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Phantasy [73]
3 years ago
14

Given that g(x)=3x²-5x+7 find each of the following

Mathematics
1 answer:
melomori [17]3 years ago
5 0
G(x) = 3x² - 5x + 7

b) g(-2) ==> Substitude -2 into x

g(-2) = 3(-2)² - 5(-2) + 7
g(-2) = 12 + 10 + 7
g(-2) = 29

c) g(4) ==> Substitude 4 into x

g(4) = 3(4)² - 5(4) + 7
g(4) = 48 - 20 + 7
g(4) = 35

d) g(-x) ==> Substitude -x into x

g(-x) = 3(-x)² - 5(-x) + 7
g(-x) = -3x² + 5x + 7

e) g(1 - t) ==> Substitude 1 - t into x

g(1 - t) = 3(1 - t)² - 5(1 - t) + 7
g(1 - t) = 3(1 - 2t + t²) - 5 + 5t + 7
g(1 - t) = 3 - 6t + 3t² - 5 + 5t + 7
g(1 - t) = 3t² - t + 5
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Can some one explain to me what substitution is and how to use it to solve equations?
Yakvenalex [24]

Answer:

Step-by-step explanation:

Say that your equation is 2x+4=8, x=2

you would plug in the 2 where your x is so, 2(2) +4=8

then you'd solve regularly.

Hope my answer has helped you!

5 0
3 years ago
Induced pluripotent stem cells are cells from adults that have been reprogrammed to imitate embryonic stem cells. Why might indu
FinnZ [79.3K]

Induced pluripotent stem cells can be a valuable tool in science and medicine because: A. induced pluripotent stem cells can become any cell type in the body, but are from adults, avoiding the controversies associated with embryonic stem cells.

<h3>What is a cell?</h3>

A cell can be defined as the fundamental functional, structural and smallest unit of life, which is typically found in all living organisms.  

In Science, all living organisms are broadly grouped into two (2) main categories according to cell type and these include the following;

  • Unicellular organisms
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Basically, the reason why induced pluripotent stem cells can be a valuable tool in science and medicine is simply because they can become any cell type within the body of a living organism, but are usually derived from adults that are avoiding the controversies associated with embryonic stem cells.

Read more on induced pluripotent stem cells here: brainly.com/question/13235525

#SPJ1

Complete Question:

Induced pluripotent stem cells are cells from adults that have been reprogrammed to imitate embryonic stem cells. Why might induced pluripotent stem cells be a valuable tool in science and medicine?

A. Induced pluripotent stem cells can become any cell type in the body, but are from adults, avoiding the controversies associated with embryonic stem cells

B. Induced pluripotent stem cells are the only type of stem cell that's truly pluripotent.

C. Induced pluripotent stem cells may become any cell type in the body, but are fraught with ethical questions over their use.

D. Induced pluripotent stem cells are derived from adult cells and therefore may have DNA abnormalities, allowing scientists to understand the effects of sun exposure or toxins on DNA

4 0
2 years ago
Which of these expressions are equivalent to 7 1/2
jekas [21]

Answer:

it's 7.5

Step-by-step explanation:

1/2 as a decimal is 0.5

5 0
2 years ago
Find the image of (–7, –3) reflected across the x-axis. A. (–7, 3) B. (7, –3) C. (7, 3) D. (–7, –3)
Naddika [18.5K]

Answer:

(-7, -3) (Answer A)

Step-by-step explanation:

We start with the point (-7, -3).  The x-coordinate does not change at all if we reflect this point across the x-axis.  Whereas the y-value of (-7, -3) is -3, we end up with +3 after this reflection.  The desired image is (-7, +3)  (Answer A)

8 0
3 years ago
What is -3x^2-4x-4=0
ss7ja [257]

Answer:

<h2>no real solution</h2>

Step-by-step explanation:

-3x^2-4x-4=0\qquad\text{change the signs}\\\\3x^2+4x+4=0\\\\\text{use the quadratic formula:}\\\\\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then an equation has two solutions:}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{We have}\ a=3,\ b=4,\ c=4.\\\\\text{Substitute:}\\\\b^2-4ac=4^2-4(3)(4)=16-48=-32

8 0
3 years ago
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