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3 years ago

Which ordered pair is a solution to the equation? y=x3/4

Mathematics

2 answers:

Leni [432]3 years ago

6 0

Answer:

(8,6)

Step-by-step explanation:

y=x3/4

y=8(3/4)

y=24/4

y=6

when you input 8 for x, you get 6 for y.

nika2105 [10]3 years ago

6 0

Answer:

Step-by-step explanation:

y = x3/4 is ambiguous. I will assume that you meant

x^3

y = ---------

Then, if x = 8, y = 128 (not a solution)

If x = -8, y = -128 (not a solution)

If x = 6, y = 54 (not a solution)

If x = -4, y = -1/4 (not a solution)]

Ensure that you have copied down this problem correctly.

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I need to be walked through this please.

Aleksandr [31]

Https://us-static.z-dn.net/files/dd1/572d05be5373c1dc9c067ca6690a41a1.jpeg

3 0

4 years ago

Mariam went to a shop and bought 8 snickers, 3 galaxy and 3 kitkat. She payed 8 BD

KiRa [710]

Answer:

Yes

Step-by-step explanation:

Let s be the price of snickers, g the price of galaxy and k the price of kitkat.

●For Mariam the equation will be:

8 s + 3 g + 3k = 8

●For Zainab the equation will be:

4 s + 9 g + 4 k = 10.9

Take the first equation and divide both sides by 4 to make it easier.

You get:

● 2s + 0.75 g + 0.75k = 2

Take the second equation and divide both sides by 2 to make easier.

You get:

● 2s + 4.5g + 2k = 5.45

The new system of equation is:

● 2s +0.75g + 0.75k = 2

● 2s + 4.5g + 2k = 5.45

Express s in the first equation using the other variables.

● 2s +0.75g +0.75k = 2

● 2s + 0.75(g+k) = 2

● 2s = 2-0.75(g+k)

● s = 1- 0.325 (g+k)

Replace s by the new expression in the second equation:

●2 [1-0.325(g+k)] +4.5 g +2k = 5.45

●2-0.75(g+k) +4.5g + 2k = 5.45

●2- 0.75g -0.75k +4.5 g +2k = 5.45

●2+ 3.75g + 1.25k = 5.45

● 3.75g +1.25k = 3.45

We have eliminated one variable (s)

We will keep (3.75g+1.25k=3.45) and use it.

Now that we eliminated in the second equation do it again in the first one.

You will get a system of equations with two variables.

Solve it and replace g and k with the solutions.

Finally solve the equation and find s.

8 0

3 years ago

Find 2 consecutive even numbers such that the sum of the

Elena L [17]

Answer:

14,16

Step-by-step explanation:

Let x be the first even number.

Let y be the 2nd even number.

Given, y - x = 2 (Since they are 2 consecutive even numbers.)

rearranging the equation: y = x+2 (equation 1)

Also given,

$y+2x=44\\$ (equation 2)

Now we can substitute equation 1 into equation 2 to find x.

$x+2+2x = 44\\3x+2 = 44\\3x = 44-2\\3x=42\\x = \frac{42}{3} \\x = 14$

Given the smaller even number x, is 14, we will substitute x into equation1 to find y, the bigger even number.

y = 14+2

= 16

Therefore the 2 numbers are 14 and 16.

6 0

2 years ago

Read 2 more answers

Assume that 11 people, including the husband and wife pair, apply for 4 sales positions. People are hired at random.

Nastasia [14]

27% probability both husband and wife will be hired

5 0

3 years ago

(Will give Brainliest/5 Stars if correct answer)

tensa zangetsu [6.8K]

Answer: Choice D)
The angle between the two vectors is approximately 71.6 degrees

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

Work Shown:

Each time I write the word "dot" I mean "dot product".

|u| = length of vector u
|u| = sqrt(u dot u)
|u| = sqrt(<8,4> dot <8,4>)
|u| = sqrt(8*8 + 4*4)
|u| = sqrt(64 + 16)
|u| = sqrt(80)
|u| = sqrt(16*5)
|u| = sqrt(16)*sqrt(5)
|u| = 4*sqrt(5)

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

|v| = length of vector v
|v| = sqrt(v dot v)
|v| = sqrt(<9,-9> dot <9,-9>)
|v| = sqrt(9*9 + (-9)*(-9))
|v| = sqrt(81+81)
|v| = sqrt(2*81)
|v| = sqrt(2)*sqrt(81)
|v| = sqrt(2)*9
|v| = 9*sqrt(2)

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

u dot v = <8,4> dot <9,-9>
u dot v = 8*9 + 4*(-9)
u dot v = 72-36
u dot v = 36

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

cos(theta) = (u dot v)/(|u|*|v|)
cos(theta) = (36)/(4*sqrt(5)*9*sqrt(2))
cos(theta) = (36)/(36*sqrt(10))
cos(theta) = 1/(sqrt(10))
cos(theta) = sqrt(10)/10
theta = arccos(sqrt(10)/10)
theta = 71.56505
which rounds to 71.6 when rounding to one decimal place (nearest tenth)

That's why the approximate answer is roughly 71.6 degrees

7 0

3 years ago