Answer:
Step-by-step explanation:
Correct steps to find the value of 'a' should be,
Braulio's synthetic division should be,
-1 | 1 5 a -3 11
<u> -1 -4 (4 - a) (a - 1) </u>
1 4 (a - 4) (1 - a) (a + 10)
Here remainder is (a + 10).
So (a + 10) = 17 ⇒ a = 7
Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.
Zahra's calculation by remainder theorem should be,
p(x) = x⁴ + 5x³ + ax² - 3x + 11
p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11
= 1 - 5 + a + 3 + 11
= (a + 10)
Since, remainder of the solution is 17,
(a + 10) = 17 ⇒ a = 7
Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).
Answer:
Sinister Stan needs 1/40 oz more slime for his evil plan.
Step-by-step explanation:
6 3/8-3 3/4-2 3/5 = 51/8-15/4-13/5 = 255/40-150/40-104/40 = 1/40
Answer:
The equation in slope-intercept form for the path of the trumpet players is
.
Step-by-step explanation:
Consider the provided information.
The drummers will march along the line y=-5x-8.
The trumpets players will march along a perpendicular line that passes through (-2,2).
The slope of line y=-5x-8 is: m₁ = -5.
The slope of perpendicular lines are: 


Hence, the slope of the line should be 1/5.
The line passes through (-2,2).
Now use point slope form to find the equation of line.

Substitute m=1/5, x₁=-2 and y₁ = 2 in above formula.




Hence, the equation in slope-intercept form for the path of the trumpet players is
.
The pH value of a solution is a logarithmic function of the hydronium ion concentration in the solution. Since we are given the pH foe both we can easily calculate the H+ ion concentration as follows:
Aeen
3.3 = -log (H+)
H+ = 0.04 M
Marien
2.7 = - log (H+)
(H+) = 0.07 M
Therefore, Aeen's drink is 0.07/0.04 or 2 times more hydrogen ion concentration than Marien's drink.
Answer:
g(x) exceed f(x) by
when 
Step-by-step explanation:
step 1
Find the equation of function f(x)
we know that
The initial value is the y-intercept of the linear function (value of y when the value of x is equal to zero)
so

The rate of change is equal to the slope
so

therefore

step 2
Find the equation of function g(x)
Let

Find the slope

----> point A
therefore

step 3
Find the value of f(x) and g(x) for 


Find the difference
