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zlopas [31]
3 years ago
13

The equation y= ax? describes a parabola. If the value of a is positive, which

Mathematics
1 answer:
blsea [12.9K]3 years ago
7 0

Answer:

upwards or to the right

Step-by-step explanation:

If the a value is positive, then the parabola opens upward or to the right, and if the a value's negative, it opens down or to the left. Hope this helps!

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When we use a number line, we ask ourselves where do we place the....?
Charra [1.4K]
0 or dot, depending on what course you are taking

8 0
3 years ago
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A number is 5 more than 3 times another number. The sum of the two numbers is 33. As an equation, this is written x + 3x + 5 = 3
Cloud [144]

Answer:

x=7, so the smaller number is 7 and the larger number is 21.

Step-by-step explanation:

x=3x+5=33

Let x=3:

(3)+3(3)+5=3+9+5=17, not 33, so x is not 3

Let x=5:

(5)+3(5)+5=5+15+5=25, not 33, so x is not 5

Let x=7:

(7)+3(7)+5=7+21+5=33, so x=7

Let x=9:

(9)+3(9)+5=9+27+5=41, not 33, so x is not 9

Therefore x=7. Because x represents the smaller number, and the larger number is 3 times the smaller number, the smaller number is 7 and the larger number is 3(7)=21.

6 0
3 years ago
Read 2 more answers
A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The
liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

y =Ae^{-kt}\cos(2\pi ft)     .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

y =0.6e^{-1.8t}\cos(2\pi 105t)  

or

y =0.6e^{-1.8t}\cos(210\pi t)  

(a)

The trigonometric function that models the motion of the string is given by:

y =0.6e^{-1.8t}\cos(210\pi t)

(b)

Determine the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24

Using graphing calculator for the equation

y =0.6e^{-1.8x}\cos(210\pi x)

let x = t (time in sec)  

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24 is, 0.5 sec


4 0
3 years ago
Rewrite in simplest terms: 9(m-9)-4(10m+2)9(m−9)−4(10m+2)
trasher [3.6K]

The required simplified expression for 9(m - 9) - 4(10m + 2) is  -31m - 90.

Given that,
To rewrite in simplest terms: 9(m-9)-4(10m+2).


<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Question asked to simplify the term 9(m-9)-4(10m+2).

= 9(m - 9) - 4(10m + 2)
= 9m - 81 - 40m - 8
=  -31m - 90

Thus, the required simplified expression for 9(m - 9) - 4(10m + 2) is  -31m - 90.

Learn more about simplification here: brainly.com/question/12501526

#SPJ1

7 0
2 years ago
Which number<br> not in scientific notation?<br> 6x10^24<br> 2.01x10^-2<br> 1.3x10^-4<br> 0.5x10^3
klasskru [66]

Answer:

It's 0.5x10^3

Step-by-step explanation: A number in scientific notation has to be between 1 an 10. It can't be less than one or 10.

7 0
3 years ago
Read 2 more answers
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