Answer:
<em> (∞, 3]</em>
Step-by-step explanation:
Given the inequality 4x−1<11
We are to find the solution set;
4x−1<11
Add 1 to both sides
4x−1+1<11+1
4x < 12
Divide both sides by 4
4x/4 = 12/4
x < 3
<em>Hence the solution set of the inequality is (∞, 3]</em>
Answer: Total cost= 7n + 5
Step-by-step explanation:
7 is the M (money per every candle) and 5 is the B (additional fee for every order)
Step-by-step explanation:
In order to find Volume for a rectangle use the formula: L * W * H
2 1/4 * 3/4 * 1 1/4 = 2 7/64
A cube with the side lengths of 1/4: 1/4 * 1/4 * 1/4 = 1/64
Divide 1/64, by the prisms volume, 2 7/64 to get 135.
I'm not sure if this is right, but I hope that helps! :)
Answer:
a) bijective
b) neither surjective or injective
c) injective
Step-by-step explanation:
Since we are looking from real numbers to real numbers, we want the following things
1) We want every real number y to get it. (surjective)
2) We want every y that gets hit to be hit only once. (injective).
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If we have both things then the function is bijective.
a) f(x)=5x+4 this is a line with a positive slope.
That means it is increasing left to right. Every increasing or even decreasing line is going to hit every real number y. This is a bijection.
b) g(x)=2x^2-2 is a parabola. Parabola functions always have y's that get hit more than once and not all y's get hit because the parabola is either open up or down starting from the vertex. This function is neither injective or surjective.
c) h(x)=1+(2/x) x is not 0.
1+(2/x) is never 1 because 2/x is never 0 for any x. This means the real number y=1 will never be hit and is therefore not surjective. This function is injective because every 1 that is hit is only hit once. If you want use the horizontal line test to see this.
To find the answer of this, you would need to find the lcm (lowest common multiple) The lcm of 6 and 4 is 24
SO you would need to multiply both fractions to get the denominator to 24
1/6 times 4 =4/16 1/4 times 6=6/24
Therefore 1/4 is greater