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bearhunter [10]
3 years ago
12

The legend on a map states that

Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0
11 inches
= 11 x 200 miles
= 2200 miles
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31-18÷6 how would you solve this using PEMDAS?
sergeinik [125]
P: Parenthesis
E: Equation 
M:Multiplication 
D: Division 
A : addition 
S: Subtraction

So first you need to divide because it is before so you divide 18 by 6 which is 3 then you subtract (31 - 3) which gives you 28
answer : 28

7 0
3 years ago
Read 2 more answers
The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?
daser333 [38]

Answer:

d=\frac{3}{2}=1.5

Step-by-step explanation:

We have the function:

y=a(x-2)(x-1)

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are <em>(x-2) </em>and <em>(x-1)</em>.

Therefore, our roots/zeros are <em>x=1, 2</em>.

So, the average of them are:

d=\frac{1+2}{2}=3/2=1.5

Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

x=-\frac{b}{2a}

So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:

x=-\frac{-3a}{2a}=\frac{3}{2}=1.5

Confirming our answer.

4 0
2 years ago
Which set of ordered pairs represents a function? {(-2, 4), (-1, 6), (-6, 3), (-6, 4)} {(5, 5), (9, 5), (-8, 0), (-7, 8)} {(-2,
Mademuasel [1]

The first set. It repeated 6 on the X value

5 0
2 years ago
Describe the graph of y &gt; mx, where m &gt; 0
Dennis_Churaev [7]

The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.

6 0
2 years ago
Read 2 more answers
Ivanka has a ribbon that is 4.5 inches long. Michal has a ribbon that is 3 1/10 times the length of ivanka’s ribbon. How long is
ddd [48]

Answer:

6.30

Step-by-step explanation:

Ivanka’s ribbon = 4.5 inches long

Michal’s ribbon is 3 1/2 times ivanka’s

Therefore,

Michal’s = 3 1/2 x 4.5

= 7/5 x 4.5

= 31.5/5

= 6.3 = 6.30 to the nearest hundredth

3 0
3 years ago
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