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3 years ago

When fractions share the same number on the bottom what is it called?

Mathematics

2 answers:

monitta3 years ago

5 0

That means they have a common denominator. Hope this helps!

Tpy6a [65]3 years ago

3 0

Step-by-step explanation: When fractions have the same bottom number, they're called like fractions. When adding and subtracting fractions, our goal is to get like fractions or fractions that have the same denominator.

Also, it's easy to compare like fractions because you just have to look at the numerators of each of the fractions you are givemn.

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago

Please help me!!!! You only have to answer number 1!!!

mrs_skeptik [129]

Given : A social media website has currently = 1,000 members.

In each month number of members gets triple.

To find: Equation that represents number of members m belongs to site.

Solution: Because we are given, each month the number of members gets triple, that means each month we can multiply by 3 to the number of members of previous month.

For first month, we would multiply 1,000 by 3.

For second month, we would multiply 1,000 by 3 *3.

For second month, we would multiply 1,000 by 3*3*3.

Each month one factor of 3 is being increasing.

We could write those 3's as exponents of 3.

Like $1000*3 = 1000*3^1$

$1000 * 3^2.$

$1000 * 3^3.$

As many months as many 3's are there.

So, the exponent of 3 is represnts the number of months.

Let us take a variable for number of month by n.

So, we could setup an equation for number of members m belongs to site on a particular month n as

$m= 1000 (3)^n$

This is our final equation.

7 0

3 years ago

Need help it seems so simple but i dont know what it is

wel

3,5 ?
Hope this helps!

4 0

3 years ago

Read 2 more answers

A math teacher gets a starting salary of $30,000. IF she gets a 1.5% increase in salary each year, what will her total income be

kolezko [41]

No it is not base e. It is 1.015.

An increase of 1.5 % = 1.015

Year     1,   2,   3,.........................., 30.
   30000, 3000(1.015), 30000(1.015)²,........... 30000(1.015)²⁹

Her Total Income is sum over the thirty 30 year period:

Sn = a(r^n - 1) / (r - 1); a = 30000, r = 1.015, n = 30

Sn = 30000 ( 1.015^30 - 1) / (1.015 - 1)

      = 30000 (1.56308022 - 1) / (0.015) = 1126160.44

Total = $ 1 126 160.44

5 0

3 years ago

Museum passes cost $5 for adults and $2 for children. One day the museum sold 1820 passes for profit of $6106. How many of each

Mariulka [41]

1,500 children, and 320 adults

2X + 9100 - 5X = 6100
x = 1500 (children passes sold)

1820-1500 = 320 (adult)

Mark brainliest please

4 0

3 years ago