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How many solutions doos the equation 4+4x - 3=4x +5 have?

Answer:

It is a reflection over the y-axis (D)

Step-by-step explanation:

Each corresponding point is equidistant from the y-axis and follows the rule (x,y) turns to (-x,y). For example the point (1,1) is mapped to (-1,1) and both points are 1 unit away from the y-axis so we know that one is the reflection of the other.

Answer:

reflection over y axis

Step-by-step explanation:

did it on usatestprep and made a 100

Step-by-step explanation:

Part A

A 3rd degree polynomial can have no more than 3 x-intercepts or zeros. Kelsey is correct. However, Ray stated it had 4 intercepts which can include 3 x-intercept and 1 y-intercept.

Graph the function g(x) = x3 − x2 − 4x + 4. See attached picture.

It has x-intercepts at (-2,0), (1,0) and (2,0). The y-intercept is (0,4). As x-> -∞ then y -> -∞. As x->∞, y->∞.

Part B

Use the quadratic function f(x) = -x^2 - 6x. The parabola faces downward with y -intercept (-3,9) and zeros (-6,0) and (0,0). See the attached graph.

The axis of symmetry will serve as a ladder through the coaster at x = -3.

Part C and D will use the math above to create the coaster and ad campaign.

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:

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Answer:

a) 60 degrees

Step-by-step explanation:

b) The triangle shown is an equilateral triangle as all the sides are the same. This means that all the angles are the same as well.

Angles in a triangle add up to 180 degrees. There are 3 angles. Each angle is 60 degrees.

Angle x is an exterior corresponding angle and hence, that is why x = 60 degrees.

Answer:

All of the measures of the interior angles of an equilateral triangle are 60°. Because x and 60° are alternate interior angles of parallel lines, this means that they are equal, therefore x = 60°.

Answer:

18

Step-by-step explanation:

Since, k + 9, 2k -1 and 2k + 7 are the consecutive terms of an A.P.

Therefore, their common differences would be same.

Hence,

(2k - 1) - (k + 9) = (2k + 7) - (2k - 1)

2k - 1 - k - 9 = 2k + 7 - 2k + 1

k - 10 = 8

k = 8 + 10

k = 18

Answer:

3rd option

Step-by-step explanation:

The ratio of 1:3 mean that one part is 1 to the other part being 3.

That means the total is 1 + 3 = 4.

1 part to 3 parts is the same as 1 part to a whole of 4 and 3 parts to a whole of 4.

Answer: 3rd option

Answer:

The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

Step-by-step explanation:

I like to call the numbers in the ratio 1 : 3 "ratio units".

That is, the short length is 1 ratio unit long, and the longer length is 3 ratio units long. The total (whole) length is 1+3 = 4 ratio units long. Then the short length (1 ratio unit) is 1/4 of the whole length (4 ratio units).

_____

Coment on the answer wording

I think you need to be careful with terminology. The word "part" has a different meaning in the first answer sentence "... part to part" than it does in the second answer sentence "... parts in the whole ...".

In the first sentence, it refers to "a piece of the line, no matter its length." In the second sentence, it refers to "that length of the line represented by 1 in the ratio."

Answer:

5/9

Step-by-step explanation:

There are 9 total combinations and 3 of them include a burger, 2 of them that have salad but not a burger. If you add them together it equals 5/9

The probability of selecting a combination that includes a burger or a salad is 5/9

Since the total of 6 outcomes include fries or fruit as the side dish.

There is a total of 9 possible meal combinations. A person must choose an Entree and a side dish.

The Entrees consist of burgers, tacos, and pizzas.

The side dishes consist of salad, fries, and fruit.

To find the number of combinations consisting of fries or fruit, we calculate the individual combinations.

With fries as side dish, which can choose a burger, a pizza or a taco as your Entree.

There are 3 combinations each, there are a total of 6 combinations with fruit or fries as the side dish.

There are 9 total combinations and 3 include a burger, rest 2 that have salad but not a burger.

then probability = 5/9

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Answer:

25 minutes

Step-by-step explanation:

10 ÷ 2 = 5

1 lap = 5 minutes

5/1 × 5 = 25

25 minutes

Hope this helped! :)

Answer:

25 minutes

Step-by-step explanation:

Let's set up a proportion using the following setup:

minutes/laps=minutes/laps

It takes 10 minutes to swim 2 laps.

10 minutes / 2 laps = minutes/laps

We don't know how long it will take to swim 5 laps. Therefore, we can say it takes x minutes to swim 5 laps.

10 minutes/ 2 laps= x minutes / 5 laps

10/2= x/5

We want to find out what x is. Therefore, we need to get x by itself.

x is being divided by 5. The inverse of division is multiplication. Multiply both sides by 5.

5*(10/2)=(x/5)*5

5*10/2=x

5*5=x

25=x

It takes 25 minutes to swim 5 laps.

Answer:

12 meters

Step-by-step explanation:

Draw a picture of the two pathways 30° apart.  Add a circle representing the illumination of the light on one of the pathways.  Draw a line from the center of the circle to the last point where it intersects the pathway without lights.

This forms a triangle.  One leg is x, the length of the pathway without lights.  Another leg is 5n, where n is an integer.  This represents how far the light is from where the pathways meet.  The third and final leg is 6, the radius of the illumination.

Use law of cosine to solve:

6² = x² + (5n)² − 2x(5n) cos 30°

36 = x² + 25n² − 5√3 xn

0 = x² − 5√3 xn + 25n² − 36

In order to have a solution, the discriminant must be greater than or equal to 0.

b² − 4ac ≥ 0

(-5√3 n)² − 4(1)(25n² − 36) ≥ 0

75n² − 100n² + 144 ≥ 0

144 − 25n² ≥ 0

144 ≥ 25n²

144/25 ≥ n²

12/5 ≥ n

So n must be an integer less than 12/5, or 2.4.  Therefore, the largest value of n is 2.  Substituting:

0 = x² − 5√3 x(2) + 25(2)² − 36

0 = x² − 10√3 x + 64

Solve with quadratic formula:

x = [ 10√3 ± √(300 − 4(1)(64)) ] / 2(1)

x = (10√3 ± √44) / 2

x = 5√3 ± √11

x ≈ 5.34 or 11.98

We want the larger value of x.  So approximately 12 meters of the pathway without lights is illuminated.

Answer:

PEMDAS DAT

Step-by-step explanation:

Answer:

4 AND 2

Step-by-step explanation:

Answer:

Hello!

______________________

This question is very easy.

2 + 2 = 4

1 + 1 = 2

Step-by-step explanation: Add.

Hope this helped you!

Answer: y=-5

Step-by-step explanation:

A horizontal line appears on the graph if it goes through the y-axis. Knowing this, the coordinate tells us that the y-coordinate is -5. This tells us that the equation of the line is y=-5.

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:

e.29 d.1

Step-by-step explanation:

we will replace with the values we have :

Answer:

x² + y² = 100

6² + 8² = 100

36 + 64 = 100

100 = 100

Because this is a true statement, the answer is yes, it does lie on the circle.

Answer:

115/5 23 so 20% =23 23x4 =92

Answer:

Step-by-step explanation:

y=4x^2-7

vertex(0,-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:

(-5, 8)

Step-by-step explanation:

Step 1: Multiply 2nd equation by -1

x + y = 3

-y = -8

Step 2: Elimination

x = -5

Step 3: Find y

y = 8

Answer:

The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.

Step-by-step explanation:

2n^2 sequence:

2,8,18,32,50,72

Answer:

Cada perro caliente cuesta 5,500 pesos y cada hamburguesa cuesta 7,000 pesos.

Step-by-step explanation:

Sea x el precio de los perros calientes y y el precio de las hamburguesas.

Escribiendo los datos de la primera familia en forma de ecuación tenemos:

[tex]4x+3y=43,000[/tex] (4 perros calientes y 3 hamburguesas cuestan 43,000 pesos)

Escribiendo los datos de la segunda familia:

[tex]5x+y=34500[/tex] (5 perros calientes y 1 hamburguesa cuestan 34,500 pesos)

Vamos a resolver este sistema de ecuaciones por el método de suma y resta:

[tex]4x+3y=43,000\\5x+y= 34,500[/tex]

Multiplicando la segunda ecuación por -3 y sumando ambas tenemos:

[tex]4x+3y=43,000\\-15x-3y= -103,500\\\\-11x=-60,500\\x=-60,500/-11\\x= 5,500[/tex]

Por lo tanto, un perro caliente cuesta 5,500 pesos.

Ahora sustituimos este valor en nuestra segunda ecuación para encontrar el precio de las hamburguesas:

[tex]5x+y=34500\\5(5,500)+y=34,500\\27,500 +y=34,500\\y=34,500-27,500\\y=7,000[/tex]

Por lo tanto, las hamburguesas cuestan 7,000 pesos cada una

Answer:

hope u will understand it....

Answer:

Hello!

___________________

A)Factor x^2 - 12x + 32 using the AC method. ( x - 8 ) ( x - 4)

B) Factor x^2 - 14x + 48 using the AC method. ( x - 8) ( x - 6)

C) Factor x^2 - 3x + 2 using the AC method. ( x - 2) ( x - 1)

Step-by-step explanation: Always factor by x^2 while using the AC method.

Hope this helped you! :D

Answer:

p = 3

Step-by-step explanation:

We have a right triangle with both legs equal, whose hypotenuse is 3 times the root of 2.

We know both legs are equal because we have identical opposite angles in this right rectangle.

If we apply the Pythagorean theorem, we obtain:

[tex]p^2+p^2=(3\sqrt{2})^2=9\cdot 2=18\\\\2p^2=18\\\\p^2=18/2=9\\\\p=\sqrt{9}\\\\p=3[/tex]

Answer:

x=-20 or x=68

Step-by-step explanation:

you can either make it so 47 remains the largest number and so take 67 from 47 (=-20) or you can leave 1 as the smallest number and add 67 to 1 (=68)

Answer:

t = 5 years

online readership will exceed physical sales in 5 years

Step-by-step explanation:

The number of physical readership can be represented by the equation;

P(t) = 120 - 6t

The number of Online readership can be represented by the equation;

K(t) = 60 + 8t

For online readership to exceed physical sales

K(t) > P(t)

60 + 8t > 120 - 6t

Collecting the like terms;

8t+6t > 120-60

14t>60

t > 60/14

t > 4.29

To the nearest year greater than 4.29.

t = 5 years

online readership will exceed physical sales in 5 years

Answer:

Step-by-step explanation:

Area of a trapezoid = 1/2(a + b) × h

where

h is the height

a and b are the other sides

From the question

h = 3 feet

a = 5 feet

b = 7 feet

Area = 1/2(5+7) × 3

= 1/2 ( 12) × 3

= 6 × 3

The answer is

= 18

Hope this helps you.

I know you don't need this anymore but for the ones who do this is the answer.........Look at the graph and trust it. Yes, I know it says to substitute and you can following the last page on part a) Doing what they do in the tables and it will get you the same answer as if you'd just look at the graph.

The answer for the y- value at x=p IS 8. and the answer for the y-value at x=p+k IS 5. So go ahead and write that down if you haven't already!

For step2 Find the difference between the endpoints of the interval on the y-axis. The answer to your question, Is and always will be 3! The difference is 3 because you subtract 3 from 8 and you get 5.

If you didn't read clearer, I'll write it for you again, The length interval is K, it is the length between p and p+k.

For the following questions, does your answer to step 2 depend on p, well I suppose. This is why....The answer does depend on p because we are dealing with a slope. if you move up or down the slope it will not be the same.

For the question..... Is the difference between the y-values the same regardless of where the interval starts? The answer is yes!!! And No!!! But WRITE YES! Why? Because if the interval moves as a whole the difference between the y-values is the same! Try it for yourself. Move K back two x-values and the difference for the y-values will be the same, IT WILL STILL BE THREE.

Hope you understood!

And for part one the answer on part c (-2). It depends on K.

Answer:

Step-by-step explanation:

Q = 7m + 3n,

R = 11 - 2m,

S = n + 5,

T = -m - 3n + 8.

Q + S - T = 7m + 3n + (n + 5) - (-m - 3n + 8)

Q + S - T = 7m + 3n + n + 5 + m + 3n - 8

Q + S - T = 8m + 7n - 3

Answer:

5/18

Step-by-step explanation:

Let's say the original packaging was 1 lb of packaging for $1.

The cost was $1/lb.

Then the weight went down by 10% and the price went up by 15%.

Now 0.9 lb of packaging cost $1.15.

The new unit cost is $1.15/(0.9 lb)

The difference is

$1.15/(0.9 lb) - $1/lb =

= $1.15/(0.9 lb) - $0.9/(0.9 lb)

= $0.25/(0.9 lb)

=$25/(90 lb) = $5/(18 lb)

The price went up by 5/18.

Answer:

Step-by-step explanation:

the simple interest formula= principal* interest rate*time

simple interest : 100000*%2*2 years

simple interest= 4000 dollars

compound quarterly : A=principal(1+r/4)^t

since it is quarterly and have 4 quarters in a year, and 8 in two years.

compound quarterly: 100000(1+0.03/4)^8=106159.88

it is better to invest with compound interest because it add 6159 dollars in two years to the investment of 100000 dollars.

the difference between the interest: 6159.88-4000=2159.88