Evaluate the function: f(-x)=x^2+9x-6

ANSWER

t = 10.27

EXPLANATION

Step 1: Given

Step 2: Divide both sides by 500

Step 3: Take the natural logarithm of both sides

Step 4: Divide both sides by 0.0675

Hence, t = 10.27 (rounded to the nearest hundredth).

The solution to the system, as an ordered triple is: (3, -4, 6).

To solve the following given system of equations:

2x + y + 3z = 20 --> eqn. 1

x + 2y - z = -11 --> eqn. 2

3x - 2z = -3 --> eqn. 3

Multiply equation 1 by 2 to get eqn. 4:

4x + 2y + 6z = 40 --> eqn. 4

Subtract eqn. 4 from eqn. 2:

x + 2y - z = -11 --> eqn. 2

4x + 2y + 6z = 40 --> eqn. 4

-3x - 7z = -51 --> eqn. 5

Add equations 3 and 5 together:

3x - 2z = -3 --> eqn. 3

-3x - 7z = -51 --> eqn. 5

-9z = -54

z = -54/-9

z = 6

Substitute the value of z into equation 5:

-3x - 7(6) = -51 --> eqn. 5

-3x - 42 = -51

-3x = -51 + 42

-3x = -9

-3x/-3 = -9/-3

x = 3

Find the value of y by substituting the values of x and z into equation 1:

2(3) + y + 3(6) = 20 --> eqn. 1

6 + y + 18 = 20

24 + y = 20

y = 20 - 24

y = -4

The solution as an ordered triple is: (3, -4, 6).

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Answer:

4.5*10^(4)*(6.8*10^(-8)=3.06*10^-3

(2.8*10^(2)*(6.5*10^(-7)=1.82*10^-4

((5.6*10^(-3))*(7.7*10^(-9)))/((8*10^(-2))*(3.5*10^(-6)))=1.54*10^-4

then the other fraction one equals 9.45*10^-4

Step-by-step explanation:

Solving the first expression, we have:

(4.5⋅10^4)⋅(6.6⋅10^−8)

=30.6⋅10^−4

=3.06⋅10^−3

So the first expression goes into the second box.

For the second one, we have:

(2.8⋅10^2)⋅(6.5⋅10^−7)

=18.2⋅10^−5

=1.82⋅10^−4

So the second expression goes into the first box.

Put the third expression into the fourth box and the fourth expression into the third box

Answer: 94 pounds

Step-by-step explanation:

12 plus 82 equals 94

Answer: 94 pounds

Step-by-step explanation: Just add them together. 12+82 is 94.

Answer:

Step-by-step explanation:

\(distance = 15 miles\\time = 0.1 hours\\\\Speed = \frac{Distance}{time}\\ Speed = \frac{15}{0.1}\\ Speed =150\)

Answer:

\(150mph\)

Step-by-step explanation:

Given:

s=15miles

t=0.1hours

Required:

v=?

Formula:

\(v = \frac{s}{t} \)

Solution:

\(v = \frac{s}{t} = \frac{15m}{0.1h} = \frac{150m}{1h} = 150mph\)

Hope this helps ;) ❤❤❤

Answer:

1/6 is the answer and in decimal form if you need it that way is 0.16

How To get the answer step by step:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 8 by 8, and get 64.

Then we multiply 4 by 12, and get 48.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

64/96 − 48/96

Since our denominators match, we can subtract the numerators.

64 − 48 = 16

So the answer is:

16/96

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

16/96÷ 2 = 8/48

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

8/48÷ 2 =4/24

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

4/24÷ 2 =2/12

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

2/12÷ 2 =1/6

2 is larger than 1. So we're done reducing.

There you have it! The final answer is:

8/12−4/8=1/6

Step-by-step explanation:

Hope this helped you

By using trigonometry, we find that Traveling directly from New York City to Buffalo would save approximately 50 miles.

To find the angle at which the engineer should build the highway, we can use trigonometry. Let's call the distance between New York City and Buffalo "d". Then, the distance traveled if going through Albany would be 170 + 280 = 450 miles.

We can use the cosine function to find the angle x:

cos(x) = adjacent/hypotenuse = d/450

x = cos^(-1)(d/450)

To find the value of x, we need to know the value of d. If we assume that the distance between New York City and Buffalo is approximately 400 miles, then:

x = cos^(-1)(400/450) = 23.6 degrees (rounded to the nearest tenth)

Therefore, the engineer would need to build the highway at an angle of approximately 23.6 degrees.

To find how many miles would be saved by traveling directly from New York City to Buffalo rather than going through Albany, we can subtract the distances:

450 - d = 450 - 400 = 50 miles (rounded to the nearest mile)

Therefore, traveling directly would save approximately 50 miles.

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(x+5)² + (y+2)² = 4

(x - x0)² + (y - y0)² = r²

with circle center point (x0 ; y0) and r for circle radius

so you have to place the point (- 5 ; - 2) and graph the circle with r = 2

Answer:

Answer B

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.60

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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Answer:

Step-by-step explanation:

You want the area and volume ratios when two figures have a similarity ratio of 2 : 7.

The ratio of areas is the square of the similarity ratio:

  2² : 7² = 4 : 49

The ratio of volumes is the cube of the similarity ratio:

  2³ : 7³ = 8 : 343

__

Additional comment

It can help to think about the units of area and volume. For linear dimensions in inches, area dimensions are in square inches, and volume dimensions are cubic inches. Any ratio of inches will be squared when those inch dimensions are used for area, and will be cubed when volume is computed.

  side length of a square or cube: smaller: 2", larger: 7"

  area of the square: smaller: 2² in², larger: 7² in² or 4 in² and 49 in²

  volume of the cube: smaller: 2³ in³, larger: 7³ in³ or 8 in³ and 343 in³

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Answer:

90%

Divide 180 by 200, and you get .9. Convert that into. a percentage

The missing parts of the proof are: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

A square is a special type of rectangle whose consecutive sides are congruent. All four sides of a square are congruent.

In the proof given, the distance formula \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\) was used to find ST = a units in step 2.

By the definition of congruence, RS = ST in step 4.

Finally, RSTU is stated to be a square because if two consecutive sides of a rectangle are congruent, then it is a square.

The option that completes the proof in the right order is: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

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Answer:

distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it’s a square

Step-by-step explanation:

so its c for me

5t-3=3t+9

5t-3-3t=3t+9-3t

2t-3=9

2t-3+3=9+3

2t=12

2t/2 =12/2

t=6

Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

Answer:

29 and 17

Step-by-step explanation:

Sum: 29 + 17 = 46

Difference: 29 - 17 = 12

Answer:

The answer is 17 and 29.

17+29=46.

29-17=12

Answer:

20.9

Step-by-step explanation:

its the same as the other side, don't think to much about it

Answer:

20.9 Is the right answer

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

525=275

x−13⋅(x+34y)−y+38=2x3−5y4+38

y=2x3−5y4+38

Answer:

His mark, as a percentage, was of 40%.

Step-by-step explanation:

Mark as a percentage:

His mark as a percentage is the number of questions correct multiplied by 100% and divided by the number of questions.

In this problem:

60 questions correct out of 150. So

60*100%/150 = 40%

His mark, as a percentage, was of 40%.

Possible expressions for the length and the width of her pantry floor are x + 3 and x + 8

The function given for the area of the rectangular pantry floor is expressed as;

Area = x2 + 11x + 24

Now, let's solve the quadratic equation using the factorization method

Multiply the coefficient of x squared by the constant + 24

Then, find the pair factors of product that sums up to 11 and substitute the values

We get;

x² + 8x + 3x + 24

Factor in pairs, we have;

(x² + 8x) + (3x + 24)

Now, factor the common terms, we have;

x( + 8) + 3(x + 8)

Then, the expression for x are;

Length = x + 3

Width = x + 8

Hence, the expressions are x + 3 and x + 8

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Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

The sum total by the given data is equals to $658,880.

We are given that;

Percent=15%

Amount= $98,880

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:

15% = 0.15

To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:

$98,880 / 0.15 = $98,880 x 1/0.15

To multiply by 100, we can move the decimal point two places to the right. This gives us:

$98,880 x 1/0.15 x 100 = $658,880

Therefore, by the percentage the answer will be $658,880.

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Answer:

A. 390

Step-by-step explanation:

An exponential function can be written in the form \(f(n)=a\times b^n\), where \(a\) is your starting population, \(b\) is the factor by which the population increases, and \(n\) is the number of terms. In this case, \(a=740\), \(b=0.88\) because the population decreases by 12 percent (1-0.12=0.88), and \(n=5\).

Thus, \(f(5)=740 \times 0.88^5\), which is roughly equal to 390.

The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

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Answer:

A and B (2r and 7b)

Step-by-step explanation:

If she has black beans that cost $7 per pound the expression should be 7b. Hope this helps! Lmk if you have any more questions.

Answer:

V = 4/3 units

Step-by-step explanation:

See attachment for calculation.

Then we substitute for y and z in the rewritten equation

x = 6 - 2y - 3z, where

y = 1

z = 2/3

x = 6 - 2(1) - 3(2/3)

x = 6 - 2 - 2

x = 2

Recall I stated that the volume of a rectangular box is

V = xyz, now we substitute for all the unknown variables.

V = 2 * 1 * 2/3

V = 4/3 units.

Answer:

0.23

Step-by-step explanation:

If you convert 0.23 into a percent, it becomes 23%, which is more than 2.3%.

Hope that helps!

-Sabrina

Answer:

y = 658.3 ft

Step-by-step explanation:

Alternate angles are equal. Therefore,

Reference angle (θ) = 28°

Length of side Opposite to reference angle = 350 ft

Adjacent side = y

Apply TOA, which is:

Tan θ = Opp,/Adj

Substitute

Tan 28 = 350/y

y*tan 28 = 350

y = 350/tan 28

y = 658.3 ft (nearest tenth)