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3 years ago

For what real value of b is the expression (1/2)b^2 + 5b - 3 minimized?

Mathematics

2 answers:

Margaret [11]3 years ago

7 0

Answer:

(1/2)b^2 + 5b - 3

Step-by-step explanation:

babunello [35]3 years ago

7 0

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If 7x+3=24 what is the value of 5-4x?

sleet_krkn [62]

If 7x+3=24, that means x would be 3 so if you take 5-4x then that would be -7.

5 0

4 years ago

Read 2 more answers

Create a matrix that is equal to F+G. The first matrix below is named F and the second matrix below is named G. Name the new mat

likoan [24]

F+G:

$F+G=\begin{bmatrix}{-1.8} & {-8.6} & {} \\ {2.85} & {-1.4} & {} \\ {-1.8} & {5.1} & {}\end{bmatrix}+\begin{bmatrix}{1.32} & {-1.9} & {} \\ {2.25} & {0.0} & {} \\ {-6.2} & {1.4} & {}\end{bmatrix}$

Then, add the elements that occupy the same position:

$H=\begin{bmatrix}{-1.8+1.32} & {-8.6+(-1.9)} & {} \\ {2.85+2.25} & {-1.4+0.0} & {} \\ {-1.8+(-6.2)} & {5.1+1.4} & {}\end{bmatrix}$

Solve

$H=\begin{bmatrix}{-0.48} & {-10.5} & {} \\ {5.1} & {-1.4} & {} \\ {-8} & {6.5} & {}\end{bmatrix}$

So, we find the element at address h31:

$H=\begin{bmatrix}{h11} & {h12} & {} \\ {h21} & {h22} & {} \\ {h31} & {h32} & {}\end{bmatrix}$

In this case, position h31 is - 8.0

8 0

1 year ago

Juanita is scrapbooking. She usually completes about 9 pages per hour. One night last week she completed pages 23 through 47 in

Ad libitum [116K]

Answer:

Step-by-step explanation:

She worked at an average of 9.6 pages per hour. 47-23=24 pages 24 pg/2.5 hours= 9.6 pages per hour.

4 0

3 years ago

How many solutions are there to the equation below? 12x + 32 = 12x - 7

marshall27 [118]

0 solutions

move the x to one side, and the numbers to the other.

12x (-12x) + 32 (-32)= 12 (-12x) - 7 (-32)

12x - 12x = -7 - 32

0 = -39

0 ≠ -39

∴ you have 0 solutions

hope this helps

4 0

4 years ago

Read 2 more answers

Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.

denis-greek [22]

Answer:

<em>Lisa borrowed $8,500</em>

Step-by-step explanation:

<u>Simple Interest </u>

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

$\displaystyle P=\frac{I}{rt}$

Substituting:

$\displaystyle P=\frac{170}{0.048*5/12}$

$\displaystyle P=\frac{170}{0.02}=8,500$

Lisa borrowed $8,500

8 0

3 years ago