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Rom4ik [11]
3 years ago
6

Which statement is true about this equation? -9(x + 3) + 12 = -3(2x + 5) − 3x A. The equation has one solution, x = 1. B. The eq

uation has one solution, x = 0. C. The equation has no solution. D. The equation has infinitely many solutions.
Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0

Answer:

c.the equation has no solution

Step-by-step explanation:

-9(x+3)+12=-3(2x+5)-3x

-9x-27+12=-6x-15-3x

-9x-15=-9x-15

-9x+9x=-15+15

0=0

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the decimal 104.3 becomes 1,043 when multiplied by 10. the same number becomes 10.43 when multiplied by 0.10. explain why.
sveta [45]
Since 0.10 is a decimal, multiplying 104.3 by 0.10 is actually dividing 104.3 by 10. Thus 104.3 multiplied by 0.10 is 10.43
3 0
4 years ago
Tina cut 3 wood boards each into 4 equal pieces she used 3 of the pieces for a craft. What fraction of the boards does she have
kumpel [21]

Answer:

2\frac{1}{4}.

Step-by-step explanation:

Given:

Tina cut 3 wood boards each into 4 equal pieces.

She used 3 of the pieces for a craft.

Question asked:

What fraction of the boards does she have left ?

Write this fraction as a mixed number.

Solution:

<em><u>As she cuts 3 wood board each into 4 equal pieces :-</u></em>

Total number of equal pieces = 3\times4=12\ pieces

Pieces of wood used = 3

Remaining pieces = 12 - 3 = 9

<h3><u><em>Now, we will write these 9 pieces in terms of number of wood boards</em></u>.</h3>

<u>By unitary method:</u>

4 pieces constitute = 1 wood board

1 piece constitute = \frac{1}{4} \ wood\ board

9  pieces constitute = \frac{1}{4} \times9=\frac{9}{4} \ wood\ board

<em>Now, convert it into mixed fraction:</em>

\frac{9}{4} =2\frac{1}{4} \ wood\ board

Therefore, fraction of the boards she have left is 2\frac{1}{4}.

7 0
3 years ago
Find a possible formula for a fourth degree polynomial g that has a double zero at -2, g(4) = 0, g(3) = 0, and g(0) = 12. g(x) =
astraxan [27]
<h2>Answer:</h2>

The possible formula for a fourth degree polynomial g is:

         g(x)=\dfrac{1}{4}(x^4-3x^3-12x^2+20x+48)

<h2>Step-by-step explanation:</h2>

We know that if a polynomial has zeros as a,b,c and d then the possible polynomial form is given by:

f(x)=m(x-a)(x-b)(x-c)(x-d)

Here the polynomial g  has a double zero at -2, g(4) = 0, g(3) = 0.

This means that the polynomial g(x) is given by:

g(x)=m(x-(-2))^2(x-4)(x-3)\\\\i.e.\\\\g(x)=m(x+2)^2(x-4)(x-3)\\\\i.e.\\\\g(x)=m(x^2+2^2+2\times 2\times x)(x(x-3)-4(x-3))\\\\i.e.\\\\g(x)=m(x^2+4+4x)(x^2-3x-4x+12)\\\\i.e.\\\\g(x)=m(x^2+4+4x)(x^2-7x+12)\\\\i.e.\\\\g(x)=m[x^2(x^2-7x+12)+4(x^2-7x+12)+4x(x^2-7x+12)]\\\\i.e.\\\\g(x)=m[x^4-7x^3+12x^2+4x^2-28x+48+4x^3-28x^2+48x]\\\\i.e.\\\\g(x)=m[x^4-7x^3+4x^3+12x^2+4x^2-28x^2-28x+48x+48]\\\\i.e.\\\\g(x)=m[x^4-3x^3-12x^2+20x+48]

Also,

g(0)=12

i.e.

48m=12\\\\i.e.\\\\m=\dfrac{12}{48}\\\\i.e.\\\\m=\dfrac{1}{4}

Hence, the polynomial g(x) is given by:

g(x)=\dfrac{1}{4}(x^4-3x^3-12x^2+20x+48)

8 0
3 years ago
How many numbers are 10 units from 0 on the number line? Type your answer as a numeral.​
timofeeve [1]

Answer:

There are two numbers 10 units from zero on the number line. These are 10 and -10.

Step-by-step explanation:

On a number line, if you move a pointer ten units right and left you will land on 10 and -10.

7 0
3 years ago
PLZZ help meee and I will give brainliest
serious [3.7K]
A.. is the answer! Have a good day/night
4 0
3 years ago
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