7. Are the given functions inverses? Why or why
not?
y = (x - 2)2 + 4
f-1(x) = +Vx – 4 + 2

Answer:

A

Step-by-step explanation:

my brain says so?

Answer

718.25 pi or 2,256.4489

Step-by-step explanation:

The volume formula for cylinders is V=pi * r^2 * h

So plug in your numbers!

r=6.5 h=17

pi times 6.5^2 times 17 = pi*718.25 or 2,256.4

Answer:

x=1

Step-by-step explanation:

if the zeroes are (-2,0) and (4,0), then the axis of symetry is going to be right in the middle of those two, with the graph reflected equally on either side.

so you get:

(4-2)÷2=1

therefore the equation of the axis of symetry is x=1

Answer:

38 is the correct answer

Step-by-step explanation:

6 x 7 - 16 ÷ 4

BODMAS

Division first

6 x 7 - 4

Then multiplication

42 - 4

Then subtraction

=38

The range of the function shown on the graph is 20≤y≤60

A relation is a function if it has only One y-value for each x-value.

What can go into a function is called the Domain.

What may possibly come out of a function is called the Codomain.

What actually comes out of a function is called the Range.

Range is all the possible values of 'y'.

When we observe the graph, the smallest value of 'y' is 20, where the point is (6, 20), and the largest value of 'y' is 60, where the point is (1, 60).

Therefore, the range of the function shown on the graph is 20≤y≤60

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What is the range of the function in the graph?

. 1≤x≤6

B. 20≤y≤60

C. 20≤x≤60

D. 1≤y≤60

Answer:

or, x^2-14x-51=0

or, x^2-(17-3)x-51=0

or, x^2-17x+3x-51=0

or, x(x-17)+3(x-17)=0

or, (x-17)(x+3)=0

Either, x-17=0. Or, x+3=0

x=17. x= -3

Hence,x=17, -3

[tex]x^2-51=14x\\\\\implies x^2-14x = 51\\\\\implies x^2 -2\cdot 7\cdot x+7^2-7^2 =51\\ \\\implies x^2 -2\cdot 7 \cdot x +7^2 = 51 +49\\\\\implies (x-7)^2=100\\\\\implies x-7 = \pm\sqrt{100}\\\\\implies x =\pm10+7\\ \\\text{Hence,}~ x=17, ~x=-3[/tex]

Answer:

4

Step-by-step explanation:

gradient = diffrence in y / diffrence in x

= 4-0/5-4

4

Answer:

See below ↓↓

Step-by-step explanation:

Taking the cos ratio of the angle

⇒ The angle formed is safe

Finding furthest possible distance

Answer:

Yes, the angle formed between the ground and the ladder is safe

6.84 ft (nearest hundredth)

Step-by-step explanation:

We can use the cos trig ratio to determine the angle made between the 20ft ladder and 3ft from the base of the house (see first attached image for sketch).

[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

[tex]\sf \implies \cos(\theta)=\dfrac{3}{20}[/tex]

[tex]\sf \implies \theta=\cos^{-1}\left(\dfrac{3}{20}\right)[/tex]

[tex]\sf \implies \theta=81.37307344..^{\circ}[/tex]

Therefore, as the ladder is forming an 81.37° angle and 81.37...° > 70° the angle formed between the ground and the ladder is safe.

To find the furthest possible distance the ladder can be placed, set [tex]\theta[/tex] to 70° (max safe angle) and the hypotenuse (ladder length) to 20, then solve for A (see second attache image for sketch):

[tex]\sf \implies \cos(70^{\circ})=\dfrac{A}{20}[/tex]

[tex]\sf \implies A=20\cos(70^{\circ})[/tex]

[tex]\sf \implies A=6.840402867...\: \sf ft[/tex]

So the furthest possible distance the ladder can be placed to maintain a safe angle is 6.84 ft (nearest hundredth).

The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour. If she biked for x hours:

Distance covered = 12 mph * x = 12x miles

The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.

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Answer:

1046.9

Step-by-step explanation:

The formula for calculating volume of a sphere is the following:

4/3·π·r³

The question asks for you to substitute 3.14 instead of using the exact number π.

∴V=4/3·3.14·6.3^3

V=1046.86344

Now round your answer to the nearest tenth:

1046.86344 -->1046.9

∴V=1046.9

For the given function f(x) = –5|x + 1| + 3 the value of x = 2, -4

To find the answer to this question, we will have to find the values of x where:

-5|x + 1| + 3 = -12

We can solve this equation for x to find the values of x that satisfy this equation.

-5|x + 1| + 3 = -12

Subtract 3 from both sides.

-5|x + 1| = -15

Divide both sides by -5.

|x + 1| = 3

Now here, the equation will split off into two different equations. These two are:

x + 1 = 3

x + 1 = -3

Lets solve the first one first.

x + 1 = 3

Subtract 1 from both sides.

x = 2

Now we solve the second one.

x + 1 = -3

Subtract 1 from both sides.

x = -4

So now we have the answers x = 2 and x = -4.

So the values of x are x = 2, -4

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Answer:

8

Step-by-step explanation:

[tex]a^2+b^2=c^2\\a^2+6^2=10^2\\a^2+36=100\\[/tex]

subtract 36 from each side

[tex]a^2=64\\\sqrt{a^2=64}\\a=8[/tex]

or you could recognize the 3-4-5 Pytagorean triple, as the ratio is doubled.

Answer:

No

Step-by-step explanation:

The biggest is the third side and the other two triangles have to bigger than that side and 8.0 plus 3.5 equals 11.5.

Answer:

If I am understanding the question correctly, every 6 feet in real life will be equivalent to 1 inch "on paper", or in the blueprint. Using dimensional analysis, which is a methodology for converting from one unit to another, we have:

18 feet * 1 inch / 6 feet = 3 inches

On the other axis,

24 feet * 1 inch / 6 feet = 4 inches

Therefore, the blueprint for this 18x24 foot room, with a scale of 6 feet:1inch, should be 3x4 inches.

Answer:

1,809 meters. (1 & 1/8 of a mile)

Step-by-step explanation:

quarter of a mile = 402 meters
402 * 4.5 = 1,809 meters = 1 1/8 mile

Answer:

it would be 5.5

Step-by-step explanation:

0.3  1.2  3.7  5.5  5.8  8.1  9.7

Answer:

4.9

Step-by-step explanation:

Median; add up all the numbers then divide by the amount of data points

1.2 + 5.8 + 3.7 + 9.7 + 5.5 + 0.3 + 8.1

7 + 3.7 = 10.7

10.7 + 9.7 = 20.4

20.4 + 5.5 = 25.9

25.9 + 0.3 = 26.2

26.2 + 8.1 = 34.3

34.3 / 7 =4.9

Answer:

Here is your answer

Step-by-step explanation:

What is 0.47 as a fraction? 0.47 as a fraction in simplest form is written as 47/100.

A fraction represents a part of a whole, written in the form of p/q where p and q are integers.

Here we will show you how to convert 0.47 decimal number to fraction form and as a mixed number with steps.

0.47 as a simplified fraction

47/100

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

47/100

Step-by-step explanation:

0.47 as a fraction in simplest form is written as 47/100.

Please mark me Brainliest

Q = mcΔt

Q = 14 x 0.385 x (85-50)

Q = 161.7 J

Answer:

7 (1-6)

Step-by-step explanation:

you find the greatest common factor of 7 and 42.

7

7x1

42

1x42

2x21

3x14

6x7

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.

Since AT and BT represent the radii of the circle, then the triangle ABT is an isosceles triangle. By geometry we know that the sum of internal angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.

The angles ATB and BTC are supplmentary and therefore the measure of the latter is 128°. The triangle BTC is also an isosceles triangle and the measure of angles TBC and TCB is 26°.

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

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The perimeter of the polygon will be 30 units. Then the correct option is D.

All the sides of the regular polygon are congruent to each other. The perimeter of the regular polygon of n sides will be the product of the number of the side and the side length of the regular polygon.

P = (Side length) x n

The sides length of the polygon is 10 units, 5 units, 3 units, 2.5 units, 7 units, and 2.5 units.

Then the perimeter of the polygon is given as,

P = 10 + 5 + 3 + 2.5 + 7 + 2.5

P = 30 units

The perimeter of the polygon will be 30 units. Then the correct option is D.

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Answer:

2.23

Step-by-step explanation:

Answer:

1,2,3,4 on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is an arithmetic sequence and the common difference = - 2

You might be a little puzzled by the minus sign in front of the two. You can look at the sequence for the answer. It is going down. A plus 2 would make it go up. Minus signs are always a bit tricky and you have to watch out what you do with them. But the rule is simple

You know that this is an arithmetic sequence because the common difference can be found by adding or subtracting a number from the previous term to get to the next term.

A geometrice sequence would use multiplication or division to get from one term to the next.

Answer:

5.735

pythagorian theorem is a^2 + B^2 = c^2

C is the longest side of the right triangle

Answer:

I think b

Step-by-step explanation: