Given a polynomial function f(x) = –x2 + 2x + 1 and an exponential function g(x) = 2x, what key features do f(x) and g(x) have in common?
A.) Both f(x) and g(x) decrease over the interval of [1 , [infinity]).
B.) Both f(x) and g(x) have the same range of (–[infinity], 2).
C.) Both f(x) and g(x) have the same x-intercept of (–1, 0).
D.) Both f(x) and g(x) have the same y-intercept of (0, 1).

Answer:

the answer is 45 if its is what you need

Step-by-step explanation:

i got 100 on test and had that question

The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time

z-score is the number of standard deviations from the mean value of the reference population

99%=0.99

The z-value associate with 0.99 is 2.33:

2.33 = (X - 12425) / 595:

X - 12425 = 2.33 * 595

X = (2.33 * 595) + 12425

X = 138111

Therefore, The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time

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By answering the presented question, we may conclude that As a result, trigonometry the distance between the top and bottom rungs of power lines is 64.8 feet.

Trigonometry is the field of mathematics that explores the connection between polygon side length and angle. The issue first originated in the Ancient world, during the third century BC, as a result of the use of geometrical in astronomical investigations. The subject of algebra known as exact techniques is concerned with certain trig functions and their possible applications in calculations. Trigonometry contains six commonly used trigonometric functions. Their separate identities and symbols are sine, cosine, inclination, cotangent, secant, & cosecant (csc). Basic arithmetic is the study of triangle characteristics, notably those of right triangles. As a result, geometry is the examination of the properties of all geometric forms.

The distance between the lower rung of power lines and the lineman will be denoted as "x," and the distance between the top rung of power lines and the lineman will be denoted as "y." The tangent function may be used to create two equations:

\(tan(25) = x/87\\tan(40) = y/87\\x = 87 tan(25)\\y = 87 tan(40)\\d^2 = y^2 - x^2\\d^2 = (87 tan(40))^2 - (87 tan(25))^2\\d = 64.8 feet\)

As a result, the distance between the top and bottom rungs of power lines is 64.8 feet.

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Answer:

15 - 3 x 5

cbhojwj fn h bf   be be gwtt sa ta ets e

Step-by-step explanation:15

Answer:

−1 < x + 3 < 5

-1-3<x<5-3

-4<x<2

The set of all points equidistant from the points A(-2, 4, 4) and B(5, 2, -3) forms a plane. This plane can be described by an equation that represents the locus of points equidistant from A and B.

To find the equation of the plane, we can first calculate the midpoint M between points A and B, which is given by the coordinates (x₀, y₀, z₀) of M, where x₀ = (x₁ + x₂)/2, y₀ = (y₁ + y₂)/2, and z₀ = (z₁ + z₂)/2.
Midpoint M:
x₀ = (-2 + 5)/2 = 3/2
y₀ = (4 + 2)/2 = 3
z₀ = (4 - 3)/2 = 1/2
Next, we calculate the direction vector D from A to B, which is obtained by subtracting the coordinates of A from those of B.
Direction vector D:
dx = 5 - (-2) = 7
dy = 2 - 4 = -2
dz = -3 - 4 = -7
Using the midpoint M and the direction vector D, we can write the equation of the plane as follows:
(x - x₀)/dx = (y - y₀)/dy = (z - z₀)dz
Substituting the values we calculated earlier, the equation becomes:
(x - 3/2)/7 = (y - 3)/(-2) = (z - 1/2)/(-7)
This equation represents the set of all points equidistant from points A(-2, 4, 4) and B(5, 2, -3), and it describes a plane in three-dimensional space.

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The probability that all four alarm systems will detect a theft when it occurs is the product of their individual probabilities, since each system operates independently of the others. Therefore, the probability is:

(.99)^4

This simplifies to:

0.96059601

Rounding to four decimal places, we get:

0.9606

So the answer is (a) (.99)^4, which is approximately 0.9606.

The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

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Answer:

1. 560+0.08x > 700$

2.1750$

3. Below

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

I can't explain lol its 15 tho

Answer:

$2.040

Step-by-step explanation:

Para calcular la cantidad que fue abonada en realidad, debes encontrar el valor del descuento calculando el 15% del valor total de la compra y este resultado se debe restar del total:

$2.400*15%= $360

$2.400-$360= $2.040

De acuerdo a esto, la cantidad abonada en realidad es: $2.040.

Answer:

you can solve the equations using the roots formula and then find the values from the range that they've given you

then you just have to plot the graph and connect the dots to make a line

Answer:

The volume of cube whose total surface area is 486 cm² is 729 cm³

Step-by-step explanation:

Answer:

la respuesta es nose

Answer:

2/27

Step-by-step explanation:

Step one:

given data

Sample space

2 red sections,

3 blue sections, and

4 green sections

Sample size

2+3+4= 9

Required

The probability of Basha spinning a red on her first spin and a blue on her second spin

Step two:

On the first spin, spinning a red= 2/9

On the second spini, spinning a blue= 3/9= 1/3

Hence, The probability of Basha spinning a red on her first spin and a blue on her second spin= 2/9*1/3= 2/27

Answer:

3 and 5

Step-by-step explanation:

order of operation

step 1

look at problem and see if there is a number that occurs like 2-3+x=4-3+x

step 2 your done

According to the information of the graph we can infer that Neighborhood A appears to have a bigger family size.

According to the information we can infer that the average family size in Neighborhoods are:

Additionally, the largest family size in Neighborhood A is 6, whereas the largest family size in Neighborhood B is 6 as well. These facts indicate that, on average, and in terms of the maximum family size, Neighborhood A has a larger family size compared to Neighborhood B.

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Answer:

The slope is 10/3

Step-by-step explanation:

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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Answer:

60km

Step-by-step explanation:

3/5 = 36km

1 = ?

36 × 5/3=60km

Step-by-step explanation:

Solve it by Unitary method

3/5=36

1=X

so,

3/5x=36×1

5X=36×3

X=108/5

21.6 km Answer

hope it helps

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

Answer:

only E and C

Step-by-step explanation:

Answer: C -1 + (-3) and E -1-3

The tuition at the local college in 2000, assuming it followed the same growth rate as after 2017, can be estimated to be approximately $4,018. The tuition in 2010, using the same growth rate, would be around $9,049.

To find the tuition in 2000, we need to calculate the value of f(x) when x represents the number of years since 2000. Since the given function models the cost of tuition x years since 2017, we need to determine how many years have passed between 2000 and 2017, which is 17 years. Plugging this value into the function, we get:

f(17) = 15(1.07)^17 ≈ $4,018

Therefore, the estimated tuition in 2000, assuming it followed the same growth rate as after 2017, would be approximately $4,018.

To determine the tuition in 2010, we need to calculate the value of f(x) when x represents the number of years since 2010. Since 2010 is 7 years before 2017, we have:

f(7) = 15(1.07)^7 ≈ $9,049

Hence, the estimated tuition in 2010, using the same growth rate, would be around $9,049. It is important to note that these calculations are based on the assumption that the tuition growth rate before 2017 was consistent with the growth rate after 2017 as provided by the function f(x).

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Step-by-step explanation:

1.

a perpendicular line on a chord of a circle going through the center of the circle splits the chord in half.

so, x is 2 times the missing leg of the right-angled triangle. and we are using Pythagoras :

c² = a² + b²

c being the Hypotenuse (the baseline opposite of the 90° angle).

so,

8² = 3² + (x/2)²

64 = 9 + x²/4

55 = x²/4

220 = x²

x = 14.83239697... ≈ 14.8

2.

I assume x is again the length of the whole chord (the diagram is not really clear in that regard).

the chord length using the distance from the center of the circle is

2 × sqrt(r² - d²)

r being the radius, d being the perpendicular distance from the center.

remember, the radius is half the diameter.

so, in our case

2 × sqrt ((12/2)² - 3²) = 2 × sqrt(36 - 9) = 2×sqrt(27) =

= 10.39230485... ≈ 10.4

3.

c is the supplementary angle to 76°, as the baseline of the abd triangle is the diameter of the circle, so c+76 are a half-circle.

c = 180 - 76 = 104°

the circle theorem says, the angle at the center is twice the angle at the circumference.

so,

a = 76/2 = 38°

similarly,

b = 104/2 = 52°

and

d = 180 - 38 - 52 = 90°

as it must be, as any inscribed triangle over the diameter of a circle must be right-angled.

4.

like in 3.

c = 150/2 = 75°

a + 90 + 150 = 360 (as together they are a full circle)

a = 360 - 90 - 150 = 120°

as a is the arc angle of the chord, it is also the inner angle at the center point of the triangle chord-center.

this triangle is an isoceles triangle (both invisible legs and therefore also both angles to the baseline are the same).

the sum of all angles in a triangle is 180°.

so, both leg angles of that triangle are

(180 - 120)/2 = 60/2 = 30°

b is the complementary angle to 30°, as this outside line is the tangent to the circle at the chord end (at a right angle to the triangle leg).

so,

b = 90 - 30 = 60°

5.

similar to 4.

x + 95 + 72 = 360

x = 360 - 95 - 72 = 193°

and for y let's consider the tangent secant angle theorem :

y = (arc angle of "outside" arc - arc angle of "inside"arc)/2

y = (193 - 72)/2 = 121/2 = 60.5°

Using trigonometry we obtain the bearing of the ship ≈ 41.8 degrees.

To obtain the bearing of the ship given the values of x and y, we can use trigonometry.

The bearing represents the angle in degrees measured clockwise from the north direction.

First, we need to determine the angle θ between the positive x-axis and the line connecting the origin (0,0) and the point (x, y).

We can use the inverse tangent function (arctan) to find this angle:

θ = arctan(y/x)

Substituting the values x = 9.4 and y = 10.1 into the equation:

θ = arctan(10.1/9.4)

Using a calculator, we find that θ is approximately 48.2 degrees.

However, this angle corresponds to the angle counterclockwise from the positive x-axis.

To convert it to the bearing (measured clockwise from the north direction), we subtract this angle from 90 degrees:

Bearing = 90 - θ = 90 - 48.2 = 41.8 degrees.

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Answer:

40

Step-by-step explanation:

We are asked to simply the following polynomial

Let us find the product of the above polynomial and simplify it

Therefore, the simplified polynomial is

The degree of a polynomial is the highest exponent (power)

For the given case, the highest exponent is 2

Therefore, the degree

Answer:

3.7 meters

Step-by-step explanation:

First, convert the fractions into decimals.

5 1/5 = 5.2

1 1/2 = 1.5

Then subtract them

5.2-1.5=3.7 meters!