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3 years ago

What are the possible values for b, if x2 + bx – 9 is factorable?

Mathematics

1 answer:

Elanso [62]3 years ago

8 0

Answer:

Simplifying

x2 + bx + 9 = 0

Reorder the terms:

9 + bx + x2 = 0

Solving

9 + bx + x2 = 0

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + bx + -9 + x2 = 0 + -9

Reorder the terms:

9 + -9 + bx + x2 = 0 + -9

Combine like terms: 9 + -9 = 0

0 + bx + x2 = 0 + -9

bx + x2 = 0 + -9

Combine like terms: 0 + -9 = -9

bx + x2 = -9

Add '-1x2' to each side of the equation.

bx + x2 + -1x2 = -9 + -1x2

Combine like terms: x2 + -1x2 = 0

bx + 0 = -9 + -1x2

bx = -9 + -1x2

Divide each side by 'x'.

b = -9x-1 + -1x

Simplifying

b = -9x-1 + -1x

Step-by-step explanation:

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valina [46]

Answer:

Step-by-step explanation:

l -> length

b -> width

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Find the area of four walls and ceiling. then subtract the area of four windows and a door form that area.

Area of four walls + <u>ceiling</u> = 2( lh + bh) +<u>lb</u>

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= 2( 100 + 75) + 300

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= 650 sq m

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Area of four windows = 4*6 = 24 sq.m

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3 years ago

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Write the number 5.66 × 10^8 in standard notation.

denis-greek [22]

566,000,000
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3 years ago

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Allisa [31]

Answer:

88 Inches^2

Step-by-step explanation:

Find the areas of one of the triangles and one of the rectangles, add them together, then multiply by 2.

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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

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3 years ago

What is the domain of the function h(w)=80/w

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