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3 years ago

Factor the binomial: x^2 - 8x

Mathematics

2 answers:

Xelga [282]3 years ago

4 0

Answer:

x(x - 8)

Step-by-step explanation:

First, factor out an x from both terms:

x² - 8x

x(x - 8)

So, the factored form of the binomial is x(x - 8)

svetoff [14.1K]3 years ago

3 0

Answer:

x2+8x+15=(x+5)(x+3)

Step-by-step explanation:

Trinomials have the form: ax2+bx+c. When factoring trinomials where a=1

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A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved. Brine containing 1 2 pound o

sertanlavr [38]

Answer:

Step-by-step explanation:

From the given information:

$R_{in} = ( \dfrac{1}{2} \ lb/gal) (6)\ gal /min \\ \\R_{in} = 3 \ lb/min$

Given that the solution is pumped at a slower rate of 4gal/min

Then:

$R_{out} = \dfrac{4A}{100+(6-4)t}$

$R_{out}= \dfrac{2A}{50+t}$

The differential equation can be expressed as:

$\dfrac{dA}{dt}+ \dfrac{2}{50+t}A = 3 \ \ \ ... (1)$

Integrating the linear differential equation; we have::

$\int_c \dfrac{2}{50 +t}dt = e^{2In |50+t|$

$\int_c \dfrac{2}{50 +t}dt = (50+t)^2$

multiplying above integrating factor fields; we have:

$(50 +t)^2 \dfrac{dA}{dt} + 2 (50 + t)A = 3 (50 +t)^2$

$\dfrac{d}{dt}\bigg [ (50 +t)^2 A \bigg ] = 3 (50 +t)^2$

$(50 + t)^2 A = (50 + t)^3+c$

A = (50 + t) + c(50 + t)²

Using the given conditions:

A(0) = 20

⇒ 20 = 50 + c (50)⁻²

-30 = c(50) ⁻²

c = -30 × 2500

c = -75000

A = (50+t) - 75000(50 + t)⁻²

The no. of pounds of salt in the tank after 35 minutes is:

A(35) = (50 + 35) - 75000(50 + 35)⁻²

A(35) = 85 - $\dfrac{75000}{7225}$

A(35) =69.6193 pounds

A(35) $\simeq$ 70 pounds

Thus; the number of pounds of salt in the tank after 35 minutes is 70 pounds.

6 0

3 years ago

Last spring, Bob built a rectangular pen for his pigs that measured 6 feet long and 4.5 feet wide. He wants to enlarge the pig p

Feliz [49]

A= h•w

6+2 = 8 feet long
4.5+1.5= 6 feet wide

8*6= 48 ft

Answer: 48 feet

3 0

3 years ago

Read 2 more answers

Solve the equation or formula for the indicated variable. S=3r^4t, for t

algol [13]

we are given

$S=3r^{4t}$

Since, we have to solve for t

so, we will isolate t on anyone side

divide both sides by 3

$\frac{S}{3} =r^{4t}$

now, we can take ln both sides

$ln(\frac{S}{3}) =ln(r^{4t})$

we can simplify it

$ln(\frac{S}{3}) =4tln(r)$

divide both sides by 4ln(r)

$t=\frac{ln(\frac{S}{3})}{4ln(r)}$ ..............Answer

4 0

3 years ago

What is the value of the expression? 5.32 × 1.9

Alexxx [7]

5.32 x 1.9 equals <span>10.108
</span>i cant explain but that is the answer

5 0

3 years ago

Help me with this. Mathematics

s2008m [1.1K]

Answer:

please resend this it very blurry I can hardly see anything, thanks,I love to be of help

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3 years ago