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3 years ago

How will you know that the equation is a quadratic

Mathematics

1 answer:

prohojiy [21]3 years ago

3 0

Answer:

A quadratic condition is a condition of the subsequent degree, which means it contains, in any event, one term that is squared. The standard structure is ax² + bx + c = 0 with a, b, and c being constants, or mathematical coefficients, and x is an obscure variable.

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You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s

fredd [130]

Answer:

Time spent rowing down stream $=100\ seconds$

Speed of boat in still water $=14\ ms^{-1}$

Step-by-step explanation:

Let speed of boat in still water be $= x\ ms^{-1}$

Speed of current $= 10\ ms^{-1}$

Speed of boat down stream = $\textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}$

Distance rowed down stream = 2400 m

Time spent rowing down stream = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$ = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$

Speed of boat up stream = $\textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}$

Distance rowed up stream = $\frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m$

Time spent rowing up stream = $\frac{Distance}{Speed}=\frac{400}{x-10}\ s$

We know that,

$\textrm{Time spent rowing down stream =Time spent rowing up stream}$

So,

$\frac{2400}{x+10}=\frac{400}{x-10}$

Cross multiplying

$2400(x-10)=400(x+10)$

Dividing both sides by $400$

$\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}$

$6(x-10)=x+10$

$6x-60=x+10$

Adding 60 to both sides.

$6x-60+60=x+10+60$

$6x=x+70$

Subtracting both sides by $x$

$6x-x=x+70-x$

$5x=70$

Dividing both sides by 5.

$\frac{5x}{5}=\frac{70}{5}$

∴ $x=14$

Speed of boat in still water $=14\ ms^-1$

Time spent rowing down stream = $\frac{2400}{14+10}=\frac{2400}{24}=100\ s$

3 0

3 years ago

The landscaper charges a rate of $40 per hour to plant trees.

Wittaler [7]

Answer:

More info please

Step-by-step explanation:

7 0

3 years ago

Factor completely<br> 3x ^2 + 2xy - y ^2

NemiM [27]

3x2+2xy−y2

=(3x−y)(x+y)

Answer:

(3x−y)(x+y)

5 0

3 years ago

Read 2 more answers

Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each bea

xz_007 [3.2K]

Answer:

To make a profit of at least $500 she must sell at least 12 necklaces

Step-by-step explanation:

Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.

The costs side of the equation, we have:

Let no. of necklaces that she sell are x

∴ The cost of making and packaging x beaded necklace is $15x

Total Cost = 95+15x

Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x

To make a profit of at least $500 the equation can be written as

$95+15x+500\leq35x$

$595\leq50x$

⇒ $x\geq11.9=12$

Hence, to make a profit of at least $500 she must sell at least 12 necklaces

7 0

3 years ago

Read 2 more answers

You eat 2/3 of your pizza and you have 4 slices leftover. How many slices did you originally order? Write and solve an equation

avanturin [10]

Answer:

Step-by-step explanation:

4 × 3 = 12

3/3 = 12

2/3 = 8

1/3 = 4

8 slices were eaten and 4 are left, and if you add 8 + 4 or you multiply the 3 × 4, you get 12. There were originally 12 slices.

5 0

2 years ago

How will you know that the equation is a quadratic​

How will you know that the equation is a quadratic