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Find three positive consecutive integers such that the product of the second integer and the third integer is 72

Anastaziya [24]

Let
x---------> first positive integer
x+1------> second positive integer
x+2-----> third positive integer

we know that
(x+1)*(x+2)=72-------> x² +2x+x+2=72 -------> x² +3x-70=0

using a graph tool-------> <span>I solve the quadratic equation
</span>see the attached figure

the roots are
x1=-10
x2=7

the answer is
first positive integer is x=7
second positive integer is x+1=8
third positive integer is x+2=9

3 0

3 years ago

Read 2 more answers

Solving Exponential Equations (lacking a common base)<br> 31^d=38

Bond [772]

Answer:

d = log 38/log31

d = 1.06

Step-by-step explanation:

31 ^ d = 38

Take log of both sides since the exponential equation have different base (always)

d log 31 = log 38

d = log 38 / log 31

d = 1.58 / 1.491

d = 1.06.

We can actually check to see if this is correct.

Substituting d = 1.06

31^ 1.06 = 38.092

(You see, that's approximately correct)

Keep learning, maths is fun!

8 0

3 years ago

A store is having a sale on walnuts and chocolate chips. For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost

Jlenok [28]

Answer:

Walnuts cost $1.75, chocolate chips cost $2.75

Step-by-step explanation:

<h3>Let the costs be:</h3>

Walnuts - x
Chocolate chips - y

<h3>Set equations as per question</h3>

For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost is $37:

7x + 9y = 37

For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $17:

5x + 3y = 17

<h3>Solve the system by elimination</h3>

Multiply the second equation by 3 and subtract the first equation, solve for x:

3(5x + 3y) - (7x + 9y) = 3(17) - 37
15x + 9y - 7x - 9y = 51 - 37
8x = 14
x = 14/8
x = 1.75

Find the value of y:

7*1.75 + 9y = 37
12.25 + 9y = 37
9y = 37 - 12.25
9y = 24.75
y = 24.75/9
y = 2.75

6 0

2 years ago

For each circle equation shown below, state the coordinates of its center and the length of its radius. (a) 2 216x y (b)

gavmur [86]

Answer:

(a) center: (0, 0); radius: 4

(b) center: (8, -3); radius: 10

(c) center: (-2, -7); radius: 7

(d) center: (6, 0); radius: 1

(e) center: (0, 0); radius: 5

(f) center: (3, 8); radius: 8

Step-by-step explanation:

In the figure attached, the complete question is shown.

Equation of a circle with center (h, k) and radius r:

(x - h)² + (y - k)² = r²

8 0

3 years ago

3 number added=60 the number is 2,6,10,18,14,22,26,30,34,38

amm1812

30+26+4 or idek idek idek idek idek

7 0

3 years ago