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goblinko [34]
3 years ago
14

SERIOUS ANSWERS ONLY WILL GIVE BRAINLIEST

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0

Hello,

Part A:

f(x)=4x^2+8x-5\\=4(x^2+2x)-5\\=4(x^2+2x+1-1)-5\\=4(x+1)^2-9\\=(2(x+1)-3)(2(x+1)+3)\\=(2x-1)(2x+5)\\x-intercepts\ are\ x=\frac{1}{2} \ and\ x=-\frac{5}{2} \\

Part B:

x² coefficient is 4 >0 thus a minimun

as y=4(x+1)²-9 : vertex is (-1,-9)

Proof: see picture

Sorry for Part c: I don't know

In France, we make an array of (x,f(x)) and then plot the severals points.

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Find the perimeter and area of the polygon shown below. The polygon is a trapezoid made up of a rectangle and a right triangle.
algol13

Since, the polygon is a trapezoid made up of a rectangle and a right triangle. Therefore, according to the question, the figure of the polygon is attached.


Since, perimeter is the total length of the outer boundary of the figure. Therefore,

Perimeter of the polygon is=AB+BE+ED+DC+CA

                                             =18+17+8+18+15

                                             =76 \ ft


Area of the polygon = Area of Rectangle + Area of Triangle

                                  =[(18) \times (15)] + [(\frac{1}{2}) \times (8) \times (15)]

                                  =270 + [(\frac{8}{2}) \times (15)]

                                  =270 + [4 \times (15)]

                                  =270 + 60

                                  =330 \ {ft}^{2}

7 0
3 years ago
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The table shows the distances and times that four rowboats traveled. Which rowboat was the fastest?
Natali [406]
Um where is the table at
 
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3 years ago
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Suppose the x intercept of the graph of y=f(x) are 2 and 3. what are the x-intercepts of y=8f(x)
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We are given: Function y=f(x).

First x-intercept of the y=f(x) is 2.

x-intercept is a point on x-axis, where y=0.

Replacing y by 0 and x by 2 in above function, we get

0=f(2)

Second x-intercept of the y=f(x) is 3.

Replacing y by 0 and x by 2 in above function, we get

0=f(3)

We are given another function y=8f(x).

Here only function f(x) is being multiplied with 8.

That is y values of function should be multiply by 8.

Because we have y value equals 0. On multiplying 8 by 0 gives 0 again and it would not effect the values of x's.

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6 0
3 years ago
HELPP
Harrizon [31]

Answer:

Step-by-step explanation:

Alright, lets get started.

Lets find slope for both bikes one by one

For bike 1 :

There are two points on the graph of Bike 1, these two points are (2,3) and (4,6)

So the slope for bike 1 is : \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

So the slope for bike 1 is : \frac{6-3}{4-2}

So the slope for bike 1 is : \frac{3}{2}

For bike 2 :

There are two points on the graph of Bike 2, these two points are (4,5) and (8,10)

So the slope for bike 2 is : \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

So the slope for bike 2 is : \frac{10-5}{8-4}=\frac{5}{4}

Hence Bike 1 will win the race as slope of line bike1 is greater than slope of line bike 2.  So, answer is option D


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Answer:

9+9=1-6+9=890 so the awnser would be 8947

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