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serious [3.7K]
2 years ago
14

5m - 4z + 8m + 3 – 2z

Mathematics
1 answer:
Lelu [443]2 years ago
7 0

Answer:

13m-6z+3

Step-by-step explanation:

5m-4z+8m+3-2z

5m+8m-4z-2z+3

13m-6z+3

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Someone can help me with 31 & 33? i need help
nika2105 [10]

31. It gives you the equation f(x) = -2x + 4 and asks you to solve for f(12). To solve this you must replace x in the equation -2x + 4 with 12 like so:

-2(12) + 4

Remember that when solving this use your rules of PEMDAS. In this case you will first multiply -2 and 12 then add the product with 4

-24 + 4

f(12) = -20

33. Replace x in the equation x³ - x with 5 like so...

5³ - 5

Again, remember to use the rules of PEMDAS to solve this. First take the cube of 5 then subtract 5 from the answer

125 - 5

g(5) = 120

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0
3 years ago
Read 2 more answers
Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.
mars1129 [50]

Answer: Option D is correct.

Step-by-step explanation:

Since we have given that

focus = (-5,5)

and a directrix y= -1

Since, equation of parabola in this case will be

(x-h)^2=4.a(y-k)

Now, here

y=k-a=-1\\\\\text { focus =(h,k+a)}\\\\\text{So,} k+a=5\\\\\text{ by solving these two equation , we get }\\\\a=3\text{ and } k=2

So equation will be

(x+5)^2=4\times 3(y-2)\\\\(x+5)^2=12(y-3)\\\\y=\frac{1}{12}(x+5)^2+2

So, option D is correct .

4 0
3 years ago
Read 2 more answers
The graph of the function P(x) = −0.52x2 + 23x + 92 is shown. The function models the profits, P, in thousands of dollars for a
elena-14-01-66 [18.8K]

Answer:

6.84 ≤ x ≤ 37.39

Step-by-step explanation:

we have

P(x)=-0.5x^2+23x+92 -----> equation A

we know that

The company wants to keep its profits at or above $225,000,

so

PXx)\geq 225 -----> inequality B

Remember that P(x) is in thousands of dollars

Solve the system by graphing

using a graphing tool

The solution is the interval [6.78,39.22]

see the attached figure

therefore

A reasonable constraint for the model is

6.84 ≤ x ≤ 37.39

4 0
3 years ago
Which of the following expressions is equal to 5 to the 6th power divided by 5 to the 5th power
Jobisdone [24]
Asey

remember
\frac{x^m}{x^n}=x^{m-n}
so

\frac{5^6}{5^5}=5^{6-5}=5^1=5

8 0
3 years ago
Read 2 more answers
It takes you 47 seconds to walk from the first​ (ground) floor of a building to the third floor.
Musya8 [376]

Answer: 117.5 seconds

Step-by-step explanation:

Given : It takes you 47 seconds to walk from the first​ (ground) floor of a building to the third floor.

Since from first floor to third , a person need to pass two levels of staircase.

We assume that the person walk at the same​ pace and the height of all floors are same.

The time taken to pass each level = (Time taken to pass 2 levels) ÷ 2

= (47 seconds)  ÷ (2) = 23.5 seconds

Also, the from first floor to sixth floor , a person need to pass 5 levels of staircase.

Then, the time taken to pass each level = 5 x (Time taken to pass one level)

= 5 x 23.5 =117.5 seconds

Hence, it will take 117.5 seconds to walk from the first floor to the sixth floor.

4 0
3 years ago
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