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tensa zangetsu [6.8K]
3 years ago
12

Claire Judice

Mathematics
1 answer:
Julli [10]3 years ago
4 0

Answer:

The values of 'x' are -1.2, 0, 0, -4i or 4i.

Step-by-step explanation:

Given:

The equation to solve is given as:

5x^5+6x^4+80x^3+96x^2=0

Factoring x^2 from all the terms, we get:

x^2(5x^3+6x^2+80x+96)=0

Now, rearranging the terms, we get:

x^2(5x^3+80x+6x^2+96)=0

Now, factoring 5x from the first two terms and 6 from the last two terms, we get:

x^2(5x(x^2+16)+6(x^2+16))=0\\x^2(x^2+16)(5x+6)=0

Now, equating each factor to 0 and solving for 'x', we get:

x^2=0\\x=0\ and\ 0\\\\5x+6=0\\x=\frac{-6}{5}=1.2\\\\x^2+16=0\\x^2=-16\\x=\sqrt{-16}=\pm 4i

There are 3 real values and 2 imaginary values. The value of 'x' as 0 is repeated twice.

Therefore, the values of 'x' are -1.2, 0, 0, -4i or 4i.

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If the Cost price of the an article is greater than the selling price, we have a ____?​
Olegator [25]

Answer:

loss

Step-by-step explanation:

Selling an item for less than was paid gives a loss

Selling an item for more than was paid gives a profit

4 0
3 years ago
Which choice is the equation of a line that passes through (9, -3) and is parallel to the line represented by this equation? y=5
miskamm [114]

Answer:

y+3=\frac{5}{3}(x-9)  or  y=\frac{5}{3}x-18

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

we have

y=\frac{5}{3}x-4

therefore

The slope m of the line parallel to the given line is

m=\frac{5}{3}

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=\frac{5}{3}

point\ (9,-3)

substitute

y+3=\frac{5}{3}(x-9) ----> equation of the line in point slope form

step 3

Find the equation of the line in slope intercept form

y=mx+b

we have

y+3=\frac{5}{3}(x-9)

Isolate the variable y

y+3=\frac{5}{3}x-15

y=\frac{5}{3}x-15-3

y=\frac{5}{3}x-18

7 0
3 years ago
A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. the store p
vovangra [49]
The answer is: 16
Explanation:
Notepads of the same color = 4 (we have 4 colors). As we have two sizes then total for the same color=4*2=8Notepads of the different colors = 4C3=4 (we should choose 3 different colors out of 4). As we have two sizes then total for the different color=4*2=8Total=8+8=16
3 0
3 years ago
Ok help it’s for a grade I will give Brainly if right
pishuonlain [190]

Answer: 15h^2 + 26h -21

Step-by-step explanation:

Use the foil method. Multiply in this order

First, 5h*3h= 15h^2

outer, 5h*7 = 35h

inner, -3*3h= -9h

last, -3*7= -21

Now add them all together

15h^2 + 35h + -9h + -21

Combine like terms

15h^2 + 26h -21

5 0
3 years ago
Mary owns a coffee shop. She charges $4.50 for a cup of coffee, and it costs her $1.25 to make each cup of coffee plus a $75 a d
Elena L [17]

Answer:

Approximately 23 cups of coffee

Step-by-step explanation:

Break even = Fixed cost/Selling price - variable cost

Fixed cost = $75

Selling price = $4.50

Variable cost = $1.25

Break even = $75/$4.50 - $1.25

= 23.076923077

Approximately = 23

Therefore, Mary has to sell approximately 23 cups of coffee daily in order to break evem

5 0
3 years ago
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