The required correct answer is (a) x-intercept is (-8,0) and the y-intercept is (0,8).
What is the intercept in the equation?In the context of a linear equation, an intercept is a point where the graph of the equation crosses or intersects with one of the axes in a coordinate system. There are two types of intercepts:
x-intercept: the point where the graph crosses the x-axis. It occurs when y = 0. In other words, the x-intercept is the value of x when y = 0 in the equation.y-intercept: the point where the graph crosses the y-axis. It occurs when x = 0. In other words, the y-intercept is the value of y when x = 0 in the equation.Here,
To find the x-intercept, we set y = 0 in the equation y = x + 8 and solve for x:
0 = x + 8
x = -8
Therefore, the x-intercept is (-8, 0).
To find the y-intercept, we set x = 0 in the equation y = x + 8 and solve for y:
y = 0 + 8
y = 8
Therefore, the y-intercept is (0, 8).
So the correct answer is (a) the x-intercept is (-8,0) and the y-intercept is (0,8).
Learn more about intercept here:
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What is 5-4 in the quadratic
Answer:
1
Step-by-step explanation:
The point is located in the first quadrant because x and y are both positive. The quadrants are labeled in counter-clockwise order, starting in the upper-right.
find the slope of a line parallel to x-y=18
Answer:
Mparallel = 1
Step-by-step explanation:
Hope this helps!
Selena is 6 years younger than pual. in 15 years, pual will be 4 times the age Selena is now. what are their present ages?
Answer:
13 & 7.
Hope this helps.
Susan plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.
Answer:
3n=m
Step-by-step explanation:
Answer:
3m=n
Step-by-step explanation:
m equals the number of months she watches multiply that by three because three plus three plus three is the same as three times three. and n is the equal because that is our total of movies she is going to watch. so three times the number of months she watched three movies consecutively to equal the total number of movies
7. One day in Mayville, the temperature went from -11F at 4 AM to 28°F at 2 PM. How many degrees did the temperature rise?
Answer:
23
Step-by-step explanation:
What is the term used for unscheduled full or partial payment of the principal amount
outstanding on a loan before its due date?
Answer:
This is called a prepayment
A square poster has an area measure of 324x^2 + 540x + 225 square units. Determine the side length of the poster.
[tex]\huge\text{$(18x+15)$ units}[/tex]
Given the area, we need to find the side length. Let's start with the area equation for a square, where [tex]s[/tex] is the side length and [tex]A[/tex] is the area.
[tex]s^2=A[/tex]
Substitute in the known value.
[tex]s^2=324x^2+540x+225[/tex]
Now we need to factor the trinomial. The trinomial given for the area is a perfect square trinomial since [tex]324[/tex] ([tex]18^2[/tex]) and [tex]225[/tex] ([tex]15^2[/tex]) are both perfect squares.
We also know that [tex]a^2+2ab+b^2=(a+b)^2[/tex], which we can use to factor.
[tex]s^2=324x^2+540x+225\\s^2=(18x)^2+2(18x)(15)+15^2\\s^2=(18x+15)^2[/tex]
Now, take the square root of both sides to fully isolate [tex]s[/tex].
[tex]\sqrt{s^2}=\sqrt{(18x+15)^2}[/tex]
Keep in mind that the square root of any value squared is the original value.
[tex]s=\boxed{18x+15}[/tex]
what is the value of x in 1.5=x+0.25
Answer:
x = 1.25
Step-by-step explanation:
1.5 = X + 0.25
1.25 = x you subtract 0.25 from both sides
This problem uses the Richter scale for the strength of an earthquake. The strength, W, of the seismic waves of an earthquake are compared to the strength, W0, of the seismic waves of a standard earthquake. The Richter scale rating, M is given by the following equation:
M=log(W/W0)
Now, consider the Caracas earthquake, which occurred in Venezuela in the year 1967 and had a Richter scale rating of 6.5. How many times more powerful were the seismic waves of the Caracas earthquake than standard seismic waves?
if ABC forms a linear pair with CBD, use the Linear Pair Postulate to determine the value of x
The value of x from the figure is 13
The sum of angles on a straight line is 180 degrees.
From the given diagram;
2x + 13x - 15 = 180Simplify
15x - 15 = 180
Add 15 to both sides
15x - 15 + 15 = 180 + 15
15x = 195
x = 195/15
x = 13
Hence the value of x from the figure is 13
Learn more on linear pair here: https://brainly.com/question/8720873
FOR A BRAINLIST PLEASEEEEEEEEEEEE HELP MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
Answer: 4/20, or 1/5
Step-by-step explanation: since there are 4 orange, and 20 total, then if you were to draw an orange it would be 4/20(this is very basic probability)
Answer:
A
Step-by-step explanation:
pretty sure thats it
-7 + 11p = 3p - 47
Please help me figure out how to work it out
Answer:
p = -5
Step-by-step explanation:
11p-3p = 8p
-47+ 7 = -40
8p = -40
-40/8 = -5
another triangle congruent question , it’s in the picture thanks :)
Answer:
I think it is either the first or second answer
Step-by-step explanation:
a rectangular sign has a length of 3 and 1/2 ft and width of 1 and 1/8 ft will the area of the sign be greater or less than 3 and 1/2 ft, how do you know? What is the area of the sign?
Answer:
The area is 3.9375 cubic ft, so yes, the area will greater than 3 and 1/2 ft.
Hope this helps:)
Step-by-step explanation:
Length of a rectangular sign :-
[tex] = 3 \frac{1}{2} \: \: m[/tex]
Width of a rectangular sign :-
[tex] = 1 \frac{1}{8} \: \: m[/tex]
We know that :-The formula for finding the area of a rectangle is :-
[tex] =\bold{ length \times breadth}[/tex]
Which means :-The area of the rectangular sign:-
[tex] =3 \frac{1}{2} \times 1 \frac{1}{8} [/tex]
[tex] = \frac{(2 \times 3 )+ 1}{2} \times \frac{(8 \times 1) + 1}{8} [/tex]
[tex] = \frac{6 + 1}{2} \times \frac{8 + 1}{8} [/tex]
[tex] = \frac{7}{2} \times \frac{9}{8} [/tex]
[tex] = \frac{7 \times 9}{2 \times 8} [/tex]
[tex] = \frac{63}{16} [/tex]
[tex] ={3 \frac{15}{6} \: \: }[/tex]
[tex] = 3 \frac{15 \div 3}{6 \div 3} [/tex]
[tex] ={ 3 \frac{5}{2} \: m}[/tex]
Thus, the area of the rectangular sign is:-
[tex] =\bold{ 3 \frac{5}{2} \: m}[/tex]
We can see that :-[tex]\bold{3 \frac{5}{2} \: > 3 \: \frac{1}{2} \: }[/tex]
Which will mean that the area of the rectangular sign is greater than [tex] { 3 \frac{1}{2} \: m}[/tex].
Therefore, the area of the rectangular sign is = [tex] \bold{ 3 \frac{5}{2} \: m}[/tex] and it is greater than [tex] \bold{ 3 \frac{1}{2} \: m}[/tex] .
Describe all numbers x that are at a distance of 1/2 from the
number – 4. Express this using absolute value notation.
Answer:
| x + 4 | = 1/2
Step-by-step explanation:
We want the numbers on the number line that are at a distance of 1/2 from "-4".
We can express such via the absolute value as :
| x - (-4) | = 1/2
| x + 4 | = 1/2
Divide 1,260 by 1.5
Hi
Answer:
840.......Hai
Answer:
1,260÷1.5=840 here is your answer
Solve the system:
x - y = 5
4x – 5 y =17
Answer:
8,3
Step-by-step explanation:
Jonathan, a college business student wants to study how many pages of notes fellow classmates took during a semester for a finance class. Past data reveals that pages of notes for a finance college class has a mean of 95 , with standard deviation 25 pages. He plans to take a random sample of 30 such college students and will calculate the mean pages of notes they take to compare to the known pages of notes students take for a finance college class. For these values, the mean and standard deviation of the sampling distribution of sample means for a sample of size 30 are: μx¯=95 and σx¯=2530√=4.6. What is the probability that the sample mean for a sample of size 30 will be at least 99? You may use a calculator or the portion of the z-table given below.
Using the normal distribution and the central limit theorem, it is found that there is a 0.1913 = 19.13% probability that the sample mean for a sample of size 30 will be at least 99.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].For the population, the mean and the standard deviation are given by, respectively, [tex]\mu = 95[/tex] and [tex]\sigma = 25[/tex].
For a sample of 30, we have that:
[tex]n = 30, s = \frac{25}{\sqrt{30}} = 4.6[/tex]
The probability that the sample mean for a sample of size 30 will be at least 99 is one subtracted by the p-value of Z when X = 99, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{99 - 95}{4.6}[/tex]
[tex]Z = 0.87[/tex]
[tex]Z = 0.87[/tex] has a p-value of 0.8078.
1 - 0.8087 = 0.1913.
0.1913 = 19.13% probability that the sample mean for a sample of size 30 will be at least 99.
More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/24663213
x+y+(y-2)=60,1/2(x)(y-2)=120 what is x and y
Answer:
x = 62
y = 31
Step-by-step explanation:
x+(0)+(0-2)=60
x-2=60
x=62
(0)+y+(y-2)=60
y+y=62
y= 31
What is the slope of the line through the points (2, 8) and (5, 7)?
3
- 1/3
-3
1/3
Answer:
Option B
Step-by-step explanation:
In order to find the answer to this question you need to use the slope formula and solve by subtracting the numerator and the denominator.
[tex]slope=\frac{y^2-y1}{x^2-x^1}[/tex]
[tex]x^1,x^2=(2,5)[/tex]
[tex]y^2,y^1=(8,7)[/tex]
Substitute:
[tex]\frac{8-7}{2-5}[/tex]
Subtract:
[tex]8-7=1[/tex]
[tex]2-5=-3[/tex]
[tex]=\frac{-1}{3}[/tex]
Hope this helps.
Which triangle has vertices (0,0), (-1,4), and (-4,1)?
Answer:
Triangle N
Step-by-step explanation:
Triangle N has the coordinates (0,0), (-1,4), and (-4,1)
Let f (x) represent a function. Which description match the given transformations? Drag and drop the answers into the boxes. f( x - 5/3), f (x) - 5/3. ( Only answer if you know how to please and thank you).
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[tex]f(x - \frac{5}{3} ) \\ [/tex]
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
[tex]f(x) \: \: is \: \: translated \: \: \frac{5}{3} \: \: units \: \: right \\ [/tex]
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_________________________________
[tex]f(x) - \frac{5}{3} \\ [/tex]
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
[tex]f(x) \: \: is \: \: translated \: \: \frac{5}{3} \: \: units \: \: down \\ [/tex]
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Natalie buys a basketball for $25.57 and an air pump for $15.61. How much change will she receive if she pays for both items with a $50 bill?
Answer:
[tex]Change = \$8.82[/tex]
Step-by-step explanation:
Given
[tex]Basketball = \$25.57[/tex]
[tex]Air\ Pump = \$15.61[/tex]
[tex]Amount = \$50[/tex]
Required
Determine the change received
First, we need to calculate the total amount spent
[tex]Total = \$25.57 + \$15.61[/tex]
[tex]Total = \$41.18[/tex]
This implies that Natalie pays a total of $41.18
Next, we calculate the change as thus:
[tex]Change = Amount - Total[/tex]
[tex]Change = \$50 - \$41.18[/tex]
[tex]Change = \$8.82[/tex]
Hence, the change is $8.82
What is the slope of the line that contains the points (1,-1) and (-2,8)
Find the value of X. Geometry Please Help!!!
Answer:
D.5
Step-by-step explanation:
An angle bisector makes both sides of the angle equal (usually). Set the equation to 6x+4=8x-6. Solve for x by subtracting 6x from both sides so you get 4=2x-6. Add 6 to both sides so the equation is now 2x=10 and divide by 2.
2(x – 9) = 10x + 11
Help
Answer:
exact form: -28/8
decimal form: -3.625
mixed number form: -3 5/8
Answer:
x = -3.625
Step-by-step explanation:
A triangle has squares on its three sides as shown below. What is the value of x? (1
point)
6 cm
xom
8 cm
1) 2 centimeters
2) 6 centimeters
3) 8 centimeters
4) 10 centimeters
Answer:
10 since its the longest part of the triangle ig
Step-by-step explanation:
Answer: 10 centimeters
Step-by-step explanation:
Because it's longer than both the other sides so it has to be 10.
f(x)=x^2+12x+35, solve f(x)>0
Step-by-step explanation:
Solve the eq f(x) =0x^2+5x+7x+35=0
x*x+5x+7x+5*7=0
x(x+5)+7(x+5)=0
(x+7)*(x+5)=0
x=-7 or x=-5
Now solve f(x) >0So the function is positive (>0) when
x<-7 and when x>-5
France Under Louis XVI
Could approve taxes Response area Response area
The Estates General
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Characteristics of the First Estate Characteristics of the Second Estate Characteristics of the Third Estate
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Response area Response area Response area
Privileges of the First and Second Estate leave blank Changes wanted by the Third Estate
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New constitutionShare of political powerAristocracyArtisans and workersCalled by Louis for 1789ClergyCould advise kingOne vote per delegateOne vote per estateFood shortagesHigher clergy are noblesLast met in 1614Lesser noblesMet at VersaillesNearly bankruptNot taxedOwned much landPaid taxesPeasantsRich nobles held all high officesDelegates high clergyRich and powerful noblesTax everyoneUnemploymentWealthy middle classNot taxedNot taxedTook part of peasants' production
PreviousReview
Answer:
thx
Step-by-step explanation:
how to know if i have to subtract or add in a point slope form? for example the part where it says (x - 1) how would i know if its (x - 1) or (x + 1) ?????????????
9514 1404 393
Answer:
rules of signs apply
Step-by-step explanation:
The point-slope form of the equation for a line of slope m through point (h, k) is ...
y -k = m(x -h)
If the point coordinates are positive, their values show up in the equation with a minus sign.
Example:
slope 2, point (3, 4)
y -4 = 2(x -3)
__
If a point coordinate is negative, its value shows up in the equation with a plus sign.
Example:
slope 2, point (-3, 4)
y -4 = 2(x -(-3)) . . . . fill in the given value
y -4 = 2(x +3) . . . . . simplify according to sign rules
__
The slope keeps its sign.
Example:
slope -1/2, point (-3, 4)
y -4 = -1/2(x +3) . . . . we only changed the slope from the previous example
Answer:
teehee
Step-by-step explanation:
:)