The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)

Answer:

Step-by-step explanation:

[tex]a^2+b^2=c^2\\8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=17\\\\17+15+8 = 40 meters[/tex]

Answer:

B) twice v

Step-by-step explanation:

because if there is no any sign between a number and a variable then you know that there is sign of multiplication

There are various charts which represents mathematical and statistical data with graphical representation.

The correct answer for the given question is ,

I - Chart

Since this chart is used to present data for continuous inspection.

The charts are used for representation of inspected data in to structure way which helps understand the changes easily.

I chart is usually used when there is continuous inspection for the data. This type of chart used to monitor the process when measuring data at regular intervals.

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Answer:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Step-by-step explanation:

We want to write an expression for the phrase: "x increased by 10 divided by 4."

If x is being increased by 10, the expression is:

[tex]x+10[/tex]

And if it is then divided by 4, we can place the entire expression over four. Hence:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Our expression is:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Answer:

12:05 pm

Step-by-step explanation:

Let z be the number of hours, from 11:00 am, when Jimmy would catch up with John. The time that Jimmy will have to drive to catch up with John is z - 1/4 as he started a quarter of an hour late. When Jimmy would catch up with John, they would have traveled the same distance. Hence

50 z = 65 (z - 1/4)

Solve for t

50z = 65z - 65/4

z = 65/60 = 1.083 hours = 1 hour and 5 minutes

Jim will catch up with John at

11:00 am + 1 hour 5 minutes = 12:05 pm

Answer From Gauth Math

Answer:

commutative properties

Answer:

PR = 39 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² + PQ² = QR² , that is

PR² + 80² = 89²

PR² + 6400 = 7921 ( subtract 6400 from both sides )

PR² = 1521 ( take the square root of both sides )

PR = [tex]\sqrt{1521}[/tex] = 39

Answer:

[tex]PR=39[/tex]

Step-by-step explanation:

The triangle (PQR) is a right triangle. This means the triangle has a (90) degree angle, such is indicated by the box around one of the angles in the triangle. One of the properties of the sides of a right triangle is the Pythagorean theorem. The Pythagorean theorem states the following:

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

Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the side opposite the right angle of the triangle triangle, in other words, the hypotenuse. Substitute the respective legs into the formula for the Pythagorean theorem and solve for the unknown,

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

Substitute,

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

[tex]PQ^2+PR^2=QR^2[/tex]

[tex]80^2+PR^2=89^2\\[/tex]

Simplify,

[tex]80^2+PR^2=89^2\\[/tex]

[tex]6400+PR^2=7921[/tex]

Inverse operations,

[tex]6400+PR^2=7921[/tex]

[tex]PR^2=1521\\\\PR=39[/tex]

Answer:

160π in²

Step-by-step explanation:

The formula for the surface area of a cylinder is: A = 2πrh + 2πr²

From here we can plug in what we know (r = 4, h = 16):

A = 2π(4)(16) + 2π(4²)

A = 128π + 32π

A = 160π in²

The surface area of a cylinder is 160π in².

The surface area of a cylinder is also called the total surface area of the cylinder.

Suppose that:

Radius of the considered cylinder = 'r' units

Height of the considered cylinder = 'h' units

The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

From here we can plug in what we know that,

(r = 4, h = 16):

A = 2π(4)(16) + 2π(4²)

A = 128π + 32π

A = 160π in²

Hence, the surface area of a cylinder is 160π in².

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Answer:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{} t_1=\boxed{5} \\\\d=\boxed{-4} \\\\t_n=\boxed{9-4n}[/tex]

Step-by-step explanation:

[tex]\displaystyle\large \boldsymbol{Rule: t_n=S_{n}-S_{n-1}} \\\\\\S_n=7n-2n^2 \ \ \ \ then \\\\\Longrightarrow S_{n-1}=7(n-1)-2(n-1)^2 =7n-7-2n^2+4n-2 \\\\then \\\\\\S_{n}-S_{n-1}=7n\!\!\!\!\!\!\diagup-2n^2\!\!\!\!\!\!\diagup-7n\!\!\!\!\!\!\diagup+7+2n^2\!\!\!\!\!\!\diagup-4n+2=9-4n \\\\t_n=9-4n => t_1=5\\\\d=t_2-t_{1}=1-5=-4[/tex]

Answer:

x = 7.75       y = -0.125

Step-by-step explanation:

3x + 2y = 23                         1/2x - y = 4

2(1/2x - y) = (4)2                   1x - 2y = 8

    3x + 2y = 23

+   1x - 2y = 8

4x = 31

x = 7.75

3(7.75) + 2y = 23

23.25 + 2y = 23

2y = -0.25

y = -0.125

The fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Mrs. Vacarro sliced a banana into 5 pieces.

Number of slices she gave to her toddler = 4/5

Number of slices left after her toddler had finished eating = 2/5

Thus number of slices toddler ate,

⇒ [tex]\frac{4}{5} -\frac{2}{5}[/tex]

⇒ [tex]\frac{4-2}{5}[/tex]

⇒ [tex]\frac{2}{5}[/tex]

Hence we can conclude that the fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.

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Answer:

Hello,

[tex]Answer:\ 2.8 < x < 5.4[/tex]

Step-by-step explanation:

The simpliest is to use the triangular inequality:

in a triangle, a side must be inferior to the sum of the 2 others sides.

[tex]\left\{\begin{array}{ccc}4.1& < &x+1.3\\1.3&< &4.1+x\\x & < & 4.1+1.3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2.8& < &x\\1.3-4.1&< &x\ not\ used\\x & < & 5.4\\\end{array}\right.\\\\\\Finaly:\ 2.8 < x < 5.4[/tex]

Answer:

2.8 < x < 5.4

Step-by-step explanation:

Given 2 sides of a triangle then the third side is in the range

difference of 2 sides < x < sum of 2 sides , that is

4.1 - 1.3 < x < 4.1 + 1.3 , then

2.8 < x < 5.4

Answer: x = -3

[tex]2x+6=0\\\\2x=-6\\\\x=\frac{-6}{2} =-3[/tex]

Answer:

x= -3

Step-by-step explanation:

Solve the equation:

2x +6 = 0

We have isolate 'x'.

First subtract 6 from both sides

2x = 0-6

2x = -6

Divide each side by 2

x = -6/2

x = -3

Answer:

b, c, d

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

212/4 = 53, so 53/1, or 53 miles are driven every hour.

Answer:

204

Step-by-step explanation:

600 * .12 = 72

600 * .22 = 132

72 + 132 = 204

Have a great day!

Answer:

x = -1/2

Step-by-step explanation:

4x^2 + 4x + 1 = 0

Factor

(2x+1)(2x+1) =0

Using the zero product property

2x+1 = 0 2x+1 =0

2x = -1  2x=-1

x = -1/2   x = -1/2

Answer:

see explanation

Step-by-step explanation:

(1)

x - (9x - 10) + 11 = 12x + 3(- 2x + [tex]\frac{1}{3}[/tex] ) ← distribute parenthesis on both sides

x - 9x + 10 + 11 = 12x - 6x + 1 ← collect like terms on both sides

- 8x + 21 = 6x + 1 ( subtract 6x from both sides )

- 14x + 21 = 1 ( subtract 21 from both sides )

- 14x = - 20 ( divide both sides by - 14 )

x = [tex]\frac{-20}{-14}[/tex] = [tex]\frac{10}{7}[/tex]

(3)

- 4x - 2(8x + 1) = - (- 2x - 10) ← distribute parenthesis on both sides

- 4x - 16x - 2 = 2x + 10

- 20x - 2 = 2x + 10 ( subtract 2x from both sides )

- 22x - 2 = 10 ( add 2 to both sides )

- 22x = 12 ( divide both sides by - 22 )

x = [tex]\frac{12}{-22}[/tex] = - [tex]\frac{6}{11}[/tex]

(7)

8(2x + 9) = 56 ( divide both sides by 8 )

2x + 9 = 7 ( subtract 9 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Answer:

4. 12√3

5. -35√2

6. 5√2/2

Step-by-step explanation:

4. 3√12+2√27

= 3√(4×3) + 2√(9×3)

= 6√3+6√3

= 12√3

5. 5√8-9√50

= 5×2√2-9×5√2

= 10√2-45√2

= -35√2

6. 5/√2

= 5×√2/(√2×√2)

= 5√2/2

Answered by GAUTHMATH

Answer:

the art or practice of taking and processing photographs.

Step-by-step explanation:

question came up for me and i chose this and it was right.

Answer:

photography ... is a item that is a visual representation of something.

if you really don't know the word it is taking a picture of something (a "selfie").

Photo = light  ....  Graph = image  so technically speaking a

photograph is "making a image using light"

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

First, we can say that because the men do 1/3 of the work in 20 days,

for 10 men:

20 days = 1/3 total work

Because we need the house built in 30 days, and 20 days have already passed, we only have 30-20=10 days left. Furthermore, 20/2=10, so in our equation of 20 days = 1/3 total work, we can divide both sides by 2 to get

10 days = 1/6 total work

The amount of work we need to get done in 10 days is (all of it) - (1/3 of total work) = 1 - 1/3 = 2/3 = 4/6

Since 10 men can do 1/6 of the work in 10 days, 10*4 =40 men can do 1/6 * 4 = 4/6 of the work in 10 days. This is the amount of work that needs to get done. Therefore, the contractor needs 40 (total workers) - 10 (current workers) = 30 new workers to finish the remaining work in due time

Answer:

the number is 2.45

Step-by-step explanation:

let the original number = n

[tex]\frac{n^4}{n/2} = \frac{2n^4}{n} = 2n^3\\\\2n^3 + \frac{141}{2} = 100\\\\4n^3 + 141= 200\\\\4n^3 = 200 - 141\\\\4n^3 = 59\\\\n^3 = \frac{59}{4} \\\\n^3 = 14.75\\\\n = \sqrt[3]{14.75} \\\\n = 2.45[/tex]

Therefore, the number is 2.45

Answer: [tex]a=\sqrt{60}[/tex]

Step-by-step explanation:

To solve for a, we want to use Pythagorean Theorem as provided int eh problem. a and 2 are the legs while 8 is the hypotenuse.

[tex]a^2+2^2=8^2[/tex]           [exponent]

[tex]a^2+4=64[/tex]            [subtract both sides by 4]

[tex]a^2=60[/tex]                  [square root both sides]

[tex]a=\sqrt{60}[/tex]

Now we know that [tex]a=\sqrt{60}[/tex].

Answer:

1861÷1250

Step-by-step explanation:

This is the simplified version

Answer:

f^(-1)(x) = 3x/(2-x)

Step-by-step explanation:

f(x) = 2x/(x+3)

f(x)*(x+3)=2x

x(2-f(x))=3f(x)

x=3f(x)/(2-f(x))

f^(-1)(x) = 3x/(2-x)

Answer:

1g - 50 = p(g)

Step-by-step explanation:

The profit function is,

⇒ p(g) = g - 50

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Betty sets up a lemonade stand and charges $1 per glass.

It cost her $50 to set up the stand.

And, We have to find the function gives the profit, p, she makes by selling g glasses of lemonade.

Now, The number of glasses of lemonade sold = g,  

And, A profit, p by function p(g)

Setup cost = $50

Since, Charges for 1 glass  = 1 $

Hence, Charges for g glasses = 1.g  = $g

Here, The cost = $50  

Hence, Profit  = $g - 50

⇒ p(g)  =  g - 50  

Therefore, The profit function is,

⇒ p(g) = g - 50

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Answer:

500

Step-by-step explanation:

Answer:

21 s t^2

Step-by-step explanation:

7t · s · 3rt

Multiply the coefficients

7*3 =21

t*t = t^2

s

Multiply back together

21 s t^2

Answer:

A. B. D.

Step-by-step explanation:

There are 6 possible values to roll. Since 3 values are even and 3 values are odd, the game should be 0.

Answer:

A, B, D

Step-by-step explanation:

EDG 2021

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