Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.
Answer:
(7×x)+14
Step-by-step explanation: Because we have 14 added to something, we will need a + to whatever we are adding to. The product of 7 and a number is 7×x because product is the number you get after multiplication. So we get 7×x+14. You dont need parenthesis
Hope this helps!
Answer:
Step-by-step explanation:
Answer:
<h3>0.063</h3><h2>
Step-by-step explanation:</h2>
<h3>probability is defined as the measure of chances of events happening or chances of occurrence.The probability that an event can happen is zero(0)</h3><h3>Probability can be calculated using the formular: number of required outcome all over number of total possible outcome.</h3>
Probability of 3 red = 7/16 x 6/15 x 5/14 = (7)(6)(5)/(16)(15)(14)=
6x5/16x15x2 = 5/16x5= 1/16 = (1/2)(.125) = 0.0625
Probability of 3 reds = 0.0625
round off to thousandths Pr(3R) = 0.063
