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3 years ago

Evaluate the expression, given functions f and h: f(x) = 3x − 1, h(x) = −2x2 + 3x − 7.

Mathematics

1 answer:

Aleksandr [31]3 years ago

6 0

Answer:

Your answer is 27

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Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le

Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes =68

$Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}$

$68= \frac{\text{Sum of all lengths}}{7}$

$68 \times 7 =\text{a+b+c+d+e+f+g}$

$476=\text{a+b+c+d+e+f+g}$ --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

$476=x+x+x+84+84+84+4x+14$

$476=7x+266$

$\frac{476-266}{7}=x$

$30=x$

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

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3 years ago

What is the value of (8 – 3)!? A. 336 B. 40,314 C. 5 D. 120

Tom [10]

Anything that is inside the perenthasis are just like a regular math problem, so your answer should be:
C. 5

5 0

3 years ago

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(PLEASE HELP ASAP) Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He

azamat

He can use 14 cans of blue and 20 cans of yellow because blue goes up by 2 and yellow goes up by 3 each time hope this helped (mark brainliest?)

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2 years ago

TEST quest helpppp 30pts

enyata [817]

Answer:

i think it is 1

Step-by-step explanation:

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3 years ago

5.65 times 3.4 estimate

lidiya [134]

We can round 5.65 up to 6 and 3.4 down to 3.
3 * 6 = 18
now let's see how close our estimate is to the real answer
5.65 * 3.4 = 19.21
Our answer was pretty close to the real answer!

Hope I helped!
~ Zoe

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3 years ago

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