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Katyanochek1 [597]
3 years ago
9

What is (x − 3)(x − 5) = 35

Mathematics
1 answer:
JulijaS [17]3 years ago
6 0

Answer:

x=10  x=-2

Step-by-step explanation:

(x − 3)(x − 5) = 35

FOIL

x^2 -5x-3x+15 = 35

Combine like terms

x^2 -8x+15 = 35

Subtract 35 from each side

x^2 -8x+15-35 = 35-35

x^2 -8x-20 =0

Factor

What 2 numbers multiply to -20 and add to -8

-10*2 = -20

-10 +2 = -8

(x-10)(x+2) =0

Using the zero product property

x-10 =0  x+2 = 0

x=10  x=-2

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True or false? If you took a true if then statement and inserted a knot in each closet, the new statement would also be true.
Firlakuza [10]
Answer: FALSE

Actually, the answer to this question depends on whether the clause is reversed or not.

Since we are not told whether the the clause is reversed or not. It is safe to assume that it was retained (i.e. not reversed). So the answer to this question is FALSE because if one takes a true "if-then" statement, inserted a 'not' in each clause, and retained the clauses, the new statement would NOT be true.

On the contrary, if the clause is reversed, the answer would be TRUE, because if one takes a true "if-then" statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true.
6 0
3 years ago
Help please ASAP
Olenka [21]
A square is always a rhombus is the only correct answer.
8 0
3 years ago
Suppose the Bainters purchase the $150,000.00 home with a 20% down payment, a 30-year mortgage, and an interest rate of 4.2%. An
Elden [556K]

Answer:

  $809.32

Step-by-step explanation:

The loan amount is 80% of $150,000, or $120,000. The monthly payment of principal and interest is $586.82.

The total annual expense for taxes and insurance is $1920 +750 = $2670, so the monthly expense is $2670/12 = $222.50.

Then the total of payments for mortgage and escrow will be ...

  $586.82 +222.50 = $809.32

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The monthly P&I payment is given by ...

  A = P(i/12)/(1 -(1 +i/12)^(-12t)) . . . . . where i is the annual interest rate, t is the number of years, and P is the amount financed.

  A = $120,000(0.042/12)/(1 -(1 +0.042/12)^(-12·30)) ≈ $586.82

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A spreadsheet or financial calculator can be useful for calculating payments, though the formula isn't difficult to use.

7 0
3 years ago
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castortr0y [4]

9514 1404 393

Answer:

  • 3 big bucks
  • 6 little bucks
  • 17 does

Step-by-step explanation:

Let B, L, D represent the numbers of big bucks, little bucks, and does, respectively.

  B + L + D = 26 . . . . . . total bagged

  D = 5 + 2L . . . . . . . . . 5 more does than twice the number of little bucks

  B = L/2 . . . . . . . . . . . . half as many big bucks as little bucks

__

We can substitute for B and D in the first equation:

  L/2 + L + (5 +2L) = 26

  7/2L = 21 . . . . . . . . . . . . . subtract 5, collect terms

  L = 6 . . . . . . . . . . . . . . . . . multiply by 2/7

  D = 5 + 2·6 = 17

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The party bagged 3 big bucks, 6 little bucks and 17 does.

3 0
3 years ago
1) x² 2(x+y) - y^2 <br>2) x^4+ x^2y^2+ y^4​
spin [16.1K]

Answer: 1) Let's simplify step-by-step.

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Distribute:

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Answer:

=x23+x22y−y2

2)Let's simplify step-by-step.

x4+x2y2+y4

There are no like terms.

Answer:

=x4+x2y2+y4

5 0
3 years ago
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