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2 years ago

Can you help? Please show work. Thank You.

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

8 0

Answer:

C. x+y=5; -2x+y=2

Step-by-step explanation:

The slope of the line in Table A is ...

m = (y2 -y1)/(x2 -x1)

m = (-6 -(-4))/(11 -9) = -2/2 = -1

The slope of the line in Table B is ...

m = (-8 -20)/(-5 -9) = -28/-14 = 2

We observe that the slopes have <em>different signs</em>. This means the signs of the terms in the standard form equation will be different from one equation to the other. The only pair of equations for which that is true is the pair in choice C.

Trying these equations on the first line of the tables, we see they match the table values.

Table A: 9 +(-4) = 5 . . . true

Table B: -2(9) +20 = 2 . . . true

_____

<em>Additional comment</em>

Neither equation in choice A has the correct slope for either table. The equations in choice B are inconsistent, both having slope -1, but different y-intercepts.

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State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each o

ser-zykov [4K]

9514 1404 393

Answer:

ΔLMN ~ ΔLFG; scale factor 7/3

Step-by-step explanation:

The ratios of side lengths, shortest to longest are ...

FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)

MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)

The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...

MN/FG = 56/24 = 7/3

7 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP GIVING BRAINLIEST

Lady_Fox [76]

Answer:

Part 1) $y=32.5x+11.95$

Par 2) see the explanation

Part 3) $\$401.95$

Step-by-step explanation:

Part 1) Write an equation in slope intercept form to represent this problem

Let

x ----> the number of tickets

y ---> the total cost

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept (one-time processing fee)

In this problem we have

$b=\$11.95$

ordered pairs (4,141.95) and (7,239.45)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values in the formula

$m=\frac{239.45-141.95}{7-4}$

$m=\frac{97.5}{3}$

$m=32.5$

substitute the values in the linear equation

$y=32.5x+11.95$

Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?

a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket

$m=\$32.5\ per\ ticket$

b) The y-intercept is the value of y when the value of x is equal to zero

In this context, the y-intercept represent the one-time processing fee

$b=\$11.95$

Part 3) Use the equation to find how much Alan would have to pay for 12 tickets

For x=12 tickets

substitute in the linear equation

$y=32.5(12)+11.95$

$y=\$401.95$

3 0

3 years ago

Greatest common factor 48x^5,39x^6

lora16 [44]

4,853,096 is the number

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3 years ago

3x2 + 2(x2 – 20) = 16 - 2x2

lana66690 [7]

3x(2) + 2(2x - 20) = 16 - 2x(2)

6x + 4x - 40 = 16 - 4x

10x - 40 = 16 - 4x

14x - 40 = 16

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Hope this helps! ;)

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3 years ago

What is the ratio of chicks to dogs? Answer in fraction form.

Georgia [21]

Answer:

The ratio of cats to dogs is 2:1 The ratio of dogs to cats is 1:2 or half as many dogs as cats. There are six cats and three dogs.

Step-by-step explanation:

one and two

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2 years ago