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Rus_ich [418]
3 years ago
14

Solve the inerquality 4x-7<5

Mathematics
1 answer:
oee [108]3 years ago
7 0

Answer:

x ∈ (- oo ; + 3)

Step-by-step explanation:

4x - 7 < 5

4x < 5 + 7

4x < 12

x < 12 : 4

x < 3

x ∈ (- oo ; + 3)

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Slope = 6 , through = (4,13)
alukav5142 [94]

Answer:

y=6x-11

Step-by-step explanation:

I think sorry if I am wrong but u didnt ask u just put that

6 0
2 years ago
Rewrite, using the distributive<br> property.<br> 5(2x – 3y) = [?]* - [ ]y
olchik [2.2K]

Answer:

10x-15y

Step-by-step explanation:

So, when they say use the distrubutive property, they basically mean turning this:

a(b+c)

Into this:

ab+ac

So in this case, it would be:

5(2x-3y)

And we will turn it into:

10x-15y

ANother way to think about it is we are multiplying 2x by 5, and -3y by 5. So:

2x*5

=

10x

And

-3y*5

=

-15y

Then we can combine these two:

10x-15y

Hope this helps!

7 0
2 years ago
Solve without a calculator log_4(20)-log_4(45)+log_4(144)
AfilCa [17]
Log₄20-log₄ 45+log₄144=
log₄(20/45)+log₄144=                        (log_a b- log_a c=log_a  (b/c) )
log₄[(20*144)/45]=                             (log_a b +log_a c=log_a (b*c) )
log₄(2880/45)=
log₄(64)=n     ⇔      4^n=64                (log_a x=n   ⇔ a^n=x)

4^n=4³      ⇒n=3                                 (64=4*4*4=4³)

Answer: log₄20-log₄ 45+log₄144=3

5 0
2 years ago
15. Which of the following equations was
arlik [135]

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0)

m = \frac{0-6}{6-0} = \frac{-6}{6} = - 1

Note the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 or y = 6 - x ⇒ B

3 0
2 years ago
A hiker begins in a valley at 150 feet below sea level. When the hiker reaches the highest point on the trail, he is 579 feet ab
RoseWind [281]

We have been given that a hiker begins in a valley at 150 feet below sea level. When the hiker reaches the highest point on the trail, he is 579 feet above sea level. We are asked to find change (in feet) in elevation of the hiker.

To find change in hiker's elevation we will subtract hiker's initial elevation from hiker's elevation at the end of trail.

\text{Change in elevation}=579--150

We are subtracting negative 150 because at the beginning of trail hiker was 150 feet below sea level.

\text{Change in elevation}=579+150

\text{Change in elevation}=729

Therefore, the change in hiker's elevation is 729 feet.


5 0
2 years ago
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