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What is the overlap of Data Set 1 and Data Set 2?
a) high
b) moderate
c) low
d) none

vertex :  (1,-3)

coordinates : (3,1)  and  (-1,1)

parabola formula : y = a(x -h)² + k

so given,

h = 1

k = -3

x = 3

y = 1

solve for a:

Therefore equation:

y = (x -1)² - 3

check the graph for confirmation:

Answer: Graph the parabola y=x2−7x+2 .

Compare the equation with y=ax2+bx+c to find the values of a , b , and c .

Here, a=1,b=−7 and c=2 .

Use the values of the coefficients to write the equation of axis of symmetry .

The graph of a quadratic equation in the form   y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .

Substitute x=72 in the equation to find the y -coordinate of the vertex.

y=(72)2−7(72)+2    =494−492+2    =49 − 98 + 84     =−414

Therefore, the coordinates of the vertex are (72,−414) .

Now, substitute a few more x -values in the equation to get the corresponding y -values.

x y=x2−7x+2

0 2

1 −4

2 −8

3 −10

5 −8

7 2

Plot the points and join them to get the parabola

in short terms D.

Answer:

Commutative property

Step-by-step explanation:

Commutative property: In multiplication, when the order of the two numbers are changed, then it doesnot affect the end result.

Answer:

A on edge 2022

Answer:

  4.8 m

Step-by-step explanation:

The area of a rectangle is the product of length and width. This relation can be used to find any of the dimensions when the other two are known.

__

Here, we know area and length, so we can find width.

  A = LW

  W = A/L = (29.76 m²)/(6.2 m) = 4.8 m

Mariosol's bedroom is 4.8 meters wide.

Answer:

3

Step-by-step explanation:

When you go from x=1 to x=3 you go up twice on the x-value. The y value also increases by 6 which means all you have to do is find the average.

6/2= 3

3 is the average increase between x=1 and x=3

Hope this helps!

Answer:

2 feet of cord

Step-by-step explanation:

Hey there!

In order to find out what the length of cord needed to make one lanyard, we need to take into consideration how much cord she needed to make for 6 lanyards

It says that she used 12 feet of cord to make 6 lanyards meaning that for one lanyard, she used 2 feet feet of cord to make one lanyard

To find that out, all you need to do is divide the two numbers together to find out how much cord was needed to make one lanyard

So Akeelah needs 2 feet of cord to make one lanyard

Answer:

See Below

Step-by-step explanation:

Put -5 in place of x

18(-5)-42 does not equal 7(-5)

-90-42 does not equal -35

-90-42=-132, not -35

The value x = -5 is a solution to the inequality 18x − 42 ≠ 7x.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

For showing x =-5 is a solution of the inequality 18x − 42 ≠ 7x put x =-5 in the solution if it satisfies the condition then it is a solution of the given inequality.

18x − 42 ≠ 7x

18 x ( -5 ) - 42 ≠ 7 x ( -5 )

-132 ≠ -35

The value x = -5 is satisfying the given inequality. Hence, x = -5 is a solution to the inequality 18x − 42 ≠ 7x.

To know more about inequality follow

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Answer:

14,11,8

Step-by-step explanation:

If f(1)= 17

and f(n)= f(n-1) -3

f(2)= f(2-1)-3

f(2)=f(1)-3

f(2)=17-3

f(2)=14

f(3)=f(3-1)-3

f(3)=f(2)-3

f(3)=14-3

f(3)=11

f4)=f(4-1)-3

f(4)=f(3)-3

f(4)=11-3

f(4)=8

Answer:

14, 11, 8

Step-by-step explanation:

Given recursive formula:

[tex]\begin{cases}f(1)=17\\f(n)=f(n-1)-3\end{cases}[/tex]

A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence f(n) provided you know the value of the previous term in the sequence f(n-1).

Therefore, the next 3 terms in the sequence are:

[tex]\begin{aligned}\implies f(2) & =f(2-1)-3\\& = f(1)-3\\& = 17-3\\& = 14\end{aligned}[/tex]

[tex]\begin{aligned}\implies f(3) & =f(3-1)-3\\& = f(2)-3\\& = 14-3\\& = 11\end{aligned}[/tex]

[tex]\begin{aligned}\implies f(4) & =f(4-1)-3\\& = f(3)-3\\& = 11-3\\& = 8\end{aligned}[/tex]

Answer: $9.55.

Step-by-step explanation: So far, Sarah's meal is $8.99 and her tax rate is 6.2%.  So 6.2% of $8.99 is 0.55738.  We have to add 0.55738 with 8.99 to find the total cost of her meal:

8.99 + 0.55738 = 9.54738, or $9.55.

Therefore, Sarah's bill has a total of $9.55 with the tax.

Hope this helps! :)

Answer:

618

Step-by-step explanation:

half means you divide by 2.

so 1,236/2=618

hope this helps

Answer:

618 oysters

Step-by-step explanation:

Given :

Solving :

Answer:

3:10

Step-by-step explanation:

3:10 is the ratio form of 3/10

Answer:

y = − x + 7

Step-by-step explanation:

let D be the line that passes through the points (5, 2) and (10, -3) 

Then D has an equation of the form D: y = mx + p

Now we need to find m and p in order to be able to write the equation of the line D:

[tex]m = \frac{2-(-3)}{5-10} = \frac{5}{-5} = -1[/tex]

Since the point (5 , 2) lies on the line D then :

2 = -1 × (5) + p

then

2 = -5 + p

then 

p = 2 + 5 

  = 7

then

p = 7

Conclusion:

Since m = -1 and p = 7

then

[tex]D : y = -x + 7[/tex]

Answer:

[tex]y=-\frac{3}{4}x+4[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Use two points on the line to find the slope (m)

(4, 1) and (-4, 7)

[tex]m=\frac{7-1}{-4-4} \\\\m=\frac{6}{-8}\\\\m=-\frac{6\div2}{-8\div2}\\\\m=-\frac{3}{4}[/tex]

y = mx + b

[tex]y=-\frac{3}{4}x+b[/tex]

Now we find b, using either (4, 1) or (-4, 7)

(4, 1)

[tex]y=-\frac{3}{4}x+b\\\\1=-\frac{3}{4}(4)+b\\\\1=-3+b\\+3 +3\\\\4=b[/tex]

[tex]y=-\frac{3}{4}x+b== > y=-\frac{3}{4}x+4[/tex]

Check your answer using either of the points:

[tex](4,1)\\y=-\frac{3}{4}x+4\\\\1=-\frac{3}{4}(4)+4\\\\1=-3+4\\\\1=1[/tex]

This statement is true

Therefore, our final answer is [tex]y=-\frac{3}{4}x+4[/tex]

Hope this helps!

Answer:

d

Step-by-step explanation:

Answer: d

Step-by-step explanation:

The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

⇒ ABCD is a parallelogram.

Now, We have complete table is,

Statements                        Reasons

1) AD || BC                     Definition of parallelogram.

2) ∠ADB ≅ ∠CBD          Alternate interior angle theorem.  

3) AB || CD                    Definition of parallelogram.

4) ∠ABD ≅ ∠CDB         Alternate interior angle theorem.  

5) DB ≅ DB                  Reflexive property of congruence.

6) ΔABD ≅ ΔCDB         By SAS congruency theorem.

Thus, The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

Learn more about the rectangle visit:

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Answer:

there are no solutions

Answer:

6,000 meters.

Step-by-step explanation:

Denali is 6,190 meters so round it off to 6000.

Answer: 6,200

Step-by-step explanat

Denail 6,190 and if it is 50 up then you round up and if it if 50 down then you round down. In this case it is higher than 50 cause it is 6,190 so you round up.

Therefore, the answer should be 6,200

Answer:

C & D

Step-by-step explanation:

The two answers would be the same.

Hope this is correct.

BTW today is my bday.

Step-by-step explanation:

[tex] \frac{0.063}{0.9} = x \\ x = \frac{0.021}{0.3} \\ x = \frac{21}{300} \\ x = \frac{7}{100} \\ x = 0.07[/tex]

Answer:

A. x≠npi is right B. x≠pi/2+npi,C. x≠npi/2,D. X≠27npi are wrong

Answer:

B. pi/2 + npi

Step-by-step explanation:

trust me brother

Answer:

4 electric guitars and and 5 acoustic guitars were sold.

Step-by-step explanation:

Electric guitars:  [tex]x[/tex]

Acoustic guitars: [tex]y[/tex]

[tex]y + x = 9\\y(339) + x(479) = 3611\\[/tex]

--------------------------------

[tex]y + x = 9\\339y + 479x = 3611[/tex]

--------------------------------

[tex](y + x = 9)339\\(339y + 479x = 3611)1[/tex]

--------------------------------

[tex]339y + 339x = 3051\\339y + 479x = 3611[/tex]

--------------------------------

[tex]-140x = -560\\x = \frac{-560}{-140} \\x = 4[/tex]

Choose any of the two equations in the first step and substitute 4 for [tex]x[/tex].

[tex]y + 4 = 9\\y = 9 - 4\\y = 5[/tex]

Therefore, there are 4 electric guitars and and 5 acoustic guitars were sold.

Note: In the elimination method of simultaneous equations, (+) + (+) = (-); (+) + (-) = (+) and (-) + (+) = (+) the signs addition or subtraction.

Using it's concept, it is found that the probabilities are given by:

a) 0.26 = 26%.

b) 0.179 = 17.9%.

c) 0.615 = 61.5%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

8 + 5 = 13 correct translations out of 28 + 22 = 50 students, hence:

p = 13/50 = 0.26 = 26%.

Item b:

5 correct translations out of 28, hence:

p = 5/28 = 0.179 = 17.9%.

Item c:

There are 13 correct translations, and of those, 8 are from section 2, hence:

p = 8/13 = 0.615 = 61.5%.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer - 25.761-17.49=?

Then,

the answer is 8.271

use brainly to find the answer

Answer:

the answer is not you or anything is not

Answer:

Graphed verison:

See screenshot below! :^)

Solution version:

[tex]x > \frac{5}{4}y+5[/tex]

Step-by-step explanation:

For graphed verison:

See screenshot below.

For solution version:

[tex]4x-5y > 20[/tex]

Step 1: Add 5y on each side:

[tex]4x-5y+5y > 20+5y[/tex]

[tex]= 4x > 5y+20[/tex]

Step 2: Divide both sides by 4:

[tex]\frac{4x}{4} > \frac{5y+20}{4}[/tex]

[tex]= x > \frac{5}{4}y + 5[/tex]

Therefore, your answer is [tex]x > \frac{5}{4}y + 5.[/tex]

Hope this helped! :^)

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- ✨7272033Alt✨

Submitted on 4/15/2022 at 10:43 PM

(To avoid plagarism, by users whom decide to copy.)

10 green cubes and 6 yellow cubes

hope it helps...!!!

Answer:

D

Step-by-step explanation:

The formula for y=

y=(slope)x-(y intercept).

So, we are given -3 and -2 in the places-

y=(slope)-3x-(y intercept)-2

So, the answer is -3 and -2.

(D)

Answer:

994

Step-by-step explanation:

Answer:

994

Step-by-step explanation:

Given the expression

[tex](8+t)^{3}-6[/tex]

Also given

[tex]t=2[/tex]

We can substitute 2 for t.

[tex](8+2)^{3}-6[/tex]

Do the parenthesis first.

[tex]8+2=10[/tex]

Therefore

[tex]10^{3}-6[/tex]

Evaluate [tex]10^{3}[/tex]

[tex]10^{3}=1000[/tex]

[tex]1000-6=994[/tex]