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xenn [34]
3 years ago
9

Use the IVT to prove that one solution to

{3} +x-5=0" alt="x^{3} +x-5=0" align="absmiddle" class="latex-formula"> is between x=1 and x=2.
Please show work and if your answer makes no sense I will report. Thanks
Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0

Let <em>f(x)</em> = <em>x</em>³ + <em>x</em> - 5. <em>f(x)</em> is a polynomial so it's continuous everywhere on its domain (all real numbers). Since

<em>f</em> (1) = 1³ + 1 - 5 = -3 < 0

and

<em>f</em> (2) = 2³ + 2 - 5 = 5 > 0

it follows by the intermediate value theorem that there at least one number <em>x</em> = <em>c</em> between 1 and 2 for which <em>f(c)</em> = 0.

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I need help with these 2 problems. Please and thank you :)
dsp73

Answer:

2,8

Step-by-step explanation:

the upper arrow goes down just like the other one so which every number you see its on go to that number and look up im at explaining but that is the answer for the 1st page

7 0
2 years ago
Nolan has some nickels and some dimes. He has no more than 19 coins worth no less than $1.30 combined. If Nolan has 5 nickels, d
Allushta [10]

Answer:

number of dimes 11 to 14

Step-by-step explanation:

given data

coin = 19

worth no less = $1.30

Nolan nickles = 5

solution

we convert 5 cent to dollars, it will be

5÷100 = $0.05

and

dime is worth 10 cents

so it will be 10 ÷ 100 = $0.1

so we consider here x as the number when nickels.

and we consider y as the number of dimes.

so here we can say

x + y ≤ 19      ..........................1

as here no less than $1.30 combined.

so

0.05 x + 0.1 y ≥ 1.3       ......................2

and

when Nolan has 5 nickels

put x = 5 in eq 1

5 + y ≤ 19  

y ≤ 19 - 5

y ≤ 14

and

now we put x = 5 in eq 2

0.05 × 5 + 0.1y ≥ 1.3

0.25 + 0.1y ≥ 1.3

0.1y ≥ 1.3 - 0.25

0.1y ≥ 1.05

y ≥ 10.5

so all possible values for the number of dimes 11 to 14

7 0
3 years ago
I need help!!! ASAP!!!! !!!!!
GalinKa [24]

Answer:

1.

Volume= 729cm^3

Height= 9cm^2

Area of Base= 81cm^2

2.

Volume=450m^3

Height= 3m^2

Area of Base=150m^2

3.

Volume= 480 cm^2

Area of base=75cm^2

Height= 8cm^2

4.

Volume =120in^3

Area of Base=20in^2

Height= 6in^2

Step-by-step explanation:

Volume = (length) Times (Width) Times (Height)

Area os base = (Length) Times (width)

3 0
2 years ago
Find the area of the trapezoid.
goldenfox [79]

Answer:

<h3>105m²</h3>

Step-by-step explanation:

AREA=

\frac{(a + b)}{2}  \times h

\frac{15 + 6}{2}  \times 10

=105m²

6 0
3 years ago
A firefighter uses equipment that weighs 60 pounds. The firefighter weighs x pounds. Which equation can be used to find t, the t
Pepsi [2]
T= x + 60

Hope this helps!
4 0
2 years ago
Read 2 more answers
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