The product of two and a number increased by nine is seventeen

The completed table using this function rule is,

Input    (x)    1    4    5   7

Output (y)    2   11   14   26

Function rule is the rule of writing the relationship between the two variables, one is dependent and another is independent.

The table given in the problem is;

Input    (x)    1    4    5   7

Output (y)

Thus we need to write such a function, which gives the value of (y).

y=3x-1

Complete the table using the above function rule;

At (x) equal to 1,

y=3x-1

y=3(1)-1

y = 2

At (x) equal to 4,

y=3x-1

y=3(4)-1

y = 11

At (x) equal to 5,

y=3x-1

y=3(5)-1

y = 14

At (x) equal to 7,

y=3x-1

y=3(7)-1

y = 26

Hence,  the completed table is,

Input    (x)    1    4    5   7

Output (y)    2   11   14   26

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The standard form of the quadratic function is- y = 2x² + 12x + 7

Here, we are given-

Vertex coordinate = (-3, -11)

Point on the graph = (0, 7)

The vertex form of a quadratic equation is given as-

y = a(x - h)² + k

Where h, k are the coordinates of the vertex.

a is the letter in general form of quadratic equation which is-

y = ax² + bx + c

Thus, here, h = -3, k = -11, x = 0 and y = 7

Substituting these values in the vertex form we get-

7 = a(0 - (-3))² - 11

⇒ 7 + 11 = 9a

9a = 18

a = 18/9

a = 2

Thus, the standard form of the quadratic equation can be calculated as-

y = 2(x - (-3))² - 11

y = 2x² + 12x + 18 - 11

y = 2x² + 12x + 7

Thus, the standard form of the quadratic function is- y = 2x² + 12x + 7

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The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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Answer:

The answer is 233

hope this helps you

The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

Answer:

here is ur answer

Step-by-step explanation:

as u know that u have 98 apple and u gave ur frnds 50

now u have to subtract 50 frm 98

98

50 -

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48 ( ans)

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Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

Answer:

it ius literally 2

Step-by-step explanation:

Answer:

21!

Step-by-step explanation: JK If you are fr 2

Answer:

15 miles

Step-by-step explanation:

if its 1/3 of an hour then every 1/3 of an hour would be 5 miles and 2/3 would be 10 so add the 1/3 and 2/3 you would have 15

The linear cost function is C(x) = 15x + 3250 and the cost function in marginal cost: $15; 150 items cost $5500 to produce is $ 5500 .

Let C(x) is that the total value, and x is that the range of things.

The slope "m" is named the cost and "b" is named the charge.

The value of m is $15 and the price of "x" is 150.

Total cost of 150 items are $5500

Substitute all the values within the equation (1) , we get

   5500 = 15 (150) + b

    5500 = 2250 + b

    3250 = b

Hence , linear cost function is given by C(x) = 15x + 3250

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The value of s - t is 2.

It is given in the question that:-

s = 1/4 and,

t = -1.75

We can convert the decimal form of t in the fractional form.

-1(3/4) = -7/4

Hence, according to the data given in the question we can write,

s - t = (1/4)-(-7/4) = (1+7)/4 = 8/4 = 2.

Decimal

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

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Answer:

Let's say you sold some goods to a customer. If the customer is not satisfied with the goods and returns it back to you, then it is called sales return.

Upon performing polynomial long division, we find that the width is (x - 7). So, the dimensions of the rectangle are length (x - 5) and width (x - 7).

Given that the area of a rectangle is equal to its length multiplied by its width, we can set up the equation as follows:

Area = Length × Width

In this case, the area is given as (x^2 - 12x + 35), and the length is (x - 5). We are asked to find the width.

So, we can rewrite the equation as:

(x^2 - 12x + 35) = (x - 5) × Width

To find the width, we need to divide the area by the length:

Width = (x^2 - 12x + 35) ÷ (x - 5)

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Answer:

For a square of side length L, the perimeter is:

P = 4*L

Then if the perimeter of our square is 36 units, we have:

36 units = 4*L

(36 units)/4 = L = 9 units.

Now we know that one vertex of the square is located at (3, 5)

Then another vertex of the square can be at:

A distance of 9 units of this point (such that these vertices are connected by one side of the square)

Some examples can be:

(3 + 9, 5) = (12, 5)

or

(3, 5 + 9) = (3, 14)

These are the simpler options, there are a lot of other possible points that can be another vertes (we can have a circle of radius 9 units centered in the point (3, 5), all these points can be another vertex of the square).

We also can have a vertex that is connected by the diagonal, this point can be:

(3 + 9, 5 + 9) = (12, 14)

or

(3 - 9, 5 - 9) = (-6, -4)

Again, there are a lot of other possible points that can be this vertex (A circle of radius √2*9 units centered in the point (3, 5)).

Answer:

B(-3, -8)

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

5.5

Step-by-step explanation:

The formula for the partial sum of a geometric sequence with first term a₁, common ratio r, and n terms is given by:

Sₙ = a₁(1 - rⁿ)/(1 - r)

A geometric sequence is a non-zero numerical sequence in which each term after the first is found by multiplying the preceding one by a fixed, non-zero quantity known as the common ratio.

In the formula, Sₙ is the sum of the first n terms of the sequence.

Alternatively, the formula can be expressed as:

Sₙ = (a₁(rⁿ - 1))/(r - 1)

Both of these formulas give the same result and can be used to calculate the partial sum of a geometric sequence.

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Answer:

44.49 repeated

Step-by-step explanation:

Sorry for the wait

Answer:

.44%

Step-by-step explanation:

just divide

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

f(x) = x² for x < 0

5 for 0 ≤ x < 2

x/2 for x ≥ 2

Step 02:

functions:

we must analyze the graph to find the solution.

graph:

The domain is reflected on the x-axis and the range is reflected on the y-axis

domain:

(-oo, 0) U [0 , 2) U [2 , oo)

intercept(s):

(0 , 5)

range:

(0, oo)

That is the full solution.

The angle between the planes is the same as the angle between their normal vectors, which are

n₁ = ⟨1, 1, 1⟩

n₂ = ⟨4, 3, 1⟩

The angle θ between the vectors is such that

⟨1, 1, 1⟩ • ⟨4, 3, 1⟩ = ||⟨1, 1, 1⟩|| ||⟨4, 3, 1⟩|| cos(θ)

Solve for cos(θ) :

4 + 3 + 1 = √(1² + 1² + 1²) √(4² + 3² + 1²) cos(θ)

8 = √3 √26 cos(θ)

cos(θ) = 8/√78

Answer:

90%

Step-by-step explanation:

72/80=0.9 so as a percentage that would be 90%

Answer:

those criteria define a square or a rhombus

Step-by-step explanation:

if there was another fact about the angle measures, for example if it said all my angles are equal then it would be a square, not a rhombus

The coordinates of the image are -2P

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

Ry = -2(P)

To calculate the coordinate of the image, we simply open the bracket

So, we have

Ry = -2(P)

Solving further, the equation can be represented as

Ry = -2 * P

Evaluate the product

So, we have the following representation

Ry = -2P

Hence, the image has an coordinate or ordered pair of -2P

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Answer: 30

Step-by-step explanation:

Since this is a right triangle, the pythagorean theorem says

\(x^2 + 16^2 = 34^2\)

So if you rearrange for \(x\) you get

\(x = \sqrt{34^2 - 16^2} = \boxed{30}\).

Answer:

1.97497

Step-by-step explanation:

Using my calculator, I just put in log(94.4).

Answer:

what's the question? it could be both