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2 years ago

If 3x^2-2x+7=0 then (x-1/3)^2=

1 answer:

5 0

3x^2−2x+7=0
3x^2−2x+1/3+7−1/3=0
3(x^2−2x/3+1/9)+7−1/3=0
3(x−1/3)^2+(21−1)/3=0
3(x−1/3)^2=−20/3
(x−1/3)^2=−20/9

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Stephanie opened a savings account with $200.00. Each additional month, the account will increase by 10%. The function f(x)=200

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2 years ago

19) Two of the dozen eggs in a carton are cracked. About what percent of the carton is not cracked? (Round to the nearest whole

777dan777 [17]

Answer:

$83%$ %

Step-by-step explanation:

We have that $2/12=1/6$ of the eggs are cracked, so $1-1/6=5/6$ of the eggs are not cracked.

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Rounding this to the nearest whole percent gives $83%$ %.

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2 years ago

the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age

Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

Convert statement into algebraic expression:

Half of April's age = $\frac{x}{2}$

2 years more than half of April's age = $\frac{x}{2}+2$

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$$\Rightarrow \ \ x+(\frac{x}{2}+2) =23$

$$\Rightarrow \ \ x+\frac{x}{2}+2 =23$

$$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23$

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23$

$$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23$

Denominators are same, now add the fractions.

$$\Rightarrow \ \ \frac{2x+x+4}{2} =23$

Do cross multiplication.

$$\Rightarrow \ \ 2x+x+4=23\times2$

$$\Rightarrow \ \ 3x=46-4$

$$\Rightarrow \ \ 3x=42$

$$\Rightarrow \ \ x=14$

Aprils's age = 14 years

Laura's age = $\frac{14}{2}+2$

= 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

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3 years ago

Please help!!! the question is in the picture above— this is geometry

Serga [27]

Use the co‐interior rule, corresponding angle rule, alternate angle rule and vertical opposite angle rule to solve the question above.

angle G5 = angle K1 reason : corresponding angles

angle J1 = angle H3 reason: vertical opposite angles

angle J2 = angle K4 reason: vertical opposite angles

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2 years ago

What is the slope and the y-intercept of f(x)= -2x+6

murzikaleks [220]

Answer:

slope = - 2 and y- intercept = 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 6 ← is in slope- intercept form

with slope m = - 2 and y- intercept c = 6

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3 years ago

Read 2 more answers