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Deffense [45]
3 years ago
5

Point A is at (4,5) and lies on the graph of quadratic function f.

Mathematics
1 answer:
sveta [45]3 years ago
4 0
We know that

g(x)=f(2x)
the transformation of f(x) to------------> f(2x)

means that point  (a,b) in graph of  f(x) becomes a point  (a/2,b) in graph of f(2x)

therefore
point A  (4,5)-----> becomes a point (4/2,5)-----> (2,5) in the graph of g(x)

the answer  
the point is (2,5)
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Solve the system of equations.<br> <img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7By%3D220x-160%7D%20%5Catop%20%7By%3
Leni [432]

\begin{cases} y=220x-160\\ y=20x^2-400 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\textit{\Large y}}{220x-160}~~ = ~~20x^2-400} \\\\\\ -160=20x^2-220x-400\implies 0=20x^2-220x-240 \\\\\\ 0=20(x^2-11x-12)\implies 0=x^2-11x-12 \\\\\\ 0=(x-12)(x+1)\implies x= \begin{cases} 12\\ -1 \end{cases}

\dotfill\\\\ x=12\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(12)-160}\implies y=2480 \\\\\\ x=-1\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(-1)-160}\implies y=-380 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12~~,~~2480)\qquad (-1~~,~~-380)~\hfill

4 0
2 years ago
Find the Domain and Range of the following: (6.-1) (-2.2) (18,-1) (-2,3) Domain: Range: Is this relation a function?​
zheka24 [161]

Answer:

Domain: {-2,6,18}

Range: {-1,2,3}

This relation is not a function.

Step-by-step explanation:

The domain is all of the x values given listed in order from least to greatest and not repeating any numbers. The range is the same thing, but with the y values given. This is not a function because multiple ordered pairs have more than one output for the input. Let's take -2 in these ordered pairs. It has two different outputs, 3 and 2. Because of this, it is not a function.

Hope this helps!!

8 0
2 years ago
Can you guys help me pls NO LINKS
jolli1 [7]
It's 169.6mm in total so that closer to H
170mm
4 0
2 years ago
Rsm question please explain<br> The question is in the picture
strojnjashka [21]

A triangle is a three-edged polygon with three vertices. ΔAKE and ΔCKP are congruent.

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

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

In ΔABC, since AB≅BC, therefore, the triangle will be an isosceles triangle, and the measure of ∠A ≅ ∠C, using the base angle theorem.

Now In ΔAKE and ΔCKP,

∠A ≅ ∠C {Proved above}

∠AKE ≅ ∠CKP {Given}

AK ≅ KC {Given }

Since two angles and a side of the triangle are equal, therefore, we can write the two triangle are congruent using the Side-angle-side or Angle-Side-Angle congruence.

Hence, ΔAKE and ΔCKP are congruent.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

7 0
2 years ago
A box contains 24 yellow, 33 green and 35 red jelly beans. If 8 jelly beans are selected at random, what is the probability that
tensa zangetsu [6.8K]

Answer:

0.00014

Step-by-step explanation:

The box contains a total of 24 + 33 + 35 = 92 jelly beans

If we need to pick 8 jelly beans and want them all to be green:

We can choose 8 green jelly beans from 33 green in  C₃₃,₈ different ways

The total ways we can choose 8 jelly beans out from 92 is: C₉₂,₈

Thus, the probability we're looking for is C₃₃,₈ / C₉₂,₈ = 13884156/93080887185 =0.00014

8 0
3 years ago
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