A line has a slope of 2/3 and y-intercept of (0,3). Which of the following represents the equation of the line?​

Answer:

g(x)=2(x-4)+7

2g(-6)=2[2(-6-4)+7]

=2[2(-10)+7]

=2(-20+7)

=2(-13)

=-26

Answer:

[tex]\frac{3}{20}[/tex] = 0.15

Step-by-step explanation:

15 + 20 + 40 + 15 + 10 = 100

[tex]\frac{15}{100} = \frac{3}{20}[/tex] = 0.15

Answer:

0<x<3 and 8<x<9

Step-by-step explanation:

Increasing intervals always relate to x-values. The increasing interval is from (0,3) and (8,9).

Answer:

1). y = 4(1.75)ˣ

2). y = (2)ˣ

Step-by-step explanation:

1). Let the equation of the given exponential graph is,

y = a(b)ˣ

Graph of the given equation passes through two points (0, 4) and (0+1, 4+3)

For point (0, 4),

4 = a(b)⁰

a = 4

For point (1, 7),

7 = 4(b)¹

b = [tex]\frac{7}{4}[/tex]

b = 1.75

Therefore, equation of the function is,

y = 4(1.75)ˣ

2). Similarly, equation of the second graph will be same in the form of

y = a(b)ˣ

Second graph passes through the points (0, 1) and (2, 4)

For (0, 1),

1 = a(b)⁰

a = 1

For (2, 4),

4 = 1(b)²

b = 2

Therefore, exponential function representing the graph will be,

y = 1(2)ˣ

y = 2ˣ

Answer: 8

Step-by-step explanation: It's just GCF.  The greatest common factor (GCF) of 8 and 16 is 8 (8 and 16 are both divisible by 8 but not by anything greater) which brings us to our answer.

Answer:

1) 4.5 x 10^3 =4,500

2)5.78 x 10^-2

3) 5.7 x 10^1 = 57

4) 6.256 x 10^-3 = 0.006256

5) 7.3 x 10^2 = 730

6) 4.2 x 10^-5 = 0.000042

7) 7x10^-3 = 0.007

8) 2.563 x 10^1

9) 3.0025 x 10^2 = 300.25

10) 1.456 x 10^-1

Answer:

3

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rectangle base: 24 x 15 = 360

triangle: 15 x 3 x 1/2= 45 x 1/2 = 22.5 x 4 (each side) 90 inches

total: 360 + 90 = 450 inches :)

Answer:

26 i think

Step-by-step explanation:

Answer:

380 cubic inches

Step-by-step explanation:

The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height

I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)

Answer:

lgma

Step-by-step explanation:

9514 1404 393

Answer:

  boat speed: (7t -95)/(6t² -110t +500)

  stream speed: (37t -345)/(6t² -110t +500)

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

The boat speed (b) is added to the stream speed (s) going downstream. The stream speed is subtracted going upstream. The given relations tell us ...

  25/(b-s) +44/(b+s) = t

  15/(b-s) +22/(b+s) = 5

This gives us 2 equations in 3 unknowns, so we can only provide a solution in terms of one of the unknowns. Since we are asked for the speeds, they will be provided in terms of t.

Subtracting the first equation from 2 times the second gives ...

  2(15/(b-s) +22/(b+s)) -(25/(b-s) +44/(b+s)) = 2(5) -(t)

  5/(b-s) = 10 -t

  5/(10 -t) = b -s

Substituting for b-s in the second equation gives ...

  15/(5/(10-t)) +22/(b+s) = 5

  30 -3t +22/(b+s) = 5

  22/(b+s) = 3t -25

  22/(3t -25) = b+s

Adding the equations for the sum and difference of speeds, we get ...

  (b-s) +(b+s) = 5/(10-t) +22/(3t -25)

  2b = (5(3t -25) +22(10 -t))/((10-t)(3t-25)) = (95 -7t)/((10-t)(3t-25))

  b = (7t -95)/(6t² -110t +500)

Subtracting the equations for sum and difference of speeds, we get ...

  (b+s) -(b-s) = 22/(3t -25) -5/(10 -t)

  2s = (22(10-t) -5(3t -25))/((10-t)(3t-25))

 s = (37t -345)/(6t² -110t +500)

__

The speed of the boat in still water is (7t -95)/(6t² -110t +500) km/h.

The speed of the stream is (37t -345)/(6t² -110t +500) km/h.

__

Note that these solutions only make sense for values of t between 25/3 and 345/37, approximately 8.33 < t < 9.32. For t=9 hours, the boat speed is 8 km/h and the stream speed is 3 km/h.

Answer:

Im not sure

Step-by-step explanation:

GOOD LOOK ON YOUR TEST HE DISCONN-ECTED

Answer:

45 i think

Step-by-step explanation:

Answer:

So we want to know how much clay did Joseph add after he built the cone. So the formula for the volume of the cone is V=(1/3)*pi*r^2*h where r is the radius and h is height. We know h1=12cm and r1=6cm, r2=6cm and h2=18 cm. So to get the amount of added clay Va we simply subtract the volume of the clay of the first cone V1 from the volume of the second cone V2: Vd=V2-V1=(1/3)*pi*(r1^2)*h1 - (1/3)+pi*(r2^2)*h2. Va=678.24 cm^3-452.39 cm^3= 266.08 cm^3.

Step-by-step explanation:

brainliest?

Answer:

2nd option

Step-by-step explanation:

If AB  is a tangent to the circle then ∠ B is right angle

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other 2 sides, then the triangle is right

longest side = 52 and 52² = 2704

48² + (10 + 10)² = 48² + 20² = 2304 + 400 = 2704

Then AB  is a tangent to the circle since ∠ B is a right angle

Answer:

pi/3+2pin, 2pi/3+2pi(n)

Answer:

the next one is c - pi/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The following statements are true:

1.  A quadratic function can have up to two x-intercepts.

2.  An x-intercept of a quadratic function is also called a zero of the function

Answer:

It is proportional

Step-by-step explanation:

May have brainllest I only need 39 more to get to genius

Triangle 1 and 4 are similar using AAA

number one and four.......

Answer:

17 nickles !

Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

======

Step One:

n + d = 28

n + d - d = 28 - d

n = 28 - d

Step Two:

0.05n + 0.10d = 1.95

(0.05 * (28 - d)) + 0.10d = 1.95

1.40 - 0.05d + 0.10d = 1.95

1.40 + 0.05d = 1.95

1.40 - 1.40 + 0.05d = 1.95 - 1.40

0.05d = 0.55

d = 11

Step Three:

n = 28 - d

n = 28 - 11

n = 17

======

Your answer should be 17 nickels and 11 dimes.

You can double check by applying the variables into both formulas.

n + d = 28

17 + 11 = 28

28 = 28

0.05n + 0.10d = 1.95

(0.05 * 17) + (0.10 * 11) = 1.95

0.85 + 1.10 = 1.95

1.95 = 1.95

I hope this helped.

Answer:

x=12

Step-by-step explanation:

1/2x - 5 = 10 - 3/4x ---> move like terms to the same side

1/2x + 3/4x = 10 + 5 ---> calculate

5/4x = 15 ---> multiply both sides by 4/5

x = 12

Answer:

John did not make a mistake

Step-by-step explanation:

he did everything correct

Answer: $510

Step-by-step explanation:

Total monthly budget = $3,400.

Percentage of total budget spent on utilities = 15%

The amount that the Riddle Family spending on utilities each month will then be:

= 15% × $3400

= 15/100 × $3400

= 0.15 × $3400

= $510

Answer:

0.15 * 3400 = $________ utilities cost per month

Multiply the monthly cost by 12.

Answer:

3.92yd

Step-by-step explanation:

pi r²÷2

pi 2.5²÷2=3.92

Answer:

6 pounds and 9 ounces

or 7 pounds when rounded