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Sholpan [36]
3 years ago
7

Enter the value of w so the expression -5 +0.6W is equivalent to w (2.5 – 0.3w)​

Mathematics
1 answer:
NeX [460]3 years ago
8 0

9514 1404 393

Answer:

  w = -2 or 8 1/3

Step-by-step explanation:

Setting the two expressions equal makes a quadratic equation:

  -5 +0.6w = w(2.5 -0.3w)

  0.3w^2 -1.9w -5 = 0 . . . . . . subtract the right-side expression

  3w^2 -19s -50 = 0 . . . . . . . multiply by 10 to give integer coefficients

  (3w -25)(w +2) = 0 . . . . . . . factor

We can use the zero product rule to find the solutions. The product will be zero only if a factor is zero.

  3w -25 = 0   ⇒   w = 25/3 = 8 1/3

  w +2 = 0   ⇒   w = -2

The values of w that make the two expressions equivalent are -2 and 8 1/3.

You might be interested in
3a² + 11a – 42<br><br>this is factoring in algebra 2 (high school) <br>​
N76 [4]

To factor,

<h2>[[[</h2>

1) First multiply coefficient of a² and constant no,

That is,

3×(-42)=-126

Since the<u> resultant no is negative</u>, you should find two such factors of 126 <u>which</u> <u>will give us the coefficient of a (=11)</u> on subracting those factors.

2) Find the factor

126=2×3×3×7

=18×7

18 and 17 are factors of 126

Also,18-7 =11.

So they are required factors for factoring,

<h2>]]]</h2>

Once you have understood above steps you can solve on your own. All you need to do is split 11 into factors ,take common terms and you will get answer.

<u>Answer:</u>

3a²+11a-42

=3a²+(18-7)a -42

=3a²+18a-7a-42

=3a(a+6) -7(a+6)

=(a+6)(3a-7)

3 0
3 years ago
Grace started her own landscaping business. She charges $6 an hour for mowing lawns and $11 per hour for pulling weeds. In Septe
valkas [14]

Answer:

$477

Step-by-step explanation:

63 hours x $6 = $378

9 hours x $11 = $99

378+99= $477

3 0
3 years ago
How many solutions does y=2x+1 and x=-3 have
Nikolay [14]

Answer:

- 5

Step-by-step explanation:

given,

the relation is y=2x+1

if x=-3 than, y =2x+1

=2 * (-3)+1

= -6+1

-5

hence, the required answer is - 5

I found any one solution of given question.

7 0
3 years ago
A car moving at a constant speed passed a timing device at t=0. After 9 ​seconds, the car has traveled 837 ft. Write a linear fu
diamong [38]

Answer:

at t=0 the car has moved 0 feet, also you know it has a constant speed so you get the points:

P1:(0,0) therefore you know b, the y-intercept=0

P2:(8,840)

insert P2 into y=mx+b

840=8m+0

840/8=m

105=m

so the result is:

y=105x=105t=f(t)=d

Step-by-step explanation:

7 0
3 years ago
I need help on this
Mariana [72]

Isolate the w

w/3 = 5

Note the equal sign. What you do to one side, you do to the other.

Multiply 3 to both sides

w/3(3) = 5(3)

w = 5(3)

Multiply

w = 15

15 is your answer for w

hope this helps

5 0
3 years ago
Read 2 more answers
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