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yaroslaw [1]
2 years ago
13

Hello can someone help me with this factoring problem? thank you!

Mathematics
1 answer:
Alex2 years ago
8 0
I think this is correct

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Write the equation of the line in standard form of the line that passes through (-3, 9) and has a slope of 3.
jeyben [28]

Answer:ez just divise all

Step-by-step explanation:

4 0
2 years ago
Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

f(x) = a\, (x - (-3))\, (x - 5).

Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

f(x) = a\, (x^{2} - 2\, x - 15).

(Quadratic functions are polynomials of degree two. If this function has any factor other than (x - (-3)) and (x - 5), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

6 0
2 years ago
ABCD is a rectangle. What is the value of x?
ankoles [38]

Answer:

B

Step-by-step explanation:

Use the pythagorean theorem

a² + b² = c²

a² + 63² = 65²

a² + 3969 = 4225

a² = 256

a = 16

x = 16 meters

7 0
3 years ago
Read 2 more answers
Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Fi
Shtirlitz [24]

Answer:

Area = 49\frac{25}{36}

Step-by-step explanation:

Given

Tile

Length = 4\frac{5}{6}

Width = 2\frac{1}{3}

See attachment for dimension of the floor

Required

Determine the area covered by the carpet

From the attachment, the dimension of the floor is:

Length = 12\frac{1}{4}

Width = 5

Calculate Area

Area = Length * Width

Area = 12\frac{1}{4} * 5

Area = 61\frac{1}{4}

The area of the tiles is:

Area = 4\frac{5}{6} * 2\frac{1}{3}

Area = \frac{29}{6} * \frac{7}{3}

Area = \frac{203}{18}

Area = 11\frac{5}{18}

So, the carpet area is:

Area = Floor\ Area - Tile\ Area

Area = 61\frac{1}{4} - 11\frac{5}{18}

To improper number

Area = \frac{245}{4} - \frac{208}{18}

Take LCM

Area = \frac{2205 - 416}{36}

Area = \frac{1789}{36}

Area = 49\frac{25}{36}

7 0
3 years ago
Question 1(Multiple Choice Worth 3 points)
frez [133]

Answer: D) 99 Points

Step-by-step explanation: Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests

Therefore the totals points are 351

351 is her total score for 4 tests, if she gets an average score of 90 on her fifth test then all we have to do is:

5 x 90 = 450 (The 5 being her fifth test)

450-351 = 99

Option D

3 0
3 years ago
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