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krek1111 [17]
3 years ago
10

Solve the inequality.

geq 2" alt="p + 1/4 \geq 2" align="absmiddle" class="latex-formula">

(Plz help)
Mathematics
1 answer:
Art [367]3 years ago
6 0

Answer:

p ≥ 7/4

Step-by-step explanation:

p +1/4 - (1/4) ≥ 2 - (1/4)

p ≥ 7/4

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A delivery service charges $1.25 for
choli [55]

Answer: 6\ \text{miles}

Step-by-step explanation:

Given

A delivery service charge \$1.25 for each delivery

and an additional \$0.75 for each mile traveled

Suppose, x miles are covered

The charge is given by

\Rightarrow 5.75=1.25+0.75x\\\Rightarrow 4.5=0.75x\\\Rightarrow x=6\ \text{miles}

Therefore, driver traveled 6 miles for delivery

8 0
3 years ago
Carry out three steps of the Bisection Method for f(x)=3x−x4 as follows: (a) Show that f(x) has a zero in [1,2]. (b) Determine w
ELEN [110]

Answer:

a) There's a zero between [1,2]

b) There's a zero between [1.5,2]

c) There's a zero between  [1.5,1.75].

Step-by-step explanation:

We have f(x)=3^x-x^4

A)We need to show that f(x) has a zero in the interval [1, 2]. We have to see if the function f is continuous with f(1) and f(2).

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(2)=3^2-(2)^4=9-16=(-7)

We can see that f(1) and f(2) have opposite signs. And f(1)>f(2) and the function is continuous, this means that exists a real number c between the interval [1,2] where f(c)=0.

B)We have to repeat the same steps of A)

For the subinterval [1,1.5]:

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13

f(1) and f(1.5) have the same signs, this means there's no zero in the subinterval [1,1.5].

For the subinterval [1.5,2]:

f(x)=3^x-x^4\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13\\\\f(2)=3^2-(2)^4=9-16=(-7)

f(1.5) and f(2) have opposite signs, this means there's a zero between the subinterval [1.5,2].

C)We have to repeat the same steps of A)

For the subinterval [1,1.25]:

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(1.25)=3^1^.^2^5-(1.25)^4=3.94-2.44=1.5

f(1) and f(1.25) have the same signs, this means there's no zero in the subinterval [1,1.25].

For the subinterval [1.25,1.5]:

f(x)=3^x-x^4\\\\f(1.25)=3^1^.^2^5-(1.25)^4=3.94-2.44=1.5\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13

f(1.25) and f(1.5) have the same signs, this means there's no zero in the subinterval [1.25,1.5].

For the subinterval [1.5,1.75]:

f(x)=3^x-x^4\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13\\\\f(1.75)=3^1^.^7^5-(1.75)^4=6.83-9.37=(-2.54)

f(1.5) and f(1.75) have opposite signs, this means there's a zero between the subinterval [1.5,1.75].

For the subinterval [1.75,2]:

f(x)=3^x-x^4\\\\f(1.75)=3^1^.^7^5-(1.75)^4=6.83-9.37=(-2.54)\\\\f(2)=3^2-(2)^4=9-16=(-7)

f(1.75) and f(2) have the same signs, this means there isn't a zero between the subinterval [1.75,2].

The graph of the function shows that the answers are correct.

6 0
3 years ago
When the county fair opened its gates, 68 people entered the fairgrounds. After one hour, there were 1.5 times as many people on
pickupchik [31]

Answer:

y=68(1.5)^(x-1)

Step-by-step explanation:

8 0
3 years ago
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The tree diagram represents an experiment consisting two trials
zavuch27 [327]

Answer:

0.35

Explanation:

  • P ( B and D )
  • 0.5 * 0.7
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<u>Follow the branch B and then branch D</u>

  • multiply both the selected probabilities to calculate total probability.

6 0
2 years ago
Read 2 more answers
Mr. Yang has 61 rubber stamps. He wants to give the same number of stamps to each of his 9 students. If he gives away as many st
Eva8 [605]
7 stamps. He will give 6 stamps to them each and there will be 7 left
6 0
3 years ago
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