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3 years ago

3x-18<4x-23 and x-16<-22

Mathematics

1 answer:

MrRissso [65]3 years ago

3 0

Answer:

1. x > 5

2. x < -6

Step-by-step explanation:

3x-18<4x-23

Solve for x

(5,∞)

x-16<-22

Solve the Inequality for x

(−∞,−6)

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Need help quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Nookie1986 [14]

Answer:

-10,000 / -2000, although 10,000/2000 gives the same answer.

Step-by-step explanation:

The equations -10,000/2000 and 10,000/-2000 are negative, and negative days do not make sense, thus eliminating those answers.

Also, she wants to descend 10,000 feet, so that makes it -10,000 int he equation.

3 0

4 years ago

A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

5 0

3 years ago

Please help me with questions 23-39

Mrac [35]

Answer:

23) 36·(3·1/4) = 36·(3/4) = 108/4 = 27

24) (4·2/7)·21 = (8/7)·21 = 168/7 = 24

25) 2(x+4) = 2x+8

26) (5+n)3 = 15+3n

27) (4-3m)8 = 32-24m

28) -3(2x-6) = -6x+18

29) 13r+5r = 18r

30) 3x³-2x²

31) 7m+7-5m = 2m+7

32) 5z²+3z+8z² = 3z+13z²

33) (2-4n)17 = 34-68n

34) 11(4d+6) = 44d+66

35) 7m+2m+5p+4m = 13m+5p

36) 3x+7(3x+4) = 3x+21x+28 = 24x+28

37) 4(fg+3g)+5g = 4fg+12g+5g = 4fg+17g

38) (5m)²+(m+5)²= 26m²+10m+25

39) 7(a²+b)-4(a²+b) = 3(a²+b) = 3a²+b

7 0

3 years ago

Good lord I feel dumb

gogolik [260]

Answer:

b) (1,-7)

Step-by-step explanation:

the x changes by 4 so subtract the midpoint x by 4 to get x=1

then the y stays the same y= -7

6 0

3 years ago

SOMONE HELP ME I HAVE <br> TO DO THIS AFTER SCHOOL PLS ASAP!!!

Scrat [10]

Answer:

1 no

2 I don't know

3 no

4 yes

5 2.5 is the slope

6 -0.5

7 no slope

Step-by-step explanation:

1 no because the y overlaps

2 not sure

3 it over laps

4 it never overlaps

5 y=2.5x-3

6 y=-0.5x+1

7 no slope it's just x=-2

for the 5-7 you can type that into demos and get more info

y=mx+b

m is the slope and b is y intercept

3 0

3 years ago