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nikitadnepr [17]
1 year ago
15

4x7 = 2x + 15 Does the equation have one none, or infinite solutions? Explain why.

Mathematics
1 answer:
liq [111]1 year ago
6 0

Answer:

There is only one solution

Step-by-step explanation:

4x - 7 = 2x + 15

+7        +7

4x = 2x + 22

-2x   -2x

2x = 22

divide by 2 into both sides

x = 11

Since there is only one answer, there is only ONE solution.

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Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the
AysviL [449]

Answer:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

Step-by-step explanation:

The given polynomial equation is

2 {x}^{3}  +  {x}^{2}  - 8x - 4 = 0

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

2 {x}^{2}  + 5x + 2

This means the polynomial equation becomes:

(x - 2)(2 {x}^{2}  + 5x + 2) = 0

We factor the quadratic term by splitting the middle term;

(x - 2)(2 {x}^{2}  + 4x +x +  2) = 0

(x - 2)(2 x(x+ 2) +1(x +  2) )= 0

Collect common factors again:

(x - 2)((x+ 2)(2x +  1) = 0

The solution is:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

8 0
4 years ago
PLEASE HELP ASAP! THANK YOU LOTS! <3
den301095 [7]

Answer:

C

Step-by-step explanation:

12 divided by 3 is 4 and 30 divided by 3 is 10

6 0
3 years ago
Read 2 more answers
Y=-3.3x+614.5 please help!
pav-90 [236]

Answer:

the answer is 611.2

how,-3.3x

611.2

=6

there before 614.2 there come always+if there is nothing

then,there is- before-3.3x then rule=

<h3>- + +=-</h3>

so we have to substract it

3 0
3 years ago
Does anyone know what the slope equation is for this graph. PLz explain if you can. Ty!
yKpoI14uk [10]
<h3>Answer:   y = (-3/2)x+3</h3>

In decimal form, this is y = -1.5x+3

=========================================

Explanation:

Start at (0,3). Move three units down and two units to the right to get to (2,0)

slope = rise/run

slope = -3/2

rise = -3 = go 3 units down

run = 2 = go 2 units to the right

--------------------------

We could use the two points (0,3) and (2,0) in the slope formula below

m = (y2-y1)/(x2-x1)

m = (0-3)/(2-0)

m = -3/2

So this is another way to see the slope is -3/2

--------------------------

The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3

Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3

5 0
3 years ago
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Tommy is buying a home it’s mortgage loan is 500,000 at 5 percent interest for 30 years making 12 payments a year one per month
zimovet [89]

Answer:

math is hard

Step-by-step explanation:

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3 years ago
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