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Dahasolnce [82]
3 years ago
7

Please help!!

Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

Answer:

15. X=23

16.<BCA=59

17. AD=8x-22

18. X=125

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How many times does the graph of 4x = 32 - x2 cross the x-axis?<br><br> 0<br><br> 1<br><br> 2
Yakvenalex [24]

Answer:

2

Step-by-step explanation:

4x = 32 - x2 would be much clearer if written as 4x = 32 - x^2.  Please use

" ^ " to indicate exponentiation.

Rewrite 4x = 32 - x^2 in the standard form of a quadratic:  x^2 + 4x - 32

Then the coefficients are a = 1, b = 4 and c = -32.

Find the discriminant.  It is b^2-4ac.  

Here, b^2-4ac = 4^2 - 4(1)(-32), or 16 + 128, or 144.

Because the discriminant is positive, we know immediately that this quadratic has two real, unequal roots.

So, the answer to this question is "the graph of 4x = 32 - x^2 cross the x-axis in two places."

4 0
3 years ago
Read 2 more answers
a zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group. What
elena-14-01-66 [18.8K]

The largest group that can go to the zoo is 23 members

Step-by-step explanation:

The given is:

  • A zoo charges an admission price of $85 for the first 12 members of a group and $6 for each additional member of the group
  • We need to find the largest group that can go to the zoo and spend less than $155 on admission

Assume that the number of members in the group is x

∵ There are x members in the group

∵ The zoo charges an admission price of $85 for the first 12

   members of a group and $6 for each additional member

   of the group

- Take 12 members from x and multiply the rest members by

   6 and then add 85 to the product

∴ The group will spend = 6(x - 12) + 85

∵ The group wants to spend less than 155 to go to the zoo

- use the symbol < between the expression above and 155

∴ 6(x - 12) + 85 < 155

- Simplify the left hand side

∴ 6x - 72 + 85 < 155

- Add like terms in the left hand side

∴ 6x + 13 < 155

- Subtract 13 from both sides

∴ 6x < 142

- Divide both sides by 6

∴ x < 23.67

- Take the largest integer less than 23.67

∵ 23 is the largest integer less than 23.67

∴ The group has 23 members

The largest group that can go to the zoo is 23 members

Learn more:

You can learn more about the inequalities in brainly.com/question/1465430

#LearnwithBrainly

6 0
2 years ago
PLEASE HELP! Screenshot attached
nadya68 [22]

Answer:

( x - 6 ) ( x - 3 ) (x + 4)

Step-by-step explanation:


6 0
3 years ago
The distance from home plate to left field in a model of a baseball stadium measures 16.4 in. The scale of the model to the actu
Katen [24]

Answer:

317

Step-by-step explanation:

Since the ratio is 1:232, multiply 232 by 16.4:

232*16.4=d

d=3804.8 in

Divide by 12 to find the feet

3804.8÷12=d

d=317.066

Round to the nearest foot

d=317

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3 years ago
A ladder is 80 inches tall. How tall is it in feet and inches?
Veseljchak [2.6K]

Answer:

6'8

Step-by-step explanation:

6 0
3 years ago
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