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emmasim [6.3K]
3 years ago
15

What is the value of the expression?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0
-2/5 - (3/7) <span>× (7/10)
</span>= -2/5 - (21/70) 
<span>= -2/5 - 3/10
</span><span>= -4/10 - (3/10) 
</span>= -7/10

Or

-0.7 (Decimal Form)

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Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?
Marysya12 [62]

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

y = mx+b

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

y = mx+b

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

7 0
3 years ago
Differentiate the function with respect to x<br> f(x)= x^4/ x^2- 4<br> Show work
jeyben [28]

Answer:

Step-by-step explanation:

f(x)=\frac{u}{v} ,u~ and~ v~ functions~ of~ x\\f'(x)=\frac{v ~u'-u~v' }{v^2} \\f(x)=\frac{x^4}{x^2-4} \\f'(x)=\frac{(x^2-4)*4x^3-x^4(2x)}{(x^2-4)^2} \\=\frac{2x^3(2x^2-8-x^2) }{(x^2-4)^2} \\=\frac{2x^3(x^2-8)}{(x^2-4)^2}

7 0
2 years ago
The temperature at 2 a.m. was -10°C.
horsena [70]

Answer:

-1

Step-by-step explanation:

8 0
3 years ago
After spending $3,450 for tables and $3,950 for chairs, a convention center manager finds that the total is 4% more than he spen
g100num [7]
We are given with two current costs : $3,450 for tables and $3,950 for chairs .The total cost then is equal to $7,400. This is said to be 4% more than he spent  last year. so last year's expenses should be <span> $7,400 / 1.04 equal to $7115.39. The cost last year is expected to be less</span>
4 0
3 years ago
Read 2 more answers
-52 times the difference between a number and 14 is equal to the number plus 3
xenn [34]
X=number looked for
we have this equation:
-52(x-14)=x+3
we solve this equation:
-52x+728=x+3
-52x-x=3-728
-53x=-725
x=-725/-53=725/53 ≈13,68

Solution: 725/53

To check:
the difference between 725/53 and 14=725/53  - 14=(725-742)/53=-17/53
-52 times the diference is= -52(-17/53)=884/53
The number plus 3=725/53 + 3=(725+159)/53=884/53
3 0
3 years ago
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