f(x) = 382 – 3x + 1 1
Find f(-2)

Answer:

The equation in slope-intercept form is \(y=\frac{1}{14}x\).

Step-by-step explanation:

Given points are;

(-14, -1 ) and (0,0)

Slope of a line is given by;

m = \(\frac{y_2-y_1}{x_2-x_1}\)

m = \(\frac{0-(-1)}{0-(-14)}\)

m = \(\frac{1}{14}\)

General equation in slope intercept form is,

y = mx + b

Putting (-14, -1) and m = 1/14 in Equation to find b

-1 = \(\frac{1}{14}(-14) +b \\\)

-1 = -1 + b

b = -1 + 1

b = 0

As y-intercept is 0, the equation in slope-intercept form would be

\(y = \frac{1}{14}x\)

Hence,

The equation in slope-intercept form is \(y=\frac{1}{14}x\).

Answer: not here!

Step-by-step explanation: 72 ounces is 9 cups! (Divide by 8) (Assuming you mean US cups)

Applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

Trigonometric ratios are defined as the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

Reference angle (∅) = 60

Adjacent = 4√3

Opposite = ?

tan 60 = opp/adj

tan 60 = Opp/4√3

√3 = opp/4√3

Opposite = √3 × 4√3

Opposite = 12

Reference angle (∅) = 60

Adjacent = 4√3

Hypotenuse = ?

cos 60 = adj/hyp

cos 60 = 4√3/hyp

hyp = 4√3/cos 60

hyp = 4√3/1/2

hyp = 4√3 × 2

hyp = 8√3

Therefore, applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

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Let's evaluate the following function for f (5):

f(x) = 8x + 9

Now, we replace x by 5 and solve it, this way:

f (5) = 8 * 5 + 9

f (5) = I think you can multiply first and add then, easily.

Answer:

y= -2x - 2

Step-by-step explanation:

Y= Mx + b

M: slope of line

B: on y axis

Answer:

y=-2x-2

Step-by-step explanation:

hope this helps

Answer:

a = 4, b = 5

Step-by-step explanation:

we need to complete the square to get it in that form.

x^2 - 8x + 21

= x^2 - 8x + 16 + 5

= (x-4)^2 + 5

a = 4, b = 5

Answer:

x=9

Step-by-step explanation:

plug in the number 9

-2(9)= -18

-18+3= -15

Answer:

5

Step-by-step explanation:

Answer:

The answer for your question is C. 22°, 22°, and 136°.

Explanation:

A right triangle will always have one angle that is 90°.

All of the other options have a 90° angle, so your answer is C.

Hope this helps!

Since we want to find the number of trips to the park for which paying daily admission is more expensive than purchasing a season pass​, we can express an inequality, like this:

total daily admission cost > season pass cost

The total daily admission cost, can be expressed as the number of days that this pass is purchased (n) times the daily admission cost ($39), and the season pass cost equlas $117, then we get:

$39*n > $117

From this expression we can solve for n, then we get:

Then, more than 3 daily passes would be more expensive than the season pass. Since it must be more than 3, the answer is 4 trips

Answer:

A= πr2

Step-by-step explanation:

The area of circle can be calculated by using the formulas: Area = π x r2, in terms of radius 'r'. Area = (π/4) x d2, in terms of diameter, 'd'. Area = C2/4π, in terms of circumference, 'C'.

Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

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A total of 3 five ounces glass are needed so have the same alcohol as that of a 12 ounce glass.

In order to find the number of glass of capacity five ounces that will have the same capacity as that of the twelve ounce glass can be calculated as followed,

Let us say that n number of five ounces glasses are required to equate 12 ounce glass.

Now, we can write the relation,

using simple algebra,

n(Five ounces glasses) = 1 Ounce alcohol content

n = 12/5

n = 2.4

But, we have to answer an integral value, so, we will say that the required number of the glasses is 3.

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Answer:

YOU DO IT X 2

Step-by-step explanation:

The polynomial equation be x⁴ + 2x² - 63 then the factoring group exists  ( x² - 7) (x² + 9).

Factorization is the process of dividing a large number into smaller numbers that, when multiplied together, yield the original number. Factorization occurs when you divide a number into its factors or divisors.

Let the given polynomial equation be  x⁴ + 2x² - 63

By factoring the above polynomial equation, we get

Here the coefficient of the first term, x⁴, is 1.

The coefficient of the middle term, 2x², is 2.

The final term, "the constant," is -63.

To find -63 factors whose sum equals the middle term's coefficient, which is 2.

-63 + 1 = -62

-21 + 3 = -18

-9 + 7 = -2

-7 + 9 = 2

Split the middle term of the polynomial using the two factors found in step 2 above, -7 and 9 .

x⁴ - 7x² + 9x² - 63.

= ( x² - 7) (x² + 9)

∴ x⁴ + 2x² - 63 = ( x² - 7) (x² + 9) .

The polynomial equation be x⁴ + 2x² - 63 then the factoring group exists (x² - 7) (x² + 9).

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The exact scaled dimensions of the room is: 81 inches by 60 inches

First, we convert 27 ft. and 20 ft. to inches to make it easier to work with. This would convert like this:

27 ft. x 12 in. = 324 in.

20 ft. x 12 in. = 240 in.

This also means that the scale converts to 1/4 in. = 12 in.

Now, take the 324 in. and 240 in. and apply them to the scale.

For every 12 in. (1 ft.) in the non-scale room dimensions, there will be one 1/4 in. on the scale. That would apply like this:

324 in. (27 ft.) * 1/4 in. = 81 in. [or 6.75 ft.]

240 in. (20 ft.) * 1/4 in. = 60 in. [or 5 ft.]

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The probability that the jet ski is for two persons and has turbo packs is 10/29. The probability that the jet ski is not for two persons but has turbo packs is 8/29. The probability does not have turbo packs is 4/29.

To find the probabilities for the given events, we need to use the concept of set operations and the given information about the number of jet skis.

a. The event "The jet ski is for two persons and has turbo packs" corresponds to the intersection of the events T (two-person ski) and P (turbo packs). From the information provided, we know that 10 jet skis satisfy both conditions. Therefore, the probability is 10/29.

b. The event "The jet ski is not for two persons but has turbo packs" corresponds to the complement of the event T (two-person ski) intersected with the event P (turbo packs). Since there are a total of 29 jet skis and 10 of them satisfy both conditions, we have 29 - 10 = 19 jet skis left. Out of these, 8 jet skis have turbo packs but are not for two persons. Therefore, the probability is 8/29.

c. The event "The jet ski is for two persons but does not have turbo packs" corresponds to the complement of the event P (turbo packs) intersected with the event T (two-person ski). Since there are a total of 29 jet skis and 10 of them satisfy both conditions, we have 29 - 10 = 19 jet skis left. Out of these, 4 jet skis are for two persons but do not have turbo packs. Therefore, the probability is 4/29.

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The minimum monthly income will be $6165 and the hourly wage to cover the expenses will be $8.5625.

From the information given, the minimum monthly income will be $6165 since that's needed to cover the expense.

Also, the hourly income will be:

= 6165/(24 × 30)

= 6165/720

= 8.5625

The hourly income will be $8.5625.

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Answer:

I think C sorry if wrong

The critical ratio (cr) will be less than one if the amount of work left is larger than the amount of time left.

In a work center, the critical ratio is a rule of thumb used to prioritize jobs that need to be processed (CR). The remaining shop time is divided by the equation (due date - today's date), and the result is the CR priority index number. When sequencing according to these criteria, the job with the lowest CR is put on the schedule first. a dispatching rule that generates a priority index number by dividing the amount of time remaining before the deadline by the estimated amount of time required to accomplish the job. Ratios below 1.0 are frequently thought of as being behind schedule, whereas ratios over 1.0 are thought of as being ahead of time. Critical ratio (CR) = CPI x SPI

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Answer:

\(\frac{5}{9}\)

Step-by-step explanation:

\(\mathrm{Given,}\\\mathrm{(x_1,y_1)=(7,8)}\\\mathrm{(x_2,y_2)=(-2,3)}\\\mathrm{Now,}\\\mathrm{Slope = \frac{y_2-y_1}{x_2-x_1}=\frac{3-8}{-2-7}=\frac{-5}{-9}=\frac{5}{9}}\)

Answer:

(2, –3) is a solution to the system of linear equations.

Step-by-step explanation:

Given: Equations:

3x - y = 9 --------(1),

4x + y = 5 --------(2),

Add Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14  ( Combine like terms )

x = 2   ( Divide both sides by 7 ),

From equation 1:

3(2) - y = 9

6 - y = 9

-y = 9 - 6    ( Subtraction 6 on both sides )

-y = 3

y = - 3     ( Multiplying -1 on both sides )

Answer:

-12оэээжжоояффпвнтоее

Answer:

Step-by-step explanation:

first note that 5/4 of a revolution comes out to (5/4)(2π) radians, or

5/8 radian.  Thus, the distance traveled by the point is

s = rФ, where r is the radius and Ф is the angle through which the blade rotates.  Here we have:

s = (224 ft)(5/4)π ft

The equivalent expression for \(\left(\frac{1.4^2}{1.2^4}\right)^{-6}\)is (D) \(\frac{1.2^{24}}{1.4^{12}}\).

The product of same base different exponent is given by the sum of exponents with same base.

Any power value of 1 is alsways 1.

Given that the expression is

\(\left(\frac{1.4^2}{1.2^4}\right)^{-6}=\frac{1^{-6}.4^{-12}}{1^{-6}.2^{-24}}=\frac{1.2^{24}}{1.4^{12}}\)

Hence the correct option is (D).

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\(d = \frac{d(10 {}^{k + p} - 10 {}^{k}) }{(10 {}^{k + p} - 10 {}^{k})} \)

where

Step-by-step explanation:

Greetings !

use the above formula to change any decimal into fraction form

Thus, plug in the value and solve

Hope it helps !

Answer:

quadratic formula is the answer

The locations of the linear pair angles, the angle expressions, indicates that the  value of x is 24, and we get;

m∠FLS = 108°

m∠SLT = 72°

m∠ALG = 18°

Linear pair angles are angles that together form a straight line.

Linear pair angles are supplementary.

The linear pair angles, ∠FLS and ∠FLG, indicates;

(4·x + 12)° + (3·x)° = 180°

7·x + 12 = 180

7·x = 180 - 12 = 168

x = 168/7 = 24

x = 24

Therefore; m∠FLS = (4 × 24 + 12)° = 108°

∠SLT ≅ ∠FLG, vertical angles theorem, therefore;

m∠SLT = m∠FLG = (3·x)°

x = 24

m∠SLT = m∠FLG = (3 × 24)° = 72°

m∠SLT = 72°

∠ALF = ∠FLG + ∠ALG (Angle addition property)

∠ALF is a right angle, therefore, ∠FLG and ∠ALG are complementary, angles

∠FLG + ∠ALG = 90°

m∠ALG = 90° - m∠FLG

m∠ALG = 90° - 72° = 18°

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Answer:

every 5 units to the left you go 28 upwards???

i hope this helps have a nice day

Step-by-step explanation:

6 because you need to find the slope of this and 6 is the slope