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Alexxandr [17]
2 years ago
6

Use technology to find points and then graph the line y=-5(x-5)+1 following the instructions below.

Mathematics
1 answer:
Svetach [21]2 years ago
6 0

Given:

y=-5(x-5)+1

First, let us find two points from this equation.

We can set values of x and then solve for y.

Let us find the values of y when x = 1, 2, 3, 4, 5

\begin{gathered} y=-5(x-5)+1 \\ y=-5(1-5)+1=21 \\ y=-5(2-5)+1=16 \\ y=-5(3-5)+1=11 \\ y=-5(4-5)+1=6 \\ y=-5(5-5)+1=1 \end{gathered}

We now have a set of points:

(1, 21)

(2, 16)

(3, 11)

(4, 6)

(5, 1)

Since the given plane is limited to values of 10 and -10, the points that we can plot are the points (4, 6) and (5, 1)

The graph would then look like this:

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Calculate 936 divided by 36 show your working out
Tema [17]
To do this without a calculator, the best method would be chunking.

Minus 36 from 936 in groups of ten until a smaller number is reached; record the number in each group.

936 - (10 x 36)
936 - 360 = 576

576 - (10 x 36)
576 - 360 = 216

216 - (5 x 36)
216 - 180 = 36

36 - (1 x 36)
36 - 36 = 0

Add up all the bold numbers

10 + 10 + 5 + 1 = 26
3 0
3 years ago
Can you answer these please? Show all work
Ganezh [65]

Answer:

i)  Sally' s grocery bill = c - \frac{5}{100}c = 0.95c

   Therefore the correct option is B.)

ii)   Therefore the expression which represents the expected population  

    next year is given by :

    = p + \dfrac{7.5}{100} p   =   1.075p

Therefore the correct option is B.)

Step-by-step explanation:

Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%.

Let c represent the cost of Sally's groceries.

therefore the expression which represents Sally's grocery bill is given by :

Sally' s grocery bill = c - \frac{5}{100}c = 0.95c

Therefore the correct option is B.)

The population of a city is expected to increase by 7.5% next year If p represents the current population, which expression represents the expected population next year?

Let p = current population of a city.

Therefore the expression which represents the expected population next year is given by :

  = p + \dfrac{7.5}{100} p = 1.075p

Therefore the correct option is B.)

8 0
3 years ago
Look at the table. Make a conjecture about the sum of the first 25 positive even numbers.
insens350 [35]
Even number are of the form 2n.  The sum of this sequence is the average of the first and last terms times the number of terms.

So the first term is 2 and the 25th term is 50 so the sum is:

(2+50)(25/2)

52*12.5=650

The conjecture they wish you to make is that for n terms, the sum will be:

s=n(n+1)

And for 25 terms that would give you:

s=25*26=650
6 0
4 years ago
Read 2 more answers
In the figure below, a shaded polygon, which has equal sides and equal angles, is partially covered with a sheet of blank paper.
Zepler [3.9K]

Answer:

The polygon has 9 sides ⇒ D

Step-by-step explanation:

This is a tricky question

∵ The shaded figure is a quadrilateral

∴ The sum of the measures of its angles is 360

∵ Its angles are <u>x, y, and two vertices of the polygon</u>

∵ All angles of the polygon are equal in mesures

∴ x + y + m of 2 vertices = 360°

∵ x + y = 80

→ Substitute the value of x + y above by 80

∴ 80 + m of 2 vertices = 360

→ Subtract 80 from both sides

∴ m of 2 vertices = 280

→ Divide the two sides by 2

∴ m of 1 vertex = 140°

∴ The measure of each angle of the polygon is 140°

<em>The sum of the measures of the </em><em>interior angle and the exterior angle</em><em> at any vertex of the polygon is </em><em>180°</em>

∵ m of interior ∠ + m of exterior ∠ = 180° ⇒ at any vertex

∴ 140 + m of exterior ∠ = 180°

→ Subtract 140 from both sides

∴ m of exterior ∠ = 40°

∴ The measure of each exterior angle is 40°

<em>The </em><em>sum </em><em>of the measures of the </em><em>exterior angles</em><em> of any polygon is </em><em>360°</em>

∵ The measure of each exterior angle of the given polygon is 40°

∴ The number of the angles of the polygon = 360 ÷ 40 = 9

∵ The number of the angles of the polygon = the number of its sides

∴ The polygon has 9 sides

4 0
3 years ago
Y=sech(tan‐¹x) find the derivative ​
Klio2033 [76]

Recall that

d/dx sech(x) = - sech(x) tanh(x)

d/dx tan⁻¹(x) = 1/(1 + x²)

Then by the chain rule,

dy/dx = - sech(x) tanh(x) / (1 + x²)

8 0
3 years ago
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