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zlopas [31]
2 years ago
16

On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (0, 1) and goes up through (negati

ve 4, 3) with an arrow instead of an endpoint. The second line has a closed circle at (0, negative 2) and goes up through (2, 2) with an arrow instead of an endpoint.
Which piecewise function is shown in the graph?
f(x) = StartLayout enlarged left-brace 1st Row 1st column negative 0.5 x + 1, 2nd column x less-than 0 2nd row 1st column 2 x minus 2, 2nd column x greater-than-or-equal-to 0 EndLayout
f(x) = StartLayout enlarged left-brace 1st Row 1st column negative x + 1, 2nd column x less-than 0 2nd row 1st column 0.5 x minus 2, 2nd column x greater-than 0 EndLayout
f(x) = StartLayout enlarged left-brace 1st Row 1st column x minus 1, 2nd column x less-than-or-equal-to 0 2nd row 1st column 2 x minus 2, 2nd column x greater-than 0 EndLayout
f(x) = StartLayout enlarged left-brace 1st Row 1st column negative 0.5 x minus 1, 2nd column x less-than-or-equal-to 0 2nd row 1st column 2 x minus 2, 2nd column x greater-than-or-equal-to 0 EndLayout
Mathematics
2 answers:
aivan3 [116]2 years ago
6 0

Answer:c

Step-by-step explanation:

egoroff_w [7]2 years ago
4 0

Answer:

It was actually A on edgen.  

Step-by-step explanation:

Guest
1 year ago
CORRECT!
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Lincoln Middle School has a total of $200 to spend on notebooks and tablets for the school board meeting. Notebooks cost $7 each
Anton [14]
The school can buy fifteen notebooks and nineteen tablets.  15X7=105 and 5X19=95.  95+105=200.  The first thing you want to do is realize that 5Xanything will give you an answer that has a 0 or a five at the end, so you want to find a product by 7 that ends with a 0 or 5 too.
4 0
2 years ago
Explain why there are two sine ratios, two cosine ratios, and two tangent ratios for any right triangle
taurus [48]
Each angle has a sin, cos, and tan associated with it.
in a right angled triangle there are two other angles which each have ratios.
5 0
2 years ago
Read 2 more answers
If f(1) = 0 what are all the roots of the function f(x)=x^3+3x^2-x-3 use the remainder theorem.
ArbitrLikvidat [17]

Solution:

As we are given that f(1) = 0 .

It mean that (x-1) is one of the factor of the given equation.

Remainder theorem can be applied as below:

\frac{(x^3+3x^2-x-3)}{(x-1)}=\frac{x^3-x^2+4x^2-4x+3x-3}{(x-1)}\\ \\\frac{x^3-x^2+4x^2-4x+3x-3}{(x-1)}=\frac{x^2(x-1)+4x(x-1)+3(x-1)}{(x-1)} \\\\\frac{x^2(x-1)+4x(x-1)+3(x-1)}{(x-1)}=\frac{(x^2+4x+3)(x-1)}{(x-1)}  \\\\\frac{(x^2+4x+3)(x-1)}{(x-1)} =\frac{(x^2+3x+x+3)(x-1)}{(x-1)}  \\\\\frac{(x^2+3x+x+3)(x-1)}{(x-1)}  =\frac{(x-1)(x+3)(x+1)}{(x-1)}

Hence the factors are (x-1),(x+3) and (x+1).

Hence the correct option is B.

5 0
2 years ago
Read 2 more answers
Kate packs snow into 5 identical jars. Each jar represents a different depth of snow. Kate then lets the snow in each jar comple
Xelga [282]

Answer:

A, C, E

Step-by-step explanation:

From the table you can see that the water depth cahnges

0.8-0.4=1.2-0.8=1.6-1.2=2.0-1.6=0.4\ in

for every

4-2=6-4=8-6=10-8=2\ in of snow (option B is false).

This means that the function modelling this situation is linear function (option A is true and option D is false). Let the equation of this function be y=ax+b. Then

0.4=2a+b,\\ \\0.8=4a+b.

Subtract these two equations:

2a=0.8-0.4,\\ \\2a=0.4,\\ \\a=0.2.

Hence,

b=0.4-2\cdot 0.2=0.

The equation of the straight line (the graph of linear function) is y=0.2x. (option E is true) This line passes through the point (0,0), because its coordinates satisfy the equation (option C is true).

9 0
2 years ago
Read 2 more answers
Accident rate data y1, ...., y12 were collected over 12 consecutive years t=1,2,...12. At over 12 consecutive years t = 1,2,...,
e-lub [12.9K]

Answer:

The correct option is;

The accident rate is a linear model function of t. After t = 7, the slope changes, with the two lines intersecting at t = 7

Step-by-step explanation:

The given parameters are;

Accident rate data = y₁, y₂, y₃, y₄, y₅, y₆, y₇, y₈, y₉, y₁₀, y₁₁, y₁₂

Time at which data was recorded = t₁, t₂, t₃, t₄, t₅, t₆, t₇, t₈, t₉, t₁₀, t₁₁, t₁₂

Accident rate equation is a linear model given as follows;

y = X·B + E

Where:

y = Accident rate

X = Slope of linear model

B = Year

E = y intercept of model

At the end of the 6th year, a change in a regulation that affects safety, hence accident rate occurred given as follows;

Before the change in safety regulations occurred for year t < 7 y₁ = X₁B + E₁

After the change in safety regulations occurred for year t < 7 y₂ = X₂B + E₂

Therefore the slope changes from X₁ to X₂ after t = 7 with the second linear model starting from the end of the first linear model making the two lines intersect at t = 7 (the beginning of year 7)

Hence the correct option is that "The accident rate is a linear model function of t. After t = 7, the slope changes, with the two lines intersecting at t = 7."

4 0
2 years ago
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