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3 years ago

For what integer value of x is 3x+5>11 and x-3 <1?

1 answer:

7 0

3x + 5 > 11
3x + (5 - 5) > 11 - 5
3x > 6
3x / 3 > 6 / 3
x > 2

x - 3 < 1
x (-3 + 3) < 1 + 3
x < 4

When subtracting / adding values to both sides, the inequality does not change.

When multiplying / dividing by a positive value, the inequality also doesn't change, but when multiplying , dividing with a negative value, the inequality must be flipped.

You might be interested in

What is 3 1/5 as an improper factor?

luda_lava [24]

Answer:

16/5

Step-by-step explanation:

6 0

3 years ago

Find the surface are of the cylinder in terms of pi

Andrej [43]

Hello!

To find the surface area of a cylinder you use the equation

$SA = 2 \pi rh + 2 \pi r^{2}$

SA is surface area
r is radius
h is height

PUt in the values you know

$SA = 2 \pi (7)(18) + 2 \pi * 7^{2}$

Square the number

$SA = 2 \pi (7)(18) + 2 \pi * 49$

Multiply 7 and 18

$SA = 2 \pi * 126 + 2 \pi * 49$

Multiply 126 by 2

$SA = 252 \pi + 2 \pi * 49$

Multiply the 49 by 2

$SA = 252 \pi + 98 \pi$

Add

$SA = 350 \pi$

The answer is $A)350 \pi cm^{2}$

Hope this helps!

7 0

3 years ago

I'll give brainliest if you answer 11 and 12

olasank [31]

Answer:

tanx=30/27

tanx=10/9

x=48

4 0

3 years ago

Question: is 1 > 0.99999999...?<br>Prove algebraically.

Crazy boy [7]

No. We claim that $1=0.\overline{9}$ and use algebra to prove the statement.

Let $x=0.\overline{9}$ . Multiply this by ten to get $10x=9.\overline{9}$ . Subtract the initial equation to give $9x=9$ and divide by $9$ to see that $x=1$ . Substituting into the original equation gives $1=0.\overline{9}$ , proving the desired statement.

6 0

3 years ago

Graph the function f(x) = -42-4+ 5 on the axes below. You must plot the

valentina_108 [34]

Answer:

- attached graph

- Horizontal Asymptote: y = 5

- twon whole number points are (4,4) and (5,1)

Step-by-step explanation:

- Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote

y = -4^(x-4) + 5

= -4^(4-4) + 5

= -4^(0) + 5

= -1 + 5

= 4

y = -4^(x-4) + 5

= -4^(5-4) + 5

= -4^(1) + 5

= -4 + 5

= 1

7 0

2 years ago