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3 years ago

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1, find (f+g)(x)

Mathematics

2 answers:

GrogVix [38]3 years ago

5 0

The answer is 2x²+2x-2

kirill [66]3 years ago

3 0

Answer:

(f+g)(x)= 2x²+2x-2

Step-by-step explanation:

-x²+6x-1+3x²-4x-1 can be found by combining like terms.

2x²+2x-2

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Asaad originally practices on a rectangular football field with and area of 2x2 square yards.

Anna [14]

Answer:

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Step-by-step explanation:

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4 years ago

What is the measure of DBE? A. 1200 B. 60° C. 1800 D. 140° E. 1000

erik [133]

Answer: I am pretty sure the answer is A, 120.

Step-by-step explanation:

3 0

3 years ago

Im having difficulty pls help me as soon as possible bc im about to have a nervous break down thanks

ElenaW [278]

Answer:

A: 85%, 2 $\frac{1}{5}$ , 3.24, $\frac{19}{4}$

B: covert numbers into percent

Step-by-step explanation:

Part A

We have:

$\frac{19}{4}$ , 2 $\frac{1}{5}$ , 85%, 3.24 --> let's convert them into percentages like the 85, to determine which one is greatest/least:

85% --> 85% (already a percent)

$\frac{19}{4}$ --> to convert into percent: (19÷4) x 100 = 475%

2 $\frac{1}{5}$ --> convert first into improper fraction then into percent: (11/5) x 100 = 220%

3.24 --> multiply by 100: 3.24 x 100 = 324%

From least to greatest: 85%, 220%, 324%, 475%

= 85%, 2 $\frac{1}{5}$ , 3.24, $\frac{19}{4}$

Part B:

In part A, to determine the numbers from least to greatest, we rewrote the numbers all into percentage form by first converting into decimal form and then multiplying by 100.

7 0

1 year ago

The width of a container is 5 feet less than its height. Its length is 1 foot longer than its height. The volume of the containe

juin [17]

The height of container is 8 feet

Solution:

Let "w" be the width of container

Let "l" be the length of container

Let "h" be the height of container

The width of a container is 5 feet less than its height

Therefore,

width = height - 5

w = h - 5 ------ eqn 1

Its length is 1 foot longer than its height

length = 1 + height

l = 1 + h ---------- eqn 2

The volume of container is given as:

$v = length \times width \times height$

Given that volume of the container is 216 cubic feet

$216 = l \times w \times h$

Substitute eqn 1 and eqn 2 in above formula

$216 = (1 + h) \times (h-5) \times h\\\\216 = (h+h^2)(h-5)\\\\216 = h^2-5h+h^3-5h^2\\\\216 = h^3-4h^2-5h\\\\h^3-4h^2-5h-216 = 0$

Solve by factoring

$(h-8)(h^2+4h+27) = 0$

Use the zero factor principle

If ab = 0 then a = 0 or b = 0 ( or both a = 0 and b = 0)

Therefore,

$h - 8 = 0\\\\h = 8$

Also,

$h^2+4h+27 = 0$

Solve by quadratic equation formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$\mathrm{For\:} a=1,\:b=4,\:c=27:\quad h=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \:27}}{2\cdot \:1}$

$h = \frac{-4+\sqrt{4^2-4\cdot \:1\cdot \:27}}{2}=\frac{-4+\sqrt{92}i}{2}$

Therefore, on solving we get,

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

Thus solutions of "h" are:

h = 8

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

"h" cannot be a imaginary value

Thus the solution is h = 8

Thus the height of container is 8 feet

8 0

3 years ago

Mario Livio explained that the Fibonacci sequence is present in nature. What are

saveliy_v [14]

Answer:

Some of the examples of biological sequence of he Fibonacci sequence include:

O. petaled flowers like daisies

O. seeds on the head of a sunflower

O. change of seasons

O. bottom of a pine cone

Step-by-step explanation:

5 0

3 years ago