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AnnZ [28]
3 years ago
7

find the quadratic equation if its solutions are 1.5 and -.25, and the equation coefficients are not decimals.

Mathematics
1 answer:
denpristay [2]3 years ago
3 0

If a quadratic equation has solutions x_1 and x_2, then we can write it as

(x-x_1)(x-x_2)

So, in your case, we have (let me write 1.5 as 3/2 and -0.25 as -1/4)

\left(x-\dfrac{3}{2}\right)\left(x+\dfrac{1}{4}\right) = x^2-\dfrac{5}{4}x-\dfrac{3}{8}

If we don't want decimal coefficient, we can multiply the whole expression by 8:

8x^2-10x-3

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Pauline mixed 0.32 liter of syrup with 12 times as much water to make orange squash.She split 1.28 liter of orange squash.Then s
cluponka [151]

Answer:

0.72 litres

Step-by-step explanation:

Litres of syrup = 0.32 litres

Litres of water = 12 times the amount of syrup = 12 * 0.32 = 3.84 litres

Litres of orange squash = litres of syrup + litres of water

Litres of orange squash = (0.32 + 3.84) = 4.16 litres

Amount of orange squash litres split = 1.28 litres

Amount of orange squash left = (4.16 - 1.28) = 2.88 litres

Splitting the amount of squash left equally into 4 :

2.88 litres / 4 = 0.72 litres

4 0
3 years ago
1*11<br> *<br> What is 11x11
Vika [28.1K]
11x11 is 121 , if that is what ur asking
7 0
4 years ago
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Can someone please help a lady out ASAP? please and Thankyou. I will give you crown
gtnhenbr [62]
I hope it’s right?! You just need to do this

8 0
3 years ago
Castel and Chelsea are selling pies for a school fundraiser. Customers can buy cherry pies and lemon meringue pies. Castel sold
tiny-mole [99]

Answer:

the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

Step-by-step explanation:

The computation of the cost of one cherry pie and the lemon meringue pie is shown below:

Let us assume the cherry pie be x

And, the lemon meringue pie be y

So according to the question

x + 5y = $69

5x + 7y = $129

Now multiply by 5 in the equation 1

5x + 25y = $345

5x + 7y = $129

18y = $216

y = $12

And, x would be

x + 5($12) = $69

x = $9

Hence, the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

4 0
3 years ago
A rose garden can be planted for $4000. The marginal cost of growing a rose is estimated to $0.30,
wariber [46]

Answer:

C(x)=4000+0.3x

R(x)=1.75x

Profit= 1.45x-4000

Step-by-step explanation:

We are given that A rose garden can be planted for $4000.

The marginal cost of growing a rose is estimated to $0.30,

Let x be the number of roses

So, Marginal cost of growing x roses = 0.3x

Total cost = 4000+0.3x

So, Cost function : C(x)=4000+0.3x ---A

Now we are given that the total revenue from selling 500 roses is estimated to $875

So, Marginal revenue = \frac{\text{Total revenue}}{\text{No. of roses}}

Marginal revenue = \frac{875}{500}

Marginal revenue = 1.75

Marginal revenue for x roses  = 1.75x

So, Revenue function =  R(x)=1.75x ----B

Profit = Revenue - Cost

Profit= 1.75x-4000-0.3x

Profit= 1.45x-4000  ---C

Now Plot A , B and C on Graph

C(x)=4000+0.3x  -- Green

R(x)=1.75x  -- Purple

Profit= 1.45x-4000  --- Black

Refer the attached graph

6 0
3 years ago
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