2. Write an algebraic expression that models the cost of a telephone call is 35 cents plus 65 cents times the number of minutes. (use m for number of minutes)

Answer:

1

6

d

+

2

3

=

1

4

⋅

(

d

−

2

)

Combine

1

6

and

d

.

d

6

+

2

3

=

1

4

⋅

(

d

−

2

)

Simplify

1

4

⋅

(

d

−

2

)

.

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d

6

+

2

3

=

d

4

−

1

2

Move all terms containing

d

to the left side of the equation.

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−

d

12

+

2

3

=

−

1

2

Move all terms not containing

d

to the right side of the equation.

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−

d

12

=

−

7

6

Multiply both sides of the equation by

−

12

.

−

12

⋅

(

−

d

12

)

=

−

12

⋅

(

−

7

6

)

Simplify both sides of the equation.

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d

=

14

G = A/4

Solve for A by multiplying both sides by 4:

A = 4G

Answer:

D

Step-by-step explanation:

8^2+8^2=128

Square root of 128 is about 11.313

Replace t with the months given as choices to see which one gives a positive value as an answer.

P(1) = 1^4-9(1)^3 + 24(1)^2-20(1) = -4

P(2) = 2^4-9(2)^3+24(2)^2-20(2) = 0

P(3) = 3^4 -9(3)^3+24(3)^2-20(3) = -6

P(5) = 5^4-9(5)^3+24(5)^2-20(5) = 0

P(6) = 6^4-9(6)^3+24(6)^2-20(6) = 96

It shows a profit in month 6 so it would start showing a profit in month 5.

The answer is 5 months

Answer:

[tex]21. \: 136.1[/tex]

[tex]22. \: 27.0[/tex]

[tex]23. \: 471.3[/tex]

Remember to add "$" before the number.

Answer:

2

Step-by-step explanation:

By how much does x power 2 - ax +5 exceeed 3x power 2 -5x=6 I hope this helps :)

Answer:

Points lie on the same line if and only if the points are collinear

Step-by-step explanation:

Step-by-step explanation:

perimeter=a+b+c

p=10.5+15+(-5(x+11))

p=25.5-5x-55

p,=-5x-29.5

Answer:

a = 3

Step-by-step explanation:

2(a−4)+15=132

a−8+15=132

a=13−15+82

a=6

a=6/2

a=3

Answer:

a = 0

Step-by-step explanation:

given:

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

solve for a, when:

[tex]g(x) = -4[/tex]

replace x with -4

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

➡️ [tex] a = -1(-4) - 4 [/tex]

➡️ [tex] a = 4 - 4[/tex]

➡️ [tex] a = 0 [/tex]

Answer:

C = -27x^2 - 30x + 25

Step-by-step explanation:

C = (3x - 5)^2 - 36x^2

~Use FOIL

C = 9x^2 -30x + 25 - 26x^2

~Simplify

C = -27x^2 - 30x + 25

Best of Luck!

Answer:

a) 40 + 10d where is the distance

b) 160 km

Step-by-step explanation:

→ Substitute 12 into the formula

40 + ( 10 × 12 ) = 160

The value of R is 12.

A value that yields the original number when multiplied by itself is known as the square root of a number. The square root is a backwards technique for figuring out a number. Thus, squares and square roots are connected ideas.

Given R/4 = 36/R

multiply both sides by R

R/4 x R = 36/R x R

R²/4  =  36

multiply both sides by 4

R²/4 x 4 =  36 x 4

R² = 144

so R = √144

R = 12

Hence R = 12 for given condition.

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Answer:

Step-by-step explanation:

Answer:

14,142.858

Step-by-step explanation:

Answer:

The error in the question is that in the second line, both sides are not multiplied by x. This causes an imbalance in the equation.

Step-by-step explanation:

[tex]\frac{5}{x}= x-4[/tex]

Multiply both sides by x.

[tex]x(\frac{5}{x}) = x(x-4)[/tex]

[tex]5= x^{2} -4x[/tex]

Subtract 5 from the equations.

[tex]x^{2} -4x-5=0[/tex]

Factorise the equation (Quadratics)

[tex](x-5)(x+1)=0[/tex]

Null Factor Law

[tex]x=5[/tex] or [tex]x=-1[/tex]

Here, we have to go through the equation and correct it:

Starting equation: 5/x = x - 4

Multiply both sides by x:

x * (5/x) = x * (x - 4)

[tex]5 = x^2 - 4x[/tex]

Move all terms to one side to set up a quadratic equation:

[tex]x^2 - 4x - 5 = 0[/tex]

Now, we have a quadratic equation that needs to be solved.

We can solve this quadratic equation using factoring, completing the square, or the quadratic formula.

In this case, let's use factoring:

(x - 5)(x + 1) = 0

This gives you two possible solutions:

x - 5 = 0 --> x = 5

x + 1 = 0 --> x = -1

So, the correct solutions for the equation 5/x = x - 4 are x = 5 and x = -1. The error in your solution was in the step where you multiplied by x; you didn't distribute x properly to both terms on the right side of the equation.

This causes an imbalance in the equation.

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Hey there! I'm happy to help!

Let's convert the decimals to fraction form.

0.5=5/10=1/2

-1/7

-0.2= -2/10= -1/5

1/3

We know that the bigger the number in the denominator, the smaller the fraction is if the numerators are all the same.

First off, we have the negative numbers which are smaller than the other numbers. We have -1/7 and -1/5. We know that the 1/5 is a bigger fraction, but it is negatively bigger, so that is going to be the lesser number.

-1/5, -1/7

And with our bigger ones, we have 1/3 and 1/2. 1/2 is the bigger number here, so that will be the last one. Let's also be sure to convert back to our original forms! Here is our order :

-0.2, -1/7, 1/3, 0.5

Have a wonderful day and keep on learning! :D

Answer:

4 and 5, closer to 4

Step-by-step explanation:

hope that helps>3

Answer:

You will save $14.00

Step-by-step explanation:

If the shirt is 35% off, it means that you will effectively save 35% of the price. 35% of the price in this case is 35% of 40, which is $14.00

Answer: 5a + 2b

Step-by-step explanation:

Given

(8a - 2b + 3c) + (-3a + 4b - 3c)

Expand parentheses

=8a - 2b + 3c - 3a + 4b - 3c

Put like terms together

=(8a - 3a) + (4b - 2b) + (3c - 3c)

Combine like terms

=5a + 2b + 0

=[tex]\boxed{5a+2b}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

9514 1404 393

Answer:

  g(x) = (x -3)² -6

Step-by-step explanation:

You know that a function f(x) is translated h units to the right when x is replaced by x-h.

  g(x) = f(x-h) . . . . . translated h units right

You also know that a function f(x) is translated k units up when k is added to the function value.

  g(x) = f(x) +k . . . . . translated k units up

__

Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...

  g(x) = f(x -3) -6

Using the given definition of f(x), this becomes ...

  g(x) = (x -3)² -6

Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:

The number of triangles that can be formed by an n-sided shape is n - 2.

Given that:

[tex]n \to[/tex] number of sides

From the attached figures, we have the following observation.

If this pattern continues, the number of triangles for an n-sided shape will be: n - 2

Hence, the conjecture is:

The number of triangles that can be formed by an n-sided shape is n - 2.

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Answer:

I'm not sure. What I would do, though, is find the difference of the two times and then find the percentage of that within the original time. So the difference is .75. So the percentage would be .25%. Just an educated guess.

Answer:

16 cm2

Step-by-step explanation:

By equa tion of area of triangle: S = 1/2 * height * base

Triangle B: 32  = 1/2 * 8 * x --> x = 8 (cm)

The base of triangle A is half of the base of triangle B so it is 4 cm.

The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)

Answer:

boxes count from top to bottom

Answer:

x=8

Step-by-step explanation:

-2x+4y=-8

Let y = 2

-2x+4*2=-8

-2x+8=-8

Subtract 8 from each side

-2x+8-8=-8-8

-2x=-16

Divide by -2

-2x/-2 = -16/-2

x = 8

Answer:

y = x/2 - 1

Step-by-step explanation:

Just throw everything to the right till only y is on the left side

X-2y-2=0

- 2y =-x+2

2y = x - 2

y = x/2 - 1

Answer:

a: 7000

Step-by-step explanation:

5 year = 10, 6 months

700 x 10 = 7000