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Ket [755]
2 years ago
5

Robbie, Jennie, Willie, and Kylie played a numbers game. Jennie picked a number but did not tell her friends. Robbie and Willie

both picked a number as well, and Jennie described their numbers like this to Kylie.
Robbie picked a number that is nine more than four times Jennie's number.
Willie picked a number that is two less than three times Robbie's number.

Deciding to call her number, n, Jennie asked Kylie to write an expression that describes Willie's number.

Kylie came up with two expressions that equal Willie's number.

What are the equations?
Mathematics
2 answers:
ehidna [41]2 years ago
7 0
The answer is 20 bc bob likes to eat eat eat eat eat eta eat eat eat
kenny6666 [7]2 years ago
7 0

Answer:

1. 3(4n+9)-2

2. 3*13n-2

Step-by-step explanation:(*)This symbol that looks like a little star means multiplication.


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The standard form of the equation of a parabola is x = y2 + 10y + 22. What is the vertex form of the equation?
iVinArrow [24]

From the conics form of the equation, shown above, I look at what's multiplied on the unsquaredpart and see that 4p = 4, so p = 1. Then the focus is one unit above the vertex, at (0, 1), and the directrix is the horizontal line y = –1, one unit below the vertex.

vertex: (0, 0); focus: (0, 1); axis of symmetry: x = 0; directrix: y = –1

Graph y2 + 10y + x + 25 = 0, and state the vertex, focus, axis of symmetry, and directrix.

Since the y is squared in this equation, rather than the x, then this is a "sideways" parabola. To graph, I'll do my T-chart backwards, picking y-values first and then finding the corresponding x-values for x = –y2 – 10y – 25:

To convert the equation into conics form and find the exact vertex, etc, I'll need to convert the equation to perfect-square form. In this case, the squared side is already a perfect square, so:

y2 + 10y + 25 = –x 
(y + 5)2 = –1(x – 0)

This tells me that 4p = –1, so p = –1/4. Since the parabola opens to the left, then the focus is 1/4 units to the left of the vertex. I can see from the equation above that the vertex is at (h, k) = (0, –5), so then the focus must be at (–1/4, –5). The parabola is sideways, so the axis of symmetry is, too. The directrix, being perpendicular to the axis of symmetry, is then vertical, and is 1/4 units to the right of the vertex. Putting this all together, I get:

vertex: (0, –5); focus: (–1/4, –5); axis of symmetry: y = –5; directrix: x = 1/4

Find the vertex and focus of y2 + 6y + 12x – 15 = 0

The y part is squared, so this is a sideways parabola. I'll get the y stuff by itself on one side of the equation, and then complete the square to convert this to conics form.

y2 + 6y – 15 = –12x 
y2 + 6y + 9 – 15 = –12x + 9 
(y + 3)2 – 15 = –12x + 9 
(y + 3)2 = –12x + 9 + 15 = –12x + 24 
(y + 3)2 = –12(x – 2) 
(y – (–3))2 = 4(–3)(x – 2)

Then the vertex is at (h, k) = (2, –3) and the value of p is –3. Since y is squared and p is negative, then this is a sideways parabola that opens to the left. This puts the focus 3 units to the left of the vertex.

vertex: (2, –3); focus: (–1, –3)

6 0
1 year ago
Which value represents |7.8|?
nika2105 [10]
Since absolute value is just taking the positive value of whatever you put in the function, it is 7.8 as well. Also, absolute value can be described as the distance from 0 on the number line. 7.8 is 7.8 "units" away from 0, thus meaning it is equal to 7.8.
8 0
2 years ago
Which ordered pair is generated from the equation shown below? y = 3x - 1 A. (6, 18) B. (6, 17) C. (4, 12) D. (9, 8)
geniusboy [140]

Answer:

B 6,17

Step-by-step explanation: If you plug in the value of x from each of the choices only b gives the correct value of y. If you put 6 in the place of x in y= 3x-1    then y= 18-1 which is 17, and it does say 17 in 6,17.

7 0
2 years ago
Three cities lie along a perfectly linear route: Springfield, Clarksville, and Allentown. Molly lives in Springfield and works i
Ilya [14]
When it says that the cities are routed linearly, it means that these cities are located right next to each other. From the left, the order is Springfield, Clarksville, then Allentown. You have details on the number of gallons and the mileage. To get the distance travelled, just multiply the mileage with the gallons, to cancel out gallons leaving you with the distance in miles.

Now, since Molly travelled from Springfield to Allentown, the total distance she covered is the distance Edward travelled and the unknown distance between Springfield and Clarksville, denoted as x in the picture. So, the equation is then

Molly's distance = x + Edgar's distance
26 miles/gal(2 gal) = x + 17 miles/gal(1 gal)
x = 35 miles

4 0
2 years ago
- If 2x2 + 8y = 121.5 and x2 - 8y = 121.5, then x =<br> 9<br> 6.36<br> 16<br> 7
Natalija [7]

Step-by-step explanation:

2x² + 8y = 121.5

x² - 8y = 121.5

Add the equations together to eliminate the y terms.

3x² = 243

x² = 81

x = 9

4 0
2 years ago
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