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Hitman42 [59]
2 years ago
11

Given the expressions are equivalent (3x + 2)^2 - (mx^2 + 7) = 5x^2 + 12x - 3 2 - 3 What is the value of m?​

Mathematics
1 answer:
BartSMP [9]2 years ago
7 0

Answer:M=4

Step by step answer

9x^2-mx^2+12x-3=5x^2+12x-35

9x^2-mx^2+12x-3+3=5x^2+12x-35+3

9x^2-mx^2+12x=5x^2+12x-32

9x^2-mx^2+12x-12x=5x^2+12x-32-12x

9x^2-mx^2-5x^2=5x^2-32-5x^2

-mx^2+4x^2=-32

x^2(-m+4)=-32

M=4

Hope this helps (;

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What is 80.106 written in expanded form?
padilas [110]

Answer:

80.106 = 8 * 10 + 0 * 1 + 1 * 0.1 + 0 * 0.01 + 6 * 0.001

Step-by-step explanation:

Given

80.106

Required

Write in expanded form

First, we need the place value of each digit:

8-> Tens -> 10\\0-> Units->1\\1-> Tenths->0.1\\0->Hundredths->0.01\\6-> Thousandths->0.001

Next, we multiply each digit by its place value, to give the expanded form;

80.106 = 8 * 10 + 0 * 1 + 1 * 0.1 + 0 * 0.01 + 6 * 0.001

7 0
3 years ago
Find the measure of the missing angle pls help!
e-lub [12.9K]

Answer:

40 degrees

Step-by-step explanation:

Angle measures ALWAYS add up to 180. Subtract 96 and 44 from 180 to get the missing angle, which would be = to 40 degrees.

Hope this helps! have an amazing beautiful great day <3

8 0
2 years ago
13. A local car wash is open 8 hours each day.
Mila [183]
68 containers because 8.5 * 8 is 68
5 0
2 years ago
Brian, Pip and Sara share some sweets in the ratio 4:5:1. Brian gets 42 more sweets than Sara.
Leno4ka [110]

Answer:

i got 70

Step-by-step explanation:

Brain   4           Brain gets 42 more sweets Sara

Pip      5           How many sweets does Pip get?

Sara    1

when   b = s + 42            find p        b = 4s    p = 5s

           4s = s + 42                           b/4 = s      p = 5b/4

           3s = 42

             s = 14           b = 56         p = 70      

     

I initially found the answer by trail and error, then I could figure out the equation.  

s     b      p

1     4      5

10   40   50

16   64   90

14   56   70

8 0
2 years ago
If f(x) = 2х2 +1 and g(x) = х2 -7, find (f-g)(x).
Nookie1986 [14]

Option A

If  f(x) = 2x^2 + 1 and g(x) = x^2 - 7 then (f - g)(x) = x^2 + 8

<em><u>Solution:</u></em>

Given that f(x) = 2x^2 + 1 and g(x) = x^2 - 7

To find: (f - g)(x)

We know that,

(f – g)(x) = f (x) - g(x)

Let us substitute the given values of f(x) and g(x) in above formula,

(f - g)(x) = 2x^2 + 1 - (x^2 - 7)

For solving the brackets in above expression,

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

So the expression becomes,

(f - g)(x) = 2x^2 + 1 -x^2 + 7

Combining the like terms,

(f - g)(x) = 2x^2 - x^2 + 1 + 7\\\\(f - g)(x) = x^2 + 8

Thus option A is correct

8 0
2 years ago
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