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1 year ago

Can someone help me out with these problems and show work please !!

Mathematics

1 answer:

AVprozaik [17]1 year ago

5 0

Answer:

13. 10a^4b²

14. -5y³ + 35y² - 10y

Step-by-step explanation:

Question 13:

(5a³b) (2ab) =

=10a^4b²

Question 14:

5y (-y² + 7y - 2) =

= -5y³ + 35y² - 10y

Hope this helps!

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The vending machine has sodas in a ratio of 3 Pepsi to 4 coke. If there are 24 Pepsis in the machine, how many total sodas are t

Natasha2012 [34]

Step-by-step explanation:

let the ration be c

3x and 4x

Now

3x +4x=24

4 0

3 years ago

Write a recursive and an explicit formula to represent the following sequence 52, 40, 28, 16,...

horrorfan [7]

Answer:

Explicit tn = 52 + (n - 1)*(-12)

Recursive = tn = t(n - 1) - 12

Step-by-step explanation:

The difference between term n and term n - 1 is can be found by taking the difference between and 2 consecutive terms.

t3 = 28

t2 = 40

d = t3 - t2

d = 28 - 40

d = - 12

Explicit

tn = a1 + (n - 1)*d

a1 = 52

d = - 12

tn = 52 + (n - 1)*(-12)

Example

Find t5

t5 = 52 + (5 - 1)*(-12)

t5 = 52 + 4 * - 12

t5 = 52 - 48

t5 = 4

Recursive

tn = t(n - 1) - 12

Example

t5 = t4 - 12

t5 = 16 - 12

t5 = 4 just as it did before.

5 0

2 years ago

If you rotate the point (2, 3) 90 degrees counterclockwise about the origin, what is the image of the point?

AlexFokin [52]

Rotation counterclockwise 90 degrees has the rule

(x,y) -> (-y,x)

So the image is obtained, according to the rule,
(2,3) -> (-3,2)

4 0

3 years ago

Megan counts by ones to 10.lee counts by fives to 20.who will say more numbers ? Explain

Tamiku [17]

Megan beacuse he says 10 numbers

And lee says 4 number

5 0

3 years ago

Read 2 more answers

Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70 pounds of B grade tea. T

prisoha [69]

Answer:

Hence, (75,40) is the maximum point and maximum profit is $192.5

Step-by-step explanation:

Let the breakfast be x

And let the lunch or afternoon be y

Inequalities will become

$\frac{1}{3}x+\frac{1}{2}y\leq 45$

$\frac{2}{3}x+\frac{1}{2}y\leq 70$

And objective function will be

Z=1.5x+2.0y

You can see the graph in the attachement

ABCD is the feasible region

Points of feasible region is (0,90) ,(0,0) ,(75,40) and(105,0)

We have to find Z by substituting the points of feasible region

At (0,90) we get

Z=1.5(0)+2(90)

Z=180

At (0,0)

Z=1.5(0)+2(0)

Z=0

At (75,40)

Z=1.5(75)+2(40)

Z=192.5

At (105,0)

Z=1.5(105)+2(0)

Z=157.5

The maximum number we are getting is 192.5 which is at (75,40)

Hence, (75,40) is the point of maximum

4 0

3 years ago