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mina [271]
3 years ago
7

Use the graph of f(x) to evaluate the following:

Mathematics
1 answer:
EastWind [94]3 years ago
4 0

Answer:

\large\boxed{-\dfrac{5}{4}}

Step-by-step explanation:

\text{The average rate of change of function}\ f(x)\\\text{over the interval}\ a\leq x\leq b\ \text{is given by this expression:}\\\dfrac{f(b)-f(a)}{b-a}.\\\\\text{Read from graph the values of function for}\ x=0\ \text{and}\ x=4.\\(look\ at\ the\ picture)\\\\f(0)=5,\ f(4)=0\\\\\text{Substitute:}\\\\\dfrac{f(4)-f(0)}{4-0}=\dfrac{0-5}{4}=-\dfrac{5}{4}

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Solve similar triangles (advanced)<br> solve for x
dolphi86 [110]

Answer:

x = 27/8

Step-by-step explanation:

We can write a ratio to solve

x               3

------- = ----------

x+9           11

Using cross products

x*11 = 3(x+9)

11x = 3x+27

Subtract 3x from each side

8x = 27

8x/8 = 27/8

x = 27/8

3 0
3 years ago
7.64=7+ blank +4/100
mash [69]

Answer:

6/10 or 60/100

Step-by-step explanation:

4/100=0.04 So if you add that to 7 you would have 7.04 and 7.64-7.04 is 0.6 which is 6/10 or 60/100 in fraction form.

5 0
3 years ago
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store th
eduard

Answer:

51

Step-by-step explanation:

Well we first need to find the volume of the soup in the pot using the following formula,

πr^2h

15*15 = 225

225 * 25 = 5625

5625 * pi = <u>17671.46</u>

Now we need to find the volume of the ice cube using the formula,

l*w*h

7*7*7 = <u>343</u>

Now we do 17671.46 ÷ 343 = 51.5202915452

You can have half an ice cube,

thus, Sharon can make 51 whole cubes.

<em>Hope this helps :)</em>

5 0
3 years ago
Read 2 more answers
Workers have packed 1,400 glasses in 7 boxes. If they pack 3 more boxes, how many glasses will they have packed in all?
11111nata11111 [884]

1box = 1400/7 = 200

200×3=600

1400+600=2000

8 0
3 years ago
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Solve for x. Thanks!
Vladimir79 [104]

Answer:

x = \frac{2T}{nd} - a

Step-by-step explanation:

Multiply both sides by 2 to eliminate the fraction

2T = n(a + x)d

Since n and d are both multipliers, divide both sides by nd

\frac{2T}{nd} = a + x

Isolate x by subtracting a from both sides, hence

x = \frac{2T}{nd} - a

4 0
3 years ago
Read 2 more answers
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