Suppose r(x) and t(x) are two functions with the same domain, and let h(x)=r(x)+t(x).

Suppose also that each of the 3 functions r, t and h, has a maximum value in this domain (i.e. a value that is greater than or equal to all the other values of the function).

Let M = the maximum value of r(x),
N = the maximum value of t(x), and
P = the maximum value of h(x).
How might the following always be true that M+N=P?

Prove the relationship to be true, or state what relationship does exist between the numbers M+N and P.

Answer:

length=10 ft

width=5 ft

Step-by-step explanation:

10×5=50

10÷2=5

Answer:

5

Step-by-step explanation:

584,772 rounds to 600,000

Answer:

The pattern is plus 3, then plus 5

Step-by-step explanation:

1. 1 + 3= 4

2.  4 + 5= 9

So, the pattern is, plus 3 then plus 5

Answer:

x = 110°

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary (i.e. add up to 180°)

Therefore

70°+x = 180

x = 180-70

= 110°

Answer:

1993

Step-by-step explanation:

Something is liquid if you can easily convert it into cash

So something like a car is not liquid (because it takes time to sell the car)

but something like a checking account is liquid (because it's easy to widthdraw your money)

so we have

1310+683= 1993

Answer:

System of equations:

3.5c + 5a = 377

c + a = 85

Solved:

(53, 32)

Step-by-step explanation:

32 children's tickets were sold and 53 adults tickets were sold.

Answer:

Area of his yard = 19680ft²

Fertilizer needed = 590.4 ounces

Step-by-step explanation:

Step 1 Find the area of his lawn

The question states that his lawn is a rectangle that measures 240 feet by 82 feet

To find the area of a rectangle we simply multiply the side lengths

Hence, area of his yard = 240 * 82 = 19680ft²

Step 2 find amount of fertilizer needed.

The question states that .03 ounces is used per square foot.

So to find the amount of fertilizer needed simply multiply total area by amount used per square foot.

19680 * .03 = 590.4

So we can conclude that John will need 590.4 ounces of fertilizer

Answer and Step-by-step explanation:

To find the volume, simply multiply all the sides together.

0.5 × 0.5 × 1 = 0.25 is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

$5,980

Step-by-step explanation:

23% of $1,000 = $230

so, Martha's deductions for a full calendar year =

52/2 × $230 = $5,980

Answer:

y - 3 = - 5(x - 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 5 and (a, b) = (6, 3) , then

y - 3 = - 5(x - 6)

Given :-

To Find :-

Solution :-

As we know that the point slope form of the line is ,

→ y - y1 = m ( x - x1 )

→ y - 3 = -5( x - 6)

Hence the required answer is y - 3 = -5( x - 6 ) .

Answer:

Side c

Step-by-step explanation:

Generally triangles can be classified with respect to their sides, or their angles. And there is a relationship between the length of the sides and the measure of the opposite angles of a given triangle. The relationship is that; the longest length of side is the one that is always opposite to the greatest angle.

In the given question, the longest side given that m<A = 49°, m<B = 24°, and m<C = 107° of the internal angles of the triangle is side c. Since side c is opposite the greatest angle, <C.

Answer:

<

Step-by-step explanation:

Answer:

a 3x-7=12x

Step-by-step explanation:

=6.33333333

Answer:

1428%

Step-by-step explanation:

since 1=100%, in other words, multiplying it by 100, should get you the answer to positive numbers that have the same question. (I don't know about negative) so 14.28x100= 1428. Don't forget to add the percent sign! 1428%

Answer:

1428

Step-by-step explanation:

14.28 x 100

Answer: [tex]11\ ft[/tex]

Step-by-step explanation:

Given

The volume of a sphere is [tex]5572.45\ ft^3[/tex]

The volume of sphere with radius r is given by

[tex]\Rightarrow \dfrac{4\pi r^3}{3}[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow 5572.45=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow r^3=\dfrac{5572.45\times 3}{4\pi }\\\\\Rightarrow r^3=1330.992\\\\\Rightarrow r=10.97\approx 11\ ft[/tex]

Therefore, the radius is [tex]11\ ft[/tex]

Each of the five lines of symmetry can be used to map the pentagon to itself in reflection.

A polygon can change without changing its shape when it undergoes a transformation. Examples include rotation, reflection, and translation. A figure's translation is a change in position that necessitates knowledge of both the direction and the distance. The picture is the final shape that emerges from a transformation.

Five lines of symmetry make up a regular pentagon. Each of the five lines of symmetry can be used to map the pentagon to itself in reflection. Rotate the point 144 degrees in order to convert (0, -2). As a result, the 144° transformation translates the standard pentagon with the coordinates (0, -2) onto itself.

Putting a point, line, or other shape on top of a line. A regular polygon needs to be reflected over a symmetry line in order to map onto itself.

Therefore, the correct answer is option c) Reflection across L.

To learn more about transformation refer to:

https://brainly.com/question/29788009

#SPJ1

Answer:

24radios

Step-by-step explanation:

Given that the dollar cost of producing x ratios is c(x)=800+40x-0.2x^2. Find

Average cost is expressed as dC(x)/dx

dC(x)/dx = 40-0.4x

C'(x) = 40 - 0.4x

If x = 40

C'(40) = 40 - 0.4(40)

C'(40) = 40 - 16

C'(40) = 24

Hence the average cost per radio of producing the first 40 radios is 24radios

Answer:

So, we can write 121 as a sum of 1+3+5+7+9+11+13+15+17+19+21

which is equal to 121.

plz mark it as brainliest...

Algebra

f(4.5)=8.5

Plug in x as 4.5 and multiply it with 3. Then subtract 5 from the remaining result.

Answer:

f(4.5) = 8.5

Step-by-step explanation:

f(4.5) = 3x - 5

f(4.5) = 3(4.5) - 5

f(4.5) = 13.5 - 5

f(4.5) = 8.5

Hope that helped! You have to substitute x with 4.5 and then solve.

Answer:

4%

Step-by-step explanation:

[tex]\frac{part}{entirety} *100[/tex]

[tex]\frac{397}{9925} *100 =4[/tex]

Answer:

C

Step-by-step explanation:

tan S = opposite / adjacent

S = tan -1 ( 120 / 52) = 66.57 degree ≅ 67

Answer:

2

Step-by-step explanation:

if BF is the mid-segment of the triangle ADG then its measure will be half of the measure of AG so 0.5*8=4 by the (mid-segment theorem)

then CE is the mid-segment of triangle BDF, so its measure is will be half of BF, so 0.5*4=2

Answer:

CE = 2

Step-by-step explanation:

The midsegment is half the length of the third side of the triangle, then

BF = [tex]\frac{1}{2}[/tex] × DG = [tex]\frac{1}{2}[/tex] × 8 = 4 , and

CE = [tex]\frac{1}{2}[/tex] × BF = [tex]\frac{1}{2}[/tex] × 4 = 2

Answer:

A coefficient is a number multiplied by a variable.

Answer:

its being multiplied by a variable when it is being multiplied by a letter

Step-by-step explanation:

a variable is a symbol, usually a letter, that represents a number

Ex.

x in 5x (5 times x)

Answer:

Step-by-step explanation:

surface area of sphere=4πr²=4π×12²=576π

≈576×3.1416

≈1809.5616 cm²

cost to cover=1809.5616×0.05=$90.47808≈$90.48

Step-by-step explanation:

C + 1 = 2(L-1)

C +1= 2L -2

C- 2L = -3 ......(eq.1)

L+1 = C-1

C- L = 2 .....(eq.2)

by elimination :

C - 2L = -3

C - L = 2

________-

- L = -5

L = 5

C = 2+5 = 7

so, Leo has 5 cars and Charlie has 7 cars

Answer:

Charlie=7, Leo=5

Step-by-step explanation:

cant explain