Solve for x: −2x + 5 < 7

Answers

Answer 1

Answer: -2x + 5 < 7

-2x + 5 < 7
-5 -5 deduct 5 from both sides
-2x < 2
÷ -2 ÷ -2 divide both sides by negative 2. Because of the division
x > -1 using a negative number, the sign is then reversed.
from < it becomes >.

The value of x should be greater than -1. It can be 0, 1, 2, so on...

To check: Revert back to the original sign which is <.

x = 1
-2x + 5 < 7
-2(1) + 5 < 7
-2 + 5 < 7
3 < 7

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Answers

Please see the pic, I'd solved your question in it.

Lions spend 5/ 6 of their day sleeping how many hours a day do lion sleep

Answers

24 hours in a day.

5/6 times 24/1

24*5 = 120
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For wich values of x does 2x^2+10x

Answers

2x^2 + 10x doesn't do anything, unless it's equal to something.

All you've got so far is a number. We can't even tell what it is
until we know what number 'x' is.

Is there another little part of the question that you didn't copy ?

Factor out at 2 so 2(x+5)(x+0)
Set them equal to 0 so
2=0 that's not a solution
X+5=0 so x=-5 that works
And the last one x=-0 well negative 0 doesn't exist so the only value that works is -5

Maximum or Minimum. Domain and range of
y=x^2-4x+4

Answers

$y=x^2-4x+4\n\na=1;\ b=-4;\ c=4\n\na > 0\ then\ minimum:\n\n(-b)/(2a)=(-(-4))/(2\cdot1)=(4)/(2)=2\n\ny_(min)=2^2-4\cdot2+4=4-8+4=0\n\n\ndomain:x\in\mathbb{R}\n\n\nrange:y\in\left<0;\ \infty\right)$

BD bisects ABC. m ABD=2y m DBC=5y-12. What is ABC?

Answers

Answer:

Step-by-step explanation:

The two angle created by the bisector have equal measures, so ...

m∠ABD = m∠DBC

2y = 5y -12

0 = 3y -12

0 = y -4

4 = y

2y = 2·4 = 8

m∠ABC = 2×m∠ABD = 2×8

m∠ABC = 16

_____

We presume the angle measures are in degrees, though that is not specified by the problem given here. These numbers could all be radians, but 16 radians is more than a couple of times around the circle.

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