For the rational function f(x)=(-13x-27)/(x^(2)-4x-12), F(x)=2

Answer:

can confirm guy or girl above me

Step-by-step explanation:

The solution to the equation is y=14/15.

The given equation is -3y+2/3=2y-4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, transpose -3y to RHS and simplify.

That is, 2/3=5y-4

Transpose -4 to LHS and simplify.

That is, 14/3=5y

Multiply by 1/5 on both sides of the equation.

So, 14/3×1/5=5y×1/5

⇒y=14/15

Therefore, the solution to the equation is y=14/15.

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Answer:

12

Step-by-step explanation:

so basically

(x^2+2)*(1-3x)=-3x^3+x^2-6x+2

now plug in -1

-3(-1)^3+(-1)^2-6(-1)+2=12

hope this helped :)

The correct value of (fg)(-1) is "12". A further solution of the given query is provided below.

Given functions are:

[tex]f(x) = x^2+2[/tex]

[tex]g(x) = 1-3x[/tex]

Now,

⇒ [tex](fg) = (x^2+2)(1-3x)[/tex]

By applying multiplication, we get

           [tex]=x^2+2-3x^3-6x[/tex]

           [tex]=-3x^3+x^2-6x+2[/tex]...(equation 1)

By substituting the value "-1" in place of "x" in equation 1, we get

⇒ [tex](fg)(-1) = -3(-1)^3+(-1)^2-(6)(-1)+2[/tex]

                  [tex]=-3(-1)+1+6+2[/tex]

                  [tex]=3+1+6+2[/tex]

                  [tex]=12[/tex]

Thus the right answer is (fg)(-1) = 12.

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Answer:

ella tiene que pagar 10 por mes. lo siento si no es así, esa no es la respuesta correcta.

Step-by-step explanation:

Answer:

$12,000.

Step-by-step explanation:

Given that in the year 2001, a person bought a new car for $ 15500, and for each consecutive year after that, the value of the car depreciated by 5%, to determine how much would the car be worth in the year 2005, to the nearest hundred dollars, the following calculation must be performed:

100-5 = 95

15,500 x 0.95 x 0.95 x 0.95 x 0.95 x 0.95 = X

14.725 x 0.95 x 0.95 x 0.95 x 0.95 = X

13,988.75 x 0.95 x 0.95 x 0.95 = X

13,289.3125 x 0.95 x 0.95 = X

12,624.846875 x 0.95 = X

11.993.60453125 = X

Thus, to the nearest hundred dollars, the cost of the car after 5 years will be $ 12,000.

Answer:

90°grados es la respuesta

Answer:

yes it is

Step-by-step explanation:

Yes the solution to p/9 = 7 is 63.

Answer:

29

Step-by-step explanation:

32 can be created from 4 x 8, so it is not.

42 can be created from 6 x 7, so it is not.

15 can be created from 5 x 3, so it is not.

29 cannot be created from any numbers multiplied.

Answer:

sin; 7.7

Step-by-step explanation:

✔️Reference angle = 50°

Length of side opposite to reference angle = b

Hypotenuse = 10

✅The trigonometric function to use is sin

✔️To find b (opp), we would use:

Sin 50 = opp/hyp

Sin 50 = b/10

10 × sin 50 = b

b = 7.66044443 ≈ 7.7 (nearest tenth)

Answer:

764900

Step-by-step explanation:

25x4 = 100

7649x100 = 764900

Answer:

t = 5/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

3t + 7 = 2 + 5t

Step 2: Solve for t

Answer:

Explanation:

3t + 7 = 2 + 5t

3t + 7 = 5t + 2

3t + 7 − 5t = 5t + 2 − 5t

−2t + 7 = 2

−2t + 7 − 7 = 2 − 7

−2t = −5

Divide both sides by -2

−2t / -2 = −5 / -2

t = ⁵⁄₂

t = 2.5

t = ⁵⁄₂ or 2.5

Given:

The two ratios are 13:15 and 30:26.

To find:

Whether the given ratios are equivalent or not.

Solution:

Two ratios are equivalent if the values of the ratio are equal after simplification.

[tex]13:15=\dfrac{13}{15}[/tex]

And,

[tex]30:26=\dfrac{30}{26}[/tex]

[tex]30:26=\dfrac{15}{13}[/tex]

[tex]30:26=15:13[/tex]

The first ratio is 13:15 and the value of second ratio after simplification is 15:13 both ratios are different, so,

[tex]\dfrac{13}{15}\neq \dfrac{30}{26}[/tex]

Therefore, the required answer is "No", the given ratios are not a pair of equivalent ratios.

Answer:11.39

Step-by-step explanation:

Answer:

32.13

Step-by-step explanation:

g = 15.3 x 2.1 = 32.13

Answer:

g= 15.3 *2.1= 32.13

Hence answer is 32.13

Answer: A

Step-by-step explanation:

Answer:5

Step-by-step explanation:I got it wrong and decided to give you guys the right answer.

Answer:

1

Step-by-step explanation:

[tex]\frac{1}{2}=.5 \\ \frac{1}{4}=.25[/tex]

0.5 + 0.25 + 0.25 = 1

espero que esto ayude :)

Answer:

x=99

Step-by-step explanation:

Move all terms not containing  x  to the right side of the equation.

Answer:

4. acute

5. obtuse

6. obtuse

Step-by-step explanation:

Step-by-step explanation:

x+9-10=500

x-1=500

x=500+1=501

Step-by-step explanation:

solution

here,

given,

x+9-10= 500

or, x-1= 500

or, x= 500-1

or, x= 499

hope this helps u...

Answer:

L = 5[tex]\sqrt{10}[/tex]

Step-by-step explanation:

use Pythagorean Theorem:

L² + (5[tex]\sqrt{2}[/tex])² = (10[tex]\sqrt{3}[/tex])²

L² + 25(2) = 100(3)

L² + 50 = 300

L² = 250

L = [tex]\sqrt{250}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{10}[/tex] = 5[tex]\sqrt{10}[/tex]

Answer:

by Pythagoras law

(10√3)²=l²+(5√2)²

100×3-25×2=l²

l²=25o

l=√250=5√10

:.l=5√10

Answer:

4 1/12

Step-by-step explanation:

Answer: 4 1/2

cause it is

Answer:

25°; 115°.

Step-by-step explanation:

all the details are in the attached picture, the answers is marked with red colour.

Answer:

1) Between 12.5 miles and 21.7 miles.

2) b) 75%

3) c) 95%

4) Between 13.7 miles and 20.5 miles.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Chebyshev Theorem:

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]P = 100(1 - \frac{1}{k^{2}})[/tex].

1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles.

Within k standard deviations of the mean, and k is found when [tex]P = 36[/tex]. So

[tex]P = 100(1 - \frac{1}{k^{2}})[/tex]

[tex]36 = 100 - \frac{100}{k^2}[/tex]

[tex]\frac{100}{k^2} = 64[/tex]

[tex]64k^2 = 100[/tex]

[tex]k^2 = \frac{100}{64}[/tex]

[tex]k = \sqrt{\frac{100}{64}}[/tex]

[tex]k = \frac{10}{8}[/tex]

[tex]k = 1.25[/tex]

Within 1.25 standard deviations of the mean.

1.25*3.7 = 4.6 miles

17.1 - 4.6 = 12.5 miles

17.1 + 4.6 = 21.7 miles

Between 12.5 miles and 21.7 miles.

2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.

17.1 - 9.7 = 24.5 - 17.1 = 7.4 miles, so within 2 standard deviations of the mean, which is 75%, option B.

3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.

Within 2 standard deviations of the mean, by the Empirical Rule, which is 95%, option c.

4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.

Within 1 standard deviation of the mean.

17.1 - 3.4 = 13.7

17.1 + 3.4 = 20.5

Between 13.7 miles and 20.5 miles.

Answer:

150 are girls.

Step-by-step explanation:

There is an important difference between the way counts are viewed in ratio to that in fractions.

The ratio of boys : girls

4:5

so you have 4 boys and 5 girls making the whole count in its simplest form.

4+5=9

So to change the ratio proportion into fraction proportion we have:

Boys: 4/9

Girls: 5/9

It is given that the whole is 270 therefore the count of girls is:

5/9 x 270 = 150

Answer:

$1,116.19.

Step-by-step explanation:

Given that artificial grass sells for $ 10.98 per square yard, to determine the final cost to buy and install 69.2 square yards if the seller charges $ 5.15 per square yard for labor, round to the nearest cent, the following calculation must be performed:

69.2 x (10.98 + 5.15) = X

69.2 x 16.13 = X

1,116,196 = X

Thus, the cost to purchase and install 69.2 square yards of artificial grass is $ 1,116.19.

Answer: D, C, A

Step-by-step explanation:

An exterior angle is an angle that is supplementary to an interior angle.

The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.

Exterior angles become by a side of that figure and its extended adjacent side.

The exterior angle has been attached.

Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.

Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.

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