Translate the sentence to an equation x minus 6 is 7

3 (5р — 3) = 5 (p — 1)

Akimi4 [234]

Answer:

15p-9=5p-5

Step-by-step explanation:

i expanded the brackets I think this is correct if you wanted to expand it

8 0

2 years ago

Alicia bought a notebook and several erasers at the student store. The graph shows the relationship between the total cost of he

melomori [17]

<h3><u>Answer:</u></h3>

Option: C is the correct answer.

$ 1.50 is the cost of 1 eraser.

<h3><u>Step-by-step explanation:</u></h3>

Alicia bought a notebook and several erasers at the student store.

Let the cost of 1 eraser=$ x.

Now from the scatter plot we could see that when Alicia did not bought any eraser then her total cost =$ 2.

That means cost of a notebook=$ 2.

Now when she buys a notebook and two eraser then she pays=$ 5.

i.e.

Total cost=cost of notebook+ 2× cost of 1 eraser

Total cost=cost of notebook+2×x

i.e.

5=2+2x

⇒ 2x=5-2

⇒ 2x=3

⇒ x=1.5

Hence, cost of one eraser is:

$ 1.50

6 0

3 years ago

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245 tickets in 5 days what is the unit rate

MArishka [77]

Answer:

245/5 = 49 tickets per day

8 0

2 years ago

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Can someone answer each step of this correctly?

Burka [1]

About Slope - Intercept Form:

y = mx + b
m is the slope
b is the y-intercept

About Standard Form:

Ax + By = C
A & B & C are integers
A & B are both non-zero
This form is good to use when wanting to find the x & y intercepts of a line

About Point - Slope Form:

Y - Y1 = m (x -X1)
Y1 & X1 is a point on the line
The form allows you to identify the slope & the point on the line

Other Info:

Remember, y comes before the x
An ordered pair from your problem: (-3,1), -3 is x & 1 is y & x is before the y
An ordered pair from your problem: (3,5), 3 is x & 5 is y & x is before the y
For the graph, the vertical line is y

For the graph, the horizontal line is x

Hope this information helps!!! :)

5 0

3 years ago

Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati

amid [387]

In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
$f(x) = a(x - x_1)(x-x_2)(x-x_3)$

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form $(x_n , 0)$

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say $x_1 = 2 , x_2 = 3 , x_3 = 5$

So required equation is
$f(x) = a (x-2)(x-3)(x-5)$
              $= a[(x^2 - 2x - 3x + 6)(x-5)]$
              $= a[(x^2 - 5x+6)(x-5)]$
              $= a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)$
              $= a(x^3 - 10x^2+31x-30)$
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
$-5= a (0-0+0 - 30)$
$-5 = -30a$
$a = \frac{-5}{-30} = \frac{1}{6}$
So required equation of cubic polynomial is
$f(x) = \frac{1}{6}(x^3 -10x^2+31x-30)$

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.

4 0

3 years ago

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