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3 years ago

How do I find the answer for 25/8-6/8

2 answers:

4 0

First, subtract the numerators and keep the denominator. so it will be 19/8 then turn into a mixed number which will be 16 1/4

MAXImum [283]3 years ago

4 0

So 2 and 5/8 equals 21/8. Whenever you turn a mixed number into an improper fraction, multiply the whole number by the denominator and add the numerator. Since both fractions already have a common denominator, all you need to do is subtract the numerators and don't touch the denominator.

21/8 - 6/8 = 15/8 = 1 7/8

This cannot be simplified any further so I would write it as a mixed fraction.

Hope this helps!

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The tables represent the functions f(x) and g(x).

dolphi86 [110]

A function assigns the values. The correct option is C, x=-6.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

A.) When the value of x is -12,

f(-12) = 2/3(-12) + 7 = -1

g(-12) = 2(-12) + 15 = -9

B.) When the value of x is -9,

f(-9) = 2/3(-9) + 7 = 1

g(-9) = 2(-9) + 15 = -3

C.) When the value of x is -6,

f(-6) = 2/3(-6) + 7 = 3

g(-6) = 2(-6) + 15 = 3

D.) When the value of x is -3,

f(-9) = 2/3(-3) + 7 = 5

g(-9) = 2(-2) + 15 = 11

Hence, the correct option is C, x=-6.

Learn more about Function:

brainly.com/question/5245372

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4 0

2 years ago

What is 3x + 5 = 10.4

ratelena [41]

Answer:

x = 1.8

Step-by-step explanation:

10.4 - 5 = 5.4 (subtract 5 from each side)

to isolate the variable, x, divide each side by 3

5.4/3 = 1.8

6 0

3 years ago

Read 2 more answers

URGENT!!! PLEASE LOOK AT THE PICTURE!!! PLEASE HELP!!!!

Svetllana [295]

Answer:

Step-by-step explanation:

this is a 45-45-90 triangle. The angle opposite the 45° angle is also 45°.

HI = HJ because this is an isosceles triangle.

Use the cos function to find the length of HJ:

cos Ф = adj / hyp or adj = (hyp)(cos Ф).

Here we have adj = HI = HJ = 4√5 cos 45° = 4√5 · -----

√2, or 4√5 / √2

4√10

This last result simplifies to ----------

or 2√10 (answer)

The length of side HJ and that of HI is 2/√10.

7 0

3 years ago

100 points! Evaluate the equation. Look at the picture. Do #7.

Murrr4er [49]

10C6 = 10!/(6!*(10-6)!) = 10*9*8*7/(4*3*2*1) = 210

There are 210 ways to choose 6 from a group of 10.

6 0

3 years ago

Read 2 more answers

For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?

Bond [772]

Given that $r=\theta$ , then $r'=1$

The slope of a tangent line in the polar coordinate is given by:

$m= \frac{r'\sin\theta+r\cos\theta}{r'\cos\theta-r\sin\theta}$

Thus, we have:

$m= \frac{\sin\theta+\theta\cos\theta}{\cos\theta-\theta\sin\theta}$

Part A:

For horizontal tangent lines, m = 0.

Thus, we have:

$\sin\theta+\theta\cos\theta=0 \\ \\ \theta\cos\theta=-\sin\theta \\ \\ \theta=- \frac{\sin\theta}{\cos\theta} =-\tan\theta$

Therefore, the values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:

θ = 0

θ = 2.02875783811043

θ = 4.91318043943488

Part B:

For vertical tangent lines, $\frac{1}{m} =0$

Thus, we have:

$\cos\theta-\theta\sin\theta=0 \\ \\ \Rightarrow\theta\sin\theta=\cos\theta \\ \\ \Rightarrow\theta= \frac{\cos\theta}{\sin\theta} =\sec\theta$

Therefore, the values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:

θ = 4.91718592528713

3 0

3 years ago