solve:
(x-3)(2x+1)(3x-2)

Answer:

y=3x-250

Step-by-step explanation:

Slope intercept form: y=mx+b

Step 1) to find slope, use (y2-y1)/(x2-x1)

(101-77)/(117-109) = 3

m = 3

Step 2) determine y-intercept (b)

109 * 3 = 327

77-327 = -250

b=-250

y=3x-250

Answer:

Option B gives Ryan more earnings this weekend

Step-by-step explanation:

Option A = $7.75×7 hours= $54.25

Option B= 5% commission, if the play gets $2100, he will earn $105

Answer:

Mean: [tex]93.2\; \rm ^{\circ} F[/tex].

Standard deviation: [tex]4.086\; \rm ^{\circ} F[/tex].

Step-by-step explanation:

Consider a random variable [tex]X[/tex] with mean [tex]\overline{X}[/tex] and variance [tex]{\rm Var}(X)[/tex].

If a random variable [tex]Y[/tex] is obtained by linearly transforming [tex]X[/tex] for some constants [tex]m \ne 0[/tex] and [tex]b[/tex], then the mean of [tex]Y\![/tex] would be:

[tex]\overline{Y} = m\, \overline{X} + b[/tex].

[tex]\mathrm{Var}(Y) = m^{2} \, \mathrm{Var}(X)[/tex].

The standard deviation of a random variable is the square root of its variance. Therefore, the standard deviation of [tex]Y[/tex] would be:

[tex]\begin{aligned}\mathrm{SD}(Y) &= \sqrt{\mathrm{Var}(Y)} \\ &= \sqrt{m^{2}\, \mathrm{Var}(X)} \\ &= m\, \sqrt{\mathrm{Var}(X)} \\ &= m\, \mathrm{SD}(X)\end{aligned}[/tex].

In this question, the random variable [tex]F[/tex] is obtained by linearly transforming [tex]C[/tex] using the constants [tex]m = (9/5)[/tex] and [tex]b = 32[/tex]. That is:

[tex]F = (9/5)\, C + 32[/tex].

It is given that mean [tex]\overline{C} = 34[/tex] while standard deviation [tex]\mathrm{SD}(X) = 2.27[/tex]. The mean and standard deviation of [tex]F[/tex] obtained from the linear transformation would be:

[tex]\begin{aligned}\overline{F} &= m\, \overline{C} + b \\ &= (9/5) \times 34 + 32\\ &= 93.2\end{aligned}[/tex].

[tex]\begin{aligned}\mathrm{SD}(F) &= m\, \mathrm{SD}(C) \\ &= (9/5) \times 2.27 = 4.086\end{aligned}[/tex].

Thus, when measured in degrees Fahrenheit, the corresponding mean would be [tex]93.2\; \rm ^{\circ} F[/tex] and and standard deviation would be [tex]4.086\; \rm ^{\circ} F[/tex].

Creo que es la A

prueba a traducirla i luego buscalo cual es la repuesta

Answer:

probably 400 its closest to what i got

Step-by-step explanation:

Since there are complementary angles, the value of angle B is 39°.

Angle A = 7x + 23°

Angle B = 5x + 19°

It should be noted that the total angles in a complementary angle are equal to 90°.

Therefore, we need to add angle A and B together and then equate them to 90°. This will be:

7x + 23° + 5x + 19° = 90°

Collect like terms

12x + 42° = 90°

12x = 90° - 42°

12x = 48°

x = 48°/12

x = 4°

Angle A = 7x + 23° = 7(4) + 23° = 28° + 23° = 51°

Angle B = 5x + 19° = 5(4) + 19° = 20° + 19° = 39°

The value of angle B is 39°.

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[tex] \frac{4x + 16}{12} = x - 4 \\ = > 4x + 16 = 12(x - 4) \\ = > 4x + 16 = 12x - 48 \\ = > 16 + 48 = 12x - 4x \\ = > 64 = 8x \\ = > x = \frac{64}{8} \\ = > x = 8[/tex]

x = 8

Answer:

f(-1) = 3

Step-by-step explanation:

Plug -1 into the equation

-(-1)+2

Answer:

The answer is 6 1/5 feet in width.

Step-by-step explanation:

Since the formula for area is wl or width x length, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.

Hope this helps!

22 minutes is spent doing aerobics and 38 minutes doing stretching

Let x represent the amount of time spent doing aerobics, Let y represent the amount of time spent doing stretching.

Since the goal is to do a 60-minute workout, hence:

x + y = 60     (1)

Also, 416 calories needs to be burnt hence:

12x + 4y = 416    (2)

We need to solve equation 1 and 2 simultaneously; multiply equation 1 by 4 and subtract the result from equation 2, hence:

8x = 176

x = 22 minutes

Put x = 22 in (1)

22 + y = 60

y = 38 minutes

Therefore 22 minutes is spent doing aerobics and 38 minutes doing stretching.

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Answer:

hey there,

because of transversal line

Answer:

4

Step-by-step explanation:

32 divided by 8

Answer:

y=5

AQ=11

QX=14

Q is not a midpoint

Step-by-step explanation:

A line segment can be divided into equal or unequal segments

The values of x, AQ and QX are 5, 11 and 14.

The given parameters are:

[tex]\mathbf{AX = 25}[/tex]

[tex]\mathbf{AQ = 2y + 1}[/tex]

[tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AX = 25}[/tex] can be rewritten as:

[tex]\mathbf{AQ + QX =25}[/tex]

Substitute values for AQ and QX

[tex]\mathbf{2y + 1 + 3y - 1 =25}[/tex]

Execute like terms

[tex]\mathbf{5y =25}[/tex]

Divide both sides by 5

[tex]\mathbf{y =5}[/tex]

Substitute 5 for y in [tex]\mathbf{AQ = 2y + 1}[/tex] and [tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AQ = 2 \times 5 + 1 = 11}[/tex]

[tex]\mathbf{QX = 3 \times 5 - 1 = 14}[/tex]

Hence, the values of x, AQ and QX are 5, 11 and 14.

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Answer:

5 gallons

Step-by-step explanation:

1) How much did Helen spend per gallon?

16.72/8 = $2.09/gallon

2) 2.09g = 10.45

10.45/2.09 = g

Answer:

Part 1 : 22

Part 2 : 34

Step-by-step explanation:

Answer: the answer is 21√10

Step-by-step explanation:

Step-by-step explanation:

ini bahasa apa goblaok

Answer:

28

Step-by-step explanation:

first substract 49-21 which will give u 28.

then use this 28 for the other trapezium

add up 24 and 28 together which give 52. then substract 52 from 24 which will give u the answer 28. so therefore 28 is the answer.

hope u understood

Answer:

look up the packet name and after that put answer key

Step-by-step explanation:

.

Answer: First we need to create an equation

x+x+2+x+4=156

3x+6=156

3x=156–6

3x=150

x=50

The answer is 50,52, and 54.

Check

50+(50+2)+(50+4)=156

50+52+54=156

Step-by-step explanation:

Your welcome :)

Answer:

1. Yes and for 2. I don't know

Step-by-step explanation:

1. is a monomial because 21/27 is one group

Answer:

w = 20

Step-by-step explanation:

2 (3w - 6) = 5w + 8

distribute the 2

6w - 12 = 5w + 8

subtract 5w from both sides

w - 12 = 8

add 12 to both sides

w = 20

Answer:

The value of w is 20.

Step-by-step explanation:

Solution :

[tex]{\longmapsto{\tt{2(3w - 6)=5w + 8}}}[/tex]

[tex]{\longmapsto{\tt{(3w \times 2 )- (6 \times 2)=5w + 8}}}[/tex]

[tex]{\longmapsto{\tt{(6w)- (12)=5w + 8}}}[/tex]

[tex]{\longmapsto{\tt{6w - 12=5w + 8}}}[/tex]

[tex]{\longmapsto{\tt{6w - 5w = 8 + 12}}}[/tex]

[tex]{\longmapsto{\tt{w = 20}}}[/tex]

Hence, the value of w is 20.

[tex]\rule{300}{2.5}[/tex]

y=2

There is one horizontal asymptote present

Option C

92 because I'm really good at math

The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,

A.) X= 60

[tex]Z = \dfrac{X- \mu}{\sigma}=\dfrac{60- 70}{8} = -1.25[/tex]

B.) X = 71

[tex]Z = \dfrac{X- \mu}{\sigma} = \dfrac{71- 70}{8}=0.125[/tex]

C.) X = 92

[tex]Z = \dfrac{X- \mu}{\sigma}= \dfrac{92- 70}{8}=2.25[/tex]

Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

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The functions f(x) and g(x) combine to form a composite functions

The value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]

The functions are given as:

[tex]f(x) = \sqrt{2x[/tex]

[tex]g(x) = \sqrt{8x[/tex]

To calculate (fg)(x), we have:

[tex]f(x) = \sqrt{2x[/tex]

This gives

[tex]f(g(x)) = \sqrt{2g(x))[/tex]

Substitute [tex]g(x) = \sqrt{8x[/tex]

[tex]f(g(x)) = \sqrt{2*\sqrt{8x}[/tex]

Simplify

[tex]f(g(x)) = \sqrt{4\sqrt{2x}[/tex]

Hence, the value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]

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Answer:

f.g x = 4x

Step-by-step explanation:

Answer:

21

Step-by-step explanation

3 Units x 7 Units = 21 Square Units

Answer:

no.

Step-by-step explanation:

134% is 134/100, or 1.34

Answer:

f(x)=5x+25-1

8(x)- -2x-3

=30-1

=8x+6x

=29+14x

43x

The point of intersection of the two functions is (3, 27).

The system of equations is:

f(x) = 5x + 25 - 1 = 5x + 24

g(x) = 2x - 3

To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.

f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21

Solving for x, we get:

x = 21/7 = 3

Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).

f(x) = 5x + 24

f(3) = 5(3) + 24 = 27

Therefore, the point of intersection of the two functions is (3, 27).

To the nearest tenth, the point of intersection is (3.0, 27.0).

The point of intersection of the two functions is (3, 27).

The system of equations is:

f(x) = 5x + 25 - 1 = 5x + 24

g(x) = 2x - 3

To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.

f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21

Solving for x, we get:

x = 21/7 = 3

Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).

f(x) = 5x + 24

f(3) = 5(3) + 24 = 27

Therefore, the point of intersection of the two functions is (3, 27).

To the nearest tenth, the point of intersection is (3.0, 27.0)

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