MATHEMATICS HIGH SCHOOL

Ex 2.8
3. find the maximum value of the curve y=x²-4x+4 for -3≤x≤3

Answers

Answer 1
Answer: y=x^2-4x+4\ny'=2x-4\n\n2x-4=0\n2x=4\nx=2\n2\in[-3,3]\n\ny''=2>0 \Rightarrow \text{ There's a minimum at } x=2

In this case you have find the values of y(-3) and y(3).

y(-3)=(-3)^2-4\cdot(-3)+4=9+12+4=25\ny(3)=3^2-4\cdot3+4=9-12+4=1\n\ny(-3)>y(3) \Rightarrow y_(max)=25

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Will mark brainliest!! solve & simplify the following equation: 2x²-7x=4​

Answers

Answer:

x=  −1/2   or x=4

Step-by-step explanation:

This is ALGEBRA, equations, factoring and zero property. ok.. let's solve this step-by-step

2x^2−7x=4

Step 1: Subtract 4 from both sides.

2x^2−7x−4 =4 −4

2x^2−7x−4=0

Step 2: Factor left side of equation.

(2x+1)(x−4)=0

Step 3: Set factors equal to 0.

2x+1=0 or x−4=0

x=  −1/2   or x=4

(BTW, there are supposed to be two answers, it's factoring)

Sorry if the format is not clear, but I hope this helped (really feel you, algebra can be brain-striking)!! Please leave a comment, rating and/or mark as the brainliest-whichever you think I deserve! Thank You :)

HELP ME PLEASE?? I neeed help

Answers

a. That prism is composed of two similar triangles and 3 different rectangles. The area of a triangle is A = (base*height)/2. The area of a rectangle is A = length*width.

Surface area = 2*[(16*12)/2] + 32*20 + 12*32 + 16*32 = 1728 cm^2

b. The surface area of a cone is A = pi*radius*length
A = pi*9*19 = 537 yd^2

A ship is traveling around the outside rim of an island surveying a good place to land. If it is 10 miles from a lighthouse at the center of the island and 45° from due north, how far has the ship traveled from the most northern tip of the island to the nearest tenth?

Answers

The correct answer for the question that is being presented above is this one: "C. 7.9 miles."

Area of the circle = pi * r^2
= pi * 100
= 314.15927.

It's traveled 45/360 = 1/8 of the circumference

Here are the following choices:
A. 0.8 miles
B. 4.5 miles
C. 7.9 miles
D. 12.5 miles

Step-by-step explanation:

Read the answer above/ below mine, I just wanted to point out that to solve this problem you use the circumference formula! The circumference of a circle is 2pi(r). r= radius= 10 (because 10 mi). Plug this into a calculator by typing: (20*pi) [division symbol] 8 =, and then it will give you 7.85..., but remember to round up to 7.9.

Given that the following statement is true"If a shape is a polygon, then it is a closed figure."
Which of the following statements must also be true?
A. If a shape is a closed figure, then it is a polygon.
B. If a shape is not a polygon, then it is not a closed figure
C. If a shape is not a closed figure, then it is not a polygon
D. If the shape is not a polygon, then it is a closed figure.

Answers

Answer:

C IS THE ANS COS ALL POLYGONS ARE CLOSED AND IF IT NOT CLOSED IT NOT A POLYGON

Solve a/3 + 4 = 6
a=

Answers

Answer:

a = 6

Step-by-step explanation:

Given

(a)/(3) + 4 = 6 ( subtract 4 from both sides )

(a)/(3) = 2 ( multiply both sides by 3 to clear the fraction )

a = 6

Answer:

a=6

Step-by-step explanation:

a/3=6-4

a/3=2

a=6

I need to find how many solutions does the system have. ​

Answers

From what I got there is one real solution :)

Rearrange the second equation to give y=2-2x, substitute into the first equation to give you a value for x and then using that you can work out y for the exact coordinates of intersection :)

Also they are both straight line graphs so they will either have one or no solutions

Hope this helped :)
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