I need help showing work and explain the reason

Answer:

Answer:

The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero.

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation \displaystyle y=3x - 1y=3x−1.

To find the x-intercept, set \displaystyle y=0y=0.

y

=

3

x

−

1

0

=

3

x

−

1

1

=

3

x

1

3

=

x

(

1

3

,

0

)

x

-intercept

To find the y-intercept, set \displaystyle x=0x=0.

y

=

3

x

−

1

y

=

3

(

0

)

−

1

y

=

−

1

(

0

,

−

1

)

y

-intercept

We can confirm that our results make sense by observing a graph of the equation as in Figure 10. Notice that the graph crosses the axes where we predicted it would.

This is an image of a line graph on an x, y coordinate plane. The x and y-axis range from negative 4 to 4. The function y = 3x – 1 is plotted on the coordinate plane

Figure 12

HOW TO: GIVEN AN EQUATION, FIND THE INTERCEPTS.

Find the x-intercept by setting \displaystyle y=0y=0 and solving for \displaystyle xx.

Find the y-intercept by setting \displaystyle x=0x=0 and solving for \displaystyle yy.

EXAMPLE 4: FINDING THE INTERCEPTS OF THE GIVEN EQUATION

Find the intercepts of the equation \displaystyle y=-3x - 4y=−3x−4. Then sketch the graph using only the intercepts.

SOLUTION

Set \displaystyle y=0y=0 to find the x-intercept.

y

=

−

3

x

−

4

0

=

−

3

x

−

4

4

=

−

3

x

−

4

3

=

x

(

−

4

3

,

0

)

x

-intercept

Set \displaystyle x=0x=0 to find the y-intercept.

y

=

−

3

x

−

4

y

=

−

3

(

0

)

−

4

y

=

−

4

(

0

,

−

4

)

y

-intercept

Plot both points, and draw a line passing through them as in Figure 11.

This is an image of a line graph on an x, y coordinate plane. The x-axis ranges from negative 5 to 5. The y-axis ranges from negative 6 to 3. The line passes through the points (-4/3, 0) and (0, -4).

Figure 13

Answer:

x-intercept

Step-by-step explanation:

The x-intercept is the point on the line that crosses the x-axis, shown in the graph in the picture.

Answer:

y=4x+6

Step-by-step explanation:

Answer:

interest = $5.1

Step-by-step explanation:

Answer:

A. Right a multiple of 2 and up a multiple of 1.

B. (2, 1)

C. the same

Step-by-step explanation:

A. The original point was (2, 1), so if Larissa moves right a multiple of 2 and up a multiple of 1, she'll stay within the ratio.

B. We already know this is proportional, since it goes through the origin; the line just has to pass through the right point: (2,1)

C. The line will be proportional, so as long x is twice as much as y, Larissa will have the same shade of green paint every time.

Answer:

Attachment

Step-by-step explanation:

Answer:

1) C=80°

2) A=C= 54°

Step-by-step explanation:

1) 180-60-40=80

2)180-72=108

108/2=54

Hope this helps! :)

Answer:

1. 80º

2. Both are 54º

Step-by-step explanation:

1. If you add 60º + 40º in problem 1, you get 100º. We need to get it to equal 180º, so this means the missing angle would be 80º

2. Just like in the first one, we need this to equal 180º. So, let's go backwards.

180 - 72 = 108

Now, since the remaining angles are equal, let's divide 108º by 2

108 / 2 = 54º

Hope this helps :)

Answer:

2 lb

Step-by-step explanation:

2 divided by 4 is 2

Answer:

1/2 lb (or 0.5 lb)

Step-by-step explanation:

I'm not sure if you want me to convert it into another unit, but here you go!

2/4 simplified is 1/2

2 divided by 4 is 0.5

Answer:

I believe its 108°

Step-by-step explanation:

as it's a pentagon I looked up the angle of the top of a pentagon and found 108°

Answer:

It costs $560 to enclose a 50' by 40' rectangular area.

Step-by-step explanation:

50 + 40 = 90

90 x 4 = 360 because of the $4 per foot

360 + 200 = 560, you add 200 because of the flat rate charge.

Answer:

x=20

Step-by-step explanation:

Answer:

(4,9)

Step-by-step explanation:

y = 2x + 1

y = x + 5

2x + 1 = x + 5

2x - x = 5 - 1

x = 4

y = x + 5

y = 4 + 5

y = 9

Check:

(4,9) ? Yep

Answer:

[tex]\sin L = 0.60[/tex]

[tex]tan\ N = 1.33[/tex]

[tex]\cos L = 0.80[/tex]

[tex]\sin N = 0.80[/tex]

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

[tex]MN = 6[/tex]

[tex]LN = 10[/tex]

First, we need to calculate length LM,

Using Pythagoras theorem:

[tex]LN^2 = MN^2 + LM^2[/tex]

[tex]10^2 = 6^2 + LM^2[/tex]

[tex]100 = 36 + LM^2[/tex]

Collect Like Terms

[tex]LM^2 = 100 - 36[/tex]

[tex]LM^2 = 64[/tex]

[tex]LM = 8[/tex]

Solving (a): [tex]\sin L[/tex]

[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L = \frac{MN}{LN}[/tex]

Substitute values for MN and LN

[tex]\sin L = \frac{6}{10}[/tex]

[tex]\sin L = 0.60[/tex]

Solving (b): [tex]tan\ N[/tex]

[tex]tan\ N = \frac{Opposite}{Adjacent}[/tex]

[tex]tan\ N = \frac{LM}{MN}[/tex]

Substitute values for LM and MN

[tex]tan\ N = \frac{8}{6}[/tex]

[tex]tan\ N = 1.33[/tex]

Solving (c): [tex]\cos L[/tex]

[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos L = \frac{LM}{LN}[/tex]

Substitute values for LN and LM

[tex]\cos L = \frac{8}{10}[/tex]

[tex]\cos L = 0.80[/tex]

Solving (d): [tex]\sin N[/tex]

[tex]\sin N = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin N = \frac{LM}{LN}[/tex]

Substitute values for LM and LN

[tex]\sin N = \frac{8}{10}[/tex]

[tex]\sin N = 0.80[/tex]

Answer:

The domain of the function i.e. the value of x can be any real number and the range of the function is y > 0.

Step-by-step explanation:

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.

Therefore, as x tends to - ∞, the y-value tends to 0 but not equal to zero and as x tends to +∞, the y-value also tends to +∞.

Hence, the domain of the function i.e. the value of x can be any real number and the range of the function is y > 0. (Answer)

Answer:

207

Step-by-step explanation:

Answer:

2+2

Step-by-step explanation:

There ya go

Answer:

Well, there are 4 quadratic spots on the graph. A(1,3) would be in the top right. B(0,-3) would be on the line on the bottom half of the graph. C(-4,-2) would be in the left bottom half of the graph. and D(-11/4,2) would be in the top right. Connect the dots and just say the shape it makes.

Step-by-step explanation:

Answer:

The first choice

Step-by-step explanation:

The x values do not repeat (resubmitting since a bot deleted my first answer)

Answer:

slope:5/2

y-intercept:-9

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

First, we need to change the equation into slope-intercept form.

5x-2y=18     Isolate the y by subtracting 5x on both sides.

-5x     -5x

-2y=-5x+18  Divide both sides by -2.

/-2   /-2

y=2.5x-9

The slope is the number next to x, so the slope is 2.5.

Hope this helps! Have a great day C:

Answer:

its 20

Step-by-step explanation:

you add 8 + 12 which is 20 then you divide it by 4 which is 5 then you multiply 4 which is 20

Answer:

B) 5(-3) either way its telling you to multiply 5 by -3

The simplifying form of the expression 5⁻³ is,

⇒ 1 / 5³

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression for simplifying is,

⇒ 5 ⁻³

Now,

By rule of exponent;

⇒ a⁻ⁿ = 1 / aⁿ

Hence, We can formulate simplifying form of the expression 5⁻³ is,

⇒ 5 ⁻³

⇒ 1 / 5³

Thus, The simplifying form of the expression 5⁻³ is,

⇒ 1 / 5³

Learn more about the mathematical expression visit:

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Answer:

tanks for the freh points

Step-by-step explanation:

we all like freh points

Answer:

butter dog sounds cool

Step-by-step explanation:

EXOTIC BUTTERS?

Answer:

850 but im not sure lol

Step-by-step explanation:

645 + 225 = 870

1,320 - 870 = 450

450 + 350 = 800

800 + 50 = 850

Answer:

slope: -3

y-intercept: 5

Step-by-step explanation:

y=mx+b, where m=slope and b=y-intercept

Answer:

The slope is -3 and y is 5. hope that helped

Answer:

Yes, π/12 is a solution.

Step-by-step explanation:

Calculator --> sin(π12)=sin15∘=0.26 . √2−√32=√0.272=0.522=0.26 .  Uhmm... i dont rlly know how to explain it.. its complicated for me to word it without making it non confusing.

The statement 'The value [tex]\frac{\pi}{12}[/tex]  is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

We have been given an equation [tex]4~cos^2(4x)-3=0[/tex]

We need to check whether [tex]\frac{\pi}{12}[/tex]  is a solution for the equation.

Substitute [tex]x=\frac{\pi}{12}[/tex] in equation [tex]4~cos^2(4x)-3=0[/tex]

[tex]\Rightarrow 4~cos^2(4\frac{\pi}{12} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\pi}{3} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\sqrt{3} }{4} )-3=0\\\\\Rightarrow 4~\frac{3}{4}-3=0\\\\ \Rightarrow 3-3=0\\\\\Rightarrow 0=0[/tex]

This means,  [tex]\frac{\pi}{12}[/tex]  is a solution of the equation [tex]4~cos^2(4x)-3=0[/tex]

Therefore, the statement 'The value [tex]\frac{\pi}{12}[/tex]  is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.

Learn more about the equation here:

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Answer:

Step-by-step explanation:

-4 x y-= 2

Answer:

the answer Is D.2

Step-by-step explanation:

9 is greater than 7 by 2