Function A is represented by the equation y = 4x + 6.
Function B is a linear function that goes through the points shown in the
table.
x 1
3 4
ic
y 3 9 12 18
Which statement correctly compares the rates of change of the two
functions?
A. The rate of change of function A is 6.
The rate of change of function B is 3.
B. The rate of change of function A is 4.
The rate of change of function B is 6.
OC. The rate of change of function A is 6.
The rate of change of function B is 6.
D. The rate of change of function A is 4.
The rate of change of function B is 3

Answer:

The volume of the prism is x^3 + 16x^2 + 63x

Step-by-step explanation:

Mathematically, the volume of the prism is the area of the base multiplied by the height of the prism

The area of the base is l * w

= (x + 7)(x + 9) = x^2 + 7x + 9x + 63 = x^2 + 16x + 63

The volume is now; x(x^2 + 16x + 63)= x^3 + 16x^2 + 63x

Answer:

[tex]x_1=\mathbf{i}\sqrt{6},\ x_2=-\mathbf{i}\sqrt{6},\ x_3=\sqrt{3},\ x_4=-\sqrt{3}[/tex]

Step-by-step explanation:

Biquadratic Equations

Solve:

[tex]x^4 + 3x^2 - 18 = 0[/tex]

The biquadratic equations are equations of degree 4 without the terms of degree 1 and 3.

Solving such equations requires to express the equation as a second-degree equation with [tex]x^2[/tex] as the variable.

Rewriting the equation:

[tex](x^2)^2 + 3(x^2) - 18 = 0[/tex]

The quadratic equation can be factored as:

[tex](x^2+6)(x^2-3)=0[/tex]

It leads to two equations:

[tex]x^2+6=0[/tex]

[tex]x^2-3=0[/tex]

The first equation has imaginary roots. Solving for x:

[tex]x^2=-6[/tex]

[tex]x=\pm\sqrt{-6}[/tex]

[tex]x_1=\mathbf{i}\sqrt{6}[/tex]

[tex]x_2=-\mathbf{i}\sqrt{6}[/tex]

Where

[tex]\mathbf{i}=\sqrt{-1}[/tex]

The second equation has two real roots:

[tex]x^2-3=0[/tex]

[tex]x^2=3[/tex]

[tex]x=\pm\sqrt{3}[/tex]

[tex]x_3=\sqrt{3}[/tex]

[tex]x_4=-\sqrt{3}[/tex]

The roots are:

[tex]\mathbf{x_1=\mathbf{i}\sqrt{6},\ x_2=-\mathbf{i}\sqrt{6},\ x_3=\sqrt{3},\ x_4=-\sqrt{3}}[/tex]

Answer:

2x^2-5x-12

Step-by-step explanation:

using foil this should be the answer, do you need the solution values?

Answer:

13)60°

14)90°

15)-270°

16)-180°

17)30°

18)150°

19)120°

20)300°

21)210°

22)-315°

23)450°

24)720°

25)-1260

26)-810°

27)45°

28)135°

29)-300°

30)15°

31)1170°

32)-240°

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

Answer:

2 x − y = − 9

Step-by-step explanation:

I am not 100% sure but I think this is right.

Answer:

Step-by-step explanation:

2x+y=9

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a ) Two matrices cannot be multiplied.

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b )

The answer is | 20 - 4 - 12 |

| 8 2 19 - |

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Answer:

17.647 = 18%

Step-by-step explanation:

I hope this helps also pls rate brainliest

Answer:

1&1/8 m/h

Step-by-step explanation:

2/8 of a mile = 1/8 of an hour

add 7/1 to both sides thats 1 and 1/8 of a mile in 1 hour

Answer:The answer is the option C

Step-by-step explanation:we know that

In a right triangle the Pythagorean Theorem states that

where

c is the hypotenuse (the greater side)

a,b are the legs of the right triangle

in this problem we have

substitute the values

Answer:

15^2 + 16^2= x^2

Step-by-step explanation:

I took the usa test prep test and this is how you calculate it

Answer:

The unit rate is:

Step-by-step explanation:

As Chet was eating 1/4 of a turkey every 2 hours.

This tells us that every two hours, Chet will eat  175  1/4 of a turkey.

A unit rate is a rate with a denominator of  1  unit.

This means, in 1 hour, Chet will eat half of what he eats every 2 hours.

so Chet will eat [tex]\frac{\frac{1}{4}}{2}=\frac{1}{8}[/tex] of a turkey in 1 hour.

i.e.

[tex]\frac{\frac{1}{4}}{2}=\frac{1}{8}[/tex]

Therefore, the unit rate is:

Answer:

Step-by-step explanation:

is your qustion like -8-16 because its -24

Answer:

y = 4x + 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (- 8, - 16) into the partial equation

- 16 = - 32 + c ⇒ c = - 16 + 32 = 16

y = 4x + 16 ← equation of line

Answer:

the slope is 1

the y-int is -2

Answer:

Slop=1  y-intercept=-2

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

I got this because it is rise over run

[tex]\frac{rise}{run} =\frac{6}{?} =2[/tex]

The missing number would be 3, and if you add that three to 4 you get 7. which means that the answer is...

(7,12)

Answer:

392000

Step-by-step explanation:A=p(1+

Answer:

C. 3x + 5  = 2x -6

Step-by-step explanation:

Answer:

y = (x - 6)(x + 1)

Step-by-step explanation:

Use factored form, y = a(x - r1)(x - r2), where r1 and r2 are roots.

Since the solutions are 6 and -1, plug in these numbers:

y = (x - 6)(x + 1)

So, the factored equation is y = (x - 6)(x + 1)

Answer: (x-6)(x+1)

Step-by-step explanation:

Answer:

Speeding at 160.934 km/hr

Step-by-step explanation:

1 mile = 1.609344 kilometers

1.609344 * 100 = 160.934 kilometers

Answer:

Choice D

Step-by-step explanation:

When you convert a unit to a smaller unit it will always get bigger so in this case you will move the decimal point to the right so 21.5 will become 215.

Answer:

D) 215 millimeters

Step-by-step explanation:

Answer:

58.56

Step-by-step explanation:

Answer:

The answer would be 126

Step-by-step explanation:

you add 28+35 which is 63, then you multiply by 8 which is 504 and you multiply by 1/4 which is 126 :)

Answer:

Yes, you can and the answer would be 1.09.

Step-by-step explanation:

Answer:

[tex]38.4\ \text{units of fuel/mile}[/tex]

10

Step-by-step explanation:

Let [tex]N[/tex] represent the number of rail cars on the train

Each rail car adds 2.2 units of fuel per mile.

Fixed fuel consumption is 12 units of fuel per mile

The function of fuel consumption per mile is

[tex]f(N)=12+2.2 N[/tex]

when

[tex]N=12[/tex]

[tex]f(12)=12+2.2\times 12\\\Rightarrow f(12)=38.4\ \text{units/mile}[/tex]

[tex]\boldsymbol{f(12)=38.4\ \text{units/mile}}[/tex]

[tex]f(N)=34\\\Rightarrow 12+2.2N=34\\\Rightarrow N=\dfrac{34-12}{2.2}\\\Rightarrow N=10[/tex]

So, the number of rail cars when [tex]f(N)=34[/tex] is 10.

it is proportional

cause it is trust me

Answer: it's proportional

Step-by-step explanation:

Answer:

1. yes, 3:2

2. no, population has an unproportional rate of change.

3. no, miles have an unproportional rate of change.

4. yes, 8:1

5. no, questions have an unproportional rate of change.

6. yes, 5:2

7. yes, 9:1

8. no, pounds have an unproportional rate of change.

9. no, days have an unproportional rate of change.

10. yes, 3:1

Step-by-step explanation:

3x-2x -x = 2-2

x=0

the solutions =2

1) must moves the numbers

2) solve them

Step-by-step explanation:

y1/x1=y2/x2

2/5÷1/3=y÷1/4

y=3/10=0.3

Answer:

−

2

2

=

2

(

−

1

0

)

x-22={\color{#c92786}{2(x-10)}}

x−22=2(x−10)

−

2

2

=

2

−

2

0

Step-by-step explanation:

Answer:

x=-21

Step-by-step explanation:

first expand the brackets

-22=2x-20

then make x on its own

-42=2x

then dived by 2

-21=x

9514 1404 393

Answer:

Step-by-step explanation:

For l laps around a 1/4 mile track, the total distance is ...

  l×(1/4)

After adding 2 1/2 miles to that, Gabriella's total distance was 4 miles:

  l×(1/4) +(2 1/2) = 4 . . . . an equation to find l

__

We can solve this equation by subtracting 2 1/2, then multiplying by 4.

  l×(1/4) = 1 1/2

  l = 4(1 1/2)

  l = 6

Gabriella ran 6 laps on the track.

Answer:

Step-by-step explanation:

2x+51=4x+19

32=2x

x=16. The weight is 16 pounds

plug it back in to find the cost

32+51=83. 64+19 = 83. The cost is 83 dollars