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matrenka [14]
4 years ago
7

Please help with these two math problems 1. 7^x ÷ 7^y = 2. z^10x^y ÷ z^5 =

Mathematics
1 answer:
IceJOKER [234]4 years ago
8 0

Answer:

  1.  7^(x-y)

  2. z^5x^y

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

__

1.

  \dfrac{7^x}{7^y}=\boxed{7^{x-y}}

__

2.

  \dfrac{z^{10}x^y}{z^5}=x^yz^{10-5}=\boxed{z^5x^y}

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Convert 1.09 g/ mL to lb/ gal.
ki77a [65]
 <span>1 g ≈ 0.00205 lbs </span>
<span>1 mL ≈ 2.642 * 10^(-4) gal </span>

<span>You should get... </span>

<span>1.09 g/mL ≈ 9.096 lbs/gal </span>

<span>Good luck!</span>
4 0
4 years ago
Solve the equation 3x2 + 11z – 4= 0.<br>Help I need to plug these in and find the two answers for x​
Lorico [155]

Step-by-step explanation:

Explanation:

Given:

−3x2+12x+1=0

This is in the form:

ax2+bx+c=0

with a=−3, b=12 and c=1

In order to decide which method to use, we can first examine the discriminant:

Δ=b2−4ac=122−4(−3)(1)=144+12=156

Since Δ>0 we can tell that the quadratic has 2 distinct real solutions, but because it is not a perfect square we can also tell that those solutions are irrational.

So there is no rational factorisation and we can discount the use of an AC method or similar.

We can use the quadratic formula or we can complete the square.

If we choose to use the quadratic formula, then we find:

x=−b±√b2−4ac2a

x=−b±√Δ2a

x=−(12)±√1562(−3)

x=−12±2√39−6

x=2±√393

When completing the square, note that b=12 is already divisible by a=−3 and by 

6 0
3 years ago
Solve the equation -2 = 3x/5 + 1
kirill [66]

- 2 =  \dfrac{3x}{5}  + 1 | \times 5 \\  - 10 = 3x + 5 \\  - 3x = 15 | \div ( - 3) \\ x =  - 5

4 0
3 years ago
Suppose y varies directly as x Write a direct variation
Kamila [148]

Answer:

y=7.5x, y=60

Step-by-step explanation:

you have to consider x as the input and y as output

when input  x=2 the output  y=15  so it grew by 7.5 so we can say that y= 2*7.5

in general the equation is y= 7.5*x

when x=8 we will have y=7.5*8=60

8 0
3 years ago
Kenji baked 1 brownie with nuts on top and 14 brownies without nuts. What is the ratio of the number of brownies with nuts on to
r-ruslan [8.4K]

Answer:

1:14

Step-by-step explanation:

1 with nuts

14 without nuts

The ration has to be: w:wo

So 1:14

HOPE THIS HELPS!!!

4 0
3 years ago
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