Write the addition modeled on the number line.

Answer:

y = 2 for x < 0

     x for 0 ≤ x < 3

     3 for x ≥ 3

Step-by-step explanation:

From the graph attached,

Equation of line (1),

y = 2

Where x < 0

Let the equation of line (2) is,

y = mx + b

y-intercept 'b' = 0 [line (2) passes through origin]

Slope of the line 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                 = [tex]\frac{3}{3}[/tex]

                                 = 1

Therefore, equation of line (2) will be,

y = x

where 0 ≤ x < 3

Equation of line (3) will be,

y = 3

Where x ≥ 3

Therefore, piecewise linear function will be,

y = 2 for x < 0

     x for 0 ≤ x < 3

     3 for x ≥ 3

Answer:

180psi

Step-by-step explanation:

Step one:

given data

P1= 900 psi

T1= 350°C

P2=?

T2=70°C

Required

The final pressure P2

Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up

Applying the expression

P1/T1= P2/T2

substitute:

900/350= P2/70

2.57=P2/70

cross multiply

P2= 2.57*70

P2=180psi

Answer:

The correct solution is 4

Step-by-step explanation:

64÷4^2

64÷16

=4

Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define Expression

64 ÷ 4²

Step 2: Evaluate

Answer:

Unknown

Step-by-step explanation:

dskljgjfhgdiagljhbajfhglvibliahgviyglvaj

Answer:

The tax was too much for me

Step-by-step explanation:

Sorry, Im a noob

dsx

sds

xdscxzxas

x

zszx

Answer:

a₁ = - 148

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given d = 2 and a₃₁ = - 88 , then

a₁ + (30 × 2) = - 88

a₁ + 60 = - 88 ( subtract 60 from both sides )

a₁ = - 148

a₁ = - 148

Step-by-step explanation:

The n th term of an AP is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given d = 2 and a₃₁ = - 88 , then

a₁ + (30 × 2) = - 88

a₁ + 60 = - 88 ( subtract 60 from both sides )

a₁ = - 148

Answer:

17 inches

Step-by-step explanation:

Step-by-step explanation:

JOIN MY ZOOM MEETING

ID-9384026088

PASSWORD-1234

Answer:

The answer for this is x=-5

Answer:

x=-5

Step-by-step explanation:

-4x+1=21

move the 1 to the right side and subract it so it will turn into -4x=20

divide -4 to get the x by itself and then you will get x=20/-4 this will now divide and be x=-5

Answer:

when the plant at the end dies

Answer:

IQR= (16)−(10)=6

Thus, option 'C' is true.

Step-by-step explanation:

Given the data

8, 9, 9, 10, 12, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20

The interquartile range is equal to the difference between the 75th and the 25th percentiles

The 25th percentile is 10

The 75th percentile is 16

Finally,

IQR= (16)−(10)=6

Thus, option 'C' is true.

Answer: it’s 8 to 14 number c

Step-by-step explanation:

Let me know if I’m wrong

The ratio equivalent to 20 to 35 is 8 to 14.

Option C is the correct answer.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

20 to 35

This can be written as,

= 20/35

= 5 x 4 / 5 x 7

= 4/7

Now,

5 to 7 = 5/7

7 to 5 = 7/5

8 to 14 = 8/14 = 4/7

14 to 8 = 14/8 = 7/4

Thus,

20 to 35 is the same as 8 to 14.

Learn more about ratios here:

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Answer:

6

Step-by-step explanation:

try mulyipling each sequence by 6

Answer:

y=2/3x +5

hope this helps

Answer:

[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Explanation

[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]

[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]

[tex] \implies \: 9y - 27 = 6x + 18[/tex]

[tex] \implies \: 6x - 9y + 45=0[/tex]

[tex] \implies\:2x-3y+15=0[/tex]

Hence the equation of the line is

[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Answer:

24$

Step-by-step explanation:

Answer:

D. y=3x+15

Step-by-step explanation:

find the slope

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

y=mx+b

plug in known values

3=3(-4) + b

b=15

y=3x+15

Answer:

m∠DBC is 43°

Step-by-step explanation:

Let us solve the question

∵ D is in the interior of ∠ABC

→ That means D divides ∠ABC into two angles ABD and DBC

∴ m∠ABD + m∠DBC = m∠ABC

∵ m∠ABD = (3x + 5)°

∵ m∠DBC = (5x - 7)°

∵ m∠ABC = 78°

→ Substitute them in the equation above

∴ 3x + 5 + 5x - 7 = 78

→ Add the like terms in the left side

∵ (3x + 5x) + (5 + -7) = 78

∴ 8x + -2 = 78

∴ 8x - 2 = 78

→ Add 2 to both sides

∴ 8x -2 + 2 = 78 + 2

∴ 8x = 80

→ Divide both sides by 8

∴ x = 10

→ To find m∠DBC, substitute x by 10 in its measure

∵ m∠DBC = 5(10) - 7

∴ m∠DBC = 50 - 7

∴ m∠DBC = 43°

Answer:

linear regression: S = 2.3n - 4.2

Step-by-step explanation:

Answer: its c

Step-by-step explanation:

its c

Answer:

(-∞,+∞)

Step-by-step explanation:

The function is a continuous quadratic function

Answer:

2.4

Step-by-step explanation:

v=3/25

d=3/25 * 20=12/5=2.4

hope this help

Answer:

37.4

Step-by-step explanation:

The most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.

Given that, Pat has a fever of temperature is 99.3° F.

Celsius to Fahrenheit is the conversion of temperature from Celsius unit to Fahrenheit unit. Temperature scales provide a way of measuring how hot or cold a body is. Fahrenheit and Celsius are temperature scales.

The formula to convert Celsius to Fahrenheit is given by: °F = °C × (9/5) + 32.

The formula to convert Fahrenheit to Celsius is C=5/9(F-32)

Now, C= 5/9 (99.3-32)

= 5/9 × 67.3

= 37.39°

Hence, the most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.

To learn more about the Celsius to Fahrenheit conversion visit:

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Answer:

y=-3x-9

Step-by-step explanation:

Answer:no it does not

Step-by-step explanation:

In order for it to round up it would have to be 82.5 or higher.

Answer:

No. To round up to 83 the number has to be 82.5 or higher.

Answer:

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Neither

Line 2 and Line 3: Neither

Step-by-step explanation:

We will write all lines in slope intercept form i.e [tex]y=mx+b[/tex]

where m is slope.

And check

a) If two lines are parallel they have same slope [tex]m_1=m_2[/tex]

b) If two lines are perpendicular they have opposite reciprocal slopes i.e [tex]m_1=-\frac{1}{m_2}[/tex]

Equation for Line 1: [tex]y=-\frac{4}{3}x-4[/tex]

Already in slope-intercept form

Slope for Line 1 m is: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex]

Equation for Line 2: [tex]6x-8y=-6[/tex]

Converting into slope-intercept form:

[tex]6x-8y=-6\\-8y=-6x-6\\y=\frac{-6x-6}{-8}\\y=\frac{-6x}{-8}+\frac{-6}{-8} \\y=\frac{3x}{4}+\frac{3}{4}[/tex]

Slope for Line 2 m is: [tex]\mathbf{m_2=\frac{3}{4}}[/tex]

Equation for Line 3: [tex]-4y=3x+7[/tex]

Converting into slope-intercept form:

[tex]-4y=3x+7\\y=-\frac{3}{4} -\frac{7}{4}[/tex]

Slope for Line 3 m is: [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Now, finding answers

Line 1 and Line 2

Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_2=\frac{3}{4}}[/tex]

Both lines are perpendicular because they have opposite reciprocal slopes

Line 1 and Line 3

Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Slopes are neither same, nor opposite reciprocal, so they are neither

Line 2 and Line 3

Checking their slopes: [tex]\mathbf{m_2=\frac{3}{4}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Slopes are neither same, nor opposite reciprocal, so they are neither

The answers are:

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Neither

Line 2 and Line 3: Neither

Answer:

its c

Step-by-step explanation:

took the test

Karen performed a transformation of (C) counterclockwise rotation of 90 degrees about origin

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is at A'(-y, x).

Parallelogram ABCD has vertices at A(-4,-1) , B (-7,-6) , C (-14, -6) , D(-11, -1), if it is rotated 90° counterclockwise about the origin, the new point would be at A'(1.-4) , B'(6.-7),  C'(6.-14) , D'(1.-11)

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