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3 years ago

Solve the following inequality. 2x+1<9

Mathematics

2 answers:

KiRa [710]3 years ago

8 0

Answer:

x<4, (-infinite, 4)

Step-by-step explanation:

2x+1<9

2x<9-1

2x<8

(2x<8) / 2

x<4

PolarNik [594]3 years ago

6 0

Answer:

x<4

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x+1<9

Step 1: Subtract 1 from both sides.

2x+1−1<9−1

2x<8

Step 2: Divide both sides by 2.

x<4

Hopefully that helped

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Y=x² + 16x + 64

motikmotik

I'll do the first one to get you started

The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64

Compare that to y = ax^2+bx+c and we see that

a = 1

b = 16

c = 64

Use the values of 'a' and b to get the value of h as shown below

h = -b/(2a)

h = -16/(2*1)

h = -8

This is the x coordinate of the vertex.

Plug this x value into the original equation to find the corresponding y value of the vertex.

y = x^2+16x+64

y = (-8)^2 + 16(-8) + 64

y = 0

Since the y coordinate of the vertex is 0, this means k = 0.

The vertex is (h,k) = (-8, 0)

---------------------

So we found that a = 1, h = -8 and k = 0

Therefore,

f(x) = a(x-h)^2 + k

f(x) = 1(x-(-8))^2 + 0

f(x) = (x+8)^2

is the vertex form

---------------------

<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>

8 0

4 years ago

A submarine at a depth of -40 feet dives 57 feet more. What is the new depth of the submarine comment for points?

mamaluj [8]

I’m pretty sure this is answer is 17.

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3 years ago

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Is pop or country your favorite type of music? <br><br> Change This into a neutral question

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3 years ago

What is the error in this problem

castortr0y [4]

Answer:

12). LM = 37.1 units

13). c = 4.6 mi

Step-by-step explanation:

12). LM² = 23² + 20² - 2(23)(20)cos(119)°

LM² = 529 + 400 - 920cos(119)°

LM² = 929 - 920cos(119)°

LM = $\sqrt{929+446.03}$

= $\sqrt{1375.03}$

= 37.08

≈ 37.1 units

13). c² = 5.4² + 3.6² - 2(5.4)(3.6)cos(58)°

c² = 29.16 + 12.96 - 38.88cos(58)°

c² = 42.12 - 38.88cos(58)°

c = $\sqrt{42.12-20.603}$

c = $\sqrt{21.517}$

c = 4.6386

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3 years ago

A pair of pants costs twice as much as a shirt. The total cost of 1 pair of pants and 1 shirt is $18 . If s represents the cost

dolphi86 [110]

Let the price of 1 shirt be represented by = s

A pair of pants costs twice as much as a shirt, then the cost of pants is = 2s

The total cost of 1 pair of pants and 1 shirt is $18 , means : $s+2s=18$

Solving this we get,

$3s=18$

$s=6$

So, the price of 1 shirt is $6 and price of 1 pair of pants is = 2s = 2*6 = $12.

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4 years ago

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