Here are two sums
2/7 + 1/4 5/6 - 1/4
A В
Which of the two sums is closer in value to 1/2
You must show your working and state clearly whether the answer is A or b

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

A quadratic function is represented as:

[tex]y = a(x - h)^2 + k[/tex]

The vertex of the quadratic function is given as:

[tex](h,k) = (0,6)[/tex]

So, we have:

[tex]y = a(x - 0)^2 + 6[/tex]

This gives:

[tex]y = ax^2 + 6[/tex]

The quadratic function passes through (-1,-2).

So, we have:

[tex]-2 = a(-1)^2 + 6[/tex]

[tex]-2 = a + 6[/tex]

Subtract 6 from both sides

[tex]a = -8[/tex]

Substitute -8 for a in [tex]y = ax^2 + 6[/tex]

[tex]y = -8x^2 + 6[/tex]

Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

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Answer:

A.

Step-by-step explanation:

The inequality matches the given statement  3n-5>2/3n.

An inequality is a relationship between two different quantities or expressions.

An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is b equal to

"Five less than three times a number is greater than two-thirds of that number.

3n-5>2/3n

Hence, the inequality matches the given statement  3n-5>2/3n.

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Answer:

[tex]y>2[/tex]

[tex]\{y\in \mathbb{R}|y>2\}[/tex]

The interval notation is: [tex](2, \infty)[/tex]

Step-by-step explanation:

[tex]7+6y>19[/tex]

[tex]6y>12[/tex]

[tex]y>2[/tex]

Answer:

a.) 4/6

Step-by-step explanation:

3/5 = .6

4/6 = .666666666667

6/12= 0.5

3/8= .375

4/10= .4

Answer: 4/6

Step-by-step explanation:

IT IS THE BIGGEST. :)

Answer:

1. 135 2. 16.875

Step-by-step explanation:

1. 5 x 4.5 x 6 = 135

2. 2.5 x 2.25 x 3 = 16.875

Answer:

4.5 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r where r is the radius

28.3 = 2 * (3.14) *r

28.3 = 6.28 r

Divide each side by 6.28

28.3/6.28 = r

4.506369427=r

The approximate length of the radius is 4.5 cm

Integers*?

Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.

Answer:

3

Step-by-step explanation:

To find f(3) we just need to plug in 3 wherever we see an n

f(3) = f(3 - 2) + f(3 - 1)

f(3) = f(1) + f(2)

Since f(1) and f(2) are given, we can plug in the respective values

f(3) = f(1) + f(2) → f(3) = 1 + 2 = 3

Answer:

3

Step-by-step explanation:

I just did it on Khan

Answer:

Original

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2= 9

4= 64

64-9=55

If you subtract that

You will get 55

Answer:

the correct answer is 27.5

Step-by-step explanation:

Answer:

X = Y - 11873.21

X = 17009.1 feet

Step-by-step explanation:

Let x represent the elevation of Mt. Wilson. And

Y = Mt snow Crest.

Since Snow Crest is 11,873.21 feet higher than Mt. Wilson, the equation will be

X = Y - 11873.21

Where Y = 28,882.31

Substitute Y into the equation

X = 28882.31 - 11873.21

X = 17009.1 feet.

Answer:

Step-by-step explanation:

reference angle=(14 π)/11-π=(14-11)π/11=3π/11

All in the attachment :)

and don't complain about my drawing skills ;)

Answer:  An infinite number

We're given angles adding to 180 degrees, so we can generate as many similar triangles with these angles as we like.  They'll all have the same shape but different sizes.

Answer:

1

Step-by-step explanation:

Answer:

w+5=7

Step-by-step explanation:

Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³

The interval over which the function f(x) is negative is (-infinity, -4) .

Given,

The values of f(x) for corresponding x .

Here,

From the table,

x = -8 ; f(x) = -16

x = -6 ; f(x) = -8

Thus from the data given in the table it is clear that the function f(x) will be negative if we decrease the value of x .

Thus f(x) will be negative for the values which are smaller than -8 .

Now,

When

x = -4 ; f(x) = 0

x = -2 ; f(x) = 8

Thus f(x) changes its sign at x = -4.

So,

Interval in which f(x)  will be negative : (-infinity, -4) .

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Answer: B

Step-by-step explanation:

Answer:

3 is the answer. lol lol

Answer:

3

Step-by-step explanation:

The difference of x and 3

Difference means subtract, so we subtract 3 from x

x-3

14 subtracted from

14 is subtracted from the difference of x and 3, so

(x-3)-14

Therefore, the correct choice is 3: (x-3)-14

Answer:

B: (2,2)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

4.4 ft

Step-by-step explanation:

The sides of a right triangle are "tied together" mathematically by an equation called the Pythagorean theorem, which says: in any right triangle, the relationship between the two sides that make the right angle (we'll call them a and b) and the side across from it (c) is

[tex]a^2+b^2=c^2[/tex]

Let's sustitute these for the values we have in our problem (measured in feet)

[tex]9^2+a^2=10^2\\81+a^2=100\\a^2=19\\a=\sqrt{19}[/tex]

19 is between the perfect squares [tex]4^2=16[/tex] and [tex]5^2=25[/tex], so [tex]\sqrt{19}[/tex] must be between 4 and 5, a little bit closer to 4. Punching the expression into the calculator confirms this with a value of [tex]\sqrt{19}\approx4.3588[/tex] which we can round to 4.4 ft.

Answer:

The product of 21 and 18

Step-by-step explanation:

When you multiply the word is product

The product of 21 and 18

Answer:

the answer is H

Step-by-step explanation:

Answer:

-.01

Step-by-step explanation:

X - Y + Z

2.3 - (-1.6) + (-4)

2.3 + 1.6 - 4

-0.1

I hope this is helpful!!!!!!! :)

Answer:

-0.1

Hope this helped :)

Answer:

48

Step-by-step explanation:

Split it into 2 right triangles flip one around and you have a rectangle who's area is equal to 10x6.

a=6

c=2

b=?

Solve for b:

Answer:

D. y = -2x + 20

Step-by-step explanation:

first, plot these points on a linear graph.

work down from the top:

A. y = 2x + 5

look at the last number first, this means the line will cross over the y axis (vertical line) at + 5. draw a point on + 5

y = 2x + 5

From this point (+5), the 2x means that for every 1 square you move across (to the right), you will go up 2. This will make the second point of the line. connect the dots. (see picture 1 below)

B. y = 2x - 6

the last number means the first point will be on -6 on the y axis.

y = 2x - 6

the 2x means that every 1 square you go across (to the right) from that point, you will move up 2

C. y = 2x

as there is no second number, this line will cross through the center of the graph. the 2 means that for every 1 square you move across from that point, you will move up 2

D. y = -2x + 20

the +20 means this line will cross the y axis and + 20, the -2 means that for every 1 square you move across to the right, you move DOWN 2.

this is the only line that moves down from left to right

Answer:

1.

The amount of time could be related to the battery charge by equation:

y = ax + b

a = 16% per 30 min = 32% per hour

b = 10%

=> y = 32x + 10

2.

In term of charging time, the rate of charging is 32% per hour

Answer:

B

Step-by-step explanation:

B cause

Answer:The Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n

Step-by-step explanation:

The given Arithmetic sequence: −10, −13, −16, …

Theory : For arithmetic sequence : a, a+d,a+2d......a+(n-1)d

Formula for summation is given as Sn =

Where, a=  First term of sequence = (-10) and d= difference of any two consecutive terms = (a+d)-(a) = (-13)-(-10)= (-3)

Putting values in Summation formula

Sn =

Sn =

Sn =

Sn =

Thus, Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n

Answer:

C 12

Step-by-step explanation:

16 × 6 ÷ 8 = 12

check answer: 24 × 12 ÷ 16 = 18