y=2x+3 and y=3x-4 solve system by substitution show your work

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer:

6

Step-by-step explanation:

75-6=4y+4y+3.5y

or 11.5y=69

or y=69\11.5

     =6

Answer:

- 7.5 y - 4y= 6 - 75

Step-by-step explanation:

= - 11.5y = -69

= y = 6

Answer:

never, sometimes, always

Step-by-step explanation: i got them right

Answer: 8/15

Step-by-step explanation:

You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.

Two of the desserts are sugar free (2/3).

Four of the drinks are sugar free (4/5)

Times these fractions together, 2/3x4/5= 8/15.

Hope this helps :)

Answer:

Answer: Option B. 16^4 is the correct answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

Given:

A terminal point on the unit circle determined by 4pi/3 radians

The unit circle has a radius = 1

the terminal point (x,y) will be calculated using the following formulas:

Substitute θ = 4pi/3

So, the answer will be:

9514 1404 393

Answer:

Step-by-step explanation:

a) The down payment is 9.5% of the price, so is ...

  down = 0.095×$214,000 = $20,330

__

b) The amount of the loan is the remaining value after the down payment is made:

  $214,000 -20,330 = $193,670

__

c) The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

payment on Principal P at interest rate r for t years

  A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35

__

d) The total cost of the house is ...

  down + (monthly payment)×(number of months)

  = $20,330 + $560.35×420

  = $255,677

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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The image of the point after the transformation is (2, -7)

The given parameters are:

Point =  (-1, 3)

Transformation rule:

D₂ o T 4.-5

The above means that

When these transformations are combined, we have

(x, y) = (2x + 4, 2x - 5)

So, the mathematical representation of this transformation is

(x, y) = (2x + 4, 2x - 5)

Substitute the equation Point =  (-1, -3) in the equation (x, y) = (2x + 4, 2x - 5)

So, we have the following equation

(x, y) = (2(-1) + 4, 2(-1) - 5)

Evaluate the product

(x, y) = (2, -7)

Hence, the image is (x, y) = (2, -7)

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Answer:

4

Step-by-step explanation:

When x = 5, y = 4, meaning that g(5)=4.

By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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Answer:

8(3+4p)

Step-by-step explanation:

8 goes into 24 and 32, so it can be factored out:

\(24+32p=8(3+4p)\)

Answer:

8(3 + 4p)

Step-by-step explanation:

Factor 24 + 32p

First, factor out the GCF. In this case, the GCF is 8, and we have

8(3 + 4p)

We can't factor anymore so the answer is 8(3 + 4p)

Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

Answer:

The coordinates of point E are (7,8).

Step-by-step explanation:

Point E:

Is given by (x,y).

DE: EF = 2:3.

This means that, for both coordinates x and y:

\(E - D = \frac{2}{2+3}(F-D)\)

\(E - D = \frac{2}{5}(F-D)\)

x-coordinate:

x-coordinate of D: 1

x-coordinate of F: 16

\(E - D = \frac{2}{5}(F-D)\)

\(x - 1 = \frac{2}{5}(16-1)\)

\(x - 1 = 2*3\)

\(x = 7\)

y-coordiante:

y-coordinate of D: 4

y-coordinate of F: 14

\(E - D = \frac{2}{5}(F-D)\)

\(y - 4 = \frac{2}{5}(14-4)\)

\(y - 4 = 2*2\)

\(x = 8\)

The coordinates of point E are (7,8).

Answer:

14

Step-by-step explanation:

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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The dimension of the original photo is 11 inches by 11 inches.

Given that, the area of the reduced photo is 64 square inches.

In the equation \((x -3)^{2} = 64\), x represents the side measure of the original photo.

We have to determine the dimensions of the original photo.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, solve the equation for the value of x.

By square rooting on both the side, we get

\(\sqrt{(x-3)^{2} } =\sqrt{64}\)

⇒\((x-3)=\)±\(8\)

⇒\(x=8+3=11\) and \(x=-8+3=-5\)

The length and width can not be negative.

Therefore, the dimension of the original photo is 11 inches by 11 inches.

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Answer: A) 11 inches by 11 inches

Step-by-step explanation:

Edg 2022

The residual for x = 5 is 1.2.(d) The value 20.7 is above the average value for y when z = 5.

Using the equation of the line of best fit, we can predict the value of y for z = 5 by substituting z = 5:

y = 2.3z + 6.8 = 2.3(5) + 6.8 = 19.5

Therefore, the predicted value of y for z = 5 is 19.5.

To find the residual for x = 5, we need to calculate the difference between the actual value of y and the predicted value of y for x = 5:

residual = actual value of y - predicted value of y

= 20.7 - 19.5

= 1.2

Therefore, the residual for x = 5 is 1.2.

The best interpretation for the residual is that the value 20.7 is above the predicted value of y for z = 5, which means that the value 20.7 is above the average value for y when z = 5. Therefore, the correct answer is (d) The value 20.7 is above the average value for y when z = 5.

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Answer:

The answer is letter B.) 151,200

Step-by-step explanation:

[(63×32)/2] × 150

Answer:

Below

Step-by-step explanation:

First we need to find the area of the triangle

     a = bh/ 2

     a = 32 x 63 / 2

     a = 2016 / 2

     a = 1008

Now just multiply this value by the length :

     v = ah

     v = 1008 x 150

     v = 151,200 cm^3

Hope that helps!

Answer: negative one third

Answer:

-1/3

Explanation:

There's a formula that I'll use to find the slope - it's called the slope formula.

\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data:

\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)

Simplify:

\(\sf{m=-\dfrac{4}{12}}\)

\(\sf{m=-\dfrac{1}{3}}\)

Hence, the slope is negative one-third.

The measures of the numbered angles in the rhombus include the following:

In Mathematics and Geometry, a rhombus can be defined as a type of quadrilateral that is composed of four (4) equal sides and opposite interior angles that are congruent (equal). Additionally, a rhombus typically has two (2) diagonals that bisect each other at right angles (90 degrees).

This ultimately implies that, the opposite sides of a rhombus are parallel and the sum of all the four (4) interior angles is equal to 360 degrees.

m∠3 + 90° + 31° = 180°

m∠3 + 121° = 180°

m∠3 = 180° - 121°

m∠3 = 59°

m∠3 ≅ m∠6 ≅ m∠4 = 59°

Since opposite angles are equal, we have:

m∠1 ≅ m∠5 = 31°

Since the two (2) diagonals bisect each other at right angles (90 degrees), we have:

m∠2 = 90°

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Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

h/5 - h(k + j) => 5/5 - 5(7 + 3)

5/5 - 5(7 + 3)

1 - 5 × 10

1 - 50 = -49

\(\text{h}=5 \ \text{and} \ \text{j}=3 \ \text{and} \ \text{k}=7\\\\\frac{\text{h}}{5}-\text{h}(\text{k}+\text{j})=\frac{5}{5}-5\cdot(3+7)=1-5\cdot10=1-50=\boxed{-49}\)

Answer:

39 sq inches

Step-by-step explanation:

Answer:

Cartesian product

Step-by-step explanation:

The Cartesian product of two sets, X and Y, denoted by X × Y, is the set of all ordered pairs (x, y), where x is an element of X and y is an element of Y: 8 (2.4.1) X × Y = { (x, y) ∣ x ∈ X ∧ y ∈ Y } For example, if Children = { Peter, Mark, Mary }, and Parents = { Paul, Jane, Mark, Mary }, then

Answer:

A it is

used to compare and display data

Answer:

Step-by-step explanation: