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3 years ago

Select all of the statements that are true for the given parabola.

Mathematics

1 answer:

svet-max [94.6K]3 years ago

5 0

Answer:

A and B

Step-by-step explanation:

The minimum occurs at the turning point ( vertex )

The coordinates of the vertex are (1, - 2 ) → A

The x- intercepts are the points where the graph crosses the x- axis

This occurs at (3, 0 ) and (- 1, 0 ) → B

The axis of symmetry is a vertical line passing through the vertex

Equation of axis of symmetry is x = 1 , not y = - 2

(1, - 2 ) is a minimum not a maximum , see above

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Simplify: (3 × 22) ÷ 6 + [28 – (4)2] Question 17 options: A) 32 B) 23 C) 46 D) 55

algol13

Answer:

Step-by-step explanation:

Here the trick is to perform the indicated operations in the correct order. Anything inside parentheses must be done first, followed by any multiplication or division, followed by any addition or subtraction.

Doing the work inside parentheses first:

(3 × 22) ÷ 6 + [28 – (4)2] => (66) ÷ 6 + [28 - 8], or

(66) ÷ 6 + [28 - 8] => 11 + [20], or 31

3 0

3 years ago

At the beginning of the summer, Paul has $76. During the summer, he earns money by mowing lawns. The table shows the total amoun

san4es73 [151]

y = 12x+76 is the answer to your question i know it was a little late but at least other people who would like to know can see it.

3 0

3 years ago

(3x - 9) + x + (x + 28) = 184.

julia-pushkina [17]

Answer:

Step-by-step explanation:

rearrange and combine like terms

(3x - 9) + x + (x + 28) = 184

3x - 9 + x + x + 28 = 184

3x + x + x + 28 - 9 = 184

3x + x + x = 184 + 9 - 28

5x = 165

x = 33

3 0

3 years ago

Read 2 more answers

for the data values below construct a 95 confidence interval if the sample mean is known to be 12898 and the standard deviation

Volgvan

Answer:

A 95% confidence interval for the population mean is [3315.13, 22480.87] .

Step-by-step explanation:

We are given that for quality control purposes, we collect a sample of 200 items and find 24 defective items.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample proportion of defective items = 12,898

s = sample standard deviation = 7,719

n = sample size = 5

$\mu$ = population mean

Here for constructing a 95% confidence interval we have used a One-sample t-test statistics as we don't know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-2.776 < $t_4$ < 2.776) = 0.95 {As the critical value of t at 4 degrees of

freedom are -2.776 & 2.776 with P = 2.5%}

P(-2.776 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.776) = 0.95

P( $-2.776 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.776 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.776 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.776 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-2.776 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.776 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $12,898-2.776 \times {\frac{7,719}{\sqrt{5} } }$ , $12,898+2.776 \times {\frac{7,719}{\sqrt{5} } }$ ]

= [3315.13, 22480.87]

Therefore, a 95% confidence interval for the population mean is [3315.13, 22480.87] .

5 0

4 years ago

How many lunches will i be able to buy before i run out of money ?

inysia [295]

Answer:

Around 13 lunches

Step-by-step explanation:

If you divide 100 and 7.50, you get 13.33 and if you round it, it equals 13.

5 0

3 years ago