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2 years ago

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Mathematics

2 answers:

blondinia [14]2 years ago

7 0

Answer: I think it's the first answer (A)

Step-by-step explanation: when I add the two short sides I get exactly 12cm

Damm [24]2 years ago

3 0

A. because the two smallest sides must at least be the sum of the longest side

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F(x) = 3x + 6 please help quickly!!!!!!!

Georgia [21]

Given the function, f(x) = 3x + 6, we can solve for f(a), f(a + h) and $\frac{(f(a + h) - f(a)) }{h}$ by substituting their values into f(x) = 3x + 6. We will have the following:

$\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}$

Given:

f(x) = 3x + 6

We are told to find:

f(a)
f(a + h), and
$\frac{(f(a + h) - f(a)) }{h}$

1. Find f(a):

Substitute x = a into f(x) = 3x + 6

f(a) = 3(a) + 6

f(a) = 3a + 6

2. Find f(a + h):

Substitute x = a + h into f(x) = 3x + 6

f(a + h) = 3(a + h) + 6

f(a + h) = 3a + 3h + 6

3. Find $\frac{(f(a + h) - f(a)) }{h}$ :

Plug in the values of f(a + h) and f(a) into $\frac{(f(a + h) - f(a)) }{h}$

Thus:

$\frac{((3a + 3h + 6) - (3a + 6)) }{h}\\\\\frac{(3a + 3h + 6 - 3a - 6) }{h}\\\\$

Add like terms

$\frac{(3a - 3a + 3h + 6 - 6) }{h}\\\\= \frac{3h }{h}\\\\\mathbf{= 3}$

Therefore, given the function, f(x) = 3x + 6, we can solve for f(a), f(a + h) and $\frac{(f(a + h) - f(a)) }{h}$ by substituting their values into f(x) = 3x + 6. We will have the following:

$\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}$

Learn more here:

brainly.com/question/8161429

6 0

3 years ago

Simplify. 5 - 2(x - 3)

V125BC [204]

To solve this, we simply need to remember our rules about order of operations. They tell us that first, we should distribute the 2 with the rest of the parentheses.

5-2(x-3)
5-2x+6

Next, we should combine our like-terms.

5-2x+6
11-2x

Seeing as we do not know the value of the variable, the simplest form of the expression is 11-2x.

3 0

3 years ago

he numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance

Naddik [55]

Answer:

Range = 13

Mean = 8.4

Variance= 21.24

Standard deviation= 4.61

Step-by-step explanation:

2, 10, 15, 3, 13, 9, 14, 7, 2, 9

For the range

Let the set of data be arranged inn ascending order

Range= higehest value- lowest value

Range = 15-2

Range= 13

For the mean

Mean = (2+2+3+7+9+9+10+13+14+15)/10

Mean = 84/10

Mean = 8.4

For variance

Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10

Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10

Variance= 212.4/10

Variance= 21.24

Standard deviation= √variance

Standard deviation= √21.24

Standard deviation= 4.609

Approximately = 4.61

6 0

3 years ago

Mario and Luigi are in a race in their new cars. Luigi has a 1000 foot head start and he travels at a speed of 4000

frez [133]

Answer: why do they have so many cars what are you trying to ask and what does Mario have to do with this?

Step-by-step explanation:

please change your question.

8 0

2 years ago

Lydia is a project manager and submitted proposals for two different projects, Project X and Project Y to her boss. The probabil

mixer [17]

Answer:

b. False

Step-by-step explanation:

P(X & Y) = 0.77 + 0.65 - 0.9 = 0.52

P(X) × P(Y) = 0.65×0.77 = 0.5004

Since P(X&Y) and P(X)×P(Y) are not equal, they are not independent

5 0

3 years ago