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Nookie1986 [14]
3 years ago
12

Refer to the equation 4x + 3y = 24

Mathematics
1 answer:
GuDViN [60]3 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

You are given the equation 4x+3y=24

1. When x = 0, then

4\cdot 0+3y=24\\ \\3y=24\\ \\y=8

When y = 0, then

4x+3\cdot 0=24\\ \\4x=24\\ \\x=6

When x = 3, then

4\cdot 3+3y=24\\ \\12+3y=24\\ \\3y=12\\ \\y=4

Complete the table:

\begin{array}{cc}x&y\\0&8\\3&4\\6&0\end{array}

2. Use the table of values to graph the line. Plot two points (0,8) and (6,0) and connect them with a straight line. See attached diagram for details.

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If EF=9x+14, FG=56, and EG=250, find the value of x.
nexus9112 [7]

Answer:

Value of x =20

Step-by-step explanation:

Given: EF = 9x+14 units , FG = 56 units and EG = 250 units.

Segment Addition Postulates states the following for 3 points that are collinear.

i.e, Let three points A, B and C are collinear and B is between A and C.

i,e AC = AB + BC

By Segment addition postulates; solve for x;

EG = EF + FG

Substitute the given values we get;

250 = 9x + 14 + 56

or

250 = 9x + 70

Subtract 70 on both sides we get;

250 -70 = 9x + 70 -70

Simplify:

180 = 9x

Divide both sides by 9 we get;

\frac{180}{9} = \frac{9x}{9}

Simplify:

x = 20

Therefore, the value of x =20


7 0
3 years ago
Read 2 more answers
If f(x) =15x 2 + 10x, find f(-1)<br><br> Anyone know the answer?
Rom4ik [11]
I'm assuming the given function is f(x) = 15x^2 + 10x.

If so, then,

f(x) = 15x^2 + 10x
f(x) = 15*(x)^2 + 10*(x)
f(-1) = 15*(-1)^2 + 10*(-1) ... note how x is replaced with -1
f(-1) = 15*(1) + 10*(-1)
f(-1) = 15 - 10
f(-1) = 5

Therefore the answer is 5
7 0
3 years ago
There are four steps in the manufacturing process of a stuffed toy: cutting, stuffing, sealing, and packaging. There are two emp
Anit [1.1K]

Answer:

(a) 2min/15units

(b) 1min/20units

(c) The bottleneck stage is cutting. The process capacity is 450units/hour

(d) The capacity of the new employee should be 1unit/2sec. The process capacity will increase four times

Step-by-step explanation:

(a) Cycle time for stage cutting for 2 employees = 16sec/2units × 1min/60sec = 2min/15units

(b) Cycle time for stage sealing for 1 employee = 3sec/1unit × 1min/60sec = 1min/20units

(c) Process capacity of stage cutting = 15units/2min × 60min/1hour = 450units/hour

(d) If the capacity of the new employee is 1unit/2sec, the process capacity = 1unit/2sec × 3600sec/1hour = 1800units/hour. The process capacity increases 4 times (1800/450 = 4)

7 0
3 years ago
The point (-7,6) is in the
san4es73 [151]

Answer:

need a pic to see

Step-by-step explanation:

8 0
3 years ago
A rectangular room has a perimeter of 70m and is 20m long write an equation to represent the area
ladessa [460]
70-40= 30
30/2 = 15
40/2= 20
15 x 20 = 300
5 0
3 years ago
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