( 4,?)Is on the line y=2×+3. find the other half of the coordinate

Answers

Answer 1

Answer: (4, ?). Let ? = b

(4, b) on line y = 2x + 3

x =4, y = b.

y = 2x + 3

b = 2*4 + 3

b = 8 + 3

b = 11.

The other half of coordinate is 11.

Answer 2

Answer: You do y=2x(4)+3
that equals 11
so the coordinate is (4,11)

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The number of grocery items on two grocery lists differs by 7. the total number of items is 33. How many items are on each list?

Answers

Answer:

There are 20 items on one grocery list and 13 items on second grocery list.

Step-by-step explanation:

We are given that there are two grocery list and one of the grocery list have seven things less than the other grocery list.

Let x be the number of items on one grocery list.

Then, by the given information, there are x -7 items on the second grocery list.

The total number of items on both the list are 33.

Then, according to the question,

$x + (x-7) = 33\n2x - 7 = 33\n2x = 40\nx = 20$

Thus, there are 20 items on one grocery list and (20 -7) = 13 items on second grocery list.

x+ x+7=33
2x+7=33
2x=26
x=13
x+7=20
13+20=33

one list has 13 items, the other list has 20 items

ANSWER ASAP PLEASE! What is the equation of a parabola in standard form given the directrix is y = 3 and the focus is (3,-3)?(x - _ )^2 = _y

Answers

Answer: (x - 3)^2 = -24(y + 3)

Step-by-step explanation:

To find the equation of the parabola in standard form, we can use the formula (x - h)^2 = 4p(y - k), where (h, k) is the vertex and p is the distance between the vertex and the focus.

Given that the directrix is y = 3 and the focus is (3, -3), we can see that the parabola opens downward.

The focus is (h, k + p) = (3, -3) and the directrix is y = k - p = 3. By comparing the y-coordinates, we can find p.

-3 = 3 + p

p = -6

Substituting the values into the formula, we get:

(x - 3)^2 = 4(-6)(y - (-3))

So, the equation of the parabola in standard form is (x - 3)^2 = -24(y + 3).

How do you convert y=-x-3 to standard form?

Answers

Answer:

x + y = - 3

Step-by-step explanation:

The equation for standard form is Ax + By = C. Since there is an invisible 1 in front of both x and y, you can easily solve the problem by subtracting -1x from both sides to get 1x + 1y = -3 or x + y = -3

If g(x)= 5-x^2 what's g(g(x))

Answers

g(x) = 5 - x^2
g(g(x)) = 5 - (5 - x^2)^2
g(g(x)) = 5 - (5 - x^2)(5 - x^2)
g(g(x))= 5 - (25 - 10x^2 + x^4)
g(g(x))= -x^4 + 10x^2 - 20

What is APR=(1+i/12)^t-1

Answers

The given formula is the Effective Annual Percentage rate formula where i signifies the nominal interest in terms of month. This formula is used in converting nominal interest rate to an effective interest rate since nominal interest rates are hard to compare unless their period are on the same basis.

Which sequence is modeled by the graph below?coordinate plane showing the points 2, 1; 3, 2; 4, 4; and 5, 8

an = one half(2)n − 1
an = 2(2)n − 1
an = 4(−2)n − 1
an = 2(one half)n − 1

Answers

First, we inspect what type of sequence is the order of the coordinates:
a2 = 1
a3 = 2
a4 = 4

Getting the difference,
a3 - a2 = 1
a4 - a3 = 2

The differences are not equal; hence, the sequence is not arithmetic.

Getting the ratio:
a3/a2 = 2
a4/a3 = 2

The common ratio is 2. Using the general form for a geometric series:
an = a1 r^(n-1)
If n = 2
1 = a1 (2)^(2-1)
a1 = 1/2

So,
an = (1/2) (2)^(n-1)

The answer is the first option.

Answer:

an = one half(2)n − 1

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