how to do this question plz ​

Answer:

Step-by-step explanation:

[tex]f(x) = x^2 + x\\g(x) = 3x + 1\\\\g(f(-2)) = ?\\f(-2) =?\\[/tex]

To find f(-2) , Substitute -2 for x in the given equation ;

[tex]f(-2)= (-2)^2 +(-2)\\f(-2) = 4-2\\f(-2) = 2[/tex]

To find g(f(-2)) ;

[tex]g(f(-2))\\f(-2) =2\\\\= g(f(-2)) = g(2)\\[/tex]

To find g(2) , substitute 2 for x in the given equation

[tex]g(x) = 3x+1\\g(2) = 3(2)+1\\\\g(f(-2)) = 6+1\\\\g(f(-2))=7[/tex]

Value of g(f(-2)) is equals to 7.

"Composition function is defined as where two function combined together to create a new function. It is denoted by 'o'."

According to the question,

Given,

f(x) = x² + x

g(x) = 3x + 1

Substitute the value x=-2 in function f(x) we get,

f(-2) = (-2)² +(-2)

      = 4 -2

      = 2                                         ______(1)

Again substitute the value of x = f(-2) in g(x) to get composition function,

g(f(-2)) = 3f(-2) +1

Substitute the value f(-2) from (1) we have,

   g(f(-2)) = 3(2) + 1

⇒ g(f(-2)) = 7

Hence, value of g(f(-2)) is equals to 7.

Learn more about composition function here

https://brainly.com/question/20379727

#SPJ2

Answer:

Step-by-step explanation:

400 meters/54 seconds = 7.407 meters per second. when rounded to the nearest 10th you would get 7.4

Answer - 7.4

Answer:

4+x

Step-by-step explanation:

[tex]Let\: the\:unknown\:number\:be \:x\\\\= x +4[/tex]

Answer:

x + 4

Step-by-step explanation:

The sum - '+'

Of a number - 'x'

And four - '4'

The sum of a number and 4 would be 'x + 4'.

Hope this helps.

Answer:

First, you have to substitute your x and y.

This looks like

(-6)(-2 - 12) because you multiplied (-2)(1) and (-4)(3)

Then, you have to do what's in the parenthesis because of order of operations.

(-6)(-14)

The answer is 84 I believe.

Answer:

fundamental orders of connecticut

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{5+4i}{-3-2i}\\\\\mathrm{Apply\:complex\:arithmetic\:rule}:\\\\\quad \frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}\\\\a=5,\:b=4,\:c=-3,\:d=-2\\\\=\frac{\left(5\left(-3\right)+4\left(-2\right)\right)+\left(4\left(-3\right)-5\left(-2\right)\right)i}{\left(-3\right)^2+\left(-2\right)^2}\\\\Refine\\=\frac{-23-2i}{13}\\\\[/tex]

[tex]\mathrm{Rewrite\:}\frac{-23-2i}{13}\mathrm{\:in\:standard\:complex\:form:\:}-\frac{23}{13}-\frac{2}{13}i\\[/tex]

Answer:

1)     x = 24

    AB = 33

    AD = 33

2)     x = 7

    PS = 21

    QR = 21

3)    x = 36

      K = 104

     N = 76

Step-by-step explanation:

1)  5x-87 = x+9

   4x = 96

   x = 96/4

   x = 24

   AB = 5(24)-87 = 33

   AD = 24 + 9 = 33

2)  4x - 7 = 3x

     x = 7

    PS = 4(7) - 7 = 21

    QR = 3(7) = 21

3)  x + 68 + 2x + 4 = 180

    x = 36

    K = 36 + 68 = 104

    N = 2(36) + 4 = 76

Answer:

The answer is 23/18..

5/6+4/9=23/18.

Answer:

Exact Form:

23/18

Decimal Form:

1.27

Mixed Number Form:

1 5/18

Step-by-step explanation:

Answer:

[tex]\huge\boxed{y = -5x - 4}[/tex]

Write an equation in the format y = mx + b, or the slope-intercept formula, where:

m = slope

b = y-intercept

Plug in the values given:

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

Simplify:

y = -5x - 4. This is the equation in slope-intercept form.

Answer: y=-5x-4

Step-by-step explanation:

Slope intercept form is y=mx+b

Since m represents slope you will plug in -5 because that is your slope.

Since b represents the y-intercept, you will plug in -4 after y=-5x

so therefore your equation is y=-5x-4

Tried my best to explain...

Answer:

20 weeks

Step-by-step explanation:

To be able to find the amount of weeks that it will take them to have the same amount, you can say that the amount that Brad saves each week for the number of weeks is equal to the amount that Samantha saves each week for the number of weeks plus the initial amount she has:

(16*1/2)*x=((9*2/3)*x)+40, where

x is the number of weeks

Now, you have to solve for x:

8x=6x+40

8x-6x=40

2x=40

x=40/2

x=20

According to this, the answer is that it will take them 20 weeks to have the same amount in savings.

Answer:

167°

Step-by-step explanation:

The supplement of an angle will always be the measure of an angle, when added to the original, will equal 180°.

If we know the measure of 1 of these angles, we can easily find the measure of the other, assuming x is the missing angle measure.

[tex]13+x=180[/tex]

We can subtract 13 from both sides to get the value of x.

[tex]13+x-13=180-13\\\\x=167[/tex]

Hope this helped!

Answer:

167

Step-by-step explanation:

Supplementary angles add to 180

x+13 = 180

Subtract 13 from each side

x = 180-13

x =167

The supplement to 13 is 167

Answer:

The expression is false

Step-by-step explanation:

Given

[tex]f - (g - h) = (f - g) - h[/tex]

Required

True or False

To determine if the expression is true or false, we need to simplify both sides of the equation

[tex]f - (g - h) = (f - g) - h[/tex]

Start by opening the bracket on the right hand side

[tex]f - (g - h) = f - g - h[/tex]

Then open the bracket on the left

[tex]f - g + h = f - g - h[/tex]

Subtract f - g from both sides

[tex]f - g - (f - g) + h = f - g - (f - g) + h[/tex]

[tex]f - g - f + g + h = f - g - f + g - h[/tex]

[tex]f - f - g + g + h = f - f - g + g - h[/tex]

[tex]h \neq -h[/tex]

Hence;

The statement is false

To further check;

Assume f = 5; g = 4 and h = 3

[tex]f - (g - h) = (f - g) - h[/tex] becomes

[tex]5 - (4 - 3) = (5 - 4) - 3[/tex]

[tex]5 - 4 + 3 = 5 - 4 - 3[/tex]

[tex]2 \neq -2[/tex]

Answer:

the answer is 3820

Step-by-step explanation:

first you do 28 +38 which is 393 and then you do 383_jals which is 69, please mark me as brainiest

Answer:

77

Step-by-step explanation:

3.5(11)+1.9(11)+1.6(11)

3.5(11)=38.5

1.9(11)=20.9

1.6(11)=17.6

38.5+20.9+17.6

77

Answer:

They are equal.

Step-by-step explanation:

Step 1: Evaluate 16/28

16/28 = 0.571429...

Step 2: Evaluate 28/49

28/49 = 0.571429...

Step 3: Compare

0.571429... ? 0.571429...

0.571429... = 0.571429...

So 16/28 = 28/49

Answer:

D. -3x

Step-by-step explanation:

Terms have the form k or kx^n, where k is a number, x is a variable, and n is a whole number.

-3x follows the above rule, so -3x is a term.

Answer:

D

Step-by-step explanation:

Hi...

Answer: 8 Because i do math and got 8

Step-by-step explanation:

Take the LCM of the denominators:

=> LCM = 18

=> -7/9 x 2/2 = -14/18

=> -4/9 x 2/2 = -8/18

=> 1/9 x 2/2 = 2/18

=> 1/2 x 9/9 = 9/18

When the number is negative, the greater the number, the smaller it is.

So, -14 is smaller than -8.

< = smaller than

=> -14/18 < -8/18 < 2/18 < 9/18

=> -7/9 < -4/9 < 1/9 < 1/2

Answer:

-7/9, -4/9, 1/9, 1/2

There's no change as this list is already from smallest to largest

==========================================================

Explanation:

We can get each denominator to 18 as this is the LCD (lowest common denominator)

-7/9 = -14/18 ... multiply top and bottom by 2

-4/9 = -8/18 ... multiply top and bottom by 2

1/9 = 2/18 ... multiply top and bottom by 2

1/2 = 9/18 ... multiply top and bottom by 9

We now have to sort this list {-14/18, -8/18, 2/18, 9/18}

Which is the same as sorting {-14, -8, 2, 9} since we can focus solely on the numerators. This only applies when the denominators are the same.

The list {-14, -8, 2, 9} is already sorted from smallest to largest. Think of a number line. We would have -14 as the left most value, then -8 is next, followed by 2 and then 9.

So the original list of fractions {-7/9, -4/9, 1/9, 1/2} is already sorted from smallest to largest.

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

An alternative is to use your calculator to see that

-7/9 = -0.78 approximately

-4/9 = -0.44 approximately

1/9 = 0.11 approximately

1/2 = 0.50

The order from least to greatest is

-0.78, -0.44, 0.11, 0.50

The -0.78 is smaller than -0.44 since its further away from 0

So the order would be

-7/9, -4/9, 1/9, 1/2

and there's no change from the original order your teacher gave you.

Answer:

x=2.5

Step-by-step explanation:

2.5x=5

subtract 2.5 from itself and 5

x=2.5

Answer:

a = 1 and b = 2

Step-by-step explanation:

Input the counterexample into the formula.

(a + b)² = a² + b²

(1 + 2)² = 1² + 2²

(3)² = 1 + 4

9 ≠ 5

This proves that the statement is false.

Answer: Line BC and Line DE

Step-by-step explanation:

In geometry terms, we can say that for any set of two points, we always can find a line that passes through them.

For example, in the image, we can see two lines (but actually we could make more with those points)

We can see a line that connects points B and C, and we can call that line as:

Line BC

We also can see a line that connects the points D and E, we can call this line as:

Line DE

So the two lines are: Line BC and Line DE

Answer:

36

Step-by-step explanation:

● 3[ (4-2)^5 -20]

● 3 ( 2^5 -20 )

● 3 (32-20)

● 3× 12

● 36

Answer:

1) when tomato patch is 6.5 feet the area is 191.75 sq.ft

2)  when tomato patch is 7 feet the area is 217 sq.ft

3) when area is 338 sq.ft the tomato patch is 9.0778 feet

4) when area is 147.25 sq.ft the tomato patch is 5.543799 feet

Step-by-step explanation:

The given equation is  :

3x^2 + 10x

Length of Tomato (in feet)                                       x,  6.5   ,  x   ,     7

Patch Area of Vegetable Garden (in square feet) 338, x , 147.25, x

So we can find the missing terms with the help of the equation 3x^2 + 10x

Putting the values of x from the length of the tomato patch

1)  3x^2 + 10x= 3(6.5)²+ 10 (6.5)=126.75+ 65= 191.75 square feet

2) 3x^2 + 10x= 3(7)² +10 (7)= 147+70= 217 square feet

So the area of  her vegetable garden for a variety of  lengths of the tomato patch= 6.5 feet is 191.75  square feet

and for 7 feet is 217 square feet

Similarly we can find the length of the tomato patch from the area by again using the given equation  3x^2 + 10x

So when area = 338 square feet

The equation becomes  

3x^2 + 10x= 338

Rearranging it :     3x^2 + 10x-338 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= -338

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 4056/6

x= -10± 64.467/6

x= 54.467/6 or -74.467/6   we ignore the negative value because the garden cannot have the negative area.

x= 9.0778 feet

Similarly repeating the same process would give

So when area = 147.25 square feet

The equation becomes  

3x^2 + 10x= 147.25

Rearranging it :     3x^2 + 10x-147.25 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= - 147.25

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 1767/6

x= -10± 43.208/6

x= 33.208/6 or -53.208/6  we ignore the negative value because the garden cannot have the negative area.

x= 5.543799 feet

Answer:

$8

Step-by-step explanation:

We want to find the difference between the money Clare has and the money she needs.

Difference means subtract, so we should subtract the amount of money she has from the amount she needs.

money needed - money she has

She has $110 and she needs $118 to purchase the MP3 player.

$118 - $110

Subtract 110 from 118.

$8

The difference between the money Clare has and the money she needs is 8 dollars.

Answer:

La respuesta es 1/5.

Step-by-step explanation:

porque el 1 pastel se divide en 5 personas.

Espero que esto ayude.

Answer:

Domain: [tex](-\infty,\infty)[/tex]

Range: [tex](1,\infty)[/tex]

Step-by-step explanation:

The domain of a function is the span of x-values it covers.

The range of a function is the span of y-values it covers.

From the graph, we can see that the domain stretches infinitely in both directions. Therefore, the domain is all real numbers.

In interval notation, this is:

[tex](-\infty,\infty)[/tex]

For the range, note that horizontal line at y=1.

The dotted line tells us that there is a horizontal asymptote there. In other words, y would never reach exactly 1.

Thus, our range would be all values greater than 1 (to positive infinity).

In interval notation, this is:

[tex](1,\infty)[/tex]

And we're done :)

Answer:

the answer is C

Step-by-step explanation:

because of you multiply by the decimals that less than 1, the number will decrease.

Answer:

[tex]Area \: of \: rhombus = \frac{pq}{2} [/tex]

Where p is diagonal 1 and q is diagonal 2

Step-by-step explanation:

Different formulas to find the area of a rhombus are:

Formulas to Calculate Area of RhombusUsing DiagonalsA = ½ × d1 × d2

Using Base and HeightA = b × h

Using TrigonometryA = b2 × Sin(a)

Area = d1×d2÷2

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2,-9) and (-1,4)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

[tex]\sqrt{178}[/tex] ≈ 13.3

Step-by-step explanation:

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 9) and (x₂, y₂ ) = (- 1, 4)

d = [tex]\sqrt{(-1-2)^2+(4+9)^2}[/tex]

   = [tex]\sqrt{(-3)^2+13^2}[/tex]

   = [tex]\sqrt{9+169}[/tex]

   = [tex]\sqrt{178}[/tex] ≈ 13.3 ( to 1 dec. place )