X^3 = 1,000
algebratic equations

Answers

Answer 1

Answer:

10

Step-by-step explanation:

x³=1000

x=3√1000

x=10

Answer 2

Answer:

x = 10   or   x = -5 + 5*i*sqrt(3)   or   x = -5 - 5*i*sqrt(3)

Step-by-step explanation:

x^3 = 1000

x^3 - 1000 = 0

(x - 10)(x^2 + 10x + 100) = 0

x = 10 or x^2 + 10x + 100 = 0

x = 10 or x^2 + 10x + 25 = -100 + 25

x = 10 or (x + 5)^2 = -75

x = 10 or x + 5 = sqrt(-75) or x + 5 = -sqrt(75)

x = 10   or   x = -5 + 5*i*sqrt(3)   or   x = -5 - 5*i*sqrt(3)


Related Questions

The admission fee at a museum is $5 for children and $16 for adults. Yesterday, 800 people came to the museum and $8400 was collected. How many children and how many adults came to the museum?

Answers

(c + a = 800)5
5c + 16a = 8400
5c + 5a = 4000
Subtract
11a = 4400
a = 400
There were 400 children and 400 adults

Mrs. Cohen has 950 pencils and she has 2 huge boxes, how many pencils is in each box?

Answers

Answer:

475 pencils in each box

Step-by-step explanation:

950/2= 475

Youd divide 950 by 2 where 2 represents the 2 boxes

Emma says that Function A has a greater initial value. Is Emma correct? Justify your response.

Answers

Answer:

the answer is B I think sorry if I'm wrong

We want to check if function A has a greater initial value than function B. We will see that Emma is incorrect, the correct option is the third one.

Linear equations:

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept (we can also call the y-intercept as the initial value).

For function A we can see that the initial value is y = -2

While for function B we need to find it, but by looking at the table, we can see that for each increase of 2 units in the x-variable we have an increase of one unit on the y-variable.

Then we can see that for x = 0, we would have y = 1.

Meaning that the initial value of function B is y = 1, which is greater than the one for function A.

Then Emma is incorrect, the correct option is the third one.

If you want to learn more about linear functions, you can read:

https://brainly.com/question/4025726

PLEASEEE HELPP

solve for x

x/4 ≥ -8


x ≥ -2

x ≥ -32

x ≤ -32

x ≤ -2

Answers

Answer:

Step-by-step explanation:

X/4 ≥ -8

4 x X/4 ≥ -8 x 4

X ≥ -32

Can you help me

(1). If f(x)=|x−5|+3, find f(2).


11


6


4


0

(2). If f(x)=8−3|x+2|, find f(−6).


−16


−4


4


20

(3). What is the turning point of the graph of f(x)=|x−2|+3?


(2, −3)

(2, 3)

(−3, 2)

(3, 2)

Answers

(1).

f(x) = |x − 5| + 3

f(2) = |2 − 5| + 3 = |−3| + 3 = 3 + 3 = 6

(2).

f(x) = 8 − 3|x + 2|

f(−6) = 8 − 3|−6 + 2| = 8 − 3|−4| = 8 − 3·4 = 8 −  12 = − 4

(3).

For f(x) = |x − h| + k the turning point is (h, k), so:

f(x) = |x − 2| + 3   ⇒  the turning point is: (2, 3)

The value of f (2) will be;

⇒ f(2) = 6

The value of f (- 6) will be;

⇒ f(-6) = 4

The turning point of the graph will be;

⇒ (2, 3)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

1) The function is,

⇒ f(x) = |x−5| + 3

2) The function is,

⇒ f(x) = 8 - 3 |x+ 2|

3) The function is,

⇒ f(x) = |x−2| + 3

Now,

1) The function is,

⇒ f(x) = |x−5| + 3

Put x = 2;

⇒ f (2) = |2 - 5| + 3

⇒ f (2) = 3 + 3

⇒ f(2) = 6

2) The function is,

⇒ f(x) = 8 - 3 |x+ 2|

Put x = - 6;

⇒ f (- 6) = 8 - 3 |- 6 + 2|

⇒ f (-6) = 8 - 3 × 4

⇒ f(-6) = 8 - 12

⇒ f (- 6) = - 4

3) The function is,

⇒ f(x) = |x−2| + 3

We know that;

Turning point of the function f (x) = |x - h| + k are (h, k)

So, By comparing we get;

The turning point of the graph of f(x) = |x−2| + 3 are (2, 3).

Thus, The value of f (2) will be;

⇒ f(2) = 6

The value of f (- 6) will be;

⇒ f(-6) = 4

The turning point of the graph will be;

⇒ (2, 3)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Are rectangles ABCD and WXYZ congruent? Why or why not?

A. Yes, all right angles were preserved

B. Yes, both rectangles have an area of 24 square units.

C. Yes, a 180° rotation about the origin will map ABCD to WXYZ.

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Answers

Answer:

D.

Step-by-step explanation:

ABCD area =12

WXYZ area=24

Answer:

D

Step-by-step explanation:

Gerard concluded that the triangle with sides StartRoot 95 EndRoot feet, 8 feet, and StartRoot 150 EndRoot cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? Explain.

Answers

Answer:

Check explanations for answer

Step-by-step explanation:

Here, we want to find out how Gerard came to the conclusion

For him to arrive at this conclusion, then we should consider the lengths given if they form a right triangle and are suitable for the building frame

From the lengths that we have

If we square the longest length, then the sum of the squares of the two other lengths should be the same as it is

This is in obedience to Pythagoras’ theorem

However, this does not hold

√(150)^2 is not equal to 8^2 + (√(95))^2)

and so since this does not work, then the triangle is not right-angled and cannot be use as the frame

Answer:

Step-by-step explanation:Sample Response: Gerard determined that the squares of the two smaller sides did not equal the square of the longest side. The side lengths did not create a true statement of the Pythagorean theorem.

Find the values of X and Y

Answers

Answer:

x=90, angle bisector theorem

y=43,

90+47+y=180

=137+y=180

y=43

A $400 table is on sale for 33% off. There is a 6.8% sales tax. How would you find the final price of the table?​

Answers

Answer:

if i am right it 260

Step-by-step explanation:

Question 2. Mode is the
(a) middle most frequent
value
(b) least frequent value
(c) maximum frequent value
(d) none of these​

Answers

A... mode is the value that appears the most.

what fraction is equivalent to -3/7
A. 3/-7
B.-3/-7
C.-7/3
D.7/3
ALSO PLEASE SAY HOW I NEED TO EXPLAIN HOW ITS EQUIVALENT​

Answers

Answer:

A

Step-by-step explanation:

It is equivalent because as along as only one has the negative sign, then it will still be negative. Both being negative makes it positive and flipping the fraction changes the value.

Answer:

A

Step-by-step explanation:

the negative sign is exchangeable between the denominator and numerator because positive multiplied or divided by a negative will aways be a negative

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Step-by-step explanation:

The sum of all angles in a triangle is always 180.

So we can set up an equation

3/2x+1/2x+x= 180

3/2+1/2x+2/2x=180

3x+1x+2x=360

6x=360

x=60

Mia wants to borrow £6000 and repay it, with interest, after two years. she sees two offers for loans: offer 1 compound interest 3% per year offfer 2 compound interest first year 1% second year 3% mia says, iwill payback the same amount because the average of 1% and 5% is 3% is she correct?

Answers

Answer:

she is wrong, offer 2 results in lower interests

Step-by-step explanation:

total amount paid if offer 1 is accepted:

$6,000 x (1 + 3%)² = $6,000 x 1.0609 = $6,365.40

she will pay $365.40 in interests

total amount paid if offer 2 is accepted:

($6,000 x 1.01) x 1.05 = $6,060 x 1.05 = $6,363

she will pay $363 in interests

Compounding interest refers to interest that earns more interest itself, e.g. in the first offer, the $180 of interests charged for the first year will earn $5.40 in extra interests. While offer 2 only charges $60 in interests during the first year which will in turn earn $3 of interests. The difference between both offers is that interest charges in offer 1 earn more interests than the interest in offer 2 = $5.40 - $3 = $2.40

PLS HELP
What is the y-intercept of the linear function

Y= 2/3 x + 1

is it

-2

2

1

-1

Answers

Answer:

1

Step-by-step explanation:

Slope intercept form is: y=mx+b

b is your y-intercept

the width of a rectangle is ycm and its length is y+2 cm. if the perimeter of the rectangle is 32cm what is the width of the rectangle​

Answers

Answer:

[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]

ꜰɪʀꜱᴛ ᴡᴇ ᴡʀɪᴛᴇ ᴛʜᴇ ɢɪᴠᴇɴ↴

⇒WIDTH = Y cm

⇒LENGTH =( y+2 )cm

⇒PERIMETER = 32cm

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

solution ↴

perimeter of rectangle = 2 ( length + width)

[tex]32cm = 2( (y +2) +y )cm \\ \frac{32}{2} cm = 2y + 2cm \\ 16cm = 2y - 2cm \\ 16 cm- 2 cm=2y\\ 14cm = 2y \\ y = \frac{14cm}{2} \\ y = 7cm

[/tex]

☛ so the width of the rectangle is 7cm

so we all done :D

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

A farmer buys several gallons.g. of
fertilizer for $8.25 each and an
irrigation unit for $65. He spends a
total of $683.75. Determine the
number of gallons of fertilizer the
farmer bought

Answers

Answer:
Step-by-step explanation:
8.25(g)+65=683.75

hi sorry im slow could someone help

Answers

Answer:

95

Step-by-step explanation:

Pls help me and I’ll give brainliest

Answers

Answer:

-2

Step-by-step explanation:

do you need an walk through?

Veronica is buying a new pair of Hollister jeans for $50.00. They are on sale for 25% off.
a. What is the sale price of the jeans?

Answers

Answer:

$37.5

Step-by-step explanation:

25% = 1/4

50/4 = 12.5

50 - 12.5 = 37.5

hope this helped (:

Answer:

37.5

Step-by-step explanation:

Convert the 25% to a decimal (0.25) and multiply by 50

Which is 12.5

Subtract 50 by 12.5

Answer is $37.5

You could also multiply 50 * .75

Question in the photo

Need an answer asap!

Answers

Answer:

25 = y

Step-by-step explanation:

We know that x = 4/5 y

20 = 4/5 y

Multiply each side by 5/4

5/4 * 20 = 5/4 * 4/5 y

25 = y

Help me guys plsss!!!!!

Answers

Answer:

I have no idea

Step-by-step explanation:

is the discriminant of g positive, zero, or negative

Answers

Answer: negative

Step-by-step explanation:

the x values are negative

Answer:

negative

Step-by-step explanation:

help please? i dont wanna fail qwq

Answers

Answer:

I have no idea

Step-by-step explanation:

Xander is planning on building a house. The blueprints show a house that is 3 inches wide and 2 inches tall. The blueprints use a scale in which 14 inch represents 2 feet.

How wide and tall will the actual house be?

Drag and drop the height and width of the actual house into the boxes.

Answers

Answer:

16ft tall and 24ft wide

Step-by-step explanation:

Answer:

16ft 24ft

Step-by-step explanation:

i got the same qestion and its correct.

yo can you help me with this

Ahoy there, matey! Our pirate ship had 5/6 of a treasure chest full of gold. Then we plundered an enemy ship and took their 3/8 of a treasure chest full of gold. How many treasure chests full of gold do we have now?

Answers

Answer:

1 5/24

Step-by-step explanation:

5/6+3/8

find common denominator: 24

5/6=20/24 3/8=9/24

add:

20/24+9/24=29/24

simplify:

29/24=1 5/24

hopefully this helps :)

Answer:

[tex]\frac{11}{24}[/tex]

Step-by-step explanation:

The cost of one apple and one banana at the school canteen is $1 and the cost of 3 apples and 2 bananas is $2.40. Find the cost of a single banana, using simultaneous equation, elimination method. Show full working out.

Answers

Answer:

I don't know

I don't know

let the apple equal to x and let the banana equal to y

Equation one is x+y= 1

Equation two is 3x+2y= 2.40

Because we are doing the elimination method, multiply all of equation one by 3


3x+3y=3
3x+2y=2.40
(subtract the equations from one another)


So now you have y=60 cents

So, one banana costs 60 cents

Which ordered pair does NOT represent a point located in IV Quadrant ?

A (0.001, -0.001)
B (0, -5)
C (0.5, -8.75)
D (9, 999, -9, 999)

Answers

Answer:

B

Step-by-step explanation:

If a point is on the line of origin it doesn't count as being in any quadrant.

What is the solution to the following system of equations?

4x + 2y = 6
x − y = 3

A. (2, 1)
B. (−2, −1)
C. (2, 4)
D. (2, −1)

Answers

The answer is d I know for sure

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
O (3,-4)
O (-3,-4)
0 (-4,-3)
O (-4.3)

Answers

We can use the equation of tangent as a structure.

[tex]y - f(a) = f'(a)(x - a)[/tex]

Our f(a) is y-point and Our a is x-point..

Looking back at the equation, our f(a) would be 3 and a would be - 4

Therefore the answer is (-4,3)

What are the answers?

Answers

Answer:

Step-by-step explanation:

I need the statements please.

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