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irina1246 [14]
3 years ago
15

I need help with question 1.

Mathematics
1 answer:
damaskus [11]3 years ago
8 0
What I think that he meant by that is that math is not mainly common sense. You use math in every day life, so logical thinking is an important foundational skill to math. So, yes, I agree.
You might be interested in
Find the equation of the axis of symmetry for this function <br> F(x)= 5x^2 - 3x + 5
likoan [24]

Answer:

x = \frac{3}{10}

Step-by-step explanation:

Given a quadratic in standard form, ax² + bx + c : a ≠ 0

Then the axis of symmetry is a vertical line with equation x = h

where h is the x- coordinate of the vertex.

The x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = 5x² - 3x + 5 ← is in standard form

with a = 5 and b = - 3, thus

x_{vertex} = - \frac{-3}{10} = \frac{3}{10}

Thus the equation of the axis of symmetry is x = \frac{3}{10}

3 0
3 years ago
What is the measure of a base angle of an isosceles triangle if the measure of the vertex tangle is 38 degrees and the two congr
Anit [1.1K]

The measures of the angles of the isosceles triangle are 55, 55 and 70.

Explanation:

An isosceles triangle has two congruent base angles and a vertex angle.

Let b =the measure of one of the base angles.

Let v = the measure of the the vertex angle.

The vertex angle is 40 degrees less than the sum of the base angles.

v = b + b − 40 = 2 b − 40

The sum of the measures of the angles of a triangle is 180.

b + b + v = 180

Substitute 2 b − 40 for v .

b + b + 2 b − 40 = 180

4 b − 40 = 180

+40+40

Combine like terms.

Add 40 to both sides.

4b=220

Divide by 4

4 b/4 = 220 /4

b = 55

v = 2 b − 40

v = 2 ( 55 ) − 40 = 70

4 0
3 years ago
What is the equation of the quadratic function that has a minimum at (7.-3) and goes through (9.9)?
bixtya [17]

Answer:

X² - 14x + 48= 0

Step-by-step explanation:

To find the quadratic equation well have to look for the root of the equation.

So the roots are at x= 6 and x= 8

The quadratic curve didn't pass the origin .

It intercepted the x axis at 6 and 8 and that's the roots.

So our equation is

(X-6)(x-8)= x²-8x -6x +48

X² - 14x + 48= 0

7 0
2 years ago
X+y=26<br> 3x+8y=123<br> What is x equal
Pani-rosa [81]

Answer:

x=17, y=9. (17, 9).

Step-by-step explanation:

x+y=26

3x+8y=123

------------------

x=26-y

3(26-y)+8y=123

78-3y+8y=123

78+5y=123

5y=123-78

5y=45

y=45/5

y=9

x=26-9=17

5 0
3 years ago
For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed wi
8090 [49]

Explanation:

Lets interpret Z with M trials. First we have M trials, each trial can be a success or not. The number of success is called N. Each trial that is a success becomes a trial, and if it is a success it becomes a success for Z. Thus, in order for a trial to be successful, it needs first to be successful for the random variable N (and it is with probability q), and given that, it should be a success among the N trials of the original definition of Z (with probability p).

This gives us that each trial has probability pq of being successful. Note that this probability is pq independently of the results of the other trials, because the results of the trials of both N and the original definition of Z are independent. This shows us that Z is the total amount of success within M independent trials of an experiment with pq probability of success in each one. Therefore, Z has Binomial distribution with parameters pq and M.

7 0
2 years ago
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