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Hoochie [10]
3 years ago
12

What is the solution to the equation y3+4=120

Mathematics
1 answer:
ladessa [460]3 years ago
6 0
To solve this problem first subtract the 4 from 120.
120 - 4 = 3y + 4(-4) =
116 = 3y.
Then divide both sides by three.
116 / 3 = 3y / 3 =
38.6666666667 = y
y = <span>38.6666666667.</span> 
To double check the answer , 38.6666666667 x 3 + 4 = 120.
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Factorize of 2a³-a²+a-2​
IrinaK [193]
<h3>Answer:  (a - 1)(2a² + a + 2)</h3>

=========================================================

Explanation:

Use the rational root theorem to determine this list of possible rational roots: 1, -1, 1/2, -1/2

Plug each possible root one at a time into the original expression given. If the simplified result is 0, then that possible root is an actual root.

If we tried say a = -1, then,

2a³-a²+a-2​ = 2(-1)³-(-1)²+(-1)-2​ = -6

The result is not zero, so a = -1 is not an actual root.

But if we tried say a = 1, then,

2a³-a²+a-2​ = 2(1)³-1²+1-2​ = 0

We get 0 so a = 1 is an actual root. I'll let you try the other values, but you should find that a = 1 is the only rational root.

Since a = 1 is a root, this makes (a-1) to be a factor.

From here, use either synthetic or polynomial long division to determine the other factor. Refer to the diagram below for each method.

Regardless of which method you pick, the quotient is 2a² + a + 2 which is the other factor needed. The remainder of 0 tells us we have (a-1) as a factor. For more information, check out the remainder theorem.

5 0
1 year ago
Can I have help help on 22,24,26,28,30 please
Dmitriy789 [7]
I'll do 22 for you. 22, 24, 26, 28, and 30, are very similar to each other.

PROPORTIONS:
Draw it out.

5/7 = either c/6, or b/5. 
I'll do c/6
5/7 = c/6
solve for c
7c=30
c=30/7
now do the same thing to the remaining side, b.
there!

4 0
3 years ago
4/5 divided 8/7 HELP ASAP !!!
Leno4ka [110]

Answer:

7/10

Step-by-step explanation:

You can either use a calculator, or make both fractions have the denominator of 35 and change the two fractions to be,

\frac{28}{35}  and \frac{40}{35} then divide.

Hope that helps and have a great day!

6 0
3 years ago
Read 2 more answers
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Brut [27]

Answer:

5 packages of water and 3 packages of cheese sticks

Step-by-step explanation:

the least common multiple of 6 and 10 is 30

4 0
2 years ago
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The variable b varies directly as the square root of c. lf b= 100 when c=4, which equation can be used to find other combination
Alla [95]

Answer:

<em>b = 50√c</em>

Step-by-step explanation:

If b varies directly as the square root of c, this is expressed as;

b∝√c

b = k√c

k is the constant of proportionality

Given b = 100 and c = 4

100 = k√4

100 = 2k

k = 100/2

k = 50

Substitute k = 50 into the original expression:

Recall that: b = k√c

b = 50√c

<em>hence equation that can be used to find other combinations of b and c is b = 50√c</em>

5 0
3 years ago
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