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Varvara68 [4.7K]
4 years ago
8

Given the quadratic function f(x)=2(x+3.5)^2-4.5, find the equation of the axis of symmetry, and find the zeros of the function.

Determine whether the function has a maximum value or minimum value and determined that value .
Mathematics
1 answer:
sp2606 [1]4 years ago
4 0
The vertex is (-3.5, -4.5). You can see this values right in the equation because it is in vertex form.

The axis of symmetry will go vertically through the vertex, so it is x = -3.5.

The zeros are (-5, 0) and (-2, 0). You can find those by graphing it or setting the left side equal to 0 and solving for x.
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A tree casts a shadow 21m long. The angle of elevation of the sun is 55 degrees. What is the height of the tree?
Orlov [11]

Answer:

The height of the tree is about 30 feet.

Step-by-step explanation:

tan(55) = h/21

*21          *21

21*tan(55)=h

29.99=h

h=29.99=30 feet

4 0
3 years ago
Rewrite the equation in vertex form. Name the vertex and y-intercept.
VMariaS [17]
Y = x² - 10 x + 15 =
   = (x² - 10 x + 25) - 25 +15=
   = ( x - 5 )² - 10
Answer: B) y = ( x - 5 )²-10
                   vertex: (5, -10)
                   y - intercept: ( 0,15)
4 0
3 years ago
Which terms could be used as the first term of the expression below to create a polynomial with a degree of 5 written in standar
Orlov [11]

Answer:

<h3>From the given monomials we have that <u>5x^4y</u> is the first term of the expression below to create a polynomial with a degree of 5 written in standard form.</h3>

Step-by-step explanation:

Given expressions are 2x^2y^2,-3xy^3,-4x^3y^2,x^3,8.4x^4y^2,5x^4y,-xy^3

<h3>To find  the first term of the expression below to create a polynomial with a degree of 5 written in standard form :</h3>
  • From the given expressions we notice that they are monomials because it has one term only.
<h3>From the monomials we have that 5x^4y is the first term of the expression below to create a polynomial with a degree of 5 written in standard form</h3>
  • While other expressions exceeds degree 5 or less than the degree 5 so we take only this expression 5x^4y
  • When we add the powers we get 4+1=5
  • Therefore the degree of the polynomial is 5
4 0
4 years ago
Read 2 more answers
A collrollary is a statement that can easily provide using a theorem
DedPeter [7]
Im Guessing this is a true and fasle

So the answer would be False
5 0
3 years ago
How many positive multiples of 7 that are less than 1000 end with the digit 3?
jeyben [28]

Answer:

14

Step-by-step explanation:

Ordinarily, a quick multiplication of 7 by other integers up to 10 indicates that only 7*9 yields 63, i.e ends with 3 as required.

Thus the set of possible multiples of the integer 7 ending with the digit 3 will form the arithmetic series with the first term being Ao = 63 and the common difference being d= 7*10= 70. That is we can see the series in details....

the nth term could be evaluated from the formular

An=Ao+(n-1)d        (1)

The series could be explicitly depicted as follows:

       9*7=63= 63+70*0

(10+9)*7=133 = 63+70*1

(20+9)*7=203=63+70*2

(30+9)*7=273=63+70*3

.................................

(130+9)*7=973=63+70*13

The last 'n' corresponding to the problem statement could be evaluated from equation (1), assuming An=1000:

1000=63+(n-1)*70

1000-63=70(n-1)

937/70=13.38=n-1

n=14.38

Thus the number of possible multiples of 7 less than 1000 ending with digit 3 will be 14.

Check: 7 times 142 is 994, so there are exactly 142 positive multiples of 7 less than 1000.

One tenth of these, ignoring the decimal fraction, end with a digit of 3.

5 0
4 years ago
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