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kirill [66]
3 years ago
9

Which unit rates would be appropriate for describing the speed of cars in a race?

Mathematics
1 answer:
vodomira [7]3 years ago
7 0
I would think miles per hour would be the best units to use because that is what the speedometer of a car is read in. Hope this helped! comment back with any questions you still have!
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Lily is cutting a piece of yarn into 3 (three) pieces. The 2nd piece is 3 times as long as the 1st piece, while the 3rd piece is
STatiana [176]

Answer:

The length of the first piece = 41 cm

Step-by-step explanation:

Let the length of the first piece = a

Let the length of the second piece = b

Let the length of the third piece = c

we are given the following:

b = 3a . . . . . (1)     (The 2nd piece is 3 times as long as the 1st piece)

c = 6 + a  . . . . (2)    (the 3rd piece is 6 centimeters longer than the 1st piece)

a + b + c = 211 . . . . . (3)    (  the yarn has a total length of 211 centimeters)

Next, let us eliminate two variables, and this can easily be done by substituting the values of b and c in equations 1 and 2 into equation 3. this is done as follows:

a + b + c = 211

a + (3a) + (6 + a) = 211       ( remember that   b = 3a; c = 6 + a)

a + 3a + 6 + a = 211

5a + 6 = 211

5a = 211 - 6 = 205

5a = 205

∴ a = 205 ÷ 5 = 41 cm

a = 41 cm

Therefore the length of the first piece (a) = 41 cm

now  finding b and c

substituting a into equation 1 and 2

b = 3a

b = 3 × 41 = 123

∴ b = 123 cm

c = 6 + a

c = 6 + 41 = 47

∴ c = 47 cm

6 0
3 years ago
PLEASE HELP, BEEN STUCK FOR AN HOUR
djverab [1.8K]

Answer:

Step-by-step explanation:

To sketch a quadratic function we need two things:

1)  Nature of the curve

2) Vertex

3) y-intercept

The completing square form of the quadratic equation is:

y=a(x-h)^2+k

where,

a represents the nature of the graph it can be maximum or minimum , meaning, if a > 0 then minimum(u shaped curve/happy face) and if a < 0 then maximum(n shaped curve/sad face).

h represents the x-coordinate of the vertex.

k represents the y-coordinate of the vertex.

Now if we compare g(x) with our completing square form we get the following:

g(x)=(x-4)^2+12\\y=a(x-h)^2+k\\

When we simply compare the following we get ,

a = 1 , which means a > 0 since 1 is greater than 0 the nature of the curve will be minimum(happy face/u shaped)

h = 4, which means the x-coordinate of the vertex is 4

k = 12, which means the y-coordinate of the vertex is 12

Now we have the nature of the curve, we have the vertex now all we need is the y-intercept.

For y-intercept:

For y-intercept meaning at which point will the graph cross the y-axis(0 , y)

For that we expand the formula and turn it into the standard quadratic equation form by using the formula (a - b)^2

y=(x-4)^2+12\\y=((x)^2-2(x)(4)+(4)^2)+12\\y=x^2-8x+16+12\\y=x^2-8x+28\\

now we compare with the standard quadratic form:

y=ax^2+bx+c

here c is the y-intercept and while comparing we can see that c = 28 ,

so the curve cuts the y-axis at (0 , 28)

So we have all the three things that we need to graph our function.

So we just plot the y-intercept , the vertex , and join the dots. Just a tip draw a dotted line on the x-coordinate of the vertex because the vertex point is also called as a turning point where the graph goes in the opposite direction just like a mirror reflection. I attached 2 images you can check them out. One is handmade(i know i suck at drawing but still xD) , one is sketched by online graphing calculator.

5 0
3 years ago
Please help if you understand this question!
Solnce55 [7]

Answer:

B. x=5, y=4

Step-by-step explanation:

the tiny triangle is 3x smaller so just divide those numbers by three

7 0
2 years ago
40 POINTS PLEASE HELP AND HURRY
pentagon [3]

Answer:

The histogram that represents the correct frequency of each class interval in the given data set, is: histogram B.

What is a Histogram?

A histogram is a type of bar graph that uses bins to represent the frequency of a class interval.

Given the data points above, the histogram in option B has the correct bars that represent the appropriate frequency of each class interval.

Therefore, the histogram that represents the data set given is Histogram B.

Learn more about histograms on:

brainly.com/question/18198700

Please Do this:

<h2><u><em>Please give me brainleist!</em></u></h2>

3 0
2 years ago
Which statement best describes f(x)=-2√x-7+1
olga nikolaevna [1]

it is under mapping and function

f of x is equal to -2 root x-7 plus one

6 0
3 years ago
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