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AysviL [449]
3 years ago
13

4x^2 = 28x Solve and explain how you arrived at the solution

Mathematics
1 answer:
dlinn [17]3 years ago
4 0
Step 1: Subtract 28x from both sides.
4x2−28x=28x−28x4x2−28x=0
Step 2: Factor left side of equation.
4x(x−7)=0
Step 3: Set factors equal to 0.
4x=0 or x−7=0
Answer:x=0 or x=7
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Solve the following pair of simultaneous equations. you can use any 3 methods. 2x- y= 5, x+2y=5.
zysi [14]

Answer:

2x-y= 5, x + 2y=5

Step-by-step explanation:

x = 3, y = 1

4 0
3 years ago
What is the value of x?<br><br> Enter your answer in the box.
Viefleur [7K]

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of squares on the other 2 sides, that is

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = \sqrt{25} = 5

7 0
2 years ago
Read 2 more answers
Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.
miss Akunina [59]

Answer:

Here's what I get.

Step-by-step explanation:

Part A. Equation in standard form

The question is asking you to find the equation of a straight line that passes through two points

Let x = the number of days

and y = the cost

Then the coordinates of the two points are (2,225) and (5,480).

(i) Calculate the slope of the line

\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\& = & \dfrac{480 - 225}{5 - 2}\\\\& = & \dfrac{255}{3}\\\\& = & 85\\\end{array}

In other words, the daily rental is $85/day.

(ii) Calculate the y-intercept

\begin{array}{rcl}y & = & mx + b\\480 & = & 85 \times 5 + b\\480 & = & 425 + b\\b & = & 55\\\end{array}

(iii) Write the equation for the line

y = 85x + 55

That is, the cost is $55  plus $85/day

Part B. Equation in function notation

Replace y with ƒ(x)

ƒ(x) = 85x + 55

Part C. Graphing

Let's say you want to plot a graph of the rental cost for up to ten days.

(i) Calculate two points on the graph.

When x = 0, y = 85; when x = 10, y = 905.

(ii) Scale your axes

A good number of intervals is about ten.

Your x-axis should have tick marks at 1-day intervals.

Your largest y-value is 905. Ten intervals would make about $90/interval. However, you should round that up to $100/interval for easy interpolation.

Your y-axis will run from 0 to $1000 in $100 intervals.

Plot your two points and draw a straight line through them.

(iii) Axis labels

x represents the number of days, so the label on the x-axis could be "No. of days."

y represents the cost of renting the boat, so the label on the y-axis could be "Rental cost."

Your graph should resemble the one below.

4 0
3 years ago
If the government takes 38% of your income and you earn $75,000 a year, how much of your income goes to the government?
Delvig [45]

$28,500 goes to the Government

4 0
3 years ago
Read 2 more answers
6. If HJ = 7x - 27, find the value of x.<br> 3x - 5<br> x-1<br> -<br> H<br> I<br> J
masha68 [24]

The measure of the EF and x from the given diagram is 58 and 7 respectively.

<h3>Bisection of lines</h3>

4) From the given diagram;

  • DF = DE + EF

9x - 39 = 47 + 3x + 10

9x - 3x = 57 + 39

6x = 96

x = 96/6

x = 16

Get the value of EF

EF = 3x + 10

EF = 3(16) + 10

EF = 58

The mesure of EF is 58

5) HJ = HI + IJ

7x - 27 = 3x - 5 + x - 1

7x - 27 = 4x - 6

7x - 4x = -6 + 27

3x = 21

x = 7

Hence the value of x is 7

Learn more on bisection here: brainly.com/question/25770607

3 0
2 years ago
Read 2 more answers
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