The graph of the function f(x) = –(x + 6)(x + 2) is shown below. On a coordinate plane, a parabola opens down. It goes through (negative 6, 0), has a vertex at (negative 4, 4), and goes through (negative 2, 0). Which statement about the function is true? The function is increasing for all real values of x where x –2. The function is decreasing for all real values of x where x < –4.

Answer:

The constant proportionality of the table above is 16.

Step-by-step explanation:

In order to solve this problem, you must divide the weight of cat food by the number of bags. You must also continue doing this for each of the ratios shown in the table.

64 ÷ 4 = 16

80 ÷ 5 = 16

96 ÷ 6 = 16

So, the proportionality of the table is 16. As you can see, when we divided the numbers, they all had a quotient of 16, which is our proportion.

Answer:

B: 3x+5

Step-by-step explanation:

You can solve this equation by doing the following steps:

6x2 + x - 15 is your polynomial. So take your polynomial and factor it down.

6x^2 + x - 15 = 6x^2 - 9x + 10x - 15 = 3x(2x - 3) + 5(2x - 3) = (3x+5)(2x - 3).

Check your answers again.

A) 3x - 5

Would this be possible considering our last answer? Which was (3x + 5)(2x - 3). No, it's not adding, so it's wrong.

B) 3x + 5

Could this be possible? Yes, it could because it has the first half of our answer. (3x + 5), keep this in mind.

C) 4x - 5

There was no 4 in the last part, so no. It's wrong. We're working with 2, 3, and 5 only. No 4.

D) 4x + 5

Again, no 4. Make sure to double-check your answers before clicking.

Answer:

x=-24

Step-by-step explanation:

2/3 x +3 =1/4x-7

8/12x+3= 3/12x-7

5/12x + 3 = -7

5/12x = -10

5/12x (12/5) = -10(12/5)

x=-120/5

x=24

Answer:

Step-by-step explanation:

Standard form of the equation:

y  = [tex]-\frac{1}{4} (x+3)^2+3[/tex]

Directrix: y=4

Focus: (-3,2)

Points on the parabola (x,y):

(-5,2) (-3,3) (-1,2)

Distance from points to focus:

(-5,2) = (-3,2)

Answer choices:  (x+3)^2+(y−3)^2, (x−2)2+(y+3)2, (x+3)2+(y−2)2

(-5+3)^2+(2-3)^2=5

(-5-2)^2+(2+3)^2=74

(-5+3)^2+(2-2)^2=4

(-1,2)

Answer:

3/5 or 0.6

Step-by-step explanation:

Here, given the value of tan theta , we want to find the value of sine theta

Mathematically;

tan theta = 0pposite/adjacent

Sine theta = opposite/hypotenuse

Firstly we need the length of the hypotenuse

This can be obtained using the Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.

Let’s call the hypotenuse h

h^2 = 3^2 + 4^2

h^2 = 9 + 16

h^2 = 25

h = √(25)

h = 5

Now from the tan theta, we know that the opposite is 3

Thus, the value of the sine theta = 3/5 or simply 0.6

Answer:

9:00 am -------------------- 12:00pm ( There are 180 minutes between them)

Go 48 minutes back (132 Minutes between them)

That time is divided by 2

(4x minutes past 9:00 and x minutes left to reach 12:00)

132/3 = 44 minutes are left

OR

12:00- 44 minutes = 11:16

11:16-48 minutes =10:28

9 am + 88minutes (44 x 2) = 10:28

Answer:

5^3

Step-by-step explanation:

5*5^2

We are multiplying when the bases are the same

5^1 * 5^2

Add the exponents

5^(1+2)

5^3

Answer:5^3

Step-by-step explanation:Its a fact

Answer:

(a) y = 1.6x

(b) y = 48

Step-by-step explanation:

(a) Since y varies directly as x,

  y ∝ x

  y = kx [where k = proportionality constant]

  If y = 8 and x = 5

  By substituting these values in the equation,

  8 = 5k

  k = [tex]\frac{8}{5}[/tex]

  k = 1.6

  Therefore, equation will be,

   y = 1.6x

(b) If x = 30, then we have to find the value of y.

   By substituting the value of x in the equation,

   y = 1.6 × 30

   y = 48  

Answer:

D. 65 degrees

Step-by-step explanation:

If two sides are congruent the corresponding angles are also congruent

Answer:

(i)[tex]M \cup P=\{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30\}[/tex]

(ii)M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

(iii)P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

(iv)P’U(M∩T’)={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

Step-by-step explanation:

Given the sets:

ε = {x: 2 ≤ x ≤30, x is an integer}

M = {even numbers}={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

P = {prime numbers}={2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

T = {odd numbers} ={3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}

(i)This is the union of sets M and P. (Do not repeat same elemnts)

[tex]M \cup P=\{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30\}[/tex]

(ii)M-T: This is the set M less elements in set T.

Since [tex]M \cap T =\{\}[/tex], the set M-T=M.

M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

(iii) P∪(M∩T)

[tex]M \cap T =\{\}[/tex]

Therefore:

P∪(M∩T) = P

P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

(iv) P’U(M∩T’)

Since T is the set of odd numbers, its complement will be the set of even numbers.

T'=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

M∩T’=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

[tex]P' =\{4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30\}[/tex]

Therefore:

P’U(M∩T’) = {4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30} U {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

Answer:

a) 1 : 4

b) 60 : 180 or 1 : 3

Step-by-step explanation:

Answer:

a. 1:4

b. 1:3

Step-by-step explanation:

Let’s start with a.

So the ratio 14:56 can be divided in two to 7:28 and they are both divisible by 7 we its most simplified form is 1:4 because 28/7 is 4 and 7/7 is 1.

Now for b.

So if 240 were sold in total and 180 of them were online them doing 240-180, 60 of them were sold in person so the ratio is 60:180 which can be simplified to 30:90 to 15:45 to 3:9 to 1:3.

Answer:

Segment AB || Segment CD

Step-by-step explanation:

Two lines are said to be parallel (||) if they do not meet, even when extended to infinity.

Given: <1 ≅ <3, ΔACD is an isosceles triangle.

Proof: Segment AB || Segment CD

From the diagram given,

AC ≅ AD (side property of isosceles triangle)

<3 = <4 (base angle property of an isosceles triangle)

<1 = <4 (alternate angle property)

Therefore, segment AB is parallel to segment CD.

Answer:

-3 =< x < 2

Step-by-step explanation:

-3 is less than or equal to x

x is less than +2

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Inequalities.

So basically here, we can see that, the dark dot indicates the closed bracket and white dot shows the open bracket.

so finally we get as,

=>

-3<=X<2

or we can write as,

=>

[-3,2)

Answer:

x²+15x+26

Step-by-step explanation:

zeros are x=-13, x=-2

x=-13 then x+13=0

x=-2 then x+2=0

(x+13) (x+2)

x²+15x+26

y=ax²+bx+c

Answer:

4√7

Step-by-step explanation:

hyp1(9)/alt(x)=hyp2(7)/alt(x)

By cross multiplication, x^2 = 63

thus, alt = √63

Then, with Pythagorean theorem, (√63) ^ 2 + 7 ^ 2 = z ^ 2

Thus, 63 + 49 = z ^ 2

Thus, 112 = z ^ 2

Thus, z = √112

Thus, z = 4 √7

Answer:

I hope it is correct ✌️

Step-by-step explanation:

The formulae for median is

N=£f/2 that is the sum of frequency divide by two

Median =Nth term + (N + 1)th term divide by two

first of all do the cumulative frequency which is

2+0=2

2+8=10

10+4=14

14+10=24

24+6=30

therefore N=£f/2

N=30/2

=15

when you use the formulae

it will be 15+(15+1)/2

then check the cumulative frequency the value close to the range of 15 and 16 which is 14

then you trace 14 back to the conceded goals

which is 2

then you add 2+2 and divide by two

which is= 2

therefore the median is 2

Mean

formulae

mean=conceded goals multiply by the frequency/sum of frequency

0*2=0.

1*8=8

2*4=8

3*10=30

4*6=24

total is 70

sum of frequency is 10

according to the formulae 70/10=7

therefore the mean is 7

To find the lateral area of a cone, use this formula:

[tex]\pi r\sqrt{h^2+r^2}[/tex]

where r is the radius (in this case, 11) and h is the height (in this case, 26)

Try plugging the values in. If you need additional help, feel free to ask!

Answer:

Exact Form:65/14

Mixed number Form:4 9/14

Step-by-step explanation:

Answer:

4 9/14

as an improper fraction: 65/14

hopefully this helped :3

Answer: B) 6

Step-by-step explanation:

First let's distribute the left side of the equation.

k - 16 + 4k = -2(2k -1) + 6k

Then let's combine like terms on the left side of the equation.

5k - 16 = -2(2k - 1) + 6k

Then let's distribute the right side of the equation.

5k - 16 = -4k + 2 + 6k

Then let's combine like terms on the right side of the equation.

5k - 16 = 2k + 2

Then let's move all the x's to one side, and all the constants to the other.

3k = 18

Then divide both sides of the equation by 3.

k = 6

Hope it helps <3

Answer:

6

Step-by-step explanation:

k - 16 + 4k = -2(2k -1) + 6k

5k - 16 = -2(2k - 1) + 6k

5k - 16 = -4k + 2 + 6k

5k - 16 = 2k + 2

3k = 18

k = 6

Answer:

1. Equal domain, range, interval of increase and lack of asymptotes

The difference is the difference in slope

2. Equal domain, range, no increase or decrease (constant value) and lack of asymptotes

The difference is the difference in the y-intercept

Step-by-step explanation:

1. The similarities between the functions, y = 5·x and y = 3·x are;

a. The domain of y = 5·x is the set of all real numbers and the range is (-∞; ∞)

b.There are no critical point and the interval of increase is (-∞; ∞)

There are no asymptotes the line crosses the origin

The x and y intercept are both zero

Similarly, The domain of y = 3·x is the set of all real numbers and the range is (-∞; ∞)

There are no critical point and the interval of increase is (-∞; ∞)

There are no asymptotes the line crosses the origin

The x and y intercept are both zero

The difference between the functions, y = 5·x and y = 3·x is that the slope of y = 5·x is 5 and the slope of y = 3·x is 3

2.

The similarities between the functions, y = 4 and y = (2)  are;

a. The domain of y = 4 is the set of all real numbers (-∞; ∞), [tex]\left \{ x\mid x\in R \right \}[/tex] and the range is {4}

b.There are no critical point and no interval of increase or decrease

There are no asymptotes the line does not cross the origin

There are no x-intercept and y intercept is (0, 4)

Similarly, the domain of y = (2) is the set of all real numbers (-∞; ∞), [tex]\left \{ x\mid x\in R \right \}[/tex] and the range is {2}

There are no critical point and no interval of increase or decrease

There are no asymptotes the line does not cross the origin

There are no x-intercept and y intercept is (0, 2)

The difference between the functions, y = 4 and y = (2) is that the y-intercept of y = 4 is 4 and  the y-intercept of y = (2) is 2

Answer:its from applications of trignometry

The distance between the two ships is 377.54 m.

Given that, two ships are located 200 m and 300 m respectively from a lighthouse and the angle formed by their paths to the lighthouse is 96°.

We need to find the distance between the two ships.

The cosine rule is c²=a²+b²-2abcosC

Now, c²=200²+300²-2×200×300cos96°

⇒c²=40000+90000-1,20,000×(-0.1045)

⇒c²=40000+90000+12,540

⇒c=377.54 m

Therefore, the distance between the two ships is 377.54 m.

To learn more about trigonometry application visit:

https://brainly.com/question/11687813.

#SPJ2

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Work Shown:

A = 2+i

O = -4, this is the letter 'oh' not to be confused with the number zero

P = -i

S = 2+4i

A-O+P+S = (2+i) - (-4) + (-i) + (2+4i)

A-O+P+S = (2+i)  + 4 + (-i) + (2+4i)

A-O+P+S = (2+4+2) + (i-i+4i)

A-O+P+S = 8+4i

A diamond coin? or a really fancy coin?

Answer:

the austraillian $2 coin

Step-by-step explanation:

A = old value = 3431

B = new value = 3732

C = percent change

C = [ (B-A)/A ] * 100%

C =  [ (3732-3431)/3431 ] * 100%

C = (301/3431) * 100%

C = 0.0877 * 100%

C = 8.77%

Note: if C was a negative value, then we'd have a percentage decrease

Answer: c

Step-by-step explanation:

Answer:

"The decimal number is just a shorthand way of writing a fraction with a denominator of one thousand. It means the very same thing as . But this is just the algorithm for dividing the numerator by the denominator to get the decimal digits ."

Step-by-step explanation:

This expression cannot be simplified, as you cannot add or subtract variables raised to different exponents.

Answer:

Step-by-step explanation:

6z⁶ - 21z⁴ - 12z² = 2*3*z⁶ - 3*7*z⁴ - 4*3*z²

                           = 3z² (2z⁴ - 7z² - 4)