<h3>
Answer: Choice B. x = 4 and x = 3</h3>
Work Shown:
x^2 - 7x = -12
x^2 - 7x + 12 = 0
(x - 3)(x - 4) = 0 ... see note below
x - 3 = 0 or x - 4 = 0
x = 3 or x = 4
Note: we're looking for two numbers that multiply to 12 and add to -7. Those two numbers are -3 and -4, so that's where the factorization (x-3)(x-4) comes in. After this step, you set each factor equal to zero and solve for x.
Answer:
The width is 4 feet
Step-by-step explanation:
Yes, I might be able to answer it! Hello there!
In this question, we are asked to calculate the height of a pool which has a shape of right rectangular prism.
The key to solving this problem is simply by knowing the formula for the volume of a right rectangular prism.
Mathematically the volume V is w * h * l where w , h and l are the width, height and length respectively.
Now let’s input these values and get what the height of the pool is.
It would be easier if you had the measurements are in decimals;
137 1/2 becomes 137.5
6 1/4 becomes 6.25
5 1/2 becomes 5.5
kindly note the fraction 1/2 is 0.5 in decimals while the fraction 1/4 is 0.25 in decimals
So now let’s compute the height;
137.5 = w * 6.25 * 5.5
w = 137.5/(6.25 * 5.5)
w = 137.5/(34.375)
w = 4 feet
-10/3+3/4
-40/12+9/12
-31/12
-2 7/12
Answer:
The proportion of the population that is homozygous for the non-wiggling allele is 0.3056.
Step-by-step explanation:
Denote the variables as follows:
<em>q²</em> = number of people who are homozygous for the scalp-wiggling allele.
<em>p²</em> = number of people who are homozygous for the non-wiggling allele.
It is provided that the proportion of the population who are homozygous for the scalp-wiggling allele is, <em>q²</em> = 0.20.
Compute the value of <em>q</em> as follows:
Compute the value of <em>p</em> as follows:
Compute the proportion of the population who are homozygous for the non-wiggling allele as follows:
Thus, the proportion of the population that is homozygous for the non-wiggling allele is 0.3056.
-11, -3, 0, 7, 10
(-11 is least and 10 is greatest)
