The graph of y = x2 + 11x + 24 is equivalent to the graph of which equation?

y = (x + 8)(x + 3)
y = (x + 4)(x + 6)
y = (x + 9)(x + 2)
y = (x + 7)(x + 4)

Answer:

Option A

Step-by-step explanation:

From the question given in the picture attached,

Directrix of the parabola → y = 2

Focus of the parabola → (-5, 0)

Since, focus is below the directrix, parabola will open open downwards.

Equation of the parabola will be in the form of,

y - k = -4p(x - h)²

Here, (h, k) is the vertex of the parabola

p = Distance between vertex and focus or distance between vertex and directrix

Since, distance between vertex and focus = Distance between vertex and directrix

Therefore, vertex of the parabola → (-5, 1)

Now distance (p) between vertex (-5, 0) and focus (-5, 1) = 1 unit

By substituting these values in the equation,

y - 1 = -4(1)[x - (-5)]²

y - 1 = -4(x + 5)²

y = -4(x + 5)² + 1

Option A will be the answer.

Answer:

n ≥ -5/14

Step-by-step explanation:

64n - 6 ≥ 36n -16

subtract 36n from each side

64n -36n - 6 ≥ 36n-36n -16

28n - 6 ≥  -16

add 6 to each side

28n -6+6 ≥  -16+6

28n ≥ -10

Divide each side by 28

28n/28 ≥ -10/28

n ≥ -5/14

Answer:

n ≥ -5/14

Step-by-step explanation:

64n - 6 ≥ 36n -16

subtract 36n from each side

64n -36n - 6 ≥ 36n-36n -16

28n - 6 ≥  -16

add 6 to each side

28n -6+6 ≥  -16+6

28n ≥ -10

Divide each side by 28

28n/28 ≥ -10/28

n ≥ -5/14

Answer:

The answer is c

Step-by-step explanation:

because it is equal to the fraction above

Answer:

43.98

Step-by-step explanation:

The circumference of a circle with a radius of 7 units is approximately 43.98 units, which corresponds to option A.

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

Given that the radius of the circle is 7 units, we can substitute this value into the formula:

To find the circumference of a circle, we can use the formula C = 2πr, where C represents the circumference and r represents the radius.

C = 2π(7) = 14π

Use the approximation π ≈ 3.14:

C ≈ 14(3.14) = 43.96

Rounding this value to the nearest hundredth, we get approximately 43.98 units.

Therefore, the circumference of a circle with a radius of 7 units is approximately 43.98 units.

Learn more about the Circumference of the circle here:

brainly.com/question/19794723

#SPJ7

Answer:

3=6

4=8

5=10

6=12

graph 1

Step-by-step explanation:

Answer:

Anything below 14.7

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

(5,5) is a point (I reckon it is from the screenshot you sent at least)

(0,-5) is a point

-5 - 5 = -10

0 - 5 = -5

-10/-5

Slope = 2x

Answer:

Two Possible Points:

5,5 and 6,7

7 - 5         2

____ = _____ = your slope is 2

6 - 5          1

When picking two points subtract the y(rise) from eachother first which will be your numerator and the x(run) from eachother in the same exact way you subtracted to the y which will be your denominator.

Answer:

6:55 p.m

Step-by-step explanation:

Hour connects with hour therefore, 5 + 1 = 6

Minutes connects with minutes thus, 10 + 45 = 55

Hence it being 6:55 p.m when the movie finishes if it starts at 5:10 p.m.

Answer:

Solid A

Step-by-step explanation:

3 feet is 3 x 12 = 36 inches, which is less than 48 inches, so solid A has a larger surface area than solid B.

Answer:

3 erasers.

Step-by-step explanation:

Let p = pencils and e = erasers. Since we know that Jensen has $4, we can set up the following inequality and solve for e.

0.70p + 0.50e ≤ 4

0.70(3) + 0.50e ≤ 4

2.10 + 0.50e ≤ 4

0.50e ≤ 1.90

e ≤ 3.8

Since erasers are usually bought as whole items, the maximum amount of erasers Jensen can buy is 3.

Answer:

12 pi mm

Step-by-step explanation:

formula : circumfrence =  2 pi r

so pi * 2*6 mm = 12 pi mm

Answer:

Step-by-step explanation:

its (-1,-6)

this is your answer

Answer:

Step-by-step explanation:

a). Points on a number line are,

    x = -7, 1

    Number of small blocks between x = -7 and 1 is 8.

    Distance = 8

b). Difference between two points x = -7, 1 will be,

    1 - (-7) = 1 + 7

               = 8

    -7 - 1 = -8

c). Absolute value of each difference,

    |1 - (-7)| = 1 + 7

                = 8

    |-7 - 1| = |-8|

              = 8

Answers:

b = -10

c = 25

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

Explanation:

If x = 5 is the only solution then (x-5) is the only factor. Turns out we have repeated solutions and repeated factors. Meaning (x-5)(x-5) = (x-5)^2 is what we're after.

Expand that out to get

(x-5)^2

x^2 - 5x - 5x + 25

x^2 - 10x + 25

Then compare this to x^2 + bx + c to find

b = -10

c = 25

If you were to solve x^2-10x+25 = 0, you'll find that x = 5 is the only root.

Answer:

50 cups

Step-by-step explanation:

ratio of water to juice = 10 : 6 = 5 : 3

amount of cup = (5 x 30) / 3 = 50

Answer:

4  Hope that helped

Answer:

37.5 meters

Step-by-step explanation:

depth of well : hours of digging

it dug to a point of -50 Meters in one day

= 50 meters : 24 hours

After 18 hours at how many meters would the rig

Let

x = depth that will be rigged

depth of well : hours of digging

= x meters : 18 hours

Equate the ratios

50 meters : 24 hours = x meters : 18 hours

50/24 = x/18

50 * 18 = 24 * x

900 = 24x

x = 900/24

x = 37.5

x = depth that will be rigged = 37.5 meters

Answer:

Pie charts

Step-by-step explanation:

A Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Answer:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Step-by-step explanation:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Answer:

D

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{6}[/tex] ( multiply both sides by 6 )

6 × cos40° = x , then

x ≈ 4.6 ( to 1 dec. place ) → D

Answer:

Coordinates of the image point → (-2, 9)

Step-by-step explanation:

If a point (x, y) is translated by 'h' units left and 'k' units up then the rule for the translation will be,

(x, y) → (x - h, y + k)

Rule for the translation of a point (2, 7) by shifting 4 units left and 2 units up will be,

(2, 7) → (2 - 4, 7 + 2)

        → (-2, 9)

Coordinates of the image point → (-2, 9)

Answer:

[tex]\frac{5\pi }{2}\:ft[/tex] (Option D)

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Lets say an arc subtends ∠θ at the center of the circle whose radius is 'r'.

[tex]=> Length \; of \; the \; arc = \theta \times \frac{\pi r}{180}[/tex]

SOLUTION :-

Length of the arc = [tex]\theta \times \frac{\pi r}{180} = 90 \times \frac{5\pi }{180} =\frac{5\pi }{2}[/tex]

Answer:

i think its b) 7 feet

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

I think what they are asking is to subtract the 3 tokens from 21 tokens he already has giving us 18. and since it says "Twice the number of tokens" I'm assuming you divide 2 from 18 giving you 9 tokens.

Answer:

9 divided by 21

Step-by-step explanation:

17

Answer:

Step-by-step explanation:

6 no

1.angle 2=92 degree(being vertically opposite angle)

2.angle 1+33+92=180(sum of interior angles of a triangle)

angle 1+125=180

angle 1=180-125

angle 1=55

3.angle 3+angle 2+115+90=360(sum of four angles is always 360 degree)

angle 3+92+205=360

angle 3+297=360

angle 3=360-297

angle 3=63

Answer:

36

Step-by-step explanation:

12 x 3 = 36

good job guys ik math is hard sometimes