If f(x)= 3x^2- 4 and g(x) = 2x-6, what is g(f(2))?
-16
0-2
O 8
10

Answer:

c. fbd is right angle

Step-by-step explanation:

fbd=fbe+ebd=65+25=90= right angle

therefore ans is c

Answer:

186.5663

Step-by-step explanation:

12*9=108

11*6=66

pi4^2=50.26548/4=12.5663

add all together

186.5663

Answer:

False

Step-by-step explanation:

2^2=4

4x4=16

3x16=48

48=39

The numbers don't match.

Hence, the equation is false.

Answer: It is wrong when you multiply it it becomes 48 so it is false

Step-by-step explanation:

Answer:

h=m+43, 66cm

Step-by-step explanation:

For each month, it grows by one centimeter, which is represented by 1m or just m. You also have to add the height it already has, which makes h=m+43. For 21 months, substitute 21 for m to get h=21+43 which simplifies into h=66 cm

Answer:

366.6

Step-by-step explanation:

55 divided by 15=36.6

Then you multiply it by 100 which equals 366.6

Answer:

Is always a parallelogram

Step-by-step explanation:

it has equal sides uwuwuwuwuwuwuwuwu

Answer: a parrallelogram  is never a hexagon

Step-by-step explanation:

a hexagon can be a parallelogram but a parallelogram can be a rhoumbus,rectangle and square

Answer:

Parallel line: [tex]y=4x+33[/tex]

Perpendicular line: y = [tex]\frac{-1}{4}x-1[/tex]

Step-by-step explanation:

From the given equation [tex]y=4x-2[/tex], the number multiplied by [tex]x[/tex] is the slope of that equation, so the slope is 4 in this case.

Let's use the point slope form in this question:

[tex]{y-y__1}=m({x-x__1})[/tex]

where [tex]{x__1}[/tex] and [tex]y__1[/tex] are the given points in your question:

[tex]{x__1}=-8[/tex]

[tex]{y__1} = 1[/tex]

and m is the slope.

Parallel line:

Since parallel means the same slope as the given equation, we put [tex]m = 4[/tex] first.

[tex]{y-1}=4({x-(-8)})[/tex]

[tex]y=4x+33[/tex]

This is the equation that is parallel to [tex]y=4x-2[/tex] and also passes through [tex](-8,1)[/tex].

Perpendicular line:

Since perpendicular means exactly 90° with the given equation, multiplying their slopes and the product will always be [tex]-1[/tex].

Let's find m first,

[tex]4* m = -1[/tex]

[tex]m = \frac{-1}{4}[/tex]

Now using the same point slope form with the same [tex]x__1[/tex] and [tex]y__1[/tex]:

[tex]{y-y__1}=m({x-x__1})[/tex]

[tex]{y-1}=\frac{-1}{4} ({x-(-8)})[/tex]

[tex]y=\frac{-1}{4}x-1[/tex]

This is the equation that is perpendicular to [tex]y=4x-2[/tex] and also passes through [tex](-8,1)[/tex].

Answer:

12.56 yards

Step-by-step explanation:

circumference = π x diameter

4 x 3.14 = 12.56

Answer:

12.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Triangle inequality theorem: for any given triangle, the sum of two sides of a triangle is always greater than the third side.

side 1 ----Your position-library

side 2----- library-principal

side 3----  your position -library

The sum of 1+2 is greater than 3

Answer:

y+4=3(x+2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-(-4))/(2-(-2))

m=(8+4)/(2+2)

m=12/4

m=3

y-y1=m(x-x1)

y-(-4)=3(x-(-2))

y+4=3(x+2)

Answer: h(-3) = -38

Step-by-step explanation:

x(-3)^2 = 9

2(-3) = -6

h(-3) = -2(9 - -6 + 4)

h(-3) = -2(19)

h(-3) = -38

Answer: 5/12

Step-by-step explanation:

Answer:

can u please tell what is 158° here

Answer:

x = 11

Step-by-step explanation:

the inscribed angle CDE is half the measure of its intercepted arc CE , so

8x - 9 = [tex]\frac{1}{2}[/tex] × 158 = 79 ( add 9 to both sides )

8x = 88 ( divide both sides by 8 )

x = 11

1. ⬛⬜⬜⬜
   ⬛⬛⬛⬜

2. I would need more information on this problem to help you. Sorry :((

3. Right Triangle is correct.

4. g = 33 - 8 - 9
g = 25 - 9
g = 16

5. ⚫◐◯

Answer:

0.02835

Step-by-step explanation:

Let p be the probability who are in favor of the project and q be the probability who are not in favor of the project.

p = 30% = 0.30

q = 1 - p = 1 - 0.30 = 0.70

n = 5, x = 4

Now, by binomial distribution formula:

[tex]P(X=x)=^nC_x \:p^x \:q^{n-x}[/tex]

[tex]\implies P(X=4)=^5C_4\: (0.30)^4\: (0.70)^{5-4}[/tex]

[tex]\implies P(X=4)=5 (0.30)^4 \:(0.70)^{1}[/tex]

[tex]\implies P(X=4)=5 (0.0081) \:(0.70)[/tex]

[tex]\implies P(X=4)=0.02835[/tex]

The probability that exactly 4 of them favor the new building project is 0.02835.

Michelle's  balance after 8 years is $10,790.48.

Kristen's balance after 8 years is $3,770.55.

Gabriella's balance after 8 years is $24,780.42.

Judy's balance after 8 years is $3618.62.

The person with the most money at the end of the 8 years is Gabriella. If I were to choose one of the options, I would choose Gabriella's option

The formula that can be used to determine the future value of an amount with compounding is:

FV = P (1 + r)^nm

Where:

Future value with monthly compounding = $2000 x ( 1 + 0.035/12)^(12 x 8) = $2645.18

Future value with continuous compounding =  : A x e^r x N

1000 x e^0.018 x 8 = $8,145.30

Total = $8,145.30 + $2645.18 = $10,790.48

Future value with quarterly compounding = 2500 x (1 + 0.012 / 4)^(4 x 8) = $2,751.50

Future value with quarterly compounding = 500 (1 .0225)^(8x4) = $1019.05

Total = $3,770.55

$3000 x e^0.032 x 8 = $24,780.42

Future value with exponential increase = 1050 x (1.015)^8 = $1,182.82

Future value with biannual compounding = 1950 x (1 + 0.028/2)^(8 x 2) = $2435.80

Total = $3618.62

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

B

Step-by-step explanation:

the options A and B are the ones that make sense

to get rid of one of the options, you have to substitute.

lets try 6

5+ 3.5(6)= 5+21= 26

3+ 4(6)= 3+24 = 27

in that example, the Bowling Pin is the best deal for Tina

using simultaneous equation:

2x + 3y = 190

3x + y = 180  * 3

Then:

2x + 3y = 190

9x + 3y = 540

--------------------

-7x = -350

x = 50

Insert this in equation 1 to find value of y:

2x + 3y = 190

2(50) + 3y = 190

3y = 190 - 100

3y = 90

y = 30

expanding the following:

→ (x + 2)³

[tex]\sf apply \ cubic \ formula : \bold{\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3}[/tex]

[tex]\rightarrow \sf x^3+3x^2\cdot \:2+3x\cdot \:2^2+2^3[/tex]

[tex]\rightarrow \sf x^3+6x^2+12x+8[/tex]

Justify for x = 5

[tex]\rightarrow \sf (5)^3+6(5)^2+12(5)+8[/tex]

[tex]\rightarrow \sf 125+150+60+8[/tex]

[tex]\rightarrow \sf 343[/tex]

Answer:

Step-by-step explanation for (a):

First use system of equations. Isolate a variable and substitute.

2x + 3y = 190

3x + y = 180

Isolate

subtract 3x from both sides of the second equation

y = 180 - 3x

since 180 - 3x = y, you can substitute this into the first equation for y

Substitute

2x + 3y = 190

2x + 3(180 - 3x) = 190

Distribute the 3

2x + (540 - 9x) = 190

Solve for x

subtract 540 from both sides

2x - 9x = -350

simplify

-7x = -350

divide each side by -7

x = 50

But you still need to solve for y, so substitute the x back into the first equation.(But really you could use either equation)

2(50) + 3y = 190

subtract 100 (2 * 50) from both sides

3y = 90

y = 30

Check your work by resubstituting.

3(50) + 30 = 180.

(b) This one is weird.

(Remember, it is NOT (x^3 + 8), you don't "distribute" the exponent)

It then simplifies to x^3 + 6x^2 + 12x + 8, and x = 5 is NOT an answer here. Maybe there is something more that you might not have screenshotted?

*edit its not asking to prove x is a solution(which i thought lolllll) its asking to plug x = 5 into the equation*

Answer:

25%

Step-by-step explanation:

3 bears increase is a fourth of 12. So a fourth of 100 is 25 percent increase.

Answer:

20 years

Step-by-step explanation:

let the present age of father=x

[tex]\frac{x}{15} =\frac{10}{3} \\x=\frac{10}{3} \times 15=50 \\[/tex]

present age of father=50 years

let after y years ages are in the ratio 2:1

[tex]\frac{50+y}{15+y} =\frac{2}{1}[/tex]

50+y=2(15+y)

50+y=30+2y

50-30=2y-y

20=y

Answer:

=15x

Step-by-step explanation:

Answer:

Step-by-step explanation:

5) Volume  = Volume of rectangular prism 1  + volume of rectangular prism2

 =  10* 6 * 4 +  (7*4*2)

 = 240 + 56

 = 296 cm³

6) Volume = (5*6*8) + (9*6*2)

                  = 240 + 108

                   = 348 ft³

7) Volume = (11*12*4) + (5*5*12)

                 = 528 + 300

                 = 828 m³

Answer:

-x(x+2)(x-4)

not sure what answer choice it is

Answer:

1.68 seconds.

Step-by-step explanation:

The question, is, essentially asking for time, t, at position 325 feet.

So:

Set h(t) equal to 325.

325 = 16t^2 + 168t + 5

Subtract 325 over, to get the quadratic:

0 = 16t^2 + 168t - 320

Factor out an eight, simply to make the equation easier:

0 = 2t^2 + 21t - 41

Now, use the quadratic formula to find the "zeros", or solutions:

{-21 + (21^2 - [(4)(2)(-41)]^.5}/(2)(2); {-21 - (21^2 - [(4)(2)(-41)]^.5}/(2)(2)

Simplify:

(-21 + [441 + 328]^.5)/4; (-21 - [441 + 328]^.5)/4

(-21 + [769]^.5)/4; (-21 - [769]^.5)/4

(-21 + 27.73)/4; (-21 - 27.73)/4

(6.73)/4; (-48.73/4)

t = 1.68, -12.18

It makes no sense for t to be negative, since t represents time.

Therefore, the potato is 325 feet in the air after 1.68 seconds.

I hope this helped! :)

The potato is 325 feet in the air after 1.68 seconds on the way back down.

The quadratic function is defined as a function containing the highest power of a variable is two.

The question is effectively inquiring about time, t, at 325 feet.

Set h(t) equal to 325.

325 = 16t² + 168t + 5

Subtract 325 over, to get the quadratic:

0 = 16t² + 168t - 320

Factor out an eight, simply to make the equation easier:

0 = 2t² + 21t - 41

2t² + 21t - 41 = 0

Compare the given function to the standard quadratic function f(x) = ax² + b x + c.

We get a = 2, b = 2 and c = -12

Now, use the quadratic formula to find the "zeros", or solutions:

[tex]\quad x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]t=\dfrac{-21\pm \sqrt{21^2-4\cdot \:2\left(-41\right)}}{2\cdot \:2}[/tex]

[tex]\sqrt{21^2-4\cdot \:2\left(-41\right)}[/tex]

[tex]=\sqrt{21^2+328}[/tex]

t = (-21 + 27.73)/4; (-21 - 27.73)/4

t = (6.73)/4; (-48.73/4)

t = 1.68, -12.18

Because t symbolizes time, it makes no sense for it to be negative.

As a result, after 1.68 seconds, the potato is 325 feet in the air.

Learn more about quadratic function here:

brainly.com/question/14083225

#SPJ2

Step-by-step explanation:

[tex] \cos((90 - a) - b) = \cos(90 - a) \cos(b) + \sin(90 - a) \sin(b) [/tex]

[tex] \sin(a) \cos(b) + \cos(a) \sin(b) [/tex]

The true equation for this situation is given as JK/IK = MK/LK

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Both triangles IJK and triangle KLM are similar triangles. Hence:

JK/IK = MK/LK

The true equation for this situation is given as JK/IK = MK/LK

Find out more on similar figures at: https://brainly.com/question/14285697

Answer:

[tex]\frac{3}{4} -\frac{1}{10} =\frac{15}{20} - \frac{2}{20} =\frac{13}{20}[/tex]

so hence, Your answer is 13/20

And the rest blanks are also included in this!

Thanks!

Answer:

D. (1, 5, 2)

Step-by-step explanation:

Substitute all numbers into the variables