Write a quadratic function f whose zeros are 7 and -5.

Step-by-step explanation:

The base of the separated triangle is (x+5) - (2x - 4) = x + 5 - 2x + 4 = 9 - x

So, area of the separated triangle would be:-

1/2 * b* h

or, 1/2 * (9-x)* (x+3)

or, (6x + 27 - x² )/2

Total area of trapezium = (6x + 27 - x²)/2 + (2x-4)(x + 3)

or, 60 = (6x + 27 - x²)/2 + 2x² + 2x - 12

or, 60 = (6x + 27 - x² + 4x² + 4x - 24)/2

or, 120 = 10x + 3x² + 3

or, 0 = 3x² + 10x + 3 - 120

hence, 3x² + 10x - 117 = 0 (proved)

Again,

Use quadratic formula to figure out value of x.

(It woun't be a natural number)

Write the value of x with only one digit after it's decimal.

Answer:

Step-by-step explanation:

a

Answer: A

Step-by-step explanation:

Answer: $78.75

Step-by-step explanation:

You have to multiply the price by tax and add

1) In figure 4, the area of the square os 16cubes. The shaded part is 7cubes, being one less than 4^2 or 4*4.  The formula is n+n-1. This can be put in for 5 too. 5+5-1=9.

2) Using the formula, 50+50-1=99. Therefor, the shaded squares in the 50th figure would be 99.

Complete sentence:

1) The formula for the number of shaded squares in the Nth figure is n+n-1.

2) There would be 99 shaded squares in the 50th figure.

explanation: Knowing that the area of a square is length*width, in this case because the figures are squares, the length and the width are both the same number. From this, we can tell that for figure 45, the length is 45 and so this the width. The one square in the corner is both the length and the width so this is why we take 1 away or -1.

The value of x according to the given equation as in the task content is; 3¹⁹.

It follows from the task content that the value of x is to be determined from the equation given in the task content.

Therefore, since the equation given in the task content is;

(81)⁵ = 3x

(3⁴)⁵ = 3x

3²⁰ = 3x

Therefore, the value of x can be evaluated as;

x = 3²⁰/3

x = 3¹⁹.

Ultimately, the value of x from the given equation is; 3¹⁹.

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The best interpretation of the function v(2) = 8 is that the volume of a cube with side length of 2 units is 8 cubic units

Function notations are the representation of a function using expressions such as g(x), f(x), etc

From the question, we have the following function notation that can be used in our computation:

v(2) = 8

From the question, we have the following representation

v(s)

This means that the volume of a cube of side length s is v(s)

When the above function is compared to v(2) = 8, we have the following comparison

s = 2 and v(s) = 8

This means that a cube of side length 2 has a volume of 8

The above represents the best interpretation of v(2) = 8

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Answer:

r = 9

Step-by-step explanation:

Hello!

Solve for r by isolating the variable.

The value of r is 9.

-1.5 is the difference in the sequence

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms are the same.

The difference is usually called the common difference. For example, the sequence 3, 6, 9, 12 have a common difference of 3 i.e. 6-3 = 3 or 9-6 = 3

Given: the sequence 4.5,3,1.5,0

The difference = 3 - 4.5 = -1.5 or 1.5-3 = -1.5

Note: You can pick any two consecutive terms to get the difference

Therefore, the difference in the sequence is -1.5

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Answer:

1

Step-by-step explanation:

Perpendicuar lines have slopes that are opposite reciprocals: 6 ==> -1/6

y=mx+b

y=-x/6 + b ==> plug in slope -1/6 into slope equation

1 = -6/6 + b ==> plug in x and y values into slope equation

1 = -1 + b

1 + 1 = -1 + 1 + b

b = 2 ==> solve for b

y = -x/6 + 2 ==> plug in the value of b into the equation

y - 1 = -x/6 + 2 - 1

y - 1 = -x/6 + 1

y - 1 = -(x/6-1) ==> answer: 1

By using the formula for amount of money in a compound interest, it can be calculated that

Amount received after 7 years is $13675.08

What is a compound interest?

If the interest on a certain principal at a certain rate over a certain period of time increases exponentially rather than linearly, then the interest earned is called compound interest.

If p is the principal, r is the rate and n is the time in years, then

amount = [tex]p(1+\frac{r}{100})^n[/tex]

Difference between amount and principal gives the compound interest.

Principal = $8800

Rate = 6.5 %

Time = 7 years

Amount received = [tex]8800(1 + \frac{6.5}{100})^7[/tex]

                                 $13675.08

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Using the trigonometry ratio, he angle of elevation of the ramp to the nearest degree is 11°.

In the given question,

A ramp goes from a doorway of a building to the ground.

The end of the ramp connected to the doorway is 1 foot above the ground.

The distance along the ramp to the building is 5 feet.

We have to find the angle of elevation of the ramp to the nearest degree.

The distance is 5 feet.

The height is 1 foot.

To find the angle of elevation we used the trigonometry ratio.

According the trigonometry ratio, we know that tangent is the ratio between height and distance.

We can write it as

tan A=height/distance

Now putting the value

tan A=1/5

tan A=0.2

So A = arctan(0.2)

A = 11.30°

A ≈ 11°

Hence, the angle of elevation of the ramp to the nearest degree is 11°.

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60 minutes will be taken by the older computer to send out the email on its own.

Two or more expressions with an Equal sign is called as Equation.

one computer takes x minutes and the other takes 3x minutes

in 1 minute, they send (1/x) and (1/3x) of the total message

together, (15/x)+(15/3x)=1, the full message

multiply by 3x to clear fractions

45+15=3x

60=3x

Divide both sides by 3

20=x

So for older computer  60 minutes  it take to send out the email on its own.

Hence, 60 minutes will be taken by the older computer to send out the email on its own.

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Answer: 81.25

Step-by-step explanation:

Answer:

Armando lost 65 coins each level.

Step-by-step explanation:

Given information,

→ Armando lost 975 coins playing his favorite video game.

→ He lost the same number of coins in each of the 15 levels he played.

Forming the equation,

→ 15x = 975

Now required value of x will be,

→ 15x = 975

→ x = 975/15

→ [ x = 65 ]

Hence, he lost 65 coins each level.

The value of x will be= 90 degress.

acc to our question-

hence,The value of x will be= 90 degress.

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Using mathematical operations of addition and subtraction, Rodrigo needs to buy additional 2⁷/₂₄ pounds of vegetables.

The basic mathematical operations are addition, subtraction, division, and multiplication.

These mathematical operations can be used to determine the results of mathematical expressions.

The total pounds of vegetables required for a stew = 3 pounds

Available pounds of vegetables:

Onions = 3/8 pounds

Tomatoes = 1/3 pounds

The total available pounds = 17/24 pounds

Additional pounds required = 3 - 17/24 pounds

= 2⁷/₂₄ pounds

Thus, based on addition and subtraction, Rodrigo needs additional 2⁷/₂₄ pounds of vegetables.

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Answer:

  D.  2x -y = 2

Step-by-step explanation:

You want to know the standard-form equation of the line through points (-1, 4) and (2, 2) as shown on the graph.

The graph shows the x-intercept of the line is a=1, and the y-intercept of the line is b=-2. This means the intercept form of the equation is ...

  x/a +y/b = 1

  x/1 +y/(-2) = 1

Multiplying this equation by 2 gives ...

  2x -y = 2 . . . . the standard form equation for the line

__

Additional comment

The standard form equation can also be developed from the coordinates of points on the line:

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1

  (2 -(-4))x -(2 -(-1))y = (2 -(-4))(-1) -(2 -(-1))(-4)

  6x -3y = -6 +12

Dividing by 3 gives the standard form equation ...

  2x -y = 2

Answer:

Step-by-step explanation:

AC is the diagonal of the parallelogram ADCB.

q is half of AC, therefore:

Substitute values and solve for x:

Find the length of AC:

Answer:

765

Step-by-step explanation:

Answer:

I believe the answer is C

Step-by-step explanation:

The daily amount in grams of the recommended carbohydrates is 2587.15 grams

The amount of daily recommended carbohydrate is solved by dividing the quantity of carbohydrate in the protein bar by the percentage contained in the bar

The problem deals with percentage and 7% is written as

7%

= 7 percent

= 7 / 100

= 0.07

The factor 0.07 of the daily recommended amount of carbohydrates gives 20 grams of carbohydrate

let the daily recommended amount of carbohydrates be x

0.07 * x = 200

0.07x = 200

x = 200 / 0.07

x = 2587.15 grams

The daily recommended amount of carbohydrates is 2587.15 gram

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Answer:

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

Answer:

Perimeter = -3h + 24

Step-by-step explanation:

Forming the expression,

→ 7 + (14 - 6h) + (3h + 3)

Let's simplify the expression,

→ 7 + (14 - 6h) + (3h + 3)

→ 7 + 14 - 6h + 3h + 3

→ (-6h + 3h) + (7 + 14 + 3)

→ -3h + 24

Hence, answer is -3h + 24.

Answer:

L = 6 feet ; W = 4 feet

Step-by-step explanation:

l = 2 + w

perimeter/2 = 8

l + w > 8

2 + w + w > 8

2 + 2w > 8

2w > 8-2

2w > 6

2/2 w > 6/2

w > 3

smallest integer > 3 = 4

W= 4

L = 4 + 2 = 6

The function g(x) is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit of the parent function f(x).

A capability is a declaration, idea, or rule that lays out a relationship between two factors. Capabilities might be found all through science and are fundamental for the advancement of huge connections.

The functions are given below.

f(x) = x

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

g(x) = -3x + 1

The parent function is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit.

The functions g(x) and f(x) are shown below.

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Answer: [tex]\frac{3}{5}[/tex]of the class like blue

Step-by-step explanation:

There are : 40 - 12 - 4 = 24 ( students like blue )

[tex]\frac{24}{40}[/tex]= [tex]\frac{3}{5}[/tex]

Answer:

We can see that as x increases, y decreases. This indicates a negative slope meaning that the two variables are negatively related.

Hope this helps! :)

Answer:

Step-by-step explanation:

Solutionx% of 199 is 761 is  382.41206…% Answer 

Convert x% into a decimal and multiply by 199

In order to convert a percent to a ratio, divide it by 100:     

a%=a100 

a=x

x% =x100 

Convert to decimal form=0.01x

Multiply 0.01x by 199

=0.01x· 199=1.99x

Solve 1.99x=761  

1.99x=761  

x=761/1.99

x=382.41206%

The percent of the people surveyed were satisfied with the​ car will

be 45%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Total number of people in a survey of car = 1,500

And, 675 people said they would buy that type of car again.

Now,

Total number of people in a survey of car = 1,500

And, The people surveyed were satisfied with the​ car = 675

Hence, The percent of the people surveyed were satisfied with the​ car is;

= 675 / 1500  x 100

= 0.45 x 100

= 45%

Thus, The percent of the people surveyed were satisfied with the​ car will

be 45%.

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Answer:

y = - 17

Step-by-step explanation:

6y + x = - 59 → (1)

x = - 2y + 9 → (2)

substitute x = - 2y + 9 into (1)

6y - 2y + 9 = - 59

4y + 9 = - 59 ( subtract 9 from both sides )

4y = - 68 ( divide both sides by 4 )

y = - 17