Complete the square for the function y = x2 + 6x +7. Which features are correctly stated?
A)
Axis of symmetry at x = -2
B)
Minimum = -2 at x = -3
Vertex form: (x + 3)2 - 2
D)
Zero at x = = √2-3
E)
Zero at x = 3-VE

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1:

A standard deck of cards contains 52 cards, consisting of 13 spades. If you select only one randomly, the probability of that occurring would be 13/52 or 1/4. Since there are only 26 red cards in a standard deck, then the probability of selecting a red card would be 26/52 or 1/2. Because the two events are independent of each other, their probabilities are multiplied. Therefore, the probability of selecting a spade, and then replacing it in hopes of drawing a red card is (1/2)(1/4) = 1/8.

Problem 2:

We are selecting a spade and then another spade while NOT replacing the first spade (remember that these events are independent of each other also). This means that the total card count will change by picking up the second card. Therefore, the probability of selecting a spade, followed by another spade, is (13/52)(12/51) = 156/2652 = 1/17.

Step-by-step explanation:

what is the center of the circle !

Step-by-step explanation:

[tex]6 {x}^{2} {y}^{3} - 2x + 10 \\ when \: x = 5 \: y = - 3 \\ 6( {5})\: ^{2} ( { - 3})^{3} - 2(5) + 10 \\ 6 (25)( - 27) - 10 + 10 \\ = - 4050[/tex]

Answer:

x=11

Step-by-step explanation:

Your equation is:

35 = 14x+1-85/2

70=14x-84

154=14x

11=x

Answer:

Step-by-step explanation:

Angle between tangent and secant is half the difference of intercepted arcs:

Answer:

The largest value of x will be [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]3x-7<-2[/tex]

[tex]3\frac{5}{3}-7<-2[/tex]    

[tex]\frac{15}{3} -7<-2[/tex]      Always multiply whole number then numerator

[tex]5-7<-2[/tex]       Statement is false so that means x has to be less than 5/3

So the largest value of x will be [tex]\frac{4}{3}[/tex]

Answer:

128 times

Step-by-step explanation:

32 / 50 = 0.64

0.64 * 200 = 128

128 times out of 200

Answer:

721.64

Step-by-step explanation:

32.7*26.3=860.01

13.7*10.1=138.37

860.01-138.37=721.64

721.64 mi^2

Step-by-step explanation:

Area of the large rectangle A2 is

A2 = (32.7 mi)(26.3 mi) = 860.01 mi^2

Area of the small rectangle A1 is

A1 = (10.1 mi)(13.7 mi) = 138.37 mi^2

Therefore, the area of the shaded region is simply the difference between A2 and A1:

Area (shaded) = A2 - A1

= 860.01 mi^2 - 138.37 mi^2

= 721.64 mi^2

Answer:

0.2% and 1/5%

Step-by-step explanation:

Hope this helps

Answer:

0.2% is the answer as decimal.

3/15/100

3/15*1/100

3/1500

1/500( as fraction)

Step-by-step explanation:

Answer:

true, unless its a check all that apply and then you can have multiple!

Step-by-step explanation:

hope this helps :)

Answer:

the center is (3, -4) and the radius is = 2

Step-by-step explanation:

In other words, it's 2 feet, 3 inches

=================================================

Work Shown:

Convert the 4'1" to purely inches only

4'1" = 4 ft, 1 inch

4'1" = 4 ft + 1 inch

4'1" = 48 inches + 1 inch

4'1" = 49 inches

Note how 4 ft = 4*12 = 48 inches

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

Through similar steps, you should find that 1'10", aka 1 ft 10 inches, is equivalent to 22 inches

Subtracting the two quantities gets us

(4' 1") - (1' 10") = (49 inches) - (22 inches) = 27 inches

Now convert that to the format "feet,inches".

27 in = 24 in + 3 in

27 in = (24/12 ft) + 3 in

27 in = 2 ft + 3 in

27 in = 2 ft, 3 in

27 in = 2' 3"

Answer:

-30

Step-by-step explanation:

3 (2(-3) - 4)

= 3(-6 - 4)

= 3(-10)

= -30

Answer:

1 Let x=1x=1.

2\times 1\times 4=8

2×1×4=8

2 Simplify  2\times 12×1  to  22.

2\times 4=8

2×4=8

3 Simplify  2\times 42×4  to  88.

8=8

8=8

Step-by-step explanation:

What is the Value of the expression 3 (2x - 4) when x = -3?​

2 Divide both sides by 88.

x=1

Answer:

this is distributive  property.

Step-by-step explanation:

a(c+b)=ac+ab

Answer:

Break-even point in units= 571 hamburgers

Step-by-step explanation:

Giving the following information:

The cost of making a hamburger is 10.75 and the selling price is 16. The fixed expenses for the month are 3000.

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 3,000 / (16 - 10.75)

Break-even point in units= 571 hamburgers

Answer:

x=12. B=52

Step-by-step explanation:

In ∆BCD,

<C=45

<D=7x-1

<B=3x+16[as this diagram is a parellelogram so DE II BC so <CBD=<BDE=3x+16 bcz alternate interior angle]

interior angle of triangle=180 degree

<B+<C+<D=180

3x+16 + 45 + 7x-1 = 180

10x + 60=180

10x =180-60

x=120/10

x=12 degree

m<B =3x+16

=3(12)+16

=36+16

m<B = 52 degree

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE IT TOOK TOO MUCH TIME

Given:

The function is:

[tex]f(x)=4x^2-25x-21[/tex]

To find:

The domain of the given function.

Solution:

Domain is the set of input values.

We have,

[tex]f(x)=4x^2-25x-21[/tex]

It is a quadratic polynomial.

We know that a quadratic polynomial is defined for all real values of x. So, the given function is defined for all real values of x and the domain of the given function is:

Domain = Set of all real number

Domain = (-∞,∞)

Therefore, the correct option is B.

Answer:

2) (3, -2)

Step-by-step explanation:

d + e = 1

- d + e = - 5

__________+

0 +2e = -4

e = -4/2 = -2

d = 1-(-2) = 3

so, (d, e) => (3, -2)

Answer

20/7=2 6/7

Step-by-step explanation:

soory no explanation

Answer:

x = 8

Step-by-step explanation:

It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.

30 ÷ 25 = 1.2

Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;

1.2 (35) = 4x + 10

Simplify,

42 = 4x + 10

Inverse operations,

42 = 4x + 10

32 = 4x

8 = x

Answer:

Step-by-step explanation:

Use proportions to solve this and the similarity from smaller side to corresponding larger side:

[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:

1050 = 25(4x + 10) and

1050 = 100x + 250 and

800 = 100x so

x = 8

Answer:

$10.85

Step-by-step explanation:

31 * .65 = 20.15

31 - 20.15 = 10.85

Answer:

a. x = 4.8989794855663561963945681494118 or 4.9 rounded

b. x = 8.6023252670426267717294735350497 or 8.6 rounded

Step-by-step explanation:

7² - 5² = x²

49 - 25 = x

49 - 25 = 24

√24 = 4.8989794855663561963945681494118

7² + 5² = x²

49 + 25 = x

49 + 25 = 74

√74 = 8.6023252670426267717294735350497

Answer:

I'm gonna go with b p.s: sorry if im wrong

Step-by-step explanation:

The Situation described in option A models best the given expression

The given expression is:

[tex]\frac{1}{2} *\frac{1}{6}[/tex]

A fraction is part of a whole.

A)Pablo spent 1/2 hour practising the trumpet, he spent 1/6 of that time practising his scales.

This means he spent [tex]\frac{1}{2} *\frac{1}{6}[/tex] hours i.e. [tex]\frac{1}{12}[/tex] hours while practising his scales.

So, option A best models the expression [tex]\frac{1}{2} *\frac{1}{6}[/tex].

B)This option is concerned with [tex]\frac{1}{2} +\frac{1}{6}[/tex]

C)This option is concerned with [tex]\frac{1}{2} /\frac{1}{6}[/tex]

D)This option is concerned with [tex]\frac{1}{2} -\frac{1}{6}[/tex]

Hence, option A best models the expression [tex]\frac{1}{2} *\frac{1}{6}[/tex].

To get more about fractions visit:

https://brainly.com/question/78672

Answer:

x=11

Step-by-step explanation:

These add up to 180 since a straight line = 180 degrees

Your equation is: 4x+15+11x=180

15x+15=180

15x=165

x=11

Answer:

X=11

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

4x+15+11x=180

15x+15=180

180-15=165

165/15=11

X=11

Answer:

792m^2

Step-by-step explanation:

Seperate your 2 rectangles

Large one is 18*30

Small one (60-18)*6

18*30 = 540m^2

42*6=252m^2

Step-by-step explanation:

finding volume of pyramid

[tex] \frac{1}{3} (12 \times 18)(13) \\ \frac{1}{3} (216)(13) \\ \frac{1}{3} (2808) \\ 936 {ft}^{3} [/tex]

volume of the rectangular prism

[tex](12)(18)(11) \\ (216)(11) \\ 2376 {ft}^{3} [/tex]

volume of the shape

[tex]936 + 2376 \\ 3312 {ft}^{3} [/tex]