Answers
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.
Related Questions
Next Question!!? Help please... <3
Answers
Answer:
x=4 and y=0
Step-by-step explanation:
Sub x-4 in for y:
2x+4(x-4)=8
2x+4x-16=8
6x=24
x=4
y=x-4
y=4-4
y=0
Y = 4
X = 0
Answer is 8
Solve the system of linear equations by substitution. 4x−2y=14 y=12x−1
Answers
Answer:
Step-by-step explanation:
16
What is the total price of 2.6 pounds of pears at 90 cent per pound?
Answers
Answer:
It would be $2.34
Step-by-step explanation:
2.6x90=234 but in this case it is money so add a decimal
What’s the constant of proportionality
(COP= constant of proportionality) help plz
Answers
What is the length of AB? 4 units 5 units 6 units 7 units
Answers
Answer:
the answer is 6 units
Step-by-step explanation:
find point A and point B and then just count the units over from
A to B and you will get AB is 6 units
Answer c
Step-by-step explanation: bc its 6 units
Hi I need help please 10 points for answering questions 3 and 4 correctly please it’s due tomorrow
Answers
Answer:
3. 150% 4. 8.3%
Step-by-step explanation:
Percent error formula is the difference between the actual and estimated divided by actual times 100.
3. (5-2) / 2 x 100= 150%
4. (24-22)/ 24 x 100 = 8.3%
What is the equation in standard form of a line that passes through the point (-2, 5) and has a slope of -0.3?
Answers
Answer:
y= −0.3x+4.4
Step-by-step explanation:
PLEASE HELP HURRY LOOK AT IMAGE!!!!
Answers
I need this by tomorrow! please help me, I'm desperate. I dont understand it well.
Answers
0 = 4x + 4 linear equation
Answers
Answer:
x = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
0 = 4x + 4
Step 2: Solve for x
Subtract 4 on both sides: -4 = 4xDivide 4 on both sides: -1 = xRewrite: x = -1what is everyones favorite UNDERTALE character
Answers
Answer:
flowey the flower (aka: Asriel Dreamer)
Step-by-step explanation:
Answer:
papyrus flowery
Step-by-step explanation:
A train travels at a speed of 35 miles per hour. How far will the train travel in 5 hours?
This is Math
Answers
Answer:
175 miles
Step-by-step explanation:
35 times 5 = 175
Explanation: 35x5=175
What is the midpoint of the segment shown below?
10
(-1,5)
O A. (-3.3)
B. (-7,3)
. 10
10
(-6, -2)
O C. (-7, )
O D. (
-3)
10
SUBMIT
Answers
Answer: D. (-7/2,3/2)
Step-by-step explanation: (apx)
The midpoint of the segment shown below is option D. (-7/2, 3/2).
What are the Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
Given a line segment with the given coordinates for the end points.
Midpoint of a segment with end points (x, y) and (x', y') is,
Midpoint = ((x + x') / 2, (y + y') / 2)
Here the end points of the segment are (-6, -2) and (-1, 5).
Midpoint of the segment = ((-6 - 1) / 2, (-2 + 5) / 2)
= (-7/2, 3/2)
Hence the mid point of the segment is (-7/2, 3/2).
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Which inequality is true?
Answers
Answer:
a
Step-by-step explanation:
Answer:
The inequality -2 [tex]\frac{3}{4}[/tex] < -1 [tex]\frac{2}{4}[/tex] is correct.
Step-by-step explanation:
-2 [tex]\frac{3}{4}[/tex] is greater than -1 [tex]\frac{2}{4}[/tex] because the more left the number is on the number line, the smaller.
Therefore the inequality -2 [tex]\frac{3}{4}[/tex] < -1 [tex]\frac{2}{4}[/tex] is correct.
6∛I=
9∴ =
2² - y3=
Answer fast pls
Answers
Answer:
the last one is 4−y^3
the others i dont know sorry :(
Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
D
36 cm
X
h
A А
E
20 cm
Answers
Answer:
h = 24 cm
Step-by-step explanation:
By using the similar triangle property in the given triangles,
Since, ΔBCD ~ ΔBAE
Their corresponding sides will be in the same ratio,
[tex]\frac{BC}{BA}= \frac{CD}{AE}= \frac{BD}{BE}=\frac{a}{h}[/tex]
[tex]\frac{CD}{AE}=\frac{a}{h}[/tex]
[tex]\frac{10}{20}=\frac{(36-h)}{h}[/tex]
10h = 20(36 - h)
10h = 720 - 20h
30h = 720
h = 24 cm
Therefore, height h = 24 cm is the answer.
Answer:
24
Step-by-step explanation:
I took the test
I need help solving this practice math problem
Answers
Can someone help me please?
Answers
Answer:
B) x = 2√2, y = 2
Step-by-step explanation:
The easiest way to solve this is to see that because one corner is 90 degrees, and the other 45, then the third one must also be 45. This means that the two sides on the right angle are the same length, so y = 2.
With that then, you can use the Pythagorean theorem to solve for x:
[tex]x = \sqrt{2^2 + 2^2}\\x = \sqrt{4 + 4}\\x = \sqrt{8}\\x = 2\sqrt{2}[/tex]
So the correct answer is b. x is equal to two root two, and y is equal to two.
Question
Under ideal conditions, the population of a certain species doubles every nine years. If the population starts
with 100 individuals, which of the following expressions would give the population of the species t years after
the start, assuming that the population is living under ideal conditions?
Answers
Answer: 100 x 2^ t/9
Step-by-step explanation:
The initial population of 100 that doubles in 9 years, gives the
expression for population as; [tex]\underline{ P = 100 \cdot e^{0.077 \cdot t}}[/tex].
How can the expression for the population be found?Given parameters are;
The time it takes the population to double = 9 years
The initial population count = 100
Required:
The expression that gives the population after t years.
Solution:
The population as a function of time can be expressed as an
exponential function as follows;
[tex]P = \mathbf{P_0 \cdot e^{c \cdot t}}[/tex]
At the start, t = 0, P = 100, we have;
[tex]100 = \mathbf{ P_0 \times e^{c \times 0} }= P_0[/tex]
Therefore;
P₀ = 100
After 9 years, we have;
P = 2·P₀
Therefore;
[tex]2 = \mathbf{ e^{c \times 9}}[/tex]
ln(2) = 9·c
[tex]c = \dfrac{ln(2)}{9} \approx 0.077[/tex]
The function that gives the population is therefore;
[tex]\underline{ P = 100 \cdot e^{0.077 \cdot t}}[/tex]Learn more about exponential functions here:
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PLEASE HELP!! I’ve got a car with an internal volume of 12,000 L. If I drive my car into the river and it implodes, what will be the volume of the gas when the pressure goes from 760 mmHg to 141.82 kPa?
Answers
Answer:
V2 = 8571.43L
Step-by-step explanation:
To solve for the V2, We can use V2 = P1V1 / P2
= 1.0 atm × 12,000 L / 1.4 atm
= 12,000 L / 1.4 atm
= 8571.43 L
1. A wise old man once said, "500 reduced by 4 times my age is
296." What is his age?
Answers
Answer:
51
Step-by-step explanation:
51×4=204
500-204=296
Ms. Agokeng is making a trip to Pennsylvania that is more than 250 miles. She has already driven 45 miles and is continuing her drive at 70 miles per hour. Which of the following inequalities represents the amount of time she has left in the car?
Answers
Answer:
The correct answer is A.) 45 + 70x < 250.
y = mx + b
She started at 45 miles (+ 45).
She has to go at least 250 miles (< 250).
She is driving at a constant, unchanging speed of 70 mph (70x).
Can some one plz help fast F=-m+B/q^3
Answers
whaaaa
aeeeee
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sorreee
36. Write the triangle congruence criterion illustrated
by each pair of triangles.
Answers
Answer:
A - ASA
B - ASA
C - SAS
D - SSS
Step-by-step explanation:
I hope this helps you out!
i got my question as 4r-2r=5-3r, how do i solve this
Answers
Answer:
well if ur looking for r, then r=1 hope dis helps
Step-by-step explanation:
4r-2r=5-3r
combine like turms
2r=5-3r
+3r +3r
5r=5
/5 /5 5/5=1
R=1
think about brinlist thank you
M/8-15=-12
What would m equal??
Answers
Answer:
24?
Step-by-step explanation:
Samuel deposits $100 in a high-interest account that has an interest rate of 10% compounded annually. Samuel decides to neither add to nor withdraw money from the account for the next 10 years. How much will be in his account in 3 years? How long will it take to accumulate $61 in interest?
Answers
Answer:
In 3 years, the value of Samuel’s account will be approximately $133
It will take about 5 years for Samuel’s account to earn $61 in interest.
Step-by-step explanation:
edmentum
what is a prime number
Answers
Answer:
Step-by-step explanation:
Prime number is
Answer: Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.
Step-by-step explanation:
Pls help I’m bad at math no matter how much I try
Answers
Answer:
9/1 = 0.9
2 = 2.0
3 1/10 = 3.1
10 = 100
Step-by-step explanation:
Select the reason why these triangles are
similar. If they are not, select "Not similar".
Α. ΑΑ
B. SAS
C. SSS
D. Not similar
Answers
Answer:
not similar
Step-by-step explanation:
similar means proportional
1, 1, and 0.5 are not proportional to 3.5, 3, and 2.25
As the two side lengths of the smaller triangle is the same but the ratio of those side in a larger triangle and the smaller triangle is different they are, D. Not similar.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know two triangles are similar if the ratios of their corresponding sides are equal.
The larger triangle has sides 3, 3.5, and 2.25.
And the smaller triangle has sides 1, 1, 0.5.
As the smaller triangle has side lengths 1, 1, and the ratio of the sides of the larger triangle and the smaller triangle is (2 + 1)/1 and (2.5 + 1)/1 which is equal to 3/1 and 3.5/1 3 and 3.5 but the smaller side has 1 and 1, therefore, they are not similar.
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