The possible values of b are 7 and 8
<h3>How to determine the possible values of x?</h3>
The expression is given as:
4x² + bx + 3
Next, we test the options to determine the values of b
<u>Option 1: b = 13</u>
So, we have:
4x² + 13x + 3 ---- this cannot be factorized
<u>Option 2: b = 7</u>
So, we have:
4x² + 7x + 3
Expand
4x² + 4x + 3x + 3
Factorize
4x(x +1) + 3(x + 1)
Factor out x + 1
(4x + 3)(x + 1) ------ this can be factorized
<u>Option 3: b = 8</u>
So, we have:
4x² + 8x + 3
Expand
4x² + 6x + 2x + 3
Factorize
2x(2x +3) + 1(2x + 3)
Factor out 2x + 3
(2x + 3)(2x + 1) ------ this can be factorized
<u>Option 4: b = 1</u>
So, we have:
4x² + x + 3 ---- this cannot be factorized
Hence, the possible values of b are 7 and 8
Read more about factorized expressions at:
brainly.com/question/723406
#SPJ1
Answer:
figure it out
Step-by-step explanation:
u have to take y2-y1 and x2-x1
Answer:
The correct order is :
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
Answer:
12m²
Step-by-step explanation:
For a rectangle, with length L and width W,
the perimeter is given as
Perimeter,
P = (2 x Length) + (2 x Width)
P = 2L + 2W
It is given that the perimeter is 48, hence
48 = 2L + 2W (divide both sides by 2)
24 = L + W
or
L = 24 - W -----> eq 1
Also realize that the Area of a Rectangle is given by
A = L x W -----> eq 2
Substituting eq 1 into eq 2,
A = (24 - W) x W
A = -W² + 24W
Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) = -b/2a
In this case, b = 24 and a = -1
-b/2a = -24/[ 2(-1) ] = 12
Hence for A to be maximum A(max) = 12m² (Answer)
Umm what? I don’t think i can answer this cause i can barely read it.
