Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval
4
≤
x
≤
7
4≤x≤7.

Answer: 3.9047 rounded to the nearest thousandth is 3.9050, or 3.905.

Step-by-step explanation:

You round 47 up to 50, which gets you to 3.9050, which you can then reduce it to 3.905.

look it up hare

sorry if it's not what your looking for

Answer: $240

Step-by-step explanation:

Given

Ahmad earns 6 days daily from 9 am to 5 Pm at a rate of $30 per hour

The total no of hours he worked on a single day is 8 hours

So, the amount he earns on daily basis is

[tex]\Rightarrow 8\times 30\\\Rightarrow \$240[/tex]

Answer:

The cofunction of [tex]\tan \frac{2\pi}{11}[/tex] is [tex]\cot \frac{7\pi}{22}[/tex].

Step-by-step explanation:

In trigonometry, a function is a cofunction of another if and only if [tex]f(A) = g(B)[/tex], where A and B are complementary angles. In this case, the complementary function of a tangent function must be a cotangent function, this is:

[tex]\tan \frac{2\pi}{11} = \cot \left(\frac{\pi}{2} - \frac{2\pi}{11} \right)[/tex]

[tex]\tan \frac{2\pi}{11} = \cot \frac{7\pi}{22}[/tex]

[tex]\tan \frac{2\pi}{11} = \frac{1}{\tan \frac{7\pi}{22} }[/tex]

[tex]0.642 = \frac{1}{1.556}[/tex]

[tex]0.642 = 0.642[/tex]

Answer:

-3

Step-by-step explanation:

The number 4 is the plotted point on the y-axis, meaning the next point would be located down 3 and right 1 (-3 over 1) and so on. The rise over run is the m in y=mx+b.

Answer and Step-by-step explanation:

THE QUESTION IS NOT FROM A QUIZ, IT IS FROM A HOMEWORK ASSIGNMENT.

The unit rate is D. $4.00 per pound.

This is because we see on the graph that at 1 pound of fudge, the cost is 4 dollars.

When looking at the unit rate, you want to look at y value for when x is 1.

#teamtrees #PAW (Plant And Water)

Answer:

[tex](a)\ h = d * \tan(\theta)[/tex]

[tex](b)\ h = 30.57m[/tex]

Step-by-step explanation:

Given

[tex]\theta = 17^o[/tex]

[tex]d =100m[/tex]

[tex]h = ??[/tex]

See attachment for illustration

Solving (a): Trigonometry ratio to calculate h.

From the attachment, we have:

[tex]\tan(\theta) = \frac{h}{d}[/tex]

Multiply both sides by d

[tex]d * \tan(\theta) = \frac{h}{d} * d[/tex]

[tex]d * \tan(\theta) = h[/tex]

Rewrite as:

[tex]h = d * \tan(\theta)[/tex]

Solving (b): The value of h

We have:

[tex]\theta = 17^o[/tex]

[tex]d =100m[/tex]

So:

[tex]h = 100m * \tan(17^o)[/tex]

[tex]h = 100m * 0.3057[/tex]

[tex]h = 30.57m[/tex]

Answer:

t  =  2.25 h

Step-by-step explanation:

In the case, I cover distance d in 3 hours

d =  3 * v₁      (1)

In the second case my speed increase by 1/3 then my speed is  

v₁ + (1/3) v₁   =  (3/3  + 1/3  ) *v₁

my new speed is   (4/3) * v₁  and

d  =  (4/3)*v₁ * t    (2)

Dividing (2) by  (1)  we get

1   = (4/3) *v₁*t/ 3*v₁

1  =  (4/9)*t

t = 9/4  h

t  =  2.25 h

Answer:

-3,6

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

=2.5(6*4)/6

=2.5*4(6 and 6 gets cancel)

=10

Answer:

Each friend pays $14 on lunch

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle 1=130 degree(being alternate angles)

angle 2=50 degree

angle 2 +130=180 degree(being co interior angle)

angle 2=180-130

angle 2=50 degree

Answer:

m<1 = 50

m<2 = 130

Step-by-step explanation:

From the picture, you can inference that m<1 looks like 130 degrees, and m<2 does not. You can tell because m<1 looks like a wide-angle, while m<2 looks like a closed-angle. So, m<1 is 130 degrees.

To find m<2 subtract 180 by 130 because 180 is the measure of a straight angle.

180 - 130 = 50

So m<1 = 50

Answer:

21.42 cloves of garlic

Step-by-step explanation:

50 ÷ 7 = 7.14

7.14 x 3 = 21.42

Answer:

x=-15.2

Step-by-step explanation:

Answer:

-5 ; 1/2

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL CONCEPTS TO BE USED IN THIS QUESTION :-

Lets say there's a quadratic polynomial f(x) = ax² + bx + c , whose factors are (x - α) & (x - β). To find the values of x for which f(x) will be zero , equate the factors of f(x) with 0.

⇒ (x - α) = 0 & (x - β) = 0

⇒ x = α & x = β

Hence, it can be concluded that if (x - α) & (x - β) are factors of f(x) , then α & β are the roots of f(x).

SOLUTION :-

Factorise f(x) = 2x² + 9x - 5.

[tex]=> 2x^2 + 10x - x - 5[/tex]

[tex]=> 2x(x + 5) - 1(x + 5)[/tex]

[tex]=> (x + 5)(2x - 1)[/tex]

So , the factors of f(x) are (x + 5) & (2x - 1). Now equate the factors with zero.

⇒ (x + 5) = 0 & (2x - 1) = 0

⇒ x = -5 & x = 1/2

∴ The zeroes of f(x) = 2x² + 9x - 5 are (-5) & (1/2)

VERIFICATION :-

1) Put x = -5 in f(x) = 2x² + 9x - 5

⇒ f(-5) = 2(-5)² + 9×(-5) - 5

           = 50 - 45 - 5

           = 50 - 50  

           = 0

2) Put x = 1/2 in f(x) = 2x² + 9x - 5

[tex]f(\frac{1}{2} ) = 2 \times (\frac{1}{2} )^2 + 9 \times \frac{1}{2} - 5[/tex]

       [tex]= 2 \times \frac{1}{4} + \frac{9}{2} - 5[/tex]

       [tex]= \frac{1}{2} + \frac{9}{2} - 5[/tex]

       [tex]= \frac{ 1 + 9 - 10}{2}[/tex]

       [tex]= \frac{0}{2}[/tex]

       [tex]= 0[/tex]

Answer:

-15+3x=-7+5x

-15+7=5x-3x

-8=2x

-8/2=x

-4=x

6x=6*-4

=-24

Step-by-step explanation:

Answer:

[tex] - 15 + 3x = - 7 + 5x \\ 3x - 5x = - 7 + 15 \\ - 2x = + 8 \\ - x = 4 \\ x = - 4 \\ therefore = \\ 6x = 6 \times ( - 4) \\ 6x = - 24 \\ i \: hope \: this \: was \: helpful[/tex]

Answer:

6 (24÷3) -2

6 (8) -2

48-2

=46

Brackets of division multiplication add and subtract

Answer:

2.44%

Step-by-step explanation:

[tex]\frac{22}{900} *100%[/tex]= 2.44%

Answer:

C when multiplying negative numbers if you multiply a negative by a negative you get a positive.

Answer:

x  =  500 yd

y  =  250 yd

A(max) = 125000 yd²

Step-by-step explanation:

Let´s call x the side parallel to the stream ( only one side to be fenced )

y the other side of the rectangular area

Then the perimeter of the  rectangle  is  p  =  2*x  + 2* y  ( but only 1 x will be fenced)

p  =  x  +  2*y

1000  =  x   +  2 * y         ⇒    y  =  (1000 - x )/ 2

And   A(r)  =  x * y

Are as fuction of x

A(x)  =  x  *  (  1000  -  x ) / 2

A(x)  =   1000*x / 2 -  x² / 2

A´(x)  =  500  -  2*x/2

A´(x)  =  0              500   -  x   =  0

x  =  500 yd

To find out if this value will bring function A to a maximum value we get the second derivative

C´´(x)  =  -1         C´´(x) < 0  then efectevly we got a maximum at  x  = 500

The side  y  = ( 1000  -  x ) / 2

y  =  500/ 2

y  =  250 yd

A(max)  =  250 * 500

A(max) = 125000 yd²

Answer:

Step-by-step explanation:

y=7(3)^-4

y=7*1/3^4

y=7/81

Answer:

10.7

Step-by-step explanation:

use

a^2+b^2=c^2

...........

Answer:

x ≈ 10.72

Step-by-step explanation:

Use the Pythagorean Theorem, or

a² + b² = c²

to find x.

a² + b² = c²

9² + x² = 14²

81 + x² = 196

Subtract 81 from both sides.

x² = 115

Take the square root.

x = √115

When rounded to the nearest hundredth as a decimal, the answer is

x = 10.72.

Answer:

They are similar because if you do the expression shown for the first expression it will equal the same thing since 6 x 4d = 24d and 6 x p = 6p

24d + 6p which is equivalent to 24d + 6p

You use the distributive property.

You have 6(4d + p) and 24d + 6p

the 6 is being multiplied into each number in the (), so it is basically

6 x 4d + 6 x p

that gives you 24d + 6p, which is why they are equal

Answer:

Correct

Step-by-step explanation:

4 + 3 = 7

1 + 6 = 7

Therefore the statement is true :)

Answer:

4+3=1+6 is correct

Step-by-step explanation:

4+3=7

1+6=7

Very complicated math lol

Answer:

By the Pythagorean theorem, it follows that the hypotenuse of this triangle has length c = √a2 + b2, the same as the hypotenuse of the first triangle. Since both triangles' sides are the same lengths a, b and c, the triangles are congruent and must have the same angles. ... If a2 + b2 = c2, then the triangle is right.

Step-by-step explanation:

Answer:

Area of the composite figure = 42 in²

Step-by-step explanation:

Composite area of the given figure = Area of the rectangle + Area of the right triangle

Area of the rectangle = Length × Width

                                    = 6 × 5

                                    = 30 in²

Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                         = [tex]\frac{1}{2}(4)(6)[/tex]

                                         = 12 in²

Area of the composite figure = 30 + 12

                                                  = 42 in²