All categories

2 years ago

Solve x2 − 7x + 12 = 0. x = −3, x = −4 x = 3, x = 4 x = 2, x = 6 x = −2, x = −6

Mathematics

1 answer:

UNO [17]2 years ago

6 0

Answer:

x=4, x=3

B is correct.

Step-by-step explanation:

Given: $x^2-7x+12=0$

Using middle term splitting factor the left side equation.

$x^2-4x-3x+12=0$

$(x-4)(x-3)=0$

Equate each factor to 0 and solve for x

x-4=0 or x-3=0

x=4 and x=3

Hence, The solution of the equation is 4 or 3

You might be interested in

A recipe for fruit salad includes 1/5 cup of grapes for 3 servings. How many cups of grapes are needed for 50 servings of this f

choli [55]

Answer:

300 is your answer

Step-by-step explanation:

6 0

2 years ago

Need help, it's interest rate!

navik [9.2K]

Answer:

B is your answer to this question.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

PLZ HELP!!! Explain how you would solve this problem. (Use words!!) 4(x +3) = 3(x - 12)

julsineya [31]

Answer:

4(x+3)=3(x-12)

=4x + 12= 3x - 36

= 4x- 3x= -36 - 12

= x = -48

4 0

2 years ago

Answer as many as possible please need work for brainilist

zysi [14]

Answer:

1. 18x + 35y = 598

x + y = 20

Isolate a variable in the second equation:

y = -x + 20

Plug y back into the first equation

18x + 35(-x + 20) = 598

18x - 35x + 700 = 598

-17x +700 = 598

-17x = -102

x = 6

You carpool 6 days of the 20

6 + y = 20

y = 14

You ride the bus 14 days of the 20

2. 4.50n + 3p = 252

p = 2n

Substitute p into the first equation

4.50n + 3(2n) = 252

4.50n + 6n = 252

10.5n = 252

n = 24

They sold 24 cans of nuts

p = 2(24)

p = 48

They sold 48 boxes of popcorn

The group sold, in total, 24 + 48 = 72 cans of nuts and boxes of popcorn.

3. x - y = 3

x + y = 8

Isolate a variable

x = y + 3

(y + 3) + y = 8

2y + 3 = 8

2y = 5

y = 2.5

The average speed with wind is 2.5 mph

x - 2.5 = 3

x = 5.5

The average speed without wind is 5.5mph

4. x + 8y = 22.8

x + 6y = 18.6

Isolate

x = -8y + 22.8

Substitute

(-8y + 22.8) + 6y = 18.6

-2y + 22.8 = 18.6

-2y = -4.2

y = -2.1

The gas costs $2.10 per gallon

x + 8(2.1) = 22.8

x + 16.8 = 22.8

x = 6

The cost of the car was is $6.

5. Cost = 9.99 + 2.49x

Cost = 20.49 + 1.79x

To find which one is better, we need to set them equal to each other at first.

9.99 + 2.49x = 20.49 + 1.79x

9.99 + 0.70x = 20.49

0.70x = 10.5

x = 15

So, they cost the same at 15 rentals.

To find which one is the better deal let's see how much both cost after 16 rentals.

Cost = 9.99 + 2.49(16)

= 49.83

Cost = 20.49 + 1.79(16)

= 49.13

Therefore, Main Street is the better deal because after the equilibrium Main Street costs less than Big Video.

6. x + y = 15

.25x + .05y = 2.75

Isolate

x = -y + 15

Solve

.25(-y + 15) + .05y = 2.75

-.25y + 3.75 + .05y = 2.75

-0.2y + 3.75 = 2.75

-0.2y = -1

y = 5

There are 5 nickels

x + 5 = 15

x = 10

There are 10 quarters

7. x + y = 26

x + .25y = 17

Isolate

x = -y + 26

Substitute

(-y + 26) + .25y = 17

-0.75y + 26 = 17

-0.75y = -9

y = 12

There are 12 quarters in his pocket

x + 12 = 26

x = 14

There are 14 dollars

I hope this helps!!

- Kay :)

6 0

2 years ago

Can Someone Help me, pls?

vesna_86 [32]

Answer:

6.25 <7

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers