Answer:
y = -1/4x -2
Step-by-step explanation:
We can use the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = -1/4x +b
Substitute the point into the equation
-3 = -1/4(4) +b
-3 = -1 +b
Add 1 to each side
-3 +1 = -1 +1 b
-2 =b
y = -1/4x -2
What algebraic expression must be added to the sum of 3x2 +4x+8 and 2x2−6x+3 to give 9x2−2x−5 as the result?
4x² - 16 is the algebraic expression that must be added to get the result as 9x²- 2x - 5.
Step-by-step explanation:
The question is asked for the algebraic expression must be added to the sum of 3x²+4x+8 and 2x2−6x+3 to give 9x²- 2x - 5 as the result.
Therefore,
The first step is to find of sum of 3x²+4x+8 and 2x²-6x+3.
To find the sum :
3x²+4x+8
2x²-6x+3
5x²-2x+11
The sum is 5x²-2x+11.
Now, the second step is to subtract 5x²-2x+11 from the result 9x²- 2x - 5.
9x²- 2x - 5
- (5x²-2x+11)
4x² -16
Thus, 4x²-16 is the algebraic expression that must be added with 5x²-2x+11 to get a result of 9x²- 2x - 5.
Identify the graph of 4y^(2)+12x^(2)=24 for T(-1,4) and write an equation of the translated or rotated graph in general form.
Answer:
b. ellipse; 3x^2 + y^2 + 6x - 8y + 13 = 0
Step-by-step explanation:
thats the answer on edg :)
The point T(-1,4) lies on the ellipse on the graph.
The equation of the ellipse in general form is:
(x/√2)² + (y/√6)² = 1
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The given equation, 4y² + 12x² = 24, can be simplified by dividing both sides by 24 to get:
y²/6 + x²/2 = 1
This is the equation of an ellipse centered at the origin, with a horizontal major axis of length 2√6 and a vertical minor axis of length 2√2.
To identify the graph of the ellipse passing through T(-1,4), we substitute x = -1 and y = 4 in the equation and simplify:
4(4)² + 12(-1)² = 24
64 - 12 = 52
Thus, point T(-1,4) lies on the ellipse.
To find the equation of the translated or rotated ellipse in general form, we can use standard transformations.
Let (h,k) be the center of the ellipse.
Then we have:
(x-h)²/a² + (y-k)²/b² = 1
where a and b are the lengths of the semi-major and semi-minor axes, respectively.
The center of the given ellipse is (0,0), so h = 0 and k = 0.
To determine the values of a and b, we note that a^(2) is the coefficient of x² in the equation, and b² is the coefficient of y².
Thus, we have:
a² = 2 and b² = 6
Taking square roots, we get:
a = √2 and b = √6
Therefore,
The equation of the ellipse in general form is:
(x/√2)² + (y/√6)² = 1
This is the equation of an ellipse with a horizontal major axis of length 2√2 and a vertical minor axis of length 2√6, centered at the origin and rotated counterclockwise by an angle of θ such that tan(2θ) = 4/3.
Learn more about equations here:
https://brainly.com/question/17194269
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Alex made $400 last year mowing lawns. If he has to pay 20% income tax, how much tax will he have to pay?
Answer:
Alex will have to pay $80 income tax.
Answer: 80 dollars
Step-by-step explanation: 20% of 400 is 80
There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at
this store have increased at a rate of 3.75% per month. At this rate of growth, which function can
be used to determine the monthly cell phone sales x months after January?
f(x) = 417(1.375)*
f(x) = 417(3.75)
f(x) = 417(0.0375)*
Answer:
[tex]f(x)=417(1.0375)^{x}[/tex]
Step-by-step explanation:
This question is not complete; please find the question attached.
Sales of cell phones at the store is growing at the rate of 3.75% per month which reveals that the monthly sales of cell phone is growing exponentially.
Sales per month will be represented by the growth function,
[tex]f(x)=A(1+\frac{r}{100})^{x}[/tex]
Where f(x) = Monthly sales
A = Sales in the first month
r = rate of increase in the sales
x = Duration or time
Fro the given question,
A = 417, r = 3.75
So the function showing the monthly sales will be,
[tex]f(x)=417(1+\frac{3.75}{100})^{x}[/tex]
[tex]f(x)=417(1.0375)^{x}[/tex]
What effect will introducing a constant have on an exponential function?
Answer:
exponential function is power
Step-by-step explanation:
because constantly have an exponential function
thanku
Introducing a constant to an exponential function will shift the graph of the function either vertically or horizontally, depending on how the constant is applied.
An exponential function typically has the form [tex]\( f(x) = a \cdot b^x \)[/tex], where [tex]\( a \)[/tex] is the initial value (the value of the function at [tex]\( x = 0 \))[/tex], and [tex]\( b \)[/tex] is the base of the exponential function (the rate at which the function grows or decays).
When a constant is introduced, there are two primary ways it can affect the function:
1. *Vertical Shift*: If the constant is added to or subtracted from the exponential function, it will result in a vertical shift of the graph. For example, if we have a function [tex]\( g(x) = a \cdot b^x + c \)[/tex], where [tex]\( c \)[/tex] is a constant, the graph of [tex]\( g(x) \)[/tex] will be the graph of [tex]\( f(x) = a \cdot b^x \)[/tex] shifted up by c units if [tex]\( c \)[/tex] is positive, or down by [tex]\( c \)[/tex] units if [tex]\( c \)[/tex] is negative.
2. *Horizontal Shift*: If the constant is introduced as an exponent, it will result in a horizontal shift of the graph. For example, if we have a function [tex]\( h(x) = a \cdot b^{(x - d)} \),[/tex] where [tex]\( d \)[/tex] is a constant, the graph of [tex]\( h(x) \)[/tex] will be the graph of [tex]\( f(x) = a \cdot b^x \)[/tex] shifted to the right by [tex]\( d \)[/tex] units if [tex]\( d \)[/tex] is positive, or to the left by [tex]\( d \)[/tex] units if [tex]\( d \)[/tex] is negative.
It's important to note that the type of shift (vertical or horizontal) depends on the location of the constant in the function. A constant added to or subtracted from the function's value will cause a vertical shift, while a constant added to or subtracted from the input variable [tex]\( x \)[/tex] (in the exponent) will cause a horizontal shift.
In summary, the introduction of a constant to an exponential function will not change the fundamental nature of the exponential growth or decay, but it will translate the graph of the function either up/down or left/right, depending on how the constant is incorporated into the function.
Terri, CeCe, and Jake can pack 176 orders per day. Terri and
CeCe together can pack 116 orders per day while CeCe and Jake
together can pack 122 orders in one day. How many orders can
each of them pack alone in one day?
Terri can pack 54 orders, CeCe can pack 62 orders, and Jake can pack 60 orders alone in one day.
Explanation:Let's assign variables to represent the number of orders each person can pack per day:
Terri: T
CeCe: C
Jake: J
From the given information, we can set up the following equations:
Simplify the equation: J = 60
Solve for T: T = 54
Therefore, Terri can pack 54 orders, CeCe can pack 62 orders, and Jake can pack 60 orders alone in one day.
please help me !!!!
Answer:
-9/20
-0.4444444...
[tex]\sqrt{11}[/tex]
3.41
Step-by-step explanation:
Do the negative ones first then the positive ones
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle. Show all your work.
Answer:
x=40
Step-by-step explanation:
What the problem is telling you is that the unlabeled angle is the same as the 70 degree angle. Since all the angles of a triangle add up to 180 degrees. First take 70+70, which equals 140. Now take the 180-140=40 ,so 40 would be the missing angle.
Final answer:
In an isosceles triangle, the angles opposite the congruent sides are congruent. To find the value of x in the triangle, we can set up an equation using the fact that the sum of the angles in a triangle is always 180 degrees. Simplifying the equation, we can find a value for x.
Explanation:
In an isosceles triangle, the angles opposite the congruent sides are congruent. Let's assume that the value of the unknown angle is x.
Since the triangle is isosceles, the other two angles are congruent. Let's call them a and a.
The sum of the angles in a triangle is always 180 degrees. Therefore, we can write the equation: x + a + a = 180.
Simplifying the equation, we get: 2a + x = 180.
Since the other two angles are congruent, we can say that: 2a = 180 - x.
Dividing both sides of the equation by 2, we find: a = (180 - x)/2.
Therefore, the value of x in the triangle is (180 - a)/2.
What polygon has 6 sides and 6 angles?
Answer:
hexagon
Step-by-step explanation:
34.000÷99 decimal equivalent
Answer:
.34343434343
Step-by-step explanation:
Matrix tossed three coins .What is the probability that all three coins will land on the same side
Answer:
1/4 hope this helped :)
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
There are 2 sides to each coin. So there are 6 sides to three coins. So the probability that they all land on the same side is 1/6.
Note:
Hope this helps! Hope you do well on your quiz/test! Please follow me on twitch at Ignoramous_
Find the volume of the pyramid below.
Enter your answer as a number with no units.
. A car of mass 100 Kg moving at 10 m/s collides with a truck of mass 1000 Kg moving at 5 m/s from behind. What will happen to the motion if the two objects get tangled after collision? This type of collision is called “inelastic” collision.
9514 1404 393
Answer:
the joined objects will have a speed of 5 5/11 m/s
Step-by-step explanation:
The momentum will be the same before and after the collision.
Before
(100 kg)(10 m/s) = 1000 kg·m/s . . . car's momentum
(1000 kg)(5 m/s) = 5000 kg·m/s . . . truck's momentum
Since the velocities are in the same direction, the total momentum is the sum of these:
1000 +5000 = 6000 . . . kg·m/s
__
After
The momentum is the same, and the total mass is 100 kg+1000 kg = 1100 kg. Then the velocity (v) is ...
(1100 kg)(v) = 6000 kg·m/s
v = 6000/1100 m/s = 5 5/11 m/s
The collision will cause the tangled objects to continue moving forward, but at a speed of 5 5/11 m/s.
at a math convention nora sold 13 rulers for $110.50 at the same price how much would 7 rulers cost?
Answer:
$59.50
Step-by-step explanation:
You need to find the price of 1 ruler.
[tex]\frac{110.50}{13}=$8.50[/tex]
Now you need to multiply the price of one, by 7 to find the answer.
[tex]8.5*7=59.5[/tex]
Have a nice day. Please mark brainliest!
Help look at picture!
Answer:
Step 1: Set x to 0
[tex]-2(0) + y = 3[/tex]
[tex]y = 3[/tex]
(0, 3)
Step 2: Set x to 1
[tex]-2(1) + y = 3[/tex]
[tex]-2 + y + 2 = 3 + 2[/tex]
[tex]y = 5[/tex]
(1, 5)
Step 3: Set x to 2
[tex]-2(2) + y = 3[/tex]
[tex]-4 + y + 4 = 3 + 4[/tex]
[tex]y = 7[/tex]
(2, 7)
Step 4: Set x to 3
[tex]-2(3) + y = 3[/tex]
[tex]-6 + y + 6 = 3 + 6[/tex]
[tex]y = 9[/tex]
(3, 9)
Step 1: Set x to 0
-2(0) + y = 3
y = 3
(0, 3)
Step 2: Set x to 1
-2(1) + y = 3
-2 + y + 2 = 3 + 2
y = 5
(1, 5)
Step 3: Set x to 2
-2(2) + y = 3
-4 + y + 4 = 3 + 4
y = 7
(2, 7)
Step 4: Set x to 3
-2(3) + y = 3
-6 + y + 6 = 3 + 6
y = 9
(3, 9)
Hope this helped you a lot !!!!!!!14x − 5 − 8x = 1 A) 0 B) 1 C) 3 D) 5
The price of an item has risen to $91 today. Yesterday it was $65. Find the percentage increase.
Answer: 28.6%
Step-by-step explanation:
Price yesterday was $65
Price today is $91
To get the increase
You subtract yesterday price from today price
Increase= $91-$65
Increase = $26
To get the percentage increase,
= increase/new price ×100
=26/91×100
=28.6%
Percentage increase = 28.6%
the histogram shows informstion about how 550 peopel travel to work
Answer:
1) 100 ) 15
Step-by-step explanation:
1) 30 to 50 is 20 miles so 5 * 20 is 100
2)20 to 50 is 30 miles so its 150 and 15 to 20 is 5 so 11 *5 is 55
55+150 equals 250 so the answer is 15 miles.
The bars of an histogram represent the frequency of the histogram.
100 people travel more than 30 miles to work.
The complete question required that the number of people that travel more than 30 miles to work, is calculated
From the histogram, the frequency density of those that are in this category is:
[tex]\mathbf{Frequency\ Density = 5 + 5 + 5 + 5}[/tex]
[tex]\mathbf{Frequency\ Density = 20}[/tex]
1 unit on the histogram, represents 5 people.
So, the actual frequency is:
[tex]\mathbf{Frequency= 20 \times 5}[/tex]
[tex]\mathbf{Frequency= 100}[/tex]
Hence, 100 people travel more than 30 miles to work.
Read more about histograms at:
https://brainly.com/question/17145899
A baseball player's batting average is found by dividing the number of hits by the number of at-bats and rounding the result to the nearest thousandth. If James had 55 hits and 138 at bats, what was his batting average?
Answer:
The answer is 0.399.
Step-by-step explanation:
The formula would be hits/at-bats. Hits = 55, and at-bats = 138. Rounded to the nearest thousandth, 55/138 is 0.399.
Matt and Kelly both purchased the same type mulch to be used in a garden. They both spent exactly $60 each on mulch. • Matt purchased loose mulch in which a truck dumped it in his driveway as shown in the picture. • Kelly purchased 16 bags of mulch and each bag contains 3 cubic feet of mulch. Which person got the got a better deal for the money spent? (i.e. Who got the most mulch?)
Question 13 options:
A.) Matt got the better deal.
B.)Kelly got the better deal.
C.)They both got the same amount.
D.)There is not enough information to determine who got the better deal.
For the same amount of money, the volume of kelly's mulch is more than the volume of Matt's mulch which means Kelly got a better deal. Then the correct option is B.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Matt and Kelly both purchased the same type of mulch to be used in a garden.
They both spent exactly $60 each on mulch.
• Matt purchased loose mulch in which a truck dumped it in his driveway as shown in the picture in the shape of a cone of a radius of 3.5 ft and a height of 3 ft.
[tex]\rm Volume \ of \ Matt's \ mulch = \dfrac{1}{3} * \pi \ r^2 h\\\\Volume \ of \ Matt's \ mulch = \dfrac{1}{3}* \pi * 3.5^2 * 3\\\\Volume \ of \ Matt's \ mulch = 38.485 \ ft^3[/tex]
• Kelly purchased 16 bags of mulch and each bag contains 3 cubic feet of mulch.
[tex]\rm Volume \ of \ Kelly's \ mulch = (number \ of \ bag \ )*(each\ bag\ contains\ 3\ ft^3)\\\\Volume \ of \ Kelly's \ mulch = 16* 3 \\\\Volume \ of \ Kelly's \ mulch =48\ ft^3[/tex]
Thus, for the same amount of money, the volume of kelly's mulch is more than the volume of Matt's mulch which means Kelly got a better deal. Then the correct option is B.
More about the geometry link is given below.
https://brainly.com/question/7558603
Find the solution of 3.75x +15 = 63.75
Answer:
The answer is x = 13.
Step-by-step explanation:
first, move the constant to the right and change its sign, (+15)
3.75 x = 63.75 -15
next, subtract the numbers, (65.75 -15)
3.75x = 48.75
then, divide both sides of the equation by 3.75,
final answer, x = 13
Answer:
x = 13
Step-by-step explanation:
to solve this just simply collect the like terms and divide both sides by the coefficient of x
solution
3.75x +15 = 63.75
3.75x = 63.75 -15
3.75x = 48.75
divide both sides by the coefficient of x which is 3.75
3.75x/3.75 = 48.75/3.75
x = 13
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d-eidesihfesoifhdsiufheiugfusdvfuosdgOSUGfsoufgeoygfwy
Answer:igudysyxxhxf
Step-by-step explanation:udyx7d
Well I would say for a math equation there are definitely way to many variables here to solve for, Ummm however it seems as though you are really good at banging on your keyboard and for that I applaud you
1.) Claudia and her cousin Brian often ride their
bikes to meet each other. They live 16 miles
apart. Claudia can bike at a speed of 8.5 mph,
and Brian can ride 11mph. If they leave their
homes at the same time and bike toward each
other for half an hour, will they meet?
Answer:
No, they will not meet.
Step-by-step explanation:
For them to meet, their combined distance covered must be equal to or greater than 16 miles
Given;
Claudia can bike at a speed of 8.5 mph
and Brian can ride 11mph
Time = 0.5 hour
Distance = speed × time
Total distance covered by both is;
d = (8.5+11)×0.5 = 9.75miles
Since, the combined distance is less than 16.
d = 9.75 < 16
They will not meet.
Answer: They do not meet.
Step-by-step explanation:
The distance between Claudia's house and her cousin Brian's house is 16 miles.
Claudia's speed is 8.5 miles per hour.
Brian's speed is 11 miles per hour.
If the part from their houses and travel for 0.5 hours, we have that the distance traveled by Claudia is equal to her velocity times the time she is biking, this is:
C = 8.5*0.5 = 4.25 miles.
So Claudia moves 4.25 miles towards Brian's house in this time, this means that Brian needs to move 16 miles - 4.25 miles = 11.75 miles.
Now, the distance that Brian moves is equal to his velocity times the time:
B = 11*0.5 = 5.5 miles
This is smaller than 11.75 miles, so they do not meet if they only bike for half an hour.
What is 2h+3 when h=6
Answer:
15
Step-by-step explanation:
After plugging in the 6, multiply 2 and 6 and then add 3. This equals 15.
Answer:
15
Step-by-step explanation:
2h+3 where h=6 (plug in 6 for h)
2(6)+3= (Multiply)
12+3= (Add)
15
A student says that if 5x2 = 20, then x must be
equal to 2. Do you agree or disagree with the
student? Justify your answer.
Sample answer:
I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.
Find the distance between the two points rounding to the nearest tenth if necessary (-1,4) and (4,-8)
Answer:
13 units
Step-by-step explanation:
[tex]\sqrt{(4--1)^{2}+(-8-4)^{2} }[/tex]
=[tex]\sqrt{5^{2}+(-12)^{2} }[/tex]
=[tex]\sqrt{25 + 144}[/tex]
=[tex]\sqrt{169}[/tex]
=13 units
Final answer:
To find the distance between the two points (-1,4) and (4,-8) using the Pythagorean Theorem, the distance is 13 units.
Explanation:
Use the Pythagorean Theorem to find the distance squared:
Given points (-1,4) and (4,-8):
d² = (4 - (-1))²+(-8 - 4)²
d² = 5² + (-12)² = 25 + 144 = 169
Calculate the distance:
d = √169 = 13
which graph represent an odd function?
Answer:
The top one
Step-by-step explanation:
Hope it helps!
Answer:
option B
Step-by-step explanation:
What is 3-4+11+21-3? Best explained answer gets Brainliest!!!! Good luck :)
Answer:
See below
Step-by-step explanation:
Let's take it part by part:
(3-4)+(11+21)-3
-1+(32)-3
-4+32
28
3-4=-1+11=10+21=31-3=28
What is true of the data in the dot plot? Check all that apply.
Number of Minutes for Each Commercial Break
A dot plot going from 1 to 5. 1 has 3 dots, 2 has 0 dots, 3 has 8 dots, 4 has 0 dots, and 5 has 3 dots.
The center is 3.
The peak is 5.
There are no gaps.
It is symmetric.
It is skewed right.
The spread is from 1 to 5.
There were 14 commercial breaks.
Answer:
A,D,F,G
Step-by-step explanation:
I REALLY NEED HELP! Find the measure of each angle in triangle ABC.
7x + (7x + 1) + (8x + 3) = 180
What is the value of x?
x =
What is the measure of angle A?
m∠A = °
What is the measure of angle B?
m∠B = °
What is the measure of angle C?
m∠C = °
PICTURES HELP A LOT
Answer:
x=8
m<A=67
m<B=56
m<C=57
Step-by-step explanation:
Answer:
x=8
m<a=67
m<b=56
m<c=57
Step-by-step explanation: