Which is the smallest fraction?
A. 1/3
B. 1/6
C. 1/4
D. 1/7
​

The solution to the given system of equations is the point (1, 5).

Here we have the system of equations:

g(x) = 3x + 2

f(x) = |x - 4| + 2

To solve this, first you can see where the graphs intercept on the graph (the intercept point is the solution to the system)

But we can also solve it analytically. To do it, we have:

g(x) = f(x)

3x + 2 =  |x - 4| + 2

3x =  |x - 4|

Notice that the only solution of the above equation is x = 1, so we know that it is the x-value of the solution.

To get the y-value, we just evaluate one of the two given functions on x = 1.

f(1) = |1 - 4| + 2= 3 + 2 = 5

Then the solution to the system is the point (1, 5).

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

The factors of the expression are [tex]\rm (4x+1)(-2x^2-3)[/tex]

First group the first two terms and the last two terms together respectively.

The factors of the expression are given by;

[tex]\rm -8x^3 -2x^2 - 12x - 3\\\\-2x^2(4x+1)-3(4x+1)\\\\(4x+1)(-2x^2-3)[/tex]

Hence, the factors of the expression are [tex]\rm (4x+1)(-2x^2-3)[/tex].

To know more about factors click the link given below.

https://brainly.com/question/9645056

Answer:

C

Step-by-step explanation:

Use the pythagorean theorem.

32^2+b^2=48^2

1024+b^2=2304

Subtract 1024

b^2=1280

Square root

b=sqrt(1280)

Now simplify sqrt(1280)

sqrt(1280) = sqrt(256*5)

You can take the square root of 256 since it is a perfect square so take it out of the radical.

sqrt(256*5)=16sqrt(5)

So the answer is c, 16[tex]\sqrt{5}[/tex]

Answer:

C. 16/5

Step-by-step explanation:

pythagorean theorem

a^2 + b^2 = c^2

divide 48 and 32 by 16

a= 2 c= 3

4 + b^2 = 9

b^2 = 5

b = √5

then multiply 16 with √5

which =

16√5

Formula for the circumference of a circle = pi x 2 x radius

Circumference = 3

pi = 3.14

radius = r

---To find the radius, we will need to solve for it. Start by plugging in what we know.

3 = 3.14 x 2 x r

---Simplify by multiplying 3.14 by 2

3 = 6.28 x r

---Divide both sides by 6.28 to solve for r

r = 3 / 6.28 = 0.4777

---Round the decimal to the nearest tenth

r = 0.5

Hope this helps!

r=0.5

Hope it helps.

Do comment if you have any query.

Answer:

13

Step-by-step explanation:

693/11 = 63 miles per hour

819/63 = 13

Answer:

Angle B = 24°

Step-by-step explanation:

Given:

that means, Angle A = 5 ( Angle B + 7.2 )

Now,

Let Angle B = x (say)

•.• Angle A = 5 ( x + 7.2 )

Therefore, As it is given that the angles are supplementary , the sum of Angle A and Angle B will be equal to 180°.

Angle A + Angle B = 180°

[tex]⇢x + 5(x + 7.2) = 180[/tex]

[tex]⇢x + 5x + 36 = 180[/tex]

[tex]⇢6x = 180 - 36[/tex]

[tex]⇢6x = 144[/tex]

[tex]⇢x = \frac{144}{6} [/tex]

Now, substituting the value of x. . .

Thus, Angle B comes out 24°

There were 16 total players at the baseball game of which 12 of the players chose a bottle of water.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let p represent the total number of players, 2 of the players chose a bottle of water which accounted for 3/4 of the total players, hence:

(3/4)p = 12

p = 16

There were 16 total players at the baseball game.

Find out more on equation at: https://brainly.com/question/1214333

Answer:

A: y=-2x-2

B: y=-2x+2

Step-by-step explanation:

Answer:

58.7

Step-by-step explanation:

i'v been practicing it since 6th grade.

Answer:

The answer is 12

Step-by-step explanation:

look under the home tab and look at 5-10. There's the answer

The percent of children who are between the ages 5 and 10 will have their birthday party at home is 10.91%.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

Given that,

There are total of 325 children in different ages who have their birthday party in different ways.

Number of children in between the ages 5 and 10 = 110

Number of children of the ages 5-10 who have their birthday party at home = 12

In order to find the percentage, divide part with the whole.

Percentage = 12 / 110 = 0.1091

Percentage is 10.91%

Hence the required percentage is 10.91%.

Learn more about Percentage here :

https://brainly.com/question/29029457

#SPJ7

Answer:

The ratio of the length opposite to the side of the triangle whose angle is opposite to the length of the hyptoneuse.

Answer:

2 to 6, 2/6, or 2:6

Step-by-step explanation:

a ratio is a comparison of two values expressed as a quotient

Answer:

8(5+8)

Step-by-step explanation:

The GCF of 40 and 64 is 8. Then you divide 40 and 64 by 8.

Answer:

[tex]w = 10 \sqrt{2} [/tex]

[tex]y = 20[/tex]

Step-by-step explanation:

Use the Sine Rule to solve for the unknown sides.

Answer:

Step-by-step explanation:

we are given A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4 Sample space:

the sample space of an experiment or random trial is the set of all possible outcomes or results of that experimentso, we will only unique outcomesso, sample space is S={1,2,3,4}................Answer

Answer:

$5.67

Step-by-step explanation:

All you have to do is 17 divided by 3 to figure out how much it costs for one hour, that equals 5.666, but you have to round it to the nearest cent, which equals 5.67. ;)

Answer:

I believe 6in squared is the correct answer

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6*?=24 in

6*4=24in

if it is 3 in on the smaller one, it also will be 2 so it will be 6.

Area of top rectangle

Area of horizontal rectangle (Left):-

Area of right rectangle:-

Area of triangle:-

Total:-

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

In the Triangle BCD, Angle B is 90° since tangent and radius are perpendicular to one another.

Now, let's find Angle C using Angle sum property of a triangle.

[tex]\qquad \tt \dashrightarrow \:\angle C + \angle B + \angle D = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:\angle C + 90 + 45= 180[/tex]

[tex]\qquad \tt \dashrightarrow \:\angle C + 135= 180[/tex]

[tex]\qquad \tt \dashrightarrow \:\angle C= 180 - 135[/tex]

[tex]\qquad \tt \dashrightarrow \:\angle C= 45 \degree[/tex]

Now, we know that Angle made by an arc on the centre is twice the Angle made by same arc on boundary of circle, hence we can infer that :

[tex]\qquad \tt \dashrightarrow \:2\angle C = 10x[/tex]

[tex]\qquad \tt \dashrightarrow \:10x = 2 \times 45[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 90 \div 10[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 9[/tex]

So, the required value of x is 9

The expression that is equivalent to the given expression is 125y⁵.

The given expression is:

[tex]\frac{5y^{3} }{(5y)^{-2} }[/tex]

Some important power rules applicable to this problem are:

1)[tex](ab)^m=a^mb^m[/tex]

2)[tex]\frac{1}{a^{-n} } =a^n[/tex]

So, [tex]\frac{5y^{3} }{(5y)^{-2} } =\frac{5y^{3} }{5^{-2} y^{-2} }[/tex].....by power rule (1)

[tex]=(\frac{5}{5^{-2} } )(\frac{y^3}{y^{-2} })[/tex]

[tex]=5^3y^5[/tex].....by power rule(2)

[tex]=125y^5[/tex]

Hence, the expression that is equivalent to the given expression is 125y⁵.

To get more about power rules visit:

https://brainly.com/question/819893

Answer:

Step-by-step explanation:

Kiran can know for sure that it is incorrect by substituting x with 1/4

Solving for the equation gives 4(1/4 + 3) = 7
distributing gives 1 + 3 = 7
obviously this is incorrect

b)
Andre's error is that he didnt distribute 7
Distributing 7 results in
4x + 12 = 7
then subtracting 12 from both sides
4x = -5
x = -5/4

Answer:

x=-1.25

Step-by-step explanation:

well he was wrong about the 4x = 1.

4(x+3)=7

4x+12=7    1. - 12 on both sides

4x=-5   2. 4 on both sides

x=-1.25

Answer:

Here is the answer in the picture sorry I was late to answer I got busy in a zoom but here

Step-by-step explanation:

A box plot is basically a box with lines that tell you where the minimum,first quartile,median,third quartile and maximum are on a line.

So I just but all the values in order than find the minimum,first quartile,median,third quartile and maximum are and then build the box plot

(7,10,14,15,15,18,18,19,20,20,22,23)

Answer:

[tex] \frac{560}{7} = 80[/tex]

[tex]80 \times 20 = 1600[/tex]

Hillary read 80 word every min

so, 80 × 20 =1600 word every 20 min

A rectangle with proportions close to the Golden Ratio of approximately 1:1.618 is believed to be aesthetically pleasing.

A rectangle with sides that are in the golden ratio, or roughly 1:1.618, is referred to as a golden rectangle. This ratio has been employed in art, architecture, and design for ages since it is seen to be aesthetically beautiful.

To build a golden rectangle, start with a square and then add a smaller square to one of its sides to form a rectangle. The smaller rectangle is then used to repeat this procedure until you obtain a rectangle whose sides are in the golden ratio.

The layout of credit cards is one instance of a situation in real life that makes use of a golden rectangle. Golden rectangles are a popular shape for credit cards because of their attractive proportions and visual balance. A golden rectangle may also be used in credit card designs to help the card stand out from other cards and be simpler to recognize. The dimensions of several paintings, sculptures, and structures are more instances of how golden rectangles are used in the design.

More about the golden rectangle link is given below:

https://brainly.com/question/27915841

#SPJ2

Answer:

6

Step-by-step explanation:

if you plug in and add it all up you get 6

Answer:

increase of 300%

Step-by-step explanation:

Answer:

9200

Step-by-step explanation:

9.2x10^3 is the same as saying 9.2 multiply 10 three times