Question is in the image

Answer:

Step-by-step explanation:

Given:

Find (f + g)(x):

Correct choice is C

[tex]\\ \tt\longmapsto (f+g)(x)=f(x)+g(x)[/tex]

[tex]\\ \tt\longmapsto \dfrac{x-6}{2}+4x^2+x-4[/tex]

[tex]\\ \tt\longmapsto \dfrac{x-6+8x^2+2x-8}{2}[/tex]

[tex]\\ \tt\longmapsto \dfrac{8x^2+3x-14}{2}[/tex]

[tex]\\ \tt\longmapsto 4x^2+\dfrac{3}{2}x-7[/tex]

Answer:

Step-by-step explanation:

10 cubes ÷2 stacks = 5, so in each stack 5.

one stack has 5

Second stack has 4 more cubes than the other. (5+4=9)

So the answer is 5 and 9

The number of cubes is 3 and 7 in two stacks consisting of 10 stacks total.

Suppose Ebony has 'x' cubes in one stack

So, the number of cubes in another stack =x+4

A cube is a solid having all three dimensions i.e. length, breadth, and height equal to each other.

According to the question,

Total number of cubes = 10

x+(x+4) = 10

2x+4 =10

2x=6

x=3

So, Ebony has 3 cubes in one stack

Number of cubes in another stack =3+4 =7cubes

Therefore, The number of cubes is 3 and 7 in two stacks consisting of 10 stacks total.

To get more about cubes visit:

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Answer:

200

Step-by-step explanation:

Surface are of cube = 6a^2

Answer:

AB = 112

BE = 42

CG = 58

Step-by-step explanation:

I hope this answers your question(s). Have a good weekend!

Answer:

$21.50

Step-by-step explanation:

10% of $25 is $2.50

4% of $25 is (1% of 25)×4

4% of $25 = $0.25×4

4%=$1

10%+4%=14%

$2.50+$1=14%

$3.50=14%

$25-$3.50=£21.50

Answer:

here ya go.

Step-by-step explanation:

15=j+9

subtract 9 from both sides.

j= 6

Answer:

expression am I write please say yes omg am wrong

Answer:

Car C

Step-by-step explanation:

Car A: 40/4=10 km/L

Car B: 110/10 = 11 km/L

Car C: 48/4 = 12 km/L

Step-by-step explanation:

Notes:

The domain represents all x-values.

The range represents all y-values.

Domain: Whole numbers to represent the graph.

Range: Whole numbers to represent points.

A and C are incorrect.

A has the incorrect domain and range.

C represents all whole numbers and all real numbers.

B is correct.

Why?

B represents the whole numbers for where the line has been for x (0 - 14).

B represents the whole numbers for where the lines have been at for y (0 - 85)

B represents that the graph has ended.

Step-by-step explanation:

Formulas.

Square: [tex]V = L \times W \times H[/tex]

Square Pyramid: [tex]V = \frac13b^2h[/tex]

b = base.

Let's work on the square first.

Substitute the Length, Width, and Height of the square into the formula:

[tex]V=15 \times15\times15[/tex]

Solve:

[tex]V=15^{3} =3,375[/tex]

Let's work on the square pyramid.

Substitute 225 into the formula, and 9 (height):

[tex]V=\frac{1}{3}(15)^2(9)[/tex]

Solve:

[tex]V=\frac{1}{3}225(9)[/tex]

[tex]V=\frac{1}{3}(2025)[/tex]

[tex]V=675[/tex]

Add each volume:

[tex]3,375+675=4,050 ft^{3}[/tex]

The total volume of the figure is [tex]4,050 ft^{3}[/tex].

Answer:

She needs to cut the log 11 times

Step-by-step explanation:

hope that helps!!!

There are 11 cuts are necessary for equally spaced cuts.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Susan wants to cut a log into 12 pieces with equally spaced cuts.

Hence, To cut 12 pieces with equally spaced cuts, number of cuts are,

⇒ 12 - 1

⇒ 11

Thus, There are 11 cuts are necessary for equally spaced cuts.

Learn more about the subtraction visit:

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Answer:

The pack weighs 30.16 ounces

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

You have eight bars, right?

And each bar weighs 3.77 oz?

8 x 3.77 = 30.16 oz

or, if I get this right can I get brainliest, 855.02162 grams.

Answer:

125

Step-by-step explanation:

[tex] \huge \: {8}^{ log_{2}(5) } \\ \\ \huge \: = { {2}^{3} }^{ log_{2}(5) } \\ \\ \huge \: = { {2}}^{ log_{2}(5)^{3} } \\ \\\huge \: ={ {2}}^{ log_{2}(125 )} \\ \\ \huge \: = 125 \: \: ( \because \: {a}^{ log_{a}(x)} =x)[/tex]

Answer:

Step-by-step explanation:

Use the graph to answer the following questions:

When did she start using her phone?

When did she start charging her phone?

While she was using her phone, at what rate was Lin’s phone battery dying?

From 100% to 40% between 2PM and 4 PM:

Answer:

{ observation from the graph given }

Answer:

[tex]6 \frac{5}{12} \: {ft}^{2} [/tex]

Step-by-step explanation:

[tex]area \: of \: rectangle = length \times width \\ \\ = 1 \frac{1}{6} \times 5 \frac{1}{2} \\ \\ = \frac{7}{6} \times \frac{11}{2} \\ \\ = \frac{77}{12} \\ \\ = 6 \frac{5}{12} \: {ft}^{2} [/tex]

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

[tex]x = 3, -2[/tex]

Step-by-step explanation:

1: factor

[tex](x-3)(x+2)[/tex]

2: check

[tex]x^2 + 2x -3x -6[/tex]

3: solve for x

[tex]x = 3, -2[/tex]

Answer:

correct thank you

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

For each of these, you just replace x with what's in the parenthesis.

f(-2) = 4(-2)^2 - 2(-2) + 1

f(-2) = 16 + 4 + 1

f(-2) = 21

g(5) = [tex]\sqrt{4(5) - 16}[/tex]

g(5) = [tex]\sqrt{20-16}[/tex]

g(5) = [tex]\sqrt{4}[/tex]

g(5) = 2

f(3r) = 4(3r)^2 - 2(3r) + 1

f(3r) = 4(9r^2) - 6r + 1

f(3r) = 36r^2 - 6r + 1

f(a+b) = 4(a+b)^2 - 2(a+b) +1

f(a+b) = 4 (a^2 + 2ab + b^2) - 2a - 2b + 1

f(a+b) = 4a^2 + 8ab + 4b^2 - 2a - 2b + 1

Answer:

um i dont understand sorry

Answer:

B

Step-by-step explanation

Answer:

yup it is ...

x²-2x = -6+2x

=> x²-4x +6

By expanding the equation, we can see that it is quadratic.

A quadratic equation is any polynomial of degree 2.

Here we have:

x^2 - 2x = (-2)*(3 - x)

Expanding this we get:

x^2 - 2x = -6 + 2x

Moving all to the same side:

x^2 - 2x - 2x + 6 = 0

x^2 - 4x + 6 = 0

This is a polynomial of degree 2, so this is a quadratic equation.

If you want to learn more about quadratic equations, you can read:

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Answer:

B

Step-by-step explanation:

From inspection of the box plot:

The median is the middle number in a sorted (ascending or descending) list of numbers.  All the numbers in each data set. are sorted in ascending order.  Data sets C and D have medians of 30, so we can discount them.

The maximum value on the box plot is 34.  Therefore, we can discount option A, since its max value is 35.  

Therefore, the answer is option B.

Futher checking with quartiles:

The lower quartile is the value at the first quarter.  As there are 9 values per data set, the lower quartile will be the mean of the 2nd and 3rd values.

The upper quartile is the value which is three quarters of the way into the data set.  As there are 9 values per data set, the upper lower quartile will be the mean of the 7th and 8th values.

Option B

lower quartile = (25 + 29)/2 = 27

upper quartile = (32 + 34)/2 = 33

This confirms that Option B is the final solution.

Answer:

2.5 times 1760 is 4400

Step-by-step explanation:

math lol

Answer:

. We assume, that the number 1760 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 1760 is 100%, so we can write it down as 1760=100%.

4. We know, that x is 2.5% of the output value, so we can write it down as x=2.5%.

5. Now we have two simple equations:

1) 1760=100%

2) x=2.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

1760/x=100%/2.5%

6. Now we just have to solve the simple

equation, and we will get the solution we are looking for.

7. Solution for what is 2.5% of 1760

1760/x=100/2.5

(1760/x)*x=(100/2.5)*x - we multiply both sides of the equation by x

1760=40*x - we divide both sides of the equation by (40) to get x

1760/40=x

44=x

x=44

Answer:

[tex]x=\frac{1}{2}[/tex]

Step-by-step explanation:

equation of a circle:  [tex](x - h)^2+(y-k)^2=r^2[/tex]

where (h, k) = center and r = radius

From inspection, we can see that the center of the circle = (0, 0)

and the radius = 1

[tex]\implies (x - 0)^2+(y-0)^2=1^2[/tex]

[tex]\implies x^2+y^2=1[/tex]

Substitute [tex]y=\frac{\sqrt{3}}{2}[/tex]  into  [tex]x^2+y^2=1[/tex]  and solve for [tex]x[/tex]:

[tex]\implies x^2+(\frac{\sqrt{3}}{2})^2=1[/tex]

[tex]\implies x^2+\frac{3}{4}=1[/tex]

[tex]\implies x^2=\frac{1}{4}[/tex]

[tex]\implies x=\pm \sqrt{\frac{1}{4}}[/tex]

[tex]\implies x=\pm\frac{1}{2}[/tex]

As point P is in quadrant 1, [tex]x[/tex] is negative, so [tex]x=\frac{1}{2}[/tex]