Given the function f(x) = f(x - 1) + f(x - 3) for x > 1. Given that f(0) = f(1) = f(3) = 1. Find the value of f(4). Please include an explanation. Thanks! =)

Answer:

h(0) = - 2

Step-by-step explanation:

Substitute x = 0 into h(x) and evaluate , that is

h(0) = 2(0)² - 2 = 2(0) - 2 = 0 - 2 = - 2

Answer:

x = 11/2

   y = -x/2+35/4

Step-by-step explanation:

Answer:

A number of tourists were interviewed on their choice of means of travel. Two- thirds said that they travelled by road, 1330 by air and 415 by both air and road. If 20 tourists did not travel by either air or road ; (i) represent the information on a Venn diagram ; (ii) how many tourists (1) were interviewed ; (2) travelled by air only?

Answer:

5

Step-by-step explanation:

divide the distance by the rate of speed

5/1=5

Answer:

5 seconds.

Step-by-step explanation:

Step-by-step explanation:

y=x+6.......(1)

y=-3X-6....(2)

from eq (1), we get,

x=y-6....(3)

sub eq (3) in eq (2), we get

y= -3(y-6)-6

y= -3y+18-6

y+3y-12=0

4y=12

y=3

sub value of y in eq (3)

x=3-6

x=-3

Answer: (3, 3)

Step-by-step explanation:

There are three general ways of solving a system of equations:

When solving systems of equations with graphing, look for points that overlap with each other or cross, and that will be the solution for the system. There might be one, two, or more than two solutions.

Please refer to the attachment below for the graph of the two equations.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

$48.

Step-by-step explanation:

60% off

= 120 - 0.60*120

= 120 - 72

= $48.

Answer:

1/36

Step-by-step explanation:

prob of each dice is 1/6

=1/6 * 1/6

The polynomial in standard form is as follows;

8x⁵  - 5y⁴ - 2xy⁵ + x²y

A polynomial can have constants, variables and exponents, but never division by a variable. example of a polynomial is as follows:

4xy² + 2y + 5

Polynomial can be named base on the number of terms. For example monomial, binomial and trinomial.

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.

Therefore, the polynomial in standard form is as follows;

8x⁵  - 5y⁴ - 2xy⁵ + x²y

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Answer: its b

8xy5 -5y4 -2xy5 +x2y

Step-by-step explanation:

I got it right on edge

Answer:

x = 18°

Step-by-step explanation:

∠AOB and ∠BOD form linear pair of angles, so they are supplementary, i.e., their sum is 180°.

130° + (2x + 14)° = 180°

=> 130° + 2x° + 14° = 180°

=> 2x° = 180° - 130° - 14°

=> 2x° = 36°

=> x = 36°/2°

=> x = 18°

Answer:

2/5

Step-by-step explanation:

=(2*7)^6 * (3*5)^5/ (7*5)^6 * (2*3)^5

=(2^6 * 7^6) * ( 3^5 * 5^5) / (7^6 * 5^6) * ( 2^5* 3^5)

=2^5 * 2^1 * 5^5/ 5^5 * 5^1 *2^5

=2/5

The simplified expression of (14^6*15^5)/(35^6*6^5)​ is 2/5

The expression is given as:

(14^6*15^5)/(35^6*6^5)​

Express 14 as 2 * 7, 15 as 3 * 5 and 35 as 5 * 7

[tex]\frac{(2 * 7)^6 * (3 * 5)^5}{(5 * 7)^6 * (2 * 3)^5}[/tex]

Expand the expression

[tex]\frac{2^6 * 7^6 * 3^5 * 5^5}{5^6 * 7^6 * 2^5 * 3^5}[/tex]

Divide the common factors

[tex]\frac{2}{5 }[/tex]

Rewrite as:

2/5

Hence, the simplified expression of (14^6*15^5)/(35^6*6^5)​ is 2/5

Read more about expressions at:

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Answer:

12 cm squared

Step-by-step explanation:

1. Since diameter is twice the radius and what we know is the area, you would divide the area, 113.1 cm, by Pi (3.14):

113.1 cm / 3.14 = 36.00084813

2. What you get is the radius which you have to square:

36.00084813 squared = 6.000070677

3. Now you double the radius in order to get the diameter:

6.000070677 x 2 = 12.00014135

12.0 cm squared

Answer:

7

Step-by-step explanation:

bc 11×5=55 so you divide it and its 11-4=7 :)

Answer:

i hope it helped U

stay safe stay happy

Answer:

all real numbers

Step-by-step explanation:

The equation of x has No solution.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

−3x − 3 = −3(x + 1)

Expanding the brackets we get,

−3x − 3 = −3x − 3

Collecting like terms together we get,

−3x +  3x = −3 + 3

Solving we get,

0 = 0

So, this equation has no solution.

Thus, the equation of x has No solution.

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[tex]\\ \sf\longmapsto \dfrac{3p}{5}+\dfrac{8}{5}=1[/tex]

[tex]\\ \sf\longmapsto \dfrac{3p+8}{5}=1[/tex]

[tex]\\ \sf\longmapsto 3p+8=5[/tex]

[tex]\\ \sf\longmapsto 3p=5-8[/tex]

[tex]\\ \sf\longmapsto 3p=-3[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{-3}{3}[/tex]

[tex]\\ \sf\longmapsto p=-1[/tex]

Answer:

26

Step-by-step explanation:

p²+m

=> 5²+1

=> 25 + 1

=> 26

Answer:

26

Step-by-step explanation:

Substitute the given values into the expression

p² + m

= 5² + 1

= 25 + 1

= 26

Answer:

Step-by-step explanation:

h = 20 + 1.7 + 50 = 71.7 m

Answer:

[tex]\displaystyle f(b+2) = 2b^2 + 11b +6[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = 2x^2 + 3x - 8[/tex]

And we want to find:

[tex]\displaystyle f(b + 2)[/tex]

Substitute:

[tex]\displaystyle f(b+2) = 2(b+2)^2 + 3(b+2) - 8[/tex]

Expand and simplify:

[tex]\displaystyle \begin{aligned}f(b+2)&= 2(b^2+4b+4)+(3b+6)-8 \\ &= (2b^2+8b+8)+(3b+6)-8 \\ &= (2b^2) + (8b+3b)+ (8+6-8) \\ &= 2b^2 + 11b + 6 \end{aligned}[/tex]

In conclusion:

[tex]\displaystyle f(b+2) = 2b^2 + 11b +6[/tex]

Answer:

x>0

Answer to your question:

Because the subtraction sign is after the negative, it applies to the term in front of it, in this case because there is a parenthesis, it would multiply into that and your equation from there would be 1-4-3x<-3. Then combine like terms from there.

Answer:

= sin x

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-use property  

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Right Hand Side

Step-by-step explanation:

Answer:

first angle is 20, 2nd is 120, 3rd is 40.

Step-by-step explanation:

with these words, "20 less than a number, Three

times the number, is the number." We can set up the equation x-20+3x+x = 180. combine like terms and we get 5x-20=180. add 20 to both sides to get 5x=200 then divide 200 by 5x to get x = 40. We can then plug 40 into each of the expressions, x-20, 3x, x, to get our angles.

The coordinate of E will be (1, -3) if the coordinates of E if E divides CH three -fourths of the way from C to H

Midpoint of a line is a point that divides a line into two equal parts.

If the line is divided in the ratio a:b, then the midpoint formula will be expressed as:

[tex]M(X,Y) =(\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})\\[/tex]

Given the coordinate points, C(2, 1) and H(-2, 15) divided in the ratio of 3:4

[tex]X = \frac{3(2)+1(-2)}{3+1}\\X= \frac{6-2}{4}\\X=\frac{4}{4}\\X = 1[/tex]

Get the coordinates Y:

[tex]Y = \frac{3(1)+1(-15)}{3+1}\\Y= \frac{3-15}{7}\\Y=\frac{-12}{4}\\Y= -3[/tex]

This shows that the coordinate of E will be (1, -3)

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Part (a)

-------------------

Explanation:

Point P is part of 3 planes or faces of this triangular prism:

Notice how each three letter sequence involves "P", though this isn't technically always necessary. I did so to emphasize how point P is involved with these planes.

Each of the three planes mentioned do not involve line FG

So there are no planes that contain line FG and point P.

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

Part (b)

-------------------

Explanation:

It's the same idea as part (a) earlier. The planes involving point G are

None of these planes have line EP going through them.

As an alternative, we could reverse things and focus on all of the planes connected to line EP. Those 2 planes are

None of these planes have point G located in them.

Answer:

10

Step-by-step explanation:

46 - [(9 + 15 ÷ 5) × 3]

~We can simplify everythingusing PEMDAS

46 - [(9 + 3) × 3]

46 - [(12) × 3]

46 - 36

10

Best of Luck!

Answer:

46−[(9+15÷5)×3] = 10

Step-by-step explanation:

46-[(9+3)×3]

46-[12×3]

46-36

10

Answer:

It is being multiplied by 6 each time.

Step-by-step explanation:4x6, 24x6

Answer:

Step-by-step explanation:

[tex]\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\[/tex]

[tex]= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}[/tex]

Answer:

-7

Step-by-step explanation:

Equation: 2x - 4 = -18

First, add 4 to both sides:

2x = -14

Finally, divide both sides by 2:

x = -7

Check (optional):

2(-7) - 4 = -18

-14 - 4 = -18

-18 = -18 so this is correct

If you're confused about any of these steps, just let me know and I'll try to clear it up for you! :)

Answer:

x = 6, extraneous

Step-by-step explanation:

When you are substituting x = 6 back into the equation, it makes the denominator = 0, so this is an extraneous solution.