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frosja888 [35]
3 years ago
14

Which number line shows the solution to the inequality -2x-3> -11

Mathematics
2 answers:
ioda3 years ago
7 0

Answer:

x < 4 (description of number line in explanation)

Step-by-step explanation:

First we solve the inequality with inverse operations.

-2x-3 > -11

We can add 3 to both sides to cancel it out

-2x > -8

To isolate x, we divide both sides by -2. (When dividing or multiplying by a negative number the inequality sign swaps.)

x < 4

Now we can make the number line! (I will describe it because I can't draw)

First we plot 4 on the number line. The circle will be open, not filled because it is not <=.

Then because x is anything less than 4, shade in everything to the left of 4 and we are done!

Brut [27]3 years ago
3 0

Answer:

-4

Step-by-step explanation:

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Simplify and write the trig expression in terms of sin and cos
dsp73

We have:

cot(-x)cos(-x)+sin(-x)=-\frac{1}{f(x)}

Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:

-sin(x)-cot(x)cos(x)=-\frac{1}{f(x)}

We clear f(x):

f(x)=\frac{1}{sin(x)+cot(x)cos(x)}=\frac{1}{sin(x)+\frac{cos(x)}{sin(x)}cos(x)}=\frac{1}{sin(x)+\frac{cos^2(x)}{sin(x)}}

we simply what we can:

f(x)=\frac{1}{\frac{sin^2(x)+cos^2(x)}{sin(x)}}=sin(x)

Thus, the correct answer is;

f(x)=sin(x)

6 0
1 year ago
Madeline needs to find the slope of the line that passes through the points (9, 12) and (7, 4). She sets up the following work:
Over [174]

Answer:

No

Step-by-step explanation:

She has everything correct but one thing. In order to have her answer correct, she must put the 9 in front of the 7 because the bigger number needs to go in front.

4 0
3 years ago
two trains leave the station at the same time one heading west and the other East the westbound train travels at 55 miles per ho
Diano4ka-milaya [45]
Recall your d = rt, distance = rate * time

so... one train goes west and the goes the opposite way... alrite... so... notice, by the time 338 miles have been covered by both, it will have been "t" hours, and whatever "t" is, is the same amount of time the westbound train has been running as well as the eastbound train has been running.

now, let's say, since by "t" hours they've covered 338 altogether, so, if the westbound train has covered say "d" miles, then the eastbound train would have covered the slack from 338 and d, that is, "338 - d".

\bf \begin{array}{lccclll}&#10;&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\&#10;&------&------&------\\&#10;Westbound&d&55&t\\&#10;Eastbound&338-d&75&t&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;\boxed{d}=55t\\&#10;338-d=75t\\&#10;----------\\&#10;338-\boxed{55t}=75t&#10;\end{cases}&#10;\\\\\\&#10;338=75t+55t\implies 338=130t\implies \cfrac{338}{130}=t\implies \stackrel{hours}{2.6}=t

so, 2hours and 36 minutes.
8 0
3 years ago
Leona answered all the questions on a test. She had 90% of them correct. There were 40 questions in all. How many did she have c
KengaRu [80]

Answer:

The answer is 36

Step-by-step explanation:

Let the number be <em>x</em>

x/40 is her mark

she got 90% mark correct

x/40 x 100 = 90

by cancellation we get 9 x 4 = 36

HOPE THIS HELPS

6 0
3 years ago
if Ann ha d 11 times as many art brushes as Tim.if they have 60 art brushes altogether how many brushes does Ann have
Luba_88 [7]
So if Ann is a, then Tim has 11a brushes, and together they have a+11a=12a brushes.

if 12a=60, then a=60/12=5

o Ann has 5 brushes!
5 0
3 years ago
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