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2 years ago

A florist normally takes 20 hours to assemble 10 flower arrangements how long do it takes to do one flower arrangement

1 answer:

5 0

20/10= 2

All you need to do is divide the number of hours it takes by the number of flower arrangments. So, it takes the florist 2 hours to assemble one flower arrangement.

I hope this helps!
~kaikers

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Find the indicated function values for the function f(x) = 3x² + 2x - 6.

Mariulka [41]

The function values for the function f(x) = 3x² + 2x - 6, for the values are:

a. f(0) = -6

b. f(2) = 10

c. f(-4) = 34

d. f(b) = 3b² + 2b - 6

e. f(4a) = 48a² + 8a - 6

<h3>How are function values calculated?</h3>

To calculate function value f(k) for a function f(x), we substitute variable x = k, in the function f(x).

<h3>How to solve the question?</h3>

In the question, we are asked to find the function value for the function f(x) = 3x² + 2x - 6 for:

a. f(0)

b. f(2)

c. f(-4)

d. f(b)

e. f(4a).

We calculate these in the following ways:-

a. f(0):

We substitute the value of x = 0 in the function f(x).

Therefore f(0) = 3(0)² + 2(0) - 6,

or, f(0) = 0 + 0 - 6 = -6.

Therefore, the function value f(0) for the function f(x) = 3x² + 2x - 6 is <u>-6</u>.

b. f(2):

We substitute the value of x = 2 in the function f(x).

Therefore f(2) = 3(2)² + 2(2) - 6,

or, f(2) = 12 + 4 - 6 = 10.

Therefore, the function value f(2) for the function f(x) = 3x² + 2x - 6 is <u>10</u>.

c. f(-4):

We substitute the value of x = -4 in the function f(x).

Therefore f(-4) = 3(-4)² + 2(-4) - 6,

or, f(-4) = 48 - 8 - 6 = 34.

Therefore, the function value f(-4) for the function f(x) = 3x² + 2x - 6 is <u>34</u>.

d. f(b):

We substitute the value of x = b in the function f(x).

Therefore f(b) = 3(b)² + 2(b) - 6,

or, f(b) = 3b² + 2b - 6.

Therefore, the function value f(b) for the function f(x) = 3x² + 2x - 6 is <u>3b² + 2b - 6</u>.

e. f(4a):

We substitute the value of x = 4a in the function f(x).

Therefore f(4a) = 3(4a)² + 2(4a) - 6,

or, f(0) = 48a² + 8a - 6.

Therefore, the function value f(0) for the function f(x) = 3x² + 2x - 6 is <u>48a² + 8a - 6</u>.

Learn more about finding function values at

brainly.com/question/27943419

#SPJ2

4 0

2 years ago

Read 2 more answers

A parallelogram has sides of 18 and 26 ft, and an angle of 39° . Find the shorter diagonal

Fed [463]

Answer:

16.51

Step-by-step explanation:

In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.

The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:

39 + 39 + x + x = 360

78 + 2x = 360

2x = 282

x = 141

This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.

Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

$c^{2} = a^{2}+ b^{2} -2ab cos(\gamma)\\\\c^{2}=18^{2}+26^{2}-2(18)(26)cos(39)\\\\ c^{2}=272.59\\\\ c=16.51$

Thus the shorter diagonal will be 16.51 feet in measure.

3 0

3 years ago

The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpac

olya-2409 [2.1K]

Answer:

number of math cpurses: discrete. weight of backpacks: continuous

Step-by-step explanation:

5 0

3 years ago

The width of a rectangle is 7 inches less than its length. The area of the rectangle is 120 square inches. Solve for the dimensi

lukranit [14]

A) w + 7 = L
B) w * L = 120
A) w = L -7 then substituting this into B)
(L-7) * L = 120
L² -7L = 120
L² -7L -120 = 0
Solving by quadratic Formula:
L1 = 15
L2 = -8

If length = 15, then width = 8

4 0

3 years ago

Read 2 more answers

Can someone help me

rosijanka [135]

Answer:

s = 11

Step-by-step explanation:

Given

$\frac{3}{8}$ = $\frac{s-2}{24}$ ( cross- multiply )