What are the features of the quadratic function ƒ(x) = (x – 3)(x + 7)?

Answer:

9 months

Step-by-step explanation:

1 quarter is 3 months

3 quarters is 3 times 1 quarter, so it is 3 times 3 months.

3 x 3 months = 9 months

Answer: 9 months

Step-by-step explanation:

No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.

Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.

Answer:

p = 20

Step-by-step explanation:

120 divided by 6 would = 20

Answer: p = 20

Step-by-step explanation:

120/6=20

6x20=120

Answer:

The graph of the cube root function is a continuous and smooth curve that starts at the point (0,0) and extends indefinitely in both the positive and negative directions on the x-axis. The graph increases as x increases from negative infinity to 0, and then decreases as x increases from 0 to positive infinity.

The graph has a vertical asymptote at x = 0, meaning that as x approaches 0 from either direction, the y-values of the points on the graph become very large. However, since the function is defined as the cube root of x, the function is not actually defined at x = 0, so the asymptote is not part of the graph.

The function is an odd function, which means that it is symmetrical about the y-axis. This means that if we were to reflect the part of the graph that is to the right of the y-axis over the y-axis, the resulting graph would exactly match the part of the graph that is to the left of the y-axis.

Overall, the graph of the cube root function is a smooth curve that starts at (0,0) and extends indefinitely in both directions on the x-axis, with a vertical asymptote at x = 0 and symmetry about the y-axis.

Answer:

the flag is 50 feet long and 160 feet wide

Answer: The width is 330 feet and the length is 790 feet.

Step-by-step explanation:

     We will write a system of equations to help us solve. Let w be the width and l be the length.

2w + 2l = 2,240 ft

l = 460 ft + w

     Now, we will solve for w, the width, by substituting one equation into the other.

2w + 2l = 2,240 ft,       l = 460 ft + w

2w + 2(460 ft + w) = 2,240 ft

2w + 920 ft + 2w = 2,240 ft

4w + 920 ft = 2,240 ft

4w = 1,320 ft

w = 330 ft

     The width is 330 feet.

     Now, we will solve for l, the length.

l = 460 ft + w,          w = 330 ft

l = 460 ft + 330 ft

l = 790 ft

     The length is 790 feet.

Answer:

Corresponding Parts of Congruent Triangles are Congruent.

ASA

Step-by-step explanation:

We know that <YPC and angle <YPX are congruent angles.  They are both 90°.

Side YP is congruent to YP, so these sides are congruent in both triangles.

<XYP and <YPZ are congruent, because the perpendicular bisector cuts <XYZ in two equal parts.

ASA (Angle, Side, Angle)

Molly has to walk for 16/x minutes where x is the speed of molly.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here molly needs to cross a river 16 feet then let her speed be x and t be the time taken to cross the river

Then we have x=16/t

                        t=16/x

Hence, Molly has to walk for 16/x minutes where x is the speed of molly.

Learn more about the speed of an object here:

https://brainly.com/question/28224010

#SPJ1

The actual length of the modeled truck is 20.4 feet.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A model diagram of a truck and each gridline represent 1 cm distance.

Now, To find the length of this model we'll count the number of gridlines horizontally from two endpoints of the truck which is 12 gridlines hence 12 cm.

Also given that 1 cm is equal to 1.7 feet.

Therefore, The actual length of the truck is (1.7×12) feet.

= 20.4 feet.

So, the length of the truck is 20.4 feet.

learn more about scale factors here :

https://brainly.com/question/29464385

#SPJ1

The volume of adrenaline you want is 0.25mL

From the question, we have the following parameters that can be used in our computation:

Amount to give = 250 mcg of adrenaline

Available = 1 mL of 1 : 1000 of adrenaline

The expression 1 mL of 1 : 1000 of adrenaline means that

1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)

So, we have

Available = 1 mL * 1000 microgram/mL

Evaluate

Available = 1000 micrograms

This can be expressed as

Available = 1000 mcg

So, we have

Amount to give = 250 mcg of adrenaline

Available = 1000 mcg of adrenaline

When converted to mL, we have

Available = 1 mL of 1 : 1000 of adrenaline

Divide by 4

Amount = 1 mL of 1/4 : 1000/4 of adrenaline

Evaluate

Amount = 1 mL of 1/4 : 250 of adrenaline

This implies that

Amount = 1 mL of 1/4

Evaluate

Amount = 0.25 mL

So, the amount is 0.25 mL

Read more about ratio at

https://brainly.com/question/1781657

#SPJ1

Answer:

It is 6.4*10^-2.

this is your answer

According to the information the amount of insurance would be $66,160, the amount of coverage for personal property would be $41,350, the amount of coverage for loss of use would be $16,540 and the amount of coverage for garage would be $8,270.

To calculate the amount of each insurance we have to take into account the main value ($82,700) and the percentage of each insurance. Then, we have to calculate every percentage value as shown.

Learn more about insurance in: https://brainly.com/question/27822778

#SPJ1

The correct way to represent this end behavior is,

x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

By observing the graph when x is approaching negative infinity y is approaching positive infinity.

And, when x is approaching positive infinity y is approaching negative infinity.

This can be symbolically expressed as,

x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.

learn more about the end behavior of a polynomial here :

https://brainly.com/question/29255299

#SPJ1

Answer:

5

Step-by-step explanation:

since the sides of parallelogram are parallel

then 3X+3 = 4X-2 (they are equal because they are alternating angles )

3X+3 = 4X-2 subtract 3X from both sides

3 = X-2. add 2 to both sides

X= 5

Answer:

x = 5

Step-by-step explanation:

As the diagonals of a parallelogram bisect each other (divide into two equal parts):

[tex]\implies 2x+1=x+6[/tex]

[tex]\implies 4x-2=3x+3[/tex]

Solve the first equation for x:

[tex]\implies 2x+1-1=x+6-1[/tex]

[tex]\implies 2x=x+5[/tex]

[tex]\implies 2x-x=x+5-x[/tex]

[tex]\implies x=5[/tex]

Solve the second equation for x:

[tex]\implies 4x-2+2=3x+3+2[/tex]

[tex]\implies 4x=3x+5[/tex]

[tex]\implies 4x-3x=3x+5-3x[/tex]

[tex]\implies x=5[/tex]

Therefore, the value of x that makes the quadrilateral a parallelogram is:

The radius of the circle with a circumference of 24π is 12 inches.

An equation shows how two or more numbers and variables are related to each other.

The circumference of a circle is the measure of the arc of the circle. It is given by:

Circumference (C) = 2π * radius

Given that the circumference is 24π, hence:

24π = 2π(radius)

Radius = 12 inches

The radius of the circle is 12 inches.

Find out more on equation at:https://brainly.com/question/2972832

#SPJ1

Answer:

There will be 5 roses.

Step-by-step explanation:

Let r = the number of roses.

Total cost =

numberof Roses × price per rose AND cost of vase

Total at Kingwood's

= 1r + 20

Total at Anita's

= 3r + 10

We are looking for r (the number of roses) when the totals at either place are the same.

Set them equal to each other.

1r + 20 = 3r + 10

Subtract 1r.

20 = 2r + 10

Subtract 10.

10 = 2r

Divide by 2.

10/2 = r

5 = r

When Elijah buys 5 roses, the cost is the same at either florist.

Check:

at Kingwood's

= 1r + 20

= 1(5) + 20

=25

At Anita's

= 3r + 10

= 3(5) + 10

= 15 + 10

= 25

5 roses costs $25 at either florist.

When one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.

4 sides, 4 corners, and 4 right angles make up the 2D shape of a rectangle. A rectangle's diagonal sides are equal in length, with one pair being longer than the other. A rectangle would be referred to as a square if all of its sides were the same size.

given

Allowing for a rectangular card that is x cm long and y cm broad

The perimeter of another rectangular tile is 2 cm broader and 4 cm shorter.

L+B = L+B -2 = 2(L + B)

= 2(L-4 + B+2) = 2(L + B)

= L+B = L+B -2

Therefore, when one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.

To know more about rectangle visit :-

https://brainly.com/question/29123947

#SPJ1

i hope this helped you xx

The wheel is spinning at 23.80 miles per hour

The wheel speed in miles per hour can be calculated using the expression below:

Speed in miles per hour = Wheels RPM × 2 × π × r × (60 / 63360),

where r is the radius of wheel , 60 converts minute to hour and 63360

converts inches to miles

Speed in miles per hour = 800 × 2 × π × 5 × (60 / 63360)

Speed in miles per hour = 23.80 miles per hour

Thus, the wheel spins at  23.80 miles per hour

Learn more graphs of speed in miles per hour on:

brainly.com/question/20374006

#SPJ1

The two congruent segments in the figure are LJ and LI.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration.

Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.

In the figure, the two segments marked are LI and LJ these two segments are congruent to each other.

Congruency means the shape and the size of the segments will be equal to each other.

Hence, the two congruent segments in the figure are LJ and LI.

To learn more about congruency visit,

brainly.com/question/2938476

#SPJ1

On solving the provided question we can say that the it will 4 hrs to walk all the way around the crater, on doing the radius.

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter

here,

D= 1

r = 1/2 = .5

A = 40

T = 40/10 4 hrs.

To know more about radius visit:

https://brainly.com/question/28946570

#SPJ1

Answer:

Step-by-step explanation:

[tex]\sf 37-\cfrac{48}{8}[/tex]

Divide numbers ( 48/8 = 6)

Subtract numbers:-

31 is your answer!

___________________

Hope this helps!

Have a great day!

[tex] \huge\pmb{\red{A}\pink{N}\orange{S}\blue{W}{E}\purple{R᭄}}[/tex]

[tex]\sf y = \frac{1}{4} \red{x} + 4[/tex]

[tex]\sf y = \frac{\red{x}}{4} + 4[/tex]

[tex]\sf y = \frac{\red {x}+4*4}{4}[/tex]

[tex]\sf y = \frac{\red {x}+16}{4} [/tex]

[tex]\sf y = \frac{\red {x}+16}{2^2}[/tex]

[tex]\sf 4y = \red {x}+16[/tex]

[tex]\sf 4y+(-16) = (\red x+16) + (−16)[/tex]

[tex]\sf 4y− 16 = \red{x }+ 16 − 16[/tex]

[tex]\sf 4y-16= \red x[/tex]

[tex]\boxed{ \sf\red{x} = 4y-16}[/tex]

_____________________....

[tex] \pmb{\color{purple}{LearningLifell}}[/tex]

Alright I got it.

So first what I did was I made an equation that match did the word problem.

The equation was 15x=250+10x

When I solved it the answer was 50.

so they would need to sell 50 Tshirts (x=50)

Answer:

-6.1625

Step-by-step explanation:

-1/4=-0.85

-3/4=-0.75

-0.85*8x=-6.8

-0.85*-0.75=0.6375

-6.8+0.6375=-6.1625

Answer:

19. Add

Step-by-step explanation:

10 - 7 =

13 - 10 =

16 - 13 =

16 + 3 =

Answer:

3/4

Step-by-step explanation:

4/8 can be simplified by dividing 2 from the numerator and denominator, which equals 2/4.

This turns the equation into 2/4 + 1/4, giving you a common denominator.

Answer:

Both B & C answers are correct

Step-by-step explanation:

To solve these two fractions, 1st you have to make both the numerator and the denominator the same.

For that, you can multiply both the numerator and the denominator of 1/4 by 2.

[tex]\sf\frac{4}{8} +\sf\frac{1}{4} \\\\\sf\frac{4}{8} +\sf\frac{1*2}{4*2}\\\\\sf\frac{4}{8} +\sf\frac{2}{8}\\\\\sf\frac{6}{8}[/tex]

To write the fraction in its simplest form, divide both sides by 2.

[tex]\sf\frac{3}{4}[/tex]

Answer:

  14

Step-by-step explanation:

You want to know the size of the universal set if ...

The given sets are mutually exclusive and exhaustive, so the sum of their sizes is the size of the universal set:

  n(u) = 3 + 4 + 7

  n(u) = 14

__

Additional comment

  (r'∩s') ∪ (r'∩s) = r'∩(s' ∪ s) = r' . . . . n(r') = 3

  (r∩s) ∪ (r∩s') = r∩(s ∪ s') = r . . . . . . n(r) = 4 +7 = 11

Then r' ∪ r = u, the universal set.  . . . . n(u) = 3 +11 = 14

On solving the provided question, we can say that - the value the exponent [tex]10^n\\[/tex] will be 100000

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where

from the given exponents we have

[tex]10^n[/tex]

where n = 5

so [tex]10^5 = 100000[/tex]

To know more about exponents visit:

https://brainly.com/question/3987569

#SPJ1