Gfc to reduce fractions 28/14

Answer:

B.[tex](x-5)(x+3)[/tex]

Step-by-step explanation:

We are given that an expression

[tex]a^2-2x-15[/tex]

We have to find the binomial  factors of the given expression.

[tex]x^2-2x-15[/tex]

To find the factors of given expression we will use of  middle term splitting factor method.

The given can be written as

[tex]x^2-5x+3x-15[/tex]

[tex]x(x-5)+3(x-5)[/tex]

Taking (x-5) common

[tex](x-5)(x+3)[/tex]

Hence, the binomial factors of given expression is given by

[tex](x-5)(x+3)[/tex]

Option B is true.

The linear equation to model the relationship between the weight of strawberries and time can be found using the slope and y-intercept. The equation is S = 690T - 560.5. In 11 hours, the cannery can process 7109.5 pounds of strawberries.

To write a linear equation to model the relationship between the weight of strawberries S and time T, we need to determine the slope and the y-intercept. The slope represents the rate at which strawberries are processed per hour, while the y-intercept represents the initial amount of strawberries processed.

Using the given information, we can use the formula for calculating the slope (m) of a line: m = (y2 - y1) / (x2 - x1). Plugging in the values, we have: m = (2320 - 1445) / (7 - 4.5) = 690 pounds/hour.

Next, we can calculate the y-intercept (b) using the formula: b = y - mx. Plugging in the values for one of the points (1445 pounds in 4.5 hours), we have: 1445 = 690(4.5) + b. Solving for b, we get: b = -560.5 pounds.

Therefore, the linear equation to model the relationship between the weight of strawberries S and time T is: S = 690T - 560.5. To find the number of pounds of strawberries that can be processed in 11 hours, we can substitute T = 11 into the equation: S = 690(11) - 560.5 = 7109.5 pounds.

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You have a fractions, so the only thing you must be sure of is that the denominator is not zero.

In your case, the denominator is given by the function f(w)=3w9. You need to find out the values of w for which f(w)=0. You have
f(w)=0⇔3w9=0⇔w9=0⇔w=9√0=0

So, your only problem is w=0, and all other numbers are fine.

Your domain is thus given by the set {x∈R∣x≠0}

The domain can also be written as (−∞,0)∪(0,+∞).

2^2 x 3^2 is the answer... don't be rude and mark the other person bad she gave you a good explanation and fixed your question AND got the answer right... write you question correctly cause you probably just copied it and didn't fix it up!

Just do this for future questions!

The correct answer is statement (c) The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid.

The formula for the volume of a cylinder demonstrates how the area of a circle is used to find the volume of the cylinder. Specifically, the volume of a cylinder is given by [tex]\pi r^2h[/tex], where r is the radius of the base (a circle), and h is the height of the cylinder.

This means that the area of a circle [tex](\pi r^2)[/tex] is multiplied by the height (h) of the cylinder to obtain the volume. This clearly shows how the area of a circle is extended into three dimensions to derive the volume of a cylinder.

Complete question :

Which of these shows how the formulas for the area of a circle and the volume of a cylinder are related?

(a) The area of a circle provides the radius of the cylinder’s base. Dividing that by the surface area of the cylinder’s base adds the third dimension of the solid.
(b) The area of a circle provides the height of the cylinder. Multiplying that by the surface area of the cylinder’s base adds the third dimension of the solid.
(c) The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid.

By setting up a proportion based on the concept of similar triangles, we can solve for the length of Hue's friend's shadow, which is 18 inches.

To find the length of Hue's friend's shadow, we can use the concept of similar triangles. The ratio of Hue's height to his shadow's length is the same as the ratio of his friend's height to his friend's shadow's length, assuming the sun's rays are parallel and create similar angles with respect to the ground for both individuals.

Hue's height to shadow length ratio is 56 inches to 24 inches. Let's denote the length of his friend's shadow as x inches. We can set up a proportion:

56 inches (Hue's height) / 24 inches (Hue's shadow) = 42 inches (friend's height) / x inches (friend's shadow)

Solving for x, we get: 56/24 = 42/x, which simplifies to x = (42 * 24)/56 = 18. Therefore, Hue's friend's shadow is 18 inches long.

Hello There!

61 is a prime number.

Its only factors are: 1 and 61. It has no more factors.

#HaveAnAmazingDay

Hope this helps!

[tex]GraceRosalia[/tex]

The combined total weight of the cans and bottles in the truck, if x represents the number of 14-ounce cans, can be represented by the expression 14x + 70(930 - x). This combines the weight of the 14-ounce cans (14x) with the weight of the 70-ounce bottles (70(930-x)).

In order to find the expression for the combined total weight (in ounces) of the cans and bottles in the truck, we have to first determine the number of bottles. We know that the total number of cans and bottles is 930, so the number of bottles would be 930 - x. Each can weighs 14 ounces and each bottle weighs 70 ounces. Therefore, the total weight in ounces will be the sum of the weight of cans and the weight of bottles. This can be represented as 14x + 70(930 - x). This expression represents the combined total weight in ounces of the items in Amanda's truck.

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The correct answer is:

      Their estimate is longer than the time it will actually take.

( Since, Estimated time-- 1 hour=60 minutes

Time actually taken= 28.125 minutes )

Time taken by Shandra alone to mow the field is: 45 minutes.

Time taken by Kelly alone to mow the field is: 1 hour 15 minutes.

We know that:

1 hour=60 minutes

Hence, 1 hour 15 minutes=60 minutes +15 minutes=75 minutes.

By looking at the time we consider that the total work be of 225 units.

This means that the Efficiency of Shandra is: 225/45=5 units/minutes.

Similarly,

Efficiency of Kelly is: 225/75=3 units/minutes.

Hence, 5+3=8

Hence, the time taken by both of them when they work together is:

225/8

= 28.125 minutes.

But it was estimated that they took 1 hour=60 minutes.

Hence, there estimation of time taken was longer than what they actually took.

Answer: True.

Step-by-step explanation:

Hi, the statement "In the normal distribution, values in the distribution being measured are close to the mean (high or low values are infrequently found)." is true.

The normal distribution is a probability function that how the values of a measure are distributed. Most of the values cluster around the mean, it’s a symmetric distribution.

Normal or Gaussian distributions Means that many variables have similar characteristics. So, middle values have higher probability or are more likely to occur, and extremely low or high values are more infrequent.