How do you factor 3x^2+7x-6=0 and solve?

Answers

Answer 1

Answer: Do the factoring method
(3x-2)(x+3)
3x=2 X=-3
x=2/3

if we check
3x2+7x=6
3(2/3)2+7(2/3)=6
4/3+14/3=6
18/3=6
The x=2/3 is correct now lets see the x=-3
3x2+7x=6
3(-3)2+7(-3)=6
3(9)-21=6
27-21=6
6=6

so both x can be used in factoring

Answer 2

Answer:

Answer: x2=-3

Step-by-step explanation:

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An artificial lake is in the shape of a rectangle and has same area of 9/20 square mile. The width of the lake is 1/5 the length of the lake. what are the dimensions of the lake?

Answers

You are given an artificial lakes’ shape of a rectangle having an areaof 9/20 square mile and width of 1/5 length of the lake. You are required tolook for the dimensions of the lake. The area of a rectangle is length timeswidth. So,
Area = length * width
Since width = 1/5 length
Area = length * 1/5 length
Area is 9/20 square mile,
9/20 square mile = 1/5 * square length
Square length = 9/4 square mile
Length = 3/2 mile

What is this lol ❤❤❤

Answers

Answer:

Exosphere

Step-by-step explanation:

The exosphere is the last layer of earth which oxygen escapes.

Answer:

don't know lol <3

Step-by-step explanation:

have a good day this was obviously made a while ago LOL

Harriet has some five dollar bills and some one dollar bills She has 20 bills. The value of the bills is $72 write and solve a system of equations using elimination to find out how many of each bill she has.Show your work please. should equal 7 one dollar bills and 13 five dollar bills. Also use ALGEBRA.

Answers

so let's say
x=number of five dollare bills
y=number of 1 dolar bills

20 bills total
x+y=20

totla is 72 monies
72=5 times x+1 times y=5x+1y=5x+y
solve

x+y=20
5x+y=72
from here you could do 2 things: go to option 1 (longer) or option 2 (shorter)

1.

x+y=20
subtract x from both sides
y=20-x

5x+y=72
subtract 5x from boths ides
y=72-5x
subsitute

y=20-x=y=72-5x
20-x=72-5x
add 5x to both sides
20+4x=72
subtract 20 from both sides
4x=52
divide both sides by 4
x=13

subsitute
x+y=20
13+y=20
subtract 13
y=7

2.

another way is when you got 5x+y=72 and x+y=20
you negative the second equaiton and add to th efirst
I know it sounds like voodo at first but it works
-(x+y=20)=-x-y=-20
add

5x+y=72
-x-y=-20 +
4x+0y=52
4x=52
divide both sides by 4
x=13

subsitute
x+y=20
13+y=20
subtract 13
y=7

You mix 2/5 cup of red paint for every 1/4 cup of blue paint to make 1 5/8 gallons of purple paint. How much red paint and blue paint do you use

Answers

Answer=16 cups of red and 10 cups of blue

2/5=8/20=32/80
1/4=5/20=20/80
1 5/8gallons=26cups

32/80+20/80=52/80

26=x(52/80)
divide both sides by (52/80)
40=x
In short, you multiply the mixture by 40 , so...

40*2/5=16cups of red
40*1/4=10cups of blue

Susan joined a video rental club. She paid an initiation fee of $12.75, and it costy $0.75 per video that she rented.Part A:-write an equasion to show the total amount susan paid to rent v videos.
Part B:-while she was a member of the club , susan paid a total of $105.75. how many videos did she rent?

Answers

so initiation fee is 12.75

0.75 per video so
total cost = iniation fee+0.75 times number of videos or
total cost=12.75+0.75 times v
0.75 times v=0.75v so

total cost=12.75+0.75v

if total cost=105.75 then subsitute
105.75=12.75+0.75v
subtract 12.75 from both sides
93=0.75v
multiply both sides by 100 to clear decimal
9300=75v
divide both sides by 75
124=v

she rented 124 videos

A:total=12.75+0.75v
B:124 videos

Answer: I know this isnt and answer but can you plleassse do Part C

Question: Suppose Sierra had rented the same number of videos with the same initiation fee, but the coast was instead $0.95 per video she rented. What would she have paid in total?

Step-by-step explanation:

There are 451 children in Lia's school. Write a number greater than 451

Answers

452, 453, 454, 456, etc.

453 453 454 455 and more

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What is 37% of 293? Plz help me people this is for tomorrow