The polynomial function f(x)=-x^3+x^2+14x-24 has zeros at x=-4, x=3, and x=2. Which of the following graphs represents the function?

Step-by-step explanation:

For a parabola y = ax² + bx + c, the vertex occurs at x = -b / (2a).

For f(x), a = -2, b = 0, and c = 9.  So the vertex is at:

x = -0 / (2×-2)

x = 0

At x=0:

f(0) = -2(0)² + 9

f(0) = 9

The maximum of g(x) is at 11.

So g(x) has a greater maximum value than f(x).

Answer:

C) 1/4,3/8,2/5

Step-by-step explanation:

First of all, let's rewrite all the fractions listed as decimal numbers:

[tex]\frac{2}{5}=0.400[/tex]

[tex]\frac{1}{4}=0.250[/tex]

[tex]\frac{3}{8}=0.375[/tex]

So the correct order from least to greatest should be

0.250, 0.375, 0.400

Which corresponds in fractional form to

1/4, 3/8, 2/5

So the correct option is

C) 1/4,3/8,2/5

The correct set of fractions ordered from least to greatest is C) 1/4, 3/8, 2/5.

To determine the set of fractions ordered from least to greatest, we need to compare them by finding a common denominator or converting them to decimals.

Let's convert the fractions to decimals:

Next, we order the decimals from smallest to largest:

Therefore, the correct order from least to greatest is: C) 1/4, 3/8, 2/5.

Answer:

(B) The employee subtracted the wrong percent's.

Answer:

b she substracted wrong

Step-by-step explanation:

Check the picture below.

5+4+10+9+14 = 42.

Answer:

2.07%

Step-by-step explanation:

92 out of a total of 3,204 graduates earned a professional degree.  That works out to 0.0207, or 2.07%.

B) 2.87% of students earned a professional degree in 2009, calculated by dividing the number of professional degree holders by the total number of students.

To find the percentage of students earning a professional degree, divide the number of students with a professional degree (92) by the total number of students (3,204) and multiply by 100:

[tex]\[ \frac{92}{3,204} \times 100 \approx 2.87\% \][/tex]

Therefore, the correct answer is B) 2.87%.

Answer:

B

Step-by-step explanation:

B is correct.  That "-7" will shift the graph of F(x) down by 7 units.

Answer:

B

Step-by-step explanation:

Given

y = f(x), then f(x) + c represents a vertical translation parallel to the y- axis.

• If c > 0 then translation up of + c units

• If c < 0 then translation down of - c units

Hence

g(x) = f(x) - 7

then g(x) is the graph of f(x) shifted 7 units down → B

Answer:

There is no solution for this equation. :)

Please mark as brainliest!! :)

Answer:

9x^(3/2)=9 √(x^3 )  

Step-by-step explanation:

We are given

9x^(3/2)

We have to write the expression in radical form, for that the power has to be a multiple of ½

=9x^(3*1/2)

As we can see now the power is a multiple of 1/2. ½ will convert to square root while 3 will become the power of radicand.

So, 9 will remain outside of the square root while x will be inside the square root while having power 3.

=9 √(x^3 )

Hence,

9x^(3/2)=9 √(x^3 )  

Answer:

b. you're welcome

Step-by-step explanation:

Answer:

Hi, this question is a little unclear.  If you want to know what percentage he saved, it would be 30%, and to convert that percentage into a decimal would be a decimal of 0.30

Answer:

$70.00

Step-by-step explanation:

Add .00 to the end of each amount.

Make sure that the decimal points are lined up like a straight line.

Subtract 100.00 - 30.00

You should receive 70.00 and don't forget the dollar sign at the end so the answer is $70.00.

Answer:

this is the Answer

Answer:

9:00 P.M.

Step-by-step explanation:

All 3 bells ring at 9AM

1st bell: every 2 hours:

9AM, 11AM, 1PM, 3PM, 5PM, 7PM, 9PM

2nd bell: very 3 hours:

9AM, 12AM, 3PM, 6PM, 9PM

3rd bell: every 4 hours:

9AM, 1PM, 5PM,  9PM

So All 3 bells will ring at 9PM again

Answer:

the answer is that they will all ring at 9:00 pm

Step-by-step explanation:

9am=2, 3, 4

10am=0

11am= 2

12pm=3

1pm=2, 4

2pm= 0

3pm=3, 2

4pm= 0

5pm= 2, 4

6pm= 3

7pm=2

8pm= 0

9pm=2, 3, 4

Answer:

2 eggs and 6 ounces of flour.

Step-by-step explanation:

To calculate this, we have to find 1/3 of 6 eggs and 18 ounces of flour separately.

So to calculate 1/3 of 6 eggs, multiply 6 by 1/3, which is to say divide 6 by(reciprocal) .Then you get 2 eggs.

Then similarly to calculate 1/3 of 18 ounces of flour, multiply 18 by 1/3, or divide it by 3. Then you get 6 ounces of flour.

So your answer is 2 eggs and 6 ounces of flour.

:)

Answer:

Step-by-step explanation:

Lateral Area:

We have five congruent triangles with base = 7in and height h = 9in.

The formula of an area of a triangle:

[tex]A_triangle=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_\triangle=\dfrac{(7)(9)}{2}=\dfrac{63}{2}=31.5\ in^2[/tex]

The Lateral Area:

[tex]L.A.=5A_\triangle\to L.A.=5\cdot31.5=157.5\ in^2[/tex]

Surface Area:

S.A. = L.A. + B

L.A. - lateral area

B - area of a base

The base is the regular pentagon. The formula of an area:

[tex]B=\dfrac{a^2}{4}\sqrt{25+10\sqrt5}\approx1.72048a^2[/tex]

Substitute a = 7in:

[tex]B\approx1.72048(7^2)=84.303552\ in^2\approx84.3\ in^2[/tex]

The Surface Area:

[tex]S.A.=157.5+84.3=241.8\ in^2[/tex]

Answer:

Step-by-step explanation:Knowing that

There are 26 black cards and 26 red ones. Face card consists of jack (J), queen (Q), king (K). There are (26-6)=20 non face red cards. “Either ... or ...” here means bundle of both kinds of cards.

So, there are (26+20)=46 expected cards.

If you also ask for the probability, so the probability of the question asking above is equal to

23/26

If we want to share the money in equal parts, we have to consider that Eli has 9 shares, Freda has 13 shares and Geoff has 18 shares. So, in total, we have to split the money in

[tex]9+13+18 = 40[/tex]

parts. So, each part is

[tex]\dfrac{800}{40} = \dfrac{80}{4} = 20[/tex]£

Now, we distribute the shares:

Answer:

Eli gets £180

Freda gets £260

Geoff gets £360

Step-by-step explanation:

First, you need to make a ratio comparing their ages.

9 : 13 : 18 which is Eli : Freda : Geoff

Next, you need to work out the sum their ages (9+13+18) which is 40.

Then you divide the £800 (the amount that is being shared) by the sum of their ages 800÷40 which gives £20.And finally you need to multiply 20 by each section of the ratio.

So, 9×20 : 13×20 : 18 ×20 but then you need to simplify to get 180: 260 : 360.

Sorry if this explanation is confusing.

Answer:

0.61

Step-by-step explanation:

The average rate of change of H(s) in the closed interval [ a, b ] is

[tex]\frac{H(b)-H(a)}{b-a}[/tex]

here [ a, b ] = [ 80, 100 ]

H(b) = H(100)

= 0.003 × 100² + 0.07 × 100 - 0.027

= 30 + 7 - 0.027 = 36.973

H(a) = H(80)

= 0.003 × 80² + 0.07 × 80 - 0.027

= 19.2 + 5.6 - 0.027 = 24.773

Hence

average rate of change = [tex]\frac{36.973-24.773}{100-80}[/tex] = [tex]\frac{12.2}{20}[/tex] = 0.61

Answer:

Given a=33 and c=44,

b = 29.10326 = 11√7

Step-by-step explanation:

The following is one way to perform the calculation. It may not be the best way.

b =√c2 - a2

=√442 - 332

=√847

=29.10326 = 11√7

∠α =arcsin(a/c)

=arcsin(33/44)

=arcsin(0.75)

=0.84806 rad = 48.59° = 48°35'25"

∠β =arcsin(b/c )

c

=arcsin(29.10326442171/44)

arcsin(0.66143782776615)

=0.72273 rad = 41.41° = 41°24'35"

h =a×b/c

=33 × 29.10326442171/44

=21.82745

area =a×b/2

=33 × 29.10326442171/2

=480.20386=363√7/2

perimeter =a+b+c

=33 + 29.10326442171 + 44

=106.10326

inradius =a×b/a+b+c

=960.40772591645/106.10326442171

=9.05163

circumradius =c/2

=44/2

=22

The area of the square on the third side of the triangle is 11  [tex]units^{2}[/tex]

How to find the area of the square?

Area of square A = [tex]a^{2}[/tex] = 33 [tex]units^{2}[/tex]

Side of square A = a = [tex]\sqrt{33}[/tex] units

Area of square B = [tex]b^{2}[/tex] = 44 [tex]units^{2}[/tex]

Side of square B = b = [tex]2\sqrt{11}[/tex] units

Side of square C = c = [tex]\sqrt{b^{2} - a^{2} } }[/tex]

=[tex]\sqrt{44 - 33}[/tex]

=[tex]\sqrt{11}[/tex] units

Area of square C = [tex]c^{2}[/tex]

= [tex](\sqrt{11}) ^{2}[/tex]

= 11 [tex]units^{2}[/tex]

To learn more about triangles, refer:

https://brainly.com/question/12111621

#SPJ2

Answer:

Option D. [tex]150\°[/tex]

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

[tex]m\angle ABC=\frac{1}{2}[arc\ ADC-arc\ AC][/tex]

substitute the given values

[tex]30\°=\frac{1}{2}[210\°-arc\ AC][/tex]

[tex]60\°=[210\°-arc\ AC][/tex]

[tex]arc\ AC=210\°-60\°=150\°[/tex]

Answer:

Option (D) is correct.

Step-by-step explanation:

OA is perpendicular to AB

OC is perpendicular to BC

Radius from the center is perpendicular to the tangent.

In quadrilateral ABCO,

∠ABC+∠BCO+∠AOC+∠OAB=360°

30°+90°+∠AOC+90°=360°

∠AOC+210°=360°

∠AOC=360°-210°

∠AOC=150°

Hence, arc AC=150°

Thus, the correct answer is option (D)

Final answer:

You can use a number line to find the sum of -8.3 + 10.5 by marking both numbers on the line, moving left to the negative value, and then moving right by the positive value to find the sum.

Explanation:

To find the sum of -8.3 and 10.5 using a number line, you start by drawing a horizontal line and marking the positions of -8.3 and +10.5 on it. You then move from 0 to -8.3 as this is a negative number. To add 10.5, you move 10.5 units to the right. Because 10.5 is greater than 8.3, your final position will be to the right of zero which makes the sum positive.

Let's break down the steps:

Draw a number line with enough space to mark both -8.3 and +10.5.

Mark the point -8.3 on the left side of zero since it's a negative number.

From -8.3, move 10.5 units to the right because you are adding a positive number.

The point you land on is the sum of -8.3 + 10.5.

If you need to subtract numbers, change the sign of the number being subtracted and then add according to the rules of addition. For instance, to subtract 3 from 5, you would change 3 to -3 and then add: 5 + (-3) = 2.

Answer:

(-2, -3)

Step-by-step explanation:

2x + 1 = 3x + 3

minus 3 from both sides

2x - 2  = 3x

minus 2x from both sides

-2 = x

then plug in -2 for x

y = 2(-2) + 1

y = -4 + 1

y = -3

(-2, -3).

Answer:

Step-by-step explanation:

To find this product, multiply each of the 6 numbers in the given matrix by 6.  The third possible answer choice is the correct one.

Answer:

4x-8+4y

Step-by-step explanation:

Answer:

the answer is the letter Y

Step-by-step explanation:

Answer:

letter y is the answer

Step-by-step explanation:

Answer:

3u+15

Step-by-step explanation:

6u-3u

4+11

3u+15

Answer:

3u+15

Step-by-step explanation:

6u-3u +4+11

3u + 15

Answer:

No there cannot be the same number of stickers on each page.

Step-by-step explanation:

If you want to find out how many stickers need to be in every page to be even you would add all the stickers up. 6+6+9+10+11= 42. Take the 42 and divide it by 5 to see how many stickers would go in each page. This will give you 8.4. However since this number is a decimal it can't be split evenly in whole stickers for each page. Meaning that it wouldn't be possible for each page to have a evenly distributed number of stickers per each page.

Answer:

fish 1 dollar

castle 6 dollars

Step-by-step explanation:

4x + y = 10

4x + 2y = 16

Multiply the first equation by -1

- 4x - y = -10

4x + 2y = 16

------------------------

0x  +y   = 6

y = 6

This means the castle costs 6 dollars

Substitute this into the first equation

4x+y =10

4x+6=10

Subtract 6 from each side

4x+6-6=10-6

4x=4

Divide by 4

4x/4=4/4

x=1

This means each fish costs 1 dollar

So x=1 the answer is 1

First Option

Triangles are are similar if we can turn one into the other by moving, rotating, flipping, or scaling. To solve this problem, we just need to match the ratios of the triangles. For both triangles we need to take the Change in y over the change in x, so:

[tex]\frac{change \ in \ y}{Change \ in \x}=\frac{y-b}{x-0}=\frac{m+b-b}{1-0} \\ \\ y-b=mx \\ \\ \boxed{y=mx+b}[/tex]

As you can see, this is the Slope-Intercept form of the equation of a line, where:

[tex]m: \ slope \\ \\ b: \ y-intercept[/tex]

Answer:

The first option would be the answer i believe

Step-by-step explanation:

Step-by-step explanation:

Because the length of ST is calculated using pythagorean theorem:

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:

[tex]x = |sx - tx| \\ y = |sy - ty| [/tex]

Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.

Using that formula, you get that y = 17 and x = 8.

Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:

[tex] {c}^{2} = {x}^{2} + {y}^{2} \\ {c}^{2} = {8}^{2} + {17}^{2} = 64 + 289 \\ {c}^{2} = 353 \\ c = \sqrt{353} [/tex]

And finally, the correct answer is in fact 353.

The answer is 27 i think..

This triangle is a right triangle.

We know that the sum of the angles is 180°.

So:

90° + (x+23)°+ (x+13)° = 180°

90 + (x+23) + (x+13) = 180

(x+23)+(x+13) = 180-90

(2x+36) = 90

(2x) = 90-36

(2x) = 54

x = (54/2)

x = 27

=> x = 27

Answer:

Option B. 5P5 × 20P15

Step-by-step explanation:

It is very important to remember that the second grade students are sitting in the front row, therefore, it is only necessary to organize 15 first grade students in 20 seats.

Permutations allow you to calculate the number of ways in which m objects can be arranged in n positions.

The permutation of m in n is written as:

nPm

Where n is the number of elements and m are chosen.

The way in which the 5 second grade students can be organized in the 5 seats is from the first row is:

5P5

Then, the number of ways in which 15 first-year students can be organized into 20 seats is:

20P15

Then, the number of ways to organize all students on the bus is the product of both permutations

5P5 * 20P15