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Furkat [3]
3 years ago
13

Finding the Vertex What is the vertex of the quadratic function f(-x) = (x - 3)(x - 2)?

Mathematics
1 answer:
laila [671]3 years ago
7 0
The vertex is -0.25
Explanation: I have a Casio fx-9750Gll. I pressed menu and clicked on graph. i then typed in the equation and pressed EXE(which is enter). then, i pressed f5(G-Solv) and that gives you two options, Max or Min. you can look at the graph to determine which one it is. but i pressed f3(V-Window) which was the option Min and it gave me (2.5,-0.25) so the answer is -0.25
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Using the points [164,166]and[173,174] find the slope
Lana71 [14]

Answer:

8/9

Step-by-step explanation:

The equation to find a slope is y2-y1/x2-x1=m. (m is the slope)

174-166/173-164

8/9

So the slope is 8/9.

8 0
3 years ago
Divide the number 20 into two parts (not necessarily integers) in a way that makes the product of one part with the square of th
Ilya [14]

Answer:

13 1/3 and  6 2/3.

Step-by-step explanation:

Let the 2 parts be x and (20 - x).

So x^2(20 - x) must be a maximum.

y = x^2(20 - x)

y = 20x^2 - x^3

Finding the derivative):

y' =  40x - 3x^2 = 0   for  maxm/minm value.

x( 40 - 3x) = 0

40 - 3x = 0

3x = 40

x = 40/3.

This is a maximum because the second derivative y" =  40 - 6x = 40 - 6(40/3)) is negative.

So the 2 numbers are 13 1/3 and  6 2/3.

3 0
3 years ago
Which angle(s) is Julian describing?
Crank
I’m sorry I can’t help you, i would need more information
6 0
3 years ago
I really need help can somebody help me please
Grace [21]

Answer:

To find out the range, you check the minimum and maximum of the graph, and then check the y-component of these minimum and maximum.

You would get the minimum(-6, -6), and maximum(3, 4), get the y-component of these two points, you got the range: -6 to 4

Hope this helps!

:)

7 0
3 years ago
Abc similar to def the area of abc is 45cm and the area of triangle def is 20cm one side of triangle abc is 3.6cm the the length
pickupchik [31]

Answer:

2.4cm

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

that means two lengths of the triangle have to be multiplied.

and to have 2 similar triangles means that all lengths inside one triangle are the corresponding lengths inside the other triangle multiplied by the scaling factor f.

multiplying 2 if these lengths with each other means also including the square of the scaling factor (multiplying with the scaling factor twice).

so, if the area of triangle 1 is

"baseline 1" × "height 1" / 2 = 45 cm²

then the area of triangle 2 is

"baseline 2" × "height 2" / 2 =

= "baseline 1"×f × "height 1"×f /2 =

= "baseline 1" × "height 1" × f² / 2 =

= ("baseline 1" × "height 1" / 2) × f² =

= 45 × f² = 20 cm²

f² = 20/45 = 4/9

f = 2/3

so, for a side of ABC being 3.6cm long, that means the corresponding side in DEF is

3.6 × f = 3.6 × 2/3 = 7.2/3 = 2.4cm

4 0
3 years ago
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