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Arturiano [62]
3 years ago
7

Travis milks his cows each morning. He has never gotten fewer than 3 gallons of milk; however, he always gets fewer than 9 gallo

ns of milk.
Write an inequality to represent each situation. Then, graph the solution.

Mathematics
1 answer:
Hatshy [7]3 years ago
6 0

Answer:

x-3 < 9

Step-by-step explanation:

if we know that the liters of milk are 3 or more and less than 9, we have

3=< x <9   where x are the liters of milk.

if we subtract 3 in inequality,

x-3 < 6  with x greater than or equal to 0 because we are talking about a quantity

to solve this inequality, we have to clear x

x < 6+3 = 9 So        x < 9  where x belongs to natural numbers

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Rewrite the equation in vertex form. then find the vertex of the graph. y=-3x^2-5x+1
amm1812

Answer: y = -3(x + \frac{5}{6})² + \frac{37}{12}, (-\frac{5}{6}, \frac{37}{12})

<u>Step-by-step explanation:</u>

First, you need to complete the square:

y   = -3x² - 5x + 1

<u> -1  </u>   <u>                -1  </u>

y - 1 = -3x² - 5x

y - 1 = -3(x² + \frac{5}{3}x

y - 1 + -3(\frac{25}{36}) = -3(x² + \frac{5}{3}x + \frac{25}{36})

           ↑                     ↓            ↑

                                  \frac{5}{3*2} = (\frac{5}{3*2})^{2}

y - 1 - \frac{25}{12} = -3(x + \frac{5}{6})²

y - \frac{12}{12} - \frac{25}{12} = -3(x + \frac{5}{6})²

y  - \frac{37}{12} = -3(x + \frac{5}{6})²

y = -3(x + \frac{5}{6})² + \frac{37}{12}

Now, it is in the form of y = a(x - h)² + k   <em>where (h, k) is the vertex</em>

Vertex = (-\frac{5}{6}, \frac{37}{12})

8 0
3 years ago
Which is greater. -7/12 or -5/9
ANEK [815]

Answer:

Damian here! (ノ◕ヮ◕)ノ*:・゚✧

Step-by-step explanation:

-5/9 is the answer

-5/9 >  -7/12

Hope this helps? :))

7 0
3 years ago
Big will's ice cream cone contains 16 grams of saturated fat. This is 80% of his total daily allowance. What big will's total da
Ahat [919]

Answer:

20 grams

Step-by-step explanation:

Let x be the total allowance of fat

16 grams is 80% of his total allowance

x * 80% = 16

Change percent to a decimal

x *.8 = 16

Divide each side by .9

.8x/.8 = 16/.8

x = 20

8 0
3 years ago
The first term of a geometric sequence is 4 and the multiplier, or ratio, is 2. what is the sum of the first 5 terms of the sequ
miss Akunina [59]
Hi,
There must have a bug on the site !!!


LoveYourselfFirst deleted your answer to the question 
"Hello,Answer 
=1244+8+16+32+64=124 6 minutes ago"
<span>The first term of a geometric sequence is 4 and the multiplier, or ratio, is 2. what is the sum of the first 5 terms of the sequence?
</span>
a_1=4\\&#10;a_2=2*a_1=8\\&#10;a_3=2*a_2=2^2*a_1=4*4=16\\&#10;a_4=2^3*a_1=8*4=32\\&#10;a_5=2^4*a_1=16*4=64\\&#10;&#10;4+8+16+32+64=124&#10;&#10;

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5 0
3 years ago
The lines on the graph below represent the cost of apples at four different stores.
katen-ka-za [31]
At Store A is the cost of apples the least. This is because it always has the lowest price for each pound compared to the other lines. Hope this helps!
5 0
3 years ago
Read 2 more answers
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