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2 years ago

Which graph represents the function p(x) = |x - 1|

Mathematics

1 answer:

pashok25 [27]2 years ago

4 0

See

y=|x| is the parent function and p(x) is the translated version of it

y=|x|

It has vertex at (0,0)

Now

as x is decreased then change in x axis is happened .vertex will shift 1 units right

So vertex should be at (1,0)

No change in y

Graph D is correct

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Identify the number that is 9.5 units from 2 on a number line

dusya [7]

There are two such numbers.

One of them is 2 + 9.5 = 11.5.

The other one is 2 - 9.5 = -7.5.

_____

If we consider "9.5 units from 2" to be 9.5 units in the positive direction, then the appropriate choice is 11.5.

6 0

3 years ago

Suppose a soccer goalie punted the ball in such a way as to kick the ball as far as possible down the field. The height of the b

Alexxx [7]

Answer:

57.98 yards

Step-by-step explanation:

When the ball is on the ground, the height is $y=0$ , therefore:

$y=-0.017x^2+0.98x+0.33$

$0=-0.017x^2+0.98x+0.33$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-0.98\pm\sqrt{0.98^2-4(-0.017)(0.33)}}{2(-0.017)}$

$x_1=57.98184919$

$x_2=-0.3347903693$

Since distance cannot be negative, the ball landed 57.98 yards down the field from where the goalie kicked the ball.

8 0

2 years ago

Solve the system of equations algebraically:<br><br> 2x - y = -1<br> 3x + y = 6

Sindrei [870]

Using substitution method
from the first equ
2x+y=-1
y= -1-2x --------(3)
put equ 3 into equ 2
3x -1-2x=6
3x-2x=6+1
x =7
put x+7 into equ 1
2(7) + y = -1
14 + Y =-1
y= -1-14
y=-15
so
x=7 and y=-15<span />

7 0

3 years ago

It was 8 degrees below

Lunna [17]

Answer:

12 degrees

Step-by-step explanation:

8 below zero is -8.

20+ -8 = 12

4 0

3 years ago

Find the degree and determine whether the polynomial is a monomial binomial, or a trinomial. <br> 8y

Contact [7]

The degree of the polynomial, 8y give. and the it is a monomial.

<h3>What is a Polynomial?</h3>

A polynomial is an algebraic expression which may be of varying degrees or number of terms.

According to the question;

The expression given is; 8y.

Since, the highest degree of the variable, y is one; we can conclude that the polynomial is of degree one.

Additionally, since there's only one term in the polynomial, we can conclude it is a monomial.