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vfiekz [6]
2 years ago
12

Marina has $145 to spend. She spends $68. 50 on jeans. T-shirts cost $12. 75. Write and solve an inequality to find the greatest

number of t-shirts she can buy
Mathematics
1 answer:
Kruka [31]2 years ago
6 0

Answer:

6

Step-by-step explanation:

145-68.50 = 76.50

76.20/12.75 = no of t-shirts she can buy

ans= 6

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Parabolas. Please help me
olganol [36]
  1. x² = 16 y
  2. x = 0
  3. (x + 4)² = 2/3 (y - 2)
  4. Gayle identifies that the vertex of the parabola is <u>(3, -1)</u> . The parabola opens <u>right</u>, and the focus is <u>3 </u>units away from the vertex. The directrix is <u>6 </u>units from the focus. The focus is the point <u>(6, -1)</u>. The directrix of the equation is <u>x = 0.</u>
  5. (y - 6)² = 4p (x - 3)

Step-by-step explanation:

1. First figure

We plot the parabola as given in the attached diagram.

As it is facing upwards, the equation goes as x² = 4py

where, p = 4 (refer the attached diagram)

x² = 4py

x² = 4 (4) y

∴, standard form of parabola is x² = 16 y

2. Second figure

(y + 3)² = 4 (x - 1)

Comparing the given equation with the standard form

(y - k)² = 4p (x - h)

Now from this equation we get to know that

h = 1

p = 1

Directrix is x = (h - p)

So, x = 0

3. Third figure

3x² + 24x - 2y + 52 = 0

3x² + 24x = 2y - 52

3 (x² + 8x) = 2 (y - 26)

(x² + 8x) = 2 (y - 26) / 3

Adding 16 on both sides,

x² + 8x + 16 = 2 (y - 26) / 3 + 16

(x + 4)² = 2/3 y - 52/3 + 16

(x + 4)² = 2/3 y - 4/3

(x + 4)² = 2/3 (y - 2)

4. Fourth figure

(y + 1)² = 12 (x - 3)

Comparing the given equation with the standard form

(y - k)² = 4p (x - h)

Now from this equation we get to know that

k = -1

h = 3

p = 3

Gayle identifies that the vertex of the parabola is <u>(3, -1)</u> . The parabola opens <u>right</u>, and the focus is <u>3 </u>units away from the vertex. The directrix is <u>6 </u>units from the focus. The focus is the point <u>(6, -1)</u>. The directrix of the equation is <u>x = 0.</u>

5. Fifth figure

Focus = (2, 6)

Directrix is x = 4

Therefore, it follows the standard form

(y - k)² = 4p (x - h)

Directrix is given by x = h-p = 4

Focus is given by (h + p, k) = (2, 6)

Solving for (h - p) = 4, (h + p) = 2

2 - p - p = 4

-2p = 2

p = -1

Hence, h = 3

Therefore, the standard form can be written as

(y - 6)² = 4p (x - 3)

7 0
3 years ago
What is 1000/41? <br><br><br> please help me
Alexeev081 [22]
1000/41 is 24.3902443 
6 0
3 years ago
Read 2 more answers
Last question pls help me
aalyn [17]

Answer:

Step-by-step explanation:

684 dollars

6 0
3 years ago
Please help it’s for a unit test!
notka56 [123]

Answer:

X=___ or x=8 or one of my other answers in the explanation! I hope this helped!

Step-by-step explanation:

it must be 4 because 4 goes on the side by +4 and its x+4 then the other side of the shape is 8 so that meaning x is 4 then 2x+1 is 2 times X + 1 so 2 times 4... 2,4,6,8 or 4+4=8 so then 2 times + 1 is 8 + 1 so 8+1=9 so 2x+1 might also be 12 because its on the other side of the problem/ shape so you use all that you have so you could maybe plus the other side not the problem side for making it a and c and stuff but also 8+12 so 8+12=20 then x might be 20 but you answer meaning X is 8. X=8 Brainliest? i tried really hard! I am not even near this grade whatever grade this is... Plz! Thanks! Thank you! Have a great day or week or weekend! i answer a lot of questions and help 114 people or something or more! Plz put 5 stars, a heart, and brainliest i would really appreciate that thank you! Enjoy the rest or your day! Bye! <3 :)

7 0
3 years ago
Solve for m. -19m − 19 = 4m − 4m + 19
dangina [55]
-19m-19 = 4m-4m+19
-19m-19 = 0+19
-19m = 19+19
-19m = 38
m = 38÷(-19)
m = -2
7 0
3 years ago
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