Mathematics High School

Which equation below has infinite solutions?
A) 2x + 5 = 2x + 8
B) 5x – 1= 2x + 4
C) x + 9 = x + 9
D) 4x 1 = 6x + 2

Answers

Answer 1

Answer:

C) x + 9 = x + 9

Step-by-step explanation:

An equation has infinite solutions if can simplify to the format: a = a, where a is any number.

This is because it means that any value you plug into x will give you the same true equation and answer.

C meets these requirements as it is already in format a=a, but if we further simplify it, we can see how it works:

Subtract x from both sides: 9=9

Subtract 9 from both sides: x=x

Subtract (x+9) from both sides: 0=0

We can see that C has infinite solutions because any value you put in for x, it will cancel itself out when you solve it, therefore it has infinite solutions.

E.g. x=5

(5) + 9 = (5) + 9

14 = 14

E.g. x=-25

(-25) + 9 = (-25) = 9

-16 = -16

We can also answer this question by solving all the other equations:

A) 2x + 5 - 2x = 2x - 2x + 8

5 = 8

This is not true so this equation has NO solutions.

B) 5x - 2x - 1 = 2x - 2x + 4

3x - 1 + 1 = 4 + 1

3x = 5

x = 5/3 (One solution)

D) I think you've missed a sign here, but it is solvable either way to get to one solution.

Hope this helped!

Related Questions

What is the slope if you are given the following ordered pairs? (Simplify)
(-1,6) & (8,6)

Answers

Answer:

7/2

Step-by-step explanation:

y2-y1/x2-x1

(6-(-1)/8-6) = 7/2

i dont know the answer!

Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the graph of the given equation.
(4, -6), y=-3/4x+1

Answers

Answer:

[tex]y=-\frac{3}{4}x-3[/tex]

Step-by-step explanation:

The slope will be the same as the one in the given equation since they are parallel, you can substitute the x and y of the given point into the given equation, replacing the 1 with m to get m in the equation.

I hope this helps :)

What is the volume of a sphere with a radius of 30.5 cm, rounded to the nearest tenth
of a cubic centimeter?

Answers

Answer: 118846.973684 = 118847.0cm^3 it not 1.1 or 1.2

\

The volume of a sphere with a radius of 30.5 cm is, 118,786.72 cm³.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The radius of sphere = 30.5 cm

Now, We know that;

The volume of sphere = 4/3πr³

Where, 'r' is radius of sphere.

Hence, We get;

The volume of sphere = 4/3πr³

The volume of sphere = 4/3 × 3.14 × (30.5)³

The volume of sphere = 118,786.72 cm³

Thus, The volume of a sphere with a radius of 30.5 cm is, 118,786.72 cm³.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

please anybody help me to solve this question please help me​

Answers

Step-by-step explanation:

Akmal=A

Aisyah=B

Atikah=C

B=m

A=2m

C=2m+25

C-B=?

2m+25-m=

=m+25

Based on the given information and figure, what can you conclude, and why?*
(5 Points)
Given: ZP ZT, PRERT
S
Р
T
Triangle PQR congruent to Triangle SRT by ASA
Triangle PQR congruent to Triangle TSR by ASA
Triangle PQR congruent to Triangle TSR by SAS
Triangle PQR congruent to Triangle TSR by AAS

Answers

Answer:

Triangle PQR congruent to Triangle TSR by SAS

Step-by-step explanation:

Hope this helps

The radius of a circle is 3.8 feet find the diameter

Answers

Answer:

7.6

Step-by-step explanation:

radius is half the diameter so multiply 3.8 times 2.

Erik read a total of 4 books over 2 months. After belonging to the book club for 17 months, how many books will Erik have read in all? plss hep me thank you!!

Answers

Answer: 34 books

Step-by-step explanation:

Since Erik read a total of 4 books over 2 months. This means that every month, he read (4/2) = 2 books.

After belonging to the book club for 17 months, the number of books that he'll have read will be the number of books he read per month multiplied by 17 months. This will be:

= 2 × 17

= 34 books

What is the simplified form of the expression

Answers

the answer is 67/10x + 9

The answer is a fraction the numerator is 67x+90 and the denominator is 10

Step-by-step explanation:

50 points pls i need help is due in a couple hours

Answers

Answer:

G' = (3, 1).

H' = (1, 1).

Step-by-step explanation:

G is (7, -2)

New coordinates of G (7-4), -2+3)

= (3, 1)

H is (-4, 5)

H' = (-4 +5, 5 - 4)

= (1, 1).

a27=16
a
27
=
16
. What is the value for a?

Answers

I guess this is what you need, I’m sorry if it’s not

a=11

Step-by-step explanation:

b/c a27=16 then both side subtract 27

27-27=16-27then a=11

What are two numbers that multiply to 18 but add to -9?

Answers

Answer:

-6 and -3

-6 x -3 = 19

-6 + -3 = -9

Answer:

-6 x -3 = 18

-6 + -3= -9

Step-by-step explanation:

hope it helps!!

Please help me with my geometry work

Answers

-distance/length?
-line
1.Circumference is the perimeter of a circle
2. They both are the measure of the distances around each shape.

If f (-8)= 0 and f (x)= x^3-x^2-58x+112, find all the zeros of f(x) write your answer in ascending order

Answers

Answer:

The zeros in ascending order are 2, 7, 8.

Step-by-step explanation:

Since f(-8) = 0, it means that (x + 8) is a factor of the function f(x)= x³ - x² - 58x + 112.

I have attached the long division of this to get the remaining factors of the polynomial function.

The remaining factor is;

x² - 9x + 14

Using quadratic formula via a calculator, we have; x = 7 and x = 2

Thus,the zeros of the polynomial function f(x)= x³ - x² - 58x + 112 in ascending order are;

2, 7, 8

which angle is vertical to <4​

Answers

angle 1 because its across/ opposite

Answer:

<1

Step-by-step explanation:

Hope this helps :)

Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?

Answers

Answer:

d

Step-by-step explanation:

I did the test. .........................

Answer:

D

Step-by-step explanation:

I did the test :)

How do angles of depression and elevation relate when solving problems involving right triangles?

Answers

The relationship between the angle of elevation and the angle of depression is called alternate interior angles theorem. As such, these angles are congruent and equal. Hope this helps! Mark brainly please!

6. It took Todd 9 hours to paint 4 rooms.
If he continued painting at that rate,
how many rooms could he paint in
12 hours? Explain your reasoning.
Answer quick PLZZ no website

Answers

Answer:

5 rooms

Step-by-step explanation:

4 rooms = 9 hours

9 hours = 540 minutes

1 room = 540 ÷ 4 = 135 minutes

60 x 12 = 720 minutes (12 hours)

720 ÷ 135 = 5.33333

5.3333 estimated to nearest whole number = 5

Given sin y = -4/5, where π < y < 3π/2, and cos x = 12/13, where 0 < x < π/2. Find the exact value of sin (x - y).

Please show all the exact steps in order I am really lost on how to solve this.

Answers

Answer:

Solution given:

sin y = -4/5

p/h=4/5

p=4

h=5

b=√{5²-4²)=3

cos y = b/h=-3/5

again

cos x=12/13

b/h=12/13

b=12

h=13

p=√(13²-12²)=5

sin x=p/h=5/13

now

sin[x-y]=sinxcosy-cosxsiny

=5/13×-3/5-(12/13×-4/5)=33/65 is your answer.

which sign do i use??/

Answers

the greater than symbol i presume

How do I solve x squared 3 + 4 when x = 6

Answers

Answer:

Step-by-step explanation:

3 + 4 x = 6

Plot:

Plot

Alternate forms:

4 x = 3

4 x - 3 = 0

Number line:

Number line

Solution:

x = 3/4

I NEED HELP!!
This is a another question, I'll give you 50 points and a brainlist if you figure this out, all you have to do is to Solve the following multi-step equation, and write it out and describe it on a piece of paper or on your computer don't send me links, send me screenshots of your work show me how you did it.

Answers

Answer:

x=x

Step-by-step explanation:

4x-6+2x=3(2x-2)

4x+2x-6=6x-6

4x+2x=6x

6x=6x

x=x

Answer:

infinity solutionsthe picture is attached

What is the slope of Y-9=-2(x-8)

Answers

12.5 is x and 25 is y

Solve the given system of equations.

4x+5y=10
-x-8=3y

Answers

X= 10

y=-6



Hope this helps

Which list shows all the possible unique outcomes if Emilio chooses 3 buttons at one time from his jar?

Answers

Need to know how many buttons in the jar and what colours they are

Judah rides his bike 15 miles in 1/2 an hour.How many miles does he ride in one hour?

Answers

30 miles in one hour
1/2 and hour=30 minutes. 1 hour=60 minutes. 30*2=60. So, 15*2=30 must be the answer.

Fred is baking cookies for a school sale. It takes 3/4 cups of sugar to make on batch of cookies how many cups of sugar does he need to make 9 batches

Answers

Answer:

6 3/4 cups.

Step-by-step explanation:

Multiply 3/4 by 9.

Hope this helps!

What would it be? thank you

Answers

Answer:

C = 43.98 inches; A = 153.94 square inches

Step-by-step explanation:

2*pi*(7)=43.98

pi*(7)^2=153.94

2. A store sells an assortment of batteries
in bulk packs of 300. Of those batteries.
90 are AAA size. What percent of the
pack are AAA-size batteries?
A 10%
B 30%
C 60
D 90
Answer quick PLZZ no website

Answers

Answer:

30%

Step-by-step explanation:

# of bulk packs = 300

# of triple As  = 90

% = 90 / 300 * 100%

% = .3 * 100%

% = 30%

Answer:

b. 30%

Explanation:

90 ÷ 300 × 100%

= 9 ÷ 30 × 100%

= 0.3 × 100%

= 30%

i hope this helps! :D

One angle of an isosceles triangle measures 78º. Which other angles could be in that
isosceles triangle? Choose all that apply.

24 / 51 / 78 / 71

Answers

Jen sac edajvnfeajvnfeqinifqenvfeqinifwdmv

James had $43 on his birthday he received $25. Write and solve and equation to find out how much money he has now.

Answers

Answer:

43+25=68

Step-by-step explanation:

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