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9514 1404 393

Explanation:

Vertex form of a quadratic can be written as ...

  a(x -h)² +k = 0 . . . . . . vertex (h, k); scale factor 'a'

First of all, it highlights the vertex (x, y) = (h, k), which is the extreme maximum or minimum of the function. That also tells you the axis of symmetry, (x = h).

Vertex form also shows you the vertical scale factor. The sign of that tells you whether the graph opens upward (positive) or downward (negative). The numerical value of it tells you the vertical distance from the vertex to points ±1 unit either side of the vertex.

The roots of the quadratic will be ...

  x = h ±√(-k/a)

These will be complex if the graph does not intersect the x-axis.

Answer:

From the vertex form  ()=(−)+ , you can find the vertex  (,)  and see whether the parabola opens upward (if  > ) or downward (if  < ). From a graph, you can read the coordinates of the vertex and substitute into the vertex form. With the coordinates of one other point, you can solve the equation to find a and write the equation of the quadratic function in vertex form.

Answer:

It's D

Step-by-step explanation:

Answer:

3 1/5

Step-by-step explanation:

8/1 = 8

8/1 * 2/5 = 16/5

16/5 = 3 1/5

Answer:

32/10, or 3 1/5

Step-by-step explanation:

One way of doing this problem is to multiply the numerators 8 and 2 together and then divide the result by 5:

 8*2

-------- = 16/5

   5

In turn, 16/5 can be rewritten as 32/10, or 3 1/5

Answer:

m= -1

y intercept= 1

y= - x + 1

Step-by-step explanation:

Answer:

-3.4x+8.05

Step-by-step explanation:

Answer:

5x-30=5(x-6)

Step-by-step explanation:

Answer:

58.33 miles per hour

Step-by-step explanation:

[tex]\frac{350Miles}{6Hours} =58.33mph[/tex]

I hope this help you

Answer:

  B. y = 2x^2 - 4x

Step-by-step explanation:

The point (0, 0) lies on the graph, so the equation has no constant term (the constant is zero). Only one answer choice has this characteristic:

  y = 2x^2 -4x

Answer:

18.2 kilograms =

18,200 grams

Answer:

y=6x-4

Step-by-step explanation:

What we know

-9 is x and -58 is y so we have to find the y-intercept y=mx+b is also the formula for this

-58=6(-9)+b

-58=-54+b

-58=54+b        - we changed -54 to a positive 54

54-58=-4

y=6x-4

bearing in mind that a function never has X-repeats, or namely the 1st value of each coordinate is never repeated, let's check these ones, who has an X-repeat and doesn't, Check the picture below.

Answer:

y = 2/3x - 7

Step-by-step explanation:

(3, -5) (-3, -9)

and y = -7 when x = 0  from graph

so c = -7

m = -9 - (-5)  / -3 - 3

= -4 / -6

= 2/3

line equation is y = mx + c

y = 2/3 x + (-7)

y = 2/3x - 7

[tex]\\ \sf\longmapsto m=\dfrac{-9+5}{-3-3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4}{6}[/tex]

[tex]\\ \sf\longmapsto m=2/3[/tex]

Now

Equation of line

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{2}{3}x-7[/tex]

Answer:

y=16x+36

Step-by-step explanation:

cleaning services start at $36 for one hour and add $16 to total price per hour.

16(1)+36=52

16(2)+36=68

16(3)+36=84

16(4)+36=100

Answer: plz mark me as a brainliest

Step-by-step explanation:

plz mark me as a brainiiest

Answer:

156 5 dollar bills

Step-by-step explanation:

Answer:

Discount: $2.10

Final Cost: $11.90

Step-by-step explanation:

14 times 15% is 2.10.

So, you would take that $2.10 and subtract it from $14.00 to get your answer of $11.90

Answer:

option 1 is correct .. triangle ABC is congruent to DEF..

Answer:

B.    The axis of symmetry is x = 1.5 and the vertex is (1.5, 12.75).

Step-by-step explanation:

I will solve the problem by applying the perfect square trinomial. In this way we obtain the canonical form. Another way would be to derive the function, but I don't know if you're familiar with it.

First: let us take out the common factor: , since we remember that the canonical form is characterized as follows:

Then, it remains:

Then: the coefficient of the variable  We divided it between , And we square it (they will be one positive and one negative). In our case:

Let's accommodate terms to make it easier:

Can be written as :

Now, what is underlined is our perfect square trinomial, let us recall its form:

Applying the same principle we are left:

Applying distributive property we get:

Therefore it will have its vertex in:  

The axis of symmetry is a straight line that makes the function to be projected being , for this you need some reference point, for the parabola you need the coordinate in  of the vertex.

For which the axis of symmetry is .

-1.5

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

Answer:

b

Step-by-step explanation:

Answer:

me what is there to write about

Step-by-step explanation:

Check the picture below.

[tex] {x}^{2} + {x}^{2} = {6}^{2} \: \: \: (by \: \: pythagoras \: \: \: theorem) \\ = > {2x}^{2} = 36 \\ = > {x}^{2} = \frac{36}{2} \\ = > {x}^{2} = 18 \\ = > x = \sqrt{18} \\ = > x = \sqrt{2 \times 3 \times 3} \\ = > x = 3 \sqrt{2 } \\ = > x = 4 .2[/tex]

Answer:

Answer:The length of the leg is 4.2 units.

Hope you could get an idea from it.

Doubt clarification - use comment section.

Using the normal distribution and the central limit theorem, it is found that there is a 0.6328 = 63.28% probability that a random sample of 100 accounting graduates will provide an average that is within $902 of the population mean.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Hence, the probability of sample having mean within M of the population mean is the p-value of [tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex] subtracted by the p-value of [tex]Z = -\frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex].

In this problem, we suppose [tex]\sigma = 10000[/tex], and thus, with a sample of 100, we have that [tex]s = \frac{10000}{\sqrt{100}} = 1000[/tex].

[tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \frac{902}{1000}[/tex]

[tex]Z = 0.902[/tex]

[tex]Z = 0.902[/tex] has a p-value of 0.8164.

[tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = -\frac{902}{1000}[/tex]

[tex]Z = -0.902[/tex]

[tex]Z = -0.902[/tex] has a p-value of 0.1836.

0.8164 - 0.1836 = 0.6328.

0.6328 = 63.28% probability that a random sample of 100 accounting graduates will provide an average that is within $902 of the population mean.

A similar problem is given at https://brainly.com/question/24663213

Answer:

x = 5

Step-by-step explanation:

RS  +ST =  RT

2x + 10 + x - 4 = 21

2x + x + 10 - 4 = 21   {Combine like terms}

3x + 6 = 21

Subtract 6 from both sides

3x = 21 - 6

3x = 15

Divide both sides by 3

x = 15/3

x = 5

Answer:

6

Step-by-step explanation:

When you multiply two negative numbers, the result becomes posititve

Answer:

10 tutors

Step-by-step explanation:

48/6 = 8 student/tutor

78/8 = 9.75 tutors

10 tutors

Answer:

gọi x là số cần tìm, y là số sau khi chia. Ta có

y.8+6=x

y.7+5=x          

=>x= -2 , y= -1

Step-by-step explanation:

Answer:

six hundred and five thousand

Step-by-step explanation:

Answer:

$58.40

Step-by-step explanation:

Really simple stuff here once you know how percentages work.

10% of 73.00 is 7.30, which means that if we do:

7.30 * 2 that means we have 20%

So, 7.30 * 2 = 14.60

73.00 - 14.60 = $58.40

We can check this by doing

7.30 * 8 = $58.40

Answer:

corresponding angles

Step-by-step explanation:

Answer: A. -300

Step-by-step explanation: I hope this helps!

Correlation is the measure of the degree to which any two variables vary together.

If one variable tends to increase as the other variable decreases , the correlation is said to negative or inverse.

From the correlation we assess the strength of the relationship of two variables.

A  numerical measure of strength in the linear relationship between the two variables is called co efficient of simple correlation.

The  co efficient of simple correlation r is a pure number and assumes values from+1 to -1 .

r= -0.837295

The sign of r indicates the direction of the relationship or correlation.

It can be determined by finding the COV (X,Y)/ √Var (X) Var(Y)

In the given question it is calculated by using the excel sheet.

The correlation tab is found in the statistical column of the formula tab.

After entering the data in the excel the correlation tab is clicked and the rows cells are entered and the answer is obtained.

Another way is use the data analysis tab and click the correlation tab.

For both ways the following result is obtained .

r= -0.83729481

rounded to 6 places gives

r= -0.837295

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