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Sindrei
1 month ago
12

#6) Beth saved a total of $30 per month for her first car. Beth saved

Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
6 0
1) The domain is represented in interval notation as [0, 20]. 2) The range is denoted as [100, 700]. Given that Beth saves $30 per month for 20 months and started with an account of $100, we express the total amount saved as Y = $100 + $30 × X, allowing us to accurately define both the domain and range.
You might be interested in
Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer than he play
lawyer [12517]

Answer:

Part A:

x+y= 95

x = y+25

Part B: 35 minutes

Part C: No

Step-by-step explanation:

  • Part A:

Eric spends a total of 95 minutes daily playing basketball and volleyball combined.

x+y= 95

Where:

x =minutes Eric plays basketball

y = minutes he allocates to volleyball

He dedicates 25 minutes more to basketball compared to volleyball.

x = y+25

Equations are:

x+y= 95

x = y+25

  • Part B:

Substituting x=y+25 into the first equation yields:

(y+25) + y =95

Solving for y

y+25+y =95

25+2y=95

2y=95-25

2y=70

y = 70/2

y = 35 minutes

Part C: No

If x = 35

x+y= 95

35+y =95

y= 95-35

y = 60 minutes

Inserting y=60 into the other equation:

x = y+25

35 = 60+25

35 ≠85

5 0
3 months ago
Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?
Zina [12379]

Answer:

x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

Step-by-step explanation:

we understand that

The quadratic equation solution formula for the structure ax^{2} +bx+c=0 is described as

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

for this particular equation we recognize

0=-3x^{2}-2x+6  

thus

a=-3\\b=-2\\c=6

insert values into the equation

x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(-3)(6)}} {2(-3)}

therefore

x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

4 0
2 months ago
Read 2 more answers
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