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2 years ago

What are the solutions to the equation f(x)= g(x)?

Mathematics

1 answer:

PIT_PIT [208]2 years ago

8 0

Answer:

2 solutions

Step-by-step explanation:

We are given the equations of f(x) and g(x).

To find f(x) = g(x), we just let those two equations equal each other

$x^{2} -4x+5=x+1$

Group all like terms,

$x^{2} -3x+4=0$

Factorise,

$(x-4)(x+1)=0$

$x=4, x=-1$

Therefore, there are two solutions

Hope this helped!!

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Simplify the expression: w2 + 7w2 + 8w - 5 + 9 - 2w2

ololo11 [35]

<h3> $6w^2 +8w +4$ is the simplified expression</h3>

<em><u>Solution:</u></em>

Given that,

We have to simplify

$w^2 + 7w^2 + 8w -5+9-2w^2$

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable with same exponent and same or different coefficient

From given,

$w^2 + 7w^2 + 8w -5+9-2w^2$

Group the like terms

$w^2 + 7w^2 -2w^2 + 8w - 5+9\\\\Combine\ the\ like\ terms\\\\6w^2 +8w -5+9\\\\Combine\ the\ constants\\\\6w^2 +8w +4$

Thus the given expression is simplified

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2 years ago

Find the coordinates of the midpoint of a segment with the given

galben [10]

Answer:

(9,5.5)

Step-by-step explanation:

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2 years ago

Communicate Mathematical Ideas Find the area of the figure. Explain how you found your answer. 10 ft 16 ft 12 ft 18 ft

sveta [45]

<h3>Answer: 300 square feet</h3>

Explanation:

The trapezoid has area of

A = h*(b1+b2)/2

A = 6*(10+18)/2

A = 84

The rectangle is 18 ft by 12 ft, which leads to an area of 18*12 = 216 sq ft.

Adding the two sub-areas gets us: 84+216 = 300

The total area of the house-shaped figure is 300 sq ft.

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2 years ago

Musa invest R1000 on a simple interest at a rate of 8% per annum for 3 years.How much money will be in his account by the end of

Serjik [45]

Answer:

Step-by-step explanation:

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2 years ago

The area of a compact disc is 452 4/7 square centimeters. What is the diameter of a compact disc ? Use 22/7 as an approximation

motikmotik

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6 0

3 years ago