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3 years ago

F(n+1)=f(n)-3 f(1)=15

Mathematics

1 answer:

Trava [24]3 years ago

5 0

Answer:

f(n+1) = 13

Step-by-step explanation:

We know that f(1) = 15
So we can substitute this for f(n)-3
With this:

f(n+1) = f(1) -3
f(n+1) = 15-2
f(n+1) = 13

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Bryce intended to swim directly across a stream that is 99 meters wide. But the current caused him to arrive at the opposite sho

Misha Larkins [42]

Answer:

101 meters

Step-by-step explanation:

The direct path across the stream and perpendicular to both sides of the stream is one leg of a right triangle. The 20 meter distance on the arriving side of the stream is another leg of the right triangle. The path he actually took is the hypotenuse of the right triangle.

leg 1 = 99 m

leg 2 = 20 m

hypotenuse = ?

We have a right triangle, and we know the lengths of the two legs. We need to find the length of the hypotenuse, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2

99^2 + 20^2 = c^2

9801 + 400 = c^2

c^2 = 10201

c = sqrt(10201) = 101

Answer: 101 meters

6 0

3 years ago

If anyone can help me with these problems I will marry u seriously plz

belka [17]

27: C 28: B 29. A

And I kindly decline the marriage offer lol. If you need an explanation of how I did this then I will gladly do so they are pretty simple.

8 0

3 years ago

Trees are planted at intervals of 5 m along side of a 140 m straight path. The first tree is planted at the start of the path an

Luden [163]

<h3>Solution :</h3>

Distance between first tree and last tree is 140m .

And distance between each tree (d) = 5 m

let's solve for number of trees (n) :

$\hookrightarrow \: (n - 1)d = 140$

$\hookrightarrow \: (n - 1)5 = 140$

$\hookrightarrow \: n - 1 = \dfrac{140}{5}$

$\hookrightarrow \: n = 28 + 1$

$\hookrightarrow \: n = 29$

hence, total number of trees = 29.

4 0

2 years ago

Solve for m -20+14m=10m+16

Kay [80]

-20+14m=10m+16
-10m. -10m
-20+4m=16
+20. +20
4m=36
/4. /4
m=9

6 0

3 years ago

Put the following equation in standard form and determine the quadratic, linear, and constant coefficients. -3x2 - 8 = 5x - 7

marusya05 [52]

Answer:

-3x² -5x -1 = 0
-3 (quadratic)
-5 (linear)
-1 (constant)

Step-by-step explanation:

The equation will be in standard form when terms are listed in order of decreasing degree, and the right side of the equation is 0.

<h3>Standard form</h3>

We can subtract the right-side expression from both sides to get standard form.

-3x² -8 -(5x -7) = 5x -7 -(5x -7)

-3x² -8 -5x +7 = 0 . . . . . . . simplify a bit

-3x² -5x -1 = 0 . . . . . . . . . collect terms

The standard form equation can be written ...

-3x² -5x -1 = 0

<h3>Coefficients</h3>

The quadratic coefficient is the coefficient of the term with degree 2. The quadratic coefficient is -3.

The linear coefficient is the coefficient of the term with degree 1. The linear coefficient is -5.

The constant coefficient is the coefficient of the term with no variables. The constant is -1.

<em>Additional comment</em>

We can make the leading coefficient positive by multiplying the equation by -1. This gives ...

3x² +5x +1 = 0

with quadratic, linear, and constant coefficients 3, 5, 1.

This is a legitimate answer to this question. In the case of linear equations, the "standard form" has the constant on the right side of the equal sign, and the leading coefficient is required to be positive. A negative leading coefficient can sometimes lead to errors (when the sign is overlooked), so having a positive leading coefficient is often preferred.

8 0

2 years ago