MATHEMATICS HIGH SCHOOL

Solve for x !!!!!!!!!!!!!!!!
Solve for x !!!!!!!!!!!!!!!! - 1

Answers

Answer 1
Answer:

Answer:

-9

Step-by-step explanation:

180=85+44+60+(x)-9
Answer 2
Answer:

Answer:

A. -9

Step-by-step explanation:

A triangle equals 180 degrees so:

60 + 85 + x + 44 = 180

add like terms

x + 189 = 180

subtract 189 from both sides

x = -9

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The first term of an arithmetic sequence is 4 and the fifth term is 16. What is the nth term of the sequence?A. 4n B. 3n + 1 C. 5n – 1 D. 4n + 1
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PLEASE HELP ME WITH THESE QUESTIONS

Khaliq produces and sells toy cars. The material for each car costs him $4. He has been selling them for $8 each and averaging sales of 40 per week. He has been told by Kiarash that he could charge more but has found that for each $0.50 increase in price, he would lose 4 sales each week. How much should Khaliq charge per car in order to have the greatest profit? What is the greatestprofit?

Answers

Answer:

He should charge 8.50 for each car for a profit of 162 dollars.

Step-by-step explanation:

Plot y = (x - 4)(40 - 8(x - 8)) on a graphing calculator such as desmos

The area of a rectangle is 77 yd2, and the length of the rectangle is 3 yd more than twice the width find the dimensions of the rectangle

Answers

Let the width be x.

Length is 3 more than twice the width =  2x + 3

Area = x*(2x + 3)

x*(2x + 3) = 77

2x² + 3x  = 77

2x² + 3x - 77 = 0           This is a quadratic equation. Solve by factorization.


Multiply first and last coefficients:  2*-77 = -154

We look for two numbers that multiply to give -154, and add to give the middle coefficient  +3

Those two numbers are 14 and -11.

Check:   14*-11 = -154         14 + -11 = 14 - 11 = +3

We replace the middle term of +3x in the quadratic expression with 14x -11x

2x² + 3x - 77 = 0   

2x² + 14x -11x - 77 = 0     

2x(x + 7) - 11(x + 7) = 0

(2x - 11)(x + 7) = 0

2x - 11 = 0    or   x + 7 = 0

2x = 0 + 11          x = 0 - 7

2x = 11                  x = -7

x = 11/2 = 5.5                   

The solutions are x = -7  or  5.5.

Since we are solving for length of rectangle, x can't be negative. So we do away with x = -7.

x = 5.5   is the only valid solution.

Recall width = x = 5.5, 
Length = 2x + 3 = 2*5.5 + 3 = 11 + 3 = 14

Therefore length = 14 yards, and width = 5.5 yards.   

Pls help Zoey is trying to write an equation in slope intercept form. She knows slope intercept form is y=mx+b. She is given the slope is 3 and the y intercept is 10. When she plugs it in she gets 10=3x+b. What mistake did zoey make and how can she fix it?

Answers

Answer:

the mistake that zoey had made while writing the equation was putting the y-intercept in the wrong place.in the slope intercept from the equation is y=mx+b.y is the product or the line, m is the slope, b is the y-intercept, the actual equation should be y=3x+10,instead what zoey had which was 10=3x+b. she guessd by pairing the y-intercept with y instead of b.

Step-by-step explanation:

.

Calculate the product of 8 /15, 6 /5 , and 1 /3 .

Answers

We simply have to multiply the three fractions. And doing so requires us to multiply their numerators and their denominators. So we have: 8/15 * 6/5 * 1/3 = 8*6*1/15*5*3 = 48/225, which gives us 16/75 after simplifying the result (by dividing the fraction by 3).

There are 26 biscuits altogether on two plates. The second plate has 8 fewer biscuits then the first plate. How many biscuits are there on each plate?

Answers

Subtact 26 - 8 and 26 - 18. Your answer is 18 for the 2nd plate and 8 for the first plate?

Rewrite with only sin x and cos x.

cos 2x + sin x

Answers


This is the expression written with only sinx and cosx.
Hello,

as cos 2x=cos²x-sin²x=1-2sin²x
then
cos 2x+sin x=-2sin² x+sin x +1
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