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zimovet [89]
3 years ago
15

Write the expression (4X -2)•6(2X +7)in the standard form of a quadratic expression

Mathematics
1 answer:
deff fn [24]3 years ago
3 0
(4x - 2) x (12x +42)  (I distributed the 6 over the 2x and the 7)

Using the FOIL method
First terms  (in each parenthesis) 4x  times 12 x = 48x²
Outer terms  4x times 42 = 168x
Inner terms    -2  times 12 x = -24x
Last terms -2 times 42 = -84

So we have 48x² + 168x + 168x - 24x -84
Finally combine like terms:

48x² + 144x - 84    There's your quadratic expression 
 
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A table top in the shape of a trapezoid has an area of 2250 square centimeters and the shorter base is 80 centimeters. The longe
Citrus2011 [14]
The area of a trapezoid has a formula of:
Area = (a + b) h / 2

Using the formula, we can easily find the height of the trapezoid.
<span>Area = (a + b) h / 2
</span>2250 = (80 + 100) h / 2
2250 = 180h / 2
2250 = 90h
h = 25 centimeters

So the height of the trapezoid is 25 centimeters.
3 0
3 years ago
Acceleration of 10kg Maas's pushed by a 5n force
malfutka [58]

Answer:

<h3>The answer is 0.5 m/s²</h3>

Step-by-step explanation:

To find the acceleration of an object given it's mass and the force acting on it can be found by using the formula

acceleration =  \frac{force}{mass}  \\

From the question

force = 5 N

mass = 10 kg

So we have

acceleration =  \frac{5}{10 }  =  \frac{1}{2}  \\

We have the final answer as

<h3>0.5 m/s²</h3>

Hope this helps you

7 0
3 years ago
zach deposits $15,000 into his savings account. his savings account has an annual interest rate of 1.4%. how much money in inter
Orlov [11]
Do $15,000x.014x2
--
$15,000x.014=$210
$210x2=$420
3 0
3 years ago
Similar right triangle
adoni [48]

Answer: 6.25

Step-by-step explanation:

Because corresponding sides of similar triangles are proportional,

\frac{x}{2.5}=\frac{6+4}{4}\\\\x=2.5\left(\frac{6+4}{4} \right)=\boxed{6.25}

3 0
2 years ago
A Store has 120 customers in 6 hours.What is the unit rate in customers per hour
zvonat [6]

Answer:

20

Step-by-step explanation:

120/6=20

3 0
3 years ago
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