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miv72 [106K]
3 years ago
7

What is the remainder when 1,095 is divided by 7? A) 3 B) 4 C) 5 D) 6

Mathematics
2 answers:
Rina8888 [55]3 years ago
5 0
The answer is a or 3

madreJ [45]3 years ago
5 0
When you divide 1095 and 7 you get;

1095 / 7 = 156 

156 * 7 = 1092

1095 - 1092 = 3.
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Explain the procedure (but don't create the graph) for graphing the quadratic function in factored form f(x) = (x - 2)(x + 4) us
hichkok12 [17]

Answer:  You will need to find the x-intercepts and the vertex

Step-by-step explanation: Use the information in the factors and some formulae.

The x- intercepts are the points where the parabola crosses the x-axis. The x-axis is where y = 0

Set each factor equal to 0 and solve:

x-2=0, so x = +2 and x +4 = 0, so x = -4    (you would plot these if creating the graph)

To find the vertex you need the Vertex Formula: x = -b/2a

b is the coefficient of the x term in the middle of the quadratic equation; you can just do the O and I parts of FOIL to get b:  -2x + 4x = 2x  You know a = 1 because x²  will have the implied (missing)(1).

Put the numbers in the Formula: x = -b/2a   x = -(2)/2(1)  -2/2 = -1  

-1 is the "x-value" of the vertex.  

The y value is the 'c' in the quadratic formula. You get that from the  L part of FOIL   -2 × 4 = -8 .

So, your coordinates for the vertex:  ( -1, -8 )

If you were creating a graph, you would plot that point, then draw the parabola starting there and through the x-intercepts.  

5 0
3 years ago
5n + 5= 45 Please help...<br><br>constant=_, coefficient=_
madreJ [45]

Answer:

Step-by-step explanation:

5n + 5 = 45

Coefficient of n = 5

Constant =  5  & 45

8 0
2 years ago
Read 2 more answers
Please help me <br> math math math
olga nikolaevna [1]
Your answer A12/A6= A6
4 0
2 years ago
Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).
ale4655 [162]

Answer:

The required equation is:

y = -\frac{3}{2}x+9

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)

We will find the slope of given line segment first

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}

Let m_1 be the slope of perpendicular bisector then,

m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}

Now the mid-point

(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

y = m_1x+b

Putting the value of slope

y= -\frac{3}{2}x+b

Putting the point (2,6) to find the y-intercept

6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9

The equation is:

y = -\frac{3}{2}x+9

7 0
2 years ago
Use the following graph of the function f(x) = 2x3 + x2 − 3x + 1 to answer this question: graph of 2x cubed plus x squared minus
Zina [86]

Answer:

7

Step-by-step explanation:

f(x) = 2x^3 + x^2 − 3x + 1

f'(x) = 6x^2 + 2x − 3

The slope at -2:

f'(-2) = 6(-2)^2 + 2(-2) − 3

f'(-2) = 24 + -4 − 3

f'(-2) = 17

-----

The slope at 0:

f'(0) = 6(0)^2 + 2(0) − 3

f'(0) =  − 3

The average rate of change is (17+(-3))/2, or 14/2, or 7

                           

6 0
2 years ago
Read 2 more answers
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