All categories

3 years ago

Find an integer value of b that makes x^2 + bx - 81 factorable.

Mathematics

1 answer:

Kaylis [27]3 years ago

5 0

Answer:

b = 80

Step-by-step explanation:

Given that,

x² + bx - 81

To find,

value of b

What is factorable?

A polynomial equation with highest degree 2 is if factorable when

we can find two terms which when multiples = -81x², <em> ( x² * - 81 = -81x² ) </em>
and when add = bx

possible factors:

-1x * 81x = -81x² (Accepted)
1x * -81x= -81x² (rejected)
9x * -9x = -81x² (rejected)
-9x * 9x = -81x² (rejected)

Only when -1x , 81x is added -1x + 81x = 80x

so, bx = 80x

b = 80

<h3>The equation is x² + 80x - 81</h3>

You might be interested in

Write a word problem that can be solved by ordering three decimals to thousandths. Include a solution

nikklg [1K]

Then make up a word problem that you can use decimals in.

6 0

3 years ago

A polynomial function can be written as (x 1)(x 4)(x − 7). what are the x-intercepts of the graph of this function? (1, 0), (4,

IrinaVladis [17]

Easy

set to zero
those are the roots or xintersepts

(x+1)(x+4)(x-7)=0

x+1=0
x=-1

x+4=0
x=-4

x-7=0
x=7

xints are (-4,0) (-1,0) (7,0)

5 0

3 years ago

Read 2 more answers

How do you solve 4(8x+5)

alexandr1967 [171]

Answer:

32x+20

Step-by-step explanation:

4*8x+4*5=

32x+20

3 0

3 years ago

Read 2 more answers

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

If x = 9 and y = -2 what’s 10 + 5xy

Ksenya-84 [330]

Answer:

10 + 5xy = -80

Step-by-step explanation:

10 + 5xy = ?

x = 9 and y = -2

10 + 5xy = 10 + 5(9)(-2)

= 10 - 90

= -80

5 0

4 years ago