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Answer:

y = 3/4 x + 4

y equals 0.75 x plus 4

Step-by-step explanation:

y = 3/4 x + b

1 = 3/4 (-4) + b

1 = -3 + b

b = 4

Answer:

Step-by-step explanation:

Another way to solve this to use the point-slope form:

Substitute the values of m, x₁, y₁ and convert this into slope-intercept form:

Correct choice is A

Answer:

1000

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

According to converse of the Pythagorean Theorem, that if the square of the third side (longest side) of a triangle equals the sum of the other two shorter sides, therefore, the triangle formed must be a right triangle.

From the side lengths given, the following satisfies the Pythagorean triple:

5² + 12² = 13².

Therefore, the procedure to use to confirm the converse of the Pythagorean Theorem would be to draw the two shortest side, 5 cm and 12 cm, so that a right angle will be between them. The side measuring 13 cm should therefore fit in to form a right triangle.

Step-by-step explanation:

[tex] \boxed{cos^2x=\frac{1-cos2x}{2}}\\cos^2(45+A)+cos^2(45-A)=\frac{1-cos2(45+A)}{2}+\frac{1-cos2(45-A}{2}\\=\frac{1 - cos(90 +2A) }{2} + \frac{1 - cos(90 - 2A) }{2} \\ = \frac{2- ( - sin 2A) - sin2A}{2} \\ = \frac{2 + sin2A -sin2A }{2} \\ = \frac{2}{2} \\ = 1[/tex]

Step-by-step explanation:

Prove that

[tex]\cos^2(45+A)+\cos^2(45-A) =1[/tex]

We know that

[tex]\cos (\alpha \pm \beta) = \cos \alpha\cos \beta \mp \sin \alpha \sin\ beta)[/tex]

We can then write

[tex]\cos (45+A)=\cos 45\cos A - \sin 45\sin A[/tex]

[tex]\:\:\:\:\:\:\:\:= \frac{\sqrt{2}}{2}(\cos A - \sin A)[/tex]

Taking the square of the above expression, we get

[tex]\cos^2(45+A) = \frac{1}{2}(\cos^2A - 2\sin A \cos A + \sin^2A)[/tex]

[tex]= \frac{1}{2}(1 - 2\sin A\cos A)\:\:\;\:\:\:\:(1)[/tex]

Similarly, we can write

[tex]\cos^2(45-A) =\frac{1}{2}(1 + 2\sin A\cos A)\:\:\;\:\:\:\:(2)[/tex]

Combining (1) and (2), we get

[tex]\cos^2(45+A)+\cos^2(45-A)[/tex]

[tex]= \frac{1}{2}(1 - 2\sin A\cos A) + \frac{1}{2}(1 + 2\sin A\cos A)[/tex]

[tex]= 1[/tex]

Answer:

36151,82923

Step-by-step explanation:

30000* ( 1+12,5%/12)^18

Answer:

There are 45,697,600 different possible license plates. If no letters or numbers are repeated, there are 32,292,000 possible license plates.

Step-by-step explanation:

For the first question, we can repeat letters and digits.

Let [tex]\ell[/tex] represent a letter and [tex]#[/tex][tex]\#[/tex] represent a digit. The license plate format given is:

[tex]\underline{\ell}\:\:\underline{\ell}\:\:\underline{\ell}\:\:\underline{\ell}\:\:\underline{n}\:\:{\underline {n}[/tex]

For each letter, there are 26 letters to choose from (alphabet). For each digit, there are 10 numbers to choose from (0-9).

Since we're choosing 4 letters and 2 numbers, the number of possible license plates is:

[tex]26\cdot 26\cdot 26\cdot 26\cdot 10\cdot 10=\boxed{45,697,600}[/tex]

If we stipulate that no letter or digit may be repeated, then we'll still have 26 choices for the first letter, but for the second letter, we'll only have 25. Then 24, 23, and so on. Similarly, for the first digit, there will be 10 choices, then 9, 8, and so on.

Therefore, the desired answer for the second part of the question is:

[tex]26\cdot 25\cdot 24\cdot 23\cdot 10\cdot 9=\boxed{32,292,000}[/tex]

*Note that we don't need to account for rearrangements as [tex]HOCL67[/tex] and [tex]CLHO76[/tex] are considered different license plates (order matters).

Step-by-step explanation:

hey guys how do you put a picture like you did ?

Answer:

c. -[tex]x^{2}[/tex] + 8x + 6

Step-by-step explanation:

2[tex]x^{2}[/tex] + 7x + 6 - (3[tex]x^{2}[/tex] - x)

2[tex]x^{2}[/tex] + 7x + 6 - 3[tex]x^{2}[/tex] + x   (Distributed the negative to terms inside parentheses)

-[tex]x^{2}[/tex] + 8x +6                   (Combine like terms)

Answer:

B

Step-by-step explanation:

The equation represented in the question is the parent absolute value question. If you know the different parent functions, then the answer is obvious because absolute value equations always form a V. However, if you do not do this then you can create a table and plugin values. Plugin numbers like 0, -1, and 1 for X and solve for Y. Finally, graph these points and see what graph best fits. If needed you can also plug in more points.

Answer:

B.

Step-by-step explanation:

I got it correct on the warm up

odd numbers more than 100 are infinite.

Answer:

The power is 4

Step-by-step explanation:

2401 = 7 ^ (6-2x)

rewriting 2401 as 7^4

7^4 =  7 ^ (6-2x)

Answer:

7 to the power of 4

Step-by-step explanation:

7 x 7 x 7 x 7 = 2401

or 7^4

Answer:

WZY=170°

XYZ=60°

Step-by-step explanation:

Straight line, so WZY=180-10=170

Angles in a quadrilateral add to 360°, so:

100+30+170=300

360-300=60

XYZ=60°

Answer:

170° and 52°

Step-by-step explanation:

∠ WZY and ∠ YZA are adjacent angles and sum to 180° , that is

∠ WZY + 10° = 180° ( subtract 10° from both sides )

∠ WZY = 170°

The sum of the angles in a quadrilateral = 360°

sum the angles and equate to 360

∠ XYZ + 170° + 38° + 100° = 360°

∠ XYZ + 308° = 360° ( subtract 308° from both sides )

∠ XYZ = 52°

Answer:

hope it helps

Step-by-step explanation:

The given inequality is

The sign of inequality is ≤, it means the points on relation line lie in the solution set.

The related equation of the inequality is

At x=0,

At x=1,

Plot the points (0,0) and (1,-2) on a coordinate plane.

The sign of inequality is ≤, it means we have shade below the line.

The point (-2,4) and (3,-6) are in solution set because,

    (True)

     (True)

Therefore option A is correct.

The points (1,2) and (1,3) are not in the solution set because,

   (False)

  (False)

The correct answer for the inequality is,

⇒ (-2, 4) (3,- 6)

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ y ≤ - 2x

Now, We can find the solution of the inequality as;

We know that;

The points are satisfy the inequality are called solution of the inequality.

Hence, By option A;

Points are,

(-2, 4) and (3,- 6)

Put x = - 2, y = 4;

⇒ y ≤ - 2x

⇒ 4 ≤ - 2 x - 2

⇒ 4 ≤ 4

Which is true.

Put x = 3, y =  - 6;

⇒ y ≤ - 2x

⇒ -6 ≤ - 2 x 3

⇒ - 6 ≤ - 6

Which is true.

Hence, The correct answer for the inequality is,

⇒ (-2, 4) (3,- 6)

Learn more about the inequality visit:

https://brainly.com/question/25944814

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Complete question is,

On a piece of paper, graph y≤ -2x.Then determine which answer matches the graph you drew.

A.(-2,4) (3,-6)

B.(-2,4) (1,2)

C.(-2,-6) (1,3)

D.(-2,-6) (1,3)

Answer:

a. -1

e. 5/4

Step-by-step explanation:

Hi there!

The quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex] where the given quadratic is in the form [tex]ax^2+bx+c=0[/tex]

From the given equation [tex]4x^2-x-5 = 0[/tex], we can identify the values of a, b, and c:

a=4

b=-1

c=-5

Plug these values into the quadratic formula:

[tex]x=\frac{-(-1)\pm\sqrt{(-1)^2-4(4)(-5)}}{2(4)}\\x=\frac{1\pm\sqrt{81}}{8}[/tex]

[tex]x=\frac{1\pm9}{8}[/tex]

[tex]x=\frac{1+9}{8}= \frac{5}{4} \\x=\frac{1-9}{8} = -1[/tex]

Therefore, the solutions to the quadratic are 5/4 or 1.

I hope this helps!

Answer:

she will be using more orange juice

Answer:

she will be using more orange juice

Answer:

x ≈ 5.89

General Formulas and Concepts:

Pre-Algebra

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

0.77 = log(x)

Step 2: Solve for x

Answer:

The complete question and its solution in the attached file please find it.

Step-by-step explanation:

Answer:

[tex]3.7[/tex]

Step-by-step explanation:

[tex]3.9 < 3.7[/tex]

Answer:

answer is A

3.7

Step-by-step explanation:

Answer:

1 2/3.

Step-by-step explanation:

4 - 2 3/9

= 4 - 2 1/3

= 4 - 7/3

= 12/3 - 7/3

= 5/3

= 1 2/3

A function f : X → Y assigns only one value of y ∈ Y to any given x ∈ X.

For each of the three elements in {a, b, c}, there are 5 choices of values to assign from {1, 2, 3, 4, 5}, so there are 5³ = 125 possible functions.

Answer:

it is.........

Step-by-step explanation:

x<9 it is a open circle and it is pointing < that way

AdD my 1n5ta at jewcrispy999

Answer:

A.

Step-by-step explanation:

Twust me n' dwont doubt me

A is for apple

And cause A looks like ABC

DWUHHH

Answer:

2437miles

Step-by-step explanation:

amount left before it starts over = 999999-98654 = 1354

amount it will show = 3782-1354 = 2437

The odometer will show 2437 miles after 3782 miles if the odometer on your car shows the total number of miles traveled up to 99,999 miles, after it turns over it starts over at 0.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

The odometer on your car shows the total number of miles traveled up to 99,999 miles.

Current reading = 98,654 miles

After 99,999 miles the odometer turns over it and starts over at 0

The differnece = 99999 - 98654 = 1354

After 1354 miles odometer turns over and starts over at 0

Now, take the difference between 3782 and 1354

= 3782 - 1354

= 2437 miles

After 3782 miles the meter will show 2437 miles

Thus, the odometer will show 2437 miles after 3782 miles if the odometer on your car shows the total number of miles traveled up to 99,999 miles, after it turns over it starts over at 0.

Learn more about the distance here:

brainly.com/question/26711747

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Answer:

(negative infinity, positive infinity)

Any value of x makes the equation true.

Step-by-step explanation:

-5(3-4x) = -6+20x - 9

-15 + 20x = -15 + 20x

(negative infinity, positive infinity)

Answer:

True for all x

Step-by-step explanation:

-5(3-4x) = -6+20x - 9

Distribute

-15 +20x = -6+20x - 9

Combine like terms

-15 +20x = -15+20x

Subtract 20x from each side

-15 +20x-20x = -15+20x -20x

-15 =-15

This is true for all x

Th

Answer:

A since A is left blank its A

Answer:

just make a 120 angle and divide it by 2, 60.