There exist integers min such that m minus n is less tha or equal to m plus n.​

Answer:

Coordinates A and B: (1, 0) and (3, 0)

Coordinates of P: (0, 3)

Coordinates of Q: (2, -1)

Step-by-step explanation:

You're pretty much given the x-intercepts from the original equation.

y = (x - 1)(x - 3). So to get the x-intercepts (points A and B), y has to equal 0. So,

0 = (x - 1)(x - 3).

and y = 0 when x equals 1 and 3. Because anything multiplied by 0 equals 0. So substituting 1 for the value of x, for example, we get:

0 = (1 - 1)(1 - 3)

0 = 0 * (-2)

So there are your x-intercepts, points A and B.

Now,

Expand the brackets of the equation.

y = (x - 1)(x - 3) becomes

y = x^2  -  4x  + 3

You get the y-intercept (point P) by substituting 0 for the value of x. Doing so gives:

y = 0^2 - 4*0 + 3

y = 0 - 0 + 3

y = 3

So, we have our y-intercept (0, 3).

Point Q, the x-coordinate of the vertex is calculated with the equation -b/2a

Taking our expanded equation: x^2 - 4x + 3

which is of the form ax^2 + bx + c

So we find the values of a, b and c and input the values into the equation

a = 1

b = -4

c = 3

So, inputting these into the vertex equation, gives:

-(-4) / 2 * 1

4 / 2

2

So we have the x-coordinate of the vertex. Now that we know that, we can just substitute it into the expanded equation to give the y-coordinate:

y = 2^2 - 4*2 + 3

y = 4 - 8 + 3

y = -1

So there's our y-coordinate, and now we have both the x and y coordinate for the vertex, point Q. (2, -1).

Answer:

my brother said it was  

Step-by-step explanation:

1400.053...

Answer:

21. 123    22. 6.86 or 6/ 6/7  23. 90

Step-by-step explanation:

21. (6+4)² + (22+10÷2)

     (10)² + (22 + 5)

        100 + 27

           127

22. (11+42-5) ÷ (11-4)

         48 ÷ 7

        6.85 or 6 6/7

23. (17-3) × (14 - 6) -22

         14 × 8 - 22

         112 - 22

           90

Answer: 3

Step-by-step explanation:

Answer:

a= 6-b ,,, a+b=6

a+b= -2a-3,,, 3a+b=-3

2a=-9,,, a= -9/ 2

b= 21/2

I made an f in math last year

Answer:

a) 1.8

b) 11.8

c) 23.6

Step-by-step explanation:

1) 2.4+1.6+3.2+0.3+1.5=9

you divide 9 by 5 because that is the number of elements in the data.

9/5=1.8

2) the total would be 50 more because 5*10=50.

50+9=59

59/5=11.8

3) i think this question is referencing the previous question.

59*2=118

118/5=23.6

Answer:

C.

Step-by-step explanation:

After the given, you need another pair of congruent angles to prove the triangles congruent by AAS. Those angles you need are vertical angles, so they are congruent.

Answer: C.

Answer:

  Answer B    5.5x + 9

Step-by-step explanation:

Perimeter is the distance around the three sides of the triangle

P = (0.3x + 24) + (5x) + (0.2x - 15)

P = (0.3x + 5x + 0.2x) + (24 - 15)

P = 5.5x + 9

Answer:

the answer is 1.6

Step-by-step explanation:

So for this you use a formula which is

a2 + b2 = c2

You name the highest one c, the rest are you choice

so now it will be - x2 + 7 2 = 14 2

you now square them,

now they will be x2 + 49 = 196

now it will be easy to solve it.

Answer:

0.6

Step-by-step explanation:

Lets plug these points in:

[tex]\frac{((-6)-0)}{(0-10)} =\frac{-6}{-10} =0.6[/tex]

Answer:

1.1

Step-by-step explanation:

slope = (-4-7)/(-6-4)= -11/-10 = 1.1

Answer:

$3,039.79

Step-by-step explanation:

Answer:

6/11

Step-by-step explanation:

I don't know that's what my mom said

Answer:

2hr 48 minutes

Step-by-step explanation:

65t + 85t = 420

150t = 420

t = 2 120/150 = 2 4/5 = 2hr 48 minutes

Time taken by two trains to cover 420 miles is 2hr 48 minutes.

Given, that two trains are travelling towards each other.

Relation between speed, time and distance:

Distance = Speed × Time

When the two trains are travelling towards each other the speeds of two trains are added.

When the two trains are moving in same direction then the relative speed is difference of the two.

So, here the trains are moving towards each other.

65t + 85t = 420

150t = 420

t = 420/150

t = 42/15

t = 2hr 48 minutes

Therefore total time required by two trains to meet is  2hr 48 minutes.

Know more about speed, time and distance,

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Answer:

look at the photo..............

9514 1404 393

Answer:

  log₅(21) = log₅(3) +log₅(7)

Step-by-step explanation:

The relevant relation is ...

  log(ab) = log(a) +log(b)

where the logs have any consistent base.

__

Here, we have ,,,

  ab = 21 = 3·7.

Then ...

  log(21) = log(3) +log(7)

When the logs are to base 5, that becomes ...

  log₅(21) = log₅(3) +log₅(7)

9514 1404 393

Answer:

  b)  31%

Step-by-step explanation:

95% of the normal distribution is between Z values of ±1.96.

99% of the normal distribution is between Z values of ±2.576.

The change from a 95% interval to a 99% interval widens the range by ...

  (2.576/1.96 -1) × 100% ≈ 31.4%

The width of the interval increases about 31%.

__

Compare the two attachments. The tail area of 0.05 means the central area is 0.95. Similarly, the tail area of 0.01 means the central area is 0.99.

_____

Additional comment

As always, when you're dealing with percentages, you need to understand what the base value is. Here, when we're talking about 95% and 99% confidence intervals, we're not talking about the numbers 0.95 and 0.99 and the increase from 0.95 to 0.99.

Rather we're talking about areas under the normal probability distribution curve, and the Z-values associated with those intervals. The change in interval width refers to the change in Z-values associated with the areas of 0.95 and 0.99.

9514 1404 393

Answer:

  400 minutes

Step-by-step explanation:

The cost of the first plan is ...

  A = 14 + 0.15m . . . . . . . . where m is the number of minutes used

The cost of the second plan is ...

  B = 30 + 0.11m

The costs will be equal when ...

  14 +0.15m = 30 +0.11m

  0.04m = 16 . . . . . . . . . . . . . subtract 14+0.11m from both sides

  m = 400 . . . . . . . . . . . . . . . divide by 0.04

The plans will have the same cost for 400 minutes of calls.

Answer:

Click on the 2

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

4/5 divided by 2/3 in simplest form is 6/5.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

4/5 divided by 2/3

Now,

=(4/5)/(2/3)

=12/10

=6/5

Therefore, by algebra answer in simplest form will be 6/5.

More about the Algebra link is given below.

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Answer:

48

Step-by-step explanation:

6 + 14 ÷ 7

= 8

= 8 _ 2× 3

= 8_ 6

=8×6

=48

Answer:

1.25 or 1 1/4

Step-by-step explanation:

1 ounce is 0.0625 pounds

therefore 20 oz = 1.25 or 1 1/4

I think it is B

It makes the most sense to me to do that

Answer:

Sean paid 0.25 more cents than Cal.

Step-by-step explanation:

Cal's problem: 2.4 * 2.55 = 6.12

Sean's problem: 2.6 * 2.45 = 6.37

Answer:

I think 0.25

Step-by-step explanation:

Multipled 2.4 and 2.55 then multipled 2.6 and 2.45. I got 6.12 and 6.37 Then subtracted them and got 0.25

Answer:

863.83

Step-by-step explanation:

es por qué es un número multimedios y los los número se asen pares

dl

Answer: Obtuse, Right, Acute

Step-by-step explanation:

ABC: 5²+ 7² = 10²

25 + 49 = 100

c is greater so it is obtuse.

JKL: 12² + 35² = 37²

144 + 1225 = 1369

1369 = 1369

legs are equal to c so it is right.

PQR: 13² + 10² = 16²

169 + 100 + 256

269 = 256

c is less so it is acute.

Answer:

210

Step-by-step explanation:

210 students attend the school. if 60 students are taking art, and there are 2 art students in every 7 students, that means there are 30 groups of 7 because 30×2=60 so since the other 5 do not take art, you would multiply 30×5 and get 150. Then you would add 60 and you would get 210

Answer:23

Step-by-step explanation:10 people make up 30 percent so we have 33 people . 33 - 10 = 23