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maria [59]
4 years ago
5

Is it 1 solution, no solution or infinite solution? -28 = -7(3x + 4) + 21

Mathematics
1 answer:
prohojiy [21]4 years ago
5 0

x = 1 because -7(3x + 4) must be -49 so 3x + 4 must me 7 so x = 1

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1.solve the following equation for y 3x- 2y= 6
harkovskaia [24]
So,

For number one, there will be an infinite number of solutions, as there are two placeholders.
3x - 2y = 6
It seems we can use the intercept method.
3x - 2(0) = 6
3x = 6

Divide both sides by 3
x = 2

This is one solution: (2,0)

3(0) - 2y = 6
-2y = 6

Divide both sidees by -2
y = -3

This is another solution: (0,-3)
You should now be able to draw the line.
If you want intercept form for this equation, just manipulate the equation in order to get the y = mx + b form.

Subtract 3x from both sides
-2y = -3x + 6

Divide both sides by -2
y =  \frac{3}{2} x + 6


For the second problem, simply manipulate the equation.
\frac{1}{3} (6x - 9) =  \frac{3}{4} (4x - 8)

Distribute
2x - 3 = 3x - 6

Subtract 2x from both sides
-3 = x - 6

Add 6 to both sides
3 = x


For the third problem, do the same thing.
\frac{3(2x-1)}{4} = x +  \frac{7}{2}

We must first multiply both sides by 4.
3(2x-1) = 4x + 14

Distribute
6x - 3 = 4x + 14

Subtract 4x from both sides
2x - 3 = 14

Add 3 to both sides
2x = 17

Divide both sides by 2
x =  \frac{17}{2} \ or\ 8 \frac{1}{2}
5 0
3 years ago
What is the eighth term in the sequence x+3, - 2x^2 - 6x, 4x^3 +12x^2​
Anastasy [175]

Answer:

a_8=-128x^8-384x^7

Step-by-step explanation:

The terms of the sequence are:

x+3,-2x^2-6x,4x^3+12x^2,...

We can rewrite the terms in factored form to get;

x+3,-2x(x+3),4x^2(x+3),...

We can see that the subsequent terms are obtained by multiplying the previous term by -2x. This is called the common ratio.

Therefore the first term of this geometric sequence is a_1=x+3 and the common ratio is r=-2x.

The nth term of a geometric sequence is given by: a_n=a_1(r^{n-1}).

Let us substitute the first term, the common ratio, and n=8 to obtain:

a_8=(x+3)(-2x)^{8-1}

a_8=(x+3)(-2x)^{7}

a_8=-128x^7(x+3)

a_8=-128x^8-384x^7

3 0
3 years ago
What is the answer?<br> -2x + 5y = -1<br> 3x + 2y =11
adelina 88 [10]

Answer: -44

Step-by-step explanation:

7 0
3 years ago
PLZ HELP ME WITH THIS I'LL REWARD YOU 30 POINTS!!!
zhannawk [14.2K]
C = 2πr
C ≈ 2 * 22/7 * 7
C ≈ 44 cm

In short, Your Answer would be 44 cm

Hope this helps!
6 0
3 years ago
Read 2 more answers
BRAINLIEST WILL BE MARKED(THAT MEANS- 3 EXTRA POINTS) HERE! GRAPHING HELP 101
GarryVolchara [31]

Answer:

I think its wrong. For g(5)=(5/5)^2=1 and in your graph is something close to 3. The correct graph for g(x)=(\frac{1}{5}x)^2 is

4 0
3 years ago
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