Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?

y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis

Answer:

Ix - 950°C I ≤ 250°C

Step-by-step explanation:

We are told that the temperature may vary from 700 degrees Celsius to 1200 degrees Celsius.

And that this temperature is x.

This means that the minimum value of x is 700°C while maximum of x is 1200 °C

Let's find the average of the two temperature limits given:

x_avg = (700 + 1200)/2 =

x_avg = 1900/2

x_avg = 950 °C

Now let's find the distance between the average and either maximum or minimum.

d_avg = (1200 - 700)/2

d_avg = 500/2

d_avg = 250°C.

Now absolute value equation will be in the form of;

Ix - x_avgI ≤ d_avg

Thus;

Ix - 950°C I ≤ 250°C

Answer:

1/25

Step-by-step explanation:

Answer:

Step-by-step explanation: The absolute value of 58 is the distance between 58 and 0 on a number line. See illustration below where x is 58: Since the distance between 58 and 0 on a number line is 58, we get the answer as follows: |58| = 58. Note that the absolute value of 58 can also be written as abs (58) which may be useful to know if you have a good calculator.

Answer: -pi/6

Step-by-step explanation:

it's correct.

Answer

-pi/6

Step-by-step explanation:

got it on edge

Answer:

No, it has infinitely many solutions.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

x = 3 meets the requirement x ≥ 1 thus

f(x) = x + 1, so

f(3) = 3 + 1 = 4

Hope this helps

<3

Red

Answer:

Step-by-step explanation:

E2021

Answer:

5.6

Step-by-step explanation:

Sheryl got the following scores on her spelling tests.

95, 89, 99, 85, 82

Mean = sum of all observations/ Number of observations

Sum of all observations [tex]=95+89+99+85+82=450[/tex]

Number of observations = 5

So,

Mean [tex]=\frac{450}{5}=90[/tex]

Let M denotes the mean

Mean absolute deviation [tex]=\frac{\sum_{i=1}^{n}\left | x_i-M \right |}{n}[/tex]

Put [tex]n=5[/tex]

So,

Mean absolute deviation [tex]=\frac{\sum_{i=1}^{5}\left | x_i-M \right |}{5}=\frac{|95-90|+|89-90|+|99-90|+|85-90|+|82-90|}{5}=\frac{5+1+9+5+8}{5} =\frac{28}{5}=5.6[/tex]

Answer:

5.6

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

5,25,35,45,55,65

Answer:

342,000,000 miles difference

Step-by-step explanation:

jupiter: 484,000,000

mars: 142,000,000

484,000,000 - 142,000,000 = 342,000,000

I can not really see the question. Maybe take another photo?? That way, I can help better.

Answer:

Step-by-step explanation:

y+13+7y-7=2(4y+3)

8y+6=8y+6

which is true for all real values.

so number of solutions=infinite (all real values)

Answer:

20+10c

Step-by-step explanation:

-5(c)= -5c

-5(-2)=10

-5c+10=20-5c+10

Answer:

10.5 bottles of orange juice

Step-by-step explanation:

Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?

Number of bottles of orange juice = x

Number of bottles of soda water = y

The recipe calls for 3.5 times as many bottles of soda water as orange juice.

Hence,

x = 3.5y

If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle

We have:

3.70y + 0.90× 3.5= 20.55

3.70y + 3.15y = 20.55

6.85 = 20.55

y = 20.55/6.85

y = 3 bottles

Since, Number of bottles of soda water = y, Number of bottles of soda water = 3

Note that: x = 3.5y

x = 3.5 × 3

x = 10.5 bottles

Number of bottles of orange juice = x, Hence, number of bottles of orange juice = 10.5 bottles

Answer:

$12.50

Step-by-step explanation:

18 - 12 = 6

Brandon bought 6 less than Lance and payed $75 dollars shoes.

That means that 6 shirts cost $75.

We need to divide 6 from 75

75/6 = 12.5

So each shirt costs $12.50.

Hope this helped

Stay curious!

Answer: 209.48

Step-by-step explanation:

Answer:

Alex = 19 years

Bart's = 15 years

Carl = 8 years

Step-by-step explanation:

Let us represent their ages as

Alex = x

Bart's = y

Carl = z

the sum of the ages of the three brothers is 42

x + y + z = 42

Alex his age is three more than twice Carl's age

x = 2z + 3

The difference between Barts in Carl's ages is seven years

y - z = 7

y = 7 + z

Hence: we Substitute

x + y + z = 42

2z + 3 + 7 + z + z = 42

Collect like terms

2z + z + z + 10 = 42

4z = 42 - 10

4z = 32

z = 32/4

z = 8 years

Hence, Carl = 8 years old

a) y = 7 + z

y = 7 + 8

y = 15 years.

Hence, Bart's is 15 years old

b)x = 2z + 3

x = 2(8) + 3

= 16 + 3

= 19 years

Therefore, Alex is 19 years old.

Answer:

D the last one

Step-by-step explanation:

Answer:

I say D because new Orleans is closer to sea level than Salton Through

Step-by-step explanation:

Because ik it

Answer:

2. C

3. Also C

4. C again???

5: A

Step-by-step explanation:

Answer:

Kitchen sink

Step-by-step explanation:

Answer:

the line would be at x=15 and you would shade all to the left of the line and a point in that zone or on the line would work in the equation

Step-by-step explanation:

If you're asking for improper, It's -6/5.

If you're asking for decimal. it's -1.2

If you're asking for mixed number, It's -1 1/5.

Answer:

-2/15

Step-by-step explanation:

Apply the fractions formula for addition, to

− 45 + 23

and solve

( −4 × 3 ) + ( 2 × 5 ) 5 × 3

= − 12 + 10/15

= −2/15

Therefore:

−45+23= −2/15

Answer:

-5/10 equals to 5/-10 because even though the numerator/denominator is negative, when you simplify -5/10 or 5/-10, it give you -1/2 and 1/-2.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(28)

2x³ - 32x ← factor out 2x from each term

= 2x(x² - 16) ← difference of squares

= 2x(x - 4)(x + 4)

(29)

3x² + 6x + 3 ← factor out 3 from each term

= 3(x² + 2x + 1) ← perfect square

= 3(x + 1)²

(30)

[tex]x^{4}[/tex] - 81 ← difference of squares

= (x² - 9)(x² + 9) ← (x² - 9) is also a difference of squares

= (x - 3)(x + 3)(x² + 9)

(31)

5[tex]x^{5}[/tex] - 15[tex]x^{4}[/tex] + 10x³ ← factor out 5x³ from each term

= 5x³(x² - 3x + 2)

= 5x³(x - 1)(x - 2)

Answer:

The quotient will be less than 34

Step-by-step explanation:

When we talk of quotient, we are simply referring to the result of division.

Now, let’s divide 78 by 34, our answer is 2 10/34. The answer is slightly above two which in all terms is really less than 34.

So the correct answer to our question is that the quotient will be less than 34

Answer:

A Sasha, because the points are of different signs

Answer:

D

Step-by-step explanation:

I got it right in my test and I saw it in some other brainly question

Answer:

$17,160

Step-by-step explanation:

286,000·0.06=17,160

Answer:

C

Step-by-step explanation:

first, let's find the midpoint of line TR.

((x1+x2)/2, (y1+y2)/2)

(4+8)/2= x-coordinate= 6

(-4+-4)/2=y-coordinate=-4

(6,-4) is the point of A

now, use the distance formula for U (5,-6) and A (6,-4)

d= sqrt (x2-x1)^2 + (y2-y1)^2

d= sqrt (6-5)^2 + (-4-(-6))^2

d= sqrt (1+4)

d= sqrt 5

C. sqrt 5

Answer:

=28n2−27n

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's 60 5+5+5+5+5+5+5+5+5+5+5+5

Answer:

p=(t-s)/r

Step-by-step explanation:

This is an equation so all we have to do is solve backwards step by step:

rp+s=t

rp+s-s=t-s

rp/r=(t-s)/r

p=(t-s)/r