What role does substitution play when determining whether or not a given value is a solution to an equation or an inequality?

Answers

Answer 1

Answer:

Help verify values

Step-by-step explanation:

I basically help prove that the value fits and verifies that equation or inequality. By substituting a value for the variable within the equation or inequality and then solving it as a regular expression it should correctly output the same value on the other side of the equation or make the inequality true. For example, using the following inequality...

3x + 2 > 4

We can substitute the variable x for 2 and solve the inequality, if the inequality is true then we know that the value 2 is a correct and verified value.

(3*2) + 2 > 4

6 + 2 > 4

8 > 4  ... True


Related Questions

this is due in 15 minutes pls help me lol thx

Answers

Answer:

ITS A

Step-by-step explanation:

PLZ GIVE BRAINLEIST

2/3 i think, hope i answered in time, gl

in how many ways can a supermarket chain select 3 out of 12 possible sites for construction of a new supermarket?

Answers

Answer:

its 220

Step-by-step explanation:

There are 220 ways supermarket chains can select 3 out of 12 possible sites for the construction of a new supermarket.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Supermarket chains select 3 out of 12 possible sites for the construction of a new supermarket.

As we know,

[tex]\rm C(n, r) =\dfrac{n!}{( r! (n - r)! )}[/tex]

n = 12

r = 3

[tex]\rm C(12, 3) =\dfrac{12!}{( 3! (12 - 3)! )}[/tex]

C(12, 3) = 220

Thus, there are 220 ways supermarket chains can select 3 out of 12 possible sites for the construction of a new supermarket.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ2

HURRY I NEED HELPPPPP !!!!
Write each expression as a single power of 10 .

A. 10^(−3) ⋅ 10^(−2)

B. 10^4 ⋅ 10^(−1)

C. 10^5/10^7

D. (10^(−4))^5

E. 10^(−3) ⋅ 10^2

F. 10^y / 10^5

Answers

Answer:

A. 10^(−3) ⋅ 10^(−2) = 10^-5

B. 10^4 ⋅ 10^(−1) = 10^3

C. 10^5/10^7  = 10^-2

D. (10^(−4))^5 = 10^-20

E. 10^(−3) ⋅ 10^2 = 10^-1

F. 10^y / 10^5 = 10^(y-5)

What is the best measure of center for this data set?
{101, 2, 108, 104, 102, 107, 109, 102}

A.mean because there is an outlier

B.median because there is an outlier

C.mean or median because there is no outlier

D.mode because there is an outlier

Answers

Answer:

it is B the median hope this helps :)

Step-by-step explanation:

Answer:

A. Mean

Step-by-step explanation:

When there is an outlier, the mean is the best way to figure out the average. Median doesn't work because it determines the exact middle, and the outlier (that 2) would affect it greatly, and the mode doesnt work, because it is the value that apears most in the data set, but just because it appears most doesnt mean its the average. In this case the mode is 102, but that is not the average. I hope this helps :)

Find the value of x. Round to the nearest tenth. 9 4 x = [?]​

Answers

Answer:

26.4° (nearest tenth)

Step-by-step explanation:

[tex]\boxed{sinθ = \frac{opp}{hyp} }[/tex]

[tex]sinx = \frac{4}{9} [/tex]

Taking the inverse of sine on both sides:

[tex]x = sin^{ - 1} ( \frac{4}{9} )[/tex]

x= 26.4° (nearest tenth)

somebody help me fast pleaseee 5 rate

Answers

Answer:

(7m+4m+8m)×219m×2=38m

b) Select all expressions that can be used to find 85% of 280.
A. O
8.5
10
280
B.
0.85
100
280
c. O
85
100
• 280

Answers

Answer:

238

Step-by-step explanation:

85%of 280 is 238 ok.......

Expand (- 3a - 5x) (- 2b - 4y).​

Answers

Answer:  −3a(−2b−4y).−5x(−2b−4y). to this  

6ab+12ay+10bx+20xy

Step-by-step explanation: hope this helps :)

Answer:

( −3a − 5x ) ( −2b − 4y )

= ( −3a + − 5x ) ( −2b + −4y )

=( −3a ) ( −2b ) + ( −3a ) ( −4y ) + ( −5x ) ( − 2b ) + ( − 5x ) ( − 4y )

= 6ab + 12ay + 10bx + 20xy

Hope it helps

Please mark me as the brainliest

Thank you

Order the steps to solve the equation log(x2 - 15) = log(2x) form 1 to 5.
x² – 2x - 15=0
Potential solutions are -3 and 5
x² – 15 = 2x
X-5 = 0 or x + 3 = 0
(x - 5)(x + 3) = 0

Answers

step 1: x²-15=2x
step 2: x²-2x-15=0
step 3: (x-5)(x+3)=0
step 4: x-5=0 or x+3=0
step 5: x=5 of x=-3

Answer:

Took L for my gang   keep working hard

Step-by-step explanation:

A box with a base that had an area of 144 square inches. The box measured 9 inches high. What is the volume of the box?

Answers

Answer:

1152 in^3

Step-by-step explanation:

Given data

Area of the box= 144 in^2

Height = 9 in

Volume=??

We know that

volume= Area* Height

substitute

volume= 144*8

volume= 1152 in^3

Hence the volume will be 1152 in^3

PLEASE HELP ME THANK YOU IF U DO

Answers

Answer: Acceleration

Step-by-step explanation:

express the product in the simplest form
7/4 x 12
i will mark u brainly and give u more points

Answers

Answer:

21

Step-by-step explanation:

Set it up as 7/4 x 12/1.  Multiply the numerators and denominators.  That equals 84/4 which simplifies to 21.

help anyone giving 5 stars

Answers

Answer:

4,5 in

Step-by-step explanation:

1. The function f(x) = -0.05(x2 - 26x - 120) represents the path coming out of the cannon. If x is the horizontal distance from the cannon, what does f(x) represent? (1 point)

Answers

Answer:

f(x) represents the vertical height of the cannon

Step-by-step explanation:

The given function is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

Given that 'x' represent the horizontal path of the cannon and the function describes the path of the cannon, we have that the vertical height reached by the cannon as it moves along the horizontal path is given as the function f(x)

Therefore, we have;

f(0) = -0.05·(0² - 26×0 - 120) = -0.05 × -120 = 6

f(0) = 6

The starting height of the cannon = 6

The maximum height reached by the cannon is given as follows;

f'(x) = d(-0.05·(x² - 26·x - 120))/dx = -0.05·d(x² - 26·x - 120)/dx = -0.05×(2·x - 26)

f'(x) = -0.05×(2·x - 26)

f'(x) = 0 At maximum height, therefore, we have;

-0.05×(2·x - 26) = 0

(2·x - 26) = 0

2·x = 26

x = 26/2 = 13

x = 13

f(13) = -0.05·(13² - 26×13 - 120) = 14.45

The maximum height = 14.45

Therefore;

f(x) = The vertical height of the cannon

NEED HELP ASAP! TY IN ADVANCE <3 DO THE TABLE OF VALUES AS WELL!

Answers

Answer:

Domain {-2, 0, 1, 6}

Range {13, 5, 7, 77}

Step-by-step explanation:

table of values

Domain {-2, 0, 1, 6}

Range {13, 5, 7, 77}

Answer:

Step-by-step explanation:

[tex]y_{1}[/tex] = 2( - 2 )² + 5 = 2(4) + 5 = 13

[tex]y_{2}[/tex] = 2( 0 )² + 5 = 5

[tex]y_{3}[/tex] = 2( 1 )² + 5 = 7

[tex]y_{4}[/tex] = 2( 6 )² + 5 = 77

Range: { 5, 7, 13, 77 }

Henry's height is 3 inches more than one-half of Charlie's height. If Henry is 24 inches tall, how tall is Charlie?

Answers

Answer:

Charlie is 20.5 inches tall

Step-by-step explanation:

Henry: 24 inches

            3 and 1/2 inches taller than Charlie

Charlie: 24 - 3.5 inches

            20.5 inches

Answer:

9 inches

Step-by-step explanation:

henry = 3 inches more than 1/2 of charlie

24=henry

24/2= 12-3=9 inches hope this helps

2/3x=-20 A -60 B -30 C -10 D 10

Answers

Answer:

B. -30

Step-by-step explanation:

[tex]x = -20\cdot \frac{3}{2} = -30[/tex]

are the triangles below similar? yes or no?

Answers

Answer:

Yes. They all have the same angle measurements making them similar.

what is the positive solution to this equation?
4x²+12x=135

Answers

4x^2 + 12x - 135 =0
Using calculator mode 3 3 or formula
X= 9/2 or x = -15/2

Answer:

x = 4.5

Step-by-step explanation:

Solve for x by using the quadratic formula

x = -12 + or - [tex]\sqrt{144+2160}[/tex] / 8

so (-12 + 48) / 8 or (-12 - 48) / 8

so 36/8 or -60/8, they just want the positive solution so x = 4.5

Jack correctly wrote another expression, 100−2t 100 - 2 t , to find the number of tickets Kate has now. Use the drop-down menus to explain what each part of Kate's and Jack's expressions mean.

Answers

Complete question :

Kate had 50 tickets to use for rides at the fair. She lost some of them. Her dad doubled the tickets she had left. Kate wrote the expression 2(50−t) to find the number of tickets she has now, where t t is the number of tickets she lost. Jack correctly wrote another expression, 100−2t, to find the number of tickets Kate has now. Use the drop-down menus to explain what each part of Kate's and Jack's expressions mean.

Answer:

50 means Kate's initial number of tickets

t = number of tickets she lost

2 = multiple by which her dad gave ; two times the number of her remaining tickets.

100 = double the number of initial tickets

2t = two times the number of tickets lost

Step-by-step explanation:

Kate's expression :

2(50 - t)

50 means Kate's initial number of tickets

t = number of tickets she lost

2 = multiple by which her dad gave ; two times the number of her remaining tickets.

Jack's expression:

100 - 2t

Jack's expression is an expanded for of Kate's equation

100 = double the number of initial tickets

2t = two times the number of tickets lost

2(50 - t) :

(2 * 50) - (2 * t)

100 - 2t

In a certain country the heights of adult men are normally distributed with a mean of 69 inches and a standard deviation of 2.2 inches. The country's military requires that men have heights between 64.6 inches and 73.4 inches.

Answers

Complete Question

In a certain country the heights of adult men are normally distributed with a mean of 69 inches and a standard deviation of 2.2 inches. The country's military requires that men have heights between 64.6 inches and 73.4 inches.

What percentage of this country's men are eligible for the military based on height?

Answer:

95.45 %

Step-by-step explanation:

We solve using z score formula

z-score iis z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 69

σ is the population standard deviation = 2.2

For x= 64.6 inches

z = 64.6 - 69/2.2

z = -2

Probability value from Z-Table:

P(x = 64.6) = 0.02275

For x= 73.4 inches

z = 73.4 - 69/2.2

z = 2

Probability value from Z-Table:

P(x<73.4) = 0.97725

The probability of this country's men are eligible for the military based on height is calculated as:

p(x = 73.4) - p( x = 64.6)

0.97725 - 0.02275

= 0.9545

Converting to Percentage is

= 0.9545 × 100

= 95.45 %

Given: m∠B = 46°; m∠C = 45°; m∠R = 46°;
m∠T = 89°

Prove: △ABC ~ △TRS

Triangles A B C and T R S are shown. Angles A B C and T R S are 46 degrees. Angle B C A is 45 degrees. Angle R T S is 89 degrees.

Melissa believes that the AA similarity theorem can prove that the triangles are similar. Which fact would be necessary in the proof?

△ABC is an acute triangle.
△TRS is larger than △ABC.
The sum of the measures of the interior angles of a triangle is 180°.
The sum of the side lengths of two sides of a triangle is greater than the third side length

Answers

Answer:

85

Step-by-step explanation: multiply

Answer:

B: Triangle R S P is similar to triangle Z X Y

C: Triangle S R P is similar to triangle X Z Y

E: Triangle R P S is similar to triangle Z Y X

Step-by-step explanation:

Johnny and his father go fishing at 5:00 AM. After motoring 6 km upstream, Johnny writes a letter to his friend, puts the letter in a bottle, and drops it into the river. The bottle floats in the current and reaches at 7:40 AM the point where Johnny and his father began their trip. If the speed of the boat in still water is 9 km/h, what is the speed of the river current?

Answers

Answer:9/2 km per hour

Step-by-step explanation:

equation,

6/9-x + 6/x=8/3

Upstream is flowing of the boat in the opposite direction of the stream. The speed of the river current is 4.5 km per hour.

Given-

Johnny and his father go fishing at 5:00 AM.

Total traveled by the Johnny and his father in upstream is 6 km.

The speed of the boat is 9 km/h.

What is upstream?

Upstream is flowing of the boat in the opposite direction of the stream.

Let x be the speed of the river current.

Time taken by the Johnny and his father to travel 6 km in upstream is ,

[tex]=\dfrac{6}{9-x}[/tex]

The time taken by the bottle to floats in the current river is,

[tex]=\dfrac{6}{x}[/tex]

As Johnny and his father start from 5:00 AM and the bottle reached to the point where Johnny and his father began their trip at 7:40 AM. Thus the total time is,

[tex]=7:40-5:00[/tex]

[tex]=2:40[/tex]

In hours,

[tex]=2\dfrac{40}{60}[/tex]

[tex]=\dfrac{8}{3}[/tex]

As the total time is equal to the sum of the Time taken by the Johnny and his father to travel 6 km in upstream and The time taken by the bottle to floats in the current river. Thus,

[tex]\dfrac{6}{9-x}+\dfrac{6}{x}=\dfrac{8}{3}[/tex]

[tex]\dfrac{6x+54-6x}{9x-x^2}= \dfrac{8}{3}[/tex]

[tex]\dfrac{27}{9x-x^2}= \dfrac{4}{3}[/tex]

[tex]x^2-9x+\dfrac{81}{4}=0[/tex]

On solving the above quadratic equation we get the positive value of the x is 4.5.

Thus the speed of the river current is 4.5 km per hour.

Learn more about the upstream here;

https://brainly.com/question/7567233


At work, Mr. Grinnell receives 20 phone calls every 60 minutes. How many calls should he expect to receive in 180 minutes?
60
80
100
40

Answers

Answer:

Use a ratio.

20/60 = x/180

180/60 = 3, so 20*3 is 60.

The answer is 60.

Answer:

60

Step-by-step explanation:

Find out how many phone calls Mr. Grinnell receives in 1 minute.

60 mins = 20

1 min = 20 ÷ 60 = 0.333

180 mins = 0.333 x 180 = 59.94

59.94 rounded to the nearest whole number = 60

1
Which is an equation of the line with slope 2 that contains the point (6,4)?
a.y= 22 - 8
1
y =
+1
b.
х
1
2
2 +4
C С.
1
y =
2
Question 2
Which is the equation of a line that passes through the point (5, 6) and has a slope of O?
a.y = 5
b.y=6
X cx=5
d. x = 6
Okoo

Answers

Answer:

Step-by-step explanation:

1. y - 4 = 2(x - 6)

y - 4 = 2x - 12

y = 2x - 8

2. y - 6 = 0(x - 5)

   y - 6 = 0

   y = 6

answer is b

Find The Volume (nearest integer):*

Answers

Answer:

3053.63 or to the nearest integer 3054

Step-by-step explanation:

Volume formula of a sphere

[tex]V=4/3\pi r^3\\V=4/3*\pi *9^3\\V= 3053.63 \\[/tex]

Rounded off = 3054

Expand to write an equivalent expression: −14(8x+12y)
Factor to write an equivalent expression: 36a−6
Pls solve these quick

Answers

Answer:

-112x-168y, 6(6a-1).

Step-by-step explanation:

-14(8x+12y)

-112x-168y

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

36a-6

6(6a-1)

Answer:

Step-by-step explanation:

yassssssss

(x^7 + 3x^6 - x^2 + 4) + (3x^7 - x^4 + 3x^2 - 9) add

Answers

4x^7 + 3x^6 - x^4 + 3x^2 - 5

Answer:

4x^7 + 3x^6 - x^4 + 2x^2 - 5

can someone help.. i’ll chose brainliest if best

Answers

Answer:week 3 and week 1

Step-by-step explanation:

Answer:

chicken

Step-by-step explanation:

One angle of an isosceles triangle measures 48°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answers

Answer:

70° and 62° could be the other angles in that isosceles triangle

Other Questions
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