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astra-53 [7]
3 years ago
15

A factor that is common to all terms of an expression or to two or more expressions

Mathematics
1 answer:
avanturin [10]3 years ago
4 0

Answer:

el1

<h3>elnumero e s            1</h3>
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Taylor works at a garden shop that sells flower pots. One kind of flower pot has a rim height of 6 centimeters and a planting he
Tom [10]

Answer:

The simplified algebraic expression to represent the height, h, of a stack in cm of n flower pots is h = 6·n + 22

Step-by-step explanation:

The given information are;

The rim height of one kind of flower pot = 6 cm

The planting height of the flower pot = 22 cm

Therefore, the total height of the flower pot = 22 + 6 = 28 cm

Stacking the flower pots of a single kind will give a linear relationship of the form, y = m·x + c between the height of the stack and the number of flower pots in the stack

Where;

m = The slope or the rate of change of the height with the number of flower pots in a stack which can be found from two points in the given table of values

c = The y-intercept or height at the start of the first stack

From the table of  values, for the first and the last points, we have;

m = (52 - 28)/(5 - 1) = 24/4 = 6

Which gives;

h - 52 = 6×(n - 5)

h = 6·n - 30 + 52 = 6·n + 22

h = 6·n + 22

Where;

h = The height of stack in cm

n = The number of flower pots

Therefore, by comparing to the general form of the equation of a straight line, y = m·x + c, the y-intercept, c = 22

The simplified algebraic expression to represent the height of a stack of n flower pots is therefore given as h = 6·n + 22.

7 0
3 years ago
Geometry question, I need help with this.
yaroslaw [1]

<u>1st transformation:</u> A vertical translation of the figure down by 8 units

<u>2nd transformation: </u>Shows a reflection on both axis and vertical translation up the plane by 8 units

<h3>Transformation of coordinates</h3>

Transformation is a way of changing the position of an object on an xy-plane.

For the translation

(x, y)-> (x, y-8)

It shows a vertical translation of the figure down by 8 units while the translation;

(x, y - 8) -> (-x, -y)

shows a reflection on both axis and vertical translation up the plane by 8 units

Learn more on transformation here: brainly.com/question/1462871

#SPJ1

7 0
1 year ago
Given logbM=3.2 logbN=-1.5 and logbP=2.4 find the value of logb(m^2N/p)
artcher [175]
The formulas:
\log_a (xy)=\log_a x + \log_a y \\&#10;\log_a (\frac{x}{y})=\log_a x - \log_a y \\&#10;\log_a (x^n)n \log_a x

Expand the expression:
\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p

Plug the values into the expression:
\log_b m=3.2 \\ \log_b n=-1.5 \\ \log_b p=2.4 \\ \\&#10;2 \log_b m+\log_b n - \log_b p=2 \times 3.2-1.5-2.4=6.4-3.9=2.5 \\ \\&#10;\boxed{\log_b (\frac{m^2n}{p})=2.5}
3 0
3 years ago
Candy's Sweets Company charges $1.15 per pound to ship candy.
Alex73 [517]

Answer:

Part A: c = 1.15p

c = 1.15(2) c = 2.30

Part B: c = 0.9p

c = 0.9(4) c = 3.60

8 0
2 years ago
Read 2 more answers
Which of the following is a non-linear equation?
Lana71 [14]

Answer:

iv ; xy + x/y = 3

Step-by-step explanation:

A non linear equation is one in which there is no product of two different variables or the same variable

What this mean is that we have the highest polynomial power as 1 or we simply have polynomials of degree 1

Looking at the given options, we can see the product xy

What this mean is that the polynomial is of degree 2 and that makes the equation a non linear as we have a polynomial of more than 1 degree

8 0
2 years ago
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