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3 years ago

If g(x)= 4x^2-16 we’re shifted 9 units to the right and 1 down, what would the new equation be

Mathematics

1 answer:

ser-zykov [4K]3 years ago

6 0

Answer:

Step-by-step explanation:

A shift along the x-axis is the opposite in the graph than in the equation. Rather than the x-intercept(s) being negative if the equation is x - n, they become positive; likewise for the other way around. A is the only answer that follows this rule. However, the y-intercept is y = n, so if n is negative, y gets shifted down rather than up.

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-4(x-5 ) - 25 = -5 x =?*

patriot [66]

Answer:

x=0

Step-by-step explanation:

First distribute -4 to x and -5 and get -4x+20-25=-5

Then you combine like terms and get -4x-5=-5

Then add 5 to both sides and get -4x=0

Then divide both sides by -4 and get x=0

7 0

3 years ago

If (x-7) is a factor of 2x^2-11x+k, what is the value of k

kondaur [170]

If x-7 =0

Then x =7

Substitute x=7 into f(x):

2(7)^2 - 11(7) + k

= (98-77)+k

= 21+k

Therefore k=-21 because 21+(-21)=0

4 0

3 years ago

Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th

denpristay [2]

Answer:

(1) Correct option is B.

(2) Correct option is C.

Step-by-step explanation:

The information provided is:

$n_{1}=200,\ \bar x_{1}=22.7,\ s_{1} = 4.5\\n_{2}=200,\ \bar x_{2}=19.7,\ s_{2} = 4.3$

The (1 - α)% confidence interval for the difference between two mean is:

$CI=\bar x_{1}-\bar x_{2}\pm t_{\alpha/2, (n_{1}+n_[2}-2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }$

The critical value of t is:

$\alpha /2=0.05/2=0.025$

degrees of freedom $=n_{1}+n_{2}-2=200+200-2=398$

$t_{\alpha/2, n_{1}+n_{2}-2}=t_{0.025, 398}=1.96$

Compute the 95% confidence interval for the difference between two mean as follows:

$CI=22.7-19.7\pm 1.96\sqrt{\frac{4.5^{2}}{200}+\frac{4.3^{2}}{200} }\\=3\pm0.8624\\=(2.1376, 3.8624)\\\approx(2.14, 3.86)$

Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.

Correct option is B.

The null value of the difference between means is 0.

As the value 0 is not in the interval this implies that there is a difference between the two means, concluding that priming does have an effect on scores.

Correct option is C.

4 0

3 years ago

0.1562 rounded to the nearest hundredth place

kondaur [170]

Answer:

0.16

Step-by-step explanation:

if the number in the thousandths is 5 or over you round it up.

3 0

3 years ago

Read 2 more answers

Find the value of s in rectangle

Sphinxa [80]

Answer:

s + 1 = 2s

s = 1

6 0

3 years ago