Q##..15 Graph the equation. y= 4x - 3

(b)

using the 'laws of exponents '

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

2² × [tex]\frac{2}{2^{4} }[/tex] = [tex]\frac{2^{3} }{2^{4} }[/tex] = [tex]2^{(3-4)}[/tex] = [tex]2^{-1}[/tex]

If each item Kathy puts in the box weighs 2 kg, then the weight of p items will be 2p kilograms. Since the box weighs 1 kg, the total weight in kilograms will be ...

... 2p + 1

Kathy wants that value to be less than or equal to 10 kg, so her inequality will be

... 2p + 1 ≤ 10 . . . . . corresponds to selection D

The slope we can get from using this y1-y2/x1-x2

so

10-3/-5-1=7/-6=-1 1/6

There's your slope

Given:  sin theta = 2/5.  This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively.  The adj side is found using the Pyth. Thm.:  5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).

The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.

In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:

                                                                              (4/25)*sqrt(21).

Answer:

The value of [tex]\sin^2 \theta=\frac{4}{25}[/tex]                                                                            

Step-by-step explanation:

Given : [tex]\sin \thet=\frac{2}{5}[/tex] and  [tex]0<\theta<90[/tex]

To find : The value of [tex]\sin^2\theta[/tex] ?

Solution :

We have given the value of [tex]\sin \thet=\frac{2}{5}[/tex] and  [tex]0<\theta<90[/tex]

To find [tex]\sin^2\theta[/tex] we just have to square [tex]\sin\theta[/tex]

[tex]\sin \theta=\frac{2}{5}[/tex]

Squaring both sides,

[tex](\sin \theta)^2=(\frac{2}{5})^2[/tex]

[tex]\sin^2 \theta=\frac{4}{25}[/tex]

Therefore, The value of [tex]\sin^2 \theta=\frac{4}{25}[/tex]

Answer:

m=-3/8, n=12

Step-by-step explanation:

Answer: m=-3/8, n=12

Step-by-step explanation: Got it right on TTM

Answer:

the answer is D and A hope this helps

B and D

under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x )

A(5, 4 ) → A'(4, - 5 )

B(6, 9 ) → B'(9, - 6 )

C(2, 8 ) → C'(8, - 2 )

These points correspond to the coordinates in the diagram → B

under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

A(- 1, 2 ) → A'(- 2, - 1 )

B(-1, 5 ) → B'(- 5, - 1 )

C(- 3, 5 ) → C'(- 5, - 3 )

D(- 3, 2 ) → D'(- 2, - 3 )

These points correspond to the coordinates in the diagram → D

Answer:

Make use of your knowledge of the maximum and minimum of the cosine function. Then scale and translate according to the way that function is scaled and translated to make f(x).

Step-by-step explanation:

f(x) is the cosine function, multplied by 4 and with 9 added to the result.

The minimum of the cosine function is -1. Multiplying that by 4 gives -4, and adding 9 gives 5.

The maximum of the cosine function is +1. Multiplying that by 4 gives +4, and adding 9 gives 13.

The minimum and maximum of f(x) are 5 and 13, respectively.

Max and Min:

Max = 13

Min = 5

COS Standard Period

[tex]2\pi[/tex]

COS Period with a multiplier of 2 on x

[tex]\pi[/tex]

COS Period with a multiplier of 2 on x and a Phase Shift

Answer to period

[tex]\frac{5}{4}\pi[/tex]

Step-By-Step Explanation:

Please view the image I have provided.

Answer: 33 and 11

Step-by-step explanation: Both 11 and 33 would be the answr because 11 by the 2wice would be 33, and also 11 it's self would be the answer.

The numbers are x = 33 and y = 11 respectively.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that one number is 11 more than twice another number and the sum of the numbers is twice their difference

Assume that the numbers are (x) and (y). Then, we can the model the equation as follows -

x = 2y + 11

x + y = 2(x - y)

Simplifying the equations, we can write -

x + y = 2(x - y)

x + y = 2x - 2y

2x - x - 2y - y = 0

x - 3y = 0

y = x/3

Put y = x/3 in x = 2y + 11, we get -

x = 2x/3 + 11

x - 2x/3 = 11

x/3 = 11

x = 33

then y = 33/3 = 11

Therefore, the numbers are x = 33 and y = 11 respectively.

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If you assume the rental cost changes in a linear fashion, the change over 6 years was $44. The "unit rate of change" is then $44/(6 years) ≈ $7.33/year.

6

24% = [tex]\frac{24}{100}[/tex]

multiply 25 by this fraction

25 × [tex]\frac{24}{100}[/tex] = [tex]\frac{25(24)}{100}[/tex] = 6

2*53/25 = 4.24

4 is not enough to maintain the required ratio, so there must be 5 chaperones, minimum.

_____

Presumably, the guidelines contain additional information regarding whether the number of chaperones can be odd. Sometimes, two are required so that one can be taking care of a student while the other handles the remaining students (or calls for emergency aid). In that case, the minimum for 53 students may be 6 chaperones.

Angles 1 and 2 involve lines a, b, and d. If d is the transversal, then the only pair left out of those three lines is a and b.

_____

Angles 1 and 2 are between lines a and b (interior), and either side of line d (alternate), so meet the requirements to be called alternate interior angles.

Answer:

ITS A AND B

Step-by-step explanation:

Answer: 16x^4

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

To put the first equation into standard form, with the coefficients mutually prime, divide it by 5:

... x - y = 4

To put the second equation into standard form, with the coefficients mutually prime and the leading coefficient positive, divide by -2:

... x - y = 2

These are inconsistent equations, hence have no solution.

Answer:

a

Step-by-step explanation:

Hey there!!

Given equation :

... [tex]\frac{x}{2} + 3 = -5[/tex]

Subtracting 3 on both sides :

... [tex]\frac{x}{2} = -8[/tex]

Multiplying 2 on both sides :

... [tex]x = -16[/tex]

Hope my answer helps!!

the answer for x would be -16

A 81.2 is the answer

Hello!

Answer:⇒⇒⇒⇒⇒⇒⇒⇒A. 81.2

Step-by-step explanation:

[tex]6(2.6+12.1)[/tex]

Add the numbers.

[tex]2.6+12.1=14.7[/tex]

[tex]6*14.7[/tex]

Multiply the numbers.

[tex]6*14.7=88.2[/tex]

[tex]=88.2[/tex]

[tex]88.2-7[/tex]

Subtract the numbers.

[tex]88.2-7=81.2[/tex]

[tex]=81.2[/tex]

Hope this helps!

Thank you for posting your question at here on brainly.

-Charlie

To answer this, divide 1000 cm by 16:

1000 cm

------------------ = 66 2/3 cm per piece

  16 pieces

Answer

d = 2

Step-by-step explanation:

d divided by 12 is the same as d/12?

d/12 = 1/6

cross multiply and get 12 = 6d.

6(2) = 12.

Divide 12 by 2 and you get 2/12 which simplifies to 1/6.

Hope I helped. ^-^

d = 2

given [tex]\frac{d}{12}[/tex] = [tex]\frac{1}{6}[/tex]

multiply both sides by 12

d = 12 × [tex]\frac{1}{6}[/tex] = 2

Answer:

12.1

Step-by-step explanation:

We use the formula for the distance between two arbitrary points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the xy-coordinate plane, that is:

[tex]d=\sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}[/tex]

So, replacing the points [tex]M=(2,16)[/tex] and [tex]M_2=(-3,5)[/tex], we obtain:

[tex]d=\sqrt{(2-(-3))^2 + (16-5)^2}\\d=\sqrt{(2+3)^2 + (16-5)^2}\\d=\sqrt{5^2 + 11^2}\\d=\sqrt{146 }=12.083045... \simeq 12.1[/tex]

that is the answer.

note: observe that we only use the coordinates between the two midpoints and not the point J.

Answer:

The answers would be

1. C

2. B

3. A

Step-by-step explanation:

The term product refers to multiplication. So in question 1, when we see the term quotient, we are looking to multiply.

The term quotient refers to division. So in questions 2 and 3, when we see this term, we look to divide.

Answer:

C. [tex]6n[/tex]

B. [tex]\frac{6}{(x+y)}[/tex]

A. [tex]\frac{Z}{3}[/tex]

Step-by-step explanation:

1. This expression refers to the product operation between real numbers, therefore the correct algebraic form is [tex]6n[/tex]

2. This expression refers to the operation division between real numbers, therefore the correct algebraic form is [tex]\frac{6}{(x+y)}[/tex]

3. This expression refers to the operation division between real numbers, therefore the correct algebraic form is [tex]\frac{Z}{3}[/tex]

You must get two equation to find point of intersections

Answer:

x = (2,0)

y = (0,4)

Step-by-step explanation:

Solve For x:

Lets take y as 0 so the equation is 0 = -2x + 4, and if we simplify the expression we get x = 4/2 which s x = 2 so the answer for x is (2,0)

Solve for y:

Lets take x as 0 so the equation is y = -2 · 0 + 4 which simplyfied to y = 4, so the answer for y is (0,4)

The answer is 70494.

64%. You would divide 16 from 25 because you're trying to find the amount of garbage that was plastic.

Hope this helped! :)

Answer: First option. x-intercept is -5; y-intercept is -7/4

Solution:

1) To find the x-intercept we replace y by 0, and solve for x:

-(7/5)x-4y=7

-(7/5)x-4(0)=7

-(7/5)x-0=7

-(7/5)x=7

Multiplying both sides of the equation by -(5/7)

-( 5/7)[-(7/5)]x=-(5/7)(7)

x=-(5*7)/7

x=-35/7

x=-5

The x-intercept is -5

2) To find the y-intercept we replace x by 0, and solve for y:

-(7/5)x-4y=7

-(7/5)(0)-4y=7

-0-4y=7

-4y=7

Dividing both sides of the equation by -4:

-4y/(-4)=7/(-4)

y=-(7/4)

The y-intercept is -(7/4)

When you write expressions like this, you need to pay attention to the Order of Operations. As this is written, the only factor in the denominator is the one immediately after the division symbol: 7. This simplifies to

... (35/7)·x^(3+2)·y^(5+4) = 5x^5y^9

_____

We suspect you might intend ...

... (35x^3y^5)/(7x^2y^4) = (35/7)x^(3-2)y^(5-4) = 5xy

f^-1 is found by reading the table from right to left, so find the f(x) number in the right hand column and f^-1 would be the number in the left hand column.

When f(x) = 3, x = 2

f^-1(3) would be 2

When f(x) = 8, x = 7

f^-1(8) = 7

As per the given value of the function , value of [tex]f^{-1}(3) = 2[/tex] and [tex]f^{-1}(8) = 7[/tex].

" Function is defined as the for each input value there is one and only one output."

According to the question,

From the given table value of function [tex]f(x)[/tex]defined for [tex]x[/tex]

Consider,

[tex]f(x) = y\\\\\implies x = f^{-1}(y)[/tex]

Value of required function we get,

[tex]y= 3\\\\\implies f^{-1}(3)= 2[/tex]

[tex]y= 8\\\\\implies f^{-1}(8)= 7[/tex]

Hence, as per the given value of the function , value of [tex]f^{-1}(3) = 2[/tex] and [tex]f^{-1}(8) = 7[/tex].

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