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Rom4ik [11]
3 years ago
7

Expand and simplify 2(x+7)+3(x+1)

Mathematics
1 answer:
kirza4 [7]3 years ago
6 0
2(x+7)+3(x+1)
= 2x+14+3x+3
= 5x+17
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ANSWER THIS MATH QUESTION
shusha [124]

Answer:

<h2>The slope of the line tangent to the function at x = 1 is 2.01 ≅2.</h2>

Step-by-step explanation:

Using the formula of derivative, it can be easily shown that, \frac{d f(x)}{dx} = 2 where f(x) = x^{2}.

Here we need to show that as per the instructions in the given table.

Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) = (1 + 0.01)^{2} - 1^{2} = 0.0201.

In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.

Hence, dividing Δy by Δx, we get, \frac{0.0201}{0.01} = 2.01.

Let's examine this taking a smaller value.

If we take Δx = 0.001, then Δy = 1.001^{2} - 1^{2} =  0.002001.

Thus, \frac{0.002001}{0.001} = 2.001.

The more smaller value of Δx is taken, the slope of the tangent will be approach towards the value of 2.

5 0
3 years ago
Find the value of x<br> Use sin, cos, or tan
Serhud [2]
<h3>Answer:   16.5</h3>

=========================================================

Explanation:

We use cosine to tie together the adjacent and hypotenuse

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411

x = 16.5

3 0
3 years ago
A person standing 154 feet from the base of a church observed the angle of elevation to the church's steeple to be 25∘. How tall
Nookie1986 [14]

Answer:

71.764  feet

Step-by-step explanation:

See attached the rough sketch for your reference

Step one;

Given data

The angle of elevation= 25°

From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent

Step two:

Applying SOH CAH TOA

tan∅= opp/adj

tan 25= opp/154

0.466= opp/154

cross multiply

0.466*154= opp

opp= height of church = 71.764  feet

4 0
3 years ago
Find the next two terms in the given sequence, then write it in recursive form. A.) {7,12,17,22,27,...} B.) { 3,7,15,31,63,...}​
iren [92.7K]

Answer:

A) a_n = 5n + 2

B) a_n = (2^(n + 1)) - 1

Step-by-step explanation:

A) The sequence is given as;

{7,12,17,22,27,...}

The differences are:

5,5,5,5.

This is an arithmetic sequence following the formula;

a_n = a_1 + (n - 1)d

d is 5

Thus;

a_n = a_1 + (n - 1)5

Now, a_1 = 7. Thus;

a_n = 7 + 5n - 5

a_n = 5n + 2

B) The sequence is given as;

{ 3,7,15,31,63,...}​

Now, let's write out the differences of this sequence:

Differences are:

4, 8, 16, 32

This shows that it is a geometric sequence with a common ratio of 2.

In the given sequence, a_1 = 3 and a_2 = 7 and a_3 = 15

Thus, a_2 = 2a_1 + 1

Also, a_(2 + 1) = 2a_2 + 1

Combining both equations, we can deduce that: a_(n + 1) = 2a_n + 1

Thus; a_n can be expressed as:

a_n = (2^(n + 1)) - 1

7 0
3 years ago
Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?
VARVARA [1.3K]
27/3 = 9 cm3
the pyramid is 1/3 the volume of the cube because it fits exactly inside it
3 0
3 years ago
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