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QveST [7]
3 years ago
7

Suppose that you have three consecutive positive integers where the product of the smaller and larger number is equal to 15 more

than 6 times the middle number. Find the 3 numbers, be sure to include all possibilities.
Mathematics
1 answer:
EleoNora [17]3 years ago
3 0

Answer:

The numbers are either {-3, -2, -1} or {7, 8, 9}.

Step-by-step explanation:

Let the smallest integer be represented by x. The middle number is x+1, and the largest number is x+2.

The product of the smaller and larger number is (x)(x+2).

15 more than 6 times the middle number is 6(x+1)+15.

(x)(x+2)=6(x+1)+15

x^2+2x=6x+6+15

x^2+2x=6x+21

x^2-4x-21=0

(x-7)(x+3)=0

x=-3 or x=7

The numbers are either {-3, -2, -1} or {7, 8, 9}.

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Ronch [10]
B. 1 angle A congruent angle B
2. Corresponding parts of similar triangle
3 0
3 years ago
Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3?
FrozenT [24]
The correct answer is: <span>The graph shifts 5 units right

Explanation:
Below is the graph attached of both the equations:

Red line: 
Represents f(x) = </span><span>2x + 2.
Blue line: Represents g(x) = 2x - 3.

As you can see in the graph that g(x) is shifted 5 units right to f(x).

If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
</span>2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)

Total 5 units.

Hence the correct answer is t<span>he graph shifts 5 units right.</span>

7 0
3 years ago
Read 2 more answers
Solve.... 4n- 9= 2 (5+ 2n)
timama [110]

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

4n-9=2(5+2n)  Equation/Question

Step 2

4n-9=2(5+2n)  Remove parenthesis

4n-9=4n+10

Step 3

4n-9=4n+10  Subtract 4n to sides

-9=10

Step 4

-9=10  Add 9

0=19

Answer

No solutions

Hope this helps

3 0
3 years ago
Give the slope between the points<br> (-2,3) (-5, -9)
valentina_108 [34]
M = (-9 - 3) / (-5 - -2)
m = -12 / -3
m = 4

The slope is 4.
4 0
3 years ago
Read 2 more answers
Zene deposited $50 in a savings account earning 5% interest, compounded annually. To thenearest cent, how much will he have in 3
JulsSmile [24]

Answer:

\$57.88  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3\ years\\ P=\$50\\ r=5\%=5/100=0.05\\n=1  

substitute in the formula above

A=50(1+\frac{0.05}{1})^{1*3}  

A=50(1.05)^{3}  

A=\$57.88  

6 0
3 years ago
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