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3 years ago

What is the axis of symmetry and vertex for the function f(x) = 3(x – 2)2 + 4

Mathematics

2 answers:

Vesna [10]3 years ago

6 0

X=2, the x coordinate of the vertex! ;)

sweet [91]3 years ago

3 0

Answer:

vertex (2,4)

Step-by-step explanation:

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How much is a 10% increase on a $30,000 salary

oksian1 [2.3K]

Salary = $ 30,000

10% of salary = $\frac{10}{100} * 30000$ = $ 3,000

Hence, 10% increase in the salary

= 30,000 + 3,000 = $ 33,000

Thus, the answer is $ 33,000.

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4 years ago

What is .54 repeating as a fraction

mestny [16]

0.54 repeating as a fraction is 54/99.

When a number that is not 0.99999...(etc) repeats, you need to add a digit 9 as to the denominator for every digit on top. For example, 0.2 repeating is 2/9, 0.21 repeating is 21/99, 213 repeating is 213/999, and so on.

You can always test this with a calculator to make sure.

8 0

3 years ago

Read 2 more answers

Solve for x. -3x + 4 = -8 <br> A) x = 4 <br> B) x = -4 <br> C) No Solution <br> D) x = - 4 /3

KengaRu [80]

<span>-3x + 4 = -8
Subtract 4 from both sides
-3x=-12
Divide -3 on both sides
Final Answer: A.) x=4</span>

3 0

3 years ago

Read 2 more answers

1.A wedding planner uses 72 ivy stems for 18 centerpieces. When she arrives at the venue, she realizes she will only need 16 cen

Free_Kalibri [48]

Answer:

64 ivy stems.

Step-by-step explanation:

Given:

A wedding planner uses 72 ivy stems for 18 centerpieces.

When she arrives at the venue, she realizes she will only need 16 centerpieces.

Question asked:

How many ivy stems should she use so that the ratio of ivy stems to centerpieces stays the same?

Solution:

<u>As wedding planner uses 72 ivy stems for 18 centerpieces: </u>

Ratio of ivy stems to centerpieces = $\frac{72}{18}$

<u>As she realizes that she needs only 16 centerpieces:</u>

Let ivy stems should be used to stays the ratio same = $x$

Now, to do the ratio same:-

Old ratio = $\frac{72}{18}$

New ratio = $\frac{x}{16}$

To do the ratio same:-

$\frac{72}{18}=\frac{x}{16} \\$

By cross multiplication:

$18x=72\times16\\18x=1152$

Dividing both sides by 18

$x=64$

Therefore, 64 ivy stems she should use so that the ratio of ivy stems to centerpieces stays the same.

3 0

4 years ago

the ratio of the length of an arc of the circle to the circumference of the circle is 3:7, if the diameter of the circle is 14cm

konstantin123 [22]

The perimeter and area of this minor circle are equal to 32.857 units and 88.345 units² respectively.

<h3>How to calculate the perimeter of the minor circle?</h3>

First of all, we would determine the circumference of this circle by using this formula:

C = πD

C = 22/7 × 14

C = 44 units.

For the length of an arc of the circle:

Arc length/Circumference = 3/7

Arc length = 3/7 × C

Arc length = 3/7 × 44

Arc length = 18.857 units.

Now, we can calculate the perimeter:

Perimeter = 2r + arc length

Perimeter = 2(14/2) + 18.857

Perimeter = 14 + 18.857

Perimeter = 32.857 units.

<h3>The area of the minor circle.</h3>

Mathematically, the area of a minor circle is given by this formula:

Area = θr²/2

But, we would have to find the angle in radians:

18.857/32.857 = θ/360

θ = 3.6059 radians.

Substituting the given parameters into the formula, we have;

Area = (3.6059 × 7²)/2

Area = 88.345 units².

Read more on circumference here: brainly.com/question/14478195

#SPJ1

4 0

2 years ago