For the function in the graph, find the values of f(-4), f(-1), and f(1).​

Answer:

pentagons

Step-by-step explanation:

In fact, there are pentagons which do not tessellate the plane. The house pentagon has two right angles. Because those two angles sum to 180° they can fit along a line, and the other three angles sum to 360° (= 540° - 180°) and fit around a vertex.

Answer:

The Regular Pentagon.

Explanation

I got a 100 % on the quiz

Answer:

[tex]\boxed {\boxed {\sf (1.5 , 2.5)}}[/tex]

Step-by-step explanation:

The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.

[tex](\frac {x_1+x_2}{2}, \frac {y_1+ y_2}{2})[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).

Substitute these values into the formula.

[tex]( \frac {5+ -2}{2}, \frac {4+1}{2})[/tex]

Solve the numerators.

[tex]( \frac {3}{2}, \frac{5}{2})[/tex]

Convert the fractions to decimals.

[tex](1.5, 2.5)[/tex]

The midpoint of the line segment is (1.5 , 2.5)

Answer:

one solution

Step-by-step explanation:

3 -2x=5-x+3+4x

Combine like terms

3-2x = 8+3x

Add 2x to each side

3-2x+2x = 8+3x+2x

3 = 8+5x

Subtract 8 from each side

3-8 =8+5x-8

-5 =5x

Divide by 5

-5/5 = 5x/5

-1 =x

There is one solution

Answer:

(c) (f-g ) (x) = 6x*3 -2x*2 +4x -8

Step-by-step explanation:

[tex](4x^2-x+6)-(3x^2+5x-8)=4x^2-x+6-3x^2-5x+8[/tex]

By simplifying the right side of the equation, we come up with

[tex]x^2+6x-14[/tex], or D

Answer:

(2,0)

Step-by-step explanation:

the x intercept is when 'y' is equal to 0 :

0 = 3x - 6

6 = 3x

x = 2

Answer:

(2,0)

Step-by-step explanation:

y = 3x-6

The x intercept is found by setting y = 0 and solving for x

0 = 3x-6

Add 6 to each side

6 = 3x-6+6

6 =3x

Divide each side by 3

6/3 = 3x/3

2 =x

The x intercept is

(2,0)

Answer: 6669

Step-by-step explanation:

I hope I did this right... anyways,

t, is represented by years, which is given to us by 2 years and 9 months. Assuming you would put 2.9 for t.

Additionally, as you can't have a decimal for a person, and they've asked for it to be rounded to the nearest whole number, there would be 6669 people in 2 years and 9 months.

The formula used is:

[tex]7285(0.97)^2^.^9[/tex]

Step-by-step explanation:

the number formed by subtracting 1 from the smallest 7 digit number is largest 6 digit number.

Answer:

9

Step-by-step explanation:

90+81+mising angle=180, missing angle is 9

Answer:

g(x)

because it is a quadratic equation it is mirrored the other one isn’t even a function

The true statement is The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The function g has the axis of symmetry as x = 2, since the values of the function below and above x = 2 changes in the same way.

The function f is a parabola.

The axis of symmetry is also x = 2, since the graph is the same before and after the line x = 2.

So the both the functions have same axis of symmetry.

Maximum value of the function f = 4 at x = 2. Since no other values of f is greater than 4.

At x = 2, the value of g = 3

Maximum value of g = 3

So, maximum value of f is greater than the maximum value of g.

Hence the correct option is B.

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Your question is incomplete. The complete question is as given below.

The graph shows the quadratic function f and the table shows the quadratic function g.

x   : -2     -1      0      1      2      3      4

g(x) -1   0.75    2   2.75   3    2.75   2

Which statement is true?

The functions f and g have the same axis of symmetry, and the maximum value of f is less than the maximum value of g.

The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.

The functions f and g have different axes of symmetry and different maximum values.

The functions f and g have the same axis of symmetry and the same maximum values.

Answer:

C.    AA

Step-by-step explanation:

Since m<Y = 27°, then m<W = 27°.

We have two angles of one triangle (A and B) congruent to two angles of the other triangle (W and X).

Answer: C.   AA

Answer:

[tex]g(-1) = -1[/tex]

[tex]g(0.75) = 0[/tex]

[tex]g(1)= 1[/tex]

Step-by-step explanation:

Given

See attachment

Solving (a): g(-1)

We make use of:

[tex]g(x) = -1[/tex]

Because: [tex]-1 \le x < 0[/tex] is true for x =-1

Hence:

[tex]g(-1) = -1[/tex]

Solving (b): g(0.75)

We make use of:

[tex]g(x) = 0[/tex]

Because: [tex]0 \le x < 1[/tex] is true for x =0.75

Hence:

[tex]g(0.75) = 0[/tex]

Solving (b): g(1)

We make use of:

[tex]g(x) = 1[/tex]

Because: [tex]1 \le x < 2[/tex] is true for x =1

Hence:

[tex]g(1)= 1[/tex]

Answer:

A.*-3 and 2x2 + 4x2 - 4x+

Step-by-step explanation:

A.*-3 and 2x2 + 4x2 - 4x+

A.*-3 and 2x2 + 4x2 - 4x+

A.*-3 and 2x2 + 4x2 - 4x+

A.*-3 and 2x2 + 4x2 - 4x+

A.*-3 and 2x2 + 4x2 - 4x+

A.*-3 and 2x2 + 4x2 - 4x+

A.*-3 and 2x2 + 4x2 - 4x+

A.*-3 and 2x2 + 4x2 - 4x+

Answer:

x = 38.4

Step-by-step explanation:

tan(38) = 30/x

x = 30/tan(38)

x = 38.4

Answered by GAUTHMATH

The area of the larger circle is 81π square units.

Congruent circles are circles that are similar in pattern.

The formula for calculating the area of a circle is expressed as:

[tex]A = \dfrac{\pi d^2}{4}[/tex]

Given that the area of each of the small circles is 9π, then:

[tex]9 \pi =\frac{\pi d^2}{4}\\9 = \frac{d^2}{4}\\d^2=9*4\\d^2=36\\d=\sqrt{36}\\d=6units[/tex]

This shows that the diameter of one of the small circles is 6units.

Since the diameter of the three circles will be equivalent to the diameter of the larger circle, hence;

Diameter of the larger circle = 3(6) = 18units

Get the area of the larger circle:

[tex]A=\frac{\pi D^2}{4}\\A=\frac{\pi \times 18^2}{4}\\A =\frac{324\pi}{4}\\A= 81\pi[/tex]

Hence the area of the larger circle is 81π square units.

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Answer:

The inequality shown in the graphic is [tex]y > 4x + 1[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line is given by:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of y when x = 0).

Inequality:

Values greater than the dashed line, dashed so the line is not part of the inequality, thus, the inequality is:

[tex]y > mx + b[/tex]

Dashed line:

The dashed line goes through (0,1) and (1,5).

Point (0,1) means that when [tex]x = 0, y = 1[/tex], so [tex]b = 1[/tex], and:

[tex]y > mx + 1[/tex]

Finding the slope:

When we have two points, the slope is given by the change in y divided by the change in x. In this question, we have point (0,1) and (1,5), so:

Change in y: 5 - 1 = 4

Change in x: 1 - 0 = 1

Slope: [tex]m = \frac{4}{1} = 4[/tex]

What inequality is shown in the graph?

[tex]y > 4x + 1[/tex]

Answer:

26 + 3 x 42 + 7 x -2 = 138

Step-by-step explanation:

Ok bud, first step we must convert our symbols (Makes it easier to solve)

26 + 3 x 42 + 7 x -2

* subsitutes for multiplication.

I recommend using PEMDAS at times:

1 - Parentheses

2 - Exponents and Roots

3 - Multiplication

4 - Division

5 - Addition

6 - Subtraction

Yet again your numbers were spaced out could they be exponents? if so:

3x^{42}+7x+24

Our answer would round to 24 but he equation was not put in a valid or straight forward way.

Using the shell method, the volume integral would be

[tex]\displaystyle 2\pi \int_0^2 x(256-x^8)\,\mathrm dx[/tex]

That is, each shell has a radius of x (the distance from a given x in the interval [0, 2] to the axis of revolution, x = 0) and a height equal to the difference between the boundary curves y = x ⁸ and y = 256. Each shell contributes an infinitesimal volume of 2π (radius) (height) (thickness), so the total volume of the overall solid would be obtained by integrating over [0, 2].

The volume itself would be

[tex]\displaystyle 2\pi \int_0^2 x(256-x^8)\,\mathrm dx = 2\pi \left(128x^2-\frac1{10}x^{10}\right)\bigg|_{x=0}^{x=2} = \boxed{\frac{4096\pi}5}[/tex]

Using the disk method, the integral for volume would be

[tex]\displaystyle \pi \int_0^{256} \left(\sqrt[8]{y}\right)^2\,\mathrm dy = \pi \int_0^{256} \sqrt[4]{y}\,\mathrm dy[/tex]

where each disk would have a radius of x = ⁸√y (which comes from solving y = x ⁸ for x) and an infinitesimal height, such that each disk contributes an infinitesimal volume of π (radius)² (height). You would end up with the same volume, 4096π/5.

The volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis is 4096π/5 cubic units.

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have a function:

[tex]\rm y = x^8[/tex]   or

[tex]x = \sqrt[8]{y}[/tex]

And  y = 256

By using the vertical axis of rotation method to evaluate the volume of the solid formed by revolving the region bounded by the curves.

[tex]\rm V = \pi \int\limits^a_b {x^2} \, dy[/tex]

Here a = 256, b = 0, and [tex]x = \sqrt[8]{y}[/tex]

[tex]\rm V = \pi \int\limits^{256}_0 {(\sqrt[8]{y}^2) } \, dy[/tex]

After solving definite integration, we will get:

[tex]\rm V = \pi(\frac{4096}{5} )[/tex]  or

[tex]\rm V =\frac{4096}{5}\pi[/tex] cubic unit

Thus, the volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis is 4096π/5 cubic units.

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Answer:

(-5, 0) and (5, 0)

Step-by-step explanation:

This equation fits the form for a hyperbola with x-intercepts.  The standard form for such an equation is

[tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1[/tex]

To get the equation in the question into this standard form, divide each term by 400.

[tex]\frac{16x^2}{400}-\frac{25y^2}{400}=\frac{400}{400}\\\frac{x^2}{25}-\frac{y^2}{16}=1[/tex]

To find the x-intercepts, make y = 0.

[tex]\frac{x^2}{25}=1\\x^2=25\\x=\pm 5[/tex]

The vertices are located at the points (-5, 0) and (5, 0).

Note: There are no y-intercepts; making x = 0 produces no real solutions for y.

Answer:

√65

Step-by-step explanation:

you have to use the pythagoras theorem to find x which is the hypotenuse

x²=7²+4²

x²=49+16

√x²=√65

x=√65

I hope this helps

The best option for Kelsie to create a SMART goal is b) "I will get to work before 9 A.M. every day this month."

Option B captures the essence of a smart goal.  A smart goal has the following characteristics: specific, measurable, achievable or attainable, realistic or relevant, and time-bound.

1. Specific: A smart goal like option B is well-defined, clear, and unambiguous.

2. Measurable: A smart goal sets specific criteria that measure Kelsie's progress toward the accomplishment of her goal.  For example, any day that she does not get to work before 9 a.m. she knows that she does not achieve her work arrival goal for that day.

3. Achievable: Kelsie's goal becomes attainable and possible to achieve because there is a set time for her to arrive at her work.

4. Realistic: Kelsie's goal, which she set for this month, is within her reach.  It is realistic, and relevant to her purpose.

5. Time-bound:  Kelsie has set a clearly defined timeline, which creates the needed urgency for her to realize it.  It includes a starting date and a target date, which will encourage her to realize it.

Thus, option B is the correct option that meets the criteria of a SMART goal unlike options A, C, and D, which are ambiguous, unrealistic, and not time-bound.

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Answer:

The other two sides are 7 units each.

Step-by-step explanation:

The triangle is isosceles.

The sides are in the ratio of

[tex]x : x : x \sqrt{2}[/tex]

The hypotenuse is

[tex]7\sqrt{2}=x \sqrt{2}\\\\x = 7[/tex]

So, the other two sides are 7 units each.

Answer:

The proportion of bottles that will have more than 30 ounces dispensed into them is 0.9772 = 97.72%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The amount dispensed has been observed to be approximately normally distributed with mean 32 ounces and standard deviation 1 ounce.

This means that [tex]\mu = 32, \sigma = 1[/tex]

Determine the proportion of bottles that will have more than 30 ounces dispensed into them.

This is 1 subtracted by the p-value of Z when X = 30, so:

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

[tex]Z = \frac{30 - 32}{1}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

1 - 0.0228 = 0.9772

The proportion of bottles that will have more than 30 ounces dispensed into them is 0.9772 = 97.72%.

Answer:

y = -1x + 2

Step-by-step explanation:

Answer:

The correct answer is - C. 24.1%

Step-by-step explanation:

Given:

mean μ = 65%

standard deviation δ = 7.1 %

solution:

Prob( X>70) = 1 - Prob(x<70)  

= P (x-μ/δ ≥ 70 -65/7.1)

= 1 - Prob( (70-65)/7.1)

= 1 - Prob ( z < 0.7042553)

= 0.24065

the percentage of students scoring 70 or more in the exam

= 24.065*100

= 24.1%

Answer:

A. 50º

Step-by-step explanation:

we are given the exterior angles 140º and 90º

exterior angles + corresponding interior angles = 180º

that means the two other angles of the triangle are:

180 - 140 = 40º

and

180 - 90 = 90º

the sum of interior angles in a triangle = 180

p = 180 - (40 + 90)

p = 180 - 130

p = 50º

Answer:

Test Statistic = 10

Critical Value = 9.488

Step-by-step explanation:

Given :

Grade A _ B _ C _ D _ F

_____14 _ 18 _32_ 20_16

H0 : distribution of grade is uniform

H1 : Distribution of grade is not uniform

Using the Chisquare statistic :

χ² = (observed - Expected)² / Expected

The expected value :

(14+18+32+20+16) / 5 = 20

χ² = (14-20)^2 / 20 + (18-20)^2 / 20 + (32-20)^2 / 20 + (20-20)^2 / 20 + (16-20)^2 / 20

χ² statistic = 10

The χ² critical at df = (n - 1) = 5 - 1 = 4

χ² Critical(10, 4) = 9.488

Answer:

the first option because I took the test