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emmasim [6.3K]
3 years ago
14

Hey Boo faces what is 0.38 × 5 × (1/20) × 3 × (−8)

Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0

Answer:

-2.28

Step-by-step explanation:

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Find the vertex of the parabola formed by the following quadratic function: y = 3x^2 – 6x + 2
storchak [24]
Vertex form is y=a(x-h)^2+k, so we can rearrange to that form...

y=3x^2-6x+2  subtract 2 from both sides

y-2=3x^2-6x  divide both sides by 3

(y-2)/3=x^2-2x, halve the linear coefficient, square it, add it to both sides...in this case:  (-2/2)^2=1 so

(y-2)/3+1=x^2-2x+1  now the right side is a perfect square

(y-2+3)/3=(x-1)^2

(y+1)/3=(x-1)^2  multiply both sides by 3

y+1=3(x-1)^2  subtract 1 from both sides

y=3(x-1)^2-1  so the vertex is:

(1, -1)

...

Now if you'd like you can commit to memory the vertex point for any parabola so you don't have to do the calculations like what we did above.  The vertex of any quadratic (parabola), ax^2+bx+c is:

x= -b/(2a),   y= (4ac-b^2)/(4a)

Then you will always be able to do a quick calculation of the vertex :)
7 0
3 years ago
Rose Marie is shopping for some new shoes. The shoes she wants cost
ololo11 [35]

Answer:

Step-by-step explanation:

7 0
3 years ago
Can someone answer this for me? I haven’t done geometry in a while so I need a refresher.
Olin [163]

<u>I believe I have to calculate the area of the shape. I'll do that.</u>

Answer:

<em>Total area = 23.04 square m</em>

Step-by-step explanation:

<u>Area of a compound shape</u>

The shape shown in the figure can be divided into two smaller rectangles. We need to find their dimensions.

The single tick in the 2 m side indicates the other side also measures 2 m. This means the width of one of the smaller rectangles is 5.2m - 2 m = 3.2 m

The double tick in the 5.2 m also indicates the length of that smaller rectangle is 5.2 m. Thus the two rectangles have their respective areas as:

A1 = 5.2 m * 3.2 m = 16.64 square m

A2 = 2 m * 3.2 m = 6.4 square m

The total area is:

At = 16.64 square m + 6.4 square m = 23.04 square m

Total area = 23.04 square m

3 0
3 years ago
The height in feet of a ball dropped from a 150 ft building is given by h(t)=-16 ft^2 +150, where t is the time in seconds after
ipn [44]

Answer:

Part 1) Option A. h(2) = 86.00 means that after 2 seconds, the height of the ball is 86.00 ft

Step-by-step explanation:

we have

h(t)=-16t^{2}+150

where

t ----> is the time in seconds after the ball is dropped

h(t) ----> he height in feet of a ball dropped from a 150 ft

Find h(2)

That means ----> Is the height of the ball  2 seconds after the ball is dropped

Substitute the value of t=2 sec in the equation

h(2)=-16(2)^{2}+150=86\ ft

therefore

After 2 seconds, the height of the ball is 86.00 ft.

7 0
3 years ago
Priya has completed 9 exam questions. This is 60% of the questions on the exam. How many questions are on the exam?
USPshnik [31]

the whole exam will be 100%, and let's say that's "x" questions, but we also know that 9 is 60% of that so

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 9&60 \end{array}\implies \cfrac{x}{9}=\cfrac{100}{60}\implies \cfrac{x}{9}=\cfrac{5}{3}\implies 3x=45 \\\\\\ x=\cfrac{45}{3}\implies x=15

8 0
3 years ago
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