f(x) = 3x^2 + 5
g(x) = 4x - 2
h(x) = x^2 - 3x + 1
Find f(x) + g(x) - h(x).

Answer:

-8b^2 + 4b

Step-by-step explanation:

To simplify the expression (-6b^2 2b-1) + (-2b^2 + 4b), we need to combine like terms.

First, let's distribute the negative sign to the terms inside the first set of parentheses:

(-6b^2) + (-2b^1) = -6b^2 - 2b^1

Now let's combine the terms inside the second set of parentheses:

(-2b^2) + (4b) = -2b^2 + 4b

Finally, let's add the two expressions:

(-6b^2 - 2b^1) + (-2b^2 + 4b) = -6b^2 - 2b^1 - 2b^2 + 4b

Simplifying, we get:

-8b^2 + 4b = -8b^2 + 4b

The final simplified expression is: -8b^2 + 4b.

Answer:

Step-by-step explanation:

2(x-3) = 5

Distribute.

2x - 6 = 5

Eliminate the 6.

2x = 11

Divide by 2.

x = 11/2

Answer:

\(\frac{11}{2}\)

Step-by-step explanation:

We can use distributive property to simplify the equation, \(2x-6=5\). Now, we can move -6 to the right hand side. \(2x=11\). Finally, we can divide 2, \(x=\frac{11}{2}\) or \(x = 5\frac{1}{2}\)

Answer:

False

Step-by-step explanation:

7 4/10= 7.4

7.4<7.421

Answer:

It would be 3 meters apart

We have the following configuration for this problem:

where y is the distance, in feet, Corey stepped back.

Then, we have:

And:

Now, using the first into the second equation, we obtain:

Therefore, Corey stepped back approximately 59.71 feet.

Answer:

You can just type it in the calculator. 1/2=0.5 so 1 - .05= 0.5 . Lmk if there is more to the question!

Step-by-step explanation:

Answer:

E. Power of a Power

Step-by-step explanation:

The vertices of a square are its endpoints

The coordinates of the other pairs are: (-1, 3), (4, 3)  and (-1, -7), (4, -7)

The given parameters are:

\(\mathbf{E = (-1,-2)}\)

\(\mathbf{F = (4,-2)}\)

Calculate the distance EF

\(\mathbf{EF = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}\)

So, we have:

\(\mathbf{EF = \sqrt{(-1 - 4)^2 + (-2 - -2)^2}}\)

\(\mathbf{EF = \sqrt{25}}\)

\(\mathbf{EF = 5}\)

Add 5 to the y-coordinates of E and F

\(\mathbf{C = (-1,-2+5)}\)

\(\mathbf{C = (-1,3)}\)

\(\mathbf{D = (4,-2+5)}\)

\(\mathbf{D = (4,3)}\)

Subtract 5 to the y-coordinates of E and F

\(\mathbf{C = (-1,-2-5)}\)

\(\mathbf{C = (-1,-7)}\)

\(\mathbf{D = (4,-2-5)}\)

\(\mathbf{D = (4,-7)}\)

Hence, the coordinates of the other pairs are: (-1, 3), (4, 3)  and (-1, -7), (4, -7)

There is no third pair

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The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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Consider the figure,

From the right angled triangle ABD, using Pythagoras theorem, we have,

FRom the angle bisector theorem, we have,

That is, we have,

Thus, second option is correct.

The value of x is 33.2

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent or equal.

Also the ratio of corresponding sides of similar triangles are equal.

Therefore;

Triangle EHG and EFG are similar

39/36 = 36/x

36 × 36 = 39x

39x = 1296

divide both sides by 39

x = 1296/39

x = 33.2

Therefore the value of x is 33.2

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Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

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Answer:

a) C(n) = 0.74 * min(n, 100) + 0.69 * max(n - 100, 0)
b) 39.22
c)  143.69

Step-by-step explanation:

(a) We can write a piecewise function to describe the cost C(n) of n CDs purchased:

C(n) = 0.74 * min(n, 100) + 0.69 * max(n - 100, 0)

(b) The cost of 53 CDs is:

C(53) = 0.74 * min(53, 100) + 0.69 * max(53 - 100, 0) = 0.74 * 53 = 39.22

(c) The cost for 201 CDs is:

C(201) = 0.74 * min(201, 100) + 0.69 * max(201 - 100, 0) = 0.74 * 100 + 0.69 * 101 = 74 + 69.69 = 143.69

Given statement solution is :- The actual length of the part is 3751/64 inches.

To find the length of the actual part, you can use the scale factor and the length of the part on the drawing. The formula for finding the actual length is:

Actual Length = Length on Drawing × Scale Factor

In this case, the length on the drawing is given as 3 7/8 inches, and the scale factor is given as 15 ¹/8. Let's calculate the actual length:

Length on Drawing = 3 7/8 inches = (3 × 8 + 7) / 8 = 31/8 inches

Scale Factor = 15 ¹/8

Now we can substitute the values into the formula:

Actual Length = (31/8 inches) × (15 ¹/8)

To perform the multiplication, we can convert the mixed fraction into an improper fraction:

15 ¹/8 = (15 × 8 + 1) / 8 = 121/8

Now we can multiply the fractions:

Actual Length = (31/8) × (121/8)

To multiply fractions, we multiply the numerators together and the denominators together:

Actual Length = (31 × 121) / (8 × 8)

Actual Length = 3751 / 64

Therefore, the actual length of the part is 3751/64 inches.

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Answer:

\(\frac{8x^{18} }{y^{2} }\)

Step-by-step explanation:

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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Answer:

44

Step-by-step explanation:

The sum of the series \(\sum_{k=1}^4\) (2k²−4) is 44.

The series is: \(\sum_{k=1}^4\) (2k²−4)

Let's find the value of each term for k=1, k=2, k=3, and k=4, and then add them up:

For k=1:

2(1)² - 4 = 2(1) - 4 = 2 - 4 = -2

For k=2:

2(2)² - 4 = 2(4) - 4 = 8 - 4 = 4

For k=3:

2(3)² - 4 = 2(9) - 4 = 18 - 4 = 14

For k=4:

2(4)² - 4 = 2(16) - 4 = 32 - 4 = 28

Now, let's add all the terms:

-2 + 4 + 14 + 28 = 44

So, the sum of the series \(\sum_{k=1}^4\) (2k²−4) is 44.

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Answer:

The anser is 5 hop this helps sorry if it is wrong

Step-by-step explanation:

As we have proved that if one pair of opposite sides of a quadrilateral are equal and parallel, then the quadrilateral is a parallelogram.

To prove this, we can use the concept of alternate angles. Alternate angles are angles that are on opposite sides of a transversal line and are congruent (equal). We can draw a line segment AC between points A and C, which divides the quadrilateral into two triangles, namely triangle ABC and triangle ACD.

Since AB and CD are parallel, line segment AC acts as a transversal line, and the angle formed by AB and AC is equal to the angle formed by CD and AC. These angles are alternate angles, and therefore they are equal. Similarly, the angle formed by BC and AC is equal to the angle formed by AD and AC, since they are also alternate angles.

Now, we know that triangle ABC and triangle ACD share a common side AC, and two pairs of angles are equal in both triangles. Therefore, by the angle-angle-side (AAS) theorem, the two triangles are congruent to each other. Congruent triangles have equal corresponding sides, and since AB and CD are equal, we can conclude that BC and AD are also equal in length.

Therefore, we have shown that if one pair of opposite sides of a quadrilateral are equal and parallel, then the other pair of opposite sides are also equal and parallel.

This means that the quadrilateral is a parallelogram. In this case, we can conclude that quadrilateral ABCD is a parallelogram.

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20,000 ten thousand equals 2000 Hundred thousand.

As per the question statement, we are provided with a value: "20,000 ten thousand".

We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.

To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, \((20000*10,000)=200000000\).

As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.

Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as  \((100,000*x)=200000000\)

\(or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000\)

Hence, 20,000 ten thousands equals 2000 Hundred thousands.

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Answer:

16in

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

if you add one you get 15, and

Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

Answer:

its m=185t

Step-by-step explanation:

because if you divide

An equation which represent the total meters (m) that Sam runs in t minutes is: B. m = 185t.

Mathematically, a proportional relationship can be represented with the following equation or mathematical expression:

m = kt

Where:

Next, we would determine the constant of proportionality (k) for each candy as follows:

From Jacob's running, we have the following:

Constant of proportionality (k) = t/m

Constant of proportionality (k) = 400/2

Constant of proportionality (k) = 200

Since Sam runs 15 meters less each minute than Jacob does, an equation that represent the total meters (m) that he runs in t minutes is given by:

m = (200 - 15)t

m = 185t

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Answer:

$1000

Step-by-step explanation:

Inverse operation

2100-100=2000

2000/2=1000

Sorry if its wrong but hope this helpssss

Answer:

Step-by-step explanation:

A nonagon has nine sides.

The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.

Each interior angle = 180°-exterior angle = 140°.

13x + 10° = 140°

x = 10°

Step-by-step explanation:

(2×8² - 2²×8)/(2×8)

before we start typing things into the calculator, we see that the fraction can be simplified :

(2×8² - 2²×8)/(2×8) | divide top and bottom by 2

(8² - 2×8)/8 | divide top and bottom by 8

(8 - 2)/1 = 6/1 = 6

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer:

1.5y-2x=1

Step-by-step explanation:

Find the coordinates of the center of the circle (1,2),and pick any point on the circle whose coordinates do not correspond with the center's and the do the normal equation for finding equations of lines