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3 years ago

Which of the following graphs is described by the function given below? y=x^2-6x-7

Mathematics

1 answer:

mojhsa [17]3 years ago

4 0

Answer:

Step-by-step explanation:

If we have to find the graph described by a function then we should try to convert the equation into vertex form first.

Here given equation of the parabola is y = x² - 6x - 7

Then we will convert this equation into the vertex form.

y = x² - 2×(3x) + 9 - 16

y = (x - 3)² - 16

So the vertex of the given parabola is (3, -16).

Now we have understood that parent function y = x² have been shifted 3 units right and 16 units down.

Therefore, the given translated parabola will be in the shape of attached figure.

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Phonics is an instructional method in which children are taught to connect sounds with letters or groups of letters. A sample of

natali 33 [55]

Answer:

98% confidence interval: (29.25,38.87)

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 34.06

Sample size, n = 134

Sample standard deviation, s = 23.83

a) 98% confidence interval

$\bar{x} \pm z_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.02} = \pm 2.33$

$34.06 \pm 2.33(\frac{23.83}{\sqrt{133}} ) = 34.06 \pm 4.81 = (29.25,38.87)$

b) If a 95% confidence interval were constructed with these data, confidence interval would be narrower as the confidence level is decreasing as compared to 98%

c) If a sample of 150 students had been studied, the width of confidence interval will decrease as the sample size increases.

8 0

3 years ago

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Misha Larkins [42]

The answer is d because it 0 has more than one outcome and 0 needs to only have one outcome for it to be a function

8 0

2 years ago

If 60 is 75% of a value,what is that value

NISA [10]

80

<span>Using the rule of 3, 60x100% =6000(obviously) and 6000/75 = 80</span>

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2 years ago

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The lengths of songs on the radio are normally distributed with a mean length of 210 seconds, If 38.2% of all songs have lengths

gladu [14]

i think the answer is 16 seconds

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3 years ago

1 Batch Fruit Salad contains : 1 1/2 c apples, 1 3/4 c grapes, 1/2 c raisins, 2 2/4 c bananas, 3/4 c coconut, 1 2/4 c cherries a

rosijanka [135]

The batch of fruit salad has an equal amount of apples and cherries. This is because there are 1 1/2 c of apples and 1 2/4 c of cherries. the 1 1/2 is already simplified but the 1 2/4 is not. 1 2/4 is the same as 1 1/2, therefore apples and cherries have equal amounts.

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3 years ago