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vredina [299]
3 years ago
8

F(x)=x2+5x-1 is shifted 3 units left the result is g(x) what is g(x)?

Mathematics
1 answer:
Len [333]3 years ago
6 0
Replace the x in  x^2 + 5x - 1 by x+3:-

g(x) =
(x+3)^2 + 5(x+3) - 1

= x^2 + 6x + 9 + 5x + 15 - 1

= x^2 + 11x + 23

- thats  g(x)
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What is the probability that the coin will land on heads
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Fifty percent chance
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3 years ago
Find the coordinates of the points of intersection of the parabola y=x^2+3x-4 and the line y=2x+2
lana [24]
You can set the y values equal to each other and solve the system:

x^2+3x-4=2x+2
x^2+x-6=0
(x+3)(x-2)=0
x=-3,2

So, these are the x values of the intersection. To get the y values, you can just plug them back into either formula:

y=2(-3)+2
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y2(2)+2
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So the coordinates are (-3,-4) and 2,6).
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What is add 2x-1 to 5x+ 4? Thanks
Maksim231197 [3]

for this problem the answer is  9x-3

7 0
3 years ago
Read 2 more answers
Wendy bought 4 bananas and 2 apples for $1.68. James bought 5 bananas and 3 apples for $2.35.
balu736 [363]

Answer:

1st part

Apples = $.17

Bananas = $.50

2nd part

A = 4

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4 0
3 years ago
One hundred rats with mothers that were exposed to high levels of tobacco smoke during pregnancy were put through a simple maze.
Paul [167]

Answer:

The 90% confidence interval for pis (0.7342, 0.8658).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

100 rats mothers, 80 went right. So n = 100, \pi = \frac{80}{100} = 0.8

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 1.645\sqrt{\frac{0.8*0.2}{100}} = 0.7342

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 1.645\sqrt{\frac{0.8*0.2}{100}} = 0.8658

The 90% confidence interval for pis (0.7342, 0.8658).

3 0
3 years ago
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