Determine whether the lines are parallel, intersect, or coincide y=-7x-+1 y=-7x-3

Write the polynomial in standard form. Then name the polynomial based on it's degree and number of terms.

Ivenika [448]

ANSWER

c. 6x^2 + 2x + 8, quadratic trinomial

EXPLANATION

The given polynomial is

$8 - 4 {x}^{2} + 10 {x}^{2} + 2x$

We regroup the terms to get;

$10 {x}^{2} - 4 {x}^{2} + 2x + 8$

Simplify now to obtain:

$6 {x}^{2} + 2x + 8$

This is a quadratic polynomial function based on the degree.

It is also a trinomial based on the number of terms.

The correct answer is C

5 0

3 years ago

Read 2 more answers

yra solves the equation as shown. - 3(x+2) = 9 1. - 3x - 6 = 9 2. - 3x = 15 3. x = - 5 The property Tyra used in line 1 was the:

Molodets [167]

Answer:

Distributive property says that:

$a\cdot(b+c) = a\cdot b + a\cdot c$

Addition property of equality:

if x = y then x+z = y+z

Division property of equality:

if x = y then $\frac{x}{z}=\frac{y}{z}$

As per the statement:

Given the equation: $-3(x+2)=9$

Tyra solve this equation as shown below:

1.

$-3x -6 = 9$ [Distributive property]

2.

$-3x = 15$ [Addition property of equality]

3.

$x = -5$ {Division property of equality]

Therefore, the property Tyra used in line 1 was : Distributive Property.

5 0

2 years ago

Read 2 more answers

A school wishes to accept 2000 students for their freshman class, and they expect 20,000 applications. In order to make their ad

vovangra [49]

Answer:

456

Step-by-step explanation:

Let X be the SATscore scored by the students

Given that X is normal (1000,200)

By converting into standard normal variate we can say that

$z=\frac{x-1000}{200}$ is N(0,1)

To find the top 10% we consider the 90th percentile for z score

Z 90th percentile = 1.28

$X= 200+1.28(200)\\= 200+256\\=456$

i.e. only students who scored 456 or above only should be considered.

3 0

3 years ago

A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

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

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0

3 years ago

anyone please help asap!!! The theater holds 250 people last last nights performance was sold out, students under the age of 16

3241004551 [841]

Answer:

there were 60 people that are under 16 and 190 people above 16.

4 0

3 years ago