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Marianna [84]
2 years ago
15

Jeremiah scored 28 points in yesterday’s basketball game. He made a total of 17 baskets.Some of the baskets were field goals (wo

rth two points) and the rest were free throws (worth one point). Write and solve a system of equations to find the number of field goals and the number of free throws that Jeremiah made. Let x represent Field Goals and y represent Free Throws.
Mathematics
2 answers:
kumpel [21]2 years ago
8 0
The answer to the question is "8x + 1y = 28".
SOVA2 [1]2 years ago
5 0

Answer:

Yes this dude has the right answer below

Step-by-step explanation:

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How many real solutions does this system of equations have? x^2 + y^2 = 36
Vinvika [58]

Answer:

C:  there are two real solutions

Step-by-step explanation:

x^2 + y^2 = 36 is the equation of a circle centered at the origin and with radius √36, or 6.  Even a rough sketch of this circle would enable you to visualize what is happening here.  

3x – y + 1 = 0 may be solved for y:  y = 3x + 1.  The y-intercept of this straight line is (0, 1).  Plot this point inside the circle of radius 6 mentioned above and then draw a straight line with slope m = 3 through it.  This line will intersect the circle in two places; they represent real solutions.

Alternatively, substitute 3x + 1 for y in x^2 + y^2 = 36:

x^2 + (3x + 1)^2 = 36, or

x^2 + 9x^2 + 6x + 1 = 36, or

10 x^2 + 6x + 1 - 36 = 0, or

10 x^2 + 6x - 35 = 0.  This is a quadratic equation.  We'll use the quadratic formula to find solutions which represent the intersections of this line with this circle:

The coefficients are a = 10, b = 6 and c = -35.  Thus, the discriminant is

b^2 - 4ac, or 6^2 - 4(10)(-35), or 1436.  

Because the discriminant is positive, we can safely conclude that there are two real solutions, that is, two different, real x-values, each representing the x-coordinate of a point of intersection of the circle and the line.

The correct answer to this prolem is C:  there are two real solutions.

4 0
3 years ago
I don't get this pls help
dmitriy555 [2]

Answer:

  d, e

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

__

In this case, it means the product is ...

  (6^1)(6^0)(6^-3) = 6^(1+0-3) = 6^-2 = 1/6^2 = 1/36

__

The 6 without an exponent is equivalent to 6^1, an exponent of 1.

The sum of the exponents is -2.

Add the exponents to simplify the expression.

The value of the expression is 1/36.

An equivalent is any expression that results in 6^-2. One such is (6^5)(6^-7).

__

Only the last two choices, d and e, apply.

3 0
3 years ago
What is α, the probability of a Type I error if the null hypothesis, H0, is: Carmin believes that her chemistry exam will only c
baherus [9]

Answer:

The probability of falling into a type I error, when testing a hypothesis test, consists of:

Probability of rejecting the null hypothesis when, in reality, this hypothesis is true.

Probability of rejecting the null hypothesis when, in reality, this hypothesis is true, is:

Probability of Affirm that Chemistry exam will NOT cover only chapters four and five, since the Chemistry exam will cover only chapters four and five.

That is, alpha is the probability that Carmin decides to study additional chapters, unnecessarily.

Step-by-step explanation:

8 0
2 years ago
What is the measure of angle 3?
zheka24 [161]
Angles 6 and 8 add up to equal 180, so 2x - 5 + x + 5 = 180.  3x = 180 so x = 60.  Angle 3 is alternate interior to angle 6 which is 2(60) - 5 = 115, so angle 3 is also 115
7 0
3 years ago
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What is the greatest possible error for 0.224m
Citrus2011 [14]

Answer:

0.0005 I believe

Step-by-step explanation:

7 0
3 years ago
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