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The function g(x) is a transformation (flipped upside down and horizontally stretched) of the quadratic parent function, f(x) = x2. g(x) = -0.5x².

Flipping upside down, is found by taking the negative of the original function; that is, the rule for this transformation is −f (x).

Since, g(x) is an upside down function of f(x), g(x) = -f(x).

If we multiply a function by a coefficient, the graph of the function will be stretched.

A function h(x) represents a horizontal compression of f(x) if h(x) = f(cx) and c > 1.

A function h(x) represents a horizontal stretch of f(x) if h(x) = f(cx) and 0 < c < 1.

Since, g(x) is clearly a stretched transformation of f(x), c < 1.

The possible function g(x) = -0.5x².

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After the increase in the dimensions of the sign, the effect on the area of the sign is that the new area is 8 times larger than the initial area.

The sign has the shape of a rectangle. A rectangle has four sides. The opposite sides are equal in length.

The area of a rectangle = length x width.

Jimmy is making the sign bigger by increasing the size of the length and width. Let's imagine that the width is 8cm and the length is 10cm.

The initial area of the sign = 10 x 8 = 80 cm

After the increase in the dimensions, the length is are 40cm and 16cm for the width.

New area = 40 x 16 = 640

Number of times the new area is greater than the initial area = 640 / 80 = 8 times larger

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Answer:

3

Step-by-step explanation:

3

Step-by-step explanation:

When it says y varies directly with x it just means that y and x are proportional/equal to each other. The constant of variation and the constant of proportionality are the same thing just different way of saying it so they can confuse you and make your life miserable. Since y and x are proportional to each other and the constant of proportionalty is -5 to make an equation that represents a line you use the formula y=mx+b. That is the slope of the line. With that formula let's first plus in the x so we have y=m2+b. The formula for direct variation is y=kx as well that's good to know and it's good to memorize all these formulas. Math becaomes easier when you have the process down pat and you just need to plug numbers into different equations, expressions, and scenarios. Do m = [y1 - y2] / [x1 - x2] and you'll get the answer.

Using the information given above, the sampling distribution of the sample proportion of 100-ohm gold-band is 2.

The sampling distribution of the sample proportion can be calculated thus:

Distribution of sample proportion = (100 × 0.02) = 2

Therefore, there is a probability that only 2 of the samples will have resistances exceeding 105 ohms.

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Answer:

The population of India would reach 3 billion in about 112 years (year 2128)

Step-by-step explanation:

1. subtract 1.327 billion by 1.053 billion  (1.327-1.053)

2. The answer you should get is 274,000,000 (two hundred seventy four million)

3. multiply 274,000,000 by 7 (amount of people required to reach about 3 billion)

4. add the product (ans to multiplication problem) to 1.327 billion. (you should get 3.245 billion (3245000000).

5. multiply 16 by 7 (16x7) to get the number of years to reach 3 billion (maybe 112)

6. Add the product to 2016

7. Therefore you get the year 2128.

Answer:

The entry fee is $8.25

Step-by-step explanation:

Total together: $30.75

She bought 15 tickets * $1.50 cost per 1 ticket

= $22.50

$30.75 (total) - $22.50 (price of tickets)= $8.25

Answer: 51

119=68+x => x=51

Answer:

True

Step-by-step explanation:

Linear equations are often used to model the relationship between the dependent variable that is affected by changes in the independent variable.  

For instance, the linear function: f(x) = 2x + 3, where f(x) is the output (dependent variable) depends on the value of the input, x (independent variable).  

Therefore, the correct answer is True.      

Answer:

y = 2/3x

Step-by-step explanation:

Answer:

y=2/3m

Step-by-step explanation:

the slope, m, equals rise over run

the slope rises 2, then runs 3, making 2/3

Hope this helps!

Answer:

66m, 35in?, 12m, 2km, 26cm

Step-by-step explanation:

22/17 = 1.294x51 = 66m

7/3 = 2.333x15? = 35in not sure if the number on the pic is 15

18/12 = 1.5x8 = 12m

6/27 = .2222x9 = 2km

6.5/2.5 = 2.6x10 = 26cm

Answer:

graph{x + 2 [-10, 10, -5, 5]}

Step-by-step explanation:

Answer:

x=9.5

Step-by-step explanation:

Answer:

4

8

+

2

{\color{#c92786}{\frac{4x}{8}}}+2

84x​+2

2

+

2

Step-by-step explanation: please mark brainliest

Answer:

The other measure is 60º

Step-by-step explanation:

a triangle= 180º total

a right triangle has one 90º angle

there is a 30º angle given

180-90=90

90-30=60

so 60º

Answer:

740 feet

Step-by-step explanation:

The speed of the cheetah is 74 feet per second:

speed = distance ÷ time

= 296 ÷ 4 = 74 feet per second

In 10 seconds:

distance = speed × time

= 74 × 10

= 740 feet

Answer:

740 Feet

Step-by-step explanation:

Given:  296 ft= 4 sec

To Find: 10 sec = [tex]\left[?}\right][/tex] ft

First we need to Find How many feet are in 1 second.

To find that,

Do 296 divided by 4

=

74

So 1 second = 74 Feet.

Then 74 ft Times 10 second

Which gives you

740 Feet.

Therefore, at 10 second rate gives you 740 Feet.

Answer:

B = x = 44 degrees

Step-by-step explanation:

Interior angles of a triangle = 180 degrees.

There are 2 congruent sides so the angle to the right of 67 degrees is also 67 degrees

180 - 2(67) = 46 degrees (the third angle of the triangle)

x + 46 degrees = 90 degrees ( complementary angles)

x = 44 degrees

Answer:

12

Step-by-step explanation:

6,400 is the nearest hundred

Answer:

1 3/5

Step-by-step explanation:

14 5/10 - 12 9/10

I like to line them up vertically

 14 5/10

- 12 9/10

-----------------

We need to borrow from the 14.  14 becomes 13 and the 1 becomes 10/10

 13 10/10+5/10

- 12 9/10

-----------------

13 15/10

- 12 9/10

-----------------

1  6/10

Simplify

1 3/5

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

-x^2 -6y+13x+7

The constant is the term with no variable attached to it

7 is the constant

Answer:

i don't know do you know

Step-by-step explanation:

Answer:

34 N.

Step-by-step explanation:

Net force in x direction = 65 cos 58

= 34 N.

Answer:

34N is the answer :)

Step-by-step explanation:

Answer:

−1(−15)(−3)

Hope this helps :)

-m2 + 18 m = 45

-m2 + m = 45/18

-m2 + m = 15/6

-m2 + m = 2.5

hope this helps

Answer:

sorry man I dont know what it is

Based on the cost of filling of the car, we can infer that Mr. Johnson does not have enough to spend on gas.

The car can take 25 gallons of gas and already has 4 liters inside it. The quantity of gas Mr. Johnson has to buy is:

= 25 - 4

= 21 gallons

The price of a gallon is $3.04. The price of 21 gallons would be:

= Price of gas x Number of gallons

= 3.04 x 21

= $63.84

In conclusion, Mr. Johnson does not have enough to spend on gas because he has only $50 yet the gas will cost $63.84.

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Answer:

-12/7

Step-by-step explanation:

2/3=4/x+3

2/3-3=4/x    Subtract 3 from both sides

2/3-9/3=4/x   Make them have a common denominator

-7/3=4/x

-7/3x=4

x=(4)/(-7/3)

x=[tex]\frac{-12}{7}[/tex]

Answer:

The answer is 2a^3\sqrt11a

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

2[tex]2\sqrt{11} a^{3} \sqrt{a}[/tex]

Step-by-step explanation:

Apply Radical rule: ([tex]\sqrt{ab}= \sqrt{a}\sqrt{b}[/tex])

Which gets you:

[tex]\sqrt{44a^{7} }=\sqrt{44}\sqrt{a^{7} }[/tex]

= [tex]\sqrt{44} \sqrt{a^{7} }[/tex]

Simplify and gets you the answer above

Step-by-step explanation:

it is given r=s

then, t =100.

2s+t=180°

2s=180-100

2s=80°

s=40° = r

hope this helps you.