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Alchen [17]
3 years ago
13

The tip for a restaurant bill is $9.20. What is the tip for a 21.50 meal?

Mathematics
1 answer:
nlexa [21]3 years ago
8 0
The amount of the tip is 12%
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Solve the following equation simultaneously 2a-3b+10=0, 10a+6b=8​
tia_tia [17]

2a -3b +10 =0\\\\10a+ 6b -8 =0\\\\\text{Using cross multiplication method}\\\\\\ \dfrac a{(-3)(-8)  - 6(10)} = \dfrac b{10(10) - 2(-8)} = \dfrac 1{ 2(6) - (-3)(10)}\\\\\\\implies  \dfrac a{24-60} = \dfrac b{100+16} = \dfrac 1{12+30}\\\\\\\\\implies -\dfrac {a}{36} = \dfrac b{116} = \dfrac 1{42}\\\\\\\text{Hence}\\\\a = - \dfrac{36}{42} = -\dfrac 67 \\\\\\ b= \dfrac{116}{42} = \dfrac{58}{21}

3 0
2 years ago
Write the slope-intercept form of the equation of each line
Mars2501 [29]

Answer: b

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Why does a logarithmic equation sometimes have an extraneous solution?
jonny [76]

The main reason behind this is using properties of logarithm .

like

when solving

  • log_2(x+2)+log_2(x-3)=3

There you use multiplication property and make addition to multiplication then you get extraneous solution because in plenty of cases they occur

like

  • (-2)²=(2)²

But

  • -2≠2

Same happens in case of logarithm

6 0
2 years ago
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Video Example EXAMPLE 1 Find the linearization of the function f(x) = x + 1 at a = 3 and use it to approximate the numbers 3.98
Blizzard [7]

Answer:

  the linearization is y = 1/4x +5/4

  the linearization will produce <em>overestimates</em>

  the values computed from this linearization are ...

     f(3.98) ≈ 2.245

     f(4.05) ≈ 2.2625

Step-by-step explanation:

Apparently, you have ...

  f(x)=\sqrt{x+1}

from which you have correctly determined that ...

  f'(x)=\dfrac{1}{2\sqrt{x+1}}

so that f(3) = 2 and f'(3) = 1/4. Putting these values into the point-slope form of the equation of a line, we get the linearization ...

  g(x) = (1/4)(x -3) +2

  g(x) = (1/4)x +5/4

__

The values from this linearization will be overestimates, as the curve f(x) is concave downward everywhere. The tangent (linearization) is necessarily above the curve everywhere.

__

At the given values, we find ...

  g(3.98) = 2.245

  g(4.05) = 2.2625

4 0
3 years ago
What is the value of x if x over 5=3
Zolol [24]

Answer:

x = 15

Step-by-step explanation:

the easiest way to do this is 5 times 3 and with that we get 15 :)

Have an amazing day!!

Please rate and mark brainliest!!

3 0
2 years ago
Read 2 more answers
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