Solve x^2 + 5x - 6 = 0

Answers

Answer 1
Answer:

Let's solve your equation step-by-step. x2+5x−6=0


Step 1: Factor left side of equation. (x−1)(x+6)=0


Step 2: Set factors equal to 0. x−1=0‌‌ or ‌x+6=0

x=1‌‌ or ‌x=6


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6(7a-10) how do I solve this

How do you solve this two step equation 6=a/4+2

Answers

First you need to subtract the 2 over to the left side:
4=a/4
Then, multiply both sides by 4 in order to get the 4 on the right to cancel out of the denominator:
16=a
Subtract 2 from both sides then multiply both sides by 4

18A person typically breathes about 8.64 x 10^3 liters of air per day. The life expectancy of
a person in the United States at birth is about 29,200 days. Estimate the total amount of
air a person born in the United States breathes over a lifetime.

Answers

Answer:

  2.53×10^8 liters

Step-by-step explanation:

  (8.65×10^3 L/da)(0.292×10^5 da) ≈ 2.53×10^8 L

Final answer:

The total amount of air a person born in the United States breathes over a lifetime is estimated to be 2.52 x 10^8 liters. This is calculated by multiplying the daily air intake (8.64 x 10^3 liters) with the average life expectancy in days (29,200 days).

Explanation:

To estimate the total amount of air a person born in the United States breathes over a lifetime, we can simply multiply the amount of air breathed daily by the expected length of life in days. Here's how it works:

  1. The given daily air intake is 8.64 x 10^3 liters.
  2. The average life expectancy is 29,200 days.
  3. We multiply these two values together to get the total lifetime air intake.

So, 8.64 x 10^3 liters/day x 29,200 days = 2.52 x 10^8 liters.

Therefore, a person born in the United States breathes an estimated 2.52 x 10^8 liters of air over a lifetime.

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How many trapezoids can you find in this grid of 12-points using four points as the vertices of a trapezoid?

Answers

Answer:

Can I see the graph?

Step-by-step explanation:

How much would you pay in move-in costs for the two-bedroom Hometown Apartment if you pay first and last month's rent, a $185 security deposit, and a 30% fee to the rental agent? Round to the nearest dollar.~2 bedroom hometown: $515 plus utilities

A. $1,515
B. $1,254
C. $866
D. $1,370
x

Answers

Rental fee: 515

515 x 2       = 1,030    1st and last month's rent
515 x 30% =    154.50    fee to rental agent
                           185      security
                        1,369.50 or 1,370 Choice D.

The total cost to be paid in move-in costs for the two-bedroom Hometown Apartment is $1370

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The total cost of moving in is given by:

Total cost = (2 * 515) + 185 + (0.3 * 515) = 1369.5

The total cost to be paid in move-in costs for the two-bedroom Hometown Apartment is $1370

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Which function has the greatest y-intercept?

Answers

Answer:

The function f(x) has the greatest y-intercept. Option 1 is correct.

Step-by-step explanation:

The first function is

f(x)=4x+5

Substitute x=0 in the given function, to find the y-intercept.

f(0)=4(0)+5=5

The y-intercept of f(x) is 5.

From the given graph it is clear that the y-intercept of g(x) is 2.

The third function is

h(x)=3\sin (2x+\pi)-2

Substitute x=0 in the given function, to find the y-intercept.

h(x)=3\sin (2(0)+\pi)-2

h(x)=3\sin (\pi)-2

h(x)=3(0)-2

h(x)=-2

The y-intercept of h(x) is -2.

5>2>-2

Therefore the function f(x) has the greatest y-intercept. Option 1 is correct.

Final answer:

The greatest y-intercept in a function refers to the function that intersects the y-axis at the highest point. We can determine this by checking the 'b' term in the equation y = mx + b.

Explanation:

To determine which function has the greatest y-intercept, you would need to examine the 'b' term in the equation y = mx + b, which represents the y-intercept. This is the point where the function intersects the y-axis. In other words, it's the y-value where the function begins. For example, within the information provided, 'ŷ-266.8863 + 0.1656x' seems to have the largest y-intercept at 266.8863.

Now consider having graphs of multiple functions; the one that intersects the y-axis at the highest point (the largest y-value) has the greatest y-intercept.

For straight lines, their slope remains the same along the line (as demonstrated in the mention of 'Figure A1 Slope and the Algebra of Straight Lines'). It's the y-intercept that determines where on the y-axis the line begins, helping us distinguish one line from another if their slopes are identical.

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A small auditorium has 10 rows of seats. There are 12 seats in the row and 16 seats in the second row the number of seats in a row continues to increase by 4 with each additional row. What is the total number of seats in the auditorium?

Answers

This problem can be solved through simple arithmetic progression

Let

a1 = the first term of the sequence

a(n) = the nth term of the sequence

n = number of terms

d = common difference

Sn = sum of all terms

 

given

a1 = 12

a2 = 16

n = 10

 

d = 16 -12 = 4

@n = 10

a(n) = a1 + (n-1)d

a(10) = 12 + (9)4

a(10) = 48 seats

 

Sn = (n/2) * (a1 + a(10))

Sn = 5* (12 + 48)

Sn = 300 seats

 

Therefore the total number of seats is 300.