k = 13The smallest zero or root is x = -10
===============================
Steps:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Please mark brainliest
<em><u>Hope this helps.</u></em>
Distribute the 5
25t-10=-35
+10 +10
25t =-25
divide by 25 on both sides
t=-1
Four batches can be made with 6 cups
1 in 38.
Nothing much to say about this problem. There are 38 spaces on the roulette wheel and an every space on a fair wheel has an equal probability of being selected. So you would expect 1/38 = 0.026315789 = 2.6315789% of the time for the number 21 to show up.
Answer:
0.05 AU corresponds to the 0.0769 Inches(<em>This calculation is not possible in real time world)</em>
Step-by-step explanation:
Given:
0.65 corresponds to 1 inch
To Find:
0.05 AU corresponds to how many inches.
Solution:
<em>The AU is astronomical unit which is preferred as the mean distance between earth and sun.</em>
<em>AU is too big unit and used in space distance calculation.</em>
But here for mathematical calculation,
0.65 AU corresponds to 1 inch
then 0.05 AU corresponds to x inch(es)
Now cross multiplying the quantities we get ,
0.65x=0.05*1
x=0.05/0.65
x=0.0769 inches corresponds to 0.05 AU
(Preferred for this example only)
<em>(Remember that this calculation is hypothetical and practically incorrect to use it).</em>
<em />