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mote1985 [20]
3 years ago
7

Solve −x16+1≥−5x2, for x without multiplying by a negative number. Then, solve by multiplying through by −16.

Mathematics
1 answer:
dedylja [7]3 years ago
7 0

Answer:

−1.13348172≤x≤1.13348172

Step-by-step explanation:

For this problem

Add −5x2 to both sides of the inequality.

−x16 + 1 + 5x2≥0

Convert inequality to an equation.

−x16 + 1 + 5x2 = 0

Factor −x16 + 1 + 5x2

Set the factor equal to 00.

x16−5x2−1 = 0

x≈ − 1.13348172,1.13348172

so,

x≤ − 1,13348172

−1.13348172≤x≤1.13348172

x≥1.13348172

−1.13348172≤x≤1.13348172

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What expression is equivalent to <br> 2/3 X 5
Flura [38]

Answer:

1/3

Step-by-step explanation:

1/3 can be used as an expression that is exactly the same as 2/3x5.

When you multiply 2/3 x 5-

Look here if you need help solving 2/3 X 5: (2/3 x 5/1...is the simplest way to multiply the two, make sure to multiply 2 by 5 and 3 by 1 to get your answer.)(5x2=10...3x1=3)

-you get 10/3. This answer simplified is 1/3. So in the end, 1/3 is a great expression or answer to use as an equivalent to the equation 2/3 x 5.

Hoped this helped! :)

8 0
2 years ago
17. Admission prices to Cinema I to see a movie are $9.50 for an adult and $6.50 for a child. The admission charge at Cinema II
maksim [4K]

Answer:

a. 9.5x + 6.5(x+c) < 8   when c>0

b. Must be one child more than the no. of adults.

Step-by-step explanation:

For Cinema 1:

for adult = $9.50

for child = $6.50

For Cinema 2:

Per person regardless of age = $8.00

First of all, we will find out the condition when per person rates in both cinema are equal.

Assume x = no. of adults

y = no. of children

Rate per person in Cinema I = Rate per person in Cinema II

(9.5x + 6.5y)/(x+y)   =   8

9.5x + 6.5y = 8(x+y)

9.5x + 6.5y = 8x + 8y

9.5x-8x = 8y-6.5y

=> x = y

So rates are equal when no. of adults equals no. of children

For Cinema I to have better rates, no. of children should be atleast 1 more than the no. of adult. In this way the rate per person of Cinema I will be less than 8

Hence we form an inequality when y = x+c and c > 0

9.5x + 6.5(x+c) < 8   when c>0

Hence there must be 1 more children than the no. of adults attending Cinema I for it to be a better deal.

4 0
3 years ago
Read 2 more answers
If 112 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $and total receipts for the con
Brut [27]

Answer:

42 child and 70 adult

Step-by-step explanation:

Let a = number of adult tickets

c = number of child tickets

a+c = 112

2.25a + 1.75c = 231

Solve the first equation for a

a = 112-c

Substitute this into the second equation

2.25(112-c) + 1.75c = 231

Distribute

252 - 2.25c +1.75c = 231

Combine like terms

252 -.5c = 231

Subtract 252 from each side

252-252 -.5c = 231-252

-.5c = -21

Divide each side by -.5

-.5c/-.5 = -21/ -.5

c = 42

Now can find a

a = 112-c

a = 112-42

a = 70

4 0
3 years ago
Read 2 more answers
What is the domain and range of the function?​
Ierofanga [76]

Answer:

hello dude you see um this is complicated

Step-by-step explanation:

6 0
1 year ago
Y/2 - 1/5 = 2 - y/3 <br><br>please tell me this asap ​
IRISSAK [1]

Answer:

y=2 16/25

in other words, two and sixteen twenty-fifths

Step-by-step explanation:

y/2-1/5=2-y/3

Move the variables to one side and constants to the other

y/2+y/3=2+1/5

Multiply y/2 by 3/3 and y/3 by 2/2 so that they have a common denominator

3y/6+2y/6=2 1/5

5y/6=11/5

Cross multiply

66=25y

y=66/25

y=2 16/25

HOPE THIS HELPS!!!

4 0
3 years ago
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