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2 years ago

Is y-4x(sqrd)=3x linear?

Mathematics

1 answer:

Ymorist [56]2 years ago

3 0

Answer:

Step-by-step explanation:

Since x increases exponentially by the 2nd power, it is not linear, it is a quadratic equation.

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Please help! I would appreciate it!!

AVprozaik [17]

They are not congruent. Hope that is correct

5 0

3 years ago

The lesser of the two solutions to x(x + 4) = 21 is:

Oksi-84 [34.3K]

Answer:

Lesser is -7

Step-by-step explanation:

x(x+4) = 21

Distribute

x^2 + 4x = 21

x^2 + 4x - 21 = 0

x^2 + 7x - 3x -21 = 0

(x+7)(x-3) = 0

x=-7, 3

PLS MARK BRAINLIEST

6 0

2 years ago

If f(x)= (x^m+9)^2 what would be true about the statement?

Troyanec [42]

Answer:

f(x) is an even function for all even values of m.

Step-by-step explanation:

I believe the correct answer from the choices listed above is option. The reason of that is because no matter what m is, assuming it is an integer 2m will always be an even number. Hope this answers the question.

plz mark me as brainliest :)

8 0

3 years ago

In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear pow

leva [86]

Answer:

The test statistic z = z = 2.368 >1.97 (at 5% level of significance)

we rejected null hypothesis at 5% level of significance

There is significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Step-by-step explanation:

Given data In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 63 of 100 urban residents

The first sample proportion $p₁ = \frac{63}{100} =0.63$

The construction of 59 of 125 suburban residents are in favor

The second sample proportion $p_{2} = \frac{59}{125} = 0.472$

Given the sample sizes are n₁ = 100 and n₂ =125

Null hypothesis(H₀):-there is no significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Alternative hypothesis: H₁

There is significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Level of significance:-

∝ =0.05

Tabulated value z=1.96

Test statistic

$z = \frac{p_{1}-p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1} +n_{2} }$ q = 1- p

Substitute all values in above equation

$p = \frac{100X0.63+0.472X125}{100+125} = 0.542$

q = 1-p = 1 - 0.542 = 0.458

The test statistic

$z = \frac{0.63-0.472}{\sqrt{0.542X0.458}(\frac{1}{100}+\frac{1}{125} )}$

on simplification , we get

z = 2.368 >1.97 (at 5% level of significance)

we rejected null hypothesis at 5% level of significance

Conclusion:-

There is significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

8 0

3 years ago

Which exponential function is represented by the values in the table?

Goryan [66]

Answer:

$\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x$

Step-by-step explanation:

Exponential Function

The exponential function can be written with the general equation:

$f(x)=A\cdot r^x$

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

$\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x$

$\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0$