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babymother [125]
4 years ago
13

Please solve and explain 4w(w-3)=24​

Mathematics
1 answer:
nadya68 [22]4 years ago
5 0

Step-by-step explanation:

4w (w - 3) = 24

4w^2 - 12w = 24

4w^2 - 12w - 24 = 0

use calculator, EQN if using Casio

the answer will be

w = _____ w = _____

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Which equation represents the line that passes through the points (6, -3) and (-4, -9)?
Liula [17]
(6,-3)(-4,-9)
slope = (-9 - (-3) / (-4 - 6) = (-9 + 3) / -10 = -6/-10 = 3/5

y - y1 = m(x - x1)
slope(m) = 3/5
(6,-3)..x1 = 6 and y1 = -3
now we sub
y - (-3) = 3/5(x - 6) =
y + 3 = 3/5(x - 6) <== one answer

y - y1 = m(x - x1)
slope(m) = 3/5
(-4,-9)....x1 = -4 and y1 = -9
now we sub
y - (-9) = 3/5(x - (-4) =
y + 9 = 3/5(x + 4) <== another answer

there are 2 answers....but the only one listed is answer D
5 0
3 years ago
The total surface area of a cylinder is 690.8. Its diameter is 10 inches. What is it’s height?
AysviL [449]

Answer:

h=17\ in

Step-by-step explanation:

we know that

The total surface area of a cylinder is equal to

SA=2\pi r^{2}+2\pi rh

where

r is the radius of the base of cylinder

h is the height of cylinder

we have

SA=690.8\ in^2

r=10/2=5\ in ----> the radius is half the diameter

assume

\pi=3.14

substitute the given values and solve for h

690.8=2(3.14)(5^{2})+2(3.14)(5)h

690.8=157+31.4h

Solve for h

31.4h=690.8-157

31.4h=533.8

h=17\ in

7 0
3 years ago
Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)
s344n2d4d5 [400]

Answer:

y=5x+7

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are equal

The equation of the given line is y=5x+4

The slope of the given line is m=5

so

The slope of the line parallel to the given line is also m=5

step 2

Find the equation of the line parallel to the given line

The equation of the line in point slope form is

y-y1=m(x-x1)

we have

m=5

point\ (-1,2)

substitute

y-2=5(x+1)

step 3

Convert to slope intercept form

Isolate the variable y

y-2=5x+5

y=5x+5+2

y=5x+7

5 0
3 years ago
If you have a chance to win $500 for drawing a card of 10 of any suit from a standard deck of cards, what is the value of expect
dem82 [27]

Answer:

The expected value is $38.46.

Step-by-step explanation:

The probability of drawing a 10 from any suit is 4/52.  Multiply this by the earnings, 500:


4/52(500) = 2000/52 = 38.46


Hope this helps!


6 0
3 years ago
Y=3[x]+1 <br> Step by step
finlep [7]

y=3x+1

Use the slope-intercept form to find the slope and y-intercept

The slope-intercept form is y=mx+b

, where m is the slope and b

is the y-intercept.

y=mx+b

Find the values of m

and b using the form y=mx+b

.

m=3

b=1

The slope of the line is the value of m

, and the y-intercept is the value of b

.

Slope: 3

Y-Intercept: 1

Any line can be graphed using two points. Select two x

values, and plug them into the equation to find the corresponding y

values.


Choose 0

to substitute in for x

to find the ordered pair.


Replace the variable x

with 0

in the expression.

f(0)=3(0)+1

Simplify the result.

Tap for more steps...

1

The first point is (0,1)

.

(0,1)

Choose 1

to substitute in for x

to find the ordered pair.

Tap for fewer steps...

Replace the variable x

with 1

in the expression.

f(1)=3(1)+1

Simplify the result.


Multiply 3

by 1

.

f(1)=3+1

Add 3

and 1

.

f(1)=4

The final answer is 4

.

4

The second point is (1,4)

.

(1,4)

Create a table of the x

and y

values.

xy0114

Graph the line using the slope and the y-intercept, or the points.

Slope: 3

Y-Intercept: 1

xy0114

7 0
3 years ago
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