What quadrilateral is best depicted below?

Richard's cumulative GPA for 3 semesters_ was 2.0 for 42 credits. His fourth semester GPA was 4.0 for 14 course units. What is R

Phoenix [80]

Answer:

Richard's cumulative GPA = 2.5

Step-by-step explanation:

Richard's cumulative GPA for 3 semesters was 2.0 for 42 credits.

Average = 2

Total credits = 42

Average = sum of terms/total no of terms

2 = sum of terms/42

sum of terms = 84 ....(1)

His fourth semester GPA was 4.0 for 14 course units

Average = 4

Total credits = 14

sum of terms = 56 .....(2)

Average for 4 semesters,

$A=\dfrac{84+56}{42+14}\\\\A=2.5$

Hence, Richard's cumulative GPA for all 4 semesters is 2.5.

8 0

3 years ago

I have no idea what im doing someone help pls! due soon

Irina18 [472]

4x2-28x+49

Final result :

(2x - 7)2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(22x2 - 28x) + 49

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 4x2-28x+49

The first term is, 4x2 its coefficient is 4 .

The middle term is, -28x its coefficient is -28 .

The last term, "the constant", is +49

Step-1 : Multiply the coefficient of the first term by the constant 4 • 49 = 196

Step-2 : Find two factors of 196 whose sum equals the coefficient of the middle term, which is -28 .

-196 + -1 = -197

-98 + -2 = -100

-49 + -4 = -53

-28 + -7 = -35

-14 + -14 = -28 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and -14

4x2 - 14x - 14x - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (2x-7)

Add up the last 2 terms, pulling out common factors :

7 • (2x-7)

Step-5 : Add up the four terms of step 4 :

(2x-7) • (2x-7)

Which is the desired factorization

Multiplying Exponential Expressions :

2.2 Multiply (2x-7) by (2x-7)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (2x-7) and the exponents are :

1 , as (2x-7) is the same number as (2x-7)1

and 1 , as (2x-7) is the same number as (2x-7)1

The product is therefore, (2x-7)(1+1) = (2x-7)2

Final result :

(2x - 7)2

7 0

3 years ago

Read 2 more answers

Kendra is considering two different long-distance phone plans. Phone plan A charges a $100 sign-up fee and 3 cents per minute. P

Fed [463]

Answer:

Part 1) The number of minutes in a month must be greater than 50 in order for the plan A to be preferable

Part 2) The number of minutes in a month must be equal to 50 minutes

Step-by-step explanation:

The question is

Part 1) How many minutes would Kendra have to use in a month in order for the plan A to be preferable? Round your answer to the nearest minute

Part 2) Enter the number of minutes where Kendra will pay the same amount for each long distance phone plan

Part 1)

Let

x ---> the number of minutes

we have

Cost Plan A

$3x+100$

Cost Plan B

$5x$

we know that

In order for plan A to be cheaper than plan B, the following inequality must hold true.

cost of plan A < cost of plan B

substitute

$3x+100 < 5x$

solve for x

subtract 3x both sides

$100< 5x-3x\\100$

divide by 2 both sides

$50 < x$

Rewrite

$x> 50\ min$

therefore

The number of minutes in a month must be greater than 50 in order for the plan A to be preferable

Part 2)

Let

x ---> the number of minutes

we have

Cost Plan A

$3x+100$

Cost Plan B

$5x$

we know that

In order for plan A cost the same than plan B, the following equation must hold true.

cost of plan A = cost of plan B

substitute

$3x+100= 5x$

solve for x

$5x-3x=100\\2x=100\\x=50\ min$

therefore

The number of minutes in a month must be equal to 50 minutes

5 0

3 years ago

What is the value of 32 x 107 in scientific notation?

JulsSmile [24]

Answer:

32x107=3424=3,424* $10^{3}$

Step-by-step explanation:

6 0

4 years ago

The enrollment at a local college increased by 9% over last year's enrollment of 3900. Find the current enrollment.

lubasha [3.4K]

Increased enrollment =9%
Last enrollment=3900
Current enrollment=9%of3900+3900
=9×3900/100+3900
=351+3900
=4451

6 0

3 years ago