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Brums [2.3K]
2 years ago
11

On the set of axes below, draw the graph of y=x^2-4x-1

Mathematics
1 answer:
never [62]2 years ago
5 0

9514 1404 393

Answer:

  axis of symmetry: x = 2

  see below for a graph

Step-by-step explanation:

You can complete the square to put the equation in vertex form.

  y = (x^2 -4x +4) -1 -4

  y = (x -2)^2 -5 . . . . . . vertex is (2, -5)

The equation of the axis of symmetry is the equation of the vertical line through the vertex:

  x = 2 . . . . . axis of symmetry

__

Points on the graph are easily found by using integer values on either side of x=2. Points on one side of the axis of symmetry are mirrored on the other side of it.

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Find the missing term in the geometric sequence. 180,___,5
Elan Coil [88]

Answer:

30.

Step-by-step explanation:

first term = a

3r term = ar^2

So here ar^2/ a  = r^2

r^2 = 5/180 = 1/36

r = 1/6

So missing term = 180 * 1/6 = 30.

7 0
2 years ago
Isabella has 5 pounds of trail mix. She divides the mix into 1.4 pounds of servings. How many 1.4 pound servings does she have?
V125BC [204]
She will have 3 servings with some trail mix left over
3 0
3 years ago
0.052 divided by blank equals 0.052
djverab [1.8K]

Answer:

0.002704

Step-by-step explanation:

You just multiply 0.052 by itself

then divide the answer by 0.052

7 0
2 years ago
Will give brainlest couldn't figure this out. There both the same question btw.
saveliy_v [14]

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Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
In a survey of 706 parents with kids 4 to 8 years old. 346 say that they know their state booster seat law. Construct a 90% conf
Llana [10]

Answer:

(0.46, 0.52)

Step-by-step explanation:

The formula for Confidence Interval with Proportion

CI = p ± z × √p(1 - p)/n

Where

p = Proportion = x/n

x = 346

n = 706

p = 346/706

p = 0.49

z = z score of Confidence Interval 90% = 1.645

Therefore:

CI = 0.49 ± 1.645 × √0.49(1 - 0.49)/706

CI = 0.49 ± 1.645 × √0.49 × 0.51/706

CI = 0.49 ± 1.645 × 0.0188139843

CI = 0.49 ± 0.0309490042

Hence:

Confidence Interval is

0.49 - 0.0309490042

= 0.4590509958

≈ 0.46

0.49 + 0.0309490042

= 0.5209490042

≈ 0.52

Therefore , the confidence interval of the population proportion is

(0.46, 0.52)

4 0
2 years ago
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