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Pie
3 years ago
11

Factor: x2 + x - 90

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0

The factor is : (x+10)(x-9)

Step-by-step explanation:

Given,

x^{2} +x-90

To find the factors.

We apply middle term factor rule.

x^{2} +x-90

= x^{2} +(10-9)x -90 [ 90 = 10×9]

= x^{2} +10x-9x-90

= x(x+10)-9(x+10)

= (x+10)(x-9)

Hence,

The factor is : (x+10)(x-9)

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A homeowner's backyard is a rectangle with width 18 yards long and length 16 yards long. They plan to put in a square pool with
Ugo [173]

Answer:

Step-by-step explanation:

Given the dimension of the  homeowner's backyard to be width 18 yards long and length 16 yards long, the area of the rectangular backyard id expreesed as;

Area of rectangle = Length * Width

Area of the rectangular backyard = 18yards * 16yards

Area of the rectangular backyard = 288yards²

If they plan to put in a square pool with side length 5 yards long in the backyard, the area of the pool = 5yd*5yd = 25yd²

The remaining area that will contain the tiles = Area of the rectangular backyard -  area of the pool

The remaining area that will contain the tiles = 288yd² - 25yd² = 263yd²

<em>Note that we cannot determine the amount of tiles they need to buy since we are not given the dimension of each tile to use</em>. The area needed for the tiles for the rest of the backyard is therefore 263yd².

Amount of tiles needed to buy can be expressed as 263/dimension of a tile.

4 0
3 years ago
Which inequality does the graph represent?<br>1. x&gt;17<br>2.x&lt;17<br>3.x&lt;_17<br>4.x&gt;_17​
TiliK225 [7]

Answer:

1. x > 17

Step-by-step explanation:

When the point on the graph is an open circle you are going to be using < or > as an open circle means greater than or less than

Immediately we can eliminate number 3 and 4

When the line is going in the direction of the right than the inequality sign will face the variable (x)

the numbers are getting larger meaning that x is greater than the constant (17)

Hence, your answer is x > 17

Extra notes:

when the point on the graph is a closed circle ( filled in ) then you will use ≤ or ≥ as a closed circle means greater than or equal to or less than or equal to

5 0
3 years ago
Read 2 more answers
The third term in a sequence is 16.
REY [17]

Answer:

s(n) = (5n) + 1

Step-by-step explanation:

s(n) = (5n) + 1      when n = 3    s(3) = 16

term to term is 5 more than the previous term  "add 5"

7 0
3 years ago
Ariah Janson
Ivan

Answer:

Root: (8/3,0)

Step-by-step explanation:

7 0
3 years ago
Determine whether the following function is one-to-one. f ( x ) = 6 x + 1
seraphim [82]

Answer:

one to one function

Step-by-step explanation:

f(x)=6x+1 can only be a one to one function when x1=x2

Now,

f(x1)=f(x2)

or, 6x1 + 1 = 6x2 + 1

or, 6x1 = 6x2

or, x1 = x2

So f(x)= 6x + 1 is a one to one function

4 0
3 years ago
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