Find the functional values g (-3), g (0), and g (5) for the compound function.
g (x) = 7 if x ≤ 0
1 over x if x > 0

Answer:

1320 ways

Step-by-step explanation:

an olympic event getting a gold medal is not equal to getting a silver or a bronze medal. Hence, we will use the concept of permutation for this problem as order matters here. Hence, there are 1320 ways in which 8 runners can get these 3 medals

Answer:

Richard

Step-by-step explanation:

40÷4 weeks(28 days)=10

Nestor:45÷5=9

Answer:

6 times

Step-by-step explanation:

Answer:

8 can go into 51 six(6) times

Answer:

4/5 or 16/20

Step-by-step explanation:

did my best with the info provided

Answer:

4/5

Step-by-step explanation:

8/10 = 80%  1. / the fraction by 2

4/5 = 80%

Answer:

S18 = 288

Step-by-step explanation:

find the first and last term.

n = 1

a1 = 2 x 1 - 3

a18 = 2 x 18 - 3

(simplify the expression)

a1 = -1

a18 = 33

(use the formula for the sum of a finite arithmetic series)

                     a1 + a18

S18 = 18 x ---------------------

                           2

(use the substitute) substitute -1 for a1 and 33 for a18

                       -1 + 33

S18 = 18 x ---------------------

                             2

simplify the expression and ur done hope this helped x

ps. wheres my head :)

Answer:

1/22

Step-by-step explanation:

Its 1/22 because that is the total probability of your name being drawn for the prize

Answer:

6 x 25 = 150-40=110

Step-by-step explanation:

It's right I promise you

Answer:

Unrational

Step-by-step explanation:

Step 1:  Determine what is rational and unrational

"A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number."

Step 2:  Now determine what our number fits into

Since our decimal isn't a whole number, isn't a fraction, and it is a decimal that continues to either repeat or just continues.  Therefore, our number would fit into the unrational category.  If our number is just 2.67034165508 then it would be a rational number since it ends.  However, since we have the ... at the end that means that it continues and therefore falls into the unrational category.

Answer: Unrational

The expression that is equivalent to [3/(x + 1)] ÷ 1/(x + 1)] after simplification is gotten as; 3

We want to simplify the expression;

[3/(x + 1)] ÷ 1/(x + 1)]

This fraction expression will be re-expressed as;

[3/(x + 1)] * (x + 1)/1

x + 1 will cancel out to give us the expression as;

[3/(x + 1)] * (x + 1)/1 = 3

Read more about simplification of fractions at; https://brainly.com/question/6109670

Answer:

Step-by-step explanation:

c

Answer:

144 cm^2

Step-by-step explanation:

A square has equal sides, and so if one side is 12 cm, so are the rest.

So 12 * 12 = 144.

Answer:

c

Step-by-step explanation:

Answer:

yea im a bosss yea

Step-by-step explanation:skrrt do your work dont cheat

Answer:

D. -2x - 8

Step-by-step explanation:

1) Simplify 1/3(6x+15) to 6x+15/3

-6x+15/3 - 3

2) Factor out the common term 3.

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

3) Cancel 3.

-(2x+5)-3

4) Remove parentheses.

-2x-5-3

5) Collect like terms.

-2x+(-5-3)

6) Simplify

-2x-8

Answer:

8.66

Step-by-step explanation:

because when you know the long leg you multiply 3 square root by the long leg in this case 5

My personal ranking of the insurances to have are:

This refers to the use of images, charts, graphs, etc to present information in such a way that the data used is easily identifiable.

Hence, we can see that when ranking insurance, health insurance should be higher than others (my opinion of course) because in the case of a medical emergency, treatment and care can be given.

Read more about insurance here:
https://brainly.com/question/25855858

#SPJ1

Rate of change

Option B

The value of x in the given quadratic equation is determined as -7 ± 8i.

The solutiion to the linear equation is determined as follows;

x² + 14x + 17 = -96

x² + 14x + 17 + 96 = 0

x² + 14x + 113 = 0

solve the equation using formula method;

a = 1, b = 14, c = 113

[tex]x = \frac{-b \ \ \pm\sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{- 14\ \ \pm\sqrt{(14)^2 - 4(1\times 113)} }{2(1)} \\\\x = \frac{- 14\ \ \pm\sqrt{-256} }{2}\\\\x = \frac{- 14\ \ \pm\sqrt{256} \times \sqrt{-1} }{2}\\\\x = \frac{-14 \ \ \pm 16 \times i}{2} \\\\x = -7 \pm 8i[/tex]

Thus, the value of x in the given quadratic equation is determined as -7 ± 8i.

Learn more about quadratic equation here: https://brainly.com/question/1214333

Answer:

-7 ± 8i.

Step-by-step explanation:

I took the test

Answer:

The correct answer would be option A; Subtraction Property of Equality

Step-by-step explanation:

This is because you are subtracting 3 on both sides of the equation to go from;

x + 3 = 17

to

x = 14

Hope this helps!

Answer:

[tex]\sf C) \quad 57 \frac34 \:cm^2[/tex]

Step-by-step explanation:

To find the shaded area, subtract the area of the semicircle from the area of the rectangle.

Formulae

[tex]\textsf{Area of a rectangle}=\textsf{width} \times \textsf{length}[/tex]

[tex]\textsf{Area of a semicircle}=\dfrac12 \pi r^2 \quad \textsf{(where r is the radius)}[/tex]

[tex]\textsf{Diameter of a circle}=2r \quad \textsf{(where r is the radius)}[/tex]

Area of rectangle

Given dimensions of the rectangle:

Substituting these values into the formula:

[tex]\implies \textsf{Area}=\textsf{7} \times \textsf{11}=77\: \sf cm^2[/tex]

Area of semicircle

Diameter of semicircle = 11 - 2 - 2 = 7 cm

⇒ Radius (r) = 7 ÷ 2 = 3.5 cm

[tex]\textsf{let}\: \pi=\dfrac{22}{7}[/tex]

[tex]\implies \textsf{Area}=\dfrac12 \left(\dfrac{22}{7}\right) (3.5)^2=19.25\: \sf cm^2[/tex]

Area of shaded region

= area of rectangle - area of semicircle

= 77 - 19.25

= 57.75

[tex]\sf =57 \frac34 \:cm^2[/tex]

Answer:

30

Step-by-step explanation:

Let x be his speed at the morning, in miles per hour.

Then his speed after lunch was (x+10) mph.

2x + 3(x+10) = 220.

2x + 3x + 50 = 220

Answer:

[tex]x=\frac{e^7-3}{7}[/tex]

Step-by-step explanation:

4* ln(7x+3) + 12 = 40

4* ln(7x+3) + 12 - 12 = 40 - 12

4* ln(7x+3) = 28

ln(7x+3) = 28/4

ln(7x+3) = 7

e^7 = (7x + 3)

e^7 - 3 = 7x

[tex]x=\frac{e^7-3}{7}[/tex]

Answer:

(C) 6+4+10/15+3/15

Step-by-step explanation:

2/3=10/15

1/5=3/15

6+4+13/15

10 13/15

Answer:

8 home games and 10 away games

Step-by-step explanation:

Total home goals

= 8 +5 +9 +8 = 30

Number of home games

= 30/3.75 = 8

Total away game goals

= 7 + 8 + 4 + 5 = 24

Number of away games

= 24/2.4 = 10

Easy Peasy :) Hope this helped! <3 brainliest please :)

Answer:

10 away games and 8 home games

Step-by-step explanation:

Answer:

6.4

Step-by-step explanation:

All ways:

Exact form:

32/5

Decimal Form:

6.4

Mixed Number Form:

6 2/5.

CANNOT BE SIMPLIFIED IN ANY WAY

Answer:

1a. x=3 y=3

1b. x=-7 y=-21

1c. x=¼

2a. a(a-2)-b(2+b)

2b. a²(a²-3)+1

Step-by-step explanation:

a .

x + y = 6

+

2x - y = 3

3x = 9

3x/3 = 9/3

x = 3

x + y = 6

y = 6 -x

y = 6 - 3

y = 3

b.

2x - y = 7

+

y = 3x

2x = 3x + 7

2x - 3x = 7

x = -7

y = 3x

y = 3(-7)

y = -21

c.

[tex] {x}^{2} + \frac{1}{16} = \frac{x}{2} [/tex]

[tex] {x}^{2} + \frac{1}{16} - \frac{x}{2} = 0[/tex]

[tex]16( {x}^{2} - \frac{x}{2} + \frac{1}{16} ) = 0[/tex]

[tex]16 {x}^{2} - 8x + 1 = 0[/tex]

[tex](4x - 1)(4x - 1) = 0[/tex]

[tex]x = \frac{1}{4} [/tex]

2.

a.

[tex] {a}^{2} - 2a - 2b - {b}^{2} [/tex]

[tex]a(a - 2) - b(b + 2)[/tex]

Answer:

2nd option

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

the centre is at the midpoint of the endpoints of the diameter.

The coordinates of the centre is the average of the coordinates of the endpoints.

centre = ( [tex]\frac{-4+2}{2}[/tex], [tex]\frac{7-1}{2}[/tex] ) = ([tex]\frac{-2}{2}[/tex] , [tex]\frac{6}{2}[/tex] ) = (- 1, 3 )

the radius is the distance from the centre to either of the endpoints

using the distance formula to calculate r

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2[/tex]

with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (2, - 1 )

r = [tex]\sqrt{(2-(-1))^2+(-1-3)^2}[/tex]

  = [tex]\sqrt{(2+1)^2+(-4)^2}[/tex]

  = [tex]\sqrt{3^2+16}[/tex]

  = [tex]\sqrt{9+16}[/tex]

  = [tex]\sqrt{25}[/tex]

   = 5

then equation of circle is

(x - (- 1) )² + (y - 3)² = 5² , that is

(x + 1)² + (y - 3)² = 25