What is g(x)?

O A. g(x) = -lxl
O B. g(x) = -X
O C. g(x) = -2^x
O D. g(x) = -x^2​

Answer:

25 quarters, 5 half dollars

Step-by-step explanation:

let a = the number of half dollars in the jar

and b = the number of quarters

a + b = 30

0.5a + 0.25b = 8.75

multiply the second equation by -2 to get

-a - 0.5b = -17.5

Now add the new equation and the first to eliminate h

a + b = 30

-a - 0.5b = -17.5

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

0.5b = 12.5

b = 25

There are 25 quarters, so there must be 5 half dollars

Answer:

Step-by-step explanation:

Let half dollars be d and quarters be q

d + q = 30 thus, q = 30 - d

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

0.5d + 0.25q = 8.75 substitute for q:

0.5d + 0.25(30 - d) = 8.75

0.5d + 7.5 - 0.25d = 8.75

0.25d = 1.25

d = 5 so there are 5 half dollars in the jar

Therefore, there are 30 - 5 = 25 quarters in the jar

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Check:

25 x 0.25 = 6.25

5 x 0.5 = 2.5

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

Total . . 8.75 Correct

Answer:The answer 60.7371385562.

Step-by-step explanation:

The square root of 3,689 is approximately 60.74.

[tex]\sqrt{3689} = 60.74[/tex] (approx)

Answer:

Rational numbers:

Any terminating decimal is a rational number.

0.151

0.152

Irrational numbers:

Pi is irrational, so when pi is divided by a rational number, the result is irrational.

pi/20.8 = 0.151038108...

pi/20.7 = 0.151767761...

Answer:

g = 23/16

Step-by-step explanation:

3/16 = (-5/4) + g

Add 5/4 on both sides.

3/16 + 5/4 = g

Make denominators equal and add.

3/16 + 20/16 = g

23/16 = g

Answer: 36 miles

Step-by-step explanation: Multiply 12 by 3 to find out how many miles a person will walk in an hour.

12 miles = 20 minutes

12 x 3 = 36

36 minutes in 1 hour

Answer:

36 miles

Step-by-step explanation:

convert the one hour into minutes, which will be 60 minutes.

if 12 miles = 20 minutes,......................... what about 60 minutes.

     ??        =  60 minutes.

cross multiply:

it will become; 12 ×60 ÷20

= 36 miles

Answer:

Peter started with 21 cards

Step-by-step explanation:

half of his card that gave to bobby =9

so the other half is 9

9+9=18

18+3 cards that he lost at the beginning=21

Answer:

Substitute 21 for X in the original equation YES

Substitute any number for X in the original equation NO

Bobby’s claims that x=21 is correct YES

The result of verifying Bobby's work is 9=9 YES

The result of verifying Bobby's work is 21=21 NO

Step-by-step explanation:

got right on edg

Answer:

A

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = 8 - 10 = - 2, thus

[tex]a_{n}[/tex] = 10 - 2(n - 1) → A

Answer:

A

Step-by-step explanation:

an = 10 – 2(n – 1)

Answer:

The cost of 12 gallons of gas and a quart of oil is 14·x - 30

Step-by-step explanation:

When adding variables, the coefficient of the variables are added followed by multiplication of the sum of the coefficients with variable as follows;

The cost of 12 gallons of gas = 12·x

The cost of a quart of oil is represented by 2·x - 30

Therefore, the cost of 12 gallons of gas and a quart of oil can be represented as follows;

12 gallons of gas and a quart of oil = 12·x + 2·x - 30

Which gives;

The cost of 12 gallons of gas and a quart of oil = 14·x - 30.

Answer:

Approximate answer: [tex]66.36 \ cm^2[/tex]

Step-by-step explanation:

[tex]DM = 5.66\cdot \cot(65^\circ)[/tex]

Denote the projection of point [tex]B[/tex] onto side [tex]DC[/tex] as [tex]M'[/tex].

[tex]M'C = 5.66\cot(62^\circ)[/tex]

[tex]MM' = AB = 8.9[/tex]

[tex]DC = DM + MM' + M'C[/tex].

Next we should put everything together in area formula for trapizium:

[tex]S = AM\cdot\frac{AB + DC}{2}[/tex]

Answer:

Exact Form:

35

____

18

Decimal Form:

1.94 (repeating bar on 4 only)

Mixed Number Form:

1 and 17 over 18

Step-by-step explanation:

¿Cuanto tardara en tocar 10 campanadas?

Answer:

hope it will help uh.....

Answer:

hope this helps uh...!!!

Answer:

Step-by-step explanation:

3x+6y=-18

y=-3x/6-18/6

y=-1/2 x-3

Answer:

x=62

Step-by-step explanation:

In an isosceles triangle opposite sides are equal and sum of the sides is 180 degree

So, if we name them 'angle a', 'angle b' and 'angle c'

angle a= 56

a+b+c= 180

using the isosceles triangle formula b=c,

56+b+c=180

name b,c as x

56+2x=180

2x= 180-56

2x= 124

x=62

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The value of x in the triangle will be 62°

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two sides of triangle = 6

So, This is an isosceles triangle.

Third side of a triangle = 5.7

Now,

Since, The given triangle is an isosceles triangle.

So, It has measure of two angles = x°

And, The measure of third angle = 56°

Since, The sum of all angles of a triangle = 180°

Substitute all the value of angles, we get;

x° + x° + 56° = 180°

Solve for x as;

2x + 56 = 180

Subtract 56 both side,

2x + 56 - 56 = 180 - 56

2x = 124

Divide by 2, we get;

x = 62°

Thus, The value of x in the triangle will be 62°

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Answer:

0.109589 millimeters per day.

Step-by-step explanation:

10 mm = 1 cm

4 cm = 4 × 10

       = 40 mm

365 days = 1 year

rate to millimeters per day = 40 mm in 365 days

                                           = 40/365  mm/day

                                            = 8/73 mm/day

                                      or    = 0.109589 mm/day.

Rate to millimeters per day = 0.109589 millimeters per day.

Step-by-step explanation:

the first question is the first answer 4cm/1 years x 10mm/1cm x 1 year/ 365 days

the second question is the third answer 100 inches/1 minute x 1 foot/ 12 inches

Answer:

Step-by-step explanation:

[tex](1.6x + 7.3) + (-0.6x + 2) - (7.8 -3.4x)\\Ope- the- brackets\\1.6x+7.3-0.6x+2-7.8+3.4x\\Collect-like-terms\\1.6x-0.6x+3.4x+7.3+2-7.8\\4.4x+1.5[/tex]

Answer:

4.4

Step-by-step explanation:

Answer:

166cm^2

Step-by-step explanation:

To calculate the area of the composite shape, find the area of rectangle and subtract the area of the triangle from it:

Area of rectangle =  16 x 11 = 176cm^2

Area of triangle = 1/2 x 4 x 5 = 10cm^2.

Since the shape is a rectangle, which the supposed shape of a triangle removed, subtract the area of triangle from that of rectangle:

176-10 = 166cm^2

Hope this helps

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Answer:

( 5 x + 3 ) ( 3 x − 4 )

A

Step-by-step explanation:

the answer is A. (5x+3) (3x-4)

Answer:

14 months and 1/3 of a month

Step-by-step explanation:

We can find how many months it will take by dividing the cost by the amount she puts away each month:

2150/150 = 14.33

So, it will take her 14 and 1/3 of a month

Answer:

Step-by-step explanation:

If Melinda has 4 different crayon and 2 different boxes and she is to put all 4 crayons into the two boxes so that each box has at least 1 crayon, this  can be achieved as follows. Note that at least one crayon must be in each box, this means no box must be left empty. Each box can take any number of crayon from 1 and above.

First box      Second box

1 crayon        3 crayons (first way)

2 crayons     2 crayons (2nd way)

3 crayons     1 crayon (3rd way)

This means that crayons can be divided into each box in 3 different ways provided that each box has at least 1 crayon.

Answer:

A and C

x = -(√17 - 5)/2, (√17 + 5)/2

Step-by-step explanation:

Quadratic Formula: [tex]x = \frac{-b +/-\sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Use quadratic formula

a = 1, b = -5, c = 2

[tex]x = \frac{5 +/-\sqrt{(-5)^2-4(1)(2)} }{2(1)}[/tex]

[tex]x = \frac{5 +/-\sqrt{25-8} }{2}[/tex]

[tex]x = \frac{5 +/-\sqrt{17} }{2}[/tex]

Answer:

-10 degree celsius

Explaination:

(-2) - 8

= -2 + -8

= -10 degree celsius

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Answer: Y = 2 ; 3 ; 4

Step-by-step explanation:

Given the rule : y=1/4x + 1

X = 4, 8, 12

When x = 4

y = 1/4(4) + 1

y = 1 + 1

y = 2

When x = 8

y = 1/4(8) + 1

y = 8/4 + 1

y = 2 + 1

y = 3

When x = 12

y = 1/4(12) + 1

y = 12/4 + 1

y = 3 + 1

y = 4

Therefore ;

X - - - 4 - - - 8 - - - 12

Y - - - 2 - - - 3 - - - 4

Answer:

Angle 1: 55

Angle 2: 110

Angle 3: 15

Step-by-step explanation:

Angle 1: x

Angle 2: 2x

Angle 3: x-40

The total degrees for all the angles in a triangle add up to 180, so we now have the equation x+2x+x-40=180. From here we solve to get 55 degrees for x, so angle 1 is 40 degrees, angle 2 is 110 (2 times 40) and the third angle is 15 (55-40).  

Answer:

B. 8

Step-by-step explanation:

This is because a 6-8-10 right triangle (a variation of a 3-4-5 right triangle) is a Pythagorean Triple.

To show that the answer 8 works:

a^2+b^2 = c^2

6^2+b^2 = 10^2

36+b^2 = 100

b^2 = 64

b = sqrt64 = 8

Answer:

x=8

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

6^2 + x^2 = 10 ^2

36+ x^2 = 100

Subtract 36 from each side

x^2 = 64

Take the square root of each side

x = 8

Answer:

[tex]A2+By=C[/tex]

Step-by-step explanation:

Well standard form is [tex]Ax+By=C[/tex].

And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].

So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.

So [tex]Ax+By=C[/tex]

x -> 2

So answer is [tex]A2+By=C[/tex]

2A+By=C is the standard form of X=2

Two or more expressions with an Equal sign is called as Equation.

The standard form of a linear equation is Ax+By=C.

A times of x plus B times of y equal to C

A, B, and C are constants,

x and y are variables.

Standard form lets us quickly find the x- and y- intercepts.

By given x value is 2.

Now plug in the value of x in standard form of equation.

2 times of A plus B times of y equal to C

2A+By=C

Hence 2A+By=C is the standard form of X=2

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▹ Answer

x = -3

▹ Step-by-Step Explanation

-4(1.5x - 5) + 4x = 26

-6x + 20 + 4x = 26

-2x + 20 = 26

-2x = 26 - 20

-2x = 6

x = -3

Hope this helps!

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Answer: x= -3

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.  

x=-3

-6x+20+4x=26

-2x+20=26

-2x=6

x=-3

Answer:

the third one :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

slope=(11-0)/(2-0)=11/2=5.50

eq. of line through (0,0) is

y-0=5.50(x-0)

y=5.50 x

put x=b,y=p

p=5.50 b

Answer:

51m

Step-by-step explanation:

tan 21 = y/35;    y=13.43

tan 47 = x/35;    x=37.53

13.43+37.53 = 50.97 = 51m

Answer: 125

Step-by-step explanation:

4/25 = 20/Y

Cross multiply to get the equation

4Y = 500

Divide both sides by 4

Y=125

y=5 when x=20.

Given that, y is inversely proportional to x. When y = 25 , x = 4.

We need to find the y value when x=20.

Inversely proportional variables or quantities are those in which if one variable increases the other will decrease, and if one variable decreases the other increases.

Now, y∝1/x

⇒y=k/x

⇒25=k/4

⇒k=100

Thus, the y value when x=20.

y=100/20=5

Therefore, y=5 when x=20.

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