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hoa [83]
3 years ago
9

The function f(x) = g(x), where f(x) = 2x – 5 and g(x) = x2 – 6.

Mathematics
1 answer:
den301095 [7]3 years ago
5 0

Answer:

x=2.4

Step-by-step explanation:

<u>Solving Equations Using Successive Approximations</u>

We need to find the solution to the equation

f(x)=g(x)

where

f(x)=2x-5

g(x)=x^2-6

The approximation has been already started and reached a state for x=2.5 where

f(2.5)=0

g(2.5)=2.5^2-6=0.25

The difference between the results is 0.25, we need further steps to reach a good solution (to the nearest tenth)

Let's test for x=2.4

f(2.4)=-0.2

g(2.4)=2.4^2-6=-0.24

The new difference is -0.2+0.24=0.04

It's accurate enough, thus the solution is

\boxed{x=2.4}

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Step-by-step explanation:

3x° + 60° = 360°

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3 years ago
Find a + b + c + d.
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Answer:

a + b + c + d = 230

Step-by-step explanation:

So first, I am going to write down everything that I can find out from the picture.

a + b = 115

c + d + (180 - a) + (180 - b) = 360

Now, I can use a + b = 115 to simplify c + d + (180 - a) + (180 - b) = 360.

c + d + (360 - (a + b)) = 360

c + d + (360 - 115) = 360

c + d +245 = 360

c + d = 115

Now I know that:

a + b = 115

c + d = 115

Now I can find a + b + c + d

a + b + c + d = (a + b) + (c + d) = 115 + 115 = 230

a + b + c + d = 230

8 0
3 years ago
Read 2 more answers
Find the perimeter of a pantry shelf that measures 3 yards by 5/8 yard
Lera25 [3.4K]

Answer:

7 1/4 yards or 7.25 yards

Step-by-step explanation:

3+3=6

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6+1 1/4=7 1/4 or 7.25

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3 years ago
A piece of wood is divided into three pieces in the ratio 6:8:4. The length of the longest pieces is 144cm. Calculate the length
MAXImum [283]

3.24m

the longest piece will be associated with 8 parts of the ratio.

divide 144 by 8 to find 1 part of the ration then multiply this value by 6 and 4 for the remaining parts of the ratio

\frac{144}{8} = 18 cm ← 1 part

6 parts = 6 × 18 = 108 cm

4 parts = 4 × 18 = 72 cm

length = 144 + 108 + 72 = 324 cm = 3.24m


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3 years ago
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Michelle scored a 52% on her test. The test has 25 total questions. How
KonstantinChe [14]

Answer:

13

Step-by-step explanation:

write a proportion: 25 : 100

13 - x into percent.

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cross multiply and you have your answer.

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2 years ago
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