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3 years ago

Which of the statements is true regarding the graphed functions ?

Mathematics

1 answer:

DedPeter [7]3 years ago

6 0

F(x) means the function defined at that x value. It really just means what y value when x is equal to that input. So we can see clearly that A is false. They’re nearly opposite y values. B is also obviously false since the y values aren’t equal. C is the same case, the y values aren’t equal. D is true. When x = -2 for both functions, we can see the y value is the same. They also intercept, so that’s a pretty dead giveaway

D.)

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Needd helpp pleasee!!!!!

Morgarella [4.7K]

Number of game tokens is the label on x-axis.

Step-by-step explanation:

The equation is y = 0.5x + 3

Given,

Admission charge = $3
Cost of game token = $0.5 per game.

Total cost = admission charge + cost for number of game token

where,

y represents the total cost
x represents the number of game tokens.

7 0

3 years ago

Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins $2$ years younger than

vagabundo [1.1K]

Let the youngest sister be n years
Lana will be 2n years, as her youngest sister is half her age
The age of the twins separately will be 2n-2 as they are 2 years younger than Lana
So, the equation looks like this:
n + 2n + 2(2n-2) = 45
Now solve for n:
3n + 4n - 4 = 45
7n - 4 = 45
7n = 49
n = 7
So the youngest sister is 7, Lana is 14 and the twins are 12. 14 + 12 + 12 + 7 =45

8 0

3 years ago

Can an opposite and an absolute value of an integer be the same?

krek1111 [17]

Yes and opposite and an absolute value of an integer will be the same.

8 0

3 years ago

A line representing Car B would have a parallel slope if:

Lerok [7]

Answer:

you add an image

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve for w, where w is a real number.

Ber [7]

Answer:

w= 9

Step-by-step explanation:

$\sqrt{ - 4w + 61} = w - 4$

Square both sides:

-4w +61= (w -4)²

$\boxed{(a - b)^{2} = a^2 -2ab + b^2 }$

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

w² -4w -45= 0

Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

Why do we use negative square root?

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

6 0

2 years ago

Read 2 more answers