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elena-s [515]
3 years ago
14

3/5 of the students in a room are girls. 1/3 of the girls have blonde hair. 1/2 of the boys have brown hair.

Mathematics
1 answer:
frutty [35]3 years ago
6 0

one fifth of the boys in the classroom have brown hair.

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Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value. Find that value and explain how you know.
polet [3.4K]

Answer:

The vertex is the point (-1,11). is a maximum

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

f(x)=a(x-h)^{2}+k

where

(h,k) is the vertex

a is a coefficient

if a > 0 the parabola open upward and the vertex is a minimum

if a < 0 the parabola open downward and the vertex is a maximum

we have

f(x)=-5x^{2}-10x+6

Convert to vertex form

Complete the square

f(x)-6=-5x^{2}-10x

Factor the leading coefficient

f(x)-6=-5(x^{2}+2x)

f(x)-6-5=-5(x^{2}+2x+1)

f(x)-11=-5(x^{2}+2x+1)

Rewrite as perfect squares

f(x)-11=-5(x+1)^{2}

f(x)=-5(x+1)^{2}+11

The vertex is the point (-1,11)

The coefficient a=-5

so

a < 0 the parabola open downward and the vertex is a maximum

5 0
3 years ago
How do you find multiplicity of zeros?
navik [9.2K]
How many times a particular number is a zero<span> for a given polynomial. For example, in the polynomial function f(x)=(x–3)4(x–5)(x–8)2, the </span>zero<span> 3 has </span>multiplicity<span> 4, 5 has </span>multiplicity<span> 1, and 8 has </span>multiplicity<span> 2. Although this polynomial has only three </span>zeros<span>, we say that it has seven </span>zeros<span> counting </span><span>multiplicity</span>
3 0
3 years ago
Read 2 more answers
What is 7490 times 3
faust18 [17]

22,470, because you look it up a calculator

7 0
3 years ago
Read 2 more answers
The outlier, 78, is removed from the data set shown. 23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78 How does this affect the range?
GrogVix [38]

The range is decreased by 33.

5 0
3 years ago
5 ≤ - 3x- 3 ≤ 10 solve the inequality for x
kaheart [24]

Answer:

<h3>- \frac{8}{3}  \geqslant x   \geqslant - \frac{13}{3}</h3>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • inequality
  • solving inequality
  • PEMDAS
<h3>given:</h3>

5 ≤ - 3x- 3 ≤ 10

<h3>to solve:</h3>

x

<h3>let's solve:</h3>

few notes about inequality

the direction of the inequality doesn't change if you

  • Add (or subtract) a number from both sides
  • Multiply (or divide) both sides by a positive number
  • Simplify a side

the direction of the inequality does change

if you

  • Multiply (or divide) both sides by a negative number
  • Swapping left and right hand sides

step - 1 : difine

5 \leqslant  - 3x - 3 \leqslant 10

step - 2 :  \\ add \: 3 \: in \: each \: sides

5 + 3 \leqslant  - 3x - 3 + 3 \leqslant 10 + 3

8 \leqslant  - 3x \leqslant 13

step - 3 :  \\ divide  \:  - 3\: from \: each \: sides \:  \\ and \: swap \: the \: inequalily

\therefore -  \frac{8}{3} \geqslant x \geqslant   - \frac{13}{3}

5 0
3 years ago
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