MATHEMATICS HIGH SCHOOL

Please help me ASAP!!

Answers

Answer 1

Answer:

The answer is D, i.e. the system was solved via elimination

If you multiply the first equation by 5, the system becomes

$\left \{ {{-5x-10y=35} \atop {5x-6y=-3}} \right.$

If you sum the two equations, you get

$-16y = 32$

And so if you substitute the second equation of system A with this new equation, you'll get system B.

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Please help me! You are offered a job as a sales professional. You are offered a monthly base (fixed) salary of $1,000 plus 30% of the total sales you make for the month.

1) Write a linear function that represents your monthly income.

2) What is the slope? What does it mean in this context?

3) What is the y-intercept? What does it mean in this context?

4) BONUS (1 pt) If you sell $5,000 worth of product, what is your monthly income?

Answers

Answer:

1) y = 0.3x + 1000

2) slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3) y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4) The salary is $2500

Step-by-step explanation:

monthly salary = fixed part + variable part

The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.

The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x

Let the monthly salary = y.

y = 1000 + 0.3x

y = 0.3x + 1000

slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

In this case, x = 5000

y = 0.3x + 1000

y = 0.3(5000) + 1000

y = 1500 + 1000

y = 2500

The salary is $2500.

An engine makes 400 revolutions per minute. It will make [blank] [blank] in 12 minutes.

Answers

To solve this problem, we can set up a proportion.

400 revolutions/1 minute = x revolutions/12 minutes

To solve this proportion, we can use cross products, which is multiplying the numerator of one fraction by the denominator of the other and setting these two products equal to one another.

400*12 = 1 * x

Now, let's simplify.

4800 =x

Therefore, if an engine makes 400 revolutions per minute, it will make 4800 revolutions in 12 minutes.

What is the surface area of a sphere with a radius of 3 centimeters?

Answers

The equation for the surface area of a sphere is $A=4 \pi r^(2)$

So plug in 3 cm for radius "r"

$A=4 \pi ( 3cm)^(2)$

Simplify
$A=4 \pi (9 cm^(2))$
$A=36 \pi cm^(2)$

Depending on your teacher, they might want you to leave it like this or plug in 3.14 for $\pi$
So your answer is either
$A=36 \pi cm^(2)$
or
$A=113.04 cm^(2)$

Expand it please
(2/7z-3/5x)2

Answers

Answer: $\bold{(4)/(49)z^2-(12)/(35)xz+(9)/(25)x^2}$

Step-by-step explanation:

$\bigg((2)/(7)z-(3)/(5)x\bigg)\bigg((2)/(7)z-(3)/(5)x\bigg)\n\n\n=(2)/(7)z\bigg((2)/(7)z-(3)/(5)x\bigg)-(3)/(5)x\bigg((2)/(7)z-(3)/(5)x\bigg)\n\n\n=(4)/(49)z^2-(6)/(35)xz-(6)/(35)xz+(9)/(25)x^2\n\n\n=(4)/(49)z^2-(12)/(35)xz+(9)/(25)x^2$

Solve V = LWH for L.

Answers

Answer:

v/wh=L

Step-by-step explanation:

Cosx-Cos2x=0
Solve. I'm not sure if I'm getting the right answers

Answers

$cos(2x)= 2cos^2(x)-1\n \n cos(x)-cos(2x)=0 \n cos(x)-(2cos^2(x)-1)=0 \n -2cos^2(x)+cos(x)+1=0 \n 2cos^2(x)-cos(x)-1=0 \n (2cosx+1)(cosx-1)=0 \n \n 2cos(x)+1=0 \n cos(x)= - (1)/(2) \n x= \pm arccos(- (1)/(2) )+2 \pi k~~~k\in Z \n arccos(- (1)/(2) )= (2 \pi )/(3) \n x=\pm (2 \pi )/(3)+2 \pi k~~~k\in Z \n \n$

$cos(x)-1=0 \n cos(x)=1 \n x= 2\pi k~~~k \in Z$

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