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BaLLatris [955]
3 years ago
12

Directions: Simplify each algebraic expression by combining like terms.

Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0

Answer:

Step-by-step explanation:

1) 7x^2-5x+10x-8x=7x^2+5x-8x=7x^2-3x

2) -6a^3+5a^3+2a-a=-a^3+2a-a=-a^3+a

3) -4(x+5)-5(x-1)=-4x-20-5x+5=-9x-20+5=-9x-15

4) -a+5b-6a+5(a+1)=-7a+5b+5a+5=-2a+5b+5

5) 18x^4-3x^3-2x^3+x^2-10+6

=18x^4-5x^3+x^2-4

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Whoops i forgot to read the lesson :P 30 points
andriy [413]

Step-by-step explanation:

I'll do 2.

Alright,Alex let say we have factored a quadratic into two binomial, for example

(5x + 3)(6x - 4)

If we set both of those equal to zero

(5x + 3)(6x + 4) = 0

We can used the zero product property in this case to find the roots of the quadratic equation.

This means that

if  \: ab = 0 \: then \: a = 0 \: and \: b = 0

This means we set each binomal equal to zero to find it root.

5x + 3 = 0

5x =  - 3

x =  -  \frac{3}{5}

6x + 4 = 0

6x =  - 4

x =  -  \frac{2}{3}

So our roots are negative 3/5 and negative 2/3 using zero product property

6 0
2 years ago
Type ALL the steps of writing the equation of the line given the slope of the line is −4 and a point on the line is (−2,1).
Mars2501 [29]

Answer:

y = -4x - 7

Step-by-step explanation:

we use the slope intercept formula given by; y = mx + b

b = y intercept, which is when x = 0

m = slope

so they tell us the slope.. we just need to find b - the y intercept.

y = mx + b

plug in your coordinates (-2,1)

1 = -4(-2) + b

1 = 8 + b

1 - 8 = b

-7 = b

put it all together.

y = -4x - 7

3 0
3 years ago
How come lemon washing up liquid contains real lemons, but lemon juice contains artificial flavorings.
attashe74 [19]

Answer:

Lemon juice is acidic and therefore is deemed unsafe to consume this can start to destroy the pancreas and other major arteries if not removed quickly

Step-by-step explanation:

3 0
3 years ago
A skull cleaning factory cleans animal skulls of​ deer, buffalo and other types of animals using​ flesh-eating beetles. the fact
Shtirlitz [24]
The solution for this problem is:
The population is 500 times bigger since 8000/24 = 500. The population after t days is computed by:P(t) = P₀·4^(t/49) 
Solve for t: 8000 = 8·4^(t/49) 1000 = 4^(t/49) log₄(1000) = t/49t = 49log₄(1000) ≅ 244 days
8 0
3 years ago
Eddie built the ramp shown to train his puppy to do tricks. What is the surface area of the ramp. The dimensions are 20,20,20,23
mamaluj [8]

Answer:

3775 in²

Step-by-step explanation:

The surface area of the ramp :

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 25 * 23 = 575 in²

Bottom rectangle = 60 * 23 = 1380 in²

For the trapezium: (front and rear)

1/2 (base 1 + base 2) * height

Base total = 20+ 20+ 20= 60

1/2(60)*15 = 450 in²

Total surface Area :

(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²

6 0
3 years ago
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