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4 years ago

Write an equation of the line that has a slope of 2 and goes through (4, -1).

Mathematics

1 answer:

maxonik [38]4 years ago

7 0

Answer:

y = 2x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (4, - 1) into the partial equation

- 1 = 8 + c ⇒ c = - 1 - 8 = - 9

y = 2x - 9 ← equation of line

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A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negat

VladimirAG [237]

Answer:

The correct option is A) {x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

Consider the provided diagram.

Here the left side represents the input (X) values and the right side represents the output (Y) values.

The domain refers to the set of possible input values.

Now consider the provided figure, the set of input value is:

{x | x = –5, –3, 1, 2, 6}

Hence, the correct option is A) {x | x = –5, –3, 1, 2, 6}

5 0

3 years ago

Read 2 more answers

Which lists these numbers in order from least to greatest? –14.6, 159, 1.07, –1.295, 24.6

Monica [59]

c is the answer because negative numbers have to go first

4 0

3 years ago

7. The largest of the Great Pyramids in Egypt was built with a square base,

strojnjashka [21]

Answer:

Difference between the original and current volumes = 4013140.30 cubic feet

Step-by-step explanation:

Largest pyramid has the square base with one edge = 754 feet

Area of the square base = (Side)²

= (754)²

= 568516 square feet

Volume of the pyramid = $\frac{1}{3}(\text{Area of the base})(\text{Height})$

= $\frac{1}{3}\times 568516\times 481$

= 91152065.3 cubic feet

After erosion,

Area of the base = (745)² = 555025 square feet

Volume of the pyramid = $\frac{1}{3}(555025)(471)$

= 87138925 cubic feet

Difference between the original and current volumes of the pyramid

= 91152065.30 - 87138925

= 4013140.30 cubic feet

5 0

4 years ago

If x - 2y + z = 5 and -x + 3y - z = 2, then y = ?

jok3333 [9.3K]

Answer:

y=10

Step-by-step explanation:

5 0

3 years ago

Find the value of x at which the function has a possible relative maximum or minimum point. (Recall that e Superscript x is pos

shutvik [7]

Answer:

x= -11/4 is a maximum.

Step-by-step explanation:

Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

$f'(x)= -e^{-4x}(11+4x)$

And then we get that if $11+4x = 0$ then $x = -11/4$ . So it has a critical point at $x = -11/4$ .

Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.

Since

$f''(x) = 8e^{-4x} (5+2x)\\f''(-11/4) = -239496.56$

x= -11/4 is a maximum.

6 0

4 years ago