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3 years ago

5

24 point question

1 answer:

Snezhnost [94]3 years ago

4 0

Answer:

(0,2), (2,3)

Step-by-step explanation:

I know that 0,2 would be a point because it is the constant in the problem, but I am not to sure about 2,3.

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A puppy will grow 28 in it is currently 1 foot tall

ki77a [65]

♥ If he will grow to 28inches and he is currently 1ft tall, then he needs to grow 16 more inches to get his full height.
♥ I did this by solving what was in 1ft (12 inch) so 28-12=16.
♥ Therefore he needs to grow 16 more inches.
♥Hope this helps♥

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3 years ago

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Jim's father bought a new car 3 years ago for

Alexus [3.1K]

30% of 50,400 = 30240.

Therefore the percentage loss is 30% over the course of 3 years.

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3 years ago

The difference between the two roots of the equation 3x^2+10x+c=0 is 4 2/3 . Find the solutions for the equation.

andrezito [222]

Answer:

Given the equation: $3x^2+10x+c =0$

A quadratic equation is in the form: $ax^2+bx+c = 0$ where a, b ,c are the coefficient and a≠0 then the solution is given by :

$x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$ ......[1]

On comparing with given equation we get;

a =3 , b = 10

then, substitute these in equation [1] to solve for c;

$x_{1,2} = \frac{-10\pm \sqrt{10^2-4\cdot 3 \cdot c}}{2 \cdot 3}$

Simplify:

$x_{1,2} = \frac{-10\pm \sqrt{100- 12c}}{6}$

Also, it is given that the difference of two roots of the given equation is $4\frac{2}{3} = \frac{14}{3}$

i.e,

$x_1 -x_2 = \frac{14}{3}$

Here,

$x_1 = \frac{-10 + \sqrt{100- 12c}}{6}$ , ......[2]

$x_2= \frac{-10 - \sqrt{100- 12c}}{6}$ .....[3]

then;

$\frac{-10 + \sqrt{100- 12c}}{6} - (\frac{-10 + \sqrt{100- 12c}}{6}) = \frac{14}{3}$

simplify:

$\frac{2 \sqrt{100- 12c} }{6} = \frac{14}{3}$

or

$\sqrt{100- 12c} = 14$

Squaring both sides we get;

$100-12c = 196$

Subtract 100 from both sides, we get

$100-12c -100= 196-100$

Simplify:

-12c = -96

Divide both sides by -12 we get;

c = 8

Substitute the value of c in equation [2] and [3]; to solve $x_1 , x_2$

$x_1 = \frac{-10 + \sqrt{100- 12\cdot 8}}{6}$

or

$x_1 = \frac{-10 + \sqrt{100- 96}}{6}$ or

$x_1 = \frac{-10 + \sqrt{4}}{6}$

Simplify:

$x_1 = \frac{-4}{3}$

Now, to solve for $x_2$ ;

$x_2 = \frac{-10 - \sqrt{100- 12\cdot 8}}{6}$

or

$x_2 = \frac{-10 - \sqrt{100- 96}}{6}$ or

$x_2 = \frac{-10 - \sqrt{4}}{6}$

Simplify:

$x_2 = -2$

therefore, the solution for the given equation is: $-\frac{4}{3}$ and -2.

3 0

3 years ago

An exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is currently 100 feet below sea level. How

Allushta [10]

The answer is ur mom

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2 years ago

Mrs. smith has 5 times as many markers and colored pencils is 54.How many markers does mrs. smith have

Vilka [71]

Answer:

The answer is 270

Step-by-step explanation:

5×54=270

3 0

2 years ago

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