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3 years ago

Plz help for simple math

Mathematics

2 answers:

faltersainse [42]3 years ago

6 0

Answer:

y = -2x - 4

(-6) y = (-2 *-6) - 4 = 8

(-3) y = (-2 * -3) - 4 = 2

(0) y = (-2 * 0) - 4 = -4

(3) y = (-2 * 3) - 4 = -10

Step-by-step explanation:

Alinara [238K]3 years ago

5 0

Answer:

y = -2x - 4

Step-by-step explanation:

(-6) y = (-2x-6) - 4 = 8

(-3) y = (-2x-3) - 4 = 2

(0) y = (-2x0) - 4 = -4

(3) y = (-2x3) - 4 = -10

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The tables represent two linear functions in a system,

Alenkasestr [34]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

First table:

(-4, 26), (0, 10) → b = 10

$m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4$

$\boxed{y=-4x+10}$

Second table:

(-4, 14), (0, 2) → b = 2

$m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3$

$\boxed{y=-3x+2}$

We have the system of equations:

$\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22$

5 0

3 years ago

A group of students made trees out of paper for a scene in a school play. The trees are shaped like square pyramids. The base is

Readme [11.4K]

Answer:

26.4ft²

Step-by-step explanation:

I first converted the centimeter values to feet

140Cm x 30.48 = 4.59

70cm x 30.48 = 2.3

the paper required is approximately equal to the area of the pyramid.

area of pyramid is equal to area of triangle + base²

Are of triangle = 1/2 x b xh

= 4 x 1/2 x4.59x2.3 + (2.3)²

= 2 x 4.59 x 2.3 + 5.29

= 26.4 feet²

therefore it will take 26.4 feet² paper to make each tree, including the bottom.

8 0

3 years ago

The radius of a circle is 44 centimeters. What is the circle's circumference?

Kay [80]

Answer:

276

Step-by-step explanation:

Circumference = 2πr

= 276

7 0

3 years ago

A machine makes errors in a certain operation with probability p. There are two types of errors. The fraction of errors that are

Crank

Answer:

Step-by-step explanation:

The concept of binomial probability is applied.

Mathematically from binomial probability ; (nCx)px(1−p)(n-x)

The detailed step by step is as shown in the attachment

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3 years ago

One Sunday, 120 days before Christmas, Aldsworth store publishes an advertisement saying ‘120 shopping days until Christmas'. Al

Lena [83]

Answer:

(a)18

(b)1089

(c)Sunday

Step-by-step explanation:

The problem presented is an arithmetic sequence where:

First Sunday, a=1
Common Difference (Every subsequent Sunday), d=7

We want to determine the number of Sundays in the 120 days before Christmas.

(a)In an arithmetic sequence:

$\text{The nth term}, T_n=a+(n-1)d\\T_n \leq 120\\$Therefore:$\\1+7(n-1) \leq 120\\1+7n-7\leq 120\\7n-6\leq 120\\7n\leq 120+6\\7n\leq 126\\$Divide both sides by 7$\\n\leq 18$

Since the result is a whole number, there are 18 Sundays in which Aldsworth advertises.

Therefore, Aldsworth advertised 18 times.

(b)Next, we want to determine the sum of the first 18 terms of the sequence

1,8,15,...

$\text{Sum of a sequence}, S_n=\frac{n}{2}( 2a+(n-1)d)\\S_{18}=\frac{18}{2}( 2*1+(18-1)*7)\\=9(2+17*7)\\=9(2+119)\\=9*121\\S_{18}=1089$

The sum of the numbers of days published in all the advertisements is 1089.

(c)SInce the 120th day is the 18th Sunday, Christmas is on Sunday.

6 0

3 years ago