If the linear function is f(x) = 3x + 10, then the value of 3 could represent:

O The initial investment.
O The starting point.
O None of these choices are correct.
O The average change.
O The line of reflection.

Answer:

2πr

Step-by-step explanation:

the Circumference of great circle =

2×π×r or 2πr

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:

= sin x

1

−

cos

x

(

1

+

cos

x

1

+

cos

x

)

-multiply by the conjugate

=

sin

x

+

sin

x

cos

x

1

−

cos

2

x

-distribute

=

sin

x

sin

2

x

+

sin

x

cos

x

sin

2

x

-use property  

sin

2

x

+

cos

2

x

=

1

=

1

sin

x

+

cos

x

sin

x

-simply

=

csc

x

+

cot

x

=

Right Hand Side

Step-by-step explanation:

Number combination can be used to find the number of selecting n  items from m items

The known parameters are;

Number of days the six friends play a game of tennis = Every day = 7 days

Number of weeks the six friends the friends play for = 7 weeks

Therefore the total number of days = 7 × 7 days = 49 days

Required:

(a) The number of ways the friends can play with each other once is given as follows;

[tex]The \ number \ of \ 2 \ combinations \ in \ 6 \ options, C_6^2 = \dfrac{6!}{2!\times (6-2)!} = 15[/tex]

The number of ways the six friends can play with each other once is 15 ways

Therefore, minimum number of singles games that will be between the same friends playing each other is given as follows;

[tex]\mathbf{Number \ of \ games = \dfrac{7 \times 7}{C_6^2} }=3.2\overline 6[/tex]

Therefore, more than 3 of the games or four games will be between pairs playing the game more than four times together, and when at least four of the games of singles are counted it will be between friends playing each other for the fourth time

(b) The number of ways the friends can play game of doubles is given as follows;

[tex]C_6^4 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]

The number of pairs = ₆C₂ = 15

The number of games of doubles = 49

In 49 games, we have;

The number of times the same opposing  will play a game of doubles where a member of the pair can be on either side of the court will given as follows;

[tex]\mathbf{Number \ of \ games \ of \ doubles \ between \ same \ pair} = \dfrac{7 \times 7}{15 } =3.2\overline 6[/tex]

Therefore, at least four of the of the games of doubles will be between the same set of four friends playing for the 4th time, which gives; at least four games of doubles between the same set of four friends, two of which are playing (as a pair) the same opposing pair for the 4/2 = second time

Learn more about combination here:

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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:

5

Step-by-step explanation:

divide the distance by the rate of speed

5/1=5

Answer:

5 seconds.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

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

Step-by-step explanation:

we should add 9999 add 1

it is the answer of this qp

Answer:

[tex]3(x-1)^2 +6[/tex]

Step-by-step explanation:

Write [tex]3x^2-6x+9[/tex] in the form: [tex]x^2 + 2ax + a^2[/tex].

Factor out 3.

[tex]3(x^2 -2x+3)[/tex]

Add and subtract [tex]\left(-1\right)^2\:[/tex].

[tex]3\left(x^2-2x+3+\left(-1\right)^2-\left(-1\right)^2\right)[/tex]

You dont have to write this section down but its for notes:

[tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]

[tex]x^2-2x+\left(-1\right)^2=\left(x-1\right)^2[/tex]

Continue writing this down to show work:

Complete the square

[tex]3\left(\left(x-1\right)^2+3-\left(-1\right)^2\right)[/tex]

Simplify

[tex]3\left(x-1\right)^2+6[/tex]

Answer:

Step-by-step explanation:

h = 20 + 1.7 + 50 = 71.7 m

Answer:

i hope it helped U

stay safe stay happy

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:

$48.

Step-by-step explanation:

60% off

= 120 - 0.60*120

= 120 - 72

= $48.

[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:

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.

Answer:

___-5___is 3 units left from -2 on a number line.

___1___- is 3 units right from -2 on a number line

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:

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:

a)

There are 6 planes - 5 faces of the pyramid and one base, which overlaps with the plane X.

b)

Collinear points are the points on the same line:

c)

The intersection of planes X and HGD is the line section HG.

a:-

This is a pentagonal pyramid

B:-

C:-

HG is the intersection line

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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#SPJ1

Answer: its b

8xy5 -5y4 -2xy5 +x2y

Step-by-step explanation:

I got it right on edge

Answer:

x = 11/2

   y = -x/2+35/4

Step-by-step explanation:

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:

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:

[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]

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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Answer:

35/100 if I remembered correctly, XD

Answer:

[tex]\frac{35}{100}[/tex]

Step-by-step explanation:

if you want to convert decimal to fraction you first have to observe the decimal point

here the decimal point is after 2 numbers so

u will take 100 to be divided with

[tex]\frac{35}{100}[/tex]

Answer:

[tex]\frac{x^{\frac{1}{4} } +2}{x^{\frac{1}{4} } -2}[/tex]

rationalise the denomimator:

[tex] = \frac{ {x}^{ \frac{1}{4} } + 2 }{ {x}^{ \frac{1}{4} } - 2} . \frac{( {x}^{ \frac{1}{4} } + 2)}{ ({x}^{ \frac{1}{4} } + 2)} \\ \\ = \frac{ {x}^{ \frac{1}{2} } + 4 {x}^{ \frac{1}{4} } + 4 }{ {x}^{ \frac{1}{2} } - 4} [/tex]

Answer:

It is being multiplied by 6 each time.

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

Density is mass per unit volume,

ρ = m/v

Solving for mass gives

m = ρv

so that a gas with density 0.824 g/L that occupies 3.00 L has a mass of

m = (0.824 g/L) (3.00 L) = 2.47 g