MATHEMATICS HIGH SCHOOL

Which function below has the lowest y-intercept?f(x)

graph going through (0,5) and (4, 3)
g(x)

Kyle started the summer having read 3 books but plans to read 6 books per month over the summer.

h(x)

h(x) = 3x + 4

f(x)

g(x)

h(x)

The functions all have the same y-intercept.

Answers

Answer 1
Answer: If f(x) is given with points (0,5) and (4,3), it can be easily plotted in a coordinate system (see .jpeg image in attachment).
If g(x) is a function defined by text:
Kyle started the summer having read 3 books but plans to read 6 books per month over the summer.
Then, g(x) is given with:
g(x) = 6*x+3 (3 books read already, and 6 books will be read each month).
h(x) is already given with:
h(x)=3*x+4
These all three functions are plotted in coordinate system (see the .jpeg image), and it can be seen that the lowest y-intercept has function g(x), and it is the value of 3 on y-axis. Others have 4 (h(x)) and 5 (f(x)).
See the .jpeg image in attachment.
Answer 2
Answer:

Here is your answer:

The lowest y-intercept has function g(x) with the value of three the others have four (h(x)) and five (f(x))which would mean that your answer is the second option "g(x)."

Hope this helps!

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Solve for x and y in the following set of equation 6x+5xy-5y=8
X+y=3

Please help this is important

Answers

STEP 1:

6x+5xy-5y=8\n \n 6x+5y\left( x-1 \right) =8\n \n 5y\left( x-1 \right) =8-6x\n \n 5y\left( x-1 \right) =2\left( 4-3x \right) \n \n \frac { 1 }{ 5\left( x-1 \right) } \cdot 5y\left( x-1 \right) =2\left( 4-3x \right) \cdot \frac { 1 }{ 5\left( x-1 \right) } \n \n y=\frac { 2\left( 4-3x \right) }{ 5\left( x-1 \right) }

STEP 2:

x+y=3\n \n y=3-x

STEP 3:

This means that...

3-x=\frac { 2\left( 4-3x \right) }{ 5\left( x-1 \right) } \n \n \left\{ 5\left( x-1 \right) \right\} \left( 3-x \right) =2\left( 4-3x \right) \n \n \left( 5x-5 \right) \left( 3-x \right) =8-6x\n \n 15x-5{ x }^( 2 )-15+5x=8-6x\n \n 20x-5{ x }^( 2 )-15=8-6x\n \n 5{ x }^( 2 )+8-6x+15-20x=0\n \n 5{ x }^( 2 )-26x+23=0

STEP 4:

Which means that...

\n \frac { 1 }{ 5 } \cdot \left( 5{ x }^( 2 )-26x+23 \right) =0\cdot \frac { 1 }{ 5 } \n \n { x }^( 2 )-\frac { 26 }{ 5 } x+\frac { 23 }{ 5 } =0\n \n { x }^( 2 )-\frac { 26 }{ 5 } x=-\frac { 23 }{ 5 }

Which means that...

\ \n { \left( x-\frac { 13 }{ 5 } \right) }^( 2 )-{ \left( \frac { 13 }{ 5 } \right) }^( 2 )=-\frac { 23 }{ 5 } \n \n { \left( x-\frac { 13 }{ 5 } \right) }^( 2 )-\frac { 169 }{ 25 } =-\frac { 23 }{ 5 } \n \n { \left( x-\frac { 13 }{ 5 } \right) }^( 2 )=-\frac { 115 }{ 25 } +\frac { 169 }{ 25 } \n \n { \left( x-\frac { 13 }{ 5 } \right) }^( 2 )=\frac { 54 }{ 25 }

Which means that...

\n \n x-\frac { 13 }{ 5 } =\pm \frac { \sqrt { 54 } }{ 5 } =\pm \frac { 3\sqrt { 6 } }{ 5 } \n \n \therefore \quad x=\frac { 13 }{ 5 } \pm \frac { 3\sqrt { 6 } }{ 5 }

STEP 5:

When:

x=\frac { 13 }{ 5 } +\frac { 3\sqrt { 6 } }{ 5 }

.........

y=3-\left( \frac { 13 }{ 5 } +\frac { 3\sqrt { 6 } }{ 5 } \right) \n \n y=\frac { 15 }{ 5 } -\frac { 13 }{ 5 } -\frac { 3\sqrt { 6 } }{ 5 } \n \n y=\frac { 15-13-3\sqrt { 6 } }{ 5 } \n \n y=\frac { 2-3\sqrt { 6 } }{ 5 }

STEP 6:

When :

x=\frac { 13 }{ 5 } -\frac { 3\sqrt { 6 } }{ 5 }

...........

y=3-\left( \frac { 13 }{ 5 } -\frac { 3\sqrt { 6 } }{ 5 } \right) \n \n y=\frac { 15 }{ 5 } -\frac { 13 }{ 5 } +\frac { 3\sqrt { 6 } }{ 5 } \n \n y=\frac { 15-13+3\sqrt { 6 } }{ 5 } \n \n y=\frac { 2+3\sqrt { 6 } }{ 5 }

Explain how you can tell that 31/33 is in simplest form

Answers

The simplified form of the fraction 31/33 is 31/33.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

A fraction,

31/33.

A fraction that can not be factorized further is the simplest form of the fraction.

31 and 33 both numbers do not have a common divisor other than 1.

Therefore, 31/33 is in the simplest form.

To learn more about the fractions;

brainly.com/question/10354322

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31/33 is in simplest form because both 31 and 33 do not have a common factor that be used to simplify.

The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker’s dozen instead of 13 individual rolls?

Answers

it's 0.60

Have an nice nice day

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Answers

Answer:

7 radians

Step-by-step explanation:

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Since our Angle in in radians

The formula for Arc length = S = rθ

S = 14π

θ = central angle = 2π radians

Hence

r = S/θ

r = 14π/2π radians

r = 7 radians

Radius = 7 radians

What is the solution to 2x+5>3x+1

Answers

   2x + 5 > 3x + 1
 - 2x        - 2x     
           5 > x + 1
         - 1        - 1
           4 > x
           x < 4

The solution is 4>x Because you subtract 1 from both sides and you subtract 2x from both sides and you get x<4 or 4>x

If R, S, and T are collinear and RS + ST = RT, which of the following is true? A. T is between R and S.B. RS=RT
C. S is the midpoint of.
D. S is between R and T.

Answers

The answer is D. S is between R and T.

Imagine a line, which a starting point is R and a final point is T. And somewhere in between a point S. 
The total distance is RT (from the starting to the final point).
The distance RS is one part of the line, and the distance ST is the other part of the line. If these two distances sum up, you will get the total distance:
RS + ST = RT
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