Solve for 0° 12cos^2x+6cosx-3=3sin^2x+5cosx

Answers

Answer 1

Answer: Hello here is a solution :

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What is the sum of the given polynomials in standard form?
(x2 – 3x) + (–2x2 + 5x – 3)

Answers

Combine like terms. -x2 +2x -3 is the answer.

Answer:

$-x^2+2x-3$

Step-by-step explanation:

The given polynomial expression is

$(x^2-3x)+(-2x^2+5x-3)$

We regroup the terms in the polynomial to obtain;

$x^2-2x^2-3x+5x-3$

We combine like terms to get;

$-x^2+2x-3$

When we arrange the terms in the polynomial in descending powers of x, then we say it is in standard form.

The simplified polynomial in standard form is $-x^2+2x-3$

determine the equation of g(x) that results from translating the function f(x)= (x + 8)^2 to the right 13

Answers

$g(x)=(x+8-13)^2=(x-5)^2$

In 2000 the city of Las Vegas had a population of 478,434. In 2007 there were 558,880 people living in Las Vegas. How many more people were living in Las Vegas in 2007 than in 2000?

Answers

2000 = 478'434
2007 = 558'880
so
558'880 - 478'434 = 80446

80446 more people live in las vegas in 2007 than back in 2000
hope this helps

80,446

You would subtract the 2000 population from the 2007 population.

558,880-478,434= 80,446

To win a game,roger needs to score 2,000 points. so far,he has scored 837 points. how many more points does roger need to score

Answers

Solution: 2000 - 837 = 1163

Answer: Roger needs 1163 points to score.

I hope this helps! :)

A system of equations is shown below:y = 3x − 7
y = 2x + 1

What is the solution to the system of equations?
(8, 17) (−8, 17) (−8, −17) (8, −17)
x

Answers

Hi Brainiac

y=3x-7

y=2x+1

We need to solve y=3x-7 for y

Now let's start by substitute 3x-7 for y in y=2x+1

y=2x+1

3x-7=2x=1

Now add -2x

3x-7-2x=2x+1-2x

x-7=1

Add 7

x-7+7=1+7

x=8

Our last step is to substitute 8 for x in y=3x-7

y=3x-7

y=(3)(8)-7

y= 24-7

y= 17

Answer : A

I hope that's help:)

Answer: The answer is A

I took the test and got it right.

What is the length of segment LP?

Answers

In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:

LO/LP = LM/LN

22 / x+12 = 30 / x+12 + 5
22 / x+12 = 30 / x+17

Cross-multiplying:
30x + 360 = 22x + 374

Isolating x to one side of the equation by subtracting 22x and 360 from both sides:

30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75

Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75

Therefore the value of LP is 13.75 in.

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Convert the temperature 288 K to degrees Celsius.a. 748°C b. 561°C c. –172°C d. 15°C

Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls. The ratio would be 14:10 or 7:5.Jeff did not write the ratio in the correct order. He should have written it as 24:10.Jeff did not write the ratio in the correct order. He should have written it as 12:5.

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?