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4 years ago

Helppppp pls simple algebra hella points show your work

Mathematics

2 answers:

trapecia [35]4 years ago

8 0

Answer:

$\Huge \boxed{y=-7 \ \ \mathrm{or} \ \ y=-3}$

$\rule[225]{225}{2}$

Step-by-step explanation:

$(y-3)^2 =2y^2 +4y+30$

Expanding brackets.

$y^2-6y+9=2y^2 +4y+30$

Subtracting (y² - 6y + 9) from both sides, then switching sides.

$y^2 +10y+21=0$

Factoring left side.

$(y+3)(y+7)=0$

Setting factors equal to 0.

$\Longrightarrow y+3= 0 \\\\\\ \Longrightarrow y=-3$

$\Longrightarrow y+7=0 \\\\\\ \Longrightarrow y=-7$

$\rule[225]{225}{2}$

Dmitry_Shevchenko [17]4 years ago

5 0

Answer:

y = -7, y = -3

Step-by-step explanation:

(y - 3)² = 2y² + 4y + 30

expand:

y² - 6y + 9 = 2y² + 4y + 30

subtract 30 from both sides

y² - 6y + 9 - 30= 2y² + 4y + 30 - 30

simplify:

y² - 6y - 21 = 2y² + 4y

subtract 4y from both sides

y² - 6y - 21 -4y = 2y² + 4y - 4y

simplify:

y² - 10y - 21 = 2y²

subtract 2y² from both sides

y² - 10y - 21 - 2y² = 2y² - 2y²

simplify:

-y² - 10y - 21 = 0

solve y by quadratic equation

- (-10) ± √ (-10² - 4(-1)(21)

y = --------------------------------------

2(-1)

y = -7, y = -3

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4 years ago

The fly population on an island is declining at a rate of 1.7% per year. The population was 4600 in the year 2016. Which answer

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3 years ago

Read 2 more answers

write and solve a real world problem in which you need to find the initial value of the function. Then explain how you solved th

Mama L [17]

you are planting roses

you started at 12 noon

at 3pm, you have 80 roses left

at 6pm, you have 20 roses left

if you planted roses at a constant rate, how many roses did you start with?

so we can find the slope of this linear function as (20roses-80roses)/(6pm-3pm)=60roses/3hrs=-20roses/hr

your quantity goes down by 20 roses per hour (you plant 20 per hour)

r=-20t+?

find ?, the number of roses when t=0

at 3pm yo have 80 roses

80=-20(3)+?

80=-60+?

140=?

you had 140 roses intiailly

if you wanted an exponenntial

the town polpulationn grows at an exponential rate

the town was founded in 2000

in 2010, the town's population was 1000

in 2015, the town's populationw as 2000

find intial polpulation

exponential can be modeled by $y=ab^t$ where y=population, t=time and b and a are constants (a=initial population)

we are given that after 10 years (2010), y=102400

after 15 years, (2015), y=3276800

$102400=ab^{10}$ and $3276800=ab^{15}$

divide the 2nd by the first equation, remembering our exponential properties like $\frac{x^a}{x^b}=x^{a-b}$

$32=b^{5}$

take 5th root of both sides

$b=2$

subsitute back

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$102400=a(2)^{10}$

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the intial population is 100 people

7 0

3 years ago

A 5'6" person walking down the street notices his shadow. If the angle of elevation from the tip of the shadow to the sun is 60°

madreJ [45]

Answer:

The length of the shadow is 3.17 feet .

Step-by-step explanation:

Given as :

The height of the person walking on street = H = 5'6''

∴ 12" = 1 '

So, 6" = $\dfrac{1}{12}$ × 6 = 0.5'

I.e H = 5.5 feet

The angle of elevation of from tip of shadow to sun = Ф = 60°

Let The length of the shadow = X feet

<u>Now, From figure</u>'

Tan angle = $\dfrac{\textrm perpendicular}{\textrm base}$

Or, Tan Ф = $\dfrac{\textrm AB}{\textrm AO}$

Or, Tan 60° = $\dfrac{\textrm H}{\textrm X}$

Or, Tan 60° = $\dfrac{\textrm 5.5 feet}{\textrm X}$

Or, 1.732 = $\dfrac{\textrm 5.5 feet}{\textrm X}$

Or, X = $\dfrac{\textrm 5.5 feet}{\textrm 1.732}$

∴ X = 3.17 feet

So, The length of the shadow = X = 3.17 feet

Hence, The length of the shadow is 3.17 feet . Answer

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4 years ago

Two pumps at a local water facility can only

Ratling [72]

According to the information given, the system of inequalities that models the situation is given by:

$x + y \geq 18$

$x + y \leq 24$

$120x + 200y \geq 3000$

<h3>System of inequalities:</h3>

For the system, the variables are:

x is the number of hours that Pump 1 runs.

y is the number of hours that Pump 2 runs.

They will run for at least 18 hours in a day but obviously no more than 24 hours in a day, hence:

$x + y \geq 18$

$x + y \leq 24$

Pump 1 can move 120 gallons per hour while Pump 2 can move 200 gallons per hour. In total the two pumps must move at least 3,000 gallons of water per day, hence:

$120x + 200y \geq 3000$

You can learn more about system of inequalities at brainly.com/question/14361489

8 0

3 years ago