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3 years ago

Perform the indicated operation to write given polynomial in standard form: (x+ 2)(2x^2 − 5x+7)

Mathematics

1 answer:

Elan Coil [88]3 years ago

5 0

Answer:

So the expression in standard form will be $2x^3-x^2-3x-14$

Step-by-step explanation:

We have given expression $(x+2)(2x^-5x+7)$

We have to write this expression in standard form

For writing in standard form first we have to multiply the expression

So after multiplication number $(x+2)(2x^2-5x+7)=2x^3-5x^2+7x+4x^2-10x-14=2x^3-x^2-3x-14$

So the expression in standard form will be $2x^3-x^2-3x-14$

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What is the equation in point -slope form of a line that passes trough the points (3,-5) and (-8,4)

Ilia_Sergeevich [38]

Answer:

The equation in point - slope form of a line that passes through the points (3,-5) and (-8,4) is: y-(-5) = -(9/11) (x-3) or y+5 = -(9/11) (x-3)

Step-by-step explanation:

P1=(3,-5)=(x1,y1)→x1=3, y1=-5

P2=(-8,4)=(x2,y2)→x2=-8, y2=4

Equation in Point-Slope Form: y-y1=m(x-x1)

Slope: m=(y2-y1)/(x2-x1)

Replacing the known values:

m=[4-(-5)] / (-8-3)

m=(4+5) / (-11)

m=(9) / (-11)

m=-(9/11)

Equation in the point - slope form:

y-(-5) = -(9/11) (x-3)

y+5 = -(9/11) (x-3)

8 0

3 years ago

2) (-10) + (-7) shoe work

Sladkaya [172]

A negative plus a negative equals a negative so it's just -17

7 0

2 years ago

PLEASE HELP IM STUCK. <br><br> List the factors of the third term: 6n^3-n^2+5n/8-11

mafiozo [28]

Answer:

The factors for 5 are going to be 1 and 5 or their negative counterparts, since no other whole number within the range of 5 can be multiplied to get 5.

Make sense?

5 0

2 years ago

Last year, Susan had 10,000 to invest. She invested some of it in an account that paid 6%

katrin2010 [14]

Answer:

In the account that paid 6% Susan invest $\$6,000$

In the account that paid 5% Susan invest $\$4,000$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

Part a) account that paid 6% simple interest per year

in this problem we have

$t=1\ years\\ P=\$x\\r=0.06$

substitute in the formula above

$I1=x(0.06*1)$

$I1=0.06x$

Part b) account that paid 5% simple interest per year

in this problem we have

$t=1\ years\\ P=\$10,000-\$x\\r=0.05$

substitute in the formula above

$I2=(10,000-x)(0.05*1)$

$I2=500-0.05x$

we know that

$I1+I2=\$560$

substitute and solve for x

$0.06x+500-0.05x=560$

$0.01x=560-500$

$0.01x=60$

$x=\$6.000$

therefore

In the account that paid 6% Susan invest $\$6,000$

In the account that paid 5% Susan invest $\$4,000$

6 0

3 years ago

What is the density of a substance that has a mass of 25 grams and a volume of 100 ml? Need help asap

zhuklara [117]

Answer:

0.25

Step-by-step explanation:

density= m/v

density= 25/100

density=.25

6 0

3 years ago