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Umnica [9.8K]
4 years ago
6

Graph y=3x^2 -5 and it's inverse

Mathematics
2 answers:
USPshnik [31]4 years ago
5 0
<span>Graph y=3x^2 -5 and it's inverse.</span>

forsale [732]4 years ago
3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y=3x^{2}-5 -----> quadratic equation of a vertical parabola open upward

Find the inverse function

Exchange variables x for y and y for x

x=3y^{2}-5

Isolate the variable y

3y^{2}=x+5  -----> inverse function (horizontal parabola open to the right)

or

y=(+/-)\sqrt{\frac{x+5}{3}}

using a graphing tool

see the attached figure


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Solve 6(x - 3) + 7 = -5.
laila [671]

The answer will be:-  <u>x = 1</u>

6 0
3 years ago
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How do i check 5c + 4 = 2(c – 5)
iVinArrow [24]

Answer:

We move all terms to the left:

5c+4-(2(c-5))=0

Step-by-step explanation:

6 0
3 years ago
(7.9-5.1)x(0.2+0.8)=?
Aleks [24]


7.9-5.1=2.8 0.2+0.8=1    2.8  x  1=2.8

Hope I helped


4 0
4 years ago
n engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that
BartSMP [9]

Answer:

<em>The calculated t- value =  1.11 > 2.89 at 0.025 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given mean of the Population (μ) = 5.4</em>

<em>Given sample size 'n' = 9</em>

<em>Mean of the sample (x⁻) = 5.7</em>

<em>Standard deviation of the sample (s) = 0.81</em>

<u><em>Step(ii):-</em></u>

<em>Null Hypothesis: H₀:</em>  The engineer designed the valve such that it would produce a mean pressure of 5.4

H₀: μ = 5.4

<em>Alternative Hypothesis : H₁:</em>  μ ≠ 5.4

Level of significance = 0.025

Test statistic

            t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

           t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }

         t = 1.11

<em>Degrees of freedom </em>

<em>ν = n-1 = 9-1 =8</em>

t₀.₀₁₅ , ₈  = 2.89

<em>The calculated t- value =  1.11 > 2.89 at 0.025 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4</em>

<em></em>

<em />

7 0
3 years ago
2/5+3/7 is the same as?​
Vsevolod [243]

Answer:

29/35

Step-by-step explanation:

Least common denominator of 5 and 7 is 35

\frac{2}{5}=\frac{2*7}{5*7}=\frac{14}{35}\\\\\frac{3}{7}=\frac{3*5}{7*5}=\frac{15}{35}\\\\\frac{2}{5}+\frac{3}{7}=\frac{14}{35}+\frac{15}{35}\\\\  \ = \frac{14+15}{35}\\\\ = \frac{29}{35}

6 0
3 years ago
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