5/4 (x-2)+2x-4=9
I need help with this please

Value of (F/G)(-3)  with the given functions F(x)=x² -19 and G(x) = 14 - x is equal to (-10/17).

As given,

Given functions

F(x)=x² -19

G(x)=14 - x

Substitute the values in the required function:

( F/G )(x)=( x² -19 )/( 14 - x)

Now substitute x= -3

( F/G )( -3) =[ (-3)² -19 ] /[ 14 - (-3) ]

⇒ ( F/G )(-3) =( 9-19) / (14+ 3)

⇒ ( F/G )(-3) =( -10/17)

Therefore, value of (F/G)(-3)  with the given functions F(x) = x² -19 and G(x) = 14 - x is equal to (-10/17).

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The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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9514 1404 393

Answer:

  irrational

Step-by-step explanation:

A number that can be written as the ratio of two integers is called a "rational" number. If it cannot be written that way, it is called an "irrational" number

Irrational numbers cannot be written as a fraction of p/q.

Rational numbers can be written as a fraction of p/q.

Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Answer:

the sencond and the last one

Answer:

125 • 125

Step-by-step explanation:

5⁶ = 5 × 5 × 5 × 5 × 5 × 5 = 15,625

125 • 125 = 15,625

They give the same result so both expressions are equivalent to each other.

To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.

Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.

Using trigonometry, we can set up the following equation:

tan(32°) = h / 750

To find the value of h, we can rearrange the equation:

h = tan(32°) * 750

Using a calculator, we can find the value of tan(32°) ≈ 0.6249.

Now we can calculate the height of the shuttle:

h ≈ 0.6249 * 750

h ≈ 468.675 meters

Therefore, the height of the shuttle is approximately 468.675 meters.

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Step-by-step explanation:

C because 5 added to -4 is -1 but the bigger number carry the sign which is 5. 5 has a positive sign so therefore: 1 is the answer which is C

Step-by-step explanation:

C because 5 added to -4 is -1 but the bigger number carry the sign which is 5. 5 has a positive sign so therefore: 1 is the answer which is C

the length of the patio is x = 12 feet.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees. Area of rectangle is A = a*b

A = x(x - 8)

48 = x(x - 8)

Expanding the right-hand side, we get:

48 = x^2 - 8x

Bringing all the terms to one side, we get:

x^2 - 8x - 48 = 0

This is a quadratic equation that can be factored as:

(x - 12)(x + 4) = 0

Therefore, either x - 12 = 0 or x + 4 = 0. Solving for x in each case, we get:

x = 12 or x = -4

Since the length of a patio cannot be negative, we reject the solution x = -4.

Therefore, the length of the patio is x = 12 feet.

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Answer:

\(m=-1\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph

Point (0, 0)

Point (-10, 10)

Step 2: Find slope m

Answer:

10^3

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

Hi

Your answer is 43.

Solve(Using PEMDAS order of operations):

\(18\div \:2\times \:4\\18\div \:2=9\\=9\times \:4\\=36\\=14+36-7\\14+36=50\\=50-7\\=43\)

To convert fraction to decimal you multiply by 100%

Therefore, 35/25 to percentage

For the y-intercept clear the y:

Replace x for 0:

The y intercept will be 0.

Now replace equal to the intercept:

The intercept in x and y is (0,0)

So the answer is:

Because the slope is -3/5

Answer:

He got 75% correct

Step-by-step explanation:

72/96 = 3/4 = 0.75

0.75 × 100 = 75%

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

12.12%

Step-by-step explanation:

We have that the formula is given by:

A = p * e ^ (r * t)

From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19

if we replace we have:

200000 = 20000 * e ^ (19 * r)

we must calculate r:

e ^ (19 * r) = 200000/20000

e ^ (19 * r) = 10

19 * r = ln 10

r = ln 10/19

r = 0.1212

In other words, the rate of growth is 12.12%

Answer:

12.1%

Step-by-step explanation:

Hello!

x = the intersection

5x + 3 = 2x + 15

5x - 2x = 15 - 3

3x = 12

x = 12/3

x = 4

Answer: X=4

Step-by-step explanation: 5x + 3 and 2x + 15 are congruent. sub tract 3 from each side, 5x and 2x + 12 are equal. Subtract 2x from each side, 3x and 12 are equal. Divide each side by 3 and get X=4

The error in finding the perimeter of the rectangle is that the length was not calculated correctly, as it is of 5 units.

The perimeter of a rectangle of dimensions l and w is given by:

P = 2l + 2w.

From the graph, the dimensions are given as follows:

Hence the perimeter is:

P = 2l + 2w = 2(5) + 2(3) = 16 units.

The calculated length was of 4, hence the error in finding the perimeter of the rectangle is that the length was not calculated correctly, as it is of 5 units.

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The polynomial with the given zeros is:;

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

Remember that if a polynomial has the zeros a, b, c, and d, then we can write it as:

P(x) = K*(x - a)*(x - b)*(x - c)*(x - d)

Where K is a coefficient.

Here the zeros are 0, -1, 1, 3/2

Then we can write:

P(x) =K*(x - 0)*(x + 1)*(x - 1)*(x - 3/2)

P(x) =K*x*(x + 1)*(x - 1)*(x - 3/2)

We also know that when x = -3, P(x) = 300

Then we can write:

300 = K*(-3)*(-3 + 1)*(-3 - 1)*(-3 - 3/2)

300 = K*(-3)*(-2)*(-4)*(-9/2)

300 = K*108

300/108 = K

Then the polynomial is:

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

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Solution :

We need to calculate the radius.

We know that :

Here,

Substituting values :

> 616 = (22/7) × r^2

> 616 = 22r^2 / 7

> 616 × 7 = 22r^2

> 22r^2 = 4312

> r^2 = 4312 / 22

> r^2 = 2156 / 11

> r^2 = 196

> r = 14

Answer:

Step-by-step explanation:

The equation of circle that passes through origin is given by

And the given circle passes through (-8,0).

Substituting -8 for x and 0 for y, we will get

Answer:

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Answer:

33/8

Step-by-step explanation:

two negatives equal a positive so this is 5/8 + 7/2. next multiply 7/2 by 4/4 to get 28/8.  28+5=33 so the answer is 33/8

The value of the cosine of the angle of (a - b) will be 0.80.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

It is a function that repeats itself in a particular time interval.

Suppose that sin(a) = 4/6 and cos(b) = 1/5.

Then the value of 'a' is given as,

sin(a) = 4/6

sin(a) = 2/3

a = 41.81°

Then the value of 'b' is given as,

cos(b) = 1/5

b = 78.46°

Then the value of the cosine of the angle of (a - b) will be given as,

⇒ cos(41.81° - 78.46°)

⇒ cos(-36.65°)

⇒ cos 36.65°

⇒ 0.80

The value of the cosine of the angle of (a - b) will be 0.80.

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Answer: To graph this system of inequalities, we can first graph each inequality separately and then find the region where they overlap.

Starting with the first inequality, x - y ≥ 7, we can rearrange it to y ≤ x - 7 and graph the line y = x - 7. Since the inequality includes the line, we will use a solid line to represent it, and shade below the line to show the region where y is less than or equal to x - 7.

Next, for the second inequality, x + 2y < 5, we can rearrange it to y < (-1/2)x + 5/2 and graph the line y = (-1/2)x + 5/2. Since the inequality excludes the line, we will use a dashed line to represent it, and shade below the line to show the region where y is less than (-1/2)x + 5/2.

Now we can combine the two shaded regions to find the overlapping region where both inequalities are satisfied. This region is shown in the graph below:

     |          /

     |        /

     |      /

     |    /  

     |  /    

     |/      

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

The point that represents a solution to the system is the point where the two lines intersect. To find this point, we can solve the system of equations:

y = x - 7

y = (-1/2)x + 5/2

Substituting the first equation into the second, we get:

x - 7 = (-1/2)x + 5/2

Simplifying this equation, we get:

(3/2)x = 19/2

x = 19/3

Substituting this value of x into either of the original equations, we get:

y = 19/3 - 7 = 2/3

So the point that represents a solution to the system is (19/3, 2/3).

Step-by-step explanation: