Please help me with this asap

The transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift

Stretching:

If f(x) = x³ and g(x) = -2x³, then the transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.

Hence, the transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.

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By knowing the blood pressure and applying the quadratic formula, the age of a man whose normal blood pressure is 129 mm Hg is 40 years old.

In this problem we have a quadratic function that models the blood pressure as a function of age. As the latter is known, we must use the quadratic formula to determine the former:

129 = 0.006 · A² - 0.02 ·A + 120

0.006 · A² - 0.02 · A - 9 = 0

[tex]A = \frac{0.02 \pm \sqrt{0.006^{2}-4\cdot (0.006)\cdot (- 9)}}{2\cdot (0.006)}[/tex]

A = 1.667 + 38.733

A = 40

By knowing the blood pressure and applying the quadratic formula, the age of a man whose normal blood pressure is 129 mm Hg is 40 years old.

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Answer:

(-3, -5) is not a solution of the equation 7x - 5y = 15

Step-by-step explanation:

1) Knowing that coordinates are given to us as (x, y), plug in the ordered pair into the equation. [tex]7(-3)-5(-5)=15[/tex]

2) Do PEMDAS on the left side of the equation

Answer:

Not a solution

Step-by-step explanation:

Hello!

We can determine if it's a solution by plugging in the x and y-values of the point into the equation. If both sides are equal to each other, then it is a solution.

-3 is the x-value and -5 is the y-value, since an ordered pari is written in the form of (x,y).

Since both sides are not equal to each other, (-3,-5) is not a solution.

Answer:

logarithmic

Step-by-step explanation:

I'm jujust that good to help you

Answer:

Answer:

0.29287

Step-by-step explanation:

You want to use the binomial cumulative distribution function (binomcdf). The purpose of this function is that it allows you to obtain the probability of observing less than or equal to x successes in n trials, with the probability p of success on a single trial.

x in this case is 182, n is 200, and p is 0.9005. Essentially by inputting these values, we find the probability that out of 200 passengers with a 0.9005 chance of getting on the plane, that 182 or less show up.

This gives us P(x <= 182) = 0.70713. (You need your calculator for this step, input the values above in the binomcdf function)

We want to find the probability of more than 182 passengers showing up though, so it would be 1 - 0.70713 = 0.29287.

Thus the probability that when 200 reservations are accepted for the flight, there are more passengers than seats available is 0.29287.

Answer:

7

Step-by-step explanation:

When x = 5, 2x³ - 12x² + 11x + 2 = 7.

Using proportions, it is found that it would take 6.4 days for 8 men to dig a trench of 360 meters long working at the same rate.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the rule of three is given as follows:

8 days - 15 men - 240 meters

x days - 18 men - 360 meters

The number of men is inverse proportional to the number of days, hence we divide 18 by 15 instead of 15 by 18, then:

[tex]\frac{8}{x} = \frac{18}{15} \times \frac{24}{36}[/tex]

[tex]\frac{8}{x} = \frac{6}{5} \times \frac{4}{6}[/tex]

[tex]\frac{8}{x} = \frac{5}{4}[/tex]

Applying cross multiplication:

5x = 32.

x = 32/5

x = 6.4 days.

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The change of displacement with respect to time is defined as speed. Velocity is a vector quantity. The instantaneous velocity at t = 2 is -12.

The change of displacement with respect to time is defined as Velocity. velocity is a vector quantity. It is a time-based component. Its standard unit is m/sec.

Given that the position of an object at time t is given by s(t) = 1 - 12t. Therefore, the velocity of the object can be written as,

V = ds/dt

   = d(1 - 12t)/dt

   = -12

s'(t) = -12

Now, the instantaneous velocity at t=2 is,

s'(2) = -12

Hence, the instantaneous velocity at t = 2 is -12.

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Using scientific notation, the correct statement is given by:

C. Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

Considering the amounts in scientific notation, the standard amounts in acres of each corporation are given as follows:

Hence corporation C owns the most land. 320,000/40,000 = 8, hence Corporation A owns 8 times more land than corporation B, and statement C is correct.

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Answer:

20 months

Turn sentences into equation:

She deposits $225 every month after initial deposit of $2500 in first month

Equation: y = 2500 + (x - 1)225

where y represents total amount, x represents months

Use this equation to find at which month her account will have $6,775

2500 + (x - 1)225 = 6,775

(x - 1)225 = 6,775 - 2,500

(x - 1)225 = 4275

x - 1 = 19

x = 20

Thus, it will take 20 months when she have a total of $6,775.

So Explicit formula for 2nd one

Or general formula as per Geometric progression

For 50 years there are 365(50)=18250days excluding leap years (We will check for leap year if neck to neck situation arises)

Now find sum

Sum of 18250 terms

[tex]\\ \rm\Rrightarrow \dfrac{a(r^n-1)}{r-1}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1(2^{18250}-1)}{2-1}[/tex]

1 from both denominator and numerator cancels out

[tex]\\ \rm\Rrightarrow 2^{18250}-1[/tex]

[tex]\\ \rm\Rrightarrow 6.272214002E5493[/tex](Accurate)

It's far more than 1 M so second option would give you more penny

The value of x has a positive sign and the value of y has a negative sign. Option C

An angle in the unit circle of angle α with a radius of 1 with the set of points;

cos α and sin α

In the given problem, we have the angle as -60º, which is equal to an angle of 360 - 60 to give us 300º

Also, it is in the fourth quadrant, where the cosine is positive and the sine is negative.

Thus, the value of x has a positive sign and the value of y has a negative sign.

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The independent variable is brush strokes

The statement is given as:

"I did 60 brush strokes in 1 minute"

The independent variable is the action that is done.

From the statement.

The action is the strokes of brush

Hence, the independent variable is brush strokes

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Answer:

The answer is 15x + 7

Step-by-step explanation:

Since the perimeter of a REGULAR polygon is the number of sides multiplied by the length, and the lengths of the sides are all different, it can be assumed that this is an irregular polygon. That means the formula to find the perimeter changes to all the sides added together.

 1 x + 3

 2 x - 4

 5 x + 0

+ 7 x + 8

 15 x + 7

Answer:

Your average improved by 13 [tex]\frac{1}{3}[/tex] %.

Step-by-step explanation:

First set:

(75 + 85 + 90 + 90 + 100 + 75 + 80 + 100 + 90) ÷ 9 = 77 [tex]\frac{2}{9\\}[/tex] %

Second set:

(85 + 85 + 100 + 90 + 100 + 85 + 80 + 100 + 90) ÷ 9 = 90 [tex]\frac{5}{9}[/tex] %

Improvement:

90 [tex]\frac{5}{9}[/tex] % - 77 [tex]\frac{2}{9\\}[/tex] % = 13 [tex]\frac{1}{3}[/tex] %

Answer:

$84

Step-by-step explanation:

So since it charges 4%, this means you need to find 4% of what you're transferring. To find x% of a number, you need to convert the percentage to a decimal, and then multiply it by the number you're trying to find x% of. So in this case 4%/100 = 0.04. Now take this decimal and multiply it by 2100, and this will give you 84. So the fee would be $84

Answer:

$84

Step-by-step explanation:

= 4% × $2100

= 0.04 × $2100

= $84

In the the figure above AC bisects BCD in the quadrilateral, the length of CD will be 6cm.

It should be noted that the longer diagonal is a perpendicular bisector of the shorter diagonal.

From the diagram given, the value of AD is 6cm. Therefore, according to the angle bisector theorem, the value of CD is 6cm as they're congruent.

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Answer:

D.134

Step-by-step explanation:

The expression for the total number of units of the product received is x + y.

The total will be =y+x because it will be the sum of the two shipment quantities.

b. Cost = $.20(x)+$.25(y) because the cost will be the sum of the costs per unit for each shipment.

c. 5000 =x+y allows for any combination of x and y units.

d. Total will be: x+y where x<=4000 and y<=3000

e. The minimum cost is where a and b are minimized in demand =ax+by. We cannot determine a maximum value for a or b because we do not know what the demand is. If the problem calls for referral to part b, then use the equation demand=$.20x

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Hey!

Your equation is -

[tex]x {}^{2} - 25 + 16 = 0[/tex]

[tex]x {}^{2} - 9 = 0[/tex]

We can write 9 as 3² (Why?) because it forms identity a² - b² = (a + b) (a - b) .

[tex]x {}^{2} - {3}^{2} = 0[/tex]

[tex](x - 3)(x + 3) = 0[/tex]

This gives the information that either,

x - 3 = 0 or x + 3 = 0

So, x = 3 or x = -3

Hope it helps, you may ask if you have any confusions ^-^

Answer:

x = 3,   x = -3

Step-by-step explanation:

x² - 25 + 16 = 0

⇒ x² - 9 = 0

• Add 9 to both sides:

⇒ x² = 9

• Square root both sides of equation:

x = [tex]\sqrt{9}[/tex]

x = ± 3

x = 3  and  x = -3

Answer:

1

Step-by-step explanation:

So the sum of a finite geometric series can be defined as: [tex]S_n = \frac{a_1-a1*r^n}{1-r}[/tex] where r is the constant ratio or how much more greater the current term is, compared to the previous term (how much it's being multiplied by), and the n is the number of terms in the series. So with the given information you have the equation:

[tex]1365=\frac{a_1-a_1*4^6}{1-4}[/tex]

Simplify:

[tex]1365=\frac{a_1-4096a_1}{-3}[/tex]

Multiply both sides by -3

[tex]-4095 = a_1-4096a_1[/tex]

Subtract coefficients

[tex]-4095=-4095a_1[/tex]

Divide both sides by -4095

[tex]1 = a_1[/tex]

Answer:

y = -2x + 31

Step-by-step explanation:

Vertex form a parabola refers to a place or a point where it turns. It takes the form of;

y = mx + c

From our question, we are supposed to convert the equation y-7 = (12-x)2 into vertex form.

To begin, open the brackets on the RHS;

y - 7 = 24 - 2x.

Then move -7 to the RHS which becomes the positive.

Y = 24 - 2x + 7

= 31 - 2x

Convert it to the form y = mx + c.

y = -2x + 31

This is the vertex form, y = -2x + 31.

Note:

Answer:

9

Step-by-step explanation:

35(a) / 7 = 5

28(b) / 7 = 4

a + b = 35 + 28

35 + 28 = 63

63 / 7

= 9

Hope that helps! :)

Answer:

4

Step-by-step explanation:

divide the numbers

subtract the numbers

final answer:
= 4

Answer:

Yes, they are congruent

Step-by-step explanation:

The triangles are congruent as they follow the ASA rule or, Angle Side Angle.

All the angles AND sides are corresponding, so they are congruent.

Hope this helped (:

Answer:

[tex]\huge\boxed{\sf 64}[/tex]

Step-by-step explanation:

[tex]f(x) = 8^x[/tex]

Put x = 2

[tex]f(2) = 8^2\\\\f(2) = 8 \times 8\\\\f(2) = 64\\\\\rule[225]{225}{2}[/tex]

Answer:

(1, 2)

Step-by-step explanation:

So you can solve this systems of equations by substitution. Substitution involves "finding" the value of one of the variables and then substituting that into the other equation

In this example I'll try to define an equation equal to that of "2x" using the first equation and then substitute that into the second equation

Given:

[tex]x-3y=-5[/tex]

Add 3y to both sides

[tex]x=3y-5[/tex]

Multiply both sides by 2

[tex]2x = 6y-10[/tex]

Given:

[tex]2x+5y=12[/tex]

Substitute 2x as (6y-10)

[tex](6y-10)+5y=12[/tex]

Simplify

[tex]11y-10=12[/tex]

Add 10 to both sides

[tex]11y = 22[/tex]

Divide both sides by 11

[tex]y=2[/tex]

Plug 2 in as y (works for either given equation)

[tex]x-3(2)=-5[/tex]

simplify

[tex]x-6=-5[/tex]

add 6 to both sieds

x=1

Answer:

Step-by-step explanation:

2 over 6 = Y over 9 Fraction equation is required

2/6 = y/9

y = 2/6 * 9

y = 3

check

2/6 = 3/9

1/3 = 1/3

the answer is good