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3 years ago

1.) Give five (5) examples of quadratic equations written in standard form. Identify the values of a, b, and c in each equation.

Mathematics

1 answer:

Kitty [74]3 years ago

8 0

<h3>NUMBER 1:</h3>

1.) Give five (5) examples of quadratic equations written in standard form. Identify the values of a, b, and c in each equation.

a. 3 + x² = - 6x

Standard form: x² + 6x + 3 = 0

a, b, and c: a = 1, b = 6, c = - 3

b. x² - 3x = 18

Standard form: x² - 3x - 18 = 0

a, b, and c: a = 1, b = - 3, c = -18

c. 3 + 2x² = 6

Standard form: 2x² - 3 = 0

a, b, and c: a = 2, b = 0, c = -3

d. 3x + 2x² = 7

Standard form: 2x² + 3x - 7 = 0

a, b, and c: a = 2, b = 3, c = -6

e. x² + 8x = - 8

Standard form: x² + 8x + 8 = 0

a, b, and c: a = 1, b = 8, c = 8

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<h3>NUMBER 2:</h3>

2.) Name three (3) objects or cite three (3) situations in real life where quadratic equations are illustrated. Formulate quadratic equations out of these objects or situations then describe each.

1 and 2.) A company is going to make frames as part of a new product they are launching. The frame will be cut out of piece of steel, and to keep the weight down, the final area should be 28 cm². The inside of the frame has to be cm by 6cm.

Area of steel before cutting :

= (11 + 2x) × (6 + 2x) cm²
= 66 + 22x + 12x + 4x²

Quadratic Equation = 4x² + 34x + 66

Area of steel after cutting out the 11 × 6 middle :

= 4x² + 34x + 66 - 66

Quadratic Equation = 4x² + 34

3.) A ball is thrown straight up, from 3m above the ground, with a velocity of 14 m/s.

Add them up and the height(h) at any time(t) is :

h = 3 + 14t - 5t²

Quadratic Equation = -5t² + 14t + 3 = 0

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HOPE IT HELPS FOR YOU =)

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3 years ago

If Skylar's property has a net income of $5,480, and returns 8 percent annually on the investment, then what is her property's v

saveliy_v [14]

Answer:

the Skylar's property value will be equal to $68,500.

Step-by-step explanation:

given,

the net income of $5,480

return of 8 percent annually on the investment

property value is the value upon which the buyer and the seller come on the same page means they agree for the price.

property value = net operating income / capital rate

= $\dfrac{5480}{0.08}$

= $68,500

hence, the Skylar's property value will be equal to $68,500.

8 0

3 years ago

Nata [24]

Answer:

400,000km is represented as 8cm on the map!!!

Step-by-step explanation:

1cm=50000km

8cm=x

Criss cross

1cmx=8cm×50000km

divide both side with 1cm

x=8×50000km

x=400,000km

5 0

3 years ago

Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper, how many apples does Phoebe have?

Bezzdna [24]

Answer: Phoebe have 48 apples.

Explanation:

It is given that Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper.

Let the total number of apples be x.

The sum of the ratios is,

$Sum=5+3+4=12$

Therefore the number of apples shared by Pru, Piper, Phoebe are $\frac{5}{12}x, \frac{3}{12}x,\frac{4}{12}x$ respectively.

It is given that Pru has 24 more apples than Piper, so

$\frac{5}{12}x-\frac{3}{12}x=24$

$\frac{5-3}{12}x=24$

$\frac{2}{12}x=24$

$\frac{1}{6}x=24$

$x=144$

Since phoebe have $\frac{4}{12}x$ appels,

$\frac{4}{12}x=\frac{4}{12}\times 144=48$

Therefore, Phoebe have 48 apples.

8 0

3 years ago

Read 2 more answers

Raju, ramu and razi can do a piece of work in 20, 30 and 60 days respectively depending on their capacity of doing work. If raju

jok3333 [9.3K]

If Raju is assisted by Ramu and Razi every third day, then the number of days in which Raju will complete the work is 15 days.

<h3>What is Division?</h3>

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Let the total unit of work be 60 units.

Given that Raju, Ramu, and Razi can do a piece of work in 20, 30, and 60 days respectively. Therefore, the rate at which three of them works can be written as,

Rate = Total Work/ Time

Rate of Raju = 60 units /20 days = 3 units per day

Rate of Ramu = 60 units /30 days = 2 units per day

Rate of Razi = 60 units /60 days = 1 units per day

The work completed on the first day will be,

Work completed = Rate × Time

= Rate of Raju × 1 day

= 3 units per day × 1 day

= 3 units

The work completed on the second day will be,

Work completed = Rate × Time

= Rate of Raju × 1 day

= 3 units per day × 1 day

= 3 units

The work completed on the third day will be,

Work completed = Rate × Time

= (Rate of Raju+ Rate of Ramu + Rate of Razi) × 1 day

= (3+2+1) units per day × 1 day

= 6 units

Therefore, every three days, 12 units every three days of work will be completed. Therefore, the number of times three of them need to work together is,

Number of times = 60 units / 12 units every three days = 5

Further, the number of days if they meet 5 times is,

Number of days = 3 × 5 = 15

Hence, If Raju is assisted by Ramu and Razi every third day, then the number of days in which Raju will complete the work is 15 days.

Learn more about Division here:

brainly.com/question/369266

#SPJ4

8 0

2 years ago

Read 2 more answers