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3 years ago

What is the equation of the graph

Mathematics

1 answer:

AveGali [126]3 years ago

5 0

Answer:

$y = 2x^2 + 1$

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

$y = a*x^2 + b$

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

$3 = a * (1)^2 + 1\\2 = a$

Awesome, we've found both values. And we can write the result.

$y = 2x^2 + 1$

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

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Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent

Fantom [35]

Answer:

y = 8

x = 11.3

option 2

Step-by-step explanation:

We can recognize this right triangle as a special triangle, a 45° - 45° - 90° triangle more specifically. This triangle would be isosceles because the two base angles are both 45°. Since the triangle is isosceles, we can say that the legs are congruent, so y = 8. In a 45° - 45° - 90° triangle, the hypotenuse is √2 times the legs. To find x, we can set up the equation:

8 * √2 =x

x = 8√2 or about 11.3

3 0

3 years ago

11. Mr Lee bought a second hand car for

Marrrta [24]

Answer :

Depends on the rate compound interest is accrued. See answers.

Step-by-step explanation:

We need the compound interest formula which is:

$A = P (1+\frac{r}{n} )^{nt}$

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

It doesn't say how frequently the interest is compounded, so we will do monthly, quarterly, and yearly.

MONTHLY

So we know the car costs $25,480 and he made a down payment of $10,000. By subtracting the down payment from the purchase price we find the loan amount.

$25,480 - $10,000 = $15,480

P = 15,480

r = 4.75% = .0475

n = 12 (12 months in a year)

t = 2

Plug everything into the compound interest formula.

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{12})^{12*2}$