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charle [14.2K]
3 years ago
6

7. If -3 < x < 3, determine c and d for the inequality c < 2x + 1 < d

Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer:

C= -5

D = 7

Step-by-step explanation:

- 3 < x < 3 \\    \\  - 6 < 2x < 6 \\  \\  - 6 + 1 < 2x + 1 < 6 + 1 \\  \\  - 5 < 2x + 1 < 7

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Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The m
DaniilM [7]

Answer:

The trestle meets ground level at 0.875 units and 9.125 units

Step-by-step explanation:

Poorly formatted question.

The given equation is:

y = -x^2 + 10x - 8

Required

The point where the trestle gets to the ground level

To do this, we set y = 0

So, we have:

-x^2 + 10x - 8 = 0

Multiply through by -1

x^2 -10x + 8 = 0

Solve using quadratic formula:

x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

Where:

a = 1; b =-10; c = 8

So, we have:

x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}

x= \frac{-(-10) \± \sqrt{68}}{2*1}

x= \frac{-(-10) \± 8.25}{2}

x= \frac{10 \± 8.25}{2}

Solve the fraction

x= 5 \± 4.125

Split

x= 5 + 4.125\ or\ x= 5 - 4.125

x= 9.125\ or\ x= 0.875

7 0
3 years ago
Can u please help me and show me how u got that answers.
GREYUIT [131]
C. 20% because 15 goes into 75 5 times, and to find the percentage you would divide 100 by that number, 5, to get 20. So he has gone 20%
6 0
3 years ago
Read 2 more answers
PLEASE HELP I HAVE 10 MINUTES LEFT
Lena [83]

Answer:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

Step-by-step explanation:

The cost equation is given as:

C=0.04x^2-5x+800

This is a quadratic equation in general form, which is:

y=ax^2+bx+c

Matching, we can say:

a = 0.04

b = -5

c = 800

The minimum occurs at  x=-\frac{b}{2a}

and the minimum value would be to place that "x" value into the equation.

First, we find the minimum using values of a and b:

x=-\frac{b}{2a}=-\frac{-5}{2(0.04)}=\frac{5}{0.08}=62.5

Plugging this into original, we get:

C=0.04x^2-5x+800\\C=0.04(62.5)^2-5(62.5)+800\\C=643.75

Rounding off to nearest whole number, we can say:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

4 0
3 years ago
A submarine dives at a constant speed of 10 m/s at a diving angle measured from the vertical
valina [46]

Answer:

155.3 m

Step-by-step explanation:

<u>We have:</u>

θ: is the angle measured from the vertical = 75 °

v = is the speed of the submarine = 10 m/s

t = 1 min

The deep of the front end of the submarine at the end of a 1-minute drive is given by the following ratio:

cos (\theta) = \frac{x}{d}  

<u>Where:</u>

d: is the distance traveled by the submarine in 1 minute

x: is the deep to find

The distance, d, is:

d = v*t = 10 \frac{m}{s}* 1 min * \frac{60 s}{1 min} = 600 m

Now, the deep is:

cos (75) = \frac{x}{600}  

x = cos(75)*600 = 155.3 m

Therefore, the deep of the front end of the submarine at the end of a 1-minute drive is 155.3 m.

I hope it helps you!

3 0
3 years ago
Find the product of (x − 8)2 and explain how it demonstrates the closure property of multiplication.
Zarrin [17]

Answer:

B

Step-by-step explanation:

(x-8)^2=(x-8)(x-8)=x^2-8x-8x+64=x^2-16x+64

8 0
3 years ago
Read 2 more answers
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