PLEASE HELP ME ILL MARK YOU BRAINLY!!

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Explanation:

The expression g(f(2)) has f(2) as the inner function.

Let's compute f(2)

This means we plug x = 2 into the f(x) function

f(x) = 4x^3 - 10

f(x) = 4(x)^3 - 10

f(2) = 4(2)^3-10

f(2) = 4*8-10

f(2) = 32-10

f(2) = 22

Now we'll plug this into the g(x) function

This is because g(f(2)) = g(22). I've replaced f(2) with 22

So,

g(x) = (3x-4)/2

g(22) = (3*22-4)/2

g(22) = (66-4)/2

g(22) = 62/2

g(22) = 31

Therefore, g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 4x³ - 10

g(x) = (3x - 4) / 2

The function g(f(x)) is written as,

g(f(x)) = [3(4x³ - 10) - 4] / 2

g(f(x)) = [12x³ - 30 - 4] / 2

g(f(x)) = [12x³ - 34] / 2

g(f(x)) = [6x³ - 17]

The value of the function g(f(x)) at x = 2 will be given as,

g(f(2)) = [6(2)³ - 17]

g(f(2)) = 6(8) - 17

g(f(2)) = 48 - 17

g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

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Answer:

answer is 347.6

Step-by-step explanation:

21/7300= 347.6

Answer:

x= -1

Step-by-step explanation:

if

f(x) = -x-3

and

f(x) = -2

than

-x-3 = -2; add 3 to both sides

-x-3+3 = -2+3

-x = 1 ; multiply both sides by -1

x= -1

The system of equations that shows the situation is option 1.  L+J=29  L=2J-10

The question tells us that the summation of the age of Latifa and Jameel is 29

Let J = Jameel

L = Latifa

L + J = 29

The question says that Latifa's age is 2 time of Jameels age = 2J with 10 years subracted

L = 2J - 10

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Answer:

The answer to this question your asking is b

Answer:

13

Step-by-step explanation:

use distance formula \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(7-2)^2+(7-(-5))^2} =13\)

Answer:

Linear

Step-by-step explanation:

Answer: 70%

Step-by-step explanation:

Martha's bakery started with 200 cupcakes in the morning and after a busy afternoon there were only 60 cupcakes left, this means that 200 - 60 = 140 cupcakes were sold.

The percentage drop will be:

= 140/200 × 100

= 70%

Answer:

12 packages 2 books 5 crayons and 7 markers

Step-by-step explanation:

Step-by-step explanation:

5⁴+5³-6(5)²-5(5)-15

= 560

The equivalent expression of -14 - 6 is -14 - (+6)

Equivalent expressions are expressions that have the same value when evaluated

The expression is given as:

-14 - 6

Put the terms of the expression in brackets

-14 - (6)

Rewrite 6 as +6

-14 - (+6)

Hence, the equivalent expression of -14 - 6 is -14 - (+6)

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Answer:

180=34+4x+90

180=124+4x

4x=56

X=14

Answer:

table b

Step-by-step explanation:

Edge

Answer:

below is correct

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i got 20/8 from multiplying same with 1/2

20/8 - 1/2 = 2

Answer:

C) -2/9

Step-by-step explanation:

\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)

Answer:

Hence, Option (C) - 2/9 is the Answer:

Step-by-step explanation:

-1/6 [3 -15(1/3)^2]

-1/6(3 -15)(1/9))

-1/6(3 - 5/3)

-1/6 (4/3)

Hence, Option (C) - 2/9 is the Answer:

I hope it helps!

Using cosine law in the triangle given, the length of BC is 32 units

The law of cosines (also known as the cosine formula) is an equation that relates the lengths of the sides of a triangle to the cosine of one of its angles. It states that:

a² = b² + c² - 2(b)(c) Cos(A)

In the given problem, the data;

Substituting the values into the formula and solve for BC;

BC² = 29² + 23² - 2(29)(23) Cos 75

BC² = 1024.735393

BC = √1024.735393

BC = 32.01

BC ≈ 32

The length of side BC in the triangle is 32 units

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Answer:

33

Step-by-step explanation:

333333333333333333333

Answer:

X=−10

Step-by-step explanation:

i hope this helps you ^_^

have a nice day/night

Equation/Question:

1/2(x-106)=12+7x

Answer/Steps to answer: (x= -10)

1. Simplify  1/2(x-106) to x-106/2.

x-106/2=12 + 7x

2. Multiply both sides by 2.

x−106=24+14x

3. Subtract x from both sides.

−106=24+14x−x

4. Simplify  24+14x-x to  24+13x.

-106=24+13x

5. Subtract 24 from both sides.

-106-24=13x

6. Simplify  -106-24 to −130.

-130=13x

7. Divide both sides by 13.

130/13=x

8. Simplify  130/13 to  1010.

-10=x

9. Switch sides.

x=-10

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

Checking:

1/2(x−106)=12+7x

1. Let x=-10x=−10.1

1/2​(−10−106)=12+7×−10

2. Simplify -10-106 to −116.

1/2​×−116=12+7×−10

3. Move the negative sign to the left.

-116/2=12+7×−10

4. Simplify 116/2 to 58

−58=12+7×−10

5. Simplify 7×−10  to −70.

−58=12−70

6. Simplify  12-70 to −58.

−58=−58

Done by NeighborhoodDealer

Answer:

100 more teenagers rode the new attraction.

Step-by-step explanation:

Please name me brainiest and verify this answer please. and say thank you

By solving a system of equations, we will see that 7 liters of fruit juice are needed.

Let's define the variables:

x = liters of fruit juice.

y = liters of fruit drink.

We know that the mixture has 10 liters, then:

x + y = 10

And the concentration of these 10 liters is 8%, then the concentration equation is:

x*0.05 + y*0.15 = 10*0.08

Then we have a system of equations:

x*0.05 + y*0.15 = 10*0.08

x + y = 10

Isolating y on the second equation, we get:

y = 10 - x

Replacing that in the first equation we get:

x*0.05 + (10 - x)*0.15 = 10*0.08

x*0.05 + 1.5 - x*0.15 = 0.8

-x*0.10 = 0.8 - 1.5

x*0.10 = 0.07

x = 0.7/0.10 = 7

So 7 liters are used.

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Answer:

The line is parallel to y + x =3

=> y = -x+3

the slope = -1

passes (-12, 0)

the equation would be :

y-0 = -1(x+12)

y = -x -12 Y=-x+12

Turn into mx+b form.

Y=-x+3

Plug in (-12,0)

0=-12+b

b=12

y=-x+12

It is negative X, because the slope has to be the same since it is paralle

Step-by-step explanation:

Step-by-step explanation:

a normal function expresses y (the functional result) in terms of x (and constants).

we need to transform this to express now x in terms of y (and constants).

at the end we only rename x into y and y into x to make it an actual function.

h(x) = y = (-5x + 6)/(3x + 4)

y(3x + 4) = (-5x + 6)

3xy + 4y = -5x + 6

4y - 6 = -5x - 3xy = x(-5 - 3y)

x = (4y - 6)/(-5 - 3y)

and after renaming we get therefore the function

y = h-1(x) = (4x - 6)/(-3x - 5)

The measure of angle ADC in the geometric system is equal to 55°.

In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:

m ∠ CDE + m ∠ EDF = 180°

(2 · x + 1) + (x - 7) = 180°

3 · x - 6 = 180°

3 · x = 186°

x = 62

m ∠ CDE = 2 · x + 1

m ∠ CDE = 2 · 62 + 1

m ∠ CDE = 125°

m ∠ ADC = 180° - 125°

m ∠ ADC = 55°

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Answer:

Well mixed number is something with a whole.

Remeber a decimal goes by the place value of tenths right away.

Now if you follow along 1.43 is basically saying 1 and 43 hundreths  

Becuase normal place value go

tenths

Hundreths

thousandths

ten thousandths

hundred thousandths

millionth

etc.

and that Saying 1 43/100

So your mixed number is 1 43/100

Your improper would jsut be

Multiplying the denominator with the whole number

Then add that product to the numerator, keep the denominator the same

so 143/100

Solution:

From the information given:

Calculate the z-score

The empirical state as shown below

We can see in the illustration above that population within 2 standard deviation is 95% (i.e 0.95).

However, The question says to find the probability that a houseplant will be longer than 16 inches, that is above 2 standard deviation from our calculation

This gives 1-0.95 = 0.05

Answer:

The Answer Is (C.

Step-by-step explanation: I took the test :)

Answer:

c)  is the true answer

Step-by-step explanation:

Answer:

\(82\sqrt{21}\text{ or approximately 375.77 miles per hour}\)

Step-by-step explanation:

Please refer to the diagram below. R is the radar station and x is the distance from the station to the plane.

We are given that the plane is flying horizontally at an altitude of two miles and at a speed of 410 mph. And we want to find the rate at which the distance from the plane to the station is increasing when it is five miles away from the station.

In other words, given da/dt = 410 and x = 5, find dx/dt.

From the Pythagorean Theorem:

\(a^2+4=x^2\)

Implicitly differentiate both sides with respect to time t. Both a and x are functions of t. Hence:

\(\displaystyle 2a\frac{da}{dt}=2x\frac{dx}{dt}\)

Simplify:

\(\displaystyle a\frac{da}{dt}=x\frac{dx}{dt}\)

Find a when x = 5:

\(a=\sqrt{5^2-2^2}=\sqrt{21}\)

Therefore, dx/dt when da/dt = 410, x = 5, and a = √(21) is:

\(\displaystyle \frac{dx}{dt}=\frac{(\sqrt{21})(410)}{5}=82\sqrt{21}\approx 375.77\text{ mph}\)

The rate at which is distance from the plane to the radar station is increasing at a rate of approximately 375.77 miles per hour.

Answer:

the answers are below

Step-by-step explanation:

1. the populaton of ths study are the college students that are beng tested on the effect of alcohol on their emotions. college students are the main focus of this experiment.

2. The sample for this study is the 120 students from the University. the sample of a study is actually the number of participants in that study. this queston says that they are 120

3. the null hyothesis:

 h₀ : alcohol has no effect on college students emotions

4. the alternate hypothesis:

 h₁: there is effect of alcohol on college students emotions

5. The researcher would have to use a t test which is an inferential statistical test. A t test is used to test for the existence of statistical difference between two means that may have similar features