What is the equation for the line that has a slope of -2 and a y-intercept of (0,9)?

Answer: f(6) = (6)2 + 1 = 36 + 1 = 37

If we wanted to find and expression for f(g(x)) we could plug in g(x), which is "x - 4" into the function f(x) wherever we see an "x". So:

f(x) = x2 + 1

f(g(x)) = (x - 4)2 + 1 because g(x) is "x - 4"

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

x = 8/3 or 2 2/3

Step-by-step explanation:

x - 5/3 = 1

x - 5/3 + 5/3 = x

1 + 5/3 = 8/3 or 2 2/3

x = 8/3 or 2 2/3

Answer:

x = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

x - [tex]\frac{5}{3}[/tex] = 1 ( multiply through by 3 to clear the fraction )

3x - 5 = 3 ( add 5 to both sides )

3x = 8 ( divide both sides by 3 )

x = [tex]\frac{8}{3}[/tex]

10 : (3 + 2) * 4 + 5² + 6 - 9 =

= 10 : 5 * 4 + 25 + 6 - 9 =

= 2 * 4 + 31 - 9 = 8 + 31 - 9 =

= 39 - 9 = 30

6 * 4 : 12 + 72 : 8 - 9 =

= 24 : 12 + 9 - 9 = 2

9514 1404 393

Answer:

  x = 36

  78°, 36°, 66°  (CW from lower left)

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we can write the equation ...

  (2x +6)° +x° +(2x -6)° = 180°

  5x = 180 . . . . simplify

  x = 36 . . . . . . divide by 5

Then the angle measures are ...

  (2x +6)° = (2·36 +6)° = 78°

  x° = 36°

  (2x -6)° = (2·36 -6)° = 66°

Answer:

Top angle - 36

Left angle - 78

Right angle - 66

Step-by-step explanation:

First to find the angles you need to find x. Do this by adding all the angle measurements and setting them equal to 180 because all triangles equal 180.

Then, combine like terms

Finally, divide both sides by 5

Now that you know x you can plug it in to find the rest of the angles. The top angle is simply 36. The left angle is 2(36) + 6, which equals 78. The right angle is 2(36) - 6, which equals 66.

Answer:

B

Step-by-step explanation:

Using the equation to find the slope, (-6 - -6) / (5 - 3) equals zero. This means that the line has no slope and must be flat.

Answer:

45

Step-by-step explanation:

20+25

The total cost for 125 students is $905.5.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Grill rental fee = $150

Charge per person for less than 100 students = $5

Charge per person for 100 students or more = $4.25

Total number of students = 125

The total cost for 125 students is

⇒ [tex][150+5(99)]+[150+4.25(26)][/tex]

⇒ [tex][150+495]+[150+110.5][/tex]

⇒ [tex][645]+[260.5][/tex]

⇒ [tex]905.5[/tex]

Hence we can conclude that the total cost for 125 students is $905.5.

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[tex]\sqrt{2}[/tex]Answer:

Step-by-step explanation:

now the equations looks like

5-4*Cos(x) = y

when 45° gets plugged into Cos(x) we get [tex]\sqrt{2}[/tex]/2 again

5- 4 * ([tex]\sqrt{2}[/tex]/2) = y

5-2[tex]\sqrt{2}[/tex]=y

leave it in that form . it's exact that way

Answer:

The answer is "24 elements"

Step-by-step explanation:

Please find the complete question in the attached file.

Given that:

[tex]\to Enrique=E\\\\ \to Katie=K \\\\\to Rihanna=R \\\\\to Bruno=B\\\\[/tex]

The element in space are:

[tex]EKRB , ERKB , ERBK , EKBR , EBKR , EBRK , KERB , KEBR , KREB , KRBE ,\\\\ KBRE , KBER , RKEB , RKBE , RBKE , RBEK , REBK , REKB , BEKR , BERK ,\\\\ BREK ,BRKE , BKRE , BKER[/tex]

If the height is 4 feet and a base radius is 1 foot of the cylinder. Then the surface area of the cylinder will be 25.13 square feet,

Let r be the radius and h be the height of the cylinder.

Then the surface area of the cylinder will be

SA = 2πrh square units

The height is 4 feet and a base radius is 1 foot of the cylinder.

Then the surface area of the cylinder will be

SA = 2 × π × 1 × 4

SA = 8 × π

SA = 25.13 square feet

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Answer:

B I believe that's the answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

12 is 40% of the total number of cards.

12 = 0.4x, where x is total number of cards

/0.4 /0.4

30 = x

30 cards

Answer:

SA = 348 cm squared

Answer:

$348

Step-by-step explanation:

original value times 1+ percent increase

290 * (1+.20)

290 * 1.20 = 348

Jason sold his radio for $348

Answer: x = 3, 19

Step-by-step explanation:

Given

Two points i.e.  [tex](11,2)\ \text{and}\ (x,-4)[/tex] are given

Distance between them is 10 units

Distance is given by the distance formula

[tex]\Rightarrow d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between two points is

[tex]\Rightarrow 10=\sqrt{(x-11)^2+(-4-2)^2}[/tex]

Squaring both sides

[tex]\Rightarrow 100=(x-11)^2+(-6)^2\\\Rightarrow 100=x^2+121-22x+36\\\Rightarrow x^2-22x+57=0\\\Rightarrow x^2-19x-3x+57=0\\\Rightarrow x(x-19)-3(x-19)=0\\\Rightarrow (x-19)(x-3)=0[/tex]

i.e. [tex]x\ \text{can be }\ x=3\ or\ 19[/tex]

Answer:

the quadratic equation cannot be written as the square of a binomial

Step-by-step explanation:

Given the expression

x^2 + 8x - 3 = 0

On factorizing

x = -8±√8²-4(-3)/2

x = -8±√64+12/2

x = -8±√76/2

x = -8±8.7/2

Note that since the since the discriminant is not a prefect square, the quadratic equation cannot be written as the square of a binomial

Answer:

c

Step-by-step explanation:

Answer: Its either D OR C.

Step-by-step explanation: its less than (suppose to be).

Answer:

Your correct, good job. >;D

Answer:

2 is the only even prime number.

All the even numbers less than 100 that are prime numbers will be 2.

A prime number is a positive integer having exactly two factors which are 1 and the number itself. Any number that does not follow this is termed a composite number.

If the number is divisible by 2 then the number will be an even number. Similarly, if the number is not divisible by 2 then the number will be an odd number.

The prime number from 0 to 100 is given below.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

All the even numbers less than 100 that are prime numbers will be 2.

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Answer: Below

Step-by-step explanation:cotA=11/60

tan=opposite/adjacent

cot=1/tan

cot=adjacent/opposite

cotA=11/60

adjacent=11

opposite=60

using the Pythagorean Theorem, the hypotenuse=61

csc=1/sin

cscA=1/sinA

sin=opposite/hypotenuse

sinA=60/61

csc=1/sin

cscA=61/60

The value of Cos A is [tex]\frac{11}{61}[/tex].

The cosine of an angle is defined as the sine of the complementary angle. The complementary angle equals the given angle subtracted from a right angle, 90°. For instance, if the angle is 30°, then its complement is 60°.

According to the given problem,

Given, cot A = [tex]\frac{11}{60}[/tex],  and angle A is in first quadrant then, all the function's value will be positive in nature.

Now, cot A = [tex]\frac{Base}{Perpendicular}[/tex]

cot A =  [tex]\frac{11}{60}[/tex]

Base = 11

Perpendicular = 60  

Using the Pythagorean Theorem

Hypotenuse² =  Perpendicular² +Base²

⇒ Hypotenuse² = 11² + 60²

⇒ hypotenuse = 61

Then, Cos A = [tex]\frac{Base}{Hypotenuse}[/tex]

Cos A = [tex]\frac{11}{61}[/tex]

Hence, we can conclude that Cos A is [tex]\frac{11}{61}[/tex].

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Answer:

y = x^2 + 14x + 62

Step-by-step explanation:

y = (x + 7)^2 + 13 is to be rewritten in the form y = ax^2 + bx + c.  

Note:  Use " ^ " to denote exponentiation.

Expand y = (x + 7)^2, holding the constant term to be added on later:

y = x^2 + 14x + 49 + 13

Combining the constants, we get:

y = x^2 + 14x + 62 (which matches Answer D).

Answer:                                                                                                                       1.)−(3

Answer:

206 and 109

Step-by-step explanation:

first term:

400 divided by 2 is 200

200+6= 206

second term:

206 divided by 2 is 103

103+6=109

Answer:

206,109

Step-by-step explanation:

If u divide 400 by 2 it equals 200 then u have to add 6 so its 206.

If u divide 206 by 2 it equals 103 then u have to add 6 and u get 109.