All categories

3 years ago

Cet. Factor and Solve. x^2 + 3x - 18 = 0 - Ready? Enter your answer

Mathematics

1 answer:

fiasKO [112]3 years ago

4 0

Answer:

x = 3 or x = - 6

Step-by-step explanation:

Factor and Solve. x^2 + 3x - 18 = 0

We can use the Diamond method of factoring.

Factor -18 = 6 * -3; and 3 = 6 + -3

x^2 + 3x - 18 = x^2 -3x + 6x - 18 = 0

= (x^2 -3x) + ( 6x - 18) = 0

= x(x - 3) + 6*(x - 3) =0

= (x - 3)*(x + 6) = 0

so Either x - 3 = 0 or x + 6 = 0

x = 3 or x = - 6

You might be interested in

Garcia's Grill offers 77 side dishes, 55 types of steak, and 88 toppings. How many different smothered steak dinners can be made

svet-max [94.6K]

Answer:

Therefore the total number of ways that the customer can order the smothered steak dinner is 9800.

Step-by-step explanation:

There are 7 side dishes, and types of stake and 8 toppings.

The customer will have a smothered steak dinner.

The smothered steak dinner will consist of steak and 3 different toppings and 4 $\binom{8}{3} = \frac{8!}{3! \times 5!} = 56$ different side dishes.

The number of ways steak can be selected is = $\binom{5}{1} = \frac{5!}{1! 4!} =5$

The number of ways toppings can be chosen is = $\binom{8}{3} = \frac{8!}{3! 5!} = 56$

The number of ways side dishes can be chosen = $\binom{7}{4} = \frac{7!}{4!3!} = 35.$

Therefore the total number of ways that the customer can order the smothered steak dinner is

= 5 × 56 × 35 = 9800.

7 0

3 years ago

GIVING BRAINLIEST FOR BEST ANSWER!

Anarel [89]

Answer:

9/7

Step-by-step explanation:

13/14 - 1/7 + 1/2

taking LCM

=(13-2+7)/14

=18/14

to its lowest term

=9/7

6 0

2 years ago

Read 2 more answers

Evaluate the expression 2 x (3 + 1) + 2.

nekit [7.7K]

Answer:8x+2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Write log7t using the natural logarithm.

VARVARA [1.3K]

Answer:

log₇t = ln t / ln 7

Step-by-step explanation:

Given:

log₇t

Computation:

We know that

logₐb = log b / log a

So,

log₇t = log t / log 7

= log₇t = ln t / ln 7

4 0

3 years ago

It said i need to simplify. how do i

horrorfan [7]

Answer:

The equation relating the volume of water, y to the volume of flour, x is therefore;

y = 1/3×x

The quantity of water per liter of flour = 1/3 liters

The quantity of flour per liter of water = 3 liters

Step-by-step explanation:

The given information from the graph are;

At 0 liters of water, the volume of flour = 0 liters of flour

At 1 liter of water, the volume of flour = 3 liters of flour

The relationship between the volume of water and flour is linear given s follows;

The equation for a linear relationship is y = m·x + c

m = The gradient or slope of the line, c = the y-intercept

In the graph the y-intercept = 0 therefore, c = 0

The slope, m is (change in y-coordinate)/(Change in x-coordinate)

∴ m = (1 - 0)/(3 - 0) = 1/3

The equation relating the volume of water, y to the volume of flour, x is therefore;

y = 1/3×x

Such that when the question asks, how many liter of water is used per liter of flour, we get;

y = 1/3× 1 = 1/3 liters

Similarly when the question asks, how many liter of flour is used per liter of water, we get;

1 = 1/3×x

x = 3 × 1 = 3 liters.

4 0

3 years ago