MATHEMATICS
MIDDLE SCHOOL

Answer: No, it is not possible for the orientation of a figure to change after it is translated. When it is being translated, the figure shifts or slides. However, it does not turn around or face the opposite direction.

HIGH SCHOOL

If 3 pounds of potato-salad feeds 15 people, how many pounds would you need for 200 people?

We are given the data about the ratio of the number of pounds of potato-salad and the number of people that can be fed. In this case, the ratio is 3 pounds/ 15 people or 1 pound of potato salad per 5 people fed. For 200 people, 200 people* (1 pound of potato salad per 5 people) is equal to 40 pounds of potato-salad

HIGH SCHOOL

_____ uses established rules to draw conclusions, whereas in _____, such rules are not established, and we may not know the consequences of evaluating and choosing alternatives. A) Heuristics/algorithms.

B) Reasoning/decision making.

C) Heuristics/reasoning.

D) Creativity/reasoning

Answer:

Reasoning, Decision making

Step-by-step explanation:

The reasoning is the process of mental. In the process, reasoning needs a reason for establishing the facts. This is a cognitive process. All people engage in reasoning due to their ability to introspection. The reasoning is different in every field in every aspect.

The cognitive process plays a role in both reasoning and decision making. These both are the sub-field creative thinking. Many factors create a barrier in decision making such as incomplete information, emotional and physical resources.

Thus when we may not know the consequences we used both reasoning and decision making.

MIDDLE SCHOOL

Jessie has 5 and 3/4 dozen eggs. How many eggs does Jessie have?

The answer is 14 eggs

There are 12 eggs in a dozen and 3/4 of a dozen is 9

So 5eggs+9eggs=14eggs

Hope this helps with your egg problem;)

There are 12 eggs in a dozen and 3/4 of a dozen is 9

So 5eggs+9eggs=14eggs

Hope this helps with your egg problem;)

If you mean 5 dozen eggs the answer is 69. if you mean 5 eggs the answer is 14

MIDDLE SCHOOL

What is the discrimination of 3x^2+6x=2

Discriminant, not discrimination. I'm not discriminating against you. ;)

You must re-write 3x^2+6x=2 in standard form: 3x^2 + 6x - 2

Here a=3, b=6 and c= -2

The discriminant is b^2 - 4ac. Here, it's 6^2 - 4(3)(-2), or 36 + 24, or 60.

This quadratic has two real, unequal, zeros.

You must re-write 3x^2+6x=2 in standard form: 3x^2 + 6x - 2

Here a=3, b=6 and c= -2

The discriminant is b^2 - 4ac. Here, it's 6^2 - 4(3)(-2), or 36 + 24, or 60.

This quadratic has two real, unequal, zeros.

60

D>0, there are 2 distinct real roots

Explanation:

3x2+6x−2=0

a=3,b=6,c=−2

The formula for discriminant is b2−4acSubstitute the given values.

b2−4ac

(6)2−4(3)(−2)

=60

therefore, D>0, there are 2 distinct real roots

D>0, there are 2 distinct real roots

Explanation:

3x2+6x−2=0

a=3,b=6,c=−2

The formula for discriminant is b2−4acSubstitute the given values.

b2−4ac

(6)2−4(3)(−2)

=60

therefore, D>0, there are 2 distinct real roots

HIGH SCHOOL

F(x) = x − 2 and g(x) = x2 − 7x − 9. Find f(g(−1))

A. -21

B.-3

C. 3

D.21

Hello :

g(-1) = (-1)² -7(-1)-9 =1+7-9 = -1

f(g(−1)) = f(-1) = -1-2 = -3.....( answer : B)

g(-1) = (-1)² -7(-1)-9 =1+7-9 = -1

f(g(−1)) = f(-1) = -1-2 = -3.....( answer : B)

MIDDLE SCHOOL

the endpoints of JK are J(-25,10) and K(5,-20). What is the y-coordinate of point L, witch decides JK the into a 7:3 ratio?

5- (-25) = 30 which is the x distance

30 * 7/10 = 21

-25+21 = -4 the x coordinate

110--20 = 30 which is the y distance

30 * 7/10 =21

10 -21 = -11 is the y coordinate

(-4, -11) is the point to split the segment into a 7:3 ratio

HIGH SCHOOL

The temperature fell from 0 degrees to 6 3/5 degrees below 0 in 2 1/5 hours. what was the temperature change per hour?

divide 6 3/5 by 2 1/5

6 3/5 = 33/5

2 1/5 = 11/5

33/5 / 11/5 = 3

the temperature dropped 3 degrees per hour

MIDDLE SCHOOL

A museum had 275,608 visitors last year what is the number rounded to the nearest thousand

It would be 276,000 since 5,608 would round to 6,000

The 6 would round the 5 up. in rounding any number of 5 or higher can round the digit up. (sorry if this sounds unclear or confusing in any way)

HIGH SCHOOL

If four is half of five and two thirds of six is nine. what is thirty-two?

Four is IV which is half of five. IX is nine which is 2 thirds of 6 so... thirty-two is 1 5/6