MATHEMATICS HIGH SCHOOL

In how many ways can 15 basketball players be listed in a program A. 15
B. 1
C. 32,432,400
D. 1,307,674,368,000

Answers

Answer 1
Answer: C) 32,432,400 im not 100% sure though

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Determine whether (6,4) is a solution of y = 19x - 2.

Answers

Answer:

Not a solution

Step-by-step explanation:

To determine if a pair of coordinates is the solution to an equation, just plug it in.

Given that the equation is:

y = 19x - 2

And the coordinates they give us to evaluate:

(6, 4)

Plug the coordinates in:

y = 19x - 2

4 = 19(6) - 2

4 = 114 - 2

4 = 112

4 ≠ 112

4 is not equal to 112. Therefore this pair is not the solution.

Answer:  No, it's not a solution.

Explanation

The point (6,4) tells us that x = 6 and y = 4 pair up together.

Plug those values into the equation. Simplify both sides as much as possible (use PEMDAS). If we get the same thing on both sides, then that point is a solution to the equation.

y = 19x - 2

4 = 19*6 - 2

4 = 114 - 2

4 = 112

We get different values on each side. Therefore, the point (6,4) is not a solution to the equation.

Another approach you could do is graph the equation using a tool like Desmos. GeoGebra works as well. The point (6,4) is not on the diagonal line. Check out the diagram below to see what I mean.

For what values of k does the equation x^2 - (5k+1)x + 9k^2 = 0 have real roots?

Answers

K has a range from[ -1/11 to 1]
real roots occur when the determinant b^2-4ac >= 0

so substituting:-

(5k + 1)^2 - 4*1* (9k^2) >= 0
25k^2 + 10k + 1 - 36k^2 >= 0
-11k^2 +10k  + 1 >= 0
11k^2 - 10k - 1 <= 0
(11k + 1)(k - 1) <=  0

the equation will have real roots for  -1/11 =< k <= 1

Yesterday, Julie’s bank account balance was –$10.28. She deposited some money into her account so that her balance is now $39.89.How much did she deposit into her account?

A.$50.17

B.$39.00

C.$29.72

D.$10.00

Answers

Since we're starting with a negative we're going to disregard the negative sign and add the numbers together: $10.28 + $39.89 = $50.17. :)
39.89 - ( -10.28 ) 
The reason you subtract is because the key word is depositied

In an isosceles trapezoid, each pair of base angles is __________. A. right B. Supplementary C. complimentary D. congruent

Answers

I'm totally sure that inn an isosceles trapezoid, each pair of base angles is D. congruent

Parallel and Perpendicular Line Equations Write the slope-intercept form of an equation of the line that passes through the point (3.2) and is parallel to y = x + 5 yox. 1 X5​I need help asap pls

Answers

Answer:

y = x - 1

Step-by-step explanation:

Lines that are parallel have the same slope.  The slope of the given equation is 1.  This means that the new equation will also have a slope of 1.

Use the point-slope form to find the equation with the given point and slope.

y - y₁ = m(x - x₁)

y - 2 = 1(x - 3)

y - 2 = x - 3

(y - 2) + 2 = (x - 3) + 2

y = x - 1

There will be 175 guests at a wedding. Instead of a wedding cake, the bride wants to serve cheesecake. If each cheesecake serves 12 people, how many should she order?_____________cheesecakes

Answers

175/12 = 14.58 or 15 cheesecakes

Explanation

Thus, you have 175 visitors. = 175gst

12 GST for one cheesecakes

A ratio should be set up so that the units cancel.

1 cheesecakes x 175gst c

————————

12 gst

Here, the GST is cancelled, leaving you with cheese cake, making 175/12 equal to 14.58 or 15.

To learn more about Calculation refer to

brainly.com/question/11229219

#SPJ2
So you have 175 guests. = 175gst

1 cheeseck= 12 gst

Set up you ratio so that your units cancel.

175gst x 1 cheese c
----------------
12 gst

Here the gst cancel and you are left with cheese cake so

175/12 = 14.58 or 15
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