Four sisters are all 2 years apart in age. The

If a graph shows the function y=3x what are the coordinates of the intercepts

vladimir2022 [97]

Answer:

graph{3x+5 [-10, 10, -5, 5]}

x

intercept:

x

=

−

5

3

y

intercept:

y

=

5

Explanation:

For a linear graph, the quickest way to sketch the function is to determine the

x

and

y

intercepts and draw a line between the two: this line is our graph.

Let's calculate the

y

intercept first:

With any function,

y

intercepts where

x

=

0

.

Therefore, substituting

x

=

0

into the equation, we get:

y

=

3

⋅

0

+

5

y

=

5

Therefore, the

y

intercept cuts through the point (0,5)

Let's calculate the

x

intercept next:

Recall that with any function:

y

intercepts where

x

=

0

.

The opposite is also true: with any function

x

intercepts where

y

=

0

.

If we substitute

y

=

0

, we get:

0

=

3

x

+

5

Let's now rearrange and solve for

x

to calculate the

x

intercept.

−

5

=

3

x

−

5

3

=

x

Therefore, the

x

intercept cuts through the point

(

−

5

3

,

0

)

.

Now we have both the

x

and

y

intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them

The graph of the function

y

=

3

x

+

5

:

graph{3x+5 [-10, 10, -5, 5]}

3 0

3 years ago

On the packaging for a triangular sail, the edge measurements for the sail are listed as 7 ft × 15 ft × 17 ft. Without unfurling

ASHA 777 [7]

Answer:

Shape of Triangular sail is Obtuse Angled Triangle.

Step-by-step explanation:

The triangle is obtuse since the sum of the squares of 2 sides are greater than the square of the third side. (Converse Pythagorean theorem) Hope this helps!

Given: Length of sides of triangular sail = 7 ft , 15 ft , 7 ft

To find: Shape of Sail .i.e., shape of triangle

We use a result which states that

if a , b , c are sides of triangle where c is greater then a & b.

now, if c² < a² + b² then triangle is Acute angled

if c² = a² + b² then triangle is Right angled

if c² > a² + b² then triangle is Obtuse angled

here a = 7 , b = 7 & c = 15

c² = 15² = 225

a² + b² = 7² + 7² = 49 + 49 = 98

since, c² > a² + b²

⇒ Triangle must be Obtuse Angled.

Therefore, Shape of Triangular sail is Obtuse Angled Triangle.

7 0

3 years ago

Read 2 more answers

3x+y=115x-y=21 Directions: Solve each system of equations by elimination. Clearly identify your solution.

olchik [2.2K]

To solve, we will follow the steps below:

3x+y=11 --------------------------(1)

5x-y=21 ------------------------------(2)

since y have the same coefficient, we can eliminate it directly by adding equation (1) and (2)

adding equation (1) and (2) will result;

8x =32

divide both-side of the equation by 8

x = 4

We move on to eliminate x and then solve for y

To eliminate x, we have to make sure the coefficient of the two equations are the same.

We can achieve this by multiplying through equation (1) by 5 and equation (2) by 3

The result will be;

15x + 5y = 55 ----------------------------(3)

15x - 3y =63 --------------------------------(4)

subtract equation (4) from equation(3)

8y = -8

divide both-side of the equation by 8

y = -1

8 0

1 year ago

What is the difference between categorical and quantitative data? Give examples of each of your own for each. Also decide whethe

andrezito [222]

Categorical data are also known as the qualitative data wherein it usually describes a value of a subject as what is perceived by our senses. On the other hand, a quantitative data revolves around any variables that are considered to be measured wherein examples of which are temperature, length and width.

6 0

3 years ago

Which is better to buy 12 bars of soap for $10.00 or 5 bars of soap for $4.00 is better which one

Makovka662 [10]

Answer:

5 bars for $4.00

Step-by-step explanation:

10 / 12 = 0.833 repeating

4 / 5 = 0.8

3 0

3 years ago

Read 2 more answers