What is the graph of the function rule y=1/3x−1

Answer:

Slope: 3

Y-intercept: -1

Linear equation: y=3x-1

Answer:

He will do 75 Knee lifts

Step-by-step explanation:

Every minute, he does 25 knee lifts.

We know this by dividing 50 and 2 which is 25

We multiply by three after because he is doing knee lifts for three minutes.

25 x 3 = 75

Responder:

$ 2.5 y $ 3

Explicación paso a paso:

Paso uno:

datos dados

Sea xey el costo por libra de chispas de chocolate y nueces, respectivamente

por lo tanto

2x + 5y = 20 ------ 1

y

8x + 3y = 29 ------ 2

resolviendo 1 y 2 simultáneamente tenemos

2x + 5y = 20 (multiplicar la ecuación por 4)

8x + 20y = 80 ------------- 3

restar eqn 2 de 3

8x + 20y = 80 ------------- 3

8x + 3y = 29 ----------------- 2

0 + 17 años = 51

divide ambos lados por 17

y = 51/17

y = 3

El costo de las nueces por libra = $ 3

poner y = 3 en 8x + 3y = 29 ------ 2

8x + 3 (3) = 29 ------ 2

8x + 9 = 29

8x = 29-9

8x = 20

divide ambos lados entre 8

x = 20/8

x = 2,5

El costo del chocolate por libra = $ 2.5

Answer:

Exterior Angle 1 (2x-10): 140 degrees

Exterior Angle 2 (x+25): 130 degrees

Exterior Angle 3 (right angle): 90 degrees

Step-by-step explanation:

Givens:

Angle 3 = 90 degrees

Angle 1 + Angle 2 + Angle 3 = 180 degrees

Angle 1/2/3 + exterior angle = 180 degrees -> 180 - Angle1/2/3 = exterior angle

Step 1: Solving for x.

1. Using the first equation above, substitute the angles.

(2x-10) + (x+25) + 90 = 180

2. Combine like terms.

3x + 105 = 180

3. Solve for x.

3x = 75

x = 25

Step 2: Solving for angle 1 and 2.

Plug 25 in for x for both angles

Angle 1:

(2(25)-10) = 40 degrees

Angle 2:

((25)+25) = 50 degrees

Step 3: Solving for exterior angles.

Plug in the knowns to the second equation above and solve.

Angle 1:

180 - 40 = 140 degrees

Angle 2:

180 - 50 = 130 degrees

Angle 3:

180 - 90 = 90 degrees

I hope this helps!

Answer:

x=25

Step-by-step explanation:

90+2x-1-+x+25=180

3x+105=180

    -105 -105

3x/3=25/3

Meaning x=25

y=1-i

x=-3/2-i/2

thats what it should be

Answer:

Each box weighs 0.18 kilogram.

Step-by-step explanation:

We can do proportions to solve.

[tex] \frac{1.29 \: kilograms}{7 \: boxes} = \frac{x}{1 \: box} \\ \\ \frac{7x}{7} = \frac{1.29}{7} \\ \\ x = 0.18 \\ x = 0.18 \: kilogram[/tex]

All terminating decimals are rational numbers

In this case,

3.12311 = 312311/100000

which shows that 3.12311 can be written as a ratio of two integers, therefore making it a rational number.

Answer: The blue whale's weight is 150 times heavier than the narwhal's weight.

Step-by-step explanation:

Given: Weight of Blue whale = [tex]3\times10^5\text{ pounds}[/tex]

Weight of Narwhal = [tex]2\times10^3\text{ pounds}[/tex]

Number of times blue whale's weight  is heavier than the narwhal's weight = [tex]=\dfrac{\text{Weight of Blue whale}}{\text{Weight of Narwhal }}[/tex]

[tex]=\dfrac{3\times10^5}{2\times10^3}\\\\=1.5\times10^{5-3}\ \ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=1.5\times10^2\\\\=1.5\times100=150[/tex]

Hence, the blue whale's weight is 150 times heavier than the narwhal's weight.

Answer:

38.85 feet

Step-by-step explanation:

If the honeybee can travel 10.5 feet per second you multiply 10.5 by 3.7 to get the total for 3.7 seconds.

Answer:

69400

Step-by-step explanation:

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Answer:

[tex]Diameter = 11.28[/tex]cm  --- (a)

[tex]Diameter =22.58[/tex] cm  --- (c)

Step-by-step explanation:

Only (a) & (c) are clear enough to be solved. Others are not properly presented.

Use the following explanations of (a) & (c) to answer others.

[tex]a.\ Area = 100cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 100 for Area

[tex]100 = \pi r^2[/tex]

Take π as 3.14. So, the expression become

[tex]100 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{100}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{100}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 31.847133758[/tex]

Solve for r

[tex]r = \sqrt{31.847133758[/tex]

[tex]r = 5.64[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 5.64[/tex]

[tex]Diameter = 11.28[/tex]

[tex]a.\ Area = 400cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 400 for Area

[tex]400 = \pi r^2[/tex]

[tex]400 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{400}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{400}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 127.388535032[/tex]

Solve for r

[tex]r = \sqrt{127.388535032[/tex]

[tex]r = 11.29[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 11.29[/tex]

[tex]Diameter =22,58[/tex]

Answer:

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Step-by-step explanation:

1206 is right answer

Answer:

The answer is approxiamately 1206

Step-by-step explanation:

377/5=75.4

75.4x16=1206.4

1206.4 is approxiamately 1206

Answer:

Option (5)

Step-by-step explanation:

f(x) is a function with the degree of 3, having zeros as x = 2, 2t, -2t

And f(1) = -15

Option (1)

f(x) = 2x³- 2x² + 2x - 30

f(1) = 2(1)³ - 2(1)² + 2(1) - 30

    = 2 - 2 + 2 - 30

    = -28 ≠ -15

Therefore, Option (1) is not the answer.

Option (2)

f(x) = 2x³ + 2x² + 2x - 30

f(1) = 2(1)³ + 2(1)² + 2(1) - 30

    = 2 + 2 + 2 - 30

    = 6 - 30

    = -24 ≠ -15

Therefore, Option (2) is not the answer.

Option (3)

f(x) = 3x³ - 6x² + 12x - 12

f(1) = 3(1)³ - 6(1)² + 12(1) - 12

    = 3 - 6

    = -3 ≠ -15

Therefore, Option (3) is not the answer.

Option(4)

f(x) = 48x³- 9x² + 12x - 24

f(1) = 48(1)³ - 9(1)² + 12(1) - 24

    = 48 - 9 + 12 - 24

    = 27 ≠ -15

Therefore, Option (4) is not the answer.

Option (5)

f(x) = 3x³- 6x² + 12x - 24

f(1) = 3(1)³- 6(1)² + 12(1) - 24

    = 3 - 6 + 12 - 24

    = -15

Therefore, Option (5) is the correct option.

Answer:

she should buy 3 quarts and keep the remainder which can possibly cover 30 square feet.

Answer: The equation for line b is [tex]y = -\frac{3}{4}x + 5[/tex]

The equation for line t is [tex]y= \frac{4}{3} x+5[/tex]

The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.

Step-by-step explanation: Use slope intercept form, y = mx + b

The given coordinate, (0,5) is on the y-axis, so  5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"  

To write the equation for line t

Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 3/4 to become 4/3 and change the negative sign to positive.

The resulting equation is y = 4x/3 + 5

Answer:

What is the x and y coordinate of (3,4)

Answer:

An angle is formed when two rays share a common endpoint.

Step-by-step explanation:

When two rays share a common endpoint they form A) an angle and the common endpoint is called the vertex.

A line has three subsets one is the line itself which can extend in both directions, the Second one is a ray which has one initial point and can extend only in another direction and lastly a line segment which has two endpoints.

We know that a ray has one initial point and it can extend indefinitely in another direction denoted by an arrow.

We also know that an angle is formed when two lines have one common point called the vertex. The measure of an angle is described by the amount of rotational distance it covered from the initial ray and the other ray.

learn more about angles here :

https://brainly.com/question/2882938

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Answer:

drag  10 to the

Step-by-step explanation:

Answer:

In order from left to right (each slash will be one line on the number line.)

Step-by-step explanation:

-10   -9            -7           -5      -4                -2           0

/____/___/___/__/___/____/___/_____/__/___/

Answer:

#5, #1, #2, #4, #3

They are always positive soo you just order them without the negatives

Answer:

The chef bought 4.5 kg of beans

Step-by-step explanation:

1.5 x 3 = 4.5

4.5 kg

Answer:

The price of one pretzel is $-10.75

Step-by-step explanation:

I'm not really sure why the pretzel would be negative dollars, but I checked my answer multiple times and it's right. For this problem you need a system of equations. The system will be 3d+2p=16 (since 3 drinks and 2 pretzels is 16 dollars) and 6d+5p=21.25 (since 6 drinks and 5 pretzels is 21.25 dollars). To solve this system, the first thing we're going to do is multiply the first system by -2 so that we can cancel the d variable. This will leave you with

-6d-4p=-32. Now, you can add this to the other equation. Since the -6 and 6 cancel, we only have the p variable now (that's why we multiplied by -2, to cancel out the d variable when we added later). Now we have -4p=-32 and 5p=21.25. Add these two equations together and you'll get 1p=-10.75, or p=-10.75. If you needed to solve for the drinks, you could plug -10.75 back into one of the first two equations, but for this problem we don't so -10.75 is your answer.

Answer:

r = 5:8

Step-by-step explanation:

5 pound to 8 people

Answer: y = 0.5x + 2.5

I took the test and got it right

Answer: y = 0.5x + 2.5

Step-by-step explanation: look at picture VVV VVV VVV

Answer:

B

Step-by-step explanation:

when you solve B you get 15 and for all the other ones you get a non-terminating decimal