the graph shows function j, a transformation of
[tex]f(x) = {x}^{ \frac{1}{2} } [/tex]
replace b and h to create the equation for function j
[tex]j(x) = (bx + h) {}^{ \frac{1}{2} } [/tex]

​

Answer

Step-by-step explanation:

Answer:

[tex]\displaystyle y=\frac{16-9x^3}{2x^3 - 3}[/tex]

[tex]\displaystyle y=-\frac{56}{13}[/tex]

Step-by-step explanation:

Equation Solving

We are given the equation:

[tex]\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}[/tex]

i)

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

[tex]\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3[/tex]

Simplify the radical with the cube:

[tex]\displaystyle x^3=\frac{3y+16}{2y+9}[/tex]

Multiply by 2y+9

[tex]\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)[/tex]

Simplify:

[tex]\displaystyle x^3(2y+9)=3y+16[/tex]

Operate the parentheses:

[tex]\displaystyle x^3(2y)+x^3(9)=3y+16[/tex]

[tex]\displaystyle 2x^3y+9x^3=3y+16[/tex]

Subtract 3y and [tex]9x^3[/tex]:

[tex]\displaystyle 2x^3y - 3y=16-9x^3[/tex]

Factor y out of the left side:

[tex]\displaystyle y(2x^3 - 3)=16-9x^3[/tex]

Divide by [tex]2x^3 - 3[/tex]:

[tex]\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}[/tex]

ii) To find y when x=2, substitute:

[tex]\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}[/tex]

[tex]\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}[/tex]

[tex]\displaystyle y=\frac{16-72}{16- 3}[/tex]

[tex]\displaystyle y=\frac{-56}{13}[/tex]

[tex]\mathbf{\displaystyle y=-\frac{56}{13}}[/tex]

Answer:



5

camjoyner9316

04/30/2020

Mathematics

High School

answered

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children.

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wagonbelleville

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Answer:

$225 = $15 a + $ 10 c

Given,

Total price = $225

Cost of concert ticket for adults= $15

Cost of concert ticket for children = $10

System of equation to represent scenario

a is variable for adult

c is variable for children

Now,

Total price =  $15 a + $ 10 c

$225 = $15 a + $ 10 c

Answer for #5:

7 friends

Step-by-step explanation:

convert fraction into 4ths:

1/4, 2/4, 3/4, 1/4

add together:

7/4ths

if each friend ate 1/4 of the pizzas, then there are 7 friends

Answer:

[tex] Slope (m) = -\frac{3}{4} [/tex]

Step-by-step explanation:

Using any two pairs from the table of values given, (-2, 5) and (2, 2):

[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Where,

[tex] (-2, 5) = (x_1, y_1) [/tex]

[tex] (2, 2) = (x_2, y_2) [/tex]

Plug in the value into the slope formula:

[tex] Slope (m) = \frac{2 - 5}{2 -(-2)} [/tex]

[tex] Slope (m) = -\frac{3}{4} [/tex]

Answer:

The x-intercept is : (22, 0)

Step-by-step explanation:

Given the table

x                 y

48              30

61               45

74               60

From the table, it is clear that every y value is changing 15 units, and every x is changing 13 units. Hence, it is a straight line.

Hence, we can find the other values of this straight line as well.

so

When the value of y = 15 i.e. (30-15), then the value of x will

be 35 i.e. (48 - 13).

as

y = 30 - 15 = 15, and x = 48 - 13 = 35.

Similarly,

When the value of y = 0 i.e. (15-15), then the value of x will be 22 i.e. (35-13).

as

y = 15-15 = 0, and x = 35 - 13 = 22.

As we know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.

so, as we have checked that when the value of y = 0, then the value of x = 22.

Therefore, the x-intercept is : (22, 0)

Answer:

-9=b

Step-by-step explanation:

1. combine multiple turns into a single fraction.

2. multiple all terms by the same value to eliminate

fraction denominators.

3. simplify

4. divide both sides of the equation by the same term

5. simplify

Answer:

3 > x > − 4 and your welcome bud

Answer:

4960 miles

Step-by-step explanation:

Given:

Scale factor is [tex]\dfrac{1}{144}[/tex].

Length of wingspan of the airplane = 1152 inches

To find:

The length of wingspan of the model airplane.

Solution:

Scale factor is [tex]\dfrac{1}{144}[/tex]. It means,

1 inches of airplane [tex]=\dfrac{1}{144}[/tex] inches of model airplane.

1152 inches of airplane [tex]=1152\times \dfrac{1}{144}[/tex] inches of model airplane

                                       [tex]=8[/tex] inches of model airplane

Therefore, the length of wingspan of the model airplane is 8 inches.

Answer: y = -2x

M is the midpoint of PQ

=> M(0;0)

the line PQ passes through P(2;1) and Q(-2;-1)

=> (PQ): 2x - 4y = 0

have:

(d): perpendicular (PQ)

     passes throgh M(0;0)

=> (d): 4x + 2y = 0 ⇔ y = -2x

Step-by-step explanation:

The equation of the perpendicular bisector of PQ is,

⇒ y = - 2x

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point P has coordinates (2, 1) and the point Q has coordinates(-2, -1).

Hence, The slope of line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - 1) / (- 2 - 2)

m = - 2 / - 4

m = 1/2

Thus, The slope of perpendicular line is,

⇒ m = - 2

The midpoint of coordinates (2, 1) and (- 2, - 1) is,

⇒ (- 1 + 1) / 2 , (- 2 + 2) / 2

⇒ (0, 0)

Hence, The equation of line is,

⇒ y = mx + b

⇒ 0 = - 2 × 0 + b

⇒ b = 0

Hence, The equation of the perpendicular bisector of PQ is,

⇒ y = - 2x

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ3

Answer:

A) -3/4

B) 1/4

Step-by-step explanation:

A) m = y2-y1 / x2-x1

B) rise / run

Hope this helps. Pls give brainliest.

Answer:

12

Step-by-step explanation:

i took the test

Answer:

272/-13 or −20.923

Step-by-step explanation:

To solve this equation you need to isolate the variable.

First, add 71 to both sides

-13x-71+71=201+71

-13x=272

Then, divide both sides by -13

-13x/-13=272/-13

So, x=272/-13 or −20.923

Answer:

I think its b

i hope you pass

Reciprocal is reversing the given fraction.

1. Would be 8/3

2. 2 2/3 as in improper fraction is 8/3, reciprocal would be 3/8

3. -3/8 x 8/3 = -24/24 = -1

4. 3/8 / -8/3 =3/8 x -3/8 = -9/64

5. - 8/3 - -3/8 = -8/3 + 3/8 = -2 7/24

6. Only answer left: 2 7/24

Answer:

Vertex:  (−2,7)

Step-by-step explanation:

May I have brainliest please? :)

Answer:

32 feet

Step-by-step explanation:

6 = 8

24 = ?

24 × 8 = 197

197 ÷ 6 = 32.

Answer:

32 feet

Step-by-step explanation:

ratio 6:8 simplified is 3:4

[tex]\frac{3}{4}[/tex] x [tex]\frac{8}{8}[/tex] = [tex]\frac{24}{32}[/tex]

32 Feet

Answer:

a.

[tex]Length = 25[/tex]

[tex]Width = 14[/tex]

[tex]Perimeter = 78ft[/tex]

b.

[tex]Length = 25.2[/tex]

[tex]Width = 13.6[/tex]

[tex]Perimeter = 77.6ft[/tex]

c.

[tex]Perimeter = 77.54ft[/tex]

Estimate (b) is closer to the actual measurement.

Step-by-step explanation:

Given

[tex]Length = 25.15[/tex]

[tex]Width = 13.62[/tex]

Solving (a): Approximate measurements to whole numbers then estimate the perimeter.

When approximated to whole numbers (i.e. no decimal place), the new measurement is:

[tex]Length = 25[/tex]

[tex]Width = 14[/tex]

The perimeter is calculated as thus:

[tex]Perimeter = 2(Length + Width)[/tex]

[tex]Perimeter = 2(25 + 14)[/tex]

[tex]Perimeter = 2*39[/tex]

[tex]Perimeter = 78ft[/tex]

Solving (b): Approximate measurements to tenth then estimate the perimeter.

When approximated to tenth (i.e. to 1 decimal place), the new measurement is:

[tex]Length = 25.2[/tex]

[tex]Width = 13.6[/tex]

The perimeter is calculated as thus:

[tex]Perimeter = 2(Length + Width)[/tex]

[tex]Perimeter = 2(25.2 + 13.6)[/tex]

[tex]Perimeter = 2*38.8[/tex]

[tex]Perimeter = 77.6ft[/tex]

Solving (c): Exact Perimeter.

Given measurements are:

[tex]Length = 25.15[/tex]

[tex]Width = 13.62[/tex]

The perimeter is calculated as thus:

[tex]Perimeter = 2(Length + Width)[/tex]

[tex]Perimeter = 2(25.15 + 13.62)[/tex]

[tex]Perimeter = 2*38.77[/tex]

[tex]Perimeter = 77.54ft[/tex]

To determine which is nearest, we calculate the absolute difference between each estimate from the actual measurement.

For estimate a

[tex]Difference = |77.54 - 78|[/tex]

[tex]Difference = |-0.46|[/tex]

[tex]Difference = 0.46ft[/tex]

For estimate b

[tex]Difference = |77.54 - 77.6|[/tex]

[tex]Difference = |-0.06|[/tex]

[tex]Difference = 0.06ft[/tex]

The closest to the exact is the one with the smallest difference.

Hence, estimate (b) is closer to the actual measurement.

Answer:

[tex]x\geq 6\text{ or } x<-3[/tex]

Step-by-step explanation:

We have the compound inequality:

[tex]2(x-1)\geq10\text{ or } 3-4x>15[/tex]

Let's solve each of them individually first:

We have:

[tex]2(x-1)\geq10[/tex]

Divide both sides by 2:

[tex]x-1\geq5[/tex]

Add 1 to both sides:

[tex]x\geq6[/tex]

We have:

[tex]3-4x>15[/tex]

Subtract from both sides:

[tex]-4x>12[/tex]

Divide both sides by -4:  

[tex]x<-3[/tex]

Hence, our solution set is:

[tex]x\geq 6\text{ or } x<-3[/tex]

Answer:

x ≥ 6 or x < -3

Step-by-step explanation:

2(x-1) ≥ 10 or 3 - 4x > 15

2x - 2 ≥ 10 4x < -12

x ≥ 6 or x < -3

Topic: Inequalities

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

-13

Step-by-step explanation:

If a = -7 and y = 3, then all we have to do is plug in the given values to the expression we were given!

-2(3) + (-7)

-6 - 7

-13

Answer:

Step-by-step explanation:

-2(3)+-7

-6+(-7)

-13

Answer:a

Step-by-step explanation:hhehenndherndur

Answer

$7

Step-by-step explanation:

10-8= 2

9-2=7

(blue) y= 1/2x -2

(green) y= 9-5x

Answer: 17.25

Step-by-step explanation:

Answer:

11x^2-11x+4

Step-by-step explanation:

(6x ^ 2 - x + 3)-( - 5x ^ 2 + 10x - 1 )

6x^2-x+3+5x^2-10x+1

11x^2-11x+4

So the answer is 11x^2-11x+4