3/2 inches snow fell in 3/4 of an hour which two statements are true

Answer:

The factored difference is: [tex]2x(7x^3 - 10x + 5)[/tex]

Step-by-step explanation:

Difference in non factored form:

To find the difference in non-factored form, we subtract the common terms. So

[tex]24x^4 - 15x^2 + 6x - (10x^4 + 5x^2 - 4x) = 24x^4 - 10x^4 - 15x^2 - 5x^2 + 6x + 4x = 14x^4 - 20x^2 + 10x[/tex]

Greatest common factor:

Of the exponents: Between [tex]x^4, x^2[/tex] and [tex]x[/tex], it is the one with the lowest exponent, so x.

Between 14, 20 and 10:

14 - 20 - 10|2

7 - 10 - 5

So 2

The gcf is 2x, which means that the factored expression is:

[tex]2x(\frac{14x^4}{2x} - \frac{20x^2}{2x} + \frac{10x}{2x}) = 2x(7x^3 - 10x + 5)[/tex]

The factored difference is: [tex]2x(7x^3 - 10x + 5)[/tex]

Answer:

[tex](a)[/tex] [tex]Denominator= (x - 10)(x+5)(x-4)[/tex]

[tex](b)[/tex] [tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]

[tex](c)[/tex] [tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]

[tex](d)[/tex] [tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]

Step-by-step explanation:

Given

[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]

[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]

Solving (a): A common denominator of M and N.

To do this, we simply get the LCM of both denominators

[tex]M = x^2 - 5x - 50[/tex]

[tex]N = x^2 - 14x + 40[/tex]

Factorize both:

[tex]M = (x - 10)(x + 5)[/tex]

[tex]N = (x- 10)(x - 4)[/tex]

The LCM is

[tex]LCM= (x - 10)(x+5)(x-4)[/tex]

Hence, the common denominator is:

[tex]Denominator= (x - 10)(x+5)(x-4)[/tex]

Solving (b): Rewrite M

[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]

Factor the denominator:

[tex]M = \frac{7x - 5}{(x+5)(x - 10)}[/tex]

The LCM calculated in (a) above is:

[tex]LCM= (x - 10)(x+5)(x-4)[/tex]

So, we have to multiply the numerator and denominator of M by (x - 4)

The expression becomes:

[tex]M = \frac{7x - 5}{(x+5)(x - 10)} * \frac{x - 4}{x-4}[/tex]

[tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]

Solving (c): Rewrite N

[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]

Factor the denominator:

[tex]N = \frac{3x - 8}{(x-4)(x-10)}[/tex]

The LCM calculated in (a) above is:

[tex]LCM= (x - 10)(x+5)(x-4)[/tex]

So, we have to multiply the numerator and denominator of N by (x + 5)

The expression becomes:

[tex]N = \frac{3x - 8}{(x-4)(x-10)} * \frac{x + 5}{x + 5}[/tex]

[tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]

(d) Solve M + N

[tex]M + N = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)} + \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]

Take LCM

[tex]M + N = \frac{(7x - 5)(x-4) + (3x - 8)(x + 5)}{(x+5)(x - 10)(x-4)}[/tex]

Open brackets

[tex]M + N = \frac{7x^2 - 28x - 5x + 20 + 3x^2 + 15x - 8x - 40}{(x+5)(x - 10)(x-4)}[/tex]

Collect Like Terms

[tex]M + N = \frac{7x^2 + 3x^2- 28x - 5x + 15x - 8x + 20 - 40}{(x+5)(x - 10)(x-4)}[/tex]

[tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]

Answer:

0.5

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

3 times 4 is 12 and 2 times 4 is 8

Answer: 256

Step-by-step explanation:

Answer:

256cm² is the correct answer

Answer:

You are correct

Step-by-step explanation:

Answer: yes, you are correct :)

Step-by-step explanation:

Answer:

Option A, Left by 4 units

Step-by-step explanation:

Step 1:  Convert g(x) to a function square

We currently have g(x) in this order:  [tex]ax^2 + bx + c[/tex]

However, we want g(x) to be in this order:  [tex](ax + c)^{2}[/tex]

The first thing we have to do is to factor it out:

[tex]g(x)=x^{2}+8x+16[/tex]

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

[tex]g(x) = (x+4)^{2}[/tex]

Step 2:  Now we can see which way we need to move it

The original form is:  [tex]f(x) = (ax - b)^{2}[/tex]

Since the - has changed to a +, that means that we moved -4 spaces down the x-axis.  This means that we move left by 4 units.

Answer:  Option A, Left by 4 units

Look at the graphs below to make sure:

Answer:

A.) Left By 4 Units

Step-by-step explanation:

Functions f(x) and g(x) are shown below: f(x) = x2 g(x) = x2 + 8x + 16

The direction in which and by how many units the f(x) should be shifted to obtain the g(x) is given by as follows.

Given,

f(x) = x²

g(x) = x² + 8x + 16

we have to consider, the dependent term while selecting the direction.

Therefore, except x², only x term is dependent term.

In g(x), the x term is given by 8.

Therefore, we need to shift the f(x) left by 4 units.

Therefore, option A is correct.

Answer: (0,4)

Step-by-step explanation:

Answer:

The profit is 300.

Step-by-step explanation:

x = 0

y = 6

P = 30(0) + 50(6)

P = 0 + 300

P = 300

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

The required profit is 300.

Profit in Math is considered as the gain amount from any business activity.

Now the given function of profit is,

P = 30x + 50y

The Corner that maximizes profit is (0, 6)

Thus, At (0, 6) the given function is given as,

Put x = 0 and y = 6 in the given function.

P(0, 6) = 30*0 + 50*6

⇒ P(0, 6) = 0 + 300

P(0, 6) = 300

this is the required profit.

Thus, the required profit is 300.

To learn more about the profit visit:

brainly.com/question/26215194

#SPJ2

Answer:

Step-by-step explanation:

∠1 = 180° - ∠2 - ∠3 = 38°

∠5 = ∠1 = 38°

Answer:

A two-sided alternative hypothesis would be more appropriate in this case

Step-by-step explanation:

A one-sided hypothesis is one that asserts that a given parameter is either smaller than the null hypothesis value or larger than the value presented by the null hypothesis.

However in a two sided hypothesis, the claim is made that a given parameter is not equal to the parameter given in the null hypothesis, such that the parameter can be either larger than than or lesser than the value of the null hypothesis and still satisfy the condition of the hypothesis

Therefore, given for that for there to be a conclusion, the test should be weather the number of people that think of an odd number are equal to the number of people that think of an even number, or weather the number of people that think of an odd number are not equal to the number of people that think of an even number

Therefore, a two-sided hypothesis should be used since the claim (that the numbers are not equal) is not equal to the value of the parameter in the null hypothesis (that the numbers are equal)

Answer:

[tex]Area = 3500[/tex]

Step-by-step explanation:

Given

[tex]Length : Breadth = 7 : 5[/tex]

[tex]Perimeter = 240m\\[/tex]

Required

Determine the area

The perimeter is:

[tex]Perimeter = 2(Length + Breadth)[/tex]

This is then represented as:

[tex]240 = 2(7x + 5x)[/tex]

[tex]240 = 2 * 12x[/tex]

[tex]240 = 24x[/tex]

[tex]10 = x[/tex]

[tex]x = 10[/tex]

So, the area is:

[tex]Area = Length * Width[/tex]

[tex]Area = 7x * 5x[/tex]

[tex]Area = 7*10 * 5*10[/tex]

[tex]Area = 3500[/tex]

2+7x=747 X83                 83(2)=83             83(7)= 581

Step-by-step explanation:

Answer:

[tex]1-8x-2x^2[/tex]

Step-by-step explanation:

(-4x^3-14x^2+10x-1)÷(2x-1)

Factor the expressions that are not already factored.

[tex]\frac{(2x-1)(2x^2-8x+1)}{2x-1}[/tex]

Cancel out 2x−1 in both numerator and denominator.

[tex]2x^2-8x+1[/tex]

Swap terms to the left side.

[tex]1-8x-2x^2[/tex]

Graph if needed:

Answer:

C.

Step-by-step explanation:

Given

[tex]A =(x_1,y_1)[/tex]

[tex]B =(x_2,y_2)[/tex]

[tex]C =(x_3,y_3)[/tex]

[tex]D =(x_4,y_4)[/tex]

Required:

Which condition proves that AB is perpendicular to CD

First, calculate the slopes of both.

For AB

[tex]m_1 = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

For CD

[tex]m_2 = \frac{y_4 -y_3}{x_4 - x_2}[/tex]

The condition of perpendicularity is:

[tex]m_1 * m_2 = -1[/tex]

Substitute values for m1 and m2

[tex]\frac{y_2 -y_1}{x_2 - x_1} * \frac{y_4 -y_3}{x_4 - x_2} = -1[/tex]

Option (c) is correct

9514 1404 393

Answer:

Step-by-step explanation:

The relevant relations are ...

  sec = ±√(tan² +1)

  cos = 1/sec

  csc = 1/sin = ±1/√(1 -cos²)

Sine and Cosecant are positive in quadrants I and II. Cosine and Secant are positive in quadrants I and IV.

__

1. sec(θ) = -√((-2)² +1) = -√5

2. cos(θ) = 1/sec(θ) = 1/(5/3) = 3/5

3. csc(θ) = -1/√(1 -(-3/5)²) = -√(16/25) = -4/5

Answer:

x = -7/2........y = -11/2

Step-by-step explanation:

..….................

Forgive me if wrong

Answer:

y=-16

Step-by-step explanation:

Answer:

y = -16

Step-by-step explanation:

−10y+4(3y−8)=−64

Step 1: Simplify both sides of the equation.

−10y+4(3y−8)=−64

−10y+(4)(3y)+(4)(−8)=−64(Distribute)

−10y+12y+−32=−64

(−10y+12y)+(−32)=−64(Combine Like Terms)

2y+−32=−64

2y−32=−64

Step 2: Add 32 to both sides.

2y−32+32=−64+32

2y=−32

Step 3: Divide both sides by 2.

2y

2

=

−32

2

y=−16

Answer:

y=−16

Answer:

h = -25

Step-by-step explanation:

h - 5 = - 30

   +5     +5

h = -25

Answer:

x=1 must satisfy both equations.

Step-by-step explanation:

1)Y=X+4

2)Y=3X+2

IT Means x+4=3x+2

3x-x=4-2;

2x=2 ;  x=1 must satisfy both equations

Answer:

1/8

1/4

1/8

1/8

1/8

1/4

Step-by-step explanation:

Probability a letter would be picked = total number of the letter in the bag /sum of letters in the bag

1. v,r,y,w appear once. the numerator would be 1 and the denominator would be 8 = 1/8

e and l would appear twice in the bag, so the numerator would be 2 and the denominator would be 8 = 2/8 convert to its simplest form = 1/4

Answer:

a) 10

b) 3

c) 16

Step-by-step explanation:

Count the squares and the half ones match them with each other to get a full square... so so sorry if im wrong i did this a while ago! Currently Yr 9 x