All categories

4 years ago

What are the x-intercepts of the quadratic function?

1 answer:

3 0

$y=-x^2+2x-1=-(x^2-2x+1)=-(x-1)^2\ \ \Rightarrow\ \ y \leq 0\\ \\C.\ x=2\ \ \Rightarrow\ \ \ y=-(2-1)^2=-1\ \ \Rightarrow\ \ (2;-1)\\ \\Ans.\ C$

You might be interested in

(x–3)^2(x+3)^2<br> HELP MEE

Vsevolod [243]

(x^2-6x+9)(x^2+6x+9) and expand it

8 0

3 years ago

A bean plant grew 1 1/2 inches per day. How much did the plant grow in 9 days?

SIZIF [17.4K]

Answer:

108 Inches

Step-by-step explanation

9 * 12 = 108

4 0

3 years ago

Read 2 more answers

Find the volume of the solid whose base is the circle x2+y2=25 and the cross sections perpendicular to the x-axis are triangles

ivanzaharov [21]

Triangles with height $h$ and base $b$ , with $b=h$ have area $\dfrac{b^2}2$ .

Such cross sections with the base of the triangle in the disk $x^2+y^2\le25$ (a disk with radius 5) have base with length

$b(x)=\sqrt{25-x^2}-\left(-\sqrt{25-x^2}\right)=2\sqrt{25-x^2}$

i.e. the vertical (in the $x,y$ plane) distance between the top and bottom curves describing the circle $x^2+y^2=25$ .

So when $x=4$ , the cross section at that point has base

$2\sqrt{25-16}=6$

so that the area of the cross section would be 6^2/2 = 18.

In case it's relevant, the entire solid would have volume given by the integral

$\displaystyle\int_{-5}^5\frac{b(x)^2}2\,\mathrm dx=4\int_0^5(25-x^2)\,\mathrm dx=\frac{1000}3$

6 0

3 years ago

∆ABC is translated 6 units up and 3 units left to create ∆A'B'

guajiro [1.7K]

Keep in mind that the positive directions of the two axis are: upwards for the y axis and rightwards for the x axis.

So, translating a point 6 units up means to go 6 units along the positive direction on the y axis. For this reason, the new y coordinate will be 6 units more than the old one.

Similarly, going 3 units left means to decrease by 3 the x coordinate, because we're following the negative direction.

So, to recap, this transformation maps $(x,y) \to (x-3, y+6)$

This means that the two points become

$A = (-1, 2) \implies A' ( -4,8),\qquad B = (1,5) \implies B' = (-2,11)$

6 0

4 years ago

Describe the shape of the data for German male adults, and explain how you came to that conclusion. Are there any outliers in th

yarga [219]

Desculpe-me eu não sei mas irei falar com meu professor!

5 0

4 years ago

Read 2 more answers