3 years ago

Which of the following equations is equivalent to 3x + 4y =15

Mathematics

1 answer:

slavikrds [6]3 years ago

5 0

Answer:

x= −4 /3 y+5

Step-by-step explanation:

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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

3 years ago

Midpoint of the line with endpoints of (-1,2) and (7,3)

cricket20 [7]

To find the mid point you must

x = (x1 + x2) / 2
y = (y1 + y2) / 2

(3,2.5)

7 0

3 years ago

Does anybody know a website that can help me study for a geometry exam on proofs? My class gave be the information, I just don't

pshichka [43]

I would try Khan Academy. He does very good explainations

5 0

3 years ago

Dorene purchased a chocolate bar in a shape of a triangular prism at the local candy store.If the chocolate bar has a base area

Vlad [161]

Base area x Height
12 x 8 = 96 cubic units

5 0

3 years ago

What is the least common denominator of 5/6 and 7/9?

elixir [45]

multiples of 6 are: 6, 12,18,24,30,36,42,48,54

multiples of 9 are: 9,18,27,36,45,54

the lowest number they both have in common is 18

so the least common denominator is 18

7 0

3 years ago