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alex41 [277]
4 years ago
15

-9h+(-5)+(13h+10)+(-7h)+(-9)

Mathematics
2 answers:
UNO [17]4 years ago
5 0
The answer would be  -3h-2
jonny [76]4 years ago
4 0
The answer to that question is -3h + -4 , Because I combined like terms
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Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Funct
expeople1 [14]

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}

Function B:

y = -4.5x + 15

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where:

(x_1,y_1) = (1.5,5)

(x_2,y_2) = (2.5,0)

So, we have:

m = \frac{0-5}{2.5 - 1.5}

m = \frac{-5}{1}

m = -5

For function B

The general function is:

y = mx + b

Where

m is the rate of change

By comparing y = mx + b to y = -4.5x + 15

m = -4.5

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

4 0
3 years ago
What is the standard form of the equation y=-3/2x+5
Verdich [7]

y =   - \frac{3}{2}x  + 5 \\ y =  -  \frac{3x}{2}  + 5 \\ y =  -  \frac{3x}{2}  +  \frac{5 \times 2}{1 \times 2}  \\ y =  -  \frac{3x}{2}  +  \frac{10}{2}  \\  y =  \frac{ - 3x + 10}{2}
or you can turn it like this...
2y =  10 - 3x
4 0
4 years ago
Read 2 more answers
How many tablets should a 39 kg patient take every four hours?
PolarNik [594]
50 mg/kg/day x 34 kg = 1700 mg/day
1700 mg/day x 1 day/24 hrs x 4 hrs = 283 mg every 4 hrs

283 mg/4hrs x 1 tablet/400 mg = 0.7 tablets

So to acieve the desired dose, the pati should take seven tenths of a tablet every 4 hours. Thats an unusual dosage since it’s difficult to take 0.7 tablet. The question didnt ask about the liquid suspension so I didn’t include that.
4 0
3 years ago
Mr. Rush wants to store 20.5 cups of spaghetti sauce in containers. Each container holds a maximum of 2.5 cups of sauce. What is
Natali5045456 [20]

The answer is 9

Explanation:

We know the total amount of spaghetti sauce is 20.5 cups; additionally, each container can be filled with a maximum of 2.5 cups of this sauce. In this context, the process to know the number of containers Mr. Rush needs to store all the sauce is to divide the total amount by the amount each container can hold.

20.5 cups of sauce ÷ 2.5 cups per container = 8.2 containers

This means 8 containers can be completely filled and a ninth container is required to hold the small amount of the sauce missing (0.2)

6 0
4 years ago
Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = Product of the two numbers.
Naddik [55]
Sol. (1) Prime factors of 26 = 2 x 13
Prime factors of 91 = 7 x 13
Hence, HCF = Common factors between 26 and 91 =13 and LCM=13x2x7=182

Now product of numbers 26 and 91
= 26 x 91 = 2366 and Product of HCF and LCM = 13 x 182 = 2366

So, it verify that product of two numbers = Product of HCF and LCM.

(2) Prime factors of 510 = 2 x 3 x 5 x 17
Prime factors of 92 = 2 x 2 x 23
Hence,HCF=2 and LCM=2×2×3 × 5×17×23 =23460

Now product of Numbers 510 and 92 = 46920 and product of HCF and LCM = 2 x 23460= 46920

Hence, verified that product of two numbers 18 equal to product of their HCF and LCM.

(3) Prime factors of336 = 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 54 = 2 x 3 x 3 x 3
Hence, HCF (Product of common factors of 336 and 54)
=2 x 3=6

And LCM (Product of all common factors with remaining factors)
=(2 x 3)x 2 x 2 x 2 x 3 x 3 x 7=3024

Now, product of numbers 336 and 54 = 336 x 54 = 18144
and product of HCF and LCM = 6 x 3024 = 18144
Hence, product of two numbers: Product of HCF and LCM.
5 0
3 years ago
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