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Mariulka [41]
3 years ago
11

How many solutions does the system have?

Mathematics
1 answer:
Maksim231197 [3]3 years ago
3 0

Answer:

B. No solution

Step-by-step explanation:

y = 3x+9

y = 3x-7

Set the two equations equal since they are both equal to y

3x+9 = 3x-7

Subtract 3x from each side

3x+9-3x = 3x-7-3x

9 = -7

This is never true, so there are no solutions

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Zack wants to make a profit of more than $300 for painting 4 identical rooms. The profit he
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Answer: n-4(32.5) > 300;n > 430tep-by-step explanation:

Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is

Profit > $300

the profit he makes is equal to the amount he is paid - the cost of supplies. The cost of supplies is $32.50 for each room. That is

n - 32.5 and

P + 32.5 × 4

Where 4 = number of rooms

P + 130

n-4(32.5) > 300;n > 430tep-by-step explanation:

given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is

Profit > $300

Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is

n - 32.5 and

P + 32.5 × 4

Where 4 = number of rooms

P + 130

The minimum profit = 300 + 130 = $430

n-4(32.5) > 300;n > 430 430

7 0
3 years ago
Hey ! Can anyone help me solve these problems please. Thank you !
Bas_tet [7]
There are 3 sides to the 360 degree circle. This mean by dividing 360 by 120 = . This mean the answer would be 120 degrees per chunk of the circle. Hope this helps.
6 0
2 years ago
A mother is 26 years older than her daughter. The daughter is one-third her mother's age. How old is each now? When will the mot
marshall27 [118]

Answer:

  • now: daughter: 13, mother: 39
  • then: daughter: 26, mother: 52

Step-by-step explanation:

If the daughter's age is 1/3 the mother's age, the difference in their ages is ...

  1-1/3 = 2/3

the mother's age. The daughter's age is half that (1/3 the mother's age), so the daughter's age is 26/2 = 13 years. The mother's age is 13+26 = 39 years, which is 3 times the daughter's age.

The daughter is 13 now; the mother is 39.

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When the mother is twice as old, the daughter's age will be equal to their age difference: 26. The mother's age will be 26 +26 = 52

When the mother is twice as old, she will be 52, and the daughter will be 26.

_____

<em>Additional comment</em>

You can assign variables and write equations that will give you the same result. If you let d and m represent the daughter's age and the mother's age, respectively, you could write the system ...

  m = d +26

  d = m/3

Substituting for d, you get ...

  m = m/3 +26

  2/3m = 26 . . . . . . subtract m/3

Note that this is the relationship we came to in the discussion above.

__

When an age difference is given, you know it will remain the same throughout the problem. Everybody ages at the same rate, so the difference is constant. As we have done above, it is often useful to compare the age difference to the difference in ratio units. This tells you the size of a ratio unit.

3 0
2 years ago
A stick 1 meter long casts a shadow 0.6 meters long. A building casts a shadow 17 long. How tall is the building (to 2 decimal p
Masteriza [31]
28.333333333. If you do a proportion and place it 1/(?) times .6/(17) you should multiply 17 by 1 (17*1) which should equal 17. You now have to divide it so 17 divided by .6 (17/6) which equals to 28.333333.

4 0
3 years ago
Read 2 more answers
Chemists use pH as a measure of acidity or alkalinity of a solution. It uses the concentration of hydrogen ions H+ in a logarith
SpyIntel [72]

Answer:

g(f(d)) = -dlog_{10}(0.5 * 10^{-4})

Step-by-step explanation:

Given

f(d) = (0.5 * 10^{-4})^d

g(H+) = -log_{10}(H+)

Required

Find the composite function g(f(d))

We have:

g(H+) = -log_{10}(H+)

Substitute f(d) for H+

g(f(d)) = -log_{10}(f(d))

Substitute f(d) = (0.5 * 10^{-4})^d

g(f(d)) = -log_{10}((0.5 * 10^{-4})^d)

Apply law of logarithm

g(f(d)) = -dlog_{10}(0.5 * 10^{-4})

Hence, the function is:

g(f(d)) = -dlog_{10}(0.5 * 10^{-4})

7 0
2 years ago
Read 2 more answers
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