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Sonja [21]
3 years ago
11

Factor. Z^2+ 8z – 20

Mathematics
1 answer:
zimovet [89]3 years ago
8 0
Step by Step:

(z^2 -2z)(10z-20)

z(z-2)+10(z-2)

(z+10)(z-2)

Hope this helps.
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Please help!! Math | 25 points :)
arlik [135]

Values of the composite function:

(g\cdot f)(-1)=6

(g\cdot f)(0)=7

(f\cdot g)(-1)=3

(f\cdot g)(4)=2

Step-by-step explanation:

Given two functions f(x) and g(x), their composite function is given by

(f\cdot g)(x) = f(g(x))

Which means using the output value of g(x) as input for f(x).

Let's start by computing

(g\cdot f)(-1)

First, we compute the value of f(-1), which is (from the graph)

f(-1) = 1

Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:

(g\cdot f)(-1)=6

Now we evaluate

(g\cdot f)(0)

First, we compute the value of f(0), which is (from the graph)

f(0) = 0

Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:

(g\cdot f)(0)=7

Now we evaluate

(f\cdot g)(-1)

First, we compute the value of g(-1), which is (from the graph)

g(-1) = 5

Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:

(f\cdot g)(-1)=3

Finally we evaluate

(f\cdot g)(4)

First, we compute the value of g(4), which is (from the graph)

g(4) = 4

Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:

(f\cdot g)(4)=2

Learn more about composite functions:

brainly.com/question/2723982

brainly.com/question/2456302

brainly.com/question/1949601

brainly.com/question/1900154

#LearnwithBrainly

6 0
3 years ago
Find the value of x in each of the given figures.
Kaylis [27]

Answer:

Step-by-step explanation:

1) Given figure is a parallelogram

Area = 144 cm²

base  * altitude = 144

16 * x = 144

x =144/16

x = 9 cm

2)2) Trapezium

Area = \frac{a+b}{2}*h      ; {a and b are parallel sides of trapezium}

( 37 +27 /2) * x  = 480 cm²

64/2 * h = 480

32 *  h = 480

h = 480/32

h = 15 cm

8 0
3 years ago
Suppose that an experiment is repeated four times. A certain event has probability 1/10 in a single repetition of the
frez [133]

Answer:

2/5

Step-by-step explanation:

1/10 times 4

4/10 equals to 2/5

5 0
3 years ago
(4,7,12,19) How do you right this in recursive and explicit equations??????? pls help
Soloha48 [4]

You can see how the difference between two consecutive terms is constantly increasing:

a_1 = 4

a_2 = 7 = 4+3

a_3 = 12 = 7+5

a_4 = 19 = 12+7

So, for the next terms we'll have to add +9, +11, +13 and so on.

Also, note that a_2 is obtained by adding the 2nd odd number to a_1, a_3 is obtained by adding the 3rd odd number to a_2, and so on.

So, the recursive formula is

a_n = a_{n-1}+(2n-1),\quad a_1=1

For the explicit formula, recall that the sum of the first n odd numbers is n squared. Taking into account the fact that we're not starting from 1, we have

a_n = n^2+3

7 0
3 years ago
The Chen family sold its house through a real estate agent for $330,000. If the real estate agent gets a 4.5% commission, how mu
Galina-37 [17]

Answer:

Step-by-step explanation:

1.first 330,000 divided by 100 wich Is 3300 then multiply that by 4 wich is 13,200

2. then 330,000 divided by 1000 wich is 330 multiply that by 5 wich is 1,650

3. Add  1,650 + 13,200 + 330,000 wich is 344,850.00 so a

8 0
3 years ago
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