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4 years ago

Simplify the algebraic expression y²+11y-6y+y²

Mathematics

2 answers:

Radda [10]4 years ago

8 0

Answer:

2y^2 + 5y

Step-by-step explanation:

the two y squared add up to 2 y squared

11y - 6y = 5y

lubasha [3.4K]4 years ago

3 0

The simplified expression should be y^4 + 17y

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12x + 3b = 180 pls help

pishuonlain [190]

Answer:

x=15-b/4

b=60-4x

6 0

3 years ago

A slide reaches a vertical height of 16 feet and makes an angle of 25° with the ground. How long is the slide

valkas [14]

Answer:

17.7 feet

Step-by-step explanation:

law of sines:

x = length of slide

base of slide forms a 90 degree angle with the ground

to find the number of degrees in the third angle, subtract 115 from 180

sin 65°/16 = sin 90°/x

16 = sin 65°(x)

x = 16/(sin 65°) ≈ 17.7 feet

6 0

3 years ago

For income tax purposes, a man uses a method called straight-line depreciation to show the loss in value of a copy machine he

PtichkaEL [24]

Answer: $500

Step-by-step explanation:

The vertical axis of the graph represents the value of the copy machine and the horizontal axis represents the years.

Using the line, one can see that in the first year, the value of the machine went from $7,000 to $6,500.

The loss in value is therefore;

= 7,000 - 6,500

= $500

<em>The needed graph is attached. </em>

6 0

3 years ago

A graph is shown below: A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9

Travka [436]

(0, 36) would be the point on the y axis, so 36 is the y-intercept, or the b value in the equation, y = mx + b.
(12,0) is the x-intercept, so we know the line has a negative slope.
The equation for these points would be:
y = -3x + 36
LETTER B

7 0

3 years ago

(1/x-4)• (-x^2+9x-20/x+2)<br> (Multiplying And Dividing Rational Expressions)

IRISSAK [1]

ANSWER

$\frac{5 - x}{x + 2}$

EXPLANATION

We want to simplify the rational expression:

$( \frac{1}{x - 4)} )( \frac{ - {x}^{2} + 9x - 20}{x + 2} )$

We split the middle term to obtain:

$( \frac{1}{x - 4)} )( \frac{ - {x}^{2} + 5x + 4x- 20}{x + 2} )$

We now factor to obtain;

$( \frac{1}{x - 4)} )( \frac{-x(x - 5) + 4(x - 5)}{x + 2} )$

$( \frac{1}{x - 4)} )( \frac{(x - 5)(4 - x)}{x + 2} )$

$( \frac{1}{x - 4)} ) ( \frac{ - (x - 5)(x - 4)}{x + 2} )$

We cancel the common factors to get;

$\frac{ - (x - 5)}{x + 2}$

$= \frac{5 - x}{x + 2}$

7 0

4 years ago