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GREYUIT [131]
3 years ago
13

How many solutions exist for the given equation?

Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

Answer:

infinitely many

Step-by-step explanation:

Given

12x + 1 = 3(4x + 1) - 2 ← distribute parenthesis and simplify

12x + 1 = 12x + 3 - 2, that is

12x + 1 = 12x + 1

The expressions on both sides are equal.

This indicates that any value of x makes the equation true.

Thus there are infinitely many solutions

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Find the equation of the axis of symmetry and the coordinates of vertex of the functions =2x^2+4x-3
SVEN [57.7K]
Hello,

Find the equation of the axis of symmetry is like find the maximum or minimum point of this function.

f(x)=2x^2+4x-3\\\\\alpha=-\dfrac{b}{2a}=-\dfrac{4}{4}=-1\\\\

The equation of the axis of symmetry is then :   x=-1

\beta=f(\alpha)=2(-1)^2+4(-1)-3=2-4-3=-5

Coordinates of vertex :   (\alpha,\beta)=(-1;-5)
8 0
4 years ago
Please help with 1 & 2
yaroslaw [1]
First question:

I urge you to perform the division using the synthetic division method:

      ________________
-4  /   1   3   -6   -6   8
             -4    4     8  -8
       -----------------------
         1   -1   -2    2    0

Note that there is no remainder.  When this is the case, the divisor (here, that's -4) is a root of the given polynomial, and the value of that polynomial, g(-4), is 0.

If the remainder were not 0, then the remainder represents the value of the polynomial for that particular divisor.  For example, if x = -3, the remainder is -28.  We'd write that as g(-3) = -28.

But here, g(-4) = 0.
6 0
3 years ago
What is (43/7÷ x+32/9) ÷25/6=4/3
Fittoniya [83]

The value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14

<h3>How to solve for x in the equation?</h3>

The equation is given as:

(43/7 ÷ x + 32/9) ÷ 25/6 = 4/3

Rewrite as a product

(43/7 ÷ x + 32/9) x 6/25 = 4/3

Multiply both sides of the equation by 25/6

(43/7 ÷ x + 32/9)= 4/3 x 25/6

Evaluate the product

(43/7 ÷ x + 32/9)= 50/9

Rewrite the equation as:

43/7x + 32/9= 50/9

Subtract 32/9 from both sides

43/7x = 2

Multiply both sides by 7x

14x = 43

Divide by 14

x =43/14

Hence, the value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14

Read more about equations at:

brainly.com/question/2972832

#SPJ1

3 0
2 years ago
Max was on vacation twice as long as Jerad and half as long as wesley the boys were on vacation for a total of 3 weeks of long o
netineya [11]
Jerrad has a 3-day vacation, Max has a 6-day vacation, and Wesley's vacation is 12 days
3 0
3 years ago
I have a party sub that 3/4 yard long. I will cut it into smaller sandwiches that are 1/12 yard long. how many smaller sandwiche
Lena [83]

Answer:

9

Step-by-step explanation:

the question is practically "how many 1/12 sandwiches fit inside a 3/4 sandwich"

this calls for division

3/4 / 1/12

"flip & switch"

3/4 * 12/1

36/4

9

you will have 9 small sandwiches

4 0
3 years ago
Read 2 more answers
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