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photoshop1234 [79]
3 years ago
6

Fill in the blanks so that the resulting statement is true. If f is a polynomial function and​ f(a) and​ f(b) have opposite​ sig

ns, then there must be at least one value of c between a and b for which ​f(c)equals​_______ This result is called the ​_______ Theorem.
Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

f(c) equals zero

Intermediate Value Theorem

Step-by-step explanation:

Intermediate value theorem is one which states that f is a continuous function whose domain contains intervals which are a and b. It takes on any value between f(a) and f(b) at some point within interval. If we know the two values, we can pick any number between those two values and determine its function.

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Adrian has 75 coins consisting of quarters and dimes. The combined value of the coins is $10.20. How many of each type of coin d
Sergio [31]

Answer:

40 quarters and 2 dimes

Step-by-step explanation:

I did .25 (the amount of a quarter) and put it into a calculator adding.25 untill I got to 10 and then just 2 dimes bc 10+10 is 20

6 0
2 years ago
Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64
valentinak56 [21]

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

8 0
3 years ago
What is the value of y in the solution to the system of equations? 1/3x+1/4y=2 2x – 3y = –30 –8 –3 3 8
ludmilkaskok [199]

Answer:

8 i'm pretty sure

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Write two solutions for the following equation 2x+3y=24.
SVETLANKA909090 [29]

Answer: (12, 0) and (0, 8)

Step-by-step explanation:

This equation is in standard form. We can sub in a number for x to solve for y and vice versa.

Let's sub in 0 for x.

2x+3y=24\\2(0)+3y=24\\3y=24\\\frac{3y}{3} =\frac{24}{3} \\y=8

When x is 0 y is 8 giving us the coordinate (0, 8).

Now lets sub in 0 for y

2x+3(0)=24\\2x=24\\\frac{2x}{2} =\frac{24}{2} \\x=12

When y is 0 x is 12 giving us the coordinate (12, 0)

4 0
2 years ago
Read 2 more answers
Use distributive property to write an expression equivalent to 6(24)
Amiraneli [1.4K]
6(12+12)
6(20+4)
6(10+14)
4 0
3 years ago
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