Question 3
If f(x) = -2 and g(x)= 3x2 +2x - 6, find (+g)(x).

A. 3x+3x+4
B. 3x2 +x-8
C. X2 +12
D. 3x2 + x - 3

Answer:

12 with a remainder of 5

Step-by-step explanation:

have a good day! :)

Answer:

4

Step-by-step explanation:

x/2 +6 = 8

subtract 6 from both sides

x/2 = 2

multiply by the reciprocal of 1/2 which is 2. That cancels out the 2 on the x side and x is equal to 4

Hope that helps

Answer:

  x = 4

Step-by-step explanation:

The left side of the equation has a variable term (x/2) and a constant term (6).

The right side of the equation has a constant term (8).

This is the form you expect to see for a "two-step" linear equation. It is solved in 2 steps.

Step 1:

Subtract the left-side constant from both sides.

  x/2 +6 -6 = 8 -6

  x/2 = 2 . . . . . simplify

Step 2:

Multiply both sides of the equation by the reciprocal of the coefficient of x. The coefficient of x is 1/2. Its reciprocal is 2/1 = 2. When you multiply both sides by 2, you get ...

  2(x/2) = 2(2)

  x = 4 . . . . . . simplify

_____

Additional comment

The idea of a multiplicative inverse (reciprocal) is that a number multiplied by its reciprocal is 1.

  [tex]\dfrac{2}{1}\times\dfrac{1}{2}=\dfrac{2}{2}=1[/tex]

1 is the "identity element" for multiplication. That means whatever you multiply by 1 retains its original identity. Multiplying x by 1 gives x.

When we solve an equation of this sort, we use these properties of multiplication (inverse, identity element) to "get rid of" the coefficient of x.

As always, the rules of equality say that whatever you do to one side of the equation must also be done to the other side. So, when we multiply x/2 by 2, we must also multiply the other side of the equation by 2.

__

Don't let the presentation of the x-term throw you. It can be written several ways that all mean the same thing.

  (1/2)x . . . . with or without the parentheses

  0.5x

  x/2

Answer: yes!

Step-by-step explanation:

Answer: As to what I am seeing i think you are doing fine

Step-by-step explanation:

Great Job

Let's se

Done!

Answer:

27 ounces

Step-by-step explanation:

36 / 4 = 9 x 3 = 27

Answer:

4

Step-by-step explanation:

Well 3 x 4 equals 12, 12 x 4 equals 48, and so on.

hope this helps!

The amount of money  he could have in savings after two more years is:c. $1,315. 06.

First step is to calculate the 12 month saving

Saving= 12 month × $103.19

Saving = $1238.28

Second step is to calculate the interest earned

Interest = Prt

Interest= $1238.28×·0.031×1

Interest= $38.39

Third step is to calculate the balance after 2 years

Saving= $1238.28 +(2 years × $38.39)

Saving= $1238.28 +$76.78

Saving= $1315.06

Inconclusion the amount of money  he could have in savings after two more years is:c. $1,315. 06.

Learn more about interest here:

https://brainly.com/question/16134508

Answer:

-49

Step-by-step explanation:

Make sure you understand the difference between

-3² and (-3)²

-3² means square 3, then take its opposite. -3² is the same as -(3²) = -9

(-3)² means square the number -3, which means that (-3)² = (-3) × (-3) = 9

Ok, now we can start. Use the correct order of operations.

-3² + (2 - 6)(10) =

= -9 + (-4)(10)

= -9 + (-40)

= -9 - 40

= -49

[tex]\text{Given that ,}\\\\\text{Length,}~ l = (2y+5)~\text{units.}\\\\\text{Width, } w= 3~\text{units.}\\\\\\\text{Area} = lw = (2y+5)(3) = (6y+15) ~~ \text{units}^2.\\\\\\\text{Perimeter} =2(l+w) = 2(2y+5 +3) = 2(2y+8) = (4y+16)~~ \text{units}.[/tex]

(2,2)

Step-by-step explanation:

You have to add them together and minus the negatives

[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer♡}}[/tex]

[tex]a \: number \: x \: is \: reduced \: by \: 25\%[/tex]

[tex]25\% \: of \: x \: means \: ( \frac{25}{100} )(x) = 0.25x \\ \\=> x - 0.25x \\ = > 0.75x[/tex]

hope helpful~

The reduced quantity if x is reduced by 25% is 0.75x.

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

x is reduced by 25%,

Calculate the 25% of x as shown below,

25 / 100 × x

0.25x

Calculate the reduced quantity,

Reduced quantity = x - 0.25x

Reduced quantity = x(1 - 0.25)

Reduced quantity = 0.75x

To know more about percentages:

brainly.com/question/20818421

#SPJ2

ok done. Thank to me :>

461.176470588

Explanation:

2×56=112

112×420=47040

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

3×34=102

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

47040÷102=461.176470588

Answer:

111.101, 110.111, 101.121, 101.112

Step-by-step explanation:

Descending order means values starting with big ones and ending with the small ones.

So, in this case,

Hope it helps :)

Answer:

i aint smart but im a the last one 4/8

Answer:

The answer is 4/8.

Step-by-step explanation:

Because 4 is half of 8 while the others are either 1 more or 1 less then half or just don't make half at all. So the only answer here that makes sense is 4/8

(pls do tell me if I'm wrong)

Answer:

263.25

Step-by-step explanation:

Your welcpme and stay safe

Answer:

fraction; 263.25/100

whole number; 263

Step-by-step explanation:

4.5 × 9 × 6.5;

4.5 × 6.5 = 29.25

29.25 × 9 = 263.25

Answer:

x = -12

Step-by-step explanation:

First, you want to plug in f(x)'s value into the equation.

-2 = -x-14

Then solve for x:

x=-14+2

x=-12

Answer:

width=4in.

length=13in

Step-by-step explanation:

let the width of the rectangle be x

then the length will be x+9

Area= length×width

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

the width is 4in. and the length is 4+9=13in.

The solution is, width=4in.

length=13in

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

The area of a rectangle is 52 in^2.

If the length is 9 inches more than the width.

let the width of the rectangle be x

then the length will be x+9

Area= length×width

so, we have,

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

so, we get,

the width is 4in. and the length is 4+9=13in.

To learn more on Area click:

brainly.com/question/20693059

#SPJ3

Answer:

yes u picked C thats the correct answer

Step-by-step explanation:

Answer:

y=4x+18

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

A $10 deposit followed by a $60 withdrawal

Step-by-step explanation:

The 10 is positive, so it would represent a deposit, and the 60 is negative, so it would represent a withdrawal.

Answer:

Part A, 3550$

Part B, Ten female ferrets left

Step-by-step explanation:

[tex]M(ax+by +c)=0\\\\\implies ax+by +c =0\\\\\implies by = -ax-c\\\\\implies y = \dfrac{-ax -c}{b}\\\\\implies y = - \left(\dfrac{ax+c}b \right)[/tex]

Answer:

Because square root is essentially the same thing as the power to a half

sqrt(x) is the same as (x)^1/2

Answer:

13 cm

Step-by-step explanation:

The scale of the drawing was 1 centimeter : 4 meters.

x cm : 52 m   Divide by 4

13 cm : 52 m

An equation that models the path of Johnny’s ball is [tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]

The maximum height is given as:

[tex]h_{max}= 10ft[/tex]

And the time spent is:

[tex]t = 3s[/tex]

So, the vertex of the ball would be:

[tex]Vertex = (t/2,h_{max})[/tex]

This gives

[tex]Vertex = (3/2,10)[/tex]

[tex]Vertex = (1.5,10)[/tex]

Rewrite properly as:

[tex](h,k) = (1.5,10)[/tex]

The ball is on the floor after 3 seconds.

So, another point on the graph is:

[tex](x,y) = (3,0)[/tex]

A quadratic equation is represented as:

[tex]y=a(x - h)^2 + k[/tex]

Substitute [tex](x,y) = (3,0)[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]

[tex]0=a(3 - 1.5)^2 + 10[/tex]

[tex]0=a(1.5)^2 + 10[/tex]

Evaluate the exponent

[tex]0=2.25a + 10[/tex]

Subtract 10 from both sides

[tex]2.25a =- 10[/tex]

Divide both sides by 2.25

[tex]a = -\frac{10}{2.25}[/tex]

Multiply by 4/4

[tex]a = -\frac{40}{9}[/tex]

Substitute [tex]a = -\frac{40}{9}[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]

[tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]

See attachment for the graph that models the path

Read more about quadratic functions at:

https://brainly.com/question/11441586

Answer:

all you do is() first divide then go from left to right answers 4

Answer:

Distance (d) = 15

Step-by-step explanation:

The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

Let (x₁, y₁) = (0, 0)

     (x₂, y₂) = (-12, 9)

Substitute these values into the distance formula.

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}[/tex]

Perform the required subtraction within each parenthesis:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}[/tex]

Next, take the squared values of -12 and 9 under the radical:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}[/tex]

Add 144 and 81:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}[/tex]

Distance (d) = 15

Therefore, the distance between the point of origin and (-12, 9) is 15.