All categories

2 years ago

Radhika buys papaya at the rate of p(x) = x² – 12x – 220 per kg

Mathematics

1 answer:

Svet_ta [14]2 years ago

3 0

Answer:

(i) The factors of the given polynomial is (x – 22) and (x + 10)

(ii) If she purchase 5kg papaya then she pays 110

Step-by-step explanation:

<h3><u>Given</u>;</h3>

p(x) = x² – 12x – 220 per kg

The factors of the given polynomial
if she purchase 5kg papaya, what money she have to pay?

Now,

x² – 12x – 220 = 0

Splitting the middle term

x² – 22x + 10x – 220 = 0

x(x – 22) + 10(x – 22) = 0

(x – 22) + (x + 10) = 0

x – 22 = 0 or x + 10= 0

x = 22 or x = -10

Here, (-10) is the negative value hence it is not possible

So, The value of x is 22

The factors of the given polynomial is (x – 22) and (x + 10)

if she purchase 5kg papaya then,

we know the price of 1 kg papaya i.e., 22 per kg

So,

5 × 22 = 110

Thus, if she purchase 5kg papaya then she pays 110

<u>-TheUnknownScientist 72</u>

You might be interested in

Can someone please answer. There is one problem. There is a picture. Thank you!

jonny [76]

SA=4pir^2
78.54km^2=SA
78.54=4pir^2
divide both sides by 4
19.635=pir^2
aprox pi=3.14 so divide both sides by 3.14
6.25318=r^2
sqrt both sides
2.50063=r
round
radius=2.5km

this question is flawed in that it gives the wrong units

answer is the option with 2.5 in it
2nd one

5 0

3 years ago

Sketch a graph that has the given end behavior. 13. As x → -∞, y → ∞ 14. As x → -∞, y → -∞ As x → ∞, y→∞ As x→∞, y → 0

Julli [10]

Answer:the hardest questiom

Step-by-step explanation:

6 0

2 years ago

I NEED HELP PLEASE, THANKS! :)

maxonik [38]

Answer:

Assume that Sk is valid for n=k and prove that Sn is valid for n= k+ 1

Step-by-step explanation:

This is Principle of Mathematical Induction ---PMI

Step 1: Verify that Sn is valid for n =1

Step 2:Assume that Sk is valid for n=k and prove that Sn is valid for n= k+ 1

6 0

2 years ago

Jane’s buying clothes. She can get 5 shirts & 4 sweaters for $229 or she can get 2 shirts & 3 sweaters for $128. How muc

makkiz [27]

Cost of 1 shirt is $\$25$ and cost of one sweater is $\$26$

<u>Solution: </u>

Given that Jane’s buying clothes.

She can get 5 shirts & 4 sweaters for $\$229$

She can get 2 shirts & 3 sweaters for $\$128$

Need to determine cost of 1 shirt and 1 sweater.

Let assume cost of 1 shirt = $\$x$

And assume cost of 1 sweater = $\$y$

Let us create equations from give conditions

First condition is Cost of 5 shirt + cost of 4 sweater = $\$229$

$\begin{array}{l}{\text { cost of 5 shirts }=5 \times \text { cost of 1 shirt }=5 \times x=5 x} \\\\ {\text { cost of 4 sweater }=4 \times \text { cost of 1 sweater }=4 \times y=4 y}\end{array}$

So using first condition equation which we get is as follows

$5 x+4 y=229 \rightarrow (1)$

Second condition is Cost of 5 shirt + cost of 4 sweater = $\$128$

$\begin{array}{c}{\text { cost of } 2 \text { shirts }=2 \times \text { cost of } 1 \text { shirt }=2 \times x=2 x} \\\\ {\text { cost of } 3 \text { sweater }=3 \times \text { cost of } 1 \text { sweater }=3 \times y=3 y}\end{array}$

So using second condition equation which we get is as follows

$2 \mathrm{x}+3 \mathrm{y}=128\quad\rightarrow (2)$

Now we have two equations to be solved

$\begin{array}{l}{5 x+4 y=229 \rightarrow (1)} \\\\ {2 x+3 y=128 \rightarrow (2)}\end{array}$

On multiplying equation (1) by 2 and equation (2) by 5 to make coefficients of x equal in both equations, we get

$\begin{array}{l}{2 x(5 x+4 y)=2\times 229} \\\\ {10 x+8 y=458 \rightarrow (3)} \\\\ {5 x(2 x+3 y)=5 \times 128} \\\\ {10 x+15 y=640 \rightarrow (4)}\end{array}$

On subtracting (3) from (4), we get

$\begin{array}{l}{(10 \mathrm{x}-10 \mathrm{x})+(15 \mathrm{y}-8 \mathrm{y})=640-458} \\\\ {\Rightarrow 7 \mathrm{y}=182} \\\\ {\Rightarrow \mathrm{y}=\frac{182}{7}=26}\end{array}$

On substituting y = 26 in equation (1) we get

$\begin{array}{l}{\Rightarrow 5 \mathrm{x}+(4 \times 26)=229} \\\\ {\Rightarrow 5 \mathrm{x}=229-104} \\\\ {\Rightarrow 5 \mathrm{x}=125} \\\\ {\Rightarrow \mathrm{x}=\frac{125}{5}=25}\end{array}$

Cost of 1 shirt = $\$x = \$25$

Cost of 1 sweater = $\$y = \$26$

7 0

3 years ago

What is the decimal equivalent of 11/50

klemol [59]

Answer:

0.22

Step-by-step explanation:

6 0

2 years ago