I need help on numbers 1 and 2, please

The equation of the line passing through (0,0) and (2,5) will be y = ( 5 / 2 )x. The correct option is C.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line is:-

y = mx + c

Given that the line passes through (0,0) and (2,5). to calculate the equation we need to calculate the slope of the line.

m = ( y₂ - y₁) / ( x₂ - x₁ )

m = ( 5 - 0 ) / ( 2 - 0 )

m = ( 5 / 2 )

y = ( 5 / 2)x + c

0 = 0 + c

c = 0

Y = ( 5 / 2)x

Therefore, the equation of the line passing through (0,0) and (2,5) will be y = ( 5 / 2 )x. The correct option is C.

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Step-by-step explanation:

[tex]a = \frac{ 5{x}^{2} }{2} = 360 \\ b = \frac{2 {x}^{2}( x - 5) }{10x} [/tex]

a =

[tex] \frac{5( {12}^{2} )}{2} = 360 = a \\ \frac{5(144)}{2} = 360 = a \\ 5(72) = 360 = a \\ a = 360[/tex]

b =

[tex]b = \frac{2 {x}^{2} (x - 5)}{10x} \\ b = \frac{x(x - 5)}{5 } \\ b = \frac{ {x}^{2} - 5x}{5} \\ b = \frac{ {12}^{2} - 5(12) }{5} \\ b = \frac{144 - 60}{5} \\ b = \frac{84}{5} \\ b = 16.8[/tex]

The required values are a = 360 and b = 16.8 when x = 12.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

The numerical expressions are given as:

a = 5x²/ 2 = 360

b = 2x² × (x-5) / 10x

To find the value of a when x = 12, we can substitute 12 for x in the expression for a:

a = 5(12)² / 2 = 360

To find the value of b when x = 12, we can substitute 12 for x in the expression for b:

b = 2(12)² × (12-5) / 10(12)

= 2(144) × 7 / 120

= 288 × 7 / 120

= 2016 / 120

= 16.8

Therefore, when x = 12, a = 360 and b = 16.8.

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Answer:

I'm pretty sure it's a, 2b - b

Step-by-step explanation:

Answer:

27+10÷2÷5= 27+1= 28

Hope that my answer is correct and helpful to you

Answer: 1.75 more pounds!

Explanation: Beef: 1 pound is $4.25. now divide $4.25 by 4 to get 1/4 of the price for a pound. then add 1 pound of beef ($4.25) and 1/4 pound of beef ($1.06) which gives you $5.31

Beef:  1 pound is $2.85. now divide $2.85 by 4 to get 1/4 of the price of a pound. then add 1 pound of turkey ($2.85) and 1/4 pound of turkey ($0.71) which gives you $3.56

Now, 1 1/4 pounds of beef and 1 1/4 pounds of turkey subtract them and that gives you $1.75.

Hope that helps!

Answer:

A. 15,840 feet

Step-by-step explanation:

1 mile = 5,280 feet (I think "five tomatoes" is helpful: five tomatoes --> five-two-eight-oh)

multiply both sides of equation by 3: 1 * 3 = 5,280 * 3

simplify: 3 miles = 15,840 feet, which means A is the answer

Answer:

The lines are parallel

Answer:

1)D

2)B

3(

4)A

5)B

Step-by-step explanation:

please mark me as brainlest

Answer:

X=0

X=-1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C: The h(x)-values -3, -2, 2, and 4

Step-by-step explanation:

The range is the values that the output can take

The y values  are -3, -2, 2,4

C: The h(x)-values -3, -2, 2, and 4

9514 1404 393

Answer:

  10

Step-by-step explanation:

The Pythagorean theorem tells you the relationships of sides in a right triangle is ...

  a² + b² = c² . . . . . . where 'a' and 'b' are the legs, and 'c' is the hypotenuse

  6² +8² = c²

  36 +64 = c² = 100

  c = √100 = 10

The length of the hypotenuse is 10.

_____

Additional comment

The ratio of the leg lengths is 8/6 = 4/3. The only right triangle with legs in the ratio 4/3 has the relationship ...

  hypotenuse : long leg : short leg = 5 : 4 : 3

If you multiply these numbers by 2, you see they correspond to the side lengths in this triangle. Your familiarity with a 3-4-5 right triangle can let you write down the answer immediately.

Answer:

steps below

Step-by-step explanation:

26458900 ... sum of odd digits 2+4+8+0=14   ...(1)

                      sum of even digits 6+5+9=20   ...(2)

(2)-(1): 20-14=6      Not multiple of 11, nor 0

conclusion: Not divisible by 11

26458900 ... last 2 digits is "00", 00 or #00 are divisible by 4

conclusion: divisible by 4

Answer:

Its 2.33333....

Step-by-step explanation:

Answer:

Step-Opens up with a vertex at (4,-1)by-step explanation:

Answer:

When solving the literal equation rx = sx + t for x, are there any restrictions? There are no restrictions.

Step-by-step explanation:

Answer:

x = 16

y = 140

Step-by-step explanation:

Since angles on a straight line add to 180°,

(8x + 12) + (3x-8) = 180

8x + 3x + 12 - 8 = 180

11x + 4 = 180

11x = 176

x = 16

Due to the Alternate Interior Angles Theorem,

y = 8x + 12

Substituting 'x=16' into 'y=8x+12':

y = 8(16) + 12

= 128 + 12

= 140

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Answer:

range={4,5,5} and its a function

Step-by-step explanation:

its a function becoz the domain are not repeated

Answer:

It's c

Step-by-step explanation:

The sales after 12 weeks is about $93. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is s=12√4t+10, where s represents the total sales in thousands) and t represents the time in weeks after release.

The sales 12 weeks after release is

s=12√4×12+10

s=12√48+10

s=93.13

s=93

Therefore, option B is the correct answer.

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Answer:

I don't know how to rank push in idle

Step-by-step explanation:

-7-13>-15x

-20>-15x

x>-20/-15

x>4/3

please give the domain.

or write on your own.!

Answer:

[tex]1 \frac{1}{3} < x \: \: \: or \: \: \: x > 1 \frac{1}{3} \\ [/tex]

Step-by-step explanation:

[tex] - 7 > 13 - 15x \\ - 7 - 13 > - 15x \\ - 20 > - 15x \\ \frac{ - 20}{ - 15} < x \\ \frac{4}{3} < x \\ 1 \frac{1}{3} < x \\ [/tex]

Answer:

48 Strawberries

Step-by-step explanation:

To solve this you multiply 6 times 8 because if there are 6 bowls and you put 8 in each, you are going to get 8+8+8+8+8+8 which is the same as 6 times 8. Hope this helps!

Using a system of equation, we have that:

a)

b)

The system is:

[tex]x = 3y[/tex]

[tex]z = y - 10[/tex]

[tex]15x + 40y + 5z = 3100[/tex]

c)

The cost of one on-site repair service is of $90.

Item a:

The variables are:

Item b:

On-site service costs 3 times as much as at-store service, thus:

[tex]x = 3y[/tex]

By mail service costs $10 less than at-store  service, thus:

[tex]z = y - 10[/tex]

Last week, the shop completed 15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100, thus:

[tex]15x + 40y + 5z = 3100[/tex]

The system is:

[tex]x = 3y[/tex]

[tex]z = y - 10[/tex]

[tex]15x + 40y + 5z = 3100[/tex]

Item c:

[tex]15x + 40y + 5z = 3100[/tex]

[tex]15(4y) + 40y + 5(y - 10) = 3100[/tex]

[tex]60y + 40y + 5y = 3150[/tex]

[tex]105y = 3150[/tex]

[tex]y = \frac{3150}{105}[/tex]

[tex]y = 30[/tex]

Then

[tex]x = 3y = 3(30) = 90[/tex]

The cost of one on-site repair service is of $90.

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Answer:

I'm not entirely sure, but I think since you're dealing with area, that changes the way you'd do the math.

Step-by-step explanation:

Since centimeters will have a larger number than meters, that being a number 100x larger, the area is gonna appear a lot bigger. Let's say you have a tile that's 2cm x 4cm with an area of 8cm^2. If you double the sides to 4cm x 8cm, your area will quadruple to 32cm^2.

I think that's what is happening in terms of your problem.

Answer:

B.)

Step-by-step explanation:

A function is defined as having one input for every output. Therefore, you cannot have more than one inputs and get the same output. (Well you can, but you learn what this means later in mathematics ;) )