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mars1129 [50]
3 years ago
11

Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).

Mathematics
1 answer:
Tamiku [17]3 years ago
3 0
Our quadratic polynomial function is:

f(x) = 4x^2 + 2x + 5

our linear binomial form is:
x - a = -2
hence:
a = x + 2

and so we have:
f(x) = 4x^2 + 2x + 5
f(a) = 4(x + 2)^2 + 2<span>(x + 2)</span> + 5
= 4(x^2 + 4x + 4) + 2x + 4 + 5
f(a) = 4x^2 + 18x + 25

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What is M when R = 200? *

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3 years ago
What is the density of an object that has a mass of 20 grams and has a length of 8cm and a width of 2cm and a height of 5cm????
Evgen [1.6K]

Answer:

Volume is the amount of space an object occupies. To determine the volume of any rectangular object, multiply the measurements of length, width, and height.

Volume = Length × Width × Height

Calculate the volume of this rectangular object.

Length = 3 cm

Width = 3 cm

Height = 12 cm

Volume = l × w × h

Volume = 3 cm × 3 cm × 12 cm

Volume = 108 cm3

Notice that the units for volume are cubic centimeters (cm3).

So 8 ÷ 25 = 0.32 and the units would be g/ cm3 . Other units of density could be g/L or g/ml or mg/ cm3 or kg/ m3 and the list could go on and on. Any unit of mass divided by any unit of volume.

Step-by-step explanation:

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3 years ago
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katrin [286]

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-31 1/3 (answer choice 1)

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5 0
3 years ago
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Michelle family drove 272.48 miles. Michelle calculated that they drove 26.2 miles per gallon. of gas. how many gallon of gasoli
Tcecarenko [31]
It's 10.4 because you divide 272.48 by 26.2 and get 10.4
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3 years ago
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What is the solution to the equation below? log6 4x 2 - log6 x=2
Natali [406]
Log[6] * 4x2 + -1log[6] * x = 2

Reorder the terms for easier multiplication:
6 * 4glo * x2 + -1log[6] * x = 2

Multiply 6 * 4
24glo * x2 + -1log[6] * x = 2

Multiply glo * x2
24glox2 + -1log[6] * x = 2

Reorder the terms for easier multiplication:
24glox2 + -1 * 6glo * x = 2

Multiply -1 * 6
24glox2 + -6glo * x = 2

Multiply glo * x
24glox2 + -6glox = 2

Reorder the terms:
-6glox + 24glox2 = 2

Solving
-6glox + 24glox2 = 2

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Reorder the terms:
-2 + -6glox + 24glox2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -6glox + 24glox2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -3glox + 12glox2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -3glox + 12glox2)' equal to zero and attempt to solve:

Simplifying
-1 + -3glox + 12glox2 = 0

Solving
-1 + -3glox + 12glox2 = 0

Move all terms containing g to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + -3glox + 1 + 12glox2 = 0 + 1

Reorder the terms:
-1 + 1 + -3glox + 12glox2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3glox + 12glox2 = 0 + 1
-3glox + 12glox2 = 0 + 1

Combine like terms: 0 + 1 = 1
-3glox + 12glox2 = 1
3 0
3 years ago
Read 2 more answers
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