20 points


Determine whether the statement is true or false. If the statement is​ false, make the necessary​ change(s) to produce a true statement.


To solve the system below by substitution, replace y in the second equation with 7−6x.


6x−y=7


2x+y=5


This statement is true.


This statement is false. To solve the system by​ substitution, replace x in the second equation with 7−6x.


This statement is false. To solve the system by​ substitution, replace y in the first equation with 7−6x.


This statement is false. To solve the system by​ substitution, replace y in the second equation with 6x−7.

Given:

The function is

[tex]g(x)=(\dfrac{1}{5})^x[/tex]

To find:

The correct ordered pairs.

Solution:

We have,

[tex]g(x)=(\dfrac{1}{5})^x[/tex]

For x=3,

[tex]g(3)=(\dfrac{1}{5})^3[/tex]

[tex]g(3)=\dfrac{1}{125}[/tex]

So, the ordered pair is [tex](3,\dfrac{1}{125})[/tex].

For x=-2,

[tex]g(-2)=(\dfrac{1}{5})^{-2}[/tex]

[tex]g(-2)=(5)^2[/tex]             [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]

[tex]g(-2)=25[/tex]

So, the ordered pair is [tex](-2,25)[/tex].

For x=1,

[tex]g(1)=(\dfrac{1}{5})^1[/tex]

[tex]g(1)=\dfrac{1}{5}[/tex]

So, the ordered pair is [tex](1,\dfrac{1}{5})[/tex].

For x=-1,

[tex]g(-1)=(\dfrac{1}{5})^{-1}[/tex]

[tex]g(-1)=(5)^1[/tex]             [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]

[tex]g(-1)=5[/tex]

So, the ordered pair is (-1,5). This is the correct answer.

Therefore, the correct option is D.

Answer: 49.45

Step-by-step explanation:

From the information, we are informed that June was thinking of a number and then doubles it and gets and gets an answer of 98.9.

Let the number be represented by x.

Since she doubles it, thus implies that:

2x = 98.9

x = 98.9 / 2

x = 49.45

The number is 49.45

Answer:

B

Step-by-step explanation:

You see the long side is right on the x axis so the L point will be the same length from itd rotation. Its rotation will have the long side laying along the Y axis and making it (2, 6)

Answer:

whats up , whats the question ?

Step-by-step explanation:

Answer: 6%

Step-by-step explanation:

Number of students that wore a silly hat = 33

Number of students that students that did not = 517

Total number of students = 33 + 517 = 550

The percentage of the students that wore a silly hat

= 33/550 × 100

= 6%

Answer:

Step-by-step explanation:

36. (4,1)

x-axis(4,-1)

y-axis(-4,1)

37.(-2,3)

x-axis(2,-3)

y-axis(-2,3)

38.(2,-5)

x-axis(-2,5)

y-axis(2,-5)

39.(-3.5, -2.5)

x-axis(-3.5,2.5)

y-axis(3.5,-2.5)

Please correct me I am wrong

Here is the y-axis formula (-x,y)

Here is the x-axis formula(x,-y)

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

15.25

Step-by-step explanation:

Answer:

First  you would have  to find the unit  price for the dog food so you would do 10.50 ÷ 3 to get 3.5, so for one bag it costs $3.50, next you would multiply 3.50 by 5 to get 17.5, so your answer would be $17.50

Answer:

100%     -     300

------------------------

10%      -      x

[tex]100x=300*10\\100x=3000\\x=\frac{3000}{100}\\x=30[/tex]

Answer:

may I try it can be

Step-by-step explanation:

10% of 300

10÷100x300

0.1×300

30

Answer:

9c + 45

Step-by-step explanation:

The distributive property also known as distributive law of multiplication and division.

In the given expression, distributive law of multiplication is applied where we can multiply first before addition.

Given

9(c+5)

Using distributive property

9(c+5)

= (9 × c) + (9 × 5)

= 9c + 45

9(c+5) = 9c + 45

Answer:

7 / 12

Step-by-step explanation:

(0 + 1/2 + 1/2 + 1/2 + 1 + 1) / 6 = 7 / 12 or 0.58

Answer:

5/8 =x

Step-by-step explanation:

9=8/5(x+5)

Multiply each side by 5/8

5/8 *9=  5/8 *8/5(x+5)

45/8 = x+5

Subtract 5 from each side

45/8 - 5 = x+5-5

45/8 -5 = x

Get a common denominator

45/8 - 5*8/8 =x

45/8 - 40/8 =x

5/8 =x

Answer:

16

Step-by-step explanation:

Pythagoras theorem was used

Answer:

the actual answer is 12.7777777778 but you can break it down to about 12.8

Step-by-step explanation:

Hope this helps :)

Answer:

it’s either no slope or 0, I dont exactly know which one you would put in to be correct

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Δ NLP and Δ NMO are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{NL}{NM}[/tex] = [tex]\frac{NP}{NO}[/tex] , substitute values

[tex]\frac{15+x}{15}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )

20(15 + x) = 420 ( divide both sides by 20 )

15 + x = 21 ( subtract 15 from both sides )

x = 6

Answer:

They are parallels

Step-by-step explanation:

Step-by-step explanation:

So, we will take one of the numbers = x

And the other is 12 more than 3 times it, so = 3x + 12

So they said if we add them, we will get 4

So x + (3x + 12) = 4

4x + 12 = 4

4x = 4 - 12

4x = - 8

x = - 8 ÷4

x = - 2

So one of the numbers x = - 2

The other is 3x + 12

So x = - 2

3x +12 = 3(-2) + 12

= 6

So the 2 numbers = 6 and - 2

Lets check!

6 + (-2) = 4

So it's right!

Answer:

I think the answer is C.

Step-by-step explanation:

Answer:

170

Step-by-step explanation:

Let x be the original price

x* .20 is the decrease

x - .20x = new price

.80x = new price

.8x = 136

Divide each side by .8

.8x/.8 = 136/.8

x =170

Answer:

7

Step-by-step explanation:

Answer:

is c because i had that problem already

Answer:

g o o g l e states, "The PSAT/NMSQT stands for the National Merit Scholarship Qualifying Test, which students take as a sophomore or junior."

Step-by-step explanation:

Answer:

The PSAT stands for Practice Standardized Aptitude Test.

Step-by-step explanation:

This test is meant to evaluate a student's college-specific skills.

Answer:

Step-by-step explanation:

Given function:

To find

Solution:

Maximum value is obtained at vertex as a < 0

Vertex coordinate of x is:

Solving for b:

See attached

Answer:

3)0.4 and 1.8

Step-by-step explanation:

:):):):):):):);):):)

Answer:

[tex]\huge\boxed{-10<x<0\to x\in(-10;\ 0)}[/tex]

Step-by-step explanation:

[tex]5<-2x+5<25\qquad|\text{subtract 5 from all sides}\\\\0<-2x<20\qquad|\text{change all signs}\\\\0>2x>-20\to -20<2x<0\qquad|\text{divide all sides by 2}\\\\-\dfrac{20}{2}<\dfrac{2x}{2}<\dfrac{0}{2}\\\\-10<x<0[/tex]

Answer:

1. x = 9°

angleA=36°

angleB=54°

2. x = 28°

angleA=28°

angleB=62°

Step-by-step explanation:

1. 6x + 4x = 90° (By ASP)

2. 2x + 6 + x = 90° (By ASP)

Answer:

the slope is 3

Step-by-step explanation:

slope formula [tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m\frac{5-(-1)}{0-(-2)}[/tex] = 3

Answer:

pic1 a pic2 d

Step-by-step explanation:

i did this