Answer:
<em>b = 50√c</em>
Step-by-step explanation:
If b varies directly as the square root of c, this is expressed as;
b∝√c
b = k√c
k is the constant of proportionality
Given b = 100 and c = 4
100 = k√4
100 = 2k
k = 100/2
k = 50
Substitute k = 50 into the original expression:
Recall that: b = k√c
b = 50√c
<em>hence equation that can be used to find other combinations of b and c is b = 50√c</em>
The vertex is (-1,1)
Explanation
The vertex formula to find the x coordinate of the formula is -b/2a
So we plug in the values into the formula which is
-4/2(2)
Simplify it
-4/4
=-1
-1 is now the x cord of the vertex.
So now we will plug in the x into the quadratic equation which is 2x^2+4x+3
2(-1)^2 + 4(-1) + 3 = 2 -4 +3
Simplify it
5 - 4= 1
Y=1
So the Coordinates of the vertex is (-1,1)
The total of the faces touching the ground is 15.
<h3 /><h3>What is probability?</h3>
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Given that:
Four usual dice are thrown
Total of numbers on the top faces of these four dice = 13
we know that in a dice, the sum of the numbers on any two opposite faces is always 7.
So,1 is opposite 6,
2 is opposite 5
and 3 is opposite 4.
Now, when 4,3,1 and 5 are the numbers on the top faces, then 3,4,6 and 2 respectively are the numbers on the face touching the ground as they sum upto 7.
Hence, total o faces touching the ground =3+4+6+2=15.
Learn more about probability here:
brainly.com/question/28203837
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Answer:
A) GCF = 
B) (3b + 10) = 0
C) b = 0, b = -10/3
Step-by-step explanation:
