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Mariulka [41]
3 years ago
7

let a and b be rational the difference between a and b is sometimes rational always rational or never rational

Mathematics
1 answer:
Paul [167]3 years ago
6 0
<span>The difference between two rational numbers always is a rational number...

Hope it helps !!!

</span>
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A pizza dlivery car can travel 11 km for every gallon of gasoline it uses. If the driver's average speed is 28 km/h, how many ho
Svetlanka [38]

Answer:

13.75 hours

Step-by-step explanation:

First, find how many km the driver can travel:

11(35)

= 385

Then, divide this by 28 to find how many hours the driver can travel:

385/28

= 13.75

So, the driver can travel 13.75 hours

8 0
3 years ago
PLEASE ANSWER! Given the functions f(x) = x2 + 6x - 1, g(x) = -x2 + 2, and h(x) = 2x2 - 4x + 3, rank them from least to greatest
Ratling [72]

Answer:

<em>he rank from least to great based on their axis of symmetry: </em>

0, 1, -3 ⇒ g(x), h(x), f(x)

So, <em>option C</em> is correct.

Step-by-step explanation:

A quadratic equation is given by:

ax^2+bx+c =0

Here, a, b and c are termed as coefficients and x being the variable.

<em>Axis of symmetry can be obtained using the formula</em>

x = \frac{-b}{2a}

Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:

f(x) = x^2 + 6x - 1

⇒ a = 1, b = 6 and c = -1

g(x) = -x^2 + 2

⇒ a = -1, b = 0 and c = 2

h(x) = 2^2 - 4x + 3

⇒ a = 2, b = -4 and c = 3

So, axis of symmetry in f(x) = x^2 + 6x - 1 will be:

x = \frac{-b}{2a}

x = -6/2(1) = -3

and axis of symmetry in g(x) = -x^2 + 2 will be:

x = \frac{-b}{2a}

x = -(0)/2(-1) = 0

and axis of symmetry in h(x) = 2^2 - 4x + 3 will be:

x = \frac{-b}{2a}

x = -(-4)/2(2) = 1

<em>So, the rank from least to great based on their axis of symmetry: </em>

0, 1, -3 ⇒ g(x), h(x), f(x)

So, <em>option C</em> is correct.

<em>Keywords: axis of symmetry, functions</em>

<em>Learn more about axis of symmetry from brainly.com/question/11800108</em>

<em>#learnwithBrainly</em>

7 0
4 years ago
Can someone please help me I know this isn't math but please help!
Monica [59]
The image wont load. could you maybe type it out?
7 0
3 years ago
What is the image of (2,-2) after a dilation by a scale factor of 5 centered at the<br> origin?
ss7ja [257]

Answer:

(10, -10)

Step-by-step explanation:

since the point is at the origin, simply multiply.

2 * 5 = 10

-2 * 5 = -10

3 0
3 years ago
Read 2 more answers
What is the midpoint of np if N(10, -14) and P(-16, -4)?
Virty [35]

Answer:

<h3>Midpoint = (-3 ,-9)</h3>

Step-by-step explanation:

\\Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(10,\:-14\right),\:\\\left(x_2,\:y_2\right)=\left(-16,\:-4\right)\\\\=\left(\frac{-16+10}{2},\:\frac{-4-14}{2}\right)\\\\=(\frac{-6}{2}, \frac{-18}{2}\\  \\Simplify\\\\=\left(-3,\:-9\right)

3 0
3 years ago
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