Guy looks at his checking account balance and sees that it is less than −10 dollars.

4(2 - x) > -2x - 3(4x + 1)<br>solve for x

a_sh-v [17]

Answer: X> -11/10

Explanation:

7 0

2 years ago

Can someone pls help me with this question

jeyben [28]

Answer:

I'll find X for you; the next step is by you.

Step-by-step explanation:

we have two similar pentagons

I will do it in 2 ways.

1.

=> 48/4x = (x+2)/x

=> 12/x = (x+2)/x

Because of pentagons so x > 0

=> 12 = x + 2 => x = 10

2.

k is unknown number

=> 4x = k.x and 48 = k.(x + 2) (x > 0)

=> k = 4 and 48 = 4.(x + 2)

=> 12 = x + 2 => x = 10

7 0

1 year ago

Marina sells candles that are in the shape of cones. she makes a yellow candle that has a diameter of 4 inches and a height of 1

Katena32 [7]

The correct statements are:

the volume of the yellow candle is about 46.05 inches cubed.
the radius of the yellow candle is 2 in
he base area of the yellow candle is about 6.28 inches squared.
the price of one yellow candle is about $16.12.

<h3>What are the correct statements?</h3>

Volume of a cone = 1/3(πr²h)

π = 3.14
r = radius = diameter / 2 = 4/2 = 2 inches
h = height

Volume of a cone = 1/3 x 2² x 11 x 3.14 = 46.05 inches cubed.

Base area = πr²

3.14 x 4 = 12.56 inches squared.

Price of one yellow candle = volume x price per cubic unit

46.05 x $0.35 = $16.12

To learn more about the volume of a cone, please check: brainly.com/question/13705125

#SPJ4

3 0

2 years ago

1. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the

Sveta_85 [38]

Answer:

#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1). First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4. Using point-slope form,

$y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1$

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2. To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2. Using point-slope form,

$y-0=\frac{-1}{2}(x-5)\\\\y=\frac{-1}{2}(x)+\frac{-1}{2}(-5)\\\\y=\frac{-1}{2}x+\frac{5}{2}$

#4) The slope of Main Street on the diagram, found by using rise/run, is 2. This means the bike path will also have a slope of 2 in order to be parallel. The park entrance is at (0, 4). This makes the equation y = 2x+4.

#5) Two lines with the same slope are always parallel. They are never perpendicular.

3 0

2 years ago

Read 2 more answers

The graph of a quadratic polynomial intersects x-axis at the points (-4, 0) and (5, 0). Find

Setler79 [48]

Answer:

Quadratic polynomial is x^2 - x - 20

3 0

1 year ago