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eduard
3 years ago
13

Are the expressions 3{y+1} and 3y+3 equivalent for any value? explain

Mathematics
2 answers:
andre [41]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

The distributive property states that a(b+c) = ab+ac. Working out the first equation, we see that 3(y+1) is 3y+3. Because the second equation is 3y+3, they are also equal.

solmaris [256]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

It is because you need to times in the answer

3(y+1) mutiply it in!

3times y and 3 times 1

it equals to 3y+3

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Pls help me!!
vlada-n [284]

Answer:

<h3>Q1</h3>

The graph of y = f(x), has vertex at (1, -2)

<u>The vertex of a function f(x - 3) is going to be:</u>

  • (1 - 3, -2) = (-2, -2)
<h3>Q2</h3>
  • <em>The graph of y = f(x) has the line x = 5 as an axis of symmetry. The graph also passes through the point (8,-7). Find another point that must lie on the graph of y = f(x).</em>

The axis of symmetry is at the same distance from the symmetric points.

x = 5 is a vertical line. The point (8, -7) is 3 units to the right. So the mirror point will be 3 units to the left and have same y-coordinate: x = 5 - 3 = 2

The point is (2, -7)

<h3>Q3</h3>

The graph in blue is the translation of the red to the left by 2 units.

<u>So the equation is:</u>

  • y = f(x + 2)
<h3>Q4</h3>

y = h(x) is graphed

  • h(7) = 5
  • h(h(7)) = h(5) = -1
<h3>Q5</h3>

The graph of the function y = u(x) given

This is a odd function.

The coordinates of u(x) and u(-x) add to zero because u(-x) = -u(x)

<u>Therefore:</u>

  • u(-2.72) + u(-0.81) + u(0.81) + u(2.72) =
  • [u(-2.72) + u(2.72)] + [u(-0.81) + u(0.81)] =
  • 0 + 0 = 0
3 0
3 years ago
the graph of F(x), shown below, has the same shape as the graph of G(x)=x^4. but it is shifted 3 units to the right. which is it
Naddik [55]

Answer:

<h2>C. F(x) = (x - 3)⁴</h2>

Step-by-step explanation:

f(x) + n - shift the graph of f(x) n units up

f(x) - n - shift the graph of f(x) n units down

f(x - n) - shift the graph of f(x) n units to the right

f(x + n) - shift the graph of f(x) n units to the left

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

The graph og G(x) = x⁴ shifted 3 units to the right.

Therefore F(x) = G(x - 3) = (x - 3)⁴

3 0
3 years ago
Factor : 21y^2 + 105y
expeople1 [14]
Gcf first
21y(y+5)
solutions are 0,-5
7 0
3 years ago
Read 2 more answers
CAN SOMEONE HELP ME PLS!!!!!
ad-work [718]

Answer:

5

Step-by-step explanation:

8 0
3 years ago
Log√30 - log√6 + log√2
Arada [10]

Assuming, it's decimal logarithm.

<h3>\log\sqrt{30}-\log\sqrt6+\log\sqrt2=\log\dfrac{\sqrt{30}\cdot\sqrt2}{\sqrt6}=\log \sqrt{10}=\dfrac{1}{2}\log 10=\dfrac{1}{2}\cdot 1=\dfrac{1}{2}</h3>
3 0
3 years ago
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