MATHEMATICS HIGH SCHOOL

Issac Carter drove 312 miles in 6 hours. Find his average rate of speed. And... Please whoever solves this can you please give specific answer.

Answers

Answer 1
Answer: The answer would be 52. You would do 312/6=52.
Answer 2
Answer: speed = distance/time
= 312/6
= 52 miles per hour

answer: average rate of speed = 52 miles per hour

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The price of a dozen eggs was $1.63. The price rose m dollars. Then the price dropped $.12 per dozen. Express the current price of eggs after the two price changes.

Answers

1.63
rose m
1.63+m
dropped 0.12
1.63+m-0.12
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Find the equation of the line that is parallel to y=3x-2 and that contains the points ( 2,11)

Answers

Answer:

y = 3x+5

Step-by-step explanation:

(2,11)=(x_1,y_1)\ny =3x-2\nm = 3\n\nSubstitute \:values\:into \:point \:slope\:form\ny-y_1=m(x-x_1)\ny-11=3(x-2)\ny-11=3x-6\ny=3x-6+11\ny = 3x +5

14x-34

I need help fast!

Answers

Answer:

15.3

Step-by-step explanation:

im not 100 percent sure if this is correct but i used a calculator so...

ASAP!!!
What is the period of the sinusoidal function?

Answers

Given y = A sin (Bx + C) + D

  • amplitude is | A |
  • period is \bold{\frac{2\pi}{\text{B}}}
  • phase shift is {-\frac{\text{C}}{\text{B}}}
  • vertical shift is D

A cos function is the same as a sin function.

A tan function has a period of π, so the period is \frac{\pi}{\text{B}}

One point on a line is given the coordinate 5.3. A second point on the line has a coordinate of 8.7.The distance between these points is __________ units.

Answers

Answer: The distance between these points is 5 units.

Step-by-step explanation:

We know that by Distance formula , the distance between two points (a,b) and (c,d) is given by :-

D=√((d-b)^2+(c-a)^2)

The given points = (5,3) and (8,7)

The distance between theses points will be :

D=√((7-3)^2+(8-5)^2)\n\n\Rightarrow\ D=√((4)^2+(3)^2)\n\n\Rightarrow\ D=√(16+9)\n\n\Rightarrow\ D=√(25)=\pm5

Since , Distance is always positive , it means the distance between the given points is 5 units.

Answer:

3.2

Step-by-step explanation:

The distance formula  on a number line is

d= x2-x1

d= 8.7-5.3 =3.2

Solve the following quadratic by factoring1) x²+5x+6=0
2) x²+10x+21=0
3) x²+8x+15=0
4) x²+9x+14=0
5) x²-2x35=0

Answers

Answer:

Step-by-step explanation:

To solve these quadratic equations by factoring, you need to find two numbers that multiply to the constant term (the number without x^2) and add up to the coefficient of the linear term (the number with x). Here are the solutions for each of the equations:

1. x² + 5x + 6 = 0

We need two numbers that multiply to 6 and add up to 5. The numbers are 2 and 3.

So, we can factor the equation as (x + 2)(x + 3) = 0.

Now, set each factor equal to zero and solve for x:

x + 2 = 0 => x = -2

x + 3 = 0 => x = -3

So, the solutions are x = -2 and x = -3.

2. x² + 10x + 21 = 0

We need two numbers that multiply to 21 and add up to 10. The numbers are 7 and 3.

So, we can factor the equation as (x + 7)(x + 3) = 0.

Now, set each factor equal to zero and solve for x:

x + 7 = 0 => x = -7

x + 3 = 0 => x = -3

So, the solutions are x = -7 and x = -3.

3. x² + 8x + 15 = 0

We need two numbers that multiply to 15 and add up to 8. The numbers are 5 and 3.

So, we can factor the equation as (x + 5)(x + 3) = 0.

Now, set each factor equal to zero and solve for x:

x + 5 = 0 => x = -5

x + 3 = 0 => x = -3

So, the solutions are x = -5 and x = -3.

4. x² + 9x + 14 = 0

We need two numbers that multiply to 14 and add up to 9. The numbers are 7 and 2.

So, we can factor the equation as (x + 7)(x + 2) = 0.

Now, set each factor equal to zero and solve for x:

x + 7 = 0 => x = -7

x + 2 = 0 => x = -2

So, the solutions are x = -7 and x = -2.

5. x² - 2x - 35 = 0

To factor this equation, we need two numbers that multiply to -35 and add up to -2. The numbers are -7 and 5.

So, we can factor the equation as (x - 7)(x + 5) = 0.

Now, set each factor equal to zero and solve for x:

x - 7 = 0 => x = 7

x + 5 = 0 => x = -5

So, the solutions are x = 7 and x = -5.
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