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ICE Princess25 [194]
2 years ago
12

Whats the vertex of the graph y=-x^2

Mathematics
1 answer:
yawa3891 [41]2 years ago
6 0
(0,0) you could use x=-b/2a but since your b term is nonexistant the whole term goes to 0 for the x value. Plug x=0 into the original equation which gives you another 0. ezpz
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Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1
N76 [4]

Answer:

x>8 and x<6

Step-by-step explanation:

well first the values of x-7 have to be greater than 1 or, less than -1

because if x-7=-2  then |-2|=2>1  satisfying the equation

so we have

x-7>1\\\\x-7+7>1+7\\\\x>8

and we have

x-7

to graph it it goes from (-∞,6)∪(8,∞)

8 0
3 years ago
What is:<br> <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B4x%5E%7B2%7D%20-20x%2B25%20" id="TexFormula1" title=" \sqrt{4x^{2} -
Firdavs [7]

We are given :

\sqrt{4x^{2}-20x+25}

Step 1: factor the part inside square root

The function given inside square root is of quadratic form.

So let us try to factorise it using AC method.

Here A*C = 4*25 = 100

so we have to find factors of 100 that add up to give -20.

the two factors are -10 and -10.

Rewriting the function :

4x^{2} -20x+25

=4x^{2} -10x-10x+25

=2x(2x-5) - 5(2x-5)

=(2x-5)^{2}

Step 2:

Now we take square root of the factorised form

\sqrt{(2x-5)^2}

= 2x-5

Answer : (2x-5)

3 0
3 years ago
Determine whether the improper integral converges or diverges, and find the value of each that converges.
Temka [501]

Answer:

It diverges.

Step-by-step explanation:

We are given the inetegral:  \int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx

\int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx=\int\limits^{\infty}_2 (\ln x)^2 d(\ln x)=\\\\=\lim_{t \to \infty} \int\limits^t_2 (\ln x)^2d(\ln x)=\lim_{t \to \infty} \frac{(\ln t)^3}{3} |^t_2=\infty-\frac{(\ln 2)^3}{3} =\infty

So it is divergent.

7 0
3 years ago
Simplify 8k+2+4k+(-3k)+5
Rzqust [24]
8k+4k-3k=9k
2+5=7
9k+7
3 0
3 years ago
Read 2 more answers
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another eq
Alex Ar [27]

Answer:

  90 inches

Step-by-step explanation:

The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...

  (3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches

5 0
2 years ago
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