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s344n2d4d5 [400]
4 years ago
12

Solve for x. Write both solutions, separated by acomma.6x2 + 5x - 14 = 0​

Mathematics
1 answer:
Igoryamba4 years ago
5 0

Answer:

 x=\frac{7}{6} and x =-2

Step-by-step explanation:

To solve for x, you must factor the equation first.

Factoring

6x^{2} +5x-14=0

*note - the constant number (14) is negative, which means that there must be a negative and a positive when factoring*

(6x - 7)(1x + 2)

When you multiply what is factored above, you get your original equation

Solving for x

As you may know, you will have two x answers.

(6x - 7) = 0 and (1x + 2) = 0

6x - 7 = 0 add 7 to both sides to get 6x alone

6x = 7 divide both sides by 6 to get x

x = 7/6

1x + 2 = 0 subtract 2 from both sides to get 1x alone

1x = -2 divide both sides by 1 to get x

x = -2

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Identify the transformation that occurs to create the graph of g(x). g(x)=f(x)-7
Aleks [24]

Answer:

g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).

Step-by-step explanation:

We are given that

g(x)=f(x)-7

We have to identify  the transformation that occurs to create the graph of g(x).

To identify  the transformation that occurs to create the graph of g(x)

We will subtract the 7 from f(x).

Let f(x) be any function

g(x)=f(x)-k

It means g(x) obtained by  shift the function f(x) down  k units by subtracting k units from f(x).

Therefore, g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).

7 0
3 years ago
When you buy an item on which sales tax is charged,the total cost is calculated by the formula T=P+s/100p where T is the total c
Gennadij [26K]

Given:

The formula for total cost is

T=p+\dfrac{s}{100}p

where, p is the price of item and s is the sales tax rate (as a percent).

You pay $14.77 for an item priced at $14.

To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

14.77=14+\dfrac{s}{100}(14)

14.77-14=\dfrac{s}{100}(14)

0.77=\dfrac{s}{100}(14)

Multiply both sides by 100.

77=14s

Divide both sides by 14.

\dfrac{77}{14}=s

5.5=s

Therefore, the tax rate is 5.5%.

7 0
3 years ago
Find the equivalent exponential expression. (72)3
sashaice [31]

Your Answer is 2*10^2 + 1*10^1 + 6*1^1

5 0
3 years ago
1. 12x^2-8x
larisa [96]

Answer:

Step-by-step explanation:

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2) we have to find two numbers that multipied give -36 and that added up give 5

the two number are 9 and -4

we can rewrite the expression as : (x+9)(x-4)

3) we have to solve the associated equation

3x^2+10x+8 = 0

Δ/4 = 25-24 = 1

x1 = (-5+1)/3 = -4/3

x2 = (-5-1)/3 = -2

now we can rewrite the expression as

3(x+4/3)(x+2) = (3x+4)(x+2)

4 0
3 years ago
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Please answer right ill give brainliest
eimsori [14]

Answer:

350

Step-by-step explanation:

it is going down my 35. just add 35 to the first number. Hope this helps!!

5 0
3 years ago
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