What would x be in px + 3 = k

t p = through point

s = slope

[tex]y - y(t \: p) = (s) \times ( \: x - x(t \: p) \: ) \\ [/tex]

[tex]y - ( - 7) = \frac{5}{2} \times (x - 4) \\ [/tex]

[tex]y + 7 = \frac{5}{2} \times (x - 4) \\ [/tex]

[tex]y + 7 = \frac{5}{2}x - \frac{5 \times 4}{2} \\ [/tex]

[tex]y +7 = \frac{5}{2}x - \frac{20}{2} \\ [/tex]

Subtract both sides -7

[tex]y = \frac{5}{2}x - 10 - 7 \\ [/tex]

[tex]y = \frac{5}{2}x - 17 \\ [/tex]

And we're done....

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The equation in slope-intercept form is y= 5/2x - 17.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Slope = 5/2

and, point (4, -7).

Using Slope- intercept form

y = mx + b

y= 5/2x + b

As, the line passes through (4, -7)

-7 = 5/2(4) + b

-7 = 5(2) + b

-7 = 10 + b

b= -17

So, the Equation of line is y= 5/2x - 17.

Learn more about slope here:

https://brainly.com/question/3605446

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Answer:

Hey!

I think the line must be LINE R

Step-by-step explanation:

As you can see it must be the Line of Reflection for both figures because it is EQUIDISTANT (equal distance from the 2 shapes). It runs PARALLEL in angle to the shapes too...

It can't be Line P because the line does not produce equal shapes on either side of it...

It can't be Line Q because it only provides the reflection result on one of the shapes, not BOTH...

So your answer is Line R

**pls let me know if its wrong**

Answer:

its pretty simple actually put a point after the -1 (-0.9) and move left twice from -1 to get the plot point -1.2

Answer:

The approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709

Step-by-step explanation:

[tex]\mu = 192[/tex]

[tex]\sigma = 31[/tex]

No. of passengers = n = 21

We are supposed to find the approximate probability that the total weight of the passengers exceeds 4432 pounds

[tex]x = \frac{4432}{21} \sim 211[/tex]

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{211-192}{31}[/tex]

Z=0.612

refer z table

P(Z<211)=0.7291

P(Z>211)=P(Z>4432)=1-0.7291=0.2709

Hence the approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709

Answer:

the scale factor is 9 and x = 58.5

Step-by-step explanation:

to get the scale factor just do DE/AB so 27/3

Answer:

x > 2

Step-by-step explanation:

Step-by-step explanation:

The given equation or expression is used to determine the total cost of buying carnival tickets.

the total cost is y

Also from the expression the cost of a ticket is $2.5

and x represents the number of tickets

now say x=5, that is 5 tickets, then the cost of buying the 5 tickets is given as

y=2.5(5)

y=12.5

Hence the cost of 5 tickets is $12.5

Answer:

40

Step-by-step explanation:

Working backwards, he has to get 140 from working hours alone. 140/3.5=40. He has to work 40 hours to get at least 165

Answer:

The amount of time that Sarah sleeps is 6<x<8

Step-by-step explanation:

Mathematical inequality is that proposition that relates two algebraic expressions whose values ​​are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.

A compound inequality (or combined inequality) is two or more inequalities joined with or and and.

When two inequalities are joined with and, they are often written as a double inequality.

You know that teenagers should sleep between 8 and 10 hours per night.. Being x the number of hours slept per night, this can be represented by the following double inequality:

8<x<10

If Sarah normally sleeps 2 hours less per night, this indicates that she sleeps between (8-2) and (10-2) hours per night, that is, between 6 and 8 hours. Represented by a double inequality, Sarah normally sleeps:

6<x<8

The amount of time that Sarah sleeps is 6<x<8

Wouldn't the answer be any number which has the hundredths place as a 5? For example, 23,521.

As 50 x 10 = 500 and the 5 in 23,521 represents 500.

Answer:

2 19/21, 61/21

Step-by-step explanation:

First, lets make the denimonators, "3 and 7" common. 3 and 7 are prime numbers, so the common denonminator is "21".

For 7/3, multiply by "7/7" and for 4/7 multiply by "3/3".

49/21 + 12/21

Add.

61/21

61 is a prime number so this answer will be your final answer.

(unless you have to put it as a mixed number which would be 2 19/21)

Answer:

61/21

Step-by-step explanation:

The 2 fractions must have a common denominator and you do that by finding the LCM and the multiply the numerators by what you multiplied the denominators by in order to get that number. From here you must add the numerators together and keep the denominator the same and then you get that answer. You cannot simplify anymore so your answer is above.

(hope you get it right)

Mark Brainliest Please

Answer:

b= 13.................................

Step-by-step explanation:

143/11

Answer:

The Answer is x^2/2

Step-by-step explanation:

The ^ is the power of _

In this case ^ is the power of 2.

Answer:

x = 32

m∠7 = 94

m∠8 = 86

m∠3 = 94

Step-by-step explanation:

(2x + 30) + (3x - 10) = 180

5x + 20 = 180

5x = 160

x = 32

m∠7 = 2(32) + 30 = 94

m∠8 = 3(32) - 10 = 86

or

m∠8 = 180 - 94 = 86

m∠3 ≈ m∠7 (corresponding angles)

Answer:

85

Step-by-step explanation:

The equation for the discriminant is

b^2-4(a)(c)

Plug your numbers in from the equation.

1=a, -7=b, -9=c

(-7)^2-4(1)(-9)

49-(-36)

49+36

85

Answer:

Step-by-step explanation:

Complete question :

A coin is tossed and a die is rolled. Find the probability of tossing a tail and then rolling a number greater than 2.

Answer : 1/3

Step-by-step explanation:

For a coin :

Sample space = (T, H)

Probability = required outcome / Total possible outcomes

Probability of tail, p(T) = 1 / 2 = 0.5

For a fair die:

Sample space = (1, 2, 3, 4, 5, 6)

Required outcome = number greater than 2 = (3, 4, 5, 6) = 4

P(number greater than 2) = 4/6 = 2/ 3

Hence, probability of a tail, then a number greater than 2 :

(1/2 * 2/3) = 2 /6 = 1/3

Answer:

#1

Step-by-step explanation:

-10 + 4 i

the the rate of change is two if you had to describe this a verbal statement you would say each point goes up by two every point.

Answer:

Tracy must buy 4 apple pies, 4 banana pies, and 8 chocolate pies.

Step-by-step explanation:

The complete question would be:

"Tracy wants to buy some pies for her sisters and she has a budget of $82 to spend on $5 apple pies, $4.5 banana pies, and $5.5 chocolate pies. She wants 16 pies for her sisters and must buy as many chocolate pies as apple pies and banana pies combined. How many of each item should she buy?

Write a system of equations of this problem."

Then, we will write a system of equations according to the information given in the problem:

We must consider each type of pie as an unknown, so:

x: the amount of apple pies

y: the amount of banana pies

z: the amount of chocolate pies

As she has a budget of $82, the amount of each pie must be multiplied by its price and the total sum must be 82:

5x + 4.5y + 5.5z =82 (1)

The total amount of pies must be 16:

x + y + z = 16 (2)

And the amount of chocolate pies must be equal to the quantity of apple pies and banana pies combined:

z= x + y (3)

System of equations:

(1) 5x + 4.5y + 5.5z =82

(2) x + y + z = 16

(3) z= x + y

First, we subtract x and y on 3 on both sides:

z - (x + y )= x + y - (x + y)

-x -y +z = 0

Then, we add 2 and 3:

(2) x + y + z = 16

(3) -x -y +z = 0

2 z=16

z=8

We replace the value of z on 3 and substract x on both sides:

x + y =8

y=8 - x

We use this on equation 1:

5x + 4.5y + 5.5z =82

5x + 4.5×(8-x) + 5.5×8=82

5x + 36 - 4.5x + 44 = 82

0.5x + 80 =82

0.5x=82-80

0.5x=2

x=2/0.5

x=4

We replace the values of x and z on equation 2:

x + y + z = 16

4 + y + 8 = 16

y + 12 = 16

y=16-12

y= 4

Tracy must buy 4 apple pies, 4 banana pies, and 8 chocolate pies.

Answer:

1. 2(x + y) = 180

2. His sandbox needs to be 8 ft wide.

Step-by-step explanation:

4×134.80 +55.95

539.2+55.95 =$595.15

the answer is A

Answer:

the answer is A

Step-by-step explanation:

my teacher went over the question and i just want to help :)

Answer:

nope

Step-by-step explanation:

Answer:

no they are not

Answer:

z=2

Step-by-step explanation:

Just solve

1 + z = 3 (minus 1 on both sides)

z = 2

Plug in

3=(2+1)

3 = 3

Answer:

4mm

Step-by-step explanation:

The ratio of the two congruent shapes are 2.5:1

15 : 6 = 2.5 : 1

15/6 = 2.5

5 : 2 = 2.5 : 1

5/2 = 2.5

Therefore, 10 : x = 2.5 : 1

10/x = 2.5

x = 4

Answer: 15, 2, 6, and 5

Step-by-step explanation: they are equal to the measurements listed

Answer:

52 min

Step-by-step explanation:

Answer:

answer                B

Step-by-step explanation:

just got it right on the test.

Answer:

the answer is B, Maria listed factors of each number instead of multiples.

Step-by-step explanation: