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frozen [14]
2 years ago
8

Help me out here guys

Mathematics
1 answer:
kvasek [131]2 years ago
3 0
D.

f(x) can be written as (x+2)(x-2)(x-1)
by using difference of two squares to expand x^2 - 4 whch yields 3 x intercepts

similarly, k(x) can be written as
x(x+5)(x-5) which also yields 3
x intercepts (0,-5, and 5)
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stealth61 [152]

Answer:

We have 4 x ( 3 / 2 ) = 12 / 2 = 6;

Step-by-step explanation:

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Solve for h. <br>what is h equal to?​
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Step-by-step explanation:

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asic Geometric Shapes - Part 1 What is the value of x (3x +50) Enter your answer in the box. (6x - 10)
r-ruslan [8.4K]

1) From the picture, we see that we have two vertical angles:

\begin{gathered} A=(3x+50)^{\circ} \\ B=(6x-10)^{\circ} \end{gathered}

2) Now, because of the<em> "Vertical Angles Postulate"</em> from geometry, we know that angles A and B are equal, so equalling the angles and replacing by their expression from above, we get the following equation in terms of x:

\begin{gathered} A=B \\ 3x+50=6x-10 \end{gathered}

3) We must solve the last equation for x, doing that we find:

\begin{gathered} 3x+50=6x-10 \\ 50=6x-10-3x \\ 50+10=6x-3x \\ 60=3x \\ x=\frac{60}{3} \\ x=20 \end{gathered}

Steps to solve the equation

0) We have the equation:

3x+50=6x-10

1) We want all the terms with x on one side, and the other on the other one. So we pass the term +3x to the right as -3x:

50=6x-10-3x

2) Now we pass the term -10 to the left as +10:

50+10=6x-3x

3) We sum the terms on each side:

60=3x

4) We pass the 3 that multiplies the x on the right, dividing the 60 on the left:

x=\frac{60}{3}

5) Finally we make the division and we get:

x=20

Answer

x = 20

6 0
1 year ago
What is the equation of the parabola?
Stella [2.4K]

Answer:

Option D.

Step-by-step explanation:

The vertex form of a parabola along y-axis is

y=a(x-h)^2+k      ...(1)

where, (h,k) is vertex and a is a constant.

From the given graph it is clear that the vertex of the parabola is (0,2). So, h=0 and k=2.

y=a(x-0)^2+2

y=ax^2+2    ...(2)

The graph passing through (6,5). Substitute x=6 and y=5 in the above equation.

5=a(6)^2+2

5-2=36a

3=36a

\frac{3}{36}=a

\frac{1}{12}=a

Substitute a=\frac{1}{12} in equation (2).

y=\frac{1}{12}x^2+2

Therefore, the correct option is D.

8 0
3 years ago
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