MATHEMATICS COLLEGE

Is 4 a solution to the equation 5+x=10? Explain.

Answers

Answer 1

Answer:

9514 1404 393

Answer:

no, it makes the equation false

Step-by-step explanation:

A "solution" is a value of x that makes the equation true. When we use 4 in place of x here, we get ...

5 + 4 = 10

9 = 10 . . . . . . . a false statement

The value x=4 does not make the equation true, so it is not a solution.

Answer 2

Answer:

Answer:no

Step-by-step explanation:

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rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.

Answers

Consider this option:
1. area_rombus=a*h, where a=6 - the length of the side, h - height.
h=area_rombus/a.
2. area_sq=a², where a=6 - the length of the square.
area_sq=36, area_rombus=4/5 *36=28.8.
3. according to the item 1 h=area_rombus/a=28.8/6=4.8.

answer: 4.8

Answer:

4.8 cm

Step-by-step explanation:

A new DVD is available for sale in a store one week after its release. The cumulative revenue, $R, from sales of the DVD in this store in week t after its release is R=f(t)=350 ln tR=f(t)=350lnt with t>1. Find f(5), f'(5), and the relative rate of change f'/f at t=5. Interpret your answers in terms of revenue.

Answers

Solution :

It is given that :

$f'(t) = (350 \ln t)'$

$=350(\ln t)'$

$=(350)/(t)$

So, $f(5)=350 \ln (5) \approx 563$

$f'(5) = (350)/(5)$

$=70$

The relative change is then,

$(f'(5))/(f(5))=(70)/(350\ \ln(5))$

$=(1)/(5\ \ln(5))$

$\approx 0.12$

$=12\%$

This means that after 5 weeks, the revenue from the DVD sales in $563 with a rate of change of $70 per week and the increasing at a continuous rate of 12% per week.

A rectangular plot of land has a width of (2x+3) feet and a length of (3x-1) feet. Express the AREA as a function of x.

Answers

Answer:

11x-1

Step-by-step explanation:

Area =length x width

so multiply (2x+3) and (3x+1) to get 11x-1

Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?