MATHEMATICS HIGH SCHOOL

Which inequality is equivalent to 7x-2y> 8.A) y> 7/2x+8
b) y>-2/7x+8/7
c) y <7/2x-4
d) y <-2/7x-4/7

(whats a Inequality? )

Answers

Answer 1
Answer: 7x-2y> 8 \ \ -7x \n \n7x -7x-2y> 8 -7x \n \n -2y >8-7x \ \ / : (-2)\n \n(-2)/(-2)\cdot y < (8)/((-2))-(7)/((-2))x \n \n y < (7)/( 2)x -4 \n \n \n  Answer : \ c) \ y < (7)/(2)x-4


If \ we \ multiply \ or \ divide \ both \ sides \ of \ an \ inequality \ by \ a \ negative \n \nnumber \ we \ have \ to \ switch \ the \ direction \ of \ the \ inequality

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What is the sum of all of the odd numbers from 1 to 59?

Answers

Answer:

sum = 900

Step-by-step explanation:

The sum of all odd number can be solved using arithmetic progression formula.

Odd numbers are numbers that cannot be exactly divided by 2 .That means odd number have remainder when divide by 2.

The first odd number is 1

The second is  3

The sequence goes like this

1, 3, 5, 7, 9, 11, 13, 15, 17, 19 , 21 .................................59

a = 1

d = 2

where

a = first term

d = common difference

let us find the number of terms before finding the sum

nth term = a + (n - 1)d

59 = 1 + (n - 1)2

59 = 1 + 2n - 2

59 + 2 - 1 = 2n

60 = 2n

n = 60/2

n = 30

Sum = n/2(a+L)

where L = last term

sum = 30/2(1 + 59)

sum = 15(60)

sum = 900
arith. series for odd number
An = 1 + 2(n-1) ; A1 = 1

sum to n terms
Sn = (An + A1)n/2 ;
An=59, n = 29

Find the angle measure that makes the statement true.

Sin 25° = Cos ____ °

Answers

Answer:

          sin 25° = cos 65°

Step-by-step explanation:

We have trigonometric result

                  sin θ = cos (90 -θ)

Here we asked to convert Sin 25°  in to cosine.

So,

          sin 25° = cos (90 -25) = cos 65°

          sin 25° = cos 65°
65. 

You simply have to put cos-1(sin(25))

a landscaper is designing a flower garden in the shape of a trapezoid. she want to make to shorter base 3 yards greater than the height and the longer base 7 yards greater than the base. she wants the area 295 square yards. the situation is modeled by the equation h^2+5h=295. use the quadratic formula to find the height that will give the desired area

Answers

we know that

The formula to calculate the solutions of the quadratic equation of the form ax^(2) +bx+c=0  is equal to

x=\frac{-b(+/-)\sqrt{b^(2)-4ac}}{2a}

in this problem we have

h^(2) +5h=295

equate to zero

h^(2) +5h-295=0

a=1\ b=5\ c=-295

substitute in the formula

x=\frac{-5(+/-)\sqrt{5^(2)-4(1)(-295)}}{2*1}

x=(-5(+/-)√(25+1,180))/(2)

x=(-5(+/-)√(1,205))/(2)

the positive solution is

x=(-5+√(1,205))/(2)=14.86\ yd

therefore

the answer is

The height is 14.86\ yd
put you formula in this way:  ax^2+bx+c=0 this is  h^2+5h-295=0
Now solve with the second grade equation
a=1, b=5, c=-295
you will get h=14.86 and h=-19.86, you can not have negative numbers so the only answer is 14.86

When a point lies on the x-axis, what do you know about its y-coordinate? When a point lies on the y-axis, what do you know about its x-coordinate?

Answers

When the point lies on the x-axis, its corresponding y-coordinate is zero. Similarly, when the point lies on the y-axis, the corresponding x-coordinate is also zero. To see this for yourself, you can draw on a piece of paper a coordinate plane with the two axes, x-axis and y-axis. Try drawing a point on the x-axis and see that its y-coordinate is really zero. You can do this for the point on the y-axis as well.

In the chemistry lab and experiment requires 500 mL of one ingredient to be mixed with 1000 mL of another how many ounces is the solution

Answers

Answer:

50.7202 ounces

Step-by-step explanation:

(500ml+1000ml) / (29.574 ml per ounce) = 50.72 US Fluid Ounces

Find the prime factors of 60 by dividing by prime numbers.​

Answers

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

60 = 2*2*3*5

which is the same as saying

60 = 2^2*3*5
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