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3 years ago

What consists of one endpoint and all the points on one side of the endpoint extends infinitely in one direction?

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

A ray, is a line that has one endpoint on one side and on the other side is an infinity amount of numbers

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consider the graph of the following qudratic equation. y= -x^2 -10x + 24.What is the y-value of the vertex?

3241004551 [841]

Given that the quadratic equation is $y=-x^{2}-10 x+24$

We need to determine the y - value of the vertex.

The x - value of the vertex:

The x - value of the vertex can be determined using the formula,

$x=-\frac{b}{2 a}$

where $a=-1, b=-10, c=24$

Substituting these values, we get;

$x=-\frac{(-10)}{2(-1)}$

Simplifying the terms, we get;

$x=-\frac{-10}{-2}$

$x=-5$

Thus, the x - value of the vertex is -5.

The y - value of the vertex:

The y - value of the vertex can be determined by substituting the x - value of the vertex ( x = -5) in the equation $y=-x^{2}-10 x+24$

Thus, we get;

$y=-(-5)^{2}-10(-5)+24$

Simplifying the values, we have;

$y=-25+50+24$

$y=49$

Thus, the y - value of the vertex is 49.

8 0

3 years ago

Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers

Vesna [10]

Answer:

726.572699

Step-by-step explanation:

According to differentials

(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)

Using this formula to solve (8.99)³, this can also be written as;

(8.99)³ = (9-0.01)³ where

x = 9

Δx = -0.01

Substitute this vales into the differential expression above

(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³

(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³ = 726.572699

Hence 8.99³ = 726.572699 (Using differential)

Using calculator;

8.99³ = 726.572699

4 0

3 years ago

Abel and Cedric will share a total of $180. Abel will receive half as much as Cedric. What amount. in dollars, will Cedric recei

babymother [125]

Answer:

Abel receives $60, and Cedric receives $120

Step-by-step explanation:

Let Abel's share = A

Let Cedric's share = C

we are given the following

A + C = 180 - - - - - (1) (Abel and Cedric will share a total of $180)

$A = \frac{C}{2}\ - - - - - - - (2)$ (Abel will receive half as much as Cedric. )

from equation 2:

$A = \frac{C}{2}\\ C = 2A\ - - - - - - (3)$

putting this value of C in eqn (3) into eqn (1)

A + (2A) = 180

3A = 180

∴ A = 180 ÷ 3 = 60

to find C, let us replace the value of A in eqn (3) with 60

C = 2A - - - - (3)

C = 2 × 60

C = 120

Therefore, Abel receives $60, and Cedric receives $120

5 0

3 years ago

X squared plus x y - 12 y squared

Licemer1 [7]

(x-4y) (x+3y)
Grouping :)

5 0

3 years ago

Help Don’t use for points and also be clear or I will take the points back

katen-ka-za [31]

Answer:

x=47°

Step-by-step explanation:

..,........................

7 0

3 years ago

Read 2 more answers