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3 years ago

Which transformations could be performed to show that

Mathematics

1 answer:

andre [41]3 years ago

3 0

Answer: a 180 degree rotation about the origin, then a dilation by a scale factor of 1/3

Step-by-step explanation:

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If b (middle term) is negative and c (last term is positive) then what do you know about the two factors? ex. 2x^2-7x+6

seraphim [82]

Answer:

signs of the constants in the binomial factors are negative

Step-by-step explanation:

Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.

2x^2 -7x +6 = (x -2)(2x -3)

<em>Further comment</em>

c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.

b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.

In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.

4 0

3 years ago

What is the axis of symmetry for f(x) = -3x2 + 18 - 7

solong [7]

The vertex form:

$y=a(x-h)^2+k\\\\(h,\ k)-vertex$

The axis of symetry is x = h.

$y=ax^2+bx+c\to h=\dfrac{-b}{2a}$

We have

$f(x)=-3x^2+18x-7\to a=-3,\ b=18,\ c=-7$

Substitute:

$h=\dfrac{-18}{(2)(-3)}=\dfrac{-18}{-6}=3$

<h3>Answer: x = 3</h3>

6 0

4 years ago

P and a are on points on the line 4x+2y=8. What are the coordinates?

KATRIN_1 [288]

(0, 4) and (2, 0) are the coordinates

8 0

3 years ago

Read 2 more answers

Solve the inequality and enter your solution as an inequality. <br><br> 8 + x>4

castortr0y [4]

if any concerns or questions on solution, just comment

6 0

3 years ago

Parameter and Statistic. In a Harris Interactive survey of 2276 adults in the United States, it was found that 33% of those surv

ankoles [38]

Answer:

Our population of interest represent all the adults in United states who never travel using commercial airlines.

The sample on this case represent the people surveyed in United States who never travel using commercial airlines.

For this case the value obtained $\hat p =0.33$ represent a statistic since is a value who represent the sample not the population. Our population parameter is not known and is given by $p$

Step-by-step explanation:

A statistic is a "characteristic of a sample". And the statistic allows "estimate the value of a population parameter".

A parameter is a value who represent the population of interest.

For this case we have a sample size of size n = 2276

The proportion estimated $\hat p$ of people that nevel travel using commercial airlines was:

$\hat p = \frac{x}{2276}=0.33$ or 33%

Our population of interest represent all the adults in United states who never travel using commercial airlines.

The sample on this case represent the people surveyed in United States who never travel using commercial airlines.

For this case the value obtained $\hat p =0.33$ represent a statistic since is a value who represent the sample not the population. Our population parameter is not known and is given by $p$

4 0

3 years ago