Ask question

Ask question

All categories

3 years ago

12

H(x)=(x+5)^2 if we solve h(x)=36

1 answer:

Ivan3 years ago

6 0

Answer:

x = - 11

Step-by-step explanation:

Solving

(x + 5)² = 36 ( take square root of both sides )

x + 5 = ± $\sqrt{36}$ = ± 6 ( subtract 5 from both sides )

x = - 5 ± 6

Then

x = - 5 + 6 = 1

x = - 5 - 6 = - 11

The other solution is x = - 11

You might be interested in

Solve 2/5(10x-20)>-44

Arisa [49]

$\dfrac{2}{5}(10x-20) \ \textgreater \ -44\ \ \ \ |use\ dustributive\ property:a(b-c)=ab-ac\\\\\dfrac{2\times10x}{5}-\dfrac{2\times20}{5} \ \textgreater \ -44\\\\\dfrac{2\times2x}{1}-\dfrac{2\times4}{1} \ \textgreater \ -44\\\\4x-8 \ \textgreater \ -44\ \ \ |add\ 8\ to\ both\ sides\\\\4x \ \textgreater \ -36\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\huge\boxed{x \ \textgreater \ -9\to x\in(-9;\ \infty)}$

5 0

3 years ago

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

Find the area of the parallelogram

jekas [21]

Answer:

120 cm^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 15*8

A =120

3 0

3 years ago

Is 1/7 rational or irrational

KiRa [710]

$\frac{1}{7} \ is\ rational\ number. \\\\ Every\ number\ which\ can\ be\ written\ as\ fraction\ (quotient)\ of\ two\\numbers\ is\ rational.$

3 0

4 years ago

Read 2 more answers

one half multiplyed by 4 pluse one quarter times 4 pluse three quarters times 4 pluse three 8s times. 3 pluse 5 8s times 3

elena-14-01-66 [18.8K]

.5 times four is 3 plus one quarter is 2.33 times 4 is 9.32 plus 75 is 10.07plus 24 is 24.07 then 32 and answer is 56.07

4 0

3 years ago