All categories

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.

You might be interested in

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE

EleoNora [17]

Answer:

0, 10

Step-by-step explanation:

The given function is:

$g(y) = \frac{y-5}{y^2-3y+15}$

According to the quotient rule:

$d(\frac{f(y)}{h(y)}) = \frac{f(y)*h'(y)-h(y)*f'(y)}{h^2(y)}$

Applying the quotient rule:

$g(y) = \frac{y-5}{y^2-3y+15}\\g'(y)=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}$

The values for which g'(y) are zero are the critical points:

$g'(y)=0=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}\\(y-5)*(2y-3)-(y^2-3y+15)=0\\2y^2-3y-10y+15-y^2+3y-15\\y^2-10y=0\\y=\frac{10\pm \sqrt 100}{2}\\y_1=\frac{10-10}{2}= 0\\y_2=\frac{10+10}{2}=10$

The critical values are y = 0 and y = 10.

5 0

3 years ago

You and three friends are planning a trip. You want to keep the cost below $90 per person. Write and solve an inequality that re

velikii [3]

Answer: x < 360

Step-by-step explanation:

Let x be the total cost for the trip.

And, Here the total number of person = 4

Therefore, the cost for each person = x/4

And, According to the question, The cost must below $90 per person.

Therefore, x/4 < 90

⇒ x < 360

Which is the required inequality for the situation.

8 0

3 years ago

The function f(x) is graphed on the coordinate plane.

soldier1979 [14.2K]

Answer:

f(-4) = 4

Step-by-step explanation:

Fro the graph attached,

We have to calculate the value of the function at x = -4.

As we can find from the graph at the input value x = -4, output value of the function is f(-4) = 4

Therefore, f(-4) = 4 will be the answer.

5 0

2 years ago

Subtract. Write your answer in simplest form. 3\15 - 2\5

fiasKO [112]

Answer 1: 2/5= 6/15 3/15-6/15= -3/15
Answer 2: 7/10= 14/20
1/4= 5/20
difference- 9/20
Answer 3:
2 5/6= 17/6
3 2/5= 17/5
17/6 = 85/30
17/5= 102/30
187/30
Answer 4:
11/2
9/7
77/14
81/14
-4/14
Answer 5:
23/4
35/12
69/12+35/12= 104/12= 26/3

8 0

3 years ago

I need someone help please

prisoha [69]

Answer:area is the sides number you x them

Step-by-step explanation:you do it

6 0

3 years ago