Solve each equation. check you solution. 14 - 2(3p + 1) = 6(4+p)

Mathematics

1 answer:

german3 years ago

4 0

Distribute:
14-6p-2=24+6p

Simplify:
12-6p=24+6p
-12=12p

Divide by 12:
P=-1

Check:
14-2(-3+1)=6(4-1)
14+4=18
18=18

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What two numbers multiply to -112 and add up to -54

SVETLANKA909090 [29]

Xy = -112
x + y = -54

$xy = -112$
$\frac{xy}{x} = \frac{-112}{x}$
$y = \frac{-112}{x}$

$x + y = -54$
$x + \frac{-112}{x} = -54$
$\frac{x^{2}}{x} + \frac{-112}{x} = -54$
$\frac{x^{2} - 112}{x} = -54$
$x^{2} - 112 = -54x$
$x^{2} + 54x - 112 = 0$
$x^{2} + 56x - 2x - 112 = 0$
$x(x) + x(56) - 2(x) - 2(56) = 0$
$x(x + 56) - 2(x + 56) = 0$
$(x - 2)(x + 56) = 0$
$x - 2 = 0$ $or$ $x + 56 = 0$
$x = 2$ $or$ $x = -56$

  x + y = -54
  2 + y = -54
- 2   - 2
y = -56
  (x, y) = (2, -56)

  or

x + y = -54
  -56 + y = -54
+ 56 + 56
y = 2
  (x, y) = (-56, 2)

The two numbers that multiply to -12 and add up to -54 are -56 and 2.

6 0

4 years ago

Read 2 more answers

Carlos harvests cassavas at a constant rate. He needs 35 minutes to harvest a total of 15 cassavas. Write an equation to describ

kkurt [141]

The relationship is c=3/7t

Step-by-step explanation:

The rate of harvesting can be calculated as;

35minutes=15 cassavas

1minute=?

15/35=3/7

For a given time t the total number of cassava harvested(c) will be ;

c=3/7t where c is the total number of cassava harvested and t is the time need to harvest.

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Rate : brainly.com/question/12293681

Keyword : Equation, relationship

#learnwithbrainly

3 0

4 years ago

Show Work to factor the binomials.

Sophie [7]

$(14)\\\\x^2 + 14x +45\\\\=x^2 +5x +9x +45\\\\=x(x+5) +9(x+5)\\\\=(x+9)(x+5)\\\\(15)\\\\x^2 +18x +45\\\\=x^2 +15x +3x +45\\\\= x(x+15) +3(x+15)\\\\=(x+3)(x+15)\\\\\\(16)\\\\x^2+46x+45\\\\=x^2 +45x +x +45\\\\=x(x+45) +(x+45)\\\\=(x+45)(x+1)$