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EastWind [94]
2 years ago
14

Which of the functions is a linear function? PLEASE I NEED HELP!! A) y = x to the 3 power + 3 B) y = 2/x + 2 C) y = 3x to the 2

power +1 OR D) y = 4x - 8
Mathematics
1 answer:
Nata [24]2 years ago
8 0
<h3>Answer:  D) y = 4x - 8</h3>

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

Explanation:

All linear functions can be written into the form y = mx+b

m = slope

b = y intercept

Choice D is of that form. In this case, m = 4 and b = -8

Choices A and C involve exponents larger than 1, which is why we don't have linear equations here. If you were to graph these, you'll find they produce nonlinear curves (i.e. curves that aren't straight lines). The same goes for choice B as well. Linear equations cannot have x in the denominator.

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Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)
Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

8 0
2 years ago
If you are doing distance do you add or subtract?
zavuch27 [327]

Answer:

it depends on what the question asks

Step-by-step explanation:

7 0
3 years ago
Reena bought a mobile phone for 16,240 that included a GST of 12%. Find the price of the mobile phone before the GST was added.​
NNADVOKAT [17]

Answer: 14500

Step-by-step explanation:

Let the price of the mobile phone before the GST was added be represented by x.

Therefore,

x + (12% × x) = 16240

x + 0.12x = 16240

1.12x = 16240

x = 16240/1.12

x = 14500

The price of the mobile phone before the GST was added was 14500

4 0
3 years ago
What is the solution of the equation √2x-3-3=6?<br><br><br> A) 42 <br> B) 39<br> C) 3<br> D) 6
Firlakuza [10]

Answer:

42

Step-by-step explanation:

√2x-3-3=6

√2x-3=6+3

√2x-3=9

2x-3=9^2

2x=81+3

X=84/2

X=42

So value of X is 42

4 0
3 years ago
Help Plez<br> Thanksssssssssasss :P
Nimfa-mama [501]

Step-by-step explanation:

1.s^13

2.g^41

3.b^-1

They are the required answers.

4 0
2 years ago
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