All categories

3 years ago

30 POINTS HELP PLEASE

Mathematics

1 answer:

Reptile [31]3 years ago

8 0

Answer:

$\large\boxed{a=-3,\ b=-7\ and\ c=3}$

Step-by-step explanation:

$ax^2+bx+c=0$

We have:

$-3a^2=7a-3$ <em> subtract 7a from both sides</em>

$-3a^2-7a=7a-7a-3$

$-3a^2-7a=-3$ <em>add 3 to both sides</em>

$-3a^2-7a+3=-3+3\\\\-3a^2-7a+3=0\to a=-3,\ b=-7, c=3$

You might be interested in

The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

stiks02 [169]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

$A=b^{2}$

where b is the length side of the square

we have

$A=49\ units^2$

substitute

$49=b^{2}$

$b=7\ units$

therefore

$AB=BE=ED=AD=7\ units$

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

$A=(AC)(AG)$

substitute the given values

$A=(9)(10)=90\ units^2$

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

$A=(DE)(DG)$

we have

$DE=7\ units$

$DG=AG-AD=9-7=2\ units$

substitute

$A=(7)(2)=14\ units^2$

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

$A=(EF)(CF)$

we have

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

substitute

$A=(3)(7)=21\ units^2$

step 5

sum the shaded areas

$14+21=35\ units^2$

step 6

Divide the area of of the shaded region by the area of ACIG

$\frac{35}{90}$

Simplify

Divide by 5 both numerator and denominator

$\frac{7}{18}$

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0

2 years ago

A nursery has $50,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 27% and the profit on a

nasty-shy [4]

Answer:

Sorry do not have your answer

Step-by-step explanation:

5 0

2 years ago

An airplane is flying from New York City to Los Angeles the distance it travels in Miles D is related to the time in seconds T b

tatiyna

Answer:

It takes 85 seconds to go 12.75 miles

Step-by-step explanation:

We are given

An airplane is flying from New York City to Los Angeles

the distance it travels in Miles D is related to the time in seconds T by the equation

$d=0.15T$

we are given to find time when distance is 12.75 miles

so, we can set d=12.75

and then we can solve for T

$12.75=0.15T$

We can divide both sides by 0.15

$T=\frac{12.75}{0.15}$

$T=85$

So,

It takes 85 seconds to go 12.75 miles

6 0

2 years ago

2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?

Talja [164]

Answer:

There are 171 members in the club

Number of boys = 38

Number of girls = 133

Step-by-step explanation:

Let

x = total members of the club

Boys = 2/9x

if there are 95 more girls than boys

Girls = 2/9x + 95

how many girls are there in club?

Total members in the club = boys + girls

x = 2/9x + 2/9x + 95

x = 2+2/9x + 95

x = 4/9x + 95

x - 4/9x = 95

9x-4x/9 = 95

5/9x = 95

Divide both sides by 5/9

x = 95 ÷ 5/9

= 95 × 9/5

= 855/5

= 171

boys = 2/9x

= 2/9 * 171

= 342 / 9

= 38

Girls = 2/9x + 95

= 38 + 95

= 133

Total = 38 + 133

= 171

There are 171 members in the club

Number of boys = 38

Number of girls = 133

5 0

3 years ago

Which of the following are square roots of 265

Studentka2010 [4]

Answer:

Step-by-step explanation:

5 0

2 years ago