Why do you replace y with 0 when finding the x-intercept of a graph?

Answers

Answer 1

Here’s what you need to know about intercepts. The x intercept of a graph has y coordinate zero. The y intercept of a graph has x coordinate zero.

AN EXAMPLE OF THIS IS:

So if you have a function y = 2x + 8 you would set x = 0 to find the y intercept. So we would get y = 8. To find the x intercept we would set y = 0 and get 0 = 2x + 8

or -8 = 2x or x = -4

Now if you have a more difficult like function y = 3x^2 + 10x - 4 we proceed the same way. To find the y intercept we would set x = 0 and get y = -4 so the y intercept is (0,-4)

To find the x intercept we would set y = 0 and get 3x^2 + 10x - 4 = 0. If you know the quadratic formula you could solve this by:

x = [-b +- SR(b^2 - 4*a*c] / 2a

so in our case x = [-10 +- SR(100 - 4*3*(-4))] / (2*3)

x = [-10 +- SR(100 + 48)] / 6

x = [-10 +- SR (148)] / 6

x = [-10 +- 12.2] / 6 approximately

x = [-10 - 12.2] / 6 or [-10 + 12.2 / 6]

x = -22.2/6 or 2.2/6


Related Questions

Witch expression makes the equation true for all values of x? 15x - 15 = 5(?)
A. 3x - 3
B. 3x- 15
C.5x-5
D.12x-1

Answers

The expression that will make the algebraic equation true for all values of x is: A. 3x - 3.

What is a True Algebraic Equation?

An algebraic equation is an equation where for a value of x, the right side and the left side of the equation must be balanced.

Given the algebraic equation, 15x - 15 = 5(?)

The missing expression, is 3x - 3, because:

15x - 15 = 5(3x - 3)

Open the bracket

15x - 15 = 15x - 15

Both sides are equal.

Therefore, the expression that will make the algebraic equation true for all values of x is: A. 3x - 3.

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BRAINLIEST TO WHOEVER GET IT RIGHT
What are the solutions to the system of equations graphed below?
in picture below:)

Answers

Answer:

hey there!

Step-by-step explanation:

your answer should be the first one (0,4 and 2,0)

hope its help yayayayayou

Dr. Smith, a biology professor at Bradford University, has decided to give his classes a standardized biology exam that is nationally normed. This indicates that the normal distribution is an appropriate approximation for the probability distribution of students’ scores on this exam. The probability distribution of students’ scores on this standardized exam can be estimated using the normal distribution shown below.

X
X
Inflection Point
Inflection Point
70
78
86
State the mean of the distribution of the biology exam scores.

State the standard deviation of the distribution of the biology exam scores.

Grading Curve Option I
Originally, Dr. Smith decides to curve his students’ exam grades as follows.

Students whose scores are at or above the percentile will receive an A.

Students whose scores are in the – percentiles will receive a B.

Students whose scores are in the – percentiles will receive a C.

Students whose scores are in the – percentiles will receive a D.

Students whose scores are below the percentile will receive an F.

Find the z-scores that correspond to the following percentiles.

percentile

percentile

percentile

percentile

Using that information, find the exam scores that correspond to the curved grading scale. Assume that the exam scores range from 0 to 100. (Round to the nearest whole number.)

A:     –

B:     –    

C:     –    

D:     –    

F:     

Answers

For inflection Points of

707886

The mean and standard deviation are is mathematically given as

x=78

sigma=8

What is Normal distribution?

Normal distribution is simply a symmetrical bell-shaped graph that displays the distribution of numerous random variables.

Generally, the equation for the  mean is mathematically given as

x=total sum /amount

Therefore

x=70+78+80/3

x=78

In conclusion, Inflexion point for normal distribution is given as

[tex]I=\mu+\sigma\\\\\mu+\sigma=86[/tex]

Also

[tex]\mu-\sigma=70[/tex]

Therefore

[tex]78+\d\sigma=86[/tex]

sigma=8

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hello please help with number 14 and 15 thank you 20 points and will be brainliest if its right thank you

Answers

14)
0.5 *(8+x)=25
8+x = 50
X= 42

15)
165 = 5(16+x)
33 = 16+x
X= 17

14)

The missing value is 42.

15)

The missing value is 17.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

14)

0.5 x ( 8 + ___ ) = 25

We will write in terms of x.

0.5 x (8 + x ) = 25

8 + x = 25/0.5

8 + x = 50

x = 50 - 8

x = 42

15)

165 = 5 x ( 16 + __ )

We will write in terms of x.

165 = 5 x ( 16 + x )

165/5 = 16 + x

x = 33 - 16

x = 17

Thus,

The missing value of x is 42 and 17.

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100 points !! 3 answers !!
Instructions: Find the missing side. Round your answer to the nearest tenth.

Answers

#1

cos28=x/25x=25cos28x=22.1

#2

cos26=x/15x=15cos26x=16.7

#3

tan41=x/16x=16tan41x=14

Answer:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse

Given:

[tex]\theta[/tex] = 28°A = xH = 25

[tex]\implies \sf \cos(28^{\circ})=\dfrac{x}{25}[/tex]

[tex]\implies \sf x=25cos(28^{\circ})[/tex]

[tex]\implies \sf x=22.1\:(nearest\:tenth)[/tex]

Given:

[tex]\theta[/tex] = 26°A = 15H = x

[tex]\implies \sf \cos(26^{\circ})=\dfrac{15}{x}[/tex]

[tex]\implies \sf x=\dfrac{15}{\cos(26^{\circ})}[/tex]

[tex]\implies \sf x=16.7\:(nearest\:tenth)[/tex]

Given:

[tex]\theta[/tex] = 41°O = xA = 16

[tex]\implies \sf \tan(41^{\circ})=\dfrac{x}{16}[/tex]

[tex]\implies \sf x=16\tan(41^{\circ})[/tex]

[tex]\implies \sf x=13.9\:(nearest\:tenth)[/tex]

Write the quadratic equation in standard form: -7x+11= −2x^2

Answers

Answer:

[tex]x=\frac{7-\sqrt{137} }{4} =-1.76[/tex]

Step-by-step explanation:

what two numbers multiply to get -8 and add to get 4?

Answers

Answer:

 -2-2√3, -2+2√3

Step-by-step explanation:

Let x and y be two numbers.

Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:

 x(-4-x) = -8

 -4x -x^2 = -8 . . . . . eliminate parentheses

 x^2 +4x = 8 . . . . . . multiply by -1

 x^2 +4x +4 = 12 . . . add 4 to complete the square

 (x +2)^2 = 12

 x +2 = ±√12 = ±2√3

 x = -2±2√3

help me solve and explain this

Answers

Answer:

B because the length of R to U is 6x5

2. Find the slope of this line.

Answers

Answer:

Answered below

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

You need 2 coordinates from your graph as long as the line you have is completely straight. You have 2 points it is (0,3) & (8,0)

So your y2 is 0

y1 is 3

So your x2 is 8

x1 is 0

Plug in and solve (keep in mind you should be expecting a negative slope since your line is sloping downwards as you advance to the right.

m = (0-3)/(8-0)

m = -3/8

m = slope = -3/8x = -0.375x

Slope is given as a number followed by value x

Find the slope of the line that is parallel and perpendicular to the following equation.
2x - y = -2

Answers

Answer:

slope in parallel = 2

slope in perpendicular = [tex]\sf \bold{-\frac{1}{2} }[/tex]

y intercept = (0, 2)

Rewrite in slope intercept form:

slope intercept form: y = mx + b  || where "m" is slope and "b" is y-intercept

2x - y = -2-y = -2 - 2xy = 2x + 2         ** identify m and b _ _ _ m = 2, b = 2 **

y-intercept:  2  --- as "b" is [+2] then x will be always 0 at y-intercept

y-intercept coordinates: (0, 2)

slope is same when parallel

slope in parallel = 2   --- as "m" is [+2]

perpendicular slope is negative reciprocal of the parallel slope

m1 is the parallel slope and m2 is the perpendicular slope

m1 * m2 = -12 * m2 = -1m2 = -1/2   --- this is the slope of perpendicular line

Convert to slope intercept form

2x-y=-2y=2x+2

Slope:-

m=2

Parallel lines have equal slope

Slope of the perpendicular line=-1/2

Isabella is calculating the interest earned on a deposit of $3,000 in an account that earns 4% compound interest after 6 years.​

Answers

given:

$3,000 in an account that earns 4% compound interest after 6 years.

solution:

[tex]p = 3000[/tex]

[tex]r = 4[/tex]

[tex]t = 6years[/tex]

[tex]interest = \frac{prt}{100} [/tex]

[tex] = \frac{3000 \times 6 \times 4}{100} [/tex]

[tex] = 720[/tex]

therefore, $720 is the current amount of interest.

2
1) You have a 24 foot round swimming pool
that is four feet deep. What is the surface
area of the sides and bottom of the pool?
Round to the nearest tenth of a foot.

Answers

Answer:

The surface area is 301.4ft

Step-by-step explanation:

To find the surface area of a circular pool, you multiply the diameter and depth and then multiply by 3.14.

24*4 = 96

96*3.14 = 301.44

what is 20 - 10
what is 20+ 10

Answers

Answer:

20-10=20

20+10=30

Step-by-step explanation:

For 20-10 let's assume John has 20 apples. He gives 10 to Carol.

Understand that subtraction can mean taking away or finding a difference. For example, 13 – 8 can mean, “How many are left when you take 8 away from 13?” Or, 13 – 8 can be interpreted as, “How much more is 13 than 8?” Understand that subtraction is the opposite of addition. Know the addition facts up to 9 + 9.

If john has 20 apples and gives 10 to carol, he will have 10 left.

For 20+10, we do the opposite operation, which is addition.

Addition is finding the total value of two or more numbers. Addition is shown using the + symbol in maths sums.

If john has 20 apples and buys 10 more, he will have 30 apples.

Helpppp plssss!!!!!!!!!

Answers

Answer:

according to my calculations syour mada

6. A number solid with faces labeled 1 through 16 is rolled. What is the probability that the number 16 will appear facing up when the solid is rolled? Record the answer as a simplified fraction.​

Answers

Answer:

1/16 chance that it will land on 16 because there are 16 faces

Answer:

1/16.

Step-by-step explanation:

That will be 1 chance in 16.

What is the scale factor? Multiple choice

Answers

Answer:

0.753/4post/pre

Step-by-step explanation:

In general, a scale factor is applied to an original (pre) to obtain an image (post). It is the ratio post/pre that expresses the relationship between image dimensions and original dimensions.

Here, that post/pre ratio is 3/4 = 0.75.

(WILL GIVE BRAINLIEST TO CORRECT ANSWER)

Below is a table showing the maximum distance over time that an Adélie penguin can walk.

The distance that an emperor penguin can walk over a period of time is represented by the equation d=1.7t

A. Which penguin species has a faster maximum walking speed? Show your work.

B. Approximately how long would it take the fastest penguin from both species to walk 3 miles? Show your work

Answers

Answer:The penguin will walk 75.15 feet in 45 seconds.

It will take the penguin 26.95 seconds to walk 45 feet.

Through cross multiplication we can determine the unknown quantity we need

Step-by-step explanation:

Suppose ABCD is a parallelogram. If AB = 9x + 2, CD = 12x - 4, BC = x + 7, determine the length of AD.

Need help asap

Answers

Answer:  9 units

======================================================

Explanation:

For any parallelogram, the opposite sides are parallel and are the same length.

AB = CD

9x+2 = 12x-4

2+4 = 12x-9x

6 = 3x

x = 6/3

x = 2

Which leads to

AB = 9x+2 = 9(2)+2 = 20CD = 12x-4 = 12(2)-4 = 20BC = x+7 = 2+7 = 9

Side AD is opposite BC, so AD = BC = 9

Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink?

Answers

Answer:

12

Step-by-step explanation:

84/7 = 12

Each person will get 12 ounces to drink.

just divide 84/7 and that equals 12 i hope you get your work done soon enough

Help me please, (b) ​

Answers

Answer:Aob is in the center

Step-by-step explanation:You see x and y are parallel across from each other, and u v are the same. A O B is recorded in the center.

1,945x46 multiplying multiplication

Answers

Answer:

89,470

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs.
Match each object with the characteristic it represents.

a broom handle
the letter T
a sun ray
a cookie crumb
the horizon
rows of seats on
an airplane




ray
line segment
point
line
perpendicular lines
parallel lines

Answers

Answer:

a broom handle - line segment

the letter T - perpendicular lines

a sun ray - ray

a cookie crumb - point

the horizon - line

row of seats of airplane -  parallel lines

Step-by-step explanation:

a broom handle is straight and has a beginning and end, same goes for a line segment

the letter T has two lines that intersect with one another, these lines are perpendicular

a sun ray is well, a ray

a cookie crumb is small and round, similar to a point

lines do not have a beginning or end, like the horizon line

and the row of seats on an airplane all line up together like lines that are parallel.

Hope this helps :)

3. Erin is an architect who is currently constructing a new building. She is looking at the building's new blueprints. a) Erin needs to find the distance around the patio in order to finish construction soon and build a fence. What is the distance around the patio? Show your steps. b) Erin now needs to find the area of this part of the building in order to buy tiles for the floor plan, which is shown on the blueprints. What is the area of the floor plan? Show your steps

Answers

Answer:

a is when you need to go from 12 to 5 so is this flvs?

Step-by-step explanation:

Answer:


a)

first you need to find the missing lengths the first one would be

12-7=5
and the second one you will need to find the circumference
π*4*2=8π
and now you add

12+7+5+5+3+8π=32+8π
so the perimeter is 32+8π

b)

so lets make some sections

one of the sections will be a rectangle that is 8 in length and 7 in width
8*7=56units^2
and another reactangle that is 3 in length and 5 in width

3*5=15units^2
and then we need to find the area for the semicircle with a raidius of 4
π*4^2=16πunits^2
them divide by 2
(16π)/2=8pi
so the area would be 71+8π

Step-by-step explanation:

(Please someone help me!) (No links!)
What do I put??

Answers

Answer:

X=16

Missing angle = 48

Step-by-step explanation:

The value of x is 16
The measure of the missing angle is 48

This is because it’s a right angle meaning the two angles HAVE to equal 90.
You can set the equation as
42 + 3x=90
3x= 48 (subtract 48 by 90)
X=16 (divide both sides by 3)
And then you can plug 16 back into the 3x which would be 3(16) which equals 48
Or
You can set the equation as
90-42= 48
And divide by 3 to get x=16

5.5 - Solving Quadratic Equations - Perfect Square Trinomials and Difference of Squares
Factor the following if they are a perfect square trinomial or a difference of squares.
a) x^2 + 24x + 144 = 0
b) 9x^2 - 36x + 36 = 0
c) x^2 - 64 = 0
d) 4x^2 - 81 = 0

Answers

Answer:

Step-by-step explanation:

(a²-2ab+b²)=(a-b)²

a²+2ab+b²=(a+b)²

i solve b and d

(b)

9x²-36x+36=0

(3x)²+2×3x×-6+(-6)²=(3x-6)²

(d)

a²-b²=(a+b)(a-b)

4x²-81=0

4x²-81=(2x)²-9²=(2x+9)(2x-9)

1/2 of 4/5 as a fraction

Answers

Answer:

4/10 is the answer

( 1 * 4 ) / ( 4 * 5 ) = 4 / 10

4 / 10 = 2 / 5

Find the supplement of an angle that measures 20 degrees.

Answers

Supplementary angles add to be 180 degrees. If one angle is 20. The supplement angle is 160.
180 - 20 = 160
160 is your answer.

Which medical professional or service treats severe medical needs?

emergency room
pregnancy center
medical specialist
general practitioner

Answers

Answer:

emergency room

Step-by-step explanation:

well the most severe medical cases come from immediate accidents and for that you go to the emergency room

(correct me if I'm wrong)

Emergency room treats severe medical needs.

Given,

Treatment of severe medical needs.

Now,

Emergency room treats the person having critical illness which requires instant medication .

For example :

If a person met with an accident then the medication must be provided instantly so that the person can survive . Instant medication will be provided under emergency rooms .

Therefore option A is correct .

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Please help with the proportions word problem!!

Jillian wants to buy an $80 pair of boots. Before she can, the store raises the price by $24. By what percentage did they raise the price? Use proportions to solve the problem.

Answers

Answer:

30%

Step-by-step explanation:

the percent of 24 of 80 is 30% so they rasid the price 30% percent of 80

6th grader here sorry if wrong

All you need to is 80-24=56 so your answer is 56

A cylinder has a height of 20 inches and a radius of 19 inches. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.?????????HELP PLEASEEEEEEEEEEE

Answers

Answer:

22670.8 :D

Step-by-step explanation:

Volume of a cylinder: 3.12(r^2)h

Now lets solve :)

3.14(19^2)20

3.14(361)20

(1133.54)20

22670.8 :)

Have an amazing day!!

Please rate and mark brainliest!!

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