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jekas [21]
3 years ago
9

What is m angle PQR?

Mathematics
1 answer:
WINSTONCH [101]3 years ago
4 0
3x-5+x+1=180
4x-4=180
4x=176
X=44
Plug in 44 for X
3(44)-5
132-5
Answer
127
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HELP 40 POINTS
Tom [10]
Answer: the function g(x) has the smallest minimum y-value.


Explanation:


1) The function f(x) = 3x² + 12x + 16 is a parabola.


The vertex of the parabola is the minimum or maximum on the parabola.


If the parabola open down then the vertex is a maximum, and if the parabola open upward the vertex is a minimum.


The sign of the coefficient of the quadratic term tells whether the parabola opens upward or downward.


When such coefficient is positive, the parabola opens upward (so it has a minimum); when the coefficient is negative the parabola opens downward (so it has a maximum).


Here the coefficient is positive (3), which tells that the vertex of the parabola is a miimum.


Then, finding the minimum value of the function is done by finding the vertex.

I will change the form of the function to the vertex form by completing squares:

Given: 3x² + 12x + 16

Group: (3x² + 12x) + 16
Common factor: 3 [x² + 4x ] + 16
Complete squares: 3[ ( x² + 4x + 4) - 4] + 16
Factor the trinomial: 3 [(x + 2)² - 4] + 16
Distributive property: 3 (x + 2)² - 12 + 16
Combine like terms: 3 (x + 2)² + 4

That is the vertex form: A(x - h)² + k, whch means that the vertex is (h,k) = (-2, 4).


Then the minimum value is 4 (when x = - 2).


2) The othe function is <span>g(x)= 2 *sin(x-pi)
</span>

The sine function goes from -1 to + 1, so the minimum value of sin(x - pi) is - 1.


When you multiply by 2, you just increased the amplitude of the function and obtain the new minimum value is 2 (-1) = - 2


Comparing the two minima, you have 4 vs - 2, and so the function g(x) has the smallest minimum y-value.

7 0
3 years ago
Number product of a number ​
yuradex [85]

Answer:

The answer to a multipaction problem

Step-by-step explanation:

The values you are multiplying are called the factors. The answer in a multiplication problem is called the product. You find the product when you multiply two or any number of factors.

8 0
2 years ago
An employee earned $56,700.00 in a year and had $8,788.50 withheld for federal income tax. What federal income tax percent was w
alexandr1967 [171]
So earned 56,700 in a year and had 8,788.5 held back
convert to percent

so find what percent was withhelald which is (amount held back)/(total taken from)
so it would be 8,788.5/56,700=0.155/1
percent means parts out of 100 or x/100=x% so convert the bottom number ot 100 by mulitplyint the whole fraction by 1 or 100/100 so
0.155/1 times 100/100=15.5/100=15.5%
the answer is 15.5%
6 0
3 years ago
Solve the system of equations using substitution. y = 2x – 10 y = 4x – 8
Dmitry_Shevchenko [17]
If this paper dosent help u solve it on Your own i can walk u through it

3 0
2 years ago
Read 2 more answers
dayo read 4/5th of a story book which has 500 pages. how many pages of the book is not yet read by dayo?
Nutka1998 [239]
1- 4/5=1/5; 1/5 •500=500/5=100
5 0
3 years ago
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