All categories

3 years ago

What is 4|x+9| divided by 5 is less than 8

Mathematics

1 answer:

RSB [31]3 years ago

3 0

Answer:

x < 1 and x > -19

Step-by-step explanation:

(4 |x+9|)/5<8

4 |x+9| < 40

|x+9| < 40/4

|x+9| < 10

x + 9 < 10. x < 1. (Positive answer: <)

x + 9 > - 10. x > - 19 (negative answer: >)

You might be interested in

Re-write the equation without the h component.

levacccp [35]

Answer:

$f(x) = 2[\frac{3^x}{9}] + 2$

$f(x) = 8(4)^x$

Step-by-step explanation:

Given

$f(x) = 2(3)^{x-2} + 2$

$f(x) = \frac{1}{2}(4)^{x+2}$

Required

Remove the h component

In a function, the h component is highlighted as:

$f(x) = a^{x+h}$

So, we have:

$f(x) = 2(3)^{x-2} + 2$

Split the exponents using the following law of indices:

$a^m/a^n = a^{m-n}$

$f(x) = 2*\frac{3^x}{3^2} + 2$

$f(x) = 2*\frac{3^x}{9} + 2$

$f(x) = 2[\frac{3^x}{9}] + 2$

The h component has been removed

$f(x) = \frac{1}{2}(4)^{x+2}$

Split the exponent using the following law of indices

$a^{m+n} =a^m * a^n$

So, we have:

$f(x) = \frac{1}{2}(4)^x * 4^2$

Express 4^2 as 16

$f(x) = \frac{1}{2}(4)^x * 16$

Divide 16 by 2

$f(x) = 8(4)^x$

3 0

3 years ago

A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second.

melisa1 [442]

It is 0.96 mps. Did this help

5 0

4 years ago

Somebody please help me!

Ierofanga [76]

Method:

First place the replace of p and r using brackets.

= 3(6) + 11.7(7)

3 times 6 is 18 and 11.7 times 7 is 81.9

= 18 + 81.9

add one and one together you get

= 99.9

hope it helps

6 0

3 years ago

In right triangle PQR , PQ=12 cm and QR=5cm .What is cos R?

Juliette [100K]

Answer:

cosR = $\frac{5}{13}$

Step-by-step explanation:

assuming the right triangle has ∠ Q = 90° with legs 5 and 12

then this is a 5- 12- 13 right triangle with hypotenuse PR = 13 cm

then

cosR = $\frac{adjacent}{hypotenuse}$ = $\frac{QR}{PR}$ = $\frac{5}{13}$

7 0

2 years ago

Can someone tell me what x equals!

Zinaida [17]

Answer:

Step-by-step explanation:

hope u find this helpfull

5 0

3 years ago

Read 2 more answers