15-9x 1/2

I’ll give Brainiest

Answer:

The equation of the new function is [tex]g(x) = 7x + 9[/tex]

Step-by-step explanation:

Vertically compress by a factor of 7.

Vertically compressing a function by a units is the same as:

[tex]g(x) = f(ax)[/tex]

In this question:

[tex]f(x) = x, a = 7[/tex]. So

[tex]g(x) = f(7x) = 7x[/tex]

Shift up 9 units.

Shifting a function up a units is the same thing as adding a to the function. In this case, [tex]a = 9[/tex], and then:

[tex]g(x) = 7x + 9[/tex]

The equation of the new function is [tex]g(x) = 7x + 9[/tex]

no fancy math here, just some reasoning with words. I just feel like it

for one step in x-direction the value of the function doubles, so the common factor is 2.

so let's trace it back

(1,-6)

(0, -3)

For an exponential function the y-intercept is the "initial value".

do let's write is as a function

[tex]y = - 3 \times {2}^{x} [/tex]

you could also use the points and plug their numbers into the general formula, but I felt this explanation could give you more understanding, since it's meant to be more intuitive.

hope it helps

Answer:

NQ : Summary

CodeNQOne-letter codeXMolecule name2-HYDROXYNAPHTHOQUINONESynonyms2-HYDROXY-1,4-NAPHTHOQUINONESystematic namesProgram Version Name ACDLabs 10.04 2-hydroxynaphthalene-1,4-dione OpenEye OEToolkits 1.5.0 2-hydroxynaphthalene-1,4-dione

Answer:

17x+12=12

17x=12-12

17x=0

divide both sides by 17

x=0

rough check

17(0) = 12-12

0=0

I hope this helps

Answer:

Answer: 3) R(n) = 1200(1.002)n - 100n

Step-by-step explanation:

After n months, which function represents Chet’s net worth, R(n)?

(1) R(n) = 1200(1.002)n + 100n

(2) R(n) = 1200(1.002)12n + 100n

(3) R(n) = 1200(1.002)n - 100n

(4) R(n) = 1200(1.002)12n - 100n

Answer: 3) R(n) = 1200(1.002)n - 100n

Net worth is the amount of his savings minus his debt,

Everything in the problem is in terms of months, so there is no need to multiply the exponent by 12, which would convert n years into months.

Answer:

7/6 ÷ 2 = 7/12 in fraction form. 

7/6 ÷ 2 = 0.5833 in decimal form

Step-by-step explanation:

6 divided by 7 equals 6/7 or 0.86

Answer:

— Ang salitang entrepreneur ay hango sa salitang French na entrepende na nangangahulugang?

Answer:

32%

Step-by-step explanation:

3 girls like biology, 8 like chem and the rest prefer physics. 28 people like chemistry, and 24 boys like physics. This leaves 29 boys and 3 girls liking bio.

9514 1404 393

Answer:

  21

Step-by-step explanation:

Rearranging the given ratio, we can find the ratio of boys to the total.

  boys : (boys +girls) = 7 : (7+8) = 7 : 15

Then the number of boys is ...

  (7/15)(45) = 21

There are 21 boys in the classroom.

Answer:

You have 500 marbles.

The longest side of the biggest equalateral triangle that you can make with your marbles is 31

Step-by-step explanation:

28 + 4 = 32

So our equation is:

TR(32) - 28

Now find Triangular Number 32: (32 *33)/2=528

528 - 28 = 500

So, we have 500 marbles

Now we need to find the longest side of the biggest equalateral triangle that you can make make with your marbles

Let's go back to 28 + 4 = 32

One row above 32 is 31

So the longest side of the biggest equalateral triangle that you can make with your marbles is 31

Hope this helps!

Answer:

3

Step-by-step explanation:

+2

Answer:

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Answer:

the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year

Step-by-step explanation:

Given the data in the question;

Let us represent the number of cows at the farm with x and

each cow produces y gallons of milk

Total mil production will be T.

so

T = x × y

now, differentiating with respect to t

dT/dt = d( xy )/dt

dT/dt = xdy/dt + ydx/dt

given that;

x = 441

y = 1157

dx/dt = -13

dy/dt = 39

so we substitute

dT/dt = ( 441 )( 39 ) + ( 1157 )( -13 )

dT/dt = 17199 - 15041

dt/dT = 2158

Therefore, the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year

Answer:

[tex]L =21.945[/tex] --- Length

[tex]W = 7.9725[/tex] --- Width

Step-by-step explanation:

Given

Let

[tex]L \to Length[/tex]

[tex]W \to Width[/tex]

So:

[tex]Area = 175[/tex]

[tex]L = 6 + 2W[/tex]

Required

The dimension of the rectangle

The area is calculated as:

[tex]Area =L*W[/tex]

This gives:

[tex]175 =L*W[/tex]

Substitute: [tex]L = 6 + 2W[/tex]

[tex]175 =(6 + 2W)*W[/tex]

Open bracket

[tex]175 =6W + 2W^2[/tex]

Rewrite as:

[tex]2W^2+ 6W -175 = 0[/tex]

Using quadratic formula:

[tex]W = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

This gives:

[tex]W = \frac{-6 \± \sqrt{6^2 - 4*2*-175}}{2*2}[/tex]

[tex]W = \frac{-6 \± \sqrt{1436}}{2*2}[/tex]

[tex]W = \frac{-6 \± 37.89}{4}[/tex]

Split

[tex]W = \frac{-6+ 37.89}{4}, W = \frac{-6- 37.89}{4}[/tex]

[tex]W = \frac{31.89}{4}, W = \frac{-43.89}{4}[/tex]

The width cannot be negative;

So:

[tex]W = \frac{31.89}{4}[/tex]

[tex]W = 7.9725[/tex]

Recall that:

[tex]L = 6 + 2W[/tex]

[tex]L =6 + 2 * 7.9725[/tex]

[tex]L =21.945[/tex]

Answer:

Suppose that we have a given point (x, y)

If we translate this point N units to the right, then the new coordinates of the point are:

(x + N, y)

Ok, now if we know that the vertices of the trapezoid are:

(1, 2), (3, 1), (3, 5), (1, 4)

And we move the whole figure 4 units to the right, then all the vertices are moved 4 units to the right.

Then the new vertices of the figure will be:

(1 + 4, 2) = (5, 2)

(3 + 4, 1) = (7, 1)

(3 + 4, 5) = (7, 5)

(1 + 4, 4) = (5, 4)

Then the coordinates of the image of the trapezoid (of the new vertices) are:

(5, 2),  (7, 1), (7, 5),  (5, 4)

Answer:

step 1 : 8/b = sin 45 degree so b = 11.31

step 2 : a/b = sin 60 degree, so a = 9.8

step 3: c/b = cos 60 degree, so c = 5.66

Volume of the sphere = 4/3πr³

905 1/7 = 4/3*22/7*r³

6336/7 = 4/3*22/7*r³

r³ = (6336*7*3)/(4*22*7)

r³ = 133056/616

r³ = 216 

r = ∛216

r = 6 cm 

So, diameter = 6*2 = 12 cm

Surface area of the sphere = 4πr²

= 4*22/7*6*6

= 3168/7

Surface area of the sphere = 452.57 sq cm

Hope it helps.

Answer:

the first one is 4 and the second one is 0

The missing side 'a' of the triangle ABC is 96.80 units.

What is a triangle?

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

Let ABC be the triangle and a,b,c be the respective sides of the triangle.

The diagram below shows that the triangle with their dimensions.

The dimensions are

A=60°, b=50, c=48.

The two sides and one angle of the triangle are given.

The missing side a can be found by using the law of cosines,

[tex]a=\sqrt{b^{2}+c^{2} -2abcosA }[/tex]

Substitute the above values,

⇒ [tex]a=\sqrt{50^{2}+48^{2} -2(50)(48)cos60 }[/tex]

⇒ [tex]a=\sqrt{2500+2304-4800(-0.9524)}[/tex]

⇒ [tex]a=\sqrt{2500+2304+4571.58}[/tex]

⇒ [tex]a=\sqrt{9375.58}[/tex]

⇒ [tex]a=96.82[/tex] ≈ [tex]96.80[/tex]

Hence we can conclude that the missing side 'a' of the triangle ABC is 96.80 units.

Learn more about triangles here

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Answer:

[tex]\cos(x - y) = \cos(x)\cos(y) + \sin(x)\sin(y)[/tex]

Step-by-step explanation:

Given

[tex]\cos(x - y)[/tex]

Required

State the formula

From trigonometry identity, the formula of [tex]\cos(x - y)[/tex] is:

[tex]\cos(x - y) = \cos(x)\cos(y) + \sin(x)\sin(y)[/tex]

Answer:

Step-by-step explanation:

Bisection implies dividing a given segment into equal haves by construction. So that in the given question, angle ABC would be divided into equal parts.

After drawing segment AB to given length, use a compass to construct the required angle ABC. Then use the ends of the arc for the angle to bisect the angle.

The construction to this question is herewith attached to this answer for more clarifications.

Answer:

Interest Earned ₹ 1,800

Principal Amount ₹ 10,000

Total Value ₹ 11,800

The cost of the loan for Mandy will be $11800 and the total interest for 3 years will be $1800.

Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

In another word, if the principle amount is the same in each time period then the interest will also same for every time period.

Given that

Principle amount = $ 10000

Time period = 3 years

Rate of interest = 6%

Rate of interest at the end of 1st year

10000 × 6/100 ⇒ $600

Since in simple interest rate of interest remain same so

Rate of interest for 3 years

3 × 600 = $ 1800 hence rate of interest will be $1800.

Cost of the loan = principle amount + total interest

Cost of the loan = 10000 + 1800 ⇒ $11800 will be the cost of the loan.

For more about simple interests,

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Answer:

b) What is the probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal? (Round your answer to four decimal places.)

Step-by-step explanation:

Answer:

The agency makes 23855

The agent makes 5963.75

Step-by-step explanation:

First find the commission for the agency

367000 * 6.5%

367000*.065

23855

Now the agent gets 25% of this amount

23855 *25%

23855 *.25

5963.75

Answer:

Step-by-step explanation:

The agency made $24,440.00

The Agent made $6,110.00

Answer:

B: A systematic random sample

Step-by-step explanation:

Systematic sampling is a type of probability sampling in which members of a larger population are chosen at random from a larger population but at a fixed, periodic interval. This interval, also known as the sampling interval, is calculated by dividing the population size by the sample size desired. Despite the fact that the sample population is chosen in advance, systematic sampling is still considered random if the periodic interval is set in advance and the starting point is chosen at random.

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

0.75 or 3/4

Step-by-step explanation:

f(-2) = 3•2^-2

f(-2) = 3•0.25

f(-2) = 0.75 or 3/4

Hope this helps! :)

Answer:

si si amigo adila

Step-by-step explanation: