1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
avanturin [10]
2 years ago
7

Find three consecutive integers such that the product of the first and third is 5 greater than 5 times the second.

Mathematics
1 answer:
ivolga24 [154]2 years ago
6 0

Answer:

Step-by-step explanation:

3 consecutive integers....

1st integer = x

2nd integer = x + 1

3rd integer = x + 2

the product of 1st and 3rd is 5 greater then 5 times the 2nd...

x(x+2) = 5(x + 1) + 5

x^2 + 2x = 5x + 5 + 5

x^2 + 2x = 5x + 10

x^2 + 2x - 5x - 10 = 0

x^2 - 3x - 10 = 0

(x - 5)(x + 2) = 0

x - 5 = 0             x + 2 = 0

x = 5                   x = -2

so it will be : 5,6,and 7     or -2,-1, and 0

You might be interested in
<img src="https://tex.z-dn.net/?f=%20%28-5g%5E%7B5%7Dh%5E%7B6%7D%29%5E%7B2%7D%28g%5E%7B4%7Dh%5E%7B2%7D%29%5E4%20%20%20%20%20" id
Elenna [48]
I dont understand this
3 0
2 years ago
In a board game, students draw a number do not replace it, and then draw a second number. Determine the probability of each even
murzikaleks [220]

The figure depicting the board game is attached below.

Answer:

Step-by-step explanation:

Kindly note that selections done without replacement.

Count of numbers on the board game = 8

Count of odd numbers = (1, 9, 1) = 3

Count of digit 6 = 3

Probability = required outcome / Total possible outcomes

P(picking an odd number) = 3 / 8

Without replacement

Numbers left on board game = 8 - 1 = 7

P(picking a 6) = 3 / 7

Hence,

P(picking an odd number then, a 6) = 3/8 * 3/7 = 9 / 56

7 0
2 years ago
Write and solve equation.<br> What is 16% of 80?
PolarNik [594]
Question: What is 16% of 80?

You have to change the percentage to a decimal.

Remove the percentage sign and divide by 100 (% are based off 100)

16%⇒.16 

Now multiply .16 and 80

.16 * 80=12.8

Answer: 12.8
5 0
3 years ago
Describe the behavior of the graph at the x-intercepts for the function f(x)=(2x-7)^7(x+3)^4. Identify each x-intercept and just
Shkiper50 [21]

Answer:

f(x)=(2x-7)^7(x+3)^4

When y=0, (2x-7)^7=0 and x=3.5 OR

(x+3)^4=0, and x=-3

Look at x=h or f(2)

That is 96-56-44+2 and it is not equal to 0. (x-2) is not a factor.

x^3-5x^2+6x-30

after trying 1,2, and 3, I tried 5

5/1===-5===6===-30

==1===0====6====30

(x^2-6) with no remainder

the factors are (x-5)(x^2+6)

the zeroes are 5, +/- i sqrt (6). Only one real 0.

hope this helps let me know in the comments if i'm wrong

7 0
2 years ago
Read 2 more answers
How many solutions are there to the equation below 6×+30+4×=10(×+3)
Elena-2011 [213]

Answer:

Infinite many solutions. Any x-value can satisfy the equation.

Step-by-step explanation:

Let's work on simplifying the equation a little to investigate which x-values satisfy it. Start by combining like terms on the left side (6x +4x=10x),

then distribute the factor "10" into the binomial (x+10), obtaining 10x +30.

Now we have the same expression on the left and the right of the equal sign:

10x +30=10x+30. We may subtract 30 from both sides, and obtain 10x=10x, and at this point divide by 10 both sides, and we obtain: x=x

The process is shown below.

6x+30+4x=10(x+3)\\6x+4x+30=10x+30\\10x+30=10x+30\\10x=10x\\x=x

x=x is an equation that is verified by absolutely ANY x value on the number line, and there are infinite x-values in the number line.

Therefore there are infinite many solutions to this equation (any x-value will satisfy it).

7 0
3 years ago
Other questions:
  • use the power-reducing formulas to rewrite the expression in terms of the first power of the cosine . . sin^6 x
    7·1 answer
  • What is n? m=5n - 3 m=3n + 7
    5·1 answer
  • PLS HELP ME WITH MY GEOMETRY
    5·1 answer
  • If f(6) if f(x)=x^2 / 3 + x
    15·2 answers
  • It costs a clothing company $463.45 to make 169 T-shirts.
    5·1 answer
  • Help me please!! <br> 15 points!
    13·1 answer
  • Somebody help with this thanks
    7·1 answer
  • 10 mL = ____________ L ( 1L = 1000 ml
    15·1 answer
  • Arrange the steps from start to finish to factor this expression using the grouping method x^2-5x-24 drag the tiles to the corre
    9·1 answer
  • Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!