Graph the line with the equation y = 1/2x+3​

The Answer Is 3a^2 3b^2 3c^2

Since all the variables equal each other, you may pick one variable to copy in the equation.

[tex] {a}^{2} + a^{2} + {a}^{2} = 3 {a}^{2} [/tex]

And since they're the same numbers, squaring a will have no effect in the equation.

Answer:

C

Step-by-step explanation:

because you have to foil then do -b/2a

By finding the x-coordinate of each vertex, we will see that the correct options are C and E.

For a quadratic equation of the form:

y = (x - a)*(x - b)

Where a and b are the roots, such that a < b, the x-value of the vertex is given by:

a + (b - a)/2

With that, we can check the x-value of the vertex of each option.

A) y=(x-2)(x-4)

The x-value of the vertex is:

2 + (4 - 2)/2 = 3

B)  y=(x-2)(x+2)

The x-value of the vertex is:

-2+ (2 - (-2))/2 = 0

C)  y=(x-1)(x-3)

The x-value of the vertex is:

1 + (3 - 1)/2 = 2

D) y = x(x+4) = (x - 0)*(x + 4)

The x-value of the vertex is:

-4 + (0 - (-4))/2 = -2

E)  y=x(x-4) = (x - 0)*(x - 4)

The x-value of the vertex is:

4 + (0 - (4))/2 = 2

So the two options that have a vertex with x-coordinate 2 are options C and E.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

Answer:

each friend will get 26 stickers

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

1/25

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

probability of choosing a can of tomato and a can of cheese soup = probability of choosing a can of tomato x probability of choosing a can of cheese soup

total number of cans = 2 + 3 +2 + 2 + 1 = 10

probability of choosing a can of tomato = number of can of tomato / total number of cans

= 2/10 = 1/5

probability of choosing a can of cheese soup = number of can of cheese soup / total number of cans

= 2/10 = 1/5

1/5 x 1/5 = 1/25

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

Explanation:

The circumference is a special term to mean the perimeter of a circle, or the distance around the circle. Think of a very long rope you can wrap around the circle. Unwinding that rope to make it lay straight can then lead to help measure out the perimeter of the circle when using a straight measuring device (eg: ruler). You can also think of flexible cloth ruler tape that is used to make clothing, and to measure things like height, when thinking about measuring the perimeter of a figure with curves to it.

In this case, the perimeter of the circle is 628 feet. The formula to find the circumference (C) given a radius (r) is shown below

C = 2*pi*r

where pi = 3.14 approximately. We can use a bit of algebra to find the radius r when we are given the circumference C = 628

So,

C = 2*pi*r

628 = 2*3.14*r

628 = 6.28*r

6.28r = 628

r = 628/6.28

r = 100

The radius is 100 feet. Keep in mind that this is an approximate value considering that pi = 3.14 is approximate.

Now we're told that the boat is moving 4 ft per second along the radius. We'll use the distance = rate*time formula to find out how long it will take us to go from the edge fo the center.

distance = rate*time

100 ft = (4 ft per sec)*(x seconds)

100 = 4x

4x = 100

x = 100/4

x = 25

It takes about 25 seconds for the boat to go from the edge to the center of the pond.

Again, this is an approximation due to pi = 3.14 being an approximation.

Answer:

25 seconds

Step-by-step explanation:

the first step is to find the radius of the pond, as that is the distance from the outside of the circle to the center, the same path the boat is taking. the formula for the circumference of a circle is 2pi(r)= circumference, where r represents the radius. to solve for the radius instead of the circumference, we can format the equation as r= circumference/2pi, because to isolate the radius on the left side of the equation you must divide by 2pi on both sides. we know the circumference is equal to 628, so the equation filled out is r= 628/2pi. firstly, 2*pi is 6.28, using 3.14 as pi. 628/6.28 is 100, so the radius is 100 feet.

next, we know the boat is travelling 4 feet per second. since the path it is travelling is 100 feet long, we must divide 100 by 4. 100 ft divided by 4 ft per second leaves us with 25, so it will take the boat 25 seconds to reach the center of the pond.

hope this helps!

Answer:

The first one

Step-by-step explanation:

3/5 and 9/25

Answer:

y=-7 and x=-3

Step-by-step explanation:

Answer:

Y =-7 and X -3

Solution:

4x-2y=2

2(2x-y)=2⋅1

2x-y=1

and y+4=x

∴y-x=-4

Suppose,

2x-y=1→(1)

and -x+y=-4→(2)

Taking equation (1), we have

2x-y=1

⇒y=2x-1→(3)

Putting y=2x-1 in equation (2), we get

-x+y=-4

-x+(2x-1)=-4

⇒-x+2x-1=-4

⇒x-1=-4

⇒x=-4+1

⇒x=-3

⇒x=-3→(4)

Now, Putting x=-3 in equation (3), we get

y=2x-1

⇒y=2(-3)-1

⇒y=-6-1

⇒y=-7

∴y=-7andx=-3

Answer: Third degree polynomials are also known as cubic polynomials. Cubics have these characteristics: One to three roots. Two or zero extrema.

HOPE THIS HELPS

Please brainliest

Answer:

When Kiran is 13, his aunt will be 28.

When Kiran's aunt is 60, he will be 45.

Step-by-step explanation:

Hope this helps!

Answer:

a) 28 (kiran's aunt when kiran is 13)

b) 45 (kiran when kiran's aunt is 60)

Step-by-step explanation:

first

let kiran's age be k

kiran's aunt= 15 + k

when kiran is 13, kiran's aunt is 15+13

15+13= 28

when kiran's aunt is 60;

15+k = kiran's age

60 = 15+ k

k = 60-15

k = 45

Answer:

3

Step-by-step explanation:

reading it from left to right, the dash on the far left is the minimum value :)

Answer:

3

Step-by-step explanation:

on a box plot, the lowest number the box plot reaches is the minimum.

Answer:

the answer is d just check by ordinary way

Answer:

The final answer is 55/8 or the first option.

Step-by-step explanation:

Example equation: a·b/c. To solve this you need to first do a·c and add b to it. For example, you have 5 pizzas and one extra pizza with 2 slices. Each pizza has 8 slices. In all, you have the amount of slices in the 5 whole pizzas + the amount of slices in the partially eaten pizza. Hence, you have (5 whole pizzas · 8 slices in each pizza)+2 slices. This gives you 40+2, or 42 slices in all. The final answer is 42/8.

The same concept applies here. You have 6 whole pizzas with 8 slices in each pizza, + 1 partially eaten pizza that has 7 slices. The expression is (6 whole pizzas · 8 slices in each pizza)+7 slices. This gives you 48+7 or 55 slices in all. The final answer is 55/8 or the first option.

I hope this helped :))

Answer: QPR

Step-by-step explanation:

Angle A is congruent to angle Q

Angle B is congruent to angle P

Angle C is congruent to angle R

Therefore, triangle ABC is congruent to triangle QPR

The complete exercise with the answer options is as follows:

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust            364

Thick crust             240

Stuffed crust             176

Pan style            260

Based on this information, of the next 3000 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

692 thick crust pizzas

Step-by-step explanation:

With the data given in the exercise, we must first find the total number of pizzas, then we must find the proportion between the thick crust pizzas and the total number of pizzas, finally we must propose a rule of three to find the new proportion of crust pizzas thick on a total of 3000 pizzas.

Type of Crust Number Sold

Thin crust            364

Thick crust             240

Stuffed crust             176

Pan style            260

total pizzas  : 1040

Now we must calculate for 3000 pizzas how much would be the total of thick crust pizzas.For that we must use the relationship found, that is, in 1040 pizzas there are 240 thick crust pizzas

1040→240

3000→x

x= [tex]\frac{3000x240}{1040}[/tex] = 692

Now we have a new proportion that out of 3000 pizzas there are a total of 692 thick crust pizzas

Answer:

x = 2

Step-by-step explanation:

9x^2 * x^3 = 32

x^5 = 32

x^5 = 2^5

x=2

Answer:

The sum of the slam dunks made in the junior league is 1,000 slam dunks

Step-by-step explanation:

The known parameters are;

The average number of slam dunks between the sophomore basketball league members, μ₁ = 20

The average number of slam dunks between the sophomore and junior basketball league members, μ₃ = 30

The number of members of the sophomore league, n₁ = 40

The number of members of the junior league, n₂ = 20

We get;

The sum of the scores of the sophomore league members, S₁ = μ₁ × n₁

∴ S = 20 × 40 = 800

The sum of the scores of the sophomore and junior league members combined, S₃ = (n₁ + n₂) × μ₃

∴ S₃ = (40 + 20) × 30 = 1,800

The sum of the slam dunks made by the junior league members, S₂ = S₃ - S₂

∴ S₂ = 1,800 - 800 = 1,000

∴ The sum of the slam dunks made in the junior league, S₃ = 1,000

Answer:

m∠XCY = 60°

Step-by-step explanation:

From the figure attached,

Circle has been given with the inscribed angles ∠XWY and ∠XCY formed by the same arc XY.

By the property of the inscribed angles,

"Measure of the inscribed angle formed by the same arc are equal"

m∠XWY ≅ m∠XCY

60x = 61x - 1

61x - 60x = 1

x = 1

Therefore, m∠XCY = 61x - 1

                                = 61(1) - 1

                                = 60°  

Answer:

Number of people in the suburbs= 39,766

Step-by-step explanation:

Giving the following information:

22,521 more people are living in the suburbs of a city than in the city.

Number of people in the city= 17,245

To calculate the number of people that lives in the suburbs, we need to use the following formula:

Number of people in the suburbs= Number of people in the city + 22,521

Number of people in the suburbs= 17,245 + 22,521

Number of people in the suburbs= 39,766

Answer:

268.08

Step-by-step explanation:

V = [tex]\frac{4}{3}[/tex] π r³

Answer:

lower than Amanda:  816 students

Step-by-step explanation:

An equivalent way in which to state this problem is:  Find the area under the standard normal curve to the left (below) 940.

Most modern calculators have built in distribution functions.

In this case I entered the single command   normalcdf(-1000,940, 850, 100)

and obtained 0.816.

In this particular situation, this means that 0.816(1000 students) scored lower than Amanda:  816 students.

Answer:

Answer:

12.997

Step-by-step explanation:

this is the answer but i don't understand the rest of this question :

. Which equation can you use to find the radius?

2,122.64 = 4pie r

2,122.64 = 4pier²

2,122.64 = 4(pier)2

2,122.64 = (4pier)2

hope this helps

Answer: 10

She cant be the same age as him or older because hes 3/2 older

Answer:

An arithmetic sequence is a sequence such that the difference between two consecutive terms is a constant, and we can call it d.

Then the general recursive relation is:

Aₙ = Aₙ₋₁ + d.

And the sum of the first N terms of this sequence is given by:

S(N) = (N/2)*(2*A₁ + (N - 1)*d)

Where A₁ is the first term of the sequence.

In this case, we have:

A₁ = -4910

Aₙ = Aₙ₋₁ + 8

Then we have: d = 8

(it actually says:

ai = -4910

ai = Ai-1 +8

But that has no actual meaning, so I assumed that the first one was actually the first term of the sequence)

The sum of the first 575 terms of this sequence is given by:

S(575) = (575/2)*(2*(-4910) + (575 - 1)*8) = -1,503,050

Answer:

7 x 6 = 42

7 + 6 = 13

Step-by-step explanation:

Math

Answer: The answer is 24

Step-by-step explanation: because it's the same line and it's only telling you half of the line so you just double it

Answer: -6.3 lb after 3.5 hours

Step-by-step explanation:

-1 (4)/(5) = -9/5 = -1.8

0.5hr = -0.9

1hr = -1.8

2hr=-3.6

3hr=-5.4

3.5hr = -6.3

Answer:

5 inches³

Step-by-step explanation:

2½ ÷ 5 = ½ (Length of the equal sized cube)

½×2 = 1 (width)

½ × 4 = 2 (height)

Volume of the right rectangular prism = L × W × H

2½ × 1 × 2 = 5 inches³

Answer:

you didnt attach anything

Step-by-step explanation:

Answer:

what percent of interest does Jerry have?