Answer:
7
Step-by-step explanation:
5x = 35
Divide both sides by 5
x = 7
Whenever you have an equation like this, you have to simply divide both sides by the coefficient.
Answer:
The inverse of f(x) is (x) = ± +
Step-by-step explanation:
To find the inverse of the quadratic function f(x) = ax² + bx + c, you should put it in the vertex form f(x) = a(x - h)² + k, where
- h =
∵ f(x) = 3x² - 3x - 2
→ Compare it with the 1st form above to find a and b
∴ a = 3 and b = -3
→ Use the rule of h to find it
∵ h = = =
∴ h =
→ Substitute x by the value of h in f to find k
∵ k = 3( )² - 3( ) - 2
∴ k =
→ Substitute the values of a, h, and k in the vertex form above
∵ f(x) = 3(x - )² +
∴ f(x) = 3(x - )² -
Now let us find the inverse of f(x)
∵ f(x) = y
∴ y = 3(x - )² -
→ Switch x and y
∵ x = 3(y - )² -
→ Add to both sides
∴ x + = 3(y - )²
→ Divide both sides by 3
∵ = (y - )²
→ Take √ for both sides
∴ ± = y -
→ Add to both sides
∴ ± + = y
→ Replace y by (x)
∴ (x) = ± +
∴ The inverse of f(x) is (x) = ± +
Hi!
Use The Percentage Formula To Solve:
385 ÷ 550 * 100 = 70
Mark pays 70% of the original price.
Answer:
Domain : {3, 1, 2, 4, 6, 5}
Step-by-step explanation:
Domain of a function is always defined by the input values (x-values).
Similarly range of any function is defined by the output values (y-values).
From the table given in this question,
Units given in the table will define the domain of the data.
Therefore, domain will be the set of numbers {3, 1, 2, 4, 6, 5}.
Answer:
$14
Step-by-step explanation:
Marissa has a Master's degree and earns annual salary of $80,400.
She works 40 hours per week for 48 weeks per year.
Her sister has a Bachelor's degree and earns an average of $58,000 per year.
She works 40 hours per week for 52 weeks per years.
Marissa works for a total of 40 × 48 = 1920 hours a year.
Her hourly wage = = $42 (rounded up to nearest dollar).
Her sister works for a total of 40 × 52 = 2080 hours
Her hourly wage = = $28 (rounded up to nearest dollar)
So Marissa's hourly wage is $42 - $28 = $14 more than her sister's hourly wage.