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Jet001 [13]
3 years ago
10

How many and what is the solution to 2(x − 1) + 3 = 3x − (x + 4)?

Mathematics
1 answer:
Licemer1 [7]3 years ago
5 0

Answer:

0=−5

Step-by-step explanation:

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Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew. How many sit-ups did Matthew complete?14 sit
REY [17]

Answer:

224 sit-ups

Step-by-step explanation:

multiply 56 by 4

8 0
3 years ago
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At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]
denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

f(x) = x^3-2x^2-4x+1 in the interval  [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

f(1) = 1-2-4+1 = -4\\f(0) = 1

The value

\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5

Find derivative for f

f'(x) = 3x^2-4x-4

Equate this to -5 to check mean value theorem

3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1

We find that 1/3 lies inside the interval (0,1)

4 0
3 years ago
The zookeeper has 9 cups of frog food. His frogs eat one half cup of frog each day. How many days can he feed the frogs before t
lubasha [3.4K]

Answer:

18 days

Step-by-step explanation:

It depends on the number of frogs, but if there is one frog then it would be...

9÷.5= 18 (18 half cups in 9 cups)

Therefore, one frog can eat for 18 days because it is only eating .5 a day.

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3 years ago
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Heidi has 6 pounds of tomatoes from her garden. She used 3/4 of all the tomatoes to make sauce and gave 2/3 of the rest of the t
iren2701 [21]

Answer:

She gives 16 ounces to her neighbor

Step-by-step explanation:

How much did you use to make sauce

6 * 3/4 = 18/4 =9/2 = 4.5  lbs

That leaves 6-4.5 = 1.5 lbs

She give 2/3 of this to her neighbor

1.5 * 2/3

Changing the decimal to a fraction

3/2 * 2/3 = 1

She gives 1  pound to her neighbor, but we want it in ounces

16 ounces equals 1 pound

She gives 16 ounces to her neighbor

6 0
3 years ago
–24 + 12d = 2(d – 3) + 22
iris [78.8K]

Answer:

d = 4

Step-by-step explanation:

4 0
3 years ago
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