Which of the following quadratics will have a maximum value at x = 3?
(1) y = x² - 6x +19
(3) y=-2x² + 20x - 49
(2) y=-4x² +24x-21
(4) y = 2x² – 3x+7

Answer:

12cm²

Step-by-step explanation:

Area of triangle =1/2×h×b

1/2×4×6

2×6

12cm²

hope dis helps!!!!!

Step-by-step explanation:

The sum of co-interior angle = 180°

Now,

2x + 7x = 180°

9x = 180°

x = 180° ÷ 9

x = 20°

Answer:

x = 20

Step-by-step explanation:

Co-interior angles (also called same-side interior angles) are two angles that are on the same side of the transversal and on the interior of (between) the two parallel lines.

Same-side interior angles theorem:  If two parallel lines are cut by a transversal, then the same side interior angles are supplementary (add up to 180º).

Therefore, if 2x and 7x are co-interior:

⇒ 2x + 7x = 180

⇒ 9x = 180

⇒ x = 20

Answer:

1/4

Step-by-step explanation:

from 8 to 27, there are 5 number that are divisible by 6 or 7.

=>       12,14,18,21,24

=>       number of favourable outcomes = 5

=>       numer of possible outcomes = 20

probability = no. of favourable outcomes/ no. of possible outcomes

=>       probability = 5/20

=>       5/20 = 1/4

Answer:

is in the shape of a sphere

diameter = 60 feet

radius = r = 60/2 = 30 feet

Step-by-step explanation:

volume of sphere = 4/3 × π × r³

= 4/3 × π × 30³

=4/3π × 27,000

= 36000π cubic feet

Answer:

36000π cubic feet

Step-by-step explanation:

Given :

Solving :

Answer:

$96.25

Step-by-step explanation:

In the morning, this worker was in for a total of 4 hours. Since the wage is $11/hr, we have to multiply 4 by 11.

11 * 4 = 44

In the afternoon, they worked for 4 hours and 45 minutes. Now, we have to multiply 4 3/4 (which is the fraction form of 4 hours and 45 mins) by 11.

11 * 4 3/4 = 52.25

Now, to find the total pay, we add together both the morning and afternoon pays.

44 + 52.25 = 96.25

Therefore, the total pay is $96.25

I hope this helps!! Have a lovely day!! :)

Answer:

$96.25

Step-by-step explanation:

Hours worked in the morning = 12:00 - 8:00

                                                  = 4 hours

Hours worked in the afternoon = 17:30 - 12:45

                                                    = 4 hours 45 minutes

Total hours worked = 4:00 + 4:45

                                = 8 hours 45 minutes

                                 [tex]=8\dfrac{45}{60} \ hours\\\\= 8\dfrac{3}{4}\\\\\\= \dfrac{35}{4} hours[/tex]

Wage = [tex]\dfrac{35}{4}*11[/tex]

         = $96.25

Answer:

The graph that is correct is just like the top one that shows on the picture you shared, but instead of being on positive 4 it is on -4

Step-by-step explanation:

Answer:

A represents -2.5.......

Answer:

-2.5

Step-by-step explanation:

<------3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3 ---->

When it's negative on the number line the value of a number gets smaller. When it's positive the value gets bigger.

I hope this helps!

Answer:

S₄₀ = 2780

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

14 - 11 = 17 - 14 = 3

this indicates the sequence is arithmetic with sum to n terms

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 11 and d = 3 , then

S₄₀ = [tex]\frac{40}{2}[/tex] [ (2 × 11) + (39 × 3) ]

      = 20( 22 + 117)

      = 20 × 139

      = 2780

Answer:

a. 0

Step-by-step explanation:

Which values from the set {0, 12, 2.5, 4} make the inequality 8g < 4 true?

Our inequality:

8g < 4

Substitute each values from the set {0, 12, 2.5, 4} for g, to find which value makes the inequality true.

For 0:

8g < 4

8(0) < 4

0 < 4

This statemen is true, because 0 is less than 4

For 12:

8g < 4

8(12) < 4

96 < 4

This statemen is false, because 96 is NOT less than 4

For 2.5:

8g < 4

8(2.5) < 4

20 < 4

This statemen is false, because 20 is NOT less than 4

For 4:

8g < 4

8(4) < 4

32 < 4

This statemen is false, because 32 is NOT less than 4

Hope this helps!

Answer:

4.5 inches

Step-by-step explanation:

1/15 of 67.5

This is if you are looking for the proportional height. That's all I can solve with given this info.

Answer:

I'm 100% sure the answer is 4.24

Step-by-step explanation:

please mark as BRAINLIEST

The statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.

A symmetric distribution oftenly refers to the distribution which looks symmetric about a fixed line.

For this case, the missing image is attached below.

The stem leaf plot represents the considered bar plot.

But stem leaf plot seems symmetric whereas the box plot isn't.

This is because the stem and leaf plot is missing '5' in its stem, making the interval inconsistent.

Doing inconsistant graphing isn't allowed as that represents distorted data, as for this case, the data seems symmetric when it isn't.

Thus, the statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.

Learn more about box plot here:

https://brainly.com/question/1523909

Answer:c edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

The terms x and y must be substituted to isolate one side of the equation.

First, you have to substitute by the y=5/6x+10.

[tex]\sf{-x+6\left(\dfrac{5}{6}x+10\right)=-12}[/tex]

Solve.

[tex]\sf{4x+60=-12}[/tex]

Subtract by 60 from both sides.

4x+60-60=-12-60

Solve.

4x=-72

Divide by 4 from both sides.

4x/4=-72/4

Solve.

Divide the numbers from left to right.

-72/4=-18

x=-18

Substitute: x=-18

[tex]\sf{y=\dfrac{5}{6}\left(-18\right)+10}[/tex]

Solve.

y=5/6(-18)+10=-5

y=-5

I hope this helps you! Let me know if my answer is wrong or not.

The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C)

First, we need to determine the expression of [tex]\overrightarrow {RS}[/tex] by vector sum:

[tex]\overrightarrow{RS} = S(x,y) - R(x,y)[/tex]

[tex]\overrightarrow{RS} = (-2, 1) - (4, -6)[/tex]

[tex]\overrightarrow {RS} = (-6, 7)[/tex]

The magnitude and the direction of the vector are determined by Pythagorean theorem and inverse trigonometric functions, respectively:

[tex]\|\overrightarrow{RS}\| = \sqrt{(-6)^{2}+7^{2}}[/tex]

[tex]\|\overrightarrow{RS} \| = \sqrt{85}[/tex]

θ = tan⁻¹ (7/-6)

θ ≈ 130.601°

The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C) [tex]\blacksquare[/tex]

To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477

Answer:

165

Step-by-step explanation:

First, we multiply 50 and 2 to find out how much they traveled first, which is 100. And then, multiply 65 and 1 to get 65 for the second part. Add then, to get 165. Hope this helps!

Answer:

The answer is 165 miles.

This is how I solved it:

First I made a chart like the one in the picture

Then I inserted the Rate for each part of the trip. The rate for Part One is 50 miles per hour, and the rate for Part Two is 65 miles per hour.

Next, I would insert the Time for each part of the trip. The time for Part One is 2 hours, and the time for Part Two is 1 hour.

Because we now have the values for r and t for each part of the trip, we need to calculate the distance for each part by using the distance formula, d=r x t, and multiplying the rate and the time.

For Part One, multiply 50 miles per hour x 2 hours; this equals 100 miles. For Part Two, multiply 65 miles per hour times 1 hour; this equals 65 miles.

So, Tom traveled 165 miles to the museum.

Hope this isn't confusing XD

FYI the attachment is just an example from another question so the answers are not the same

[tex]4x + x = 180[/tex]

[tex]5x = 180[/tex]

[tex]x = \frac{180}{5} = 36[/tex]

Answer:

36

Step-by-step explanation:

This is a Linear Pair. Adjacent (next to) angles that form a straight line. A good rule of thumb for 90% of Geometry, angle relationships are usually either supplementary or congruent. In this case, since they together form a straight line, they are supplementary.

x + 4x = 180

5x = 180

180/5 = 36

If you plug these numbers in, you have a 36 degree angle and a 144 degree angle (sum of 180). Easy way to check your work if ever unsure.

Answer:

The U.S. won 101 medals.

Step-by-step explanation:

101

Hope it helped and have a great day!

Answer:

See below.

Step-by-step explanation:

Vertical angles can be found by adding the two degrees, and if they equal 180, they are vertical.

94 and 86

119 and 61

-hope it helps

Answer:

10 feet

Step-by-step explanation:

We are trying to find Madison's height plus Jade's height...

Turn the fractions into improper fractions

So,

5 1/6 = 31/6

4 5/6 = 29/6

31/6 + 29/6 = 10 feet

or

5+4= 10 and 1/6+5/6 = 1

so the answer is 10 feet

PLEASE RATE!! I hope this helps!!!

If you have any questions comment below

Answer: 2 units.

Step-by-step explanation: When you graph the points given, it gives you this shape in the image below.  The hypotenuse (longest side of triangle) is found by doing the following:

a^2 + b^2 = c^2, where a and b are the legs (the other sides of the triangle) and c is the hypotenuse.

5^2 + 2^2 = 29.

√ 29 ≈ 5.38, and that is the length of the hypotenuse.

The shortest side is the bottom side, which is 2 units.  Therefore, that is your answer.

Let me know if this is right! :)

Step-by-step explanation:

x^2 + (4+3)X + 12

x^2 + 4x + 3X + 12

X (X + 4) + 3 ( X + 4)

( X + 3) (X +4)

Solving steps:

[tex]\sf \rightarrow x^2\:+\:7x\:+\:12[/tex]

breakdown the following

[tex]\sf \rightarrow x^2\:+\:3x + 4x\:+\:12[/tex]

break the expressions into groups

[tex]\sf \rightarrow \left(x^2+3x\right)+\left(4x+12\right)[/tex]

factor the following

[tex]\rightarrow \sf x\left(x+3\right)+4\left(x+3\right)[/tex]

factor the common term: (x+3)

[tex]\rightarrow \sf \left(x+3\right)\left(x+4\right)[/tex]

Answer:

Volume;

Let's find the volume of the hemisphere above,

Formula for hemisphere volume:

V = 2/3πr

Where pi(π) is 22/7 or 3.14, and 'r' is the radius.

(extra info:) D/2 = radius

So, diameter in this case is 6,

6/2 = 3 is the radius.

Replace values:-

V = 2/3πr

V = 2/3 x 3.14(3)

V = 2/3 x 9.42

V = 18.84/3

V = 6.28 feet is the volume for the hemisphere.

Now the cylinder's volume,

Cylinder volume formula:

V = π[tex]r^{2}[/tex]h

Where pi(π) is 22/7 or 3.14, 'r' is the radius which is being squared, and 'h' is the height.

Replace values (we figured out radius is 3);

V = π[tex]r^{2}[/tex]h

V = 3.14(3^2) x 10

V = 3.14(9) x 10

V = 28.26 x 10

V = 282.6 feet is the volume of the cylinder.

Add our volumes:-

6.28 + 282.6

= 288.88 feet is our volume.

Surface area;

Now the surface area formula of the cylinder is:

SA = 2πrh(lateral area) + 2π[tex]r^{2}[/tex](area of circle)

Replace values:

SA = 2πrh + 2π[tex]r^{2}[/tex]

SA = 2(3.14) x 10 + 2(3.14) x 3^2

SA = 6.28 x 10 + 6.28 x 9

SA = 62.8 + 56.52
SA = 119.32 is the surface area of the cylinder.

Now the surface area formula of the hemisphere;

SA = 3πr²

Replace values;

SA = 3πr²

SA = 3(3.14) x 3^2

SA = 9.42 x 9

SA = 84.78 is the surface area of the hemisphere.

Add the areas;

119.32 + 84.78

= 204.1 feet is the surface area.

The distance run by each of the seven students is 1/14 miles.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

In order to determine the distance run by each student, we would divided the total miles by the number of students.

Miles run by each student = 1/2÷ 7

1/2 x 1/7 = 1/14 miles

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

[tex] \dfrac{x^5}{y^{10}} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2y^{-6}}{x^{-3}y^4} = [/tex]

[tex] = x^{2 - (-3)}y^{-6 - 4} [/tex]

[tex] = x^5y^{-10} [/tex]

[tex] = \dfrac{x^5}{y^{10}} [/tex]

Answer:

2) [tex]\displaystyle -9a^3b^5[/tex]

1) [tex]\displaystyle \frac{x^8}{3}[/tex]

Step-by-step explanation:

2) [tex]\displaystyle \frac{(27a^3b^3)(-2ab^4)}{6ab^2} \Rightarrow \frac{(3ab)^3(-2ab^4)}{6ab^2} \\ \\ \boxed{-9a^3b^5} \rightarrow \frac{-54a^4b^7}{6ab^2}[/tex]

1) [tex]\displaystyle \frac{16x^{10}y^2}{48x^2y^2} \Rightarrow \frac{(-4x^5y)^2}{48x^2y^2} \\ \\ \boxed{\frac{x^8}{3}}[/tex]

The Quotient-to-Power Rule states that whenever you are dividng like-terms, you keep the coefficients and deduct the exponents.

I am joyous to assist you at any time.

Considering the spherical snowballs, the total volume of snow used in the snowman is of 126 m³.

The volume of an sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this problem, there are three spheres, of radius r = 1 m, r = 5 m and r = 2 m, hence:

[tex]V_1 = \frac{4\pi}{3} = 4.19[/tex]

[tex]V_2 = \frac{4\pi \times 5^2}{3} = 104.72[/tex]

[tex]V_3 = \frac{4\pi \times 2^2}{3} = 16.76[/tex]

The total volume, in cubic meters, is of:

V = 4.19 + 104.72 + 16.76 = 125.67.

Rounding, the total volume of snow used in the snowman is of 126 m³.

More can be learned about the volume of an sphere at https://brainly.com/question/25608353

Answer:

D. 2/5

Step-by-step explanation:

Your would add the entire amount of balls in the toy bin. 12+3+5 which equals 20. You would then add the number of white and orange balls 3+5. You would then have 8/20 which simplified is 2/5