sketch the graph of xy = 3y² - 4​

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { f(-9)= 0.48}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]f(x) = \frac{2x + 3}{4x + 5} \\[/tex]

For [tex]f(-9)[/tex], put "[tex]-9[/tex]" for every value of "[tex]x[/tex]".

[tex]↬f( - 9) = \frac{2( - 9) + 3}{4( - 9) + 5}\\ [/tex]

[tex]↬ f(-9) = \frac{ - 18 + 3}{ - 36 + 5} \\[/tex]

[tex]↬ f(-9) = \frac{ - 15}{ - 31}\\ [/tex]

[tex]↬ f(-9)= \frac{15}{31}\\ [/tex]

[tex] ↬f(-9)= 0.48\\ [/tex]

[tex]\bold{ \green{ \star{ \red{Mystique35}}}}⋆[/tex]

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{f(x) = \dfrac{2x + 3}{4x + 5}}[/tex]

[tex]\mathsf{y = \dfrac{ 2x + 3}{4x + 5}}[/tex]

[tex]\mathsf{y = \dfrac{2(-9) + 3}{4(-9) + 5}}[/tex]

[tex]\mathsf{2(-9)}[/tex]

[tex]\mathsf{\bf = -18}[/tex]

[tex]\mathsf{y = \dfrac{-18 + 3} {4(-9) + 5}}[/tex]

[tex]\mathsf{-18 + 3}\\\mathsf{= \bf -15}[/tex]

[tex]\mathsf{y = \dfrac{ -15} {4(-9) + 5}}[/tex]

[tex]\mathsf{4(-9)}\\\mathsf{\bf = -36}[/tex]

[tex]\mathsf{y = \dfrac{-15}{-36 + 5}}[/tex]

[tex]\mathsf{-36 + 5}\\\mathsf{= \bf-31}[/tex]

[tex]\mathsf{y = \dfrac{-15}{ -31}\rightarrow\boxed{\bf \dfrac{15}{31}}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: } \boxed{\bf f(-9) = \dfrac{15}{31}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

2 functions start by making a domain

Function 1: -3≤x<1

Function 2: -1≤x≤1

Now come up with equations

Function 1= x+3

Function 2= 5

Now put it all together

f(x)= x+3 for -3≤x<1 and 5 for -1≤x≤1

Answer:

Greatest common factor = [2x - 5][x + 2]

Step-by-step explanation:

Given equation:

2x² - x - 10

Find:

Greatest common factor

Computation;

⇔ 2x² - x - 10

By splitting mid term

⇔ 2x² - [5 - 4]x - 10

Multiply by 'x'

⇔ 2x² - 5x + 4x - 10

taking x and 2  as common

⇔ x[2x - 5] + 2[2x - 5]

taking [2x - 5]  as common

⇔ [2x - 5][x + 2]

Greatest common factor = [2x - 5][x + 2]

Hello,

Let's x then number of students.

x is divisible by 12,15,18 thus by 180 (lcm)

x=180*k is a square

2²*3²*5*k= a square ==> k=5

x=180*5=900

Proof:

900/12=75

900/15=60

900/18=50

900=30²

Answer:

0.4476

Step-by-step explanation:

Answer:

[tex]{ \bf{0.35{ \bar{2}}}} = { \bf{0.352222222....}} \\ = \frac{317}{900} [/tex]

Answer:

It might be negative, I'm not sure, but I feel postive about that answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The discriminant is zero because the graph of the parabola is on the x axis.

Answer:

p = 3

Step-by-step explanation:

Applying,

mid point of A and B is

P = [(x₁+x₂)/2,(y₁+y₂)/2]............... Equation 1

From the question,

Given: x₁ = 6, x₂ = -2, y₁ = -5, y₂ = 11

Substitute these values into equation 1

P = [(6-2)/2,(-5+11)/2)

P = (2,3)

comparing,

P(2,p) to (4,3)

Therefore,

p = 3

Answer:

340 ml

Step-by-step explanation:

Answer:

A). slope = -1/12         y-intercept = 3/2

Step-by-step explanation:

y = -1/12x + b

2 = -1/12(-6) + b

2 = 1/2 + b

3/2 = b

y = -1/12x + 3/2

Given:

Consider the given function is:

[tex]f(x)=5^x+1[/tex]

To find:

The average rate of change between x = 0 and x = 4.

Solution:

The average rate of change of a function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

We have,

[tex]f(x)=5^x+1[/tex]

At [tex]x=0[/tex],

[tex]f(0)=5^0+1[/tex]

[tex]f(0)=1+1[/tex]

[tex]f(0)=2[/tex]

At [tex]x=0[/tex],

[tex]f(4)=5^4+1[/tex]

[tex]f(4)=625+1[/tex]

[tex]f(4)=626[/tex]

Now, the average rate of change between x = 0 and x = 4 is:

[tex]m=\dfrac{f(4)-f(0)}{4-0}[/tex]

[tex]m=\dfrac{626-2}{4}[/tex]

[tex]m=\dfrac{624}{4}[/tex]

[tex]m=156[/tex]

Hence, the average rate of change between x = 0 and x = 4 is 156.

Answer

5

All you need to know to solve this problem is the pythogorean theorem. If you draw an imaginary line to make a triangle and a rectangle, you already know the height is 4. To find the base, you know that the bottom length is 9 and the top is 6 so 9-6 =3, which is the length of only the left side of the imaginary line.

So 4^2 + 3^2 = c^2

25 = c^ 2

5 = c

Hope that helps!

Answer:

s for length of either equal side

b for the unequal side

b=-2+2*(s+s) and 2s+b=40

b=2*2s-2

b=4s-2

2s+4s-2=40

6s-2=40

6s=42

s=7

b=4*7-2

b=28-2

b=26

Answer:

D. ADC EBC

Step-by-step explanation:

cb & cd have that little line showing they're the same

Answer:

60 u²

Step-by-step explanation:

Finding second diagonal :-

Using formula :-

Answer:

24

Step-by-step explanation:

2 hours * 60 minutes/hour = 120 minutes

120 minutes / 30 minutes = 4

120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.

4 * 6 customers = 24 customers

Answer: 24

A man serves 6 customers in 30 minutes. There are 24 customers who can be served in 2 hours.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A man serves 6 customers in 30 minutes. we want to find how many customers can be served in 2 hours.

We know that

2 hours x 60 minutes/hour = 120 minutes

120 minutes / 30 minutes = 4

120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.

= 4 x 6 customers

= 24 customers

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Answer:

It's D, x≤-15

Answer:

16.8

Step-by-step explanation:

Answer:

5.60

Step-by-step explanation:

To find what 10 pens cost we have to go down to the cost of 1 pen first.

If 3 pens costs 1.68 then the cost of 1 pen is 1.68 divided by 3.

[tex]\frac{1.68}{3} = 0.56[/tex]  

If one pen costs 0.56 then 10 pens cost 0.56 multiplied by 10.

0.56 × 10 = 5.60

Answer:

The circumference of Earth's equator is 40,080 km.

Step-by-step explanation:

Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:

24 x 1,670 = X

40,080 = X

Therefore, the circumference of Earth's equator is 40,080 km.

Answer:

The answer is 48in

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

complementary angles sum to 90° , so

3x + 4 + 6x - 4 = 90

9x = 90 ( divide both sides by 9 )

x = 10

Answer:

your answer is (2,3) i think so .......am i right...or wrong..

Answer:

the first graph

Answer:

1st option

Step-by-step explanation:

If the rate of change is constant, then it's always a straight line, so the 1st option, and if you see the graph, you'll see the line is going down at a rate of 1/4, so the slope is 1/4. So the answer to your question will be the 1st option.

Answered by GAUTHMATH

Answer:

Emily will earn $33,020 in one year.

Step-by-step explanation:

635×52=33,020

Answer:

The third one

Step-by-step explanation:

Answer:

Represent 1/2 by covering 50 squares.

Step-by-step explanation:

There are 100 squares in a 10-by-10 grid.

1/2 of 100 is 50, so you should cover 50 squares out of 100 squares.

Answer:

[tex]7z + 15 + 27 \\ 7z + 42 \\ z = 42 \div 7 \\ z = 6[/tex]

Answer:

Step-by-step explanation:

Given is the isosceles triangle as two sides marked equal.

The missing angles measure the same.

Since the sum of interior angles of a triangle is 180°, we have:

It is an isosceles triangle,

The marked 2 sides of triangle are equal.

Now we have to,

find the measure of indicated angle.

General formula,

→ Sum of all sides of triangle = 180°

Then the value of x is,

→ 2x + 40° = 180°

→ 2x = 140°

→ x = 140/2

→ x = 70°

Therefore, 70° is the value of x.