Identify the vertex of the function, F(x) =3(x-1)2 + 5.

Answer:

p = -3

q = -10

Step-by-step explanation:

[tex]x^{2}+6x+19=x^{2}+6x+9+10[/tex]

[tex]\text{we know that} \ x^{2}+6x+9=\left (x+3)^2\right\ \text{ because it is a special product}[/tex]

[tex]\text therefore \ ,\ x^{2}+6x+19=(x + 3)^2+10[/tex]

[tex]\text therefore \ ,\ x^{2}+6x+19=0 \ means\ (x + 3)^2= -10\ means\ (x -\ - 3)^2= -10[/tex]

Answer:

31

Step-by-step explanation:

PEMDAS is Parentheses, Exponent, Multiplication, Addition, Subtraction

This is just the order you do the operations.

First, Parentheses.

Second, Exponents,

Third, Multiplication or Division

Last, Addition or Subtraction

So we have,

[6(20) + 3(15)] ÷ 5

We first look at Parentheses.

The first case is 6(20)

6(20) = 120

We have [120 + 3(15)]÷ 5

We solve 3(15) as its the next parentheses

3(15) = 45

We have [120 + 45] ÷ 5

Then we solve for [120 + 45] as it's in brackets.

[165] ÷ 5 = 31

The answer is 31.

Answer:

the answer is 11

Step-by-step explanation:

Answer:

v≈4.7

w≈1.6

Step-by-step explanation:

sin71º＝v/5

v=5*sin71º≈4.7

cos71º＝w/5

w=5*cos71º≈1.6

Answer:

Only C

Step-by-step explanation:

1 4/11 is 1+4/11 and 4/11 is less than 1/2 so it has to be less than 1.5, which is less than 1.75

1.6 is less than 1.75 because 1.75-1.6 is 0.15 which is a positive number

4/7 is 1 3/4 which is 1.75

Answer:

a and c

Step-by-step explanation:

they are over 1

(1) Basket (2) Hands (3) Cart. 3 ways i can think of

Answer:

56/3 pi  cm^3

Step-by-step explanation:

1/2 volume of sphere = 1/2  4/3 pi r^3

volume of cone   1/3 pi r^2 h

r =2   h = 10  

result :  56/3 pi  cm^3

The volume of the ice cream is 58.64 cubic cm.

A three dimensional figure has three dimensions as length, breadth and height. The volume of a three dimensional figure is the amount of the substance contained by it.

Given that,

The height of cone part of the ice cream is  h = 10 cm.

The radius of the hemisphere is r = 2 cm.

As per the diagram given the radius of the hemisphere is equal to the radius of cone as 2 cm.

The volume of hemisphere is given as (2/3) × πr³.

And, the volume of cone is given as (1/3) × πr²h.

Now, the volume of the ice cream treat is equal to the sum of the volume of cone and hemisphere as,

V = (1/3) × π × r²h +  (2/3) × π × r³

Substitute the values to get,

V = (1/3) × π × 2² × 10 + (2/3) × π × 2³

  = (56/3) × π

  = 58.64

Hence, the volume of the ice cream treat is 58.64 cubic cm.

To know more about Three dimensional figure click on,

https://brainly.com/question/24303419

#SPJ2

Answer:

red apples

Step-by-step explanation:

1 lb of green apples is 1.5

1 lb of red apples is 2

Answer:

Below.

Step-by-step explanation:

7(x + 2) = 91

Distribute the 7 over the parentheses:

7x + 14 = 91

Subtract 14 from both sides of the equation:

7x = 91 - 14

7x = 77

x = 77/7 = 11.

Answer:

X=11

Step-by-step explanation:

[tex]7\left(x+2\right)=91[/tex]

Divide both sides by 7:

[tex]\frac{7\left(x+2\right)}{7}=\frac{91}{7}[/tex]

Simplify:

[tex]x+2=13[/tex]

Subtract 2 from both sides:

[tex]x+2-2=13-2[/tex]

Simplify:

X=11

Answer:

[B]

Step-by-step explanation:

Given:

People leaving the library were asked how many books they checked out that day The result are: 1,2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20

To Find:

Which histogram correctly shows the data set?

Solution:
Since it given from the histogram:

0-5, 6-11, 12 - 17,18-23

From the result :

1,2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20

Thus,

1,2,3,5 = 0-5

8,9,10,11 = 6-11

12,13,14,15,16 = 12-17

18,20 = 18-23

From this we can see that:

for

0 - 5 = 4

6 - 11 = 4

12 - 17 = 5

18 - 23 = 2

Hence, the answer is [B]

Kavinsky

Answer:

[tex]\large\boxed{\tt x^{\circ}= 90^{\circ}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to find the value of x.}[/tex]

[tex]\textsf{The value of x is an angle for this triangle.}[/tex]

[tex]\textsf{Note that we are given 2 other angles, we can use what is given to us to solve for x.}[/tex]

[tex]\large\underline{\textsf{What is a Triangle?}}[/tex]

[tex]\textsf{A Triangle is a shape with 3 sides, and 3 angles. Sometimes these can be congruent,}[/tex]

[tex]\textsf{other times, and most of the time they're not. These are called Equilateral}[/tex]

[tex]\textsf{Triangles. Every Triangle consists of 3 angles that add up to 180}^{\circ}. \ \textsf{If the angles}[/tex]

[tex]\textsf{don't add up to 180}^{\circ}, \ \textsf{then the shape is not a triangle.}[/tex]

[tex]\textsf{Now that we know a Triangle has 3 angles that add up to 180}^{\circ}, \ \textsf{we can create an}[/tex]

[tex]\textsf{equation where x is the \underline{subject}.}[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{All 3 angles add up to 180}^{\circ}, \ \textsf{let's create an equation.}[/tex]

[tex]\tt 180^{\circ} = 37^{\circ} + 53^{\circ} + x^{\circ}[/tex]

[tex]\textsf{To make x the subject, move x to the other side of the equation by subtracting x.}[/tex]

[tex]\tt 180^{\circ} - x^{\circ}= 37^{\circ} + 53^{\circ} + x^{\circ} - x^{\circ}[/tex]

[tex]\textsf{We should also move 180}^{\circ} \ \textsf{to the other side of the equation as well.}[/tex]

[tex]\tt 180^{\circ} - 180^{\circ} - x^{\circ}= 37^{\circ} + 53^{\circ} -180^{\circ}[/tex]

[tex]\underline{\textsf{We should have;}}[/tex]

[tex]\tt- x^{\circ}= -180^{\circ} + 37^{\circ} + 53^{\circ}[/tex]

[tex]\textsf{We should remove the negative for x by dividing the whole equation by -1.}[/tex]

[tex]\frac{\tt- x^{\circ}= -180^{\circ} + 37^{\circ} + 53^{\circ}}{-1} \rightarrow \tt x^{\circ}= 180^{\circ} - 37^{\circ} - 53^{\circ}[/tex]

[tex]\underline{\textsf{Simplify the right side of the equation;}}[/tex]

[tex]\large\boxed{\tt x^{\circ}= 90^{\circ}}[/tex]

Answer:

5/2    See below

Step-by-step explanation:

L x W x H = 125/8

for a CUBE   L   W and H are the same

L^3 = 125/8

L = 5/2

Answer:

558.9 miles total

Step-by-step explanation:

See attached spreadsheet.

Answer:

=> -x² + 3x

Step-by-step explanation:

-x (x – 3)

=> -x² + 3x

Answer:

[tex]f(5)=1249[/tex]

Step-by-step explanation:

Given:

[tex]\implies f(2) = 5f(1)+4=5(1)+4=9[/tex]

[tex]\implies f(3) = 5f(2)+4=5(9)+4=49[/tex]

[tex]\implies f(4) = 5f(3)+4=5(49)+4=249[/tex]

[tex]\implies f(5) = 5f(4)+4=5(249)+4=1249[/tex]

Answer:

[tex]a_4=19[/tex]

Step-by-step explanation:

Given:

[tex]\implies a_2=a_{1}+4=7+4=11[/tex]

[tex]\implies a_3=a_{2}+4=11+4=15[/tex]

[tex]\implies a_4=a_{3}+4=15+4=19[/tex]

Put values get answer

Answer:

∠ BED = 57°

Step-by-step explanation:

angles on the circumference subtended by the same arc are congruent,

∠ BCD and ∠ BED are both subtended by arc BD , then

∠ BED = ∠ BCD = 57°

Answer: 30%

Step-by-step explanation:

because my friend said so? <3

hope this helps!

Answer:

B)

Step-by-step explanation:

The main feature in a right triangle is that it has a right angle (90°)

Hope this helps

Step-by-step explanation:

1,2,4,8,16,32,64,128

Multiplying by 2

1,3,5,7,9,11

Adding 2

30, 25, 20, 15, 10, 5

Subtracting 5

Answer:

1,2,3"8"16,32"64"128

1"3"5,7"9"11

30"25""20"15,10,5

Step-by-step explanation:

by x2

The price of the advance ticket is  $40 and the price of the same day tickets is $30.

a + b = $70 equation 1

20a + 35b = 1850 equation 2

Where:

a = cost of one advance ticket

b = cost of one same day ticket

Multiply equation 1 by 20

20a + 20b = 1400 equation 3

Subtract equation 3 from equation 2

15b = 450

Divide both sides by 15

b = $30

Subtract $30 from $70.

$70 - $30 = $40

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Answer:

3 and 27

Step-by-step explanation:

Step 1:  Determine which two terms we can use

We have the following numbers to choose from:  3, 14, 27

Adding two numbers to get a multiple of ten means that the number that we come up with needs to be divisible by ten.  For example:  20, 30, 50, 100 are all multiples of ten.

In this example the only one that would add up to create a multiple of ten is 27 and 3 which would give us 30 which is a multiple of 10.

Answer: 3 and 27

Answer:

[tex]\displaystyle (f\circ g)(-1) = 5[/tex]

Step-by-step explanation:

We are given the two functions:
[tex]\displaystyle f(x) = 2x + 3\text{ and } g(x) = -3x - 2[/tex]

And we want to find:
[tex]\displaystyle (f\circ g)(-1)[/tex]

Recall that this is equivalent to:
[tex]\displaystyle (f\circ g)(-1) = f(g(-1))[/tex]

Hence, find g(-1):
[tex]\displaystyle \begin{aligned} g(x) & = -3x - 2\\ \\ g(-1) & = -3(-1) - 2\\ \\ & = (3) - 2 \\ \\ & = 1 \end{aligned}[/tex]

Substitute:
[tex]\displaystyle f(g(-1)) = f(1)[/tex]

Find f(1):

[tex]\displaystyle \begin{aligned} f(x) & = 2x+ 3 \\ \\ f(1) & = 2(1) + 3 \\ \\ & = 5\end{aligned}[/tex]

In conclusion:
[tex]\displaystyle (f\circ g)(-1) = 5[/tex]

Answer:The equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

Step-by-step explanation:Lines that are perpendicular to each other have slopes that are negative reciprocal of each other.

For example, if a line has a slope of 2, the slope of a line that is perpendicular to it would be, -1/2 (negative reciprocal of 2).

Determine the slope of the given line whose equation is, y + 2 = 3/2(x + 4). Rewrite the equation in slope-intercept form [y = mx + b]:

y + 2 = 3/2x + 6

y = 3/2x + 6 - 2

y = 3/2x + 4

The slope is therefore 3/2.

Negative reciprocal of 3/2 is -2/3.

Examine each of the equations given and see which equation has a slope of -2/3.

A. y = -3/2x +4, the slope is -3/2.

B.  y = -2/3x + 4, the slope is -2/3. (perpendicular)

C.  y = 2/3x +4, the slope is 2/3.

D. y = 3/2x +4, the slope is 3/2.

E. y+1=-4/6(x+5), rewrite in slope-intercept form

y+1=-4/6x + 20/6

y + 1 = -2/3x + 10/3

The slope is -2/3. (perpendicular)

F. y+ 1 = 3/2(x + 5), the slope is 3/2.

Therefore, the equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

Answer:

is the set of infinitely many primitives that a function can have. It is represented by ∫ f(x) dx. It reads: integral of x differential of x. ∫ is the integration sign.

Answer:

18. Huan sold 18 pizza's. 23 - 5 = 18.

You can also start at 23, and count down to 5.

Step-by-step explanation:

Answer:

-2x+4>18.

Step-by-step explanation:

Solve and graph a one variable inequality. Solve the inequality and graph the solution on a number line.

An estimate of the number of visitors that vist the museum during a month given the average number of visitors per day is 15,128.

Multiplication is an arthmetic operation that can be used to determine the product of a number. The sign used to denote multiplication is x.

In order to determine this value, multiply the average daily visitors by the number of days in a month

488 x 30 = 15,128

To learn more about multiplication, please check: https://brainly.com/question/13814687