You can solve the equation 3x + 3 = x + 5 by graphing y = 3x + 3 and y = x + 5 and finding their point of intersection. Use the drop-down menu to complete the statement below.

The solution of 3x + 3 = x + 5 is:
A. 6
B.1
C.(1,6)
D. (6,1)

Answer:

-46 -35 -10 y -7 7 8   13 35  x

Step-by-step explanation:

Answer:

0.857142857 yards

Step-by-step explanation:

Answer:

(See explanation for further details).

Step-by-step explanation:

The sign does not affect the domain, as second-order polynomials are continuous functions. Nonetheless, the sign affect the range of function in the sense that elements can be lesser and equal to zero (a < 0) or greater and equal to zero (a > 0).

The sign of 'a' in the function f(x) = ax2 affects the direction the parabola opens, influencing the range of the function, either [0, ∞) for a positive 'a' or (-∞, 0] for a negative 'a'. The domain, which is always (-∞, ∞), isn't affected by 'a's sign.

In mathematics, the function f(x) = ax2 is a quadratic function where 'a' is the coefficient of x2. The sign of 'a' determines whether the parabola opens upward or downward. When 'a' is positive, the parabola opens upward hence making the range of the function [0, ∞) because the lowest point (vertex) is on the x-axis and it extends to positive infinity. If 'a' is negative, the parabola opens downward, and the range becomes (-∞, 0] as the highest point is on the x-axis and it extends to negative infinity.

The domain of f(x) = ax2 does not depend on the 'a' value; it is always all real numbers because x can be any real number regardless of the value of 'a'. Therefore, the domain is always (-∞, ∞).

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Answer:

The answer is B

Step-by-step explanation:

Answer:

114 degrees

Step-by-step explanation:

Answer: 37,800

Step-by-step explanation: 35x90x12= 37,800

Final answer:

The barge, which is shaped like a rectangular prism and measures 90 feet in length, 35 feet in width, and 12 feet in depth, can hold up to 37,800 cubic feet of wheat.

Explanation:

To determine the volume of wheat that a rectangular prism-shaped barge can hold, we use the formula for the volume of a rectangular prism: Volume = length × width × height. Given that the barge is 90 feet long, 35 feet wide, and 12 feet deep, we calculate the volume as follows:

Volume = 90 feet × 35 feet × 12 feet

Volume = 37,800 cubic feet

Therefore, the barge can hold up to 37,800 cubic feet of wheat.

Answer:

-2 5/9

Step-by-step explanation:

-5/9 - 4/3 - 2/3 =

-5/9 - 2 =

-2 5/9

If it's on the Cartesian plane, you find the difference between the x coordinates (let's call that value a), and you find the difference between the y coordinates (let's call that value b)

You square a and b, and add them together (to get [tex]a^2 + b^2[/tex])

You find the square root of the sum you attained and get:

[tex]\sqrt{a^2 + b^2}[/tex]= EF

Answer:

No.

Step-by-step explanation:

Given inequality:

[tex]$5h>-15; h=-5$[/tex]

[tex]5(-5)>-15\\-15>-15[/tex]

-15 is not greater than -15, it is equal.

If the inequality symbol were [tex]\leq or \geq[/tex], it would be true.

The length of side XY in the triangle is 10 units

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

a) Using Pythagoras theorem:

XY² = 8² + 6²

XY = 10

b) sin(X) = 8/10

c) cos(X) = 6/10

d) tanX = 8/6

The length of side XY in the triangle is 10 units

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Answer:

Kim can make 4 cakes.

Step-by-step explanation:

since you can't sell half a cake and it takes 2 hours for her to make a cake she can only make 4 cakes on an average day. hope this helps good luck in the future

Answer:

10.25 (10 1/4)

Step-by-step explanation:

1 1/2 = 1.5

Monday through Friday = 5 days.

1.5 hours of homework times 5 = 7.5

2 3/4 = 2.75 (his homework over the weekend)

7.5 plus 2.75 = 10.25

John would have 10.25, or 10 1/4 hours in a week.

Final answer:

John has 10.25 hours of homework in a week by calculating his daily homework hours and weekend hours.

Explanation:

To calculate the total amount of homework John has in a week:

John has 1 ½ hours of homework each day from Monday through Friday, totaling 1.5 hours/day x 5 days = 7.5 hours.

John has 2 ¾ hours over the weekend, which is 2.75 hours.

Adding the weekday and weekend hours together, John has a total of 7.5 hours + 2.75 hours = 10.25 hours of homework in a week.

In a function/relation no x value can be repeated twice. -20 and -15 can be values that can complete the table because those x values haven't been mentioned in the function at all. -5 cannot be a value that can be used in the function becuase thats an x-value thats already stated in the function.

Therefore, the answer is -5

Best of Luck!

Answer:

- the value of 3.915 is the initial number of water lilies

- it is approximately 4, which matches the data

- the value 1.106 is the growth rate

- the rate represents growth for each day

- the percentage growth each day is 10.6%

The value of 3.915 is the initial number of water lilies and the value of 1.106 is the growth rate.

A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.

We have a regression line:

y = 3.915(1.106)×

Plug x = 0

y = 3.915

The value of 3.915 is the initial number of water lilies

The value of 1.106 is the growth rate and the rate represents growth for each day.

Thus, the value of 3.915 is the initial number of water lilies and the value of 1.106 is the growth rate.

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The number of people who receive Nicholas's chain letter can be modeled by an exponential growth function. Every 12 weeks, the number of people who have received the letter can be calculated by the formula P(t) = P0(1 + 0.99)^t, where P0 is the initial number of people, and t is the time in weeks.

The number of people who receive Nicholas's chain letter is represented by the function P(t) = P0(1 + r)^t, where P0 is the initial number of people, r is the rate of increase (expressed as a decimal), and t is the time in weeks. In this case, r is equal to 99%, or 0.99. So every 12 weeks, the number of people who have received the letter can be modeled as P(t) = P0(1 + 0.99)^t. This is an example of an exponential growth function, which is often used in real-world scenarios where the rate of something increases rapidly, such as interest in a bank account or population growth.

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Answer:

45/136 or 0.3309

Step-by-step explanation:

Total = 10 + 7 = 17

10/17 × 9/16

= 45/136

Or 0.3308823529

Final answer:

To determine the probability of drawing two gold coins in a row from a velvet bag containing 10 gold coins and 7 silver coins without replacement, we multiply the probability of drawing a gold coin on the first and second draw, which is 45/136.

Explanation:

The question involves calculating the probability of drawing two gold coins in succession from a bag containing 10 gold coins and 7 silver coins, without replacement. First, we calculate the probability of drawing one gold coin on the first draw. With 10 gold coins out of a total of 17 coins, this probability is 10/17. After drawing one gold coin, there are now 9 gold coins left out of 16 total coins. The probability of drawing a second gold coin, given the first was already drawn and not replaced, is 9/16. To find the overall probability of both events happening, we multiply the probabilities of each independent event: (10/17) * (9/16) = 90/272. Simplifying this, we get the final probability as 45/136.

Converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

Step-by-step explanation:

We need to convert angle measure of 55.45 to DMS notation

DMS notation is Degree Minute and seconds

Solving:

We have 55.45, the value before decimal is considered as degrees and values after decimal can be minutes and seconds.

We can write it as 55 and 0.45

So, we have 55 degrees

To find minutes we will multiply 0.45 by 60

0.45*60 = 27 minutes

Since we have no decimal value in minutes so seconds will be 0

So, DMS will be 55 degrees 27 minutes 0 seconds

Hence converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

Answer:

Zack earned £125, Jack earned £75, and Sasha earned £50

Step-by-step explanation:

Considering the number of leaflets delivered

Zack 50%, Jack 30% and Sasha 20%

Total delivered = 50 + 30 + 20 = 100%

If they earn £250 on the 100% delivery, then each will have as shown below

Zack = (50/100)*250

= 5*25

= £125

Jack = (30/100)*250

= 3*25

= £75

Sasha = (20/100)*250

=2*25

= £50

Answer:

£125, £75 and £50

Step-by-step explanation:

Zack delivered 50%

Therefore, Zack earned

50% of £250

50/100 x £250

0.5 x 250

£125

Zack earned £125

Jack delivered 30%, therefore

Jack earned

30% of £250

0.3 x £250

£75

Jack earned £75

Sasha delivered 20%

Therefore, Sasha earned 20% of £250

20/100 x £250

0.2 x £250

£50

Sasha earned £50

Zack + jack + Sasha = £250

£125 + £75 + £50 = £250

63 feet

Explanation: if you do 87 squared subtracted by 60 squared you get 63 squared and if you square root that you get 63

Answer:

63 feet

Step-by-step explanation:

Answer: fraction = 11/12 or  decimal = 0.91

Answer:

The distance between ring and coin is 13 units apart.

Step-by-step explanation:

[tex] \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } [/tex]

Using this formula, you are able to find the distance between the ring and the old coin :

Let (x1,y1) be (10,19),

Let (x2,y2) be (5,7),

D = √(10-5)²+(19-7)²

= √5²+12²

= √25+144

= √169

= 13 units

Answer: 13 units

Step-by-step explanation:

Let (x1,y1) be (10,19),

Let (x2,y2) be (5,7),

D = √(10-5)²+(19-7)²

= √5²+12²

= √25+144

= √169

= 13 units

Answer:

7. yes, obtuse

8. no triangle

Step-by-step explanation:

7.

3, 7, 9

Do these side lengths form a triangle?

Add the two smaller numbers: 3 + 7 = 10

Since 10 is greater than 9, these three side lengths do form a triangle.

Now we qualify the triangle.

c^2 ? a^2 + b^2

The ? is there because we don';t know yet if it will be =, >, or <.

9^2 ? 3^2 + 7^2

81 ? 9 + 49

81 ? 58

Since 81 is greater than 58, now we know to use >.

81 > 58

Since c^2 is greater than a^ + b^2, the triangle is obtuse.

Answer: Yes these side lengths form a triangle, and the triangle is obtuse.

8.

4, 11, 16

Add the two small lengths: 4 + 11 = 15

Since 15 < 16, these three side lengths do not form a triangle.

Answer: no triangle

Answer:

200 (?)

Step-by-step explanation:

If 320 is divied by 40, you get 8.

If 1600 is divided by 8, you get 200

im like 90% sure sorry

Answer:

13

Step-by-step explanation:

5+4+3+1=13

we got that from the sum of the number of runners in the different mile distances for the runners.

Answer:

The mileage was recorded for 13 runners.

1) slope = -1

2) slope = -1

Answer:

K = -2J+ 28

That is the equation for the line.

Answer:

the solution to the problem is that Frannie listened to  1/6 of her entire music collection while on vacation.

Step-by-step explanation:

Fraction of the music collection on the MP3 player: 1/3

​

Fraction of the music on the MP3 player listened to: 1/2

​

Fraction of the entire music collection listened to: 1/6

​

Frannie listened to [tex]\(\frac{1}{6}\)[/tex] of her music collection while on vacation.

To solve this problem, we need to calculate the fraction of Frannie's total music collection that she listened to on vacation.

Firstly, Frannie put [tex]\(\frac{1}{3}\)[/tex] of her music collection onto her mp3 player. This means that the music on the mp3 player represents [tex]\(\frac{1}{3}\)[/tex] of the whole collection.

While on vacation, she listened to [tex]\(\frac{1}{2}\)[/tex] of the music on the player. So, she listened to [tex]\(\frac{1}{2}\) of \(\frac{1}{3}\)[/tex] of her total collection.

To find out how much of the entire collection this is, we multiply the two fractions together:

[tex]\[ \frac{1}{2} \times \frac{1}{3} = \frac{1}{6} \][/tex]

This multiplication is justified because she listened to half of a third of her collection, which is the same as saying she listened to a sixth of her collection.

Therefore, Frannie listened to [tex]\(\frac{1}{6}\)[/tex] of her music collection while on vacation."

Answer:

C

Step-by-step explanation:

because 15*2x=30x and 15*y= 15y and since they are adding in the parentises you add again 30x*15y

Answer:

monomial

Step-by-step explanation: