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Ludmilka [50]
2 years ago
7

I NEED HELP ASAP PLEASEEEE

Mathematics
1 answer:
zhuklara [117]2 years ago
4 0

Answer:

(f-g)(x)=x^2-6x+5  dom: (-∞,∞)

(\frac{f}{g})(x)=x-7+\frac{7}{x+2} dom: (–∞,–2)u(–2,∞)

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)=(x^2-5x+7)-(x+2) *distribute the negative sign into (x+2)!

x^2-5x+7-x-2\\x^2-6x+5

a parabola (anything that begins with x^2) will have a domain of (-∞,∞) or all real numbers!!

(\frac{f}{g} )(x)= \frac{x^2-5x+7}{x+2}      use synthetic division to divide (the attached picture)

domain: Because the graph is not continuous, you have to write the domains on both sides of the asymptote which is (-∞,-2)u(-2,∞)

<u>synthetic division:</u>

1. take the divisor (x+2) and solve for x.    x= –2 this goes in the top left corner

2. write the numbers AND their signs on the top row. if there is no number and just the variable (like x^2 ) just write 1.

3. the first number gets pulled down

4. multiply -2 by 1 and subtract it from –5. (-5-2= -7)

multiply -2 by -7 and add that to the next number in the top row which is -7. (-7 + 14=7)

5. the first number in the bottom row of numbers is the first number in the answer but with one less exponent than the dividend. **write 1 as x**

6. the last number in the bottom row, if it is not 0, is a remainder. write it as that number over the divisor. in this case the remainder is 7. so write it as \frac{7}{x+2}

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Answer:

x= -4.44

Step-by-step explanation:

4 0
3 years ago
Answer this question
Lerok [7]

Answer:

x = 10

Step-by-step explanation:

3x - 5 = 2x + 5

Both triangles equal 25

Subtract 2x → You get left with x

x -5 = 5

Add five... which leaves you with↓

x = 10

Then substitute x for 10

(3 · 10) - 5

25

(2 · 10) + 5

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You know this is true because they equal each other.

I hope this could help!!

3 0
2 years ago
Give an example of when you had to prove something, and how you did it!
Marizza181 [45]

Answer:

Just practice ,know different ways of solving it ,gain experince ,be smart and skilled.

Step-by-step explanation:

if you want to prove anuthing then go with the concept accoeding to the nature of the problem and there are almost many ways to prove anything so don't waste your time on way get on to the other ways.

It may not get proved at first time so keep on doing questions and when you have gained experience you know every nature of problems and then you are skilled properly.

8 0
3 years ago
I need help factoring this polynomial please.
Mashcka [7]

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3 0
3 years ago
If the diameter of circle O is 20 and CE = 4, then determine the length of AB. Show how you arrived at your answer.
Aneli [31]

Answer:  Length of AB is 16 cm

Step-by-step explanation:

Given: Diameter of a circle is 20 cm and CE = 4 cm

Now as shown in figure AO, BO, CO are radii

\text { Radius } =\dfrac{\text {Diameter}}{2} = \dfrac{20}{2} = 10 cm

Therefore

AO=BO=CO= 10 cm

Now

OE = CO- CE  \Rightarrow OE= 10 -4 = 6 cm

Now in Δ OEB

∠OEB =90°

Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.

So we have

BO^2=BE^2+EO^2\\\\\Rightarrow 10^2= BE^2 +6^2\\\\\Rightarrow BE^2= 100-36\\\\\Rightarrow BE^2 = 64 \\\\\Rightarrow BE= 8 cm

Now as we know perpendicular to the chord from the center of a circle bisect the chord.

Therefore

AB= 2\times BE = 2\times 8=16 cm

Hence , the  length of AB is 16 cm .

8 0
3 years ago
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