Which equations have one solution and which have infinitely many solutions?

Which Equations Have One Solution And Which Have Infinitely Many Solutions?

Answers

Answer 1

Answer:

Step-by-step explanation:

1). [tex]\frac{1}{2}g-4=2g-\frac{1}{2}g+4[/tex]

  [tex]\frac{1}{2}g-4=\frac{3}{2}g+4[/tex]

 Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.

2). -2.1b + 5.3 = b - 3.1b + 5.3

   -2.1b + 5.3 = -2.1b + 5.3

Since left side of the equation is exactly same as right side of the equation.

Equation will have infinitely many solutions.

3). [tex]\frac{3}{4}w+\frac{5}{4}=\frac{10}{4}-\frac{3}{4}w[/tex]

  [tex]\frac{3}{4}w+\frac{5}{4}=\frac{5}{2}-\frac{3}{4}w[/tex]

Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.

4). 5.7c - 1.5 + 3.2c = 7.8c - 1.5 + 1.1c

   8.9c - 1.5 = 8.9c - 1.5

 Left side of the equation is same as right side of the equation.

Therefore, there will be infinitely many solutions of the equation.

Answer 2

Answer:

C and f

Step-by-step explanation:

Hope this helps


Related Questions

Which of the following characteristics best describes the given function of f(x) = -2 ?

A) quadratic function

B) linear function, always increasing

C) linear, constant function

D) linear function, always decreasing

Answers

Answer:

C

Step-by-step explanation:

it is a constant function

Madeline is renting bowling shoes for $3.50 every time she goes bowling. She could get a good pair of bowling shoes for $68.

If she goes once every two weeks during the year, would it be less expensive to rent or buy?

A Buy

B Rent

Answers

Answer:

rent would be cheaper

Step-by-step explanation:

1.50 x 26 = $39 or $48 for a pair

it would be nine dollars cheaper to rent than to buy

Iit would be less if she rent the shoes.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Madeline is renting bowling shoes for $3.50 every time she goes bowling.

she goes once every two weeks during the year.

In a year there are 52 weeks.

As she is going once every two weeks during the year, so let us divide 52 by 2, 52/2=26

Rent for each bowling is 3.50

So for 26 times it would be 26×3.50

If she goes once every two weeks during the year, then the rent amount will be $91.

As She could get a good pair of bowling shoes for $68.

91 is greater than 68

So, it would be less expensive if she rent the shoes.

To learn more on Equation:

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Change y = – 2/3 x + 7 into standard form

Answers

Answer:

2x + 3y = 42

Step-by-step explanation:

Standard form should be like:

=> ax + by = c

To make an equation like the above one, we need to do the point-slope form first.

=> y - y1 = slope (x - x1)

Slope = -2/3

Y-intercept -> to find the y-intercept, we need to make the 'x' as 0.

=> y = -2/3 * 0 + 7

=> y = 7

X-intercept -> to find the x-intercept, we need to make 'y' as 0.

=> 0 = -2/3x + 7

=> -7 = -2/3x

=> -21/2 = -x

=> -10.5 = -x

=> 10.5 = x

So, x and y intercepts are 10.5 and 7.

We can now write the point-slope form:

=> y - 7 = -2/3 (x - 10.5)

=> y - 7 = -2/3x + 21/3

=> y = -2/3x + 7 + 7

=> y = -2/3x + 14

=> 2/3x + y = 14

=> Multiply all numbers by 3

=> 2x + 3y = 42

i need help with this question please :(

Answers

Answer:

C

Step-by-step explanation:

[tex](2^7 \cdot 3^{-5}\cdot 9)^4[/tex]

Use the Power of a Product Property, where:

[tex](ab)^n=a^nb^n[/tex]

Therefore:

[tex](2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4[/tex]

I have 4 different single digit numbers.
The last digit is half the third digit and one-fourth (one quarter) the second digit.
The first digit is the second odd whole number.
What are my numbers and their order?

Answers

Answer:

Step-by-step explanation:

The third digit can be 8 6 4 2 or 0

The last digit can be   4 3 2 1  or 0

The second digit         8 4 0    which makes the last digit 2 1 0

The first digit is 3

The choices are

The first digit is 3.  That's all you can be sure of. Lets assume zero is not a choice.

3 8 4 2

3 4 2 1

The radius of a circle is 3 cm. Find its area in terms of pi

Answers

Answer:

A = 9 pi cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r=3

A = pi (3)^2

A = 9 pi cm^2

Area of circle = πr²

Area = π3²

Area = 9π

There area in terms of pie is 9πcm²

Must click thanks and mark brainliest

What is the value of X?

Answers

Answer:

I think the answer for this question is 2.24cm

Which recrusive formula can be used to generate the sequence shown, where f(1)=5 and n>=1 5,-1,-7,-13,-19

Answers

Answer:

a_n = 11 - 6n

Step-by-step explanation:

you can observe every next element is smaller then the previous one by 6  

a_n = 5 - 6*(n-1)

a_n = 5 - 6n + 6

a_n = 11 - 6n

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FID = - Šv
O f(x) = - 3x + 4
Of(x) = -x +
O fly) = -34+4​

Answers

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Note that y = f(x)

Rearrange making y the subject

9x + 3y = 12 ( subtract 9x from both sides )

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4 , that is

f(x) = - 3x + 4

If x is 2/3 of y and y is 3/4 of z, what is the ratio of:x? *
a) 1:2
b) 1:1
c) 2:1
d) 3:2
e) 4:3

Answers

Answer:

Answer is option C

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

find the co efficient of m in the expression of ( m/2-3/2) ( m+2/3)​

Answers

Answer:

Step-by-step explanation:

We will get m when we multiply (m/2)*(2/3) &  m *(-3/2)

[tex]\frac{m}{2}*\frac{2}{3}+m*\frac{-3}{2}=\frac{m}{3}-\frac{3m}{2}\\\\\\=m(\frac{1}{3}-\frac{3}{2})\\\\\\=m(\frac{2}{6}-\frac{9}{6})\\\\\\=\frac{-7}{6}m[/tex]

Coefficient of m = -7/6

convert 0.129 into a percentage

Answers

Answer:

12.9%

Step-by-step explanation:

Answer:

0.129%

Step-by-step explanation:

Just add the percent sign

The solutions to \[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[tex]The solutions to\[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[/tex]

Answers

Answer:  5/4

In decimal form, this is equivalent to 1.25

=============================================

Work Shown:

The given equation 2x^2-10x+13 = 0 matches the form ax^2+bx+c = 0

We see that a = 2, b = -10, c = 13. Plug those values into the quadratic formula to solve for x.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-10)\pm\sqrt{(-10)^2-4(2)(13)}}{2(2)}\\\\x = \frac{10\pm\sqrt{-4}}{4}\\\\x = \frac{10\pm2i}{4}\\\\x = \frac{2(5\pm i)}{2*2}\\\\x = \frac{5\pm i}{2}\\\\x = \frac{5}{2} \pm \frac{1}{2}i\\\\x = \frac{5}{2} + \frac{1}{2}i \ \text{ or } \ x = \frac{5}{2} - \frac{1}{2}i\\\\[/tex]

The two solutions are in the form [tex]a \pm bi[/tex] where a = 5/2 and b = 1/2

Therefore a*b = (5/2)*(1/2) = 5/4 = 1.25

HELP !!!! Please.. ASAP

Answers

a) There are 8 points as shown by the 8 letters (A through H)b) There are 9 lines. This is because there are 3 lines per triangle, to make up each base face, and 3 lateral lines also. An example of a lateral line is segment AD.c) There are 5 planes to represent each face of this triangular prism (2 base faces + 3 lateral faces = 5 faces total)d) You are correct. Points F, H and C are all on the same line; hence they are collinear.e) Name any four points that are on the same plane or face. One example could be A, C, D, F which is the slanted side on the right (it's a rectangle).f) Line segment AB is the answer. Notice how "AB" is found in ABC and ABE. This is the shared segment between the faces. g) Plane BCH is the same as plane BEF. I'm replacing CH with EF to show that EF is in common between planes BEF and DEF. This is a shared edge line. The final answer is line segment EF.h) Point D is the answer. The letter D is found in AD and DF. This is the shared corner point between the segments.

The answers are summarized below.

The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is the fifth term?

Answers

Answer:

677

Step-by-step explanation:

the sequence is 1, 2, 5, 26, 677

the first term is 1

to find the 2nd term, do: [tex]1^{2} +1=2[/tex]

3rd: [tex]2^{2} +1=4+1=5[/tex]

4th: [tex]5^{2} +1 =25 +1=26[/tex]

5th: [tex]26^{2} +1=676+1=677[/tex]


The value of -48 - x is positive. What are two possible values of x?
Show your work.
Please help I will give you Brainlyest

Answers

Answer:

-49

-50

Step-by-step explanation:

When a negative number subtracts another negative number, the number becomes positive.

For example: -48-(-49)=1

-48-(-49) becomes -48+49=1

Tom ate 3/8 of a pizza, and his brother ate 2/5 of the remainder. What fraction of the pizza was left?​

Answers

Answer:

3/8 is left

Step-by-step explanation:

Tom ate 3/8 of the pizza

Take 1 - 3/8

8/8 - 3/8 = 5/8

5/8 of the pizza is left

The brother at 2/5 of the remainder

5/8  * 2/5

2/8

1/4

His brother at 1/4 of the  of the pizza

5/8 - 1/4

5/8 - 2/8

3/8 is left

3 Question
Select the correct answer.
What is the value of this expression when a = 2 and b = -3?
a3 - 63
5
Hola
O
O
3

Answers

Answer:

The qs is not clear.

Simply put values of a and b and you will get the ans.

Step-by-step explanation:

v+19= 36
----------------

Answers

Answer:

17

Step-by-step explanation:

v+19=36

v=36-19

v=17

V= 17 because v is just 36 - 19

a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres​

Answers

Answer:

7 m

Step-by-step explanation:

Use the pythagorean theorem.

a^2+b^2=c^2

7.5 is your hypotenuse and 3 is one of your legs.

7.5^2 - 3^2 = 47.25

the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.

Write the Roman Numeral CLXIV in standard form.


A. 169
B. 166
C. 164
D. 159

Answers

Answer:

It's C, 164

Step-by-step explanation:

The answer is 164 which would be c

6x + 11 + 3x .........................................

Answers

Answer: I'm assuming you want this problem simplified.

6x + 11 + 3x

Combine like terms: 9x + 11

Your expression now looks like: 9x + 11

There is nothing left to simplify, so you're done!

Hope this helps!

Answer:

9x+11

Step-by-step explanation:

6x + 11 + 3x

Combine like terms

9x+11

Evaluate the problem

Answers

Answer:

.6

Step-by-step explanation:

First find < ABC

Since this is a right triangle, we can use trig functions

tan < ABC = opp / adj

tan < ABC = 2/4

Take the inverse tan of each side

tan ^-1 tan < ABC =  tan ^-1 2/4

< ABC = 26.56505118

Multiply by 2

53.13010235

Take the cos

cos (53.13010235)

.6

Will Mark Brainlest Help Please Please ​

Answers

[tex]\\ \sf\longmapsto \left[{3a+b\atop a-b}\:\:\:{3c-d\atop a+b+d}\right]=\left[{3\atop 5}\:\:\;{6\atop 2d-1}\right][/tex]

Now constructing equations

[tex]\\ \sf\longmapsto 3a+b=3\dots(1)[/tex]

[tex]\\ \sf\longmapsto a-b=5\dots(2)[/tex]

[tex]\\ \sf\longmapsto 3c-d=6\dots(3)[/tex]

[tex]\\ \sf\longmapsto a+b+d=2d-1\dots(4)[/tex]

Adding eq(1) and (2)

[tex]\\ \sf\longmapsto 4a=8[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{8}{4}[/tex]

[tex]\\ \bf\longmapsto a=2[/tex]

Put the value in eq(2)

[tex]\\ \sf\longmapsto a-b=5[/tex]

[tex]\\ \sf\longmapsto b=a-5[/tex]

[tex]\\ \sf\longmapsto b=2-5[/tex]

[tex]\\ \bf\longmapsto b=-3[/tex]

put the values in eq(4)

[tex]\\ \sf\longmapsto a+b+d=2d-1[/tex]

[tex]\\ \sf\longmapsto 2+(-3)+d=2d-1[/tex]

[tex]\\ \sf\longmapsto d-1=2d-1[/tex]

[tex]\\ \sf\longmapsto d-2d=-1+1[/tex]

[tex]\\ \sf\longmapsto -d=0[/tex]

[tex]\\ \bf\longmapsto d=0[/tex]

Put the value in eq(3)

[tex]\\ \sf\longmapsto 3c-d=6[/tex]

[tex]\\ \sf\longmapsto 3c-0=6[/tex]

[tex]\\ \sf\longmapsto 3c=6+0[/tex]

[tex]\\ \sf\longmapsto 3c=6[/tex]

[tex]\\ \sf\longmapsto c=\dfrac{6}{3}[/tex]

[tex]\\ \sf\longmapsto c=2[/tex]

Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assignment of employees to desks is made randomly, what is the probability that the married couple will have nonadjacent desks

Answers

Answer:

P = 0,88          or       P  =  88 %

Step-by-step explanation:

The probability of having a married couple in nonadjacent desks is the total number of probabilities minus the probabilities of having them in adjacent places divide by total number of outcomes

The total possibilities (outcomes) of 9 elements in a row is:

P(₉) = 9!

P(₉) = 9*8*7*6*5*4*3*2*1

P(₉) = 362880

And the outcomes in which they are adjacent to each other is:

We consider them as one unit them we in this situation have 8 elements

P(₈) = 8!

P(₈) = 8*7*6*5*4*3*2*1

P(₈) = 40320

Then the probability that the married couple will have nonadjacent desks is:

P = P(₉)  -  P(₈) / P(₉)

P =  362880 - 40320 / 362880

P = 322560/ 362880

P = 0,88          or       P  =  88 %

The shape on the left is translated to the shape on the right.

Which statement about the transformation is true?

A.The name of the shape on the right is MNOPQRS' because it is the image of the shape on the left.

B.The name of the shape on the right is MNOPORS' because it is the pre-image of the shape on the left.

C.The name of the shape on the right is M’N’O’P’Q’R’S because it is the pre-image of the shape on the left.

D. The name of the shape on the right M’N’O’P’Q’R’S
Because it is the pre-image if the shape in the left.

Answers

Answer:

sorry i am late but the answer is The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the image of the shape on the left. and if you dont  want to read that  its D

hope it helped anyone :)

The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right.

The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left

find out more on Transformation at: https://brainly.com/question/1462871

Find the volume of the prism. (Image down below)

Answers

Answer:

Option (A)

Step-by-step explanation:

In the figure attached,

A prism has been given with two triangular bases.

If we put this prism with one of the triangular face as the base of the prism, height of the prism will be 6 in.

Volume of a prism is calculated with the formula,

Volume = (Area of the triangular base) × Height

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height of the triangular base})[/tex]

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

                                             = 7.5 in²

Volume of the prism = 7.5 × 6

                                  = 45 in³

Therefore, Option (A) will be the answer.

A radio-active atom has a half-life of a day. This means that it decays by 1/2 each day. Write an equation for this expinential function if you start with 64 grams

Answers

Answer:

y = 64(0.5)ˣ

Step-by-step explanation:

We can write this as an exponential decay function. The formula for that is y = a(1 - b)ˣ where a is the initial value and b is the decay factor. In this case, a = 64 and b = 1/2 or 0.5 so the final answer is y = 64(0.5)ˣ.

Appreciate answers and any help!


Logan wants to know how many skateboards have defective parts. He inspects 20,000 skateboards and keeps track of the number of defects per board. Use his probability distribution table to find the expected value for defects on a skateboard.

Answers

To find the expected value of the distribution, we multiply each outcome by it's probability. Doing this, we get that the expected value of defects on a skateboard is of [tex]\frac{4}{25}[/tex].

Outcomes and probabilities:

0 defects, 9/10 probability

1 defect, 1/20 probability

2 defects, 1/25 probability

3 defects, 1/100 probability.

Expected value:

[tex]E(X) = 0\frac{9}{10} + \frac{1}{20} + 2\frac{1}{25} + 3\frac{1}{100} = \frac{1}{20} + \frac{2}{25} + \frac{3}{100} = \frac{5 + 8 + 3}{100} = \frac{16}{100}[/tex]

Dividing both numerator and denominator by 4:

[tex]\frac{4}{25}[/tex]

Thus, the expected value of defects on a skateboard is of [tex]\frac{4}{25}[/tex].

A similar problem is given at: https://brainly.com/question/23156292.

Select all that apply.

The following graph shows an ellipse that suffered several transformations. Which of the following two sets of combinations of transformations could map ellipse 1 into ellipse 2? You may choose more than one correct answer.


Translation 3 units up and 7 units to the right
Reflection along the y-axis and translation 3 units to the left
Rotation of 90° clockwise by the origin O, and translation 2 units to the left
Reflection along y = -x, and translation 6 units to the right

Answers

Answer:

Hello,

Answer :Rotation of 90° clockwise by the origin O, and translation 2 units to the left

Step-by-step explanation:

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