The graph of a function y=f(x) does not always cross the y-axis. However, It only does so if the function has a y-intercept, which is not always the case.
First, let's define what we mean by the y-axis. The y-axis is the vertical line that runs through the origin of the coordinate plane. It represents the values of y, while x takes on a value of zero. Now, if a function has a y-intercept, which is the point where the graph intersects the y-axis, then it will cross the y-axis. The y-intercept is the point where x=0, so the coordinates of the point will be (0, y).
Some common functions that have a y-intercept include linear functions, which have a graph that is a straight line, and quadratic functions, which have a graph that is a parabola.
For example, the linear function y=2x+1 has a y-intercept of (0,1), so its graph crosses the y-axis at that point. The quadratic function y=x^2-4x+3 has a y-intercept of (0,3), so its graph also crosses the y-axis at that point.
However, there are many functions that do not have a y-intercept and therefore do not cross the y-axis. Examples of such functions include sine and cosine functions, which oscillate between positive and negative values but never touch the y-axis.
To know more about graph of a function visit:
https://brainly.com/question/30686770
#SPJ11
The total mass of 4 identical pencil boxes and a notebook is 700 g. each pencil box has a mass of 140 g. what is mass of the notebook?
Answer:
140g
Step-by-step explanation:
One pencil box has a mass of 140g, to find out the weight of 4 pencil boxes we multiply 140 by 4: 140*4 = 560g
Let the mass of the notebook be x: 560+x = 700
560+x = 700
x = 140g
On a coordinate plane, a line goes through (0, 1) and (5, 0). what is the equation of the line that is perpendicular to and has the same y-intercept as the given line? y = one-fifthx 1 y = one-fifthx 5 y = 5x 1 y = 5x 5
Answer: [tex]y=5x+1[/tex]
Step-by-step explanation:
The slope of the given line is
[tex]\frac{1-0}{0-5}=-\frac{1}{5}[/tex]
Since perpendicular lines have slopes that are negative reciprocals, the slope of the line we want to find is 5.
Since the y-intercept is (0,1), the equation is [tex]y=5x+1[/tex].
Answer: the answer is c
In a certain card game, the probability that a player is dealt a particular hand is. Explain what this probability means. If you play this card game 100 times, will you be dealt this hand exactly times? why or why not?.
No, you will not be dealt this hand exactly 48 times. This can be obtained by understanding the concept of probability.
What does the probability mean?The probability means that out of 100 times nearly 48 times the player is dealt the particular hand.
No, you will not be dealt this hand exactly 48 times since 48 times is an approximate value out of 100 times.
Learn more about probability here:
brainly.com/question/11234923
#SPJ4
Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: In a certain card game, the probability that a player is dealt a particular hand is 0.48. Explain what this probability means. If you play this card game 100 times, will you be dealt this hand exactly 48 times? Why or why not?
5/8 of the students in siena's class have brown eyes. 2/3 of the students with brown eyes are girl. what fraction of the students in siena's class are girls with brown eyes? *
The fraction of the students in Siena's class are girls with brown eyes is 5/12.
Let the fraction of students in Siena's class with brown eyes be a=5/8.
And the fraction of students in Siena's class with brown eyes are girls be b=2/3.
Then, the fraction of students in Siena's class are girls with brown eyes be z=a×b
Therefore, by substituting the fraction values, we get
z=(5/8)×(2/3)
z=5/12.
Hence, 5/8 of the students in Siena's class have brown eyes. 2/3 of the students with brown eyes are girl. Then, the fraction of students in Siena's class are girls with brown eyes is 5/12.
Learn more about Fractions on
https://brainly.com/question/78672
#SPJ1
Which statement can you use to conclude that quadrilateral xyzw is a parallelogram
Answer: Option (4)
Step-by-step explanation:
A quadrilateral with two pairs of opposite congruent sides must be a parallelogram.
then he started to prepare the games for this 4 friends. if each game takes 5 minutes to prepare and he prepared a total of 5 games. how many minutes did it take for andrew to prepare all the games
Answer:
25 minutes
Step-by-step explanation:
If it takes 5 minutes to prepare one game we need to multiply 5 games by 5 minutes: 5*5 = 25 minutes
What is the simplified form of startroot 100 x superscript 36 baseline endroot ?
The simplified form of the expression is [tex]10 x^{18}[/tex].
What are indices in maths?
An index, or a power, is the small floating number that goes next to a number or letter.The plural of index is indices. Indices show how many times a number or letter has been multiplied by itself.The given expression is [tex]\sqrt{100x^{36} }[/tex]
Applying the rule, [tex]\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}[/tex]
Now, [tex]\sqrt{100} \sqrt{x^{36} }[/tex]
Simplifying, we get;
[tex]10\sqrt{x^{36} }[/tex]
Applying the exponent rule, [tex]a^{bc} = (a^{b} )^{c}[/tex]
We get
[tex]10 \sqrt{(x^{18} })^{2}[/tex]
[tex]10 x^{18}[/tex]
Therefore, the simplified form of the expression is [tex]10 x^{18}[/tex].
Learn more about indices
brainly.com/question/17172725
#SPJ4
Answer:
10 x 18
Step-by-step explanation:
Solving equations with fractions- how do i solve this
Answer:
[tex]x=\frac{83}{36}[/tex]
Step-by-step explanation:
1) Convert [tex]2\frac{1}{4}[/tex] to improper fraction. Use this rule: [tex]a\frac{b}{c} =\frac{ac+b}{c}[/tex].
[tex]x-\frac{2\times4+1}{4} = \frac{1}{18}[/tex]
2) Simplify [tex]2\times4[/tex] to 8.
[tex]x-\frac{8+1}{4} =\frac{1}{18}[/tex]
3) Simplify [tex]8+1[/tex] to 9.
[tex]x-\frac{9}{4} =\frac{1}{18}[/tex]
4) Add [tex]\frac{9}{4}[/tex] to both sides.
[tex]x=\frac{1}{18} +\frac{9}{4}[/tex]
5) Simplify [tex]\frac{1}{18} +\frac{9}{4}[/tex] to [tex]\frac{83}{36}[/tex].
[tex]x=\frac{83}{36}[/tex]
Decimal Form: 2.305556
Answer:
83/36
Step-by-step explanation:
x - 2 1/4 = 1/18
x = 1/18 + 9/4
L.C.M= 36,
x = 1x2/18x2 + 9x9/4x9
x = 2/36 + 81/36
x = 83/36
Decimal form = 2.305556
HURRY PLS ANSWER NOW!!
What is the area of the trapezoid?
33 in2
52.5 in2
82.5 in2
91 in2
Answer:
91 in2
Step-by-step explanation:
11+15 over 2 , times by 7 equals 91 ??
Someone help pls, its urgent! ASAP!! (Geometry)
“Complete the proofs”
Question 8
1) [tex]\triangle ACE[/tex] with [tex]\overline{AC} \cong \overline{EC}[/tex], [tex]\overline{BC} \cong \overline{DC}[/tex] (given)
2) [tex]\angle C \cong \angle C[/tex] (reflexive property)
3) [tex]\triangle ACD \cong \triangle ECB[/tex] (SAS)
Question 9
1) [tex]\overline{PQ}[/tex] and [tex]\overline{PR}[/tex] are the legs of isosceles [tex]\triangle PQR[/tex], [tex]\overline{PS} \cong \overline{QR}[/tex] (given)
2) [tex]\angle PSQ[/tex] and [tex]\angle PSR[/tex] are right angles (definition of perpendicular lines)
3) [tex]\angle Q \cong \angle R[/tex] (angles opposite the legs of an isosceles triangle are congruent)
4) [tex]\overline{PS} \cong \overline{PS}[/tex] (reflexive property)
5) [tex]\angle PSQ \cong \angle PSR[/tex] (all right angles are congruent)
6) [tex]\triangle PSQ \cong \triangle PSR[/tex] (AAS)
Question 10
1) [tex]\overline{AB} \cong \overline{CD}[/tex], [tex]\overline{AB} \perp \overline{BC}[/tex], [tex]\overline{CD} \perp \overline{AD}[/tex] (given)
2) [tex]\overline{AC} \cong \overline{AC}[/tex] (reflexive property)
3) [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] are right angles (perpendicular lines form right angles)
4) [tex]\triangle ABC[/tex] and [tex]\triangle ADC[/tex] are right triangles (a triangle with a right angle is a right triangle)
5) [tex]\triangle ABC \cong \triangle CDA[/tex] (HL)
6) [tex]\overline{AD} \cong \overline{CB}[/tex] (CPCTC)
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
[tex]Answer: \displaystyle\left {{x^2+(y-3)^2=36} \atop {x^2+(y+8)^2=36}} \right. .[/tex]
Step-by-step explanation:
[tex]D=12\ \ \ \ O(0;b)\\\displaystyle\\R=\frac{D}{2}\\R=\frac{12}{2} \\ R=6.\\Circle \ equation\ is:\\(x-a)^2+(y-b)^2=R^2.\\a=0\ \ \ \ \ R=6\\x^2+(y-b)^2=6^2\\x^2+(y-b)^2=36\\Henese:\\\displaystyle\\\left {{x^2+(y-3)^2=36} \atop {x^2+(y+8)^2=36}} \right. .[/tex]
Y=5-2x 4x+2y=10 please help me
Answer:
Infinite solutions.
Step-by-step explanation:
y = 5 - 2x
2x + y = 5 ---------(I)
a₁ = 2 ; b₁ = 1 and c = 5
4x + 2y = 10
a₂ = 4 ; b₂ = 2 and c₂ = 10
[tex]\sf \dfrac{a_1}{a_2}=\dfrac{2}{4}=\dfrac{1}{2}\\\\\dfrac{b_1}{b_2}=\dfrac{1}{2}\\\\\dfrac{c_1}{c_2}=\dfrac{5}{10}=\dfrac{1}{2}[/tex]
⇒ [tex]\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=\dfrac{1}{2}[/tex]
So, the line are coincident and has infinite solutions.
this is a question on a review assignment that i’m stuck on , my summer school teacher said i could get help if i needed. any help would be greatly appreciated
Answer:
may be 3549 cube inch while rounded up.
A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?
The net Change in latitude and longitude of the helicopter are; 28.47° and 7.35° respectively.
What is the net Change in latitude and longitude of the helicopter?The net change in latitude of the helicopter can be evaluated as follows;
x = |-6.20° - 22.27°| = |-28.47°|
x = 28.47°
The net change in longitude of the helicopter can be evaluated similarly as follows;
y = |106.80° - 114.15°| = |-7.35°|
x= 7.35°
Read more on longitude and latitude;
https://brainly.com/question/1939015
#SPJ1
In a class of 48 students, one fourth of them regularly watch a particular tv programme. how many of the students do not regularly watch the programme?
36 students does not watch regularly the programme.
Lets simplify the problem,
Total students = 48
Regular students 1//4*48
=> 12 students
Through Simple Subtraction method,
Irregular students = Total students - regular students
Irregular students = 48-12
=36
Hence 36 students does not watch regularly the programme.
Learn more about Fraction on:
https://brainly.com/question/78672
#SPJ4
20 points, help me, please !!!!!
(a) |-9| + 6 = 9 + 6 = 15
(b) |-9 + 6| = |-3| = 3
CORRECT ANSWER GETS BRAINLIST
Answer:
y = -1x + 1
Step-by-step explanation:
y = mx + c
y = gradient(x intercept) + y intercept
y = -1x + 1
3/4 + 1/2 + 1/3 + 2/9 + ....... = 9/4 es verdadero oh falso y como se resuelve ?
The missing fraction is 7/9
Finding missing values in an addition equationThe given equation is:
[tex]\frac{3}{4}+\frac{1}{2}+\frac{2}{9}+x=\frac{9}{4}[/tex]
This can be simplified as:
[tex]\frac{27+18+8+36x}{36} =\frac{9}{4} \\\\\frac{53+36x}{36} =\frac{9}{4}[/tex]
Cross multiply
[tex]9(36)=4(53+36x)\\\\324=212+144x\\\\144x=324-212\\\\144x=112\\\\x=\frac{112}{144} \\\\x=\frac{7}{9}[/tex]
Therefore, the missing value is [tex]\frac{7}{9}[/tex]
Learn more on addition equations here: https://brainly.com/question/702197
#SPJ1
Which graph represents the solution
8 - 3x ≥ -4
Answer:
3rd option
Step-by-step explanation:
8 - 3x ≥ - 4 ( subtract 8 from both sides )
- 3x ≥ - 12
divide both sides by - 3 , reversing the symbol as a result of dividing by a negative quantity.
x ≤ 4
since ≤ the circle on number line is solid ( not open )
since less than 4 then arrow points left away from 4
the solution is shown on the third graph
What total length of ribbon is needed to line the two long sides of the hat? 10 in. 11 in. 20 in. 22 in.
A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. The total length of ribbon that is needed to line the two long sides of the hat is 22 inches.
According to the question,
A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides that are opposite each other rather than adjacent.
Since the two adjacent small and two adjacent long sides of a kite are always equal. Therefore, the length of the smaller sides can be written as,
(2x + 1) inches = 5 inches
2x + 1 = 5
2x = 4
x = 2
Now, the length of the longer side of the kite can be written as,
(3x + 5) inches
= 3(2) + 5
= 11 inches
As both the long sides are needed to be covered with the ribbon, therefore, the length of the ribbon needed is,
Ribbon needed = 11 inches × 2
= 22 inches
Hence, a kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. the total length of ribbon that is needed to line the two long sides of the hat is 22 inches.
Learn more about Kite here
brainly.com/question/2918354
#SPJ4
PLEASE HELP!!! the photo has the question and options please help
The equation which expresses the number of bacteria, P, present at any time, t is P(t) = 4(2)^t
EquationNumber of bacteria = PTime = tCheck all options
When t = 1
P(t) = 8(4)^t
= 8(4)¹
= 8(4)
P(t) = 32
Not true
P(t) = 4(2)^t
= 4(2)¹
= 4(2)
= 8
True
P(t) = (2)^t
= (2)¹
= 2
Not true
P(t) = 8(2)^t
= 8(2)¹
= 8(2)
= 16
Not true
Learn more about equation:
https://brainly.com/question/2972832
#SPJ1
The number 21 is the sum of two consecutive integers 10 and 11. What is the largest number of positive, consecutive integers whose sum is 21
Answer:
11
Step-by-step explanation:
What elements does a strong body paragraph in a literary analysis always contain? Select three options.
The elements which must be contain in a body paragraph of a literary analysis are;
An introduction to a text.Reasons that support a viewpoint.Supporting evidence and commentary.What elements does a strong body paragraph in a literary analysis always contain?A strong body paragraph basically is characterized as a medium of stating facts regarding a viewpoint and these statements must be accompanied by supporting evidence and commentary.
On this note, the three elements which should be contained in a strong body paragraph are;
An introduction to a text.Reasons that support a viewpoint.Supporting evidence and commentary.Remarks:
an introduction to a text
reasons that support a viewpoint
O a thesis statement
supporting evidence and commentary
Da summary of the main points
Read more on body paragraphs;
https://brainly.com/question/3215333
#SPJ1
The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation is known as the _____. Group of answer choices constant term error term residual model parameter
The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation is known as the Residual model.
What is regression?Regression is the process used to predict the variation in one variable based on another variable.
What are the dependent variable and the independent variable?The variable that is to be predicted by the regression is called the dependent variable or response variable since it depends on another variable.The variable that is used to predict the dependent variable is called the independent variable or explanatory variable since it explains the variation in the required variable.The dependent values belong to the y-axis and the explanatory values belong to the x-axis. What is a residual model?The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation is known as the residual model.
This value s predicted by the regression line.
Residual = Observed value - predicted value
Therefore, the difference is known as residual.
Learn more about the regression analysis here:
https://brainly.com/question/7781679
#SPJ4
Warm-Up
Consider the graph of function f.
Determine which equation matches each described transformation of function f.
Drag the tiles to the correct boxes to complete the pairs.
If this is the one you are talking about then:
horizontal translation of 3 units is: y= f(x-3)
vertical stretch by a scale factor of 3 is: y= 3f(x)
reflection over the x-axis is: y= -f(x)
vertical translation of 3 units is: y= f(x)+3
Step-by-step explanation:
Adding a value to f(x) translates the graph of f vertically. So, the equation that shows a vertical translation of 3 units is y = f(x) + 3.
Adding a value to the input, x, of f(x) translates the graph of f horizontally. So, the equation that shows a horizontal translation of 3 units is y = f(x − 3).
Multiplying f(x) by a negative value reflects the graph of f over the x-axis. So, the equation that shows a reflection over the x-axis is y = -f(x).
Multiplying f(x) by a constant, k, vertically stretches the graph of f by a scale factor of k. So, the equation that shows a vertical stretch by a scale factor of 3 is y = 3f(x).
How many significant digits are there in the number 1.00250? A.7 B. 6 C. 5 D. 4
Answer:
B.6 is the significant digits of number 1.00250
I HOPE IT HELP YOU
The number of significant figures that are available in 1.00250 are; B: 6
What is the significant figure?
Significant figures are defined as the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value.
Now, in the question we are given the decimal number 1.00250.
Now, it should be noted that when dealing with significant numbers as regards decimals, any zero digit to the left of the decimal is a non-significant figure while any zero digit to the right of the decimal is a significant figure.
Thus, the significant figures in the question are all the numbers which are 6 in number.
Read more about Significant Figures at; https://brainly.com/question/24491627
#SPJ1
the population of happy land is 15.8 happys per acre exactly 553 happys live in happy land. how many acres is happyland
Answer:
35 acres.
Step-by-step explanation:
Proportions:
15. 8 ⇒ 1 acre
553 ⇒ P acres
P = 553*1/15.8
P = 35 acres
Amadou has a points card for a movie theater.
He receives 30 rewards points just for signing up.
He earns 8.5 points for each visit to the movie theater.
He needs 115 points for a free movie ticket.
Write and solve an equation which can be used to determine vvv, the number of visits Amadou must make to earn a free movie ticket.
He needs to do 10 visits to earn a free ticket.
How many visits Amadou must do to earn a free ticket?
We know that he gets 30 points just for signing up, and he gets 8.5 points for each visit, then the amount of points as a function of v, the number of visits, is:
P(v) = 30 + 8.5*v
He will get a free movie ticket when he gets 115 points, then we need to solve the linear equation:
P(v) = 115 = 30 + 8.5*v
Solving for v:
v = (115 - 30)/8.5 = 10
He needs to do 10 visits to earn a free ticket.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Polynomial Question
Find the roots if one of the roots is the product of the other two
Step-by-step explanation:
x³ - x² - 24x - 36
factors of -36 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and negative equivalents.
1 - 1 - 24 - 36 != 0
8 - 4 - 48 - 36 != 0
27 - 9 - 72 - 36 != 0
64 - 16 - 96 - 36 != 0
216 - 36 - 144 - 36 = 0
So one factor is 6
x = 6
(x - 6) = 0
x²(x - 6) = x³ - 6x²
5x(x - 6) = 5x² - 30x
6(x - 6) = 6x - 36
x³ - 6x² + 5x² - 30x + 6x - 36
(x - 6)(x² + 5x + 6)
(x - 6)(x² + 3x + 2x + 6)
(x - 6)(x(x + 3) + 2(x + 3))
(x - 6)(x + 3)(x + 2)
x - 6 = 0
x = 6
x + 3 = 0
x = -3
x + 2 = 0
x = -2
x = -2, -3, 6.
One is the product of the other 2 as -2 x -3 = 6.
Graphic proof is shown above or below in the image
ASAAP PLEASE PLEASEPLEASE PLEASE
2b^3 -5 b^2 +b+2. R 9/ b-4
Use synthetic division