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ch4aika [34]
2 years ago
7

Which of the following equations is equivalent to −6x+2y=24?

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
3 0

Answer:

The choice three ;

y = 3x + 12

Step-by-step explanation:

- 6x + 2y = 24 \\ 2y = 24 + 6x \\ \\ y = \frac{24 + 6x}{2}   \\  \\ y =  \frac{24}{2}  +  \frac{6x}{2}  \\  \\ y = 12 + 3x

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Find the x-intercepts, use the zero product property, r(r+7)=0
UkoKoshka [18]

9514 1404 393

Answer:

  r = 0

  r = -7

Step-by-step explanation:

There is no x in the equation, hence there are no x-intercepts.

__

If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.

The factors are r and (r+7).

The factor r is zero when ...

  r = 0

The factor (r+7) is zero when ...

  r +7 = 0   ⇒   r = -7

The "x-intercepts" are r=0 and r=-7.

4 0
3 years ago
Are the triangles congruent if they are which theorem and why?
leonid [27]
Yes the sides are equal to each other
7 0
3 years ago
Find the slope of the line graphed in the diagram and choose the correct answer from the choices below. The two intercepts are (
kvasek [131]
The correct slope is -5/2.

The formula for slope is

m = (y₂-y₁)/(x₂-x₁)

The y-coordinate of the second point is 0, and the y-coordinate of the first point is 2.  The x-coordinate of the second point is 0.8 and the x-coordinate of the first point is 0:

m = (0-2)/(0.8-0) = -2/0.8 = -2 ÷ 8/10 = -2 × 10/8 = -2/1 × 10/8 = -20/8 = -5/2
3 0
3 years ago
Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
marishachu [46]

Answer:

\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18

Step-by-step explanation:

We have been given the function

f(x)=-2x^2+4x^3+3x^2+18

From the rational zeros theorem, we have

\text{Possible rational zeros}=\pm\frac{\text{Factors of constant term}}{\text{Factors of leading coefficient}}

From the given function,

Leading coefficient = 2

Factors of 2 are 1,2

Constant term = 18

Factors of constant term = 1, 2, 3, 6, 9, 18

Hence, we have

\text{Possible rational zeros}=\pm\frac{1,2,3,6,9,18}{1,2}\\\\\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18

6 0
3 years ago
F the simple interest on ​$4000 for 6 years is ​$1440​, then what is the interest​ rate?
Alborosie

Answer:

Step-by-step explanation:

rate=\frac{interest \times 100}{principle \times time } \\=\frac{1440 \times 100}{4000 \times 6 } \\=6 \%

7 0
2 years ago
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