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iren [92.7K]
3 years ago
15

Evaluate -5x + 4 When x = -3

Mathematics
2 answers:
Julli [10]3 years ago
6 0

Hey there!

-5x + 4

= -5(-3) + 4

= 15 + 4

= 19

Therefore, your answer is: 19

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

erik [133]3 years ago
6 0

Answer:

19.

Step-by-step explanation:

-5x + 4

-5(-3) + 4

15 + 4

19

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Answer: 9.5/10 mile long

Step-by-step explanation:

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the width od a rectangle is 6 inches shorter than 3 times its length. the width of the rectangle is at most 45 millimeters. what
masya89 [10]
So the width can be written as W=3L-6. (L is length and W is width). The maximum the width could be is 45mm, so try to use 45mm in place of W. 45=3L-6. Add 6 to both sides and you get 51=3L. Divide both sides by 3 and you get 17=L, where L is the length.
8 0
3 years ago
X^5 + 243 divided by x+3
ch4aika [34]
-3   |  1   0   0   0   0   243  \longleftarrow coefficients of the polynomial you're dividing
.     |                                   \longleftarrow drop down the leading coefficient
- - - - - - - - - - - - - - - - - - -
.     |  1

On the left side of the frame, we write -3 because we're dividing by x+3=x-(-3). (The algorithm is followed for division of a polynomial by a factor of x-c.) Since we're dividing a degree 5 polynomial by a degree 1 polynomial, we expect to get a degree 4 polynomial.

-3   |  1   0   0   0   0   243
.     |      -3                         \longleftarrow multiply -3 by 1, write in next column, add to 0
- - - - - - - - - - - - - - - - - - -
.     |  1  -3

Repeat step for the remaining columns.

-3   |  1   0   0   0   0   243
.     |      -3   9
- - - - - - - - - - - - - - - - - - -
.     |  1  -3   9

-3   |  1   0   0      0   0   243
.     |      -3   9   -27
- - - - - - - - - - - - - - - - - - -
.     |  1  -3   9   -27

-3   |  1   0   0      0     0   243
.     |      -3   9   -27   81
- - - - - - - - - - - - - - - - - - - - -
.     |  1  -3   9   -27   81

-3   |  1   0   0      0     0    243
.     |      -3   9   -27   81  -243
- - - - - - - - - - - - - - - - - - - - -
.     |  1  -3   9   -27   81       0

which translates to

\dfrac{x^5+243}{x+3}=x^4-3x^3+9x^2-27x+81

So the bottom row of the frame gives the coefficients of each term in the quotient by descending order. Since the last coefficient is 0, this means the remainder upon division vanishes, i.e. x^5+243 is exactly divisible by x+3.

- - -

Another way to get the same result is to use a well-known result: for a+b\neq0,

a^5+b^5=(a+b)(a^4-a^3b+a^2b^2-ab^3+b^4)\implies\dfrac{a^5+b^5}{a+b}=a^4-a^3b+a^2b^2-ab^3+b^4

and in this case a=x and b=3
3 0
4 years ago
Is domain of f(x,y) = 1 + (4 -y^2)^1/2 open, closed or neither<br><br> is it bounded or unbounded?
omeli [17]

Answer:

Closed and Bounded.

Step-by-step explanation:

Hi there!

1) Let's start by finding the values in which the function is defined. Remember that this can be rewritten:

f(x,y) = 1 + (4 -y^2)^{\frac{1}{2}} \:id\:est\:f(x,y)=1+\sqrt{(4 -y^2)}

Since every quadratic root are defined for values \geq 0  then, this help us to understand that we need calculate what interval this Domain is:

4-y^{2} \geq 0\\4-y^{2}-4\geq -4\\-y^{2}\geq-4 \\y^{2}\leq4\\-2\leq y\leq 2

D=[-2,2]

2) Graphically speaking, the domain is closed. For the values -2 and 2 are included, and bounded.

Bounded functions have all of their points contained by some circle origin centered. Check it out below.

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