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vaieri [72.5K]
4 years ago
13

Set up each situation and simplify if possible. Then, choose all situations that are best modeled by a rational inequality.

Mathematics
1 answer:
Scrat [10]4 years ago
5 0

Answer:

Problem: 3x/5x + 5 ≤ 8 + 2x

Solution: x ≥ -15/7

Step-by-step explanation:

Example of this inequality is:

3x/5x + 5 ≤ 8 + 2x

3x/5x - 2x ≤ 8 - 5

(3x - 10x)/5 ≤ 3

-7x ≤ 15

x ≥ -15/7

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Need help, I cant simplify this
Kisachek [45]

Answer:

7^{\frac{2}{5}}

Step-by-step explanation:

Step 1: First apply radical rule in the given expression.

\sqrt[n]{a}=a^{\frac{1}{n}}

Here, \sqrt[3]{7}=7^{\frac{1}{3}}, \sqrt[5]{7}=7^{\frac{1}{5}}

The expression becomes \frac{\sqrt[3]{7}}{\sqrt[5]{7}}=\frac{7^{\frac{1}{3}}}{7^{\frac{1}{5}}}  

Step 2: Now, apply exponent rule in the above expression

\frac{x^{m}}{x^{n}}=x^{m-n}  

So, the expression becomes, 7^{\left(\frac{1}{3}-\frac{1}{5}\right)}.

Step 3: Take cross multiply the denominator and numerator of the fraction in the power of 7.

\Rightarrow 7^{\left(\frac{1}{3}-\frac{1}{5}\right)}=7^{\left(\frac{5-3}{15}\right)}=7^{\frac{2}{5}}

The answer is 7^{\frac{2}{5}}.

Hence the simplified form of \frac{\sqrt[3]{7}}{\sqrt[5]{7}}=7^{\frac{2}{5}}.

3 0
3 years ago
AB and BC are tangents. Find x.
Whitepunk [10]

Answer:

x=74

Step-by-step explanation:

If two tangent segments are drawn from the same external point, then the segments are equal.

3 0
3 years ago
68/80 as a fraction,percent,and decimal
Sholpan [36]
Fraction: 17/20
Divide by 4 to get 17/20
(68/4)/(80/20)

Percent: 85%
Using 17/20 -Multiply each side by 5 to get ____/100
17*5/20*5 = 85/100 or 85%

Decimal: 0.85
Using 85/100, divide it out to get 0.85.
5 0
4 years ago
What’s the volume of a pyramid with a square base of length 3cm and height 16cm
elena55 [62]

Step-by-step explanation:

V

=

l

w

h

3

l

Base length

cm

w

Base width

cm

h

Pyramid height

cm

4 0
3 years ago
Y = (x+3)(x - 1)<br> Axis of Symmetry:<br> Vertex:<br> Domain:<br> Range:
mrs_skeptik [129]
Axis of Symmetry: -1
Domain: All real numbers
Vertex: (-1,-4)
Range: not sure
4 0
3 years ago
Read 2 more answers
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