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2 years ago

Which expression is equivalent to (7 – 3k) – (4 – 5k) – (6 – 2k)?

Mathematics

1 answer:

gladu [14]2 years ago

3 0

Answer:

The right response is " $3(k-1)$ ". A further solution is given below.

Step-by-step explanation:

The given expression is:

⇒ $(7 -3k) - (4 - 5k) - (6 - 2k)$

On solving the above expression, we get

⇒ $7-3k-4+5k-6+2k$

⇒ $7-3k-10+7k$

⇒ $3k-3$

On taking "3" as common, we get

⇒ $3(k -1 )$

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Question 10(Multiple Choice Worth 1 points)

Mila [183]

Answer:
—6

Explanation:
In an expression with a negative number and a positive number, the negative will come on top. This meaning the product (end piece) will be negative. In this problem despite the signs we know 3•2 is 6. Now since one number is negative (3) and the other is positive (2) negative will come out on top.

* KEEP IN MIND *
+ and + = positive
- and + = negative

Easy Memo for Multiplication and Divison:
“Same sign add, different sign subtract”
Add = Positive (+)
Subtract = Negative (-)

8 0

3 years ago

What is the slope of a line between (-4,14) and (-16,8)

Bess [88]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

slope :

$slope \: = \: \frac{y2 - y1}{x2 - x1} = \frac{8 - 14}{ - 16 - - 4} = \frac{ - 6}{ - 12} = \frac{1}{2}$ = 0.5

7 0

3 years ago

Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth's 9th birthday, the tota

scZoUnD [109]

Answer:

editor edit

37,650

Step-by-step explanation:

37650

3 0

3 years ago

Find the surface area of a 7.4 cm long iron rod and 3.1 m radius

Debora [2.8K]

Answer:

144.2 cm

Step-by-step explanation:

Length of the iron rod is 7.4cm

Radius is 3.1m

Therefore the surface area can be calculated as follows

= 2πrl

= 2×3.142×3.1×7.4

= 144.2 I'm

Hence the surface area is 144.2cm

3 0

3 years ago

Pls help need answer asap pls provide explanation if you can if not than it is fine thx

leva [86]

Answer:

Correct options are B, C and E.

Step-by-step explanation:

From the graph, we see that,

A. The graph is a decreasing as the number of years are increasing.

So, the function is not representing an exponential growth.

B. From the graph, we see that,

At 0 years, the function value is at 500,000.

Thus, there was $500,000 initially when the owner started making withdrawals

C. From the graph, we see that,

At 10 years, the function value is at 300,000.

Thus, after 10 years, there is exactly $300,000 left in the account.

D. We have that, 'The amount that the owner withdraws is given by the slope of the points'.

So, the slope at different points is given by,

$\frac{300,000-500,000}{10-0}=\frac{-200,000}{10}=-200,00$

$\frac{100,000-200,000}{30-10}=\frac{-100,000}{10}=-100,00$

So, the amount withdrew each year is not same.

E. As, the y-axis represents the amount of money remaining when the owner started withdrawing.

The y-intercept is the point when the graph crosses y-axis i.e. when x = 0.

So, the y-intercept represents the amount of money withdrew at 0 years.

Thus, y-intercept represents the amount of money in the account when the owner started making withdrawals.

Hence, the correct options are B, C and E.

5 0

3 years ago