All categories

2 years ago

Do the graphs of 4y=(x-3)^2 and 3x-y=14 intersect at (5,1)

Mathematics

1 answer:

AfilCa [17]2 years ago

4 0

Answer:

it will happen if both y and x components be equal

y= (x-3)²/4 , y = 3x- 14

3x - 14 = (x-3)²/4

12x - 56 = x²-6x + 9

x² - 18x + 65 = 0

delta = 18²-4*65 = 64

x1 = (18 + (64)^(1/2))/2 = 13

x2 = (18 - (64)^(1/2))/2 = 5

one point is x = 5 but we should check if on that point y component is 1 or not

y = (5-3)²/4 = 1

so the functions will intersect at (5,1)

You might be interested in

David, Egil and Frances share money in the ratio 2:7:9. Frances gets ?80 more than David. Explain how you know Egil gets ?80.

Natalija [7]

Step-by-step explanation:

We have been given that David, Egil and Frances share money in the ratio 2:7:9.

Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.

We are told that Frances gets $80 more than David. So we can write this information in an equation as:

$9x=2x+80$

Now let us solve for x.

$9x-2x=80$

$7x=80$

$x=\frac{80}{7}$

Now let us substitute $x=\frac{80}{7}$ in 7x (amount of money that Egil gets).

$\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}$

Upon cancelling out 7 from numerator and denominator we will get,

$\text{ Amount of money that Egil will get}=80$

Therefore, Egil will get $80.

6 0

3 years ago

Zolol [24]

The value of this expression when =-2 and x=-1 is: 3.

<h3>Value of the expression</h3>

Given equation:

-2 and x=-1

Solving the value of the given equation

-2 and x=-1

Hence:

=-(-1)+2

=1+2

Therefore the value of this expression when =-2 and x=-1 is: 3.

Learn more about Value of the expression here:

brainly.com/question/912391

brainly.com/question/625174

#SPJ1

6 0

2 years ago

A person sold 100 shares of a stock at a loss of 40%. If the selling price for the 100 shares was $3,000, which of the following

Kisachek [45]

A person sold 100 shares of a stock at a loss of 40%.

selling price for the 100 shares was $3,000

Let the stock was bought at $x then we can write

$x-\frac{40x}{100}=3000\\ \\ \frac{100x-40x}{100}=3000\\ \\ \ \frac{60x}{100}=3000\\ \\ \ 60x= 3000*100\\ \\ x=\frac{3000*100}{60} \\ \\ \ x=5*100=5000\\$

Hence Amount paid for the Stock was $5000

7 0

3 years ago

Karen has two dogs. The larger dog weighs 1.4 pounds more than the

Anon25 [30]

The answer is 11.2 pounds.

8 0

2 years ago

Read 2 more answers

From 12,000 graphing calculators produced by a manufacturer, an inspector selects a random sample of 550 calculators and finds

maria [59]

Answer:

131

Step-by-step explanation:

Using proportion,

If Out of 550 calculators = 6 are defective,

Then out of 12000 calculators = ? are defective

$\frac{12000 calculators}{550calculators} * 6$

= 21.8 * 6

= 130.8 ≈ 131

∴ Approximately 131 calculators are defective

3 0

3 years ago