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3 years ago

Solve g(x) = h(x) for x: g(x) = -2x - 2 h(x) = -4x – 8

Mathematics

1 answer:

marishachu [46]3 years ago

3 0

Answer: x = -3
set them equal to each other and reverse pemdas as shown in my image

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3^2∙3^n simplifies to 3^20

yan [13]

2*3=6
6*3.33=20
3^20
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3 years ago

Use the distributive property to write the following expressions in expanded form.

Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

a. 4x+4y

b. 8a+24b

c. 6x+33y

d. 63a+54b

e. 3ac+bc

f. 2xy+11yz

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3 years ago

What is 37.025 written in word format

egoroff_w [7]

Thirty seven and twenty five thousandths

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3 years ago

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Simplify the expression. 11c + 3(-5c + 4d)

tamaranim1 [39]

Perform indicated multiplication:

11c+3(-5c)+3(4d)

11c-15c+12d combine like terms

(11c-15c)+12d

-4c+12d factor

4(3d-c)

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3 years ago

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Quadratics need help making parabola

timama [110]

Answer:

The equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ , whose real vertex is $(x,y) = (2, -5.333)$ , not $(x,y) = (2, -5)$ .

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

$(x_{1}, y_{1}) = (-2, 0)$ , $(x_{2}, y_{2}) = (6, 0)$ , $(x_{3}, y_{3}) = (0, -4)$

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

$4\cdot a -2\cdot b + c = 0$ (1)

$36\cdot a + 6\cdot b + c = 0$ (2)

$c = -4$ (3)

The solution of this system is: $a = \frac{1}{3}$ , $b = - \frac{4}{3}$ , $c = -4$ . Hence, the equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ . Lastly, we must check if $(x,y) = (2, -5)$ belongs to the function. If we know that $x = 2$ , then the value of $y$ is:

$y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4$

$y = -5.333$

$(x,y) = (2, -5)$ does not belong to the function, the real point is $(x,y) = (2, -5.333)$ .

5 0

3 years ago