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natta225 [31]
4 years ago
11

Which statement best illustrates using the vertical line test to determine if the graph below is a function of x ?

Mathematics
2 answers:
kirill115 [55]4 years ago
4 0

If something is a function, every x-value, only has one (1) y-value. If the line x = 0 intersects the graph in two points, there are to values for y (instead of one). Therefore the graph is not a function of x.


Your answer is A.


Mekhanik [1.2K]4 years ago
3 0

Answer:

A

Step-by-step explanation:

A function can only have one output value "y" for each input "x", so if a vertical line in an xy plane (therefor the line test) that you can imagine, or you can see by using a ruler intersects more than one point on the same line, you have more than one value for x, and that is not a function.

as you see in option A, the line x=0  intersects the graph at two points.

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12.what is the probability that a boy and a girl chosen randsomly will be seniors?
zhenek [66]

\frac{\textbf{1}}{\textbf{20}}

Step-by-step explanation:

Probability=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}

Probability for a randomly chosen girl to be senior=\frac{\text{number of senior girls}}{\text{total number of girls}}

Probability for a randomly chosen girl to be senior=\frac{7}{8+11+9+7}=\frac{7}{35}=\frac{1}{5}

Probability for a randomly chosen boy to be senior=\frac{\text{number of senior boys}}{\text{total number of boys}}

Probability for a randomly chosen girl to be senior=\frac{9}{10+7+10+9}=\frac{9}{36}=\frac{1}{4}

For two independent events,

Probability for both event 1 and event 2 to take place=\text{probability of event 1} \times \text{probability of event 2}

Since choosing boys and girls is independent,

Probability for both boy an girl chosen to be senior=\text{probability for boy to be senior}\times\text{probability for girl to be senior}

Probability for both boy and girl chosen to be senior=\frac{1}{5} \times \frac{1}{4} = \frac{1}{20}

So,required probability is \frac{1}{20}

3 0
3 years ago
Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider
kiruha [24]

Answer:

Part A) V(t)=-5,750t+101,250

Part B) \$55,250

Step-by-step explanation:

Part A) Express the value of the bulldozer, V, as a function of how many years old it is, t.

Let

V ----> the value of the bulldozer (dependent variable or output value)

t ----> the number of years (independent variable or input value)

we know that

The linear function in slope intercept form is equal to

V(t)=mt+b

we have the ordered pairs

(0,101,250) and (15,15,000)

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{15,000-101,250}{15-0}

m=-\$5,750\ per\ year ----> is negative because is a decreasing function

The value of b is the initial value

so

b=\$101,250

substitute

V(t)=-5,750t+101,250

Part B) The value of the bulldozer after 8 years is

For t=8 years

substitute the value of t in the linear equation

V(t)=-5,750(8)+101,250=\$55,250

4 0
3 years ago
Help l will give brainlist to you
ratelena [41]
You have to do 91/13 which is 7 which means that each hen lays 7 eggs per week so the unit rate is 7
4 0
3 years ago
Read 2 more answers
A population of caribou in a forest grows at a rate of 5% every year. If there are currently 248 caribou, which function represe
ANEK [815]

Answer: I think that the answer is C because 5% is 5 out of 100 and 5 out of 100 as a decimal is 0.05 and you are trying to find how much the population will have increased so you have to multiply 248 by 5% or you have to multiply 248 by 0.05

Step-by-step explanation:

6 0
3 years ago
Match each output to its input for the function. Let f(x) = −2x + 3 f(0) f(−32) f(10) f(−17) and the choices are 3,-17,37,6
Andru [333]

Answer:

Below

Step-by-step explanation:

● f(x) = -2x + 3

● f (0) = -2 (0) +3 = 3

● f(-32) = -2(-32)+3 = 64 + 3 = 67

● f(10) = -2(10) +3 = -20 + 3 = -17

● f(-17) = -2(-17) + 3 = 34 + 3 = 37

● f(10) => -17

● f(-17) => 37

4 0
3 years ago
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