Write a formula for function h in terms of function f.
h(x)=

Answer:

Step-by-step explanation:

Simply divide the numbers, the result is the quotient

The quotient of the given expression when 1,224 divided by 9 is 136.

The quotient is defined as the number obtained on dividing a number with some number.

The number left after the division is called as the remainder.

Example: When 37 is divided by 5, the quotient is 5 and the remainder is 2.

The quotient of the following expression can be calculated as:

When 1224 is divided by 9, it gets divisible in 136 times completely, leaving no remainder.

So, it can be said that 136 is the quotient when 1,224 divided by 9.

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Using the vertex of a quadratic equation, it is found that P is at a maximum for l = -0.5 thousand foot-candles.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the function for P is given by:

[tex]P(l) = \frac{110l}{l^2 + l + 4}[/tex]

The function will be at a maximum when the denominator is at a minimum. The denominator is a quadratic function with coefficients a = 1, b = 1, c = 4, hence:

[tex]l_v = -\frac{b}{2a} = -\frac{1}{2} = -0.5[/tex]

P is at a maximum for l = -0.5 thousand foot-candles.

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Sam first one

Craig second one

Randy third one

Charlie fourth one

From the data second is Craig, third is Randy and fourth is Charlie.

Given that, 4 persons ran a race.

Craig took 25.9 minutes

32.28 minutes took by Charlie

32.2 minutes by Randy

25.85 by Sam

To find who own second, third and fourth

Arranged the decimals in ascending order and found the answers.

By arranging in ascending order:

Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.

First is Sam = 25.85

Second is Craig = 25.9

Third is Randy = 32.2

Fourth is Charlie = 32.28

Hence, from the data second is Craig, third is Randy and fourth is Charlie.

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Answer:

Yes it does!

Have an amazing day!!

Please rate and mark brainliest!

Answer:

y=2x+3

Step-by-step explanation:

Because the y-intercept starts at 3 and it goes up by 2 and to the side 1 so it would be y = 2x +3

Answer: y = 2x + 3

Step-by-step explanation:

    We will write the equation in slope-intercept form.

y = mx + b

    The slope can be found with "rise over run" since we have clear points on the graph.

    Start at (0, 3), count up 2 units, and count one unit to the right. This gives us a slope of positive 2.

    Rise / run = 2 / 1 = 2

    The "b" value is where the line hits the y-axis. It hits the y-axis at y-coordinate 3, so our y-intercept is positive 3.

    Final equation:

y = 2x + 3

Answer:

1000/320=100/32=25/8 pounds of flour per piece of bread

Step-by-step explanation:

[tex]if \: each \: loaf \: contains \: the \: same \: amount \: of \: flour \: then \: each \: loaf \: contains \\ = \frac{1000}{320} \\ = 3.125[/tex]

therefore each loaf contains 3.125 pounds

Answer:

BC = 30.73

Here,

[tex]\sf \frac{AB}{BQ} = \frac{CD}{DQ}[/tex]

so first solve for QD

[tex]\sf \hookrightarrow \frac{32}{15} = \frac{19.2}{DQ}[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =19.2(15)[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =288[/tex]

[tex]\sf \hookrightarrow DQ =9[/tex]

Now! using Pythagoras theorem,

Answer:

BC = 30.7 units (nearest tenth)

Step-by-step explanation:

As ∠AQR = ∠CQR  then ∠AQB = ∠CQD

This means that ΔABQ ~ ΔCDQ

Therefore, the side lengths of two similar triangles are proportional.

[tex]\begin{aligned} \sf \dfrac{AB}{CD} & =\sf \dfrac{BQ}{QD}\\\sf \implies \dfrac{32}{19.2} & =\sf \dfrac{15.0}{QD}\\\sf \implies QD & = \sf 9 \end{aligned}[/tex]

Pythagoras' Theorem:  [tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting values into the formula:

[tex]\begin{aligned}\sf 24^2+19.2^2 & = \sf BC^2\\\sf BC^2 & = \sf 944.64\\\sf BC & = \sf \pm\sqrt{944.64}\\\sf BC & = \sf 30.7 \ (nearest \ tenth)\end{aligned}[/tex]

(since distance is positive only)

Answer:

??

Step-by-step explanation:

pls type the question properly have a good day:-)

Answer:

9

Step-by-step explanation:

Lowest chart value = 0

Highest chart value = 9

Range: highest chart value - lowest chart value

Range: 9 - 0

Range: 9

Hope this helps!

Answer:

40

Step-by-step explanation:

20/.5

Answer: All except 3 in.

Step-by-step explanation:

 Two shorter sides of a triangle are equal to or bigger than the longest side. So the answer is all of them except 3 inches.

Answer:

that is a 1/3 dialation, becuase you can estimate the base of the bigger triangle to be around 12 and the base of the smaller triangle is 4, and that would be a fraction that is something like 4/12 which happens to be equal to 1/3.

Answer:

∠5 = 90°

∠3 =90

Step-by-step explanation:

∠4 + ∠5 = 180   {Linear pair}

90 +∠5 = 180

      ∠5 = 180 - 90

∠5 = 90°

∠3 = ∠4   {Verically opposite angles}

∠3 = 90°

Answer:

Step-by-step explanation:

Answer:

150metres by 100metres

Answer:

3/4

Step-by-step explanation: i took test. pls give brainliest.

Answer:

p = [tex]\frac{q-4}{3}[/tex]

Step-by-step explanation:

q - 2p = p + 4

=> p + 2p = q - 4

=> 3p = q - 4

=> [tex]\frac{3p}{3} =\frac{q-4}{3}[/tex]

=> p = [tex]\frac{q - 4}{3}[/tex]

hope this helps!! p.s. i really need brainliest :)

Answer:

p = (q - 4)/ 3.

Step-by-step explanation:

q - 2p = p + 4

q - 2p - p = 4

-3p = 4 - q

p = -(4 - q)/3

p = (q - 4)/ 3

Answer:

the shaded area= area of the regular hexagon-the area of the regular pentagon+ the area of the square-the area of the equilateral triangle

Step-by-step explanation:

for the equation to be true we must first identify the shapes used.

the shapes used include  

now that we know the shapes we must find out which shapes are shaded

now we know which shapes are shaded we can now form the equation to find the area

i will turn the shapes into varibles so its easier on my brain and yours

we can know use the info gathered earlier to create the equation

shaded area = (area of the regular hexagon - area of the regular pentagon (the hexagon is shaded while the pentagon is not therefore you would subtract the area of the hexagon by the area of the pentagon))+(area of the square- area of the triangle( same reason as the hexagon and pentagon the triangle is not shaded therefore creating a gap in the square)

or in other words with the variables

A=( h-p )+( s-t )

if your still not convinced see the attached image

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Answer:

62.83

nearest tenth 62.8

Answer:

The graph is shown below

Step-by-step explanation:

So, we can see that it is a linear equation, and the slope is 1/3x. Simply graph a line that has a slope of 1/3. Then, Becuase it shows y is greater than, we would shade above becuase y is greater than. But becuase it is not or equal to, we would create the line with dashes.

Answer:

Acute

Step-by-step explanation:

This should be an acute triangle because if this was a right angle, then the three sides should be figured out by the Pythagorean Theorem.

An obtuse angle wouldn't be right either, you need an angle to be over 90.

Answer:

(x+2)^2 + (y-4)^2 = 4^2

Step-by-step explanation:

A circle is x^2 + y^2 = 1 , where r = 1

The radius of that circle looks to appear to be r = 4.

x^2 + y^2 = 4^2

Transition that circle origin from (0,0) to (-2,4)

The origin is (-2,4) which mean h = -2 left and k = 4 up.

(x-h)^2 + (y-k)^2 = 4^2

(x-(-2))^2 + (y-4)^2 =4^2

Step-by-step explanation:

here you go also I like your profile picture classroom of elite !

A. -3

Hope it helps............

The greatest value in the set (-144, -4, -3, -13) is,

⇒ - 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The set is,

⇒ (-144, -4, -3, -13)

Now, By the given set we have;

⇒ - 144 < - 13 < - 4 < -3

Therefore, We have;

The greatest value in the set (-144, -4, -3, -13) is,

⇒ - 3

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Answer:

True

Step-by-step explanation:

Answer:

Hi mate

Step-by-step explanation:

Your question

[tex] {(5p + 2)}^{2} [/tex]

Applying identity we get

[tex] {5p}^{2} + 2(5p)(2) + {2}^{2} [/tex]

Now finding answer

[tex] {25p}^{2} + 20p + 4[/tex]

Thsi is answer

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Hi!

Given:

[tex](5p+2)^2[/tex]

The exponent of 2 shows we need to multiply it all by itself.

This is equal to:

[tex](5p+2)(5p+2)[/tex]

Use Distributive property and FOIL method:

[tex]25p^2+10p+10p+4[/tex]

Combine like terms:

[tex]25p^2+20p+4[/tex]

NOTE: if you are not familiar with the FOIL method, see the attached image below:

Answer:

1st option

Step-by-step explanation:

Check out the attached photo

Answer:

47

Step-by-step explanation:

6n + 5y + 4z

substitute the variables

6(4) + 5(3) + 4(2)

6 x 4 = 24

5 x 3 = 15

4 x 2 = 8

24 + 15 + 8

= 47

Answer:

6

Step-by-step explanation:

4 units x 3 units = 12 units / 2 to get a triangle

Answer:

i think its (2 x 2^2) (3x3^2)

Step-by-step explanation: