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3 years ago

5

Brianna can buy 14 pencils for $1.50 at the school store. At that rate, about how much would 100 pencils cost?

1 answer:

Tatiana [17]3 years ago

6 0

answer would be 14 x 100 = 1400

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a parabola has x intercepts of -1 and 3 it passes through the point (1,6) write the equation if the parabola

matrenka [14]

$\boxed{f(x)=-\frac{3}{2}x^2+3x+\frac{9}{2}}$

<h2>Explanation:</h2>

The Standard Form of the equation of a parabola is given by the form:

$y=ax^2+bx+c$

As y is a function of x, then we can write:

$y=f(x)=ax^2+bx+c \\ \\ a, \ b, c \ Real \ Coefficients$

Also, we can write $f(x)$ in factored form as:

$f(x)=a(x-x_{1})(x-(x_{2}) \\ \\ x_{1} \ and \ x_{2} \ Are \ the \ roots$

In this case:

$x_{1}=-1 \\ \\ x_{2}=3$

So:

$f(x)=a(x-(-1))(x-3) \\ \\ f(x)=a(x+1)(x-3)$

We also know that the parabola passes through the point (1,6):

$f(1)=6=a(1+1)(1-3) \\ \\ Isolating \ a: \\ \\ 6=a(2)(-2) \\ \\ 6=a(-4) \\ \\ a=-\frac{6}{4} \\ \\ a=-\frac{3}{2}$

Finally, the equation of the parabola is:

$f(x)=-\frac{3}{2}(x+1)(x-3)$

Or applying Distributive Property:

$f(x)=-\frac{3}{2}\left(x^2-2x-3\right) \\ \\ \boxed{f(x)=-\frac{3}{2}x^2+3x+\frac{9}{2}}$

<h2>Learn more:</h2>

Piecewise-defined function: brainly.com/question/12169258

#LearnWithBrainly

3 0

3 years ago

Leo buys a new car for $17,600. The simple interest rate is 8.4% and the amount of loan (plus simple interest) is repayable in 5

Dmitrij [34]

Answer:

$24,992

Step-by-step explanation:

The equation for simple interest is I = PRT where I is the interest earned, P is the principal deposited/borrowed, R is the rate as a decimal, and T is time in years.

I = (17,600)(0.084)(5)

I = 7,392

The total amount that must be repaid is the interest + the principal:

7,392 + 17,600 = 24,992

Please let me know if you have questions

7 0

3 years ago

Find the height of a right cylinder with surface area 160pie square units and radius 5 units

jenyasd209 [6]

Given:

Radius of a cylinder = 5 units.

Surface area of the cylinder = $160\pi$

To find:

The height of the right cylinder.

Solution:

Surface area of a cylinder is:

$A=2\pi rh+2\pi r^2$

Where, r is radius and h is the height of the cylinder.

Putting $r=5, A=160\pi$ in the above formula, we get

$160\pi =2\pi (5)(h)+2\pi (5)^2$

$160\pi =10\pi h+2\pi (25)$

$160\pi =10\pi h+50\pi$

Subtract $50\pi$ from both sides.

$160\pi -50\pi=10\pi h$

$110\pi=10\pi h$

Divide both sides by $10\pi$ .

$\dfrac{110\pi}{10\pi}=h$

$11=h$

Therefore, the height of the cylinder is 11 units.

8 0

3 years ago

Classify the sequence {an) = {10,4,8/5,16/25,...} as arithmetic, geometric, or neither. If there is not enough information to cl

Vanyuwa [196]

The answer is arithmetic

4 0

3 years ago

What is (2/9)^2 simplified? as a fraction<br><br> 4/81<br> 4/18<br> 4/11<br> 2/9

emmasim [6.3K]

It would be: (2/9)² = 4/81

In short, Your Answer would be Option A

Hope this helps!

6 0

3 years ago