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3 years ago

Which point is the vertex of the quadratic function ()=2−6+8?

Mathematics

1 answer:

xenn [34]3 years ago

8 0

Answer:

Step-by-step explanation:

1.Get the equation in the form y = ax2 + bx + c.

2.Calculate -b / 2a. This is the x-coordinate of the vertex.

3.To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.

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What is the equation of the following line? Be sure to scroll down first to see all answer options.

svetoff [14.1K]

The answer is C y = 1/3x

6 0

3 years ago

Read 2 more answers

Find the value of t, rounded to the nearest tenth

sergij07 [2.7K]

<u>Given</u>:

Given that RST is a right triangle.

The measure of ∠R is 35°.

The length of ST is 12 units.

The length of the hypotenuse is t units.

We need to determine the value of t.

<u>Value of t:</u>

The value of t can be determined using the trigonometric ratio.

Thus, we have;

$sin \ \theta=\frac{opp}{hyp}$

where $\theta=R$ , the side opposite to ∠R is ST and hypotenuse is SR.

Substituting these values, we get;

$sin \ R=\frac{ST}{SR}$

Substituting ST = 12 and SR = t, we get;

$sin \ 35^{\circ}=\frac{12}{t}$

Simplifying, we get;

$t=\frac{12}{sin \ 35^{\circ}}$

$t=\frac{12}{0.574}$

$t=20.9$

Thus, the value of t is 20.9 units.

5 0

3 years ago

Please help it's quite easy

strojnjashka [21]

Answer:may 19??

may 19

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Please help? put in slope intercept then graph

koban [17]

Answer:

answer A)

Step-by-step explanation:

the both lines are graphed with different colours; interception point marked with red. All the details are in the attached picture.

7 0

3 years ago

As part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each

Finger [1]

Answer:

Option d)$401,447.24

Step-by-step explanation:

We are given that as part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each year at rate of 6% compounded annually for 20 years

So first of all we need to find the future value of annuity using the formula as shown below :

$FV= p\frac{[(1+\frac{r}{n})^{(n)(t)}-1)]}{\frac{r}{n}}$

Here, FV = future value of annuity

p = $35000 (annual deposit)

r is rate = 6% = 0.06

n = number of compounding = 1 ( as we are compounding annually )

t = number of years = 20

So plugging in all the values in the formula , we get

$FV= 35000\frac{[(1+\frac{0.06}{1})^{(1)(20)}-1)]}{\frac{0.06}{1}}$

Simplifying further , we get

$FV= 35000\frac{[(1+0.06)^{20}-1)]}{0.06}$

Plugging in the given values in the calculator , we get

FV = $ 1287495.69

So far we have got the Total amount for annuity , from here we need to use the concept of compound interest and find the principal amount to be deposited to get the required total amount of $ 1287495.69

The formula for compound interest when compounded annually is given by:

$A=P(1+r)^t$

Here A = 1287495.69 (Total amount required)

P = ( principal amount to be deposited to meet the required total amount )

r = 6% = 0.06

t = 20

So plugging in all the known values in the formula , we get

$1287495.69= P(1+0.06)^{20}$

simplifying further, we get

$\frac{1287495.69}{(1.06)^{20}}= P$

so required amount to be deposited is given by :

P = $401,447.24

Hope it was helpful !:)

6 0

3 years ago