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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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Vinvika [58]

Answer:

Step-by-step explanation:

Set up null and alternate hypothesis

H0: p =0.05

Ha: p>0.05

(One tailed test at 5% level)

Sample size n =384

Sample proportion p = 46/384 =0.1198

p difference = 0.1198-0.05 =0.0698

Std error = $\sqrt{\frac{0.1198*0.8702}{384} } =0.0165$

Test statistic = 4.23

p value = 0.000012

Since p<0.05, we reject null hypothesis

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3 years ago

Number One)

pashok25 [27]

Answer:

Step-by-step explanation:

(1) $f(x) = (x-1)^{2} - 36$

First, let's expand the expression:

$f(x) = x^{2} -2x + 1 - 36$

$f(x) = x^{2} - 2x - 35$

Next, let's factor the quadratic:

$f(x) = (x - 7)(x + 5)$

Finally, set the equation equal to $0$ to find the solutions

$0 = (x - 7)(x + 5)$

$x = -5, 7$

(2) During the step $(x - 5)^{2} = 36$ , when you take the square root of both sides, you have two equations, rather than one:

$x - 5 = 6$ and $x - 5 = -6$ , so the solutions should be $x = -1, 11$

(3)

$\frac{1}{4}(x + 5)^{2} - 1 = 3$

Add $1$ to both sides

$\frac{1}{4}(x + 5)^{2} = 4$

Multiply both sides by $4$

$(x + 5)^{2} = 16$

Take the square root of both sides

$x + 5 =$ ± $4$

Subtract $5$ from both sides

$x = -9, -1$

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