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2 years ago

Identify which values are solutions of 4x-7>=-1

Mathematics

1 answer:

Mrrafil [7]2 years ago

5 0

Answer:

x=1.5

x=1 1/2

Step-by-step explanation:

4x-7>-1

add 7 to both sides

4x=6

divide by 4 on both sides

x=1.5

x=1 1/2

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What is the equation of the parabola?

Neporo4naja [7]

Answer:

y = -1/8 x² + 5

Step-by-step explanation:

Parabola opens vertically and vertex (h,k) = (0,5), pass point (4,3)

basic formula: y = a(x - h)² + k

y = a (x-0)² + 5

y = ax² + 5 pass (4,3)

3 = 16a + 5

a = (3-5)/16 = -1/8

equation: y = -1/8 x² + 5

check: pass another point (-4,3)

-1/8 * (-4)² + 5 = -2 + 5 = 3

5 0

3 years ago

Reuben bought 5CDS that were each the same priceIncluding sales tax, he paid a total of \$81.50. Each CD had a tax of $0.60. wha

Liula [17]

Answer:

The price of each CD before tax is $15.70

Step-by-step explanation:

Given that:

Number of CDs bought by Reuben = 5

Cost of five CDs = $81.50

Sales tax on each CD = $0.60

Sales tax on 5 CDs = 0.60*5 = $3.00

Price of CDs without tax = 81.50 - 3.00 = $78.50

Price of each CD = $\frac{Cost\ of\ CDs}{No.\ of\ CDs}$

Price of each CD = $\frac{78.50}{5}$

Price of each CD = $15.70

Hence,

The price of each CD before sales tax is $15.70

7 0

2 years ago

17) The total cost to produce x units of paint is C(x) = (5x + 3)(7x + 4). Find the marginal

Bad White [126]

Answer:

17) MC(x) = 35 − 12/x²

18) R(x) = -0.05x² + 80x

Step-by-step explanation:

17) The marginal average cost function (MC) is the derivative of the average cost function (AC).

AC(x) = C(x) / x

MC(x) = d/dx AC(x)

First, find the average cost function:

AC(x) = C(x) / x

AC(x) = (5x + 3)(7x + 4) / x

AC(x) = (35x² + 41x + 12) / x

AC(x) = 35x + 41 + 12/x

Now find the marginal average cost function:

MC(x) = d/dx AC(x)

MC(x) = 35 − 12/x²

18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:

m = (40 − 50) / (800 − 600)

m = -0.05

Use point-slope form to find the equation of the line:

p(x) − 50 = -0.05 (x − 600)

p(x) − 50 = -0.05x + 30

p(x) = -0.05x + 80

The revenue is the product of price and demand:

R(x) = x p(x)

R(x) = x (-0.05x + 80)

R(x) = -0.05x² + 80x

7 0

3 years ago

Use the pythagorean theorem to find the distance between from A(5, -3) to B (6,0)

Orlov [11]

C. 3.16 is the right answer

Step-by-step explanation:

The distance formula used in coordinate geometry is derived from the Pythagorean theorem.

The distance formula is give by:

$d=\sqrt{(x_2-x_2)^2+(y_2-y_1)^2}$

Here (x1,y1) are the coordinates of first point and (y1,y2) are the coordinates of second point

Here,

(x1,y1) = (5,-3)

(x2,y2) = (6,0)

Putting the values in the formula

$AB = \sqrt{(6-5)^2+(0-(-3))^2}\\=\sqrt{(1)^2+(0+3)^2}\\=\sqrt{(1)^2+(3)^2}\\=\sqrt{1+9}\\=\sqrt{10}\\=3.16\ units$

The distance between two points is 3.16 units.

Hence,

C. 3.16 is the right answer

Keywords: Coordinate geometry, Pythagorean Theorem

Learn more about Pythagorean theorem at:

#LearnwithBrainly

8 0

3 years ago

Factor completely 2x3y4 − 8x2y3 + 6xy2. 2(x3y4 − 4x2y3 + 3xy2) 2x(x2y4 − 4xy3 + 3y2) 2xy2(x2y2 − 4xy + 3) Prime

Julli [10]

Answer:

The factorised term is:

$2xy^2(x^2y^2-4xy+3)$

Step-by-step explanation:

We are asked to factor the algebraic expression given as:

$2x^3y^4-8x^2y^3+6xy^2$

Now we will take out the variable which is common among all the terms and write the remaining expression in parantheses.

As $2xy^2$ is common among all the terms hence we write this term out of the parantheses and the remaining term inside it as to obtain then simplified expression as:

$2xy^2(x^2y^2-4xy+3)$

3 0

3 years ago