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2 years ago

Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25. Find the tip using that method.

Mathematics

2 answers:

dezoksy [38]2 years ago

8 0

Answer:

tip would be $3.50

Step-by-step explanation:

10% + 5% = 15%

10% of 23.25 is 2.33

5% of 2.33 is 1.17

add 2.33 and 1.17 to get 3.50

9966 [12]2 years ago

4 0

Answer:

I would do the question like

10% + 5% = 15% which would equal 3.50

Hope this helped (please mark brainliest)

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Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.

Ann [662]

Given:

Consider the given function is:

$f(x)=x^2-8x+13$

To find:

The average rate of change of the function over the interval $-1\leq x\leq 6$ .

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

$m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

We have,

$f(x)=x^2-8x+13$

At $x=-1$ ,

$f(-1)=(-1)^2-8(-1)+13$

$f(-1)=1+8+13$

$f(-1)=22$

At $x=6$ ,

$f(6)=(6)^2-8(6)+13$

$f(6)=36-48+13$

$f(6)=1$

Now, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is:

$m=\dfrac{f(6)-f(-1)}{6-(-1)}$

$m=\dfrac{1-22}{7}$

$m=\dfrac{-21}{7}$

$m=-3$

Therefore, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is -3.

6 0

2 years ago

What is the equation of the line that passes through (-9,12) and is perpendicular to the line whose equation is y=1/3x 6?

tigry1 [53]

Y = 1/3x ? 6....slope here is 1/3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -3 (see how I flipped 1/3 and changed the sign)

y = mx + b
slope(m) = -3
(-9,12)...x = -9 and y = 12
now we sub and find b, the y int
12 = -3(-9) + b
12 = 27 + b
12 - 27 = b
-15 = b

so ur perpendicular equation is : y = -3x - 15

6 0

3 years ago

HIGHEST COMMON FACTOR OF 102 AND 153 NEED HELP EXPLAIN FOR AN EXTRA 10 POINTS

Lynna [10]

Answer:

The highest common factor for both 102 and 153 is

GCF- 51

Step-by-step explanation:

51*3= 153

51*2=102

6 0

3 years ago