The graph G is the result of a transformation of the graph y = f(x).
a) Write down, in terms of f, the equation of graph G.

The graph of y = f(x) has a maximum point at (3, 4).
b) Write down the coordinates of the maximum point of the graph of y = -f(x).

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Work Shown:

y = (1/2)x + 3/2

2y = x + 3 .... multiply every term by the LCD 2

2y-x = 3 ... subtract x from both sides

-x+2y = 3

x-2y = -3 ... multiply both sides by -1

The last step is done so that the x coefficient is positive

The equation is in the form Ax+By = C with

You could have your answer as -x+2y = 3, since that is also in standard form. But many math textbooks make A > 0.

Answer:

0,1-0,9

-0,8

Step-by-step explanation:

Subtract the second point from the first point.

Let the shorter piece be x. The longer piece is 4 times the length of the other, so it is 4x.

4x + x = 160.

5x = 160

x = 32

4x = 128

The length of the shorter piece is x, which is 32.

Answer:

A) T10 = 50.549391

    M10 = 50.477547

B)  ║ET10 ║= 0.169093

    ║EM10║= 0.084946

C)for ║ETN ║   N = 421

   for ║EMN ║  N = 292

   Step-by-step explanation:

A) F(x) = 25e[tex]^{\frac{1}{x} }[/tex]

where a = 1, b = 2 and bx = 1/10

attached below is the detailed solution

B) f'(x) = [tex]- \frac{25}{x^{2} } e^{\frac{1}{x} } ,[/tex]   f"(x) = 25 [([tex](\frac{2x+1}{x^4} )e^{\frac{1}{x} }[/tex]

attached below is the detailed solution

Answer:

I think the answer is D

Answer:

7; 19; 24; 10; 17; 21; 6; 22; 5; 9

Arrange: 5; 5; 6; 7; 9; 10; 17; 19; 21; 22; 24

( 5+5+6+7+9+10+17+19+21+22+24 ) / 11

Mean = 145 / 11

Mean = 13,18

Mode = 5

(5 is the only value that appears most often)

Median = 10

Answer:

Step-by-step explanation: 119.5

Answer:

tenths

Step-by-step explanation:

the 2 is in the ones place and the 5 is in the hundreds meaning the 3 would be in the tenths

Answer:

Indirect variation

Step-by-step explanation:

If two variables change in inverse proportion, then it is called indirect variation.

xy = k where k is a constant.

5*2 = 10

10*1 =10

[tex]15*\dfrac{2}{3}=5*2=10\\\\\\20*\dfrac{1}{2}=10[/tex]

So, this is indirect variation.

Answer:

The truck will need to make 3 trips.

Step-by-step explanation:

First, we need to find the volume that the truck can carry. Using the dimensions of the truck and the volume formula, we have:

[tex]V=lwh\\V=8.5\times5\times3.5\\V=148.75\text{ ft}^3[/tex]

Since we need to move a total of 400 cubic feet, we will divide that amount by the truckload capacity (volume).

[tex]400 \div 148.75 \approx 2.689[/tex]

In context, he will need to take three truck loads: two loads will be full, and the third will not be full.

Answer:

-15625

Step-by-step explanation:

Hope this helped !! :)

Have a good day.

Answer:

370

Step-by-step explanation:

Isolate the numbers so that you are only dividing sections at a time.

So 25 goes in to 92 three times. so we multiply 25 by three and subtract that from 92. Put the three at the top and repeat throughout.

92-75=17

Bring the next number down and repeat.

Answer: 370 Remainder 0

Step-by-step explanation:

Answer:

Solving steps:

find the value of y when x = 1

=> y = 8(1)

multiply 8 by 1

=> y = 8

Hey there!

ORIGINAL EQUATION: y = 8x

This one should be quite easy to answer because we already have the value of x. (x = 1) all we have to do is find the y-value and where it is on the number line.

NEW EQUATION: y = 8(1)

SIMPLIFY IT!

y = 8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The first one should be the answer. 90 degrees counterclockwise.

Answer:

See below.

Step-by-step explanation:

The answer would be 90 degrees counterclockwise. Think of a clock. The direction it usually goes is clockwise. The opposite direction is counterclockwise. So, this triangle rotated counterclockwise.

-hope it helps

Answer:

the parallel lines

Step-by-step explanation:

the title is classifying angles... the parallel lines don't have an angle so I'm guessing it's the parallel lines

Answer:

No, these equations are not parallel.

Step-by-step explanation:

The equation [tex]y=0[/tex] is a vertical line. This equation, in fact, is the y-axis.

The equation [tex]x=0[/tex] is a horizontal line. This equation, in fact, is the x-axis.

These lines are perpendicular, not parallel.

Answer: 32ft²

Step-by-step explanation:

The area of a trapezoid is given by the formula: A = [(b1+b2)/2] x h, where b1 and b2 are the two bases, and h is the height.

In our situation, b1 = 3, and b2 = 5. The height is given as 2.

Plugging these numbers into our formula:

A = (b1+b2)/2 x h

A = [(3+5)/2] x 2

A = (8/2) x 2

A = 4 x 2

A = 8ft²

8ft² is the area of one trapezoid. If Mr. Smith wants to fit 4 of these shapes into the room, the combined area will be 4 x 8 = 32ft².

Have a nice day :)

Answer:

[tex]\frac{12}{49}[/tex]

explanation:

Use the keep change flip method. This consists of literally flipping a fraction to make the denominators alike, allowing for faster solves and multiplication.

[tex]2\frac{1}{3}[/tex] is [tex]\frac{7}{3}[/tex], so flip 7/3 so it is 3/7, matching up with 4/7.

Next, multiply.

4 x 3

7 x 7

4 x 3 is 12. Write 12 as a numerator.

7 x 7 is 49. Write 49 as a denominator.

Therefore, the answer is [tex]\frac{12}{49}[/tex]

Simplifying? We cannot simplify this number due to a lack of factors.

Answer:

[tex]5(n + 4)^{\frac{3}{2} }[/tex]  

I hope this helps!

Answer:40

Step-by-step explanation: because 70 times 2 = 140 and you add 40 will equal 180 because every triangle equals 180

The measure of angle m<P is 40 degrees

The given triangle is an isosceles triangle where:

m<R = m<Q

Taking the sum of the interior angles, we will have:

m<P + ,m<Q + m<R  = 180

70 + 70 + m<P = 180

m<P = 180 - 140

m<P= 40 degrees

Hence the measure of angle m<P is 40 degrees

Larn more angles in a triangle here: https://brainly.com/question/25215131

Answer:

60

Step-by-step explanation:

$600

each person paid $10

600/10

60

Answer:

m<w= 36°

Step-by-step explanation:

Step 1) Applying geometric and algebraic knowledge, the two angles to the left are both 90, and equal to 180. If you add those two angles and the 146°, you will be given 326 in total.

90+90= 180 +146 = 326

Step 2) With knowledge that the sum of all interior angles inside of a quadrilateral add up to 360, subtract 326 from this.

360-326=36

Final product: m<w=36°

Answer: He has used up 117 calories.

Step-by-step explanation:

Given, For 62% as factor, calories burned (E)= (weight)(0.62).

Also, if they run an 8-minute mile, the factor is 65%.  [given]

Then, calories burned (E)= (weight)(0.65). [65%=0.65]

Weight of man = 180 lb

Then, calories burned (E)= 180 x (0.65).

= 117

Thus , he burned 117 calories.

So, he has used up 117 calories.

Answer:

9:22

Step-by-step explanation:

Find the LCM Least common multiple of all three numbers (minutes)

3,4,5  LCM is 60

Divide each one into the LCM

60/3 = 20

60/4 =  15

60/5 =  12

Totals =82

add that to the time 8:00

82 is an Hour and 22 minute so it would be 9:22

I looked at other problems and this is how they solved it.  I hope it helps

Answer:

$560

Step-by-step explanation:

1/5th the original price just means 20%

20% of 700 is 140

700*.20= 140

Since it's 20% off that means subtraction

700-140=560

Hope this helps!