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3 years ago

X^2-3x-18 in simplest form

Mathematics

1 answer:

Kay [80]3 years ago

4 0

$= x ^{2} - 3x - 18 \\ =x ^{2} - (6 - 3)x - 18 \\ = x ^{2} - 6x + 3x - 18 \\ = x(x - 6) + 3(x - 6) \\ = (x - 6)(x + 3)$

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What is the number of square units in the area of the triangle is vertices are points A ( 2,0), B( 6,0) and C (8,5)

lakkis [162]

From points (2, 0) and (6, 0), you can get base = 6 - 2 = 4.

From point (8, 5), you get a height of length 5.

A = bh/2 = 4 * 5/2 = 10

Area = 10 square units

3 0

3 years ago

Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 79.

xxMikexx [17]

<u>Answer:</u>

Price of the adult's ticket = $13

Price of a child's ticket = $ 10

<u>Step-by-step explanation:</u>

Given:

Cost of train fares for Three adults and four children = $79

Cost of train fares Two adults and three children = $ 56

To Find:

Price of the adult's ticket and the price of a child's ticket =?

Solution:

Let the cost of one adult's ticket be x and

Let the cost of one child's ticket be y

Then

Three adults and four children must pay $ 79 be

3x + 4y = 79-----------------------------------------------(1)

Two adults and three children must pay $56

2x + 3y = 56----------------------------------------------(2)

multiply eq(1) by 2, we get

6x + 8y = 158----------------------(3)

multiply eq(2) by 3, we get

6x + 9y = 168----------------------(4)

Subracting (3) from (4)

6x + 9y = 168

6x + 8y = 158

(-) (-) (-)

------------------------------

0x + y = 10

------------------------------

y=10

Now substitute the value of y in eq (1) to get the value of x

3x + 4(10)= 79

3x + 40 = 79

3x = 79 - 40

3x = 39

x = $\frac{39}{3}$

x= 13

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3 years ago

The coordinates of the vertices of triangle ABC are A(−3,3), B(−1,1), and C(−3,−2). The coordinates of the vertices of the image

Annette [7]

I believe your answer will be reflection

hope this helps

5 0

3 years ago

Read 2 more answers

Let f(x) = x^3-3x^2+2 and g(x) = x^2 -6x+11 Enter the value of x such that f(x)=g(x)

Licemer1 [7]

The value of x such that f(x) = g(x) is x = 3

<h3>Quadratic equation</h3>

Given the following expressions as shown

f(x) = x^3-3x^2+2 and;

g(x) = x^2 -6x+11

Equate the expressions

x^3-3x^2+2 = x^2 -6x+11

Equate to zero

x^3-3x^2-x^2+2-11 = 0

x^3-3x^2-x^2 + 6x - 9 = 0

x^3-4x^2+6x-9 = 0

Factorize

On factorizing the value of x = 3

Hence the value of x such that f(x) = g(x) is x = 3

Learn more on polynomial here: brainly.com/question/2833285

#SPJ1

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2 years ago

a bicycle advertised all mountain bike priced at 1/3 discount what is the sales price if the original price is 327

AnnZ [28]

The discount sales price would be $218

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3 years ago