Three fourths of a number decreased by nine is at least forty-two. As an inequality.

Answers

Answer 1
Answer:

Answer

x ≥ 68


Explanation

let that number be x.

(3/4) of x = (3/4) × x

                = 3x/4

Decrease 3x/4 by 9,

3x/4 - 9

This expression is at least 42,

∴ 3x/4 - 9  ≥ 42

   3x - 36 ≥ 168

    3x ≥ 168 + 36

    3x ≥ 204

      x ≥ 68


Answer 2
Answer: (3x/4) - 9 > 42

that > should be underlined to get the "or equal" in there

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Negative 4 plus 8 equals

Answers

Answer:

4

Step-by-step explanation:

You add -4 with 8 so you have -4 + 8 = 4

The answer to that would be 4.

Identify the vertex of the quadratic function in standard form y=2x^2 -16x+31

Answers

Answer:

(4,1)

Step-by-step explanation:

The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).

To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.

To find the y-coordinate, input the x=4 and solve for y.

y=2(4)^2-16(4)+31\ny=2(16)-64+31\ny=32-64+31\ny=1

The vertex is (4,1).

Find the missing length.С
9
c= /[?]
TX
Pythagorean Theorem: a2 + b2 = c2
3



Don’t mind the broken laptop

Answers

Answer:

c = √(90)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse c is equal to the sum of the squares on the other 2 sides, that is

c² = 9² + 3² = 81 + 9 = 90 ( take the square root of both sides )

c = √(90)

What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

Answers

sum is
S_(n)=(a_(1)(1-r^(n)))/(1-r)

r=common ratio
a1=first term
it looks like 2^0=1 is the first term aka a1
it goes to the 9th term (2^9)

sub
S_(9)=(1(1-(2)^(9)))/(1-2)
S_(9)=(1-512)/(-1)
S_(9)=(-511)/(-1)
S_(9)=511

so this one you don't multiply the base by the exponent. in this case its 2 times two how ever many time the exponent says.
2^0= 2
2^1= 2
2^2=4
2^3= 8
2^4=16
2^5=32
2^6=64
2^7=128
2^8=256
2^9=512
 So then you add all them up 
2+2+4+8+16+32+64+128+256+512= 1024

so there is your answer 1024


Find the missing length. Leave your answers as radicals in simplest answer

Answers

45 45 90 triangle
legs are x and hypotonuse=x√2
10=furst x
10=x
hypotonuse=10√2
that hypotonuse is the leg of the other triangle
the hypotonuse is √2 times that
10√2=x of bigger triangle
hypotonuse=x√2=10√2 times √2=10*2=20

answer is 20 units

Which is the expanded form of 3.69?

Answers

The expanded form for 3.69 is 3+0.6+0.09. How you do that is because the three is a whole number so it stays a whole number, the 6 is in the tenths spot and so it would be 0.6 because that is counting tenths. The 9 is in the hundredths spot so it has to be in expanded form as hundredths. And 2 spots over is hundredths so that is how you get that 9 in expanded form.  
3.69=3+0.6+0.09