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3 years ago

HELP ME PLEASE

Mathematics

1 answer:

Mashutka [201]3 years ago

4 0

Answer:

$9 + \frac{n}{3} - 6 = 7$

Step-by-step explanation:

Given

$9 + \frac{n}{3} - 6$

Required

Evaluate when n = 12

Substitute 12 for n in $9 + \frac{n}{3} - 6$

$9 + \frac{n}{3} - 6 = 9 + \frac{12}{3} - 6$

Simplify the fraction

$9 + \frac{n}{3} - 6 = 9 + 4 - 6$

$9 + \frac{n}{3} - 6 = 7$

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I just am confused what to do on 11-16 and if able to can’t 1-9 be checked

viktelen [127]

Answer:

add all the sides that you have and subtract it from 180

Step-by-step explanation:

5 0

2 years ago

-3,0,3,6,9 arithmetic sequence

astraxan [27]

Answer:

Adding 3

Step-by-step explanation:

-3 + 3 = 0

0 + 3 = 3

3 +3 = 6

6 + 3 = 9

4 0

3 years ago

Given m

Lilit [14]

Answer:

x = 41°, y = 139°

Step-by-step explanation:

The given parameters are;

Line m is parallel to line n and lines m and n have a common transversal

The corresponding angles formed by the common transversal to the two parallel lines are 41° on line m and x° on line n

Therefore, x° = 41° by corresponding angles formed between on two parallel lines by a common transversal are equal

x° and y° are linear pair angles and they are, supplementary

∴ x° + y° = 180°

∴ x° + y° = 41° + y° = 180°

y° = 180° - 41° = 139°

y° = 139°.

3 0

3 years ago

A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate

yulyashka [42]

Answer:

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

$\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}$

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

$C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)$

$C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)$

At C'(x) = 0

$\dfrac{12500}{x^2} = 20$

$\dfrac{12500}{20} = x^2$

$x^2= 625$

$x = \sqrt{625}$

x = 25

$C'' (x) = -12500 \times \dfrac{-2}{x^3} +0$

$C'' (x) = \dfrac{25000}{x^3}$

where; x = 25

$C'' (x) = \dfrac{25000}{25^3}$

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0

3 years ago

What does the quadratic function f(x)=x^2-10x+9 look like when it is rewritten in the form f(x) = a (x-h) + k

Tatiana [17]

ANSWER

When $f(x)=x^2-10x+9$ is written in the form $f(x)=a(x-h)^2+k$ , it looks like $f(x)=(x-5)^2-16$

EXPLANATION

To write $f(x)=x^2-10x+9$ in the form $f(x)=a(x-h)^2+k$ , we have to complete the squares.

We add and subtract half the coefficient of $x$ square.

$f(x)=x^2-10x+(-5)^2-(-5)^2+9$

The first three terms of the function is now a perfect square.

$f(x)=(x-5)^2-25+9$

We now simplify rto obtain,

$\Rightarrow f(x)=(x-5)^2-16$

6 0

3 years ago