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stiks02 [169]
3 years ago
7

The parabola y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 4/3 What is the equation of the new

parabola? y=? if anyone can he quickly it would be greatly appreciated its due today soo
Mathematics
2 answers:
Strike441 [17]3 years ago
7 0

Answer: y = -\frac{4}{3}x^{2}

<u>Step-by-step explanation:</u>

y = ax² ; where a represents the vertical stretch

a reflection across the x-axis is represented by making the a-value negative.

tatuchka [14]3 years ago
6 0

Answer:

y=-\frac{4}{3}x^{2}

Step-by-step explanation:

The given parabola is a parent function, that is, it's the simplest form of a parabola.

The first transformation is about a reflection across the x-axis, this means that we need to multiplied the squared factor by a negative signed, that is

y=-x^{2}

This represents a parabola reflected across the x-axis.

The second transformation is about a scale factor of 4/3, this means that the function has to be multiplied by this factor to obtain the transformation. The expression would be

y=-\frac{4}{3}x^{2}

Therefore, this final expression represents the function reflected across the x-axis and scaled by a factor of 4/3.

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P- 24/n = 30/100<br><br> What’s N?<br><br> Z- n/4 = 18/72<br><br> What’s N?
Vilka [71]

Answer:

Z: n = 1 P: n =80

Step-by-step explanation:

cross multiple what you can and divide it by the last number left to find n

8 0
3 years ago
Can you help me with this problem please
Over [174]

Remark

I think you want us to do both 3 and 4


Three

QR is 4 points going left from the y axis + 2 points going right from the y axis.

QR = 6 units long.


RT is 4 units above the x axis and 3 units below the x axis

RT = 7 units long


TS = 3 units. For this one you just go from T to S. The graph really helps you. You just need to count.


Problem 4

You need to find the area of the combined figure. You could do it as a trapezoid, which might be the easiest way. I'll do that first.


Area = (b1 + b2)*h/2


Givens

B1 = QR = 6

B2 = UT + TS = 6 + 3 = 9

h = RT = 7


Area

Area = (6 + 9)*7/2

Area = 15 * 7 / 2

Area = 52.5


Comment

You could break this up into a rectangle + a triangle

Find the area of QRTU and add the Area of triangle RTS


<em>Area of the rectangle </em>= L * W

L = RT = 7

W = QR = 6

Area = 7 *6 = 42


<em>Area of the triangle</em> = 1/2 * B * H

B = TS = 3

H = RT =7

Area = 1/2 * 3 * 7

Area = 1/2 * 21

Area = 10.5


Total Area = 42 + 10.5 = 52.5 Both answers agree.

3 0
3 years ago
Imagine having 20 currency notes , consisting of $5 bills , and $10 bills that total $125. Write a system of equations to descri
Maurinko [17]
X-the $5 bills 
y-the $10 bills

x+y=20
5x+10y=120  

It's a system.
7 0
3 years ago
Read 2 more answers
Thomas took three 100-point quizzes, and the mean score for the three quizzes was 87 points. If the highest score is taken away,
Olegator [25]

Answer:

The highest score is 94.

Step-by-step explanation:

Let the highest score be denoted by, <em>A</em>, the lowest score be, <em>B</em> and the middle score be <em>X</em>.

Then,

A + X + B = 87 × 3 = 261 ...(i)

X + B = 83.5 × 2 = 167 ...(ii)

⇒ B = 167 - X ...(iii)

A + X = 89 × 2 = 178 ...(iv)

⇒ A = 178 - X ...(v)

Substitute (iii) and (v) in (i) and solve for <em>X</em> as follows:

A + X + B = 261

178 - X + X + 167 - X = 261

345 - X = 261

X = 84

Substitute the value of <em>X</em> in (iii) and solve for B as follows:

B = 167 - X

   = 167 - 84

   = 83

Substitute the value of <em>X</em> in (v) and solve for A as follows:

A = 178 - X

   = 178 - 84

   = 94

Thus, the highest score is 94.

5 0
3 years ago
I need help with this question, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find
Tema [17]

Answer:The measure of the arc RPQ is 205°

Step-by-step explanation:

Given the figure in which

m∠ROP=125°

we have to find the measure of the arc RPQ.

As QP is diameter i.e a straight line therefore

∠1 and ∠2 forms a linear pair hence these angles are supplementary.

By supplementary law

∠1+∠2=180°

∠1+125°=180°

∠1=180°-125°=55°

Now we have to find the measure of the arc RPQ i.e

we have to find the measure of ∠2+∠3

By theorem, angles around a point will always add up to 360 degrees.

∴ ∠1+∠2+∠3=360°

55°+∠2+∠3=360°

∠2+∠3=860-55=205°

Hence, the measure of the arc RPQ is 205°

5 0
3 years ago
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