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3 years ago

Rewrite the equation x = 65 - 60p by factoring the side that contains the variable p.

Mathematics

1 answer:

grigory [225]3 years ago

7 0

Answer: $x=5(13-12p)$

Step-by-step explanation:

Given equation: $x=65-60p$

$\\\Rightarrowx=(5\times13)-(5\times12)p$

Since 5 is the greatest common factor of 65 and 60 in the given expression.

Therefore, the above expression can be written as

$x=5(13-12p)$

Hence, by factoring the side that contains the variable p we have the expression $x=5(13-12p)$ .

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Let x² + 15x = 49 . What values make an equivalent number sentence after completing the square? Enter your answers in the box

Pavlova-9 [17]

Answer:

Step-by-step explanation:

15/2 = 7.5 and (7.5)^2 = 56.25 so

x^2 + 15x + 56.25 = 49 + 56.25

x^2 + 15x + 56.25 = 105.25.

5 0

2 years ago

Read 2 more answers

In Problems 23–30, use the given zero to find the remaining zeros of each function

Talja [164]

Answer:

x = 2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

$f(x) = x^3 - 4x^2+ 4x - 16$

One of the zeroes of the above polynomial is 2i, that is :

$f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0$

Thus, we can write

$(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Now, we check if -2i is a root of the given polynomial:

$f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0$

Thus, we can write

$(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Therefore,

$(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Dividing the given polynomial:

$\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4$

Thus,

$(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

X = 4 is a root of the given polynomial.

$f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0$

Thus, 2i, -2i and 4 are the roots of given polynomial.

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3 years ago

PLEASE HELPPP!!!!!! Write an equation of the line passing through point P that is perpendicular to the given line.

ArbitrLikvidat [17]

Answer:(d): y=ax+b (a≠0); (d1)y=-4x+13

because of (d)⊥(d1) --> a.(-4)=-1 --> a= $\frac{1}{4}$

(d): y= $\frac{1}{4}x$ +b. (d) pass through P(-1;-2) so we have

-2=(1/4).(-1)+b ---> b= $\frac{-7}{4}$

(d) y= $\frac{1}{4}x+ \frac{-7}{4}$

4 0

3 years ago

Convert 950 us dollars to brtish pund sterling. use 1 dollar= 0.62 british pund sterling

Vaselesa [24]

That would be 950 * 0.62 = 589 British pounds.

6 0

3 years ago

For brainiest:):):):):):):):)

Nookie1986 [14]

Answer:

Step-by-step explanation:

original price = 20

3 0

3 years ago