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Leno4ka [110]
4 years ago
11

Which of the following is the graph of the quadratic function? y=x^2+4-12

Mathematics
1 answer:
tiny-mole [99]4 years ago
5 0

Answer:

Graph B

Step-by-step explanation:

The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis

Now the first thing we will do here is to solve the quadratic equation graph;

x^2 + 4x -12 = 0

x^2 +6x - 2x -12 = 0

x (x + 6) -2(x + 6) = 0

(x-2)(x + 6) = 0

x = 2 or -6

So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation

Graph B is the closest to what we have as answer

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Write a real-world problem that corresponds to 100-8x=28 . Make sure your story problem includes all the parts of the equation a
likoan [24]

Answer:

Mike has $100. Every week, he spends $8 on a new book. How many weeks would it take for him to have $28 left?

Step-by-step explanation:

6 0
3 years ago
Marco states that 7.696696669 is a rational number because it is a repeating decimal. is he correct
DochEvi [55]

Hello there! And welcome to brainly . com! Your number one asking and answering site.

Answer: No.

Why?

The said decimal is a string of numbers, but does not have the same number repeated over and over again, nor does it have a triple dot after it. Thus, it is not repeating.

Hope this helped you, and have a great day! ♥

7 0
4 years ago
Read 2 more answers
A line that includes the point (16, 15) has a slope of 0. What is its equation in
galben [10]

9514 1404 393

Answer:

  y = 0x + 15

Step-by-step explanation:

A line with a slope of 0 is a horizontal line. It has the same y-value everywhere. If it goes through the point (16, 15) with y-coordinate 15, then its y-intercept is 15.

Writing the slope explicitly, the equation is ...

  y = 0x +15

Simplified, the equation is

  y = 15

3 0
3 years ago
Estimate how many times larger 4 x 10^15 is than 8 x 10^9 in the form of a single digit times an integer power of 10.
netineya [11]

Answer:

5×10⁵

5×10⁶

Step-by-step explanation:

1)

\dfrac{4\cdot 10^{15}}{8\cdot 10^{9}}=\dfrac{40\cdot 10^{14}}{8\cdot 10^{9}}\\\\=\dfrac{40}{8}\cdot 10^{(14-9)}=5\cdot 10^{5}

2)

\dfrac{2\cdot 10^{-5}}{4\cdot 10^{-12}}=\dfrac{20\cdot 10^{-6}}{4\cdot 10^{-12}}\\\\=\dfrac{20}{4}\cdot 10^{(-6-(-12))}=5\cdot 10^{6}

3 0
4 years ago
What is the total area of the regions between the curves y = 6x2 − 18x and y = −6x from x = 1 to x=3?.
kvasek [131]

Using integration, it is found that the area between the two curves is of 22 square units.

<h3>What is the area between two curves?</h3>

The area between two curves y = f(x) and y = g(x), in the interval from x = a to x = b, is given by:

A = \int_{x = a}^{x = b} |f(x) - g(x)| dx

In this problem, we have that:

f(x) = 6x^2 - 18x, g(x) = -6x, a = 1, b = 3.

Hence, the area is:

A = \int_{1}^3 |6x^2 - 12x| dx

A = |x^3 - 6x^2|_{x = 1}^{x = 3}

Applying the Fundamental Theorem of Calculus:

A = |3^3 - 54 - 1^3 + 6|

A = 22

The area between the two curves is of 22 square units.

More can be learned about the use of integration to find the area between the two curves at brainly.com/question/20733870

8 0
3 years ago
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