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The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, in the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).

We know that, the formula to find the slope of a line is m=(y2-y1)/(x2-x1)

Substitute (x1, y1)= (0, 3) and (x2, y2)= (4, 5) in slope formula, we get

= (5-3)/(4-0)

= 2/4

= 1/2

Now, substitute m=1/2 and (x, y)=(0, 3) in y=mx+c, we get

3=1/2(0)+c

c=3

Put m=1/2 and c=3 in y=mx+c, we get

y=1/2 x+2

The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.

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Answer:

The domain is the travel on the x-axis of the graph and the range is the travel on the y-axis of the graph.

Step-by-step explanation:

The total bill was $135

Natalie AND her eight friends went to eat so there are 9 people.

Since each person paid $15, you can write this equation.

15 x 9 = 135

Answer:

-4.5

Step-by-step explanation:

Answer:

-4.5

Step-by-step explanation:

1. Multiply 1.25 by -3.6:

Answer: Simplify each term.

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4

x

2

−

6

x

y

+

6

y

x

−

9

y

2

Add  

−

6

x

y

and  

6

y

x

.

4

x

2

+

0

−

9

y

2

Add  

4

x

2

and  

0

.

4

x

2

−

9

y

2

Step-by-step explanation:

Answer:

1. 4x-xy

Step-by-step explanation:

2(xy+2x)-3xy=2xy+4x-3xy

=-xy+4x

=4x-xy

Answer:

A) = 5

B) = 3

C) = [tex]2\sqrt{3}[/tex]

D) = 2.2894

Step-by-step explanation:

A)  [tex]x^2=25[/tex]

[tex]\sqrt{x^2} = \sqrt{25} \\x= 5[/tex]

5*5 = 25

B)  [tex]x^3 = 27[/tex]

[tex]\sqrt[3]{x^3} = \sqrt[3]{27} \\x=3[/tex]

3*3*3 = 27

C)  [tex]x^2 = 12\\[/tex]

[tex]\sqrt{x^2} = \sqrt{12} \\x=2\sqrt{3} \\[/tex]

[tex]2\sqrt{3}[/tex] * [tex]2\sqrt{3}[/tex] = 12

D)  [tex]x^3 = 12[/tex]

[tex]\sqrt[3]{x^3} = \sqrt[3]{12} \\x=2.2894.....\\[/tex]

2.2894 * 2.2894 *2.2894 = 12

No exact solution

Answer:

(1, -2)

Step-by-step explanation:

multiply each coordinate by 1/4. since the numerator is 1, you really just need to divide each number by 4.

Answer:

60

Step-by-step explanation:

24 ÷ 4 is 6. In 8 days He would have 48. Add two 6's and you get the number 60.

Answer:

a

Step-by-step explanation:

Answer:

4:1

Step-by-step explanation:

So, although the ratio 8:2 is technically correct, it is not in its simplest form. To get it into its simplest form you need to find the largest multiplying factor that is the same for both numbers. In this case, 2 is the largest factor because it goes into both 2 and 8. Now, you need to divide the entire ratio by 2 the reach the simplest form, so 8 divided by 2 equals 4, and 2 divided by 2 equals 1. This gives us our final ratio of 4:1.

Answer:

You press the camera icon when asking a question

Step-by-step explanation:

Answer:The answer to your question is 3. 0

Step-by-step explanation:

Process

1.- Find the cos a

  Opposite side = 5

  Hypotenuse = 13

  Adjacent side = ?

  Adjacent side² = 13² - 5²

                          = 169 - 25

                          = 144

 Adjacent side = 12

cos a = 12/13

2.- Find the sin b

sin b = 5/13

3.- Use the formula below to find sin(a + b)

              sin (a + b) = sina cosb  + sin b cos a

- Substitution

              sin (a + b) = (5/13)((-12/13) + (5/13)/12/13)

- Simplification

              sin (a + b) = -60/169 + 60/13

- Result

              sin(a + b) = 0                        

Step-by-step explanation:

An ogive graph serves as a graphical representation of the cumulative relative frequency distribution for quantitative variables. In other words, these graphs plot the percentile on the y-axis and the quantitative variable on the x-axis. An Ogive is connected to a point on the x-axis, that represents the actual upper limit of the last class, i.e.,( 80.5, 0) Take x-axis, 1 cm = 10 marks. Y-axis = 1 cm – 10 c.f. There are two types of ogives : Less than ogive : Plot the points with the upper limits of the class as abscissae and the corresponding less than cumulative frequencies as ordinates. Ogives are useful for determining the median, percentiles and five number summary of data. Remember that the median is simply the value in the middle when we order the data. A quartile is simply a quarter of the way from the beginning or the end of an ordered data set.

I know this is a lot but this will help you understand.

Based on the cost of her items, if Kim hands over $100, she will get back $9.85.

The total that Kim will pay includes the cost of all three items as well as the sales tax.

The total cost of the three items is:

= Blouse + Skirt + Purse

= 17.16 + 28.19 + 35.14

= $80.49

The total including the sales tax will be:

= Cost + (Cost x Sales tax)

= 80.49 + (80.49 x 12%)

= $90.15

The change she will get is:

= 100 - 90.15

= $9.85

In conclusion, Kim will get a change of $9.85.

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Answer:

the answer is 5

Step-by-step explanation:

do 95 / 19 it will be 5 and do 19 x 5 it will be 95

Answer: 86

Step-by-step explanation:

Answer:

It will be 86.0 Fahrenheit

Step-by-step explanation:

Answer:

Lisas

Step-by-step explanation:

You have to multiply 351X34

then you subtract 10,000, 10,000

Answer:

3$

Step-by-step explanation:

the discount is 27 so that leaves 3 dollars if

30-27=3 ^^

Answer: 92.5

Step-by-step explanation:

96 93 93 92 91 84 are your highs and to find the mean you cross one on each side until there is only one or 2 left.

you are left with 93 and 92 so you add them together and divide by two to get 92.5 which is your answer

Answer:

$525

Step-by-step explanation:

To find the commision of the salesman, multiply the (commission rate over 100) by the sale amount.

Commission rate: 5%, so 5/100 = 0.05

then, 0.05*10500 = $525

Answer:

word form: fifty-four and thirty-nine thousandths.

Step-by-step explanation:

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Answer:

Showing results for The curve with equation ya = 224 – 14x² is called a kampyle of Exodus. Find an equation of the tangent line to this curve a the point (3, "-6)." An equation of the tangent line to the curve at the point (3, "-6)" is

Search instead for The curve with equation ya = 224 – 14x² is called a kampyle of Exodus. Find an equation of the tangent line to this curve a the point (3, -6). An equation of the tangent line to the curve at the point (3, -6) is

Step-by-step explanation:

Step By Step explanation is up you can see.

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The graph D has a x-intercept = −1  and y-intercept = 5

The given parameters are:

x-intercept = −1

y-intercept = 5

The above means that the graph crosses the x-axis at -1, and it crosses the y-axis at -5

From the list of options, the graph that satisfies the above highlights is graph D

Hence, the graph D has a x-intercept = −1  and y-intercept = 5

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Answer:

38 meters below sea level.

Step-by-step explanation:

if the sub dives 155 BELOW sea level, this equals -155.

then it RISES 117 meters, which equals +117.

we can make this into an  equation

-155+117=-38!

the location of the sub is 38 meters below sea level.

Answer:

Step-by-step explanation:

7/16

419

318

1/2

Answer:

lazyyyy

Step-by-step explanation:

Answer:

Step-by-step explanation:

Write in slope-intercept form,  

y = m x + b .

y = − 13 /5 x − 1 /5