represents that for whatever x-value, the y-value will be 1.

Hopefully that's helpful! :)

Answer:

8690

Step-by-step explanation:

there is no distributive property just multiply using a regular calculator

Answer:

a)400.9 cm

b)4.009 m

c) 181.71 mm

Step-by-step explanation:

a) First know that when you move from cm to mm you multiply by 10 and when you move from mm to cm you divide by 10 because 1mm= 0.1 cm

so 4009mm/10 = 400.9cm

b) when you move from m to mm you multiply by 1000 but when you move from mm to m you divide by 1000 ,so 4009/1000 = 4.009

c) 1litre= 1000000mm³

6litre= x

xlitre= 6000000 litre mm³

divide by litre

x= 6000000 mm³

but according to the question we are not looking for cubic mm but mm the fore remove cubic by insterting cube root

x= 181.71 mm

: . c)181.71 mm

Answer:

Step-by-step explanation:

red and green

you know this because the red line has an X intercept at 1.5,0 which can be seen on the graph, as well as a Y intercept of 0,-3 which means that 2x-3 is represented by the red line

the green line passes through 0.8, 0 for its x intercept and 4,0 for its y intercept which is also seen on the graph by the green line.

to prove this, set each equation equal to zero and solve-

so 2x-3=0

2x=3

x=1.5

4-5x=0

-5x=-4

x=0.8

also the whole number in each equation (-3 and the 4) are y intercepts since when x is zero they are themselves

Answer:

Jose has 36 outfits in total, just multiply all the numbers together

Step-by-step explanation:

Answer:

6.4 is the correct answer

Answer:

Which one is underlined?

Step-by-step explanation:

the frist 5 is in the 100 millionth place

the frist 0 is in the 10 millionth place

the frist 4 is in the 1 millionth place

the second 4 is in the 100 thousand place

the second 0 is in the 10 thousand place

the second 5 is in the 1 thousand place

the 6 is in the 100s place

the 2 is in the 10s place

and the 3 is in the 1s place

It wouldn't let me post the answer. See images for the answer and explanation

The function that has the least minimum value is function F & the function that has the greatest minimum value is function K.

Given:

Find:

Solution:

From the question, we get;

[tex]h(x) = 2(x-1)^{2}[/tex]

⇒ h(x)min = 0

⇒ g(x)min = -5

⇒ f(x)min = -7

⇒ k(x)min = 7

So,  f(x)min < g(x)min < h(x)min <  k(x)min

Therefore, The function that has the least minimum value is function F & the function that has the greatest minimum value is function K.

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Find the sum of 12.351 and 0.5362

12.351 + 0.5362 = 12.8872

Answer:

b

Step-by-step explanation:

Answer:

it's hardware.

.

hope I helped!

Answer:

BEF

Step-by-step explanation:

Yeah-ya.............. right?

Answer:

TAY I THINK ITS TAY C PART TAY

Answer:

Step-by-step explanation:

2 1/2

Answer:

7,200 words

Step-by-step explanation:

Answer: 4,800

I multiplied 120 by 20 because 60 divided by 3 is 20. Then I multiplied my answer by 2 because the question is asking how many words could they type in 2 hours

at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male

>> The total number of teachers in school would be

>> Thus, the fraction of male teachers in school would be;

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- Happy Holidays! -

The required fraction of male teachers in teachers is 11/25.

Fraction is defined as the number of compositions that constitutes the Whole.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Total number of teachers = female + male
                                       = 14 + 11 = 25 teachers

Fraction of male teachers = male teachers / teachers = 11 / 25

Thus, the required fraction of male teachers in teachers is 11/25.

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Answer:

It will have 3 roots

The number of roots in an equation equals the highest power of that equation.

Step-by-step explanation:

[tex]\\ \sf\Rrightarrow 1\dfrac{2}{5}m-\dfrac{3}{5}(\dfrac{2}{3}m+1)[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{7}{5}m-\dfrac{3}{5}(\dfrac{2m+3}{3})[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{7m}{5}-\dfrac{6m+9}{15}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{21m-6m-9}{15}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{15m-9}{15}[/tex]

[tex]\\ \sf\Rrightarrow m-\dfrac{3}{5}[/tex]

The simplified form of the expression is m - 3/5

Given the expression 1 2/5 m - 3/5 (2/5m + 1)

We need to simplify the term. Expand the bracket to have:

1 2/5 m - 3/5 (2/3m + 1)

1 2/5 m -2/5 m - 3/5

7/5 m - 2/5 m - 3/5

(7m-2m)/5 - 3/5

5m/5 - 3/5

m - 3/5

Hence the simplified form of the expression is m - 3/5

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Answer:

B. 6

Step-by-step explanation:

D. 12 cant be multiplied to get 18

C. 4 cant be multiplied to get 18

A. 2 is a common factor of 12 and 18 but not the greatest.

B. 6 times 2 is 12 and 6 times 3 is 18 so 6 is the greatest common factor.

Answer:

B

Step-by-step explanation:

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 18: 1, 2, 3, 6, 9, 18

The common ones are 1, 2, 3, and 6. The greatest one among these is 6.

Factors are numbers you multiply with another natural number to get another number. For example, the factors of 16 will be all the numbers that can be multiplied with an integer to get 16. 1* 16 is 16, so 1 will work. 2 *8 is 16, so 2 will work. But, 3 * 16/3 is 16 so 3 won't work. You get the point. Hope this helps and pls give brainliset.

Answer:

add the exponents

Step-by-step explanation:

Answer:

3m/s

Step-by-step explanation:

Answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10!!

Step-by-step explanation: