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3 years ago

1. Wesley pound of nails for a When he the project he had pound 01 nails left. How many pounds of mm did he

Mathematics

1 answer:

musickatia [10]3 years ago

5 0

Wesley used 3/4 pounds of nails

1/2=2/4
4/4-1/4=3/4

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(x-1)(x-3)(x+5)(x+7)=297

mihalych1998 [28]

First simplify the expression into polynomial form,

$(x-1)(x-3)(x+5)(x+7)=297$

$x^4+8x^3-10x^2-104x+105=297$

$x^4+8x^3-10x^2-104x-192=0$

Now factor into,

$(x-4)(x+8)(x^2+4x+6)=0$

Which means the solutions are,

$x-4=0\implies\boxed{x_1=4}$

$x+8=0\implies\boxed{x_2=-8}$

and then two complex solutions because determinant of the third factor $D\lt0$ ,

$x^2+4x+6=0$

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

$(x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}$

Hope this helps :)

5 0

3 years ago

Read 2 more answers

What are reasons A,B,and C in the proof?

Vlad [161]

Answer:

Option D is correct.

Explanation:

Commutative Property of Multiplication define that two numbers can be multiplied in any order.

i.e $a\times b =b \times a$

Distributive property of multiplication states that when a number is multiplied by the sum of two numbers i.e, the first number can be distributed to both of those numbers and multiplied by each of them separately.

$a \times (b+c) = a\times b+ a\times c$

Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.

Given:

A = $( 4\times 3) + (2 \times 4 )= ( 4\times 3) + (4 \times 2 )$

B = $4 \times ( 3+2)$

C = $4 \times 5$

then;

$( 4\times 3) + (2 \times 4 )$

Using Commutative property of Multiplication we can write $2 \times 4 = 4 \times 2$ then we have;

$( 4\times 3) + (2 \times 4 ) = ( 4\times 3) + (4 \times 2 )$

Using Distributive property of multiplication;

$( 4\times 3) + (4 \times 2 ) = 4 \times ( 3+2)$

by using associative property of multiplication ,

$4 \times (3+2) = 4 \times 5$

Therefore, the reasons for A , B and C in this proof are;

A.commutative property of multiplication

B. distributive property

C. associative property of multiplication

6 0

4 years ago

How many solutions does the equation below have.<br> *The answer choices are below*

Natali [406]

<h3>Answer: D) One solution</h3>

==========================================

Work Shown:

2(b+3)-17 = 3b-7+b

2b+6-17 = 4b-7

2b-11 = 4b-7

-11+7 = 4b-2b

-4 = 2b

2b = -4

b = -4/2

b = -2

There is one solution and it is b = -2

A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.

5 0

3 years ago

Read 2 more answers

The sum of x and 3/5 is 5/7

lord [1]

x = 5/7 - 3/5 = 25/35 - 21/35 = 4/35

3 0

3 years ago

A county manager used a representative sample of two populations in the county to determine the number of pounds of trash thrown

taurus [48]

Answer:

its B