The function y=2x+6 is shifted down 8 units. What is the equation of the new function?
Answer:
y = 2x -2
Step-by-step explanation:
When you shift down or up, you move down or up the y-axis. Here, the 6 was the y-intercept, so you subtract 8 from 6.
then nth term of a sequence is 10-4n list the first 3 terms
The required first 3 terms of the sequence are 6, 2. -2.
Given that,
Then nth term of a sequence is 10-4n list the first 3 terms is to be determined.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
Nth term = 10 - 4n
For the first term, put n = 1
1 st term = 10 - 4 = 6
For the second term put n = 2
2nd = 10 - 8 = 2
For the third term put n = 3
3rd = 10 - 12 = -2
Thus, the required first 3 terms of the sequence are 6, 2. -2.
Learn more about arithmetic progression here: https://brainly.com/question/20334860
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Confused and I need help please
+Given: AB ≅ AD and AB≅ AD AC≅ BD. Prove △BAE≅△DAE.
Answer:
Step-by-step explanation:
Given:
AB ≅ AD
AC ⊥ BD
To Prove:
ΔBAE ≅ ΔDAE
Statements Reasons
1). AB ≅ AD and AC ⊥ BD 1). Given
2). AE ≅ AE 2). Reflexive property
3). ΔBAE ≅ ΔDAE 3). HL postulate of congruence
Passes through (-6,-1) and is parallel to y=-2/3x+1
Answer:
y=-2/3x-6
Step-by-step explanation:
y=mx+b
m=-2/3
y-y=m(x-x1)
y-(-1)=-2/3(x-(-6))
y+1=-2/3x-4
-1 -1
y=-2/3x-5
Answer:
[tex]y=-\frac{2}{3}x -5[/tex]
Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b\\\\y=(slope)x+(y-intercept)[/tex]
m is the slopeb is the y-interceptx and y are corresponding coordinate points (x,y)When two lines are parallel, their slopes are the same. Take the slope from the given equation and insert into the new:
[tex]y=-\frac{2}{3} x+b[/tex]
Now find the y-intercept. For this, insert the given coordinate points and the slope into the equation to solve for b:
[tex](-6_{x},-1_{y})\\\\-1=-\frac{2}{3} (-6)+b[/tex]
Simplify multiplication using the rule [tex]\frac{a}{b} *c=\frac{ac}{b}[/tex] :
[tex]-1=-\frac{2(-6)}{3} +b\\\\-1=-\frac{-12}{3} +b\\\\-1=\frac{12}{3} +b\\\\-1=4+b[/tex]
Use inverse operations to isolate the variable. Subtract 4 from both sides:
[tex]-1-4=4-4+b\\\\-5=b[/tex]
The y-intercept is -5. Insert:
[tex]y=-\frac{2}{3}x -5[/tex]
:Done
What is the difference between the sum of the measures of the interior angles of a regular hexagon and the sum of the measures of the exterior angles of a regular pentagon
Answer:
180 degrees
Step-by-step explanation:
Let the number of games, `x`, and the number of rides, `y`
For `x+4y=28`, what is the slope of the graph?
-1/4 or -0.24 because you subtract x to get it away from the y ... y = mx + b (this is the forumla you try to get it at) .... then you divide by four and that will leave you with -1/4 ... complete formula answer y = -1/4x + 7
PLS , help me asap :(( , im so frustrated , idk how to do these :c
Answer:
y intercept = 5
Step-by-step explanation:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Answer:
Step-by-step explanation:
i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest
Solving Multi-Step
1. List the steps in order) require
3(z + 5) = 12
I
a)
Answer:
z = -1
Step-by-step explanation:
3(z + 5) = 12
Step 1: Divide both sides by 3.
z + 5 = 4
Step 2: Subtract 5 from both sides.
z = -1
4.5/w = 3
what is the W?
Answer:
w=1.5 or w=13.5
Step-by-step explanation:
this is one answer:
multiply w on both sides to leave u with
4.5=3w
divide both sides by 3
[tex]\frac{4.5}{3}=\frac{3w}{3}[/tex]
1.5=w
_____________________
this is the second one if the first one is wrong:
multiply 4.5 on both sides so that the 4.5/w would leave u with just only w alone.
then 3*4.5=13.5
w=13.5
hope dis helps if not then im not dat smart enough ;?
What is the 100th term of the sequence with a1 = 222 and d = -5
Answer:
-273
Step-by-step explanation:
222- (99*5)
222-495
-273
Answer:
-273
(next time if their is options maybe also try and put them, it would help a lot)
x/6+12=(-12). solve for x
Answer:
x=-144
Step-by-step explanation:
[tex]\frac{x}{6} +12=-12[/tex] subtract 12 on both sides
[tex]\frac{x}{6}=-24[/tex] multiply by six
x=-144
don't guess!! pls help!!
THERE'S 4 IMAGES.
Answer:
pic one is rock cycle, pic 2 crystaline structure, and pic three and 4 are the same pictures as question 2
Step-by-step explanation:
pls help find the inequality represented by the graph
Answer:
use the linear equation of a line
equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
now u do the rest
HELP MY BROTHER NEEDS HELP WITH AN ASSIGNMENT BUT I DO NOT KNOW HOW
Order the values from least to greatest. |–4|, 10, –12, |3| A. |–4|, |3|, 10, –12 B. |3|, |–4|, 10, –12 C. –12, |–4|, |3|, 10 D. –12, |3|, |–4|, 10
The answer is letter C.
Step-by-step explanation:
hope this helps
-12 < -4 < 3 < 10
Answer:
D. –12, |3|, |–4|, 10
Step-by-step explanation:
| - 4|, 10, - 12, |3|
4, 10, - 12, 3
- 12, 3, 4, 10
Please please help! Its due soon!! Ill mark brainliest!!
I need side b, using tangent!! Thank you!!
Answer:
tan 68 degrees = b/60
60 * tan 68 degrees = b
b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths
Step-by-step explanation:
Hope it helps!
Answer:
tan 68 degrees = b/60
60 * tan 68 degrees = b
b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths
. Step-by-step explanation:
Hope it helps!
Mya creates the
table below to
show how much
fruit to put in her
shake. How much
fruit should she
use if she is
making 5 servings?
what does rise over run mean in math?
Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.
Step-by-step explanation:
PlS HELP QUICKLY :One of the roots of the equation x2−bx+c=0 is equal to 5. Find c in terms of b.:
Guys pls help and find what C is equal to.
Answer:First suppose that the roots of the equation
x2−bx+c=0(1)
are real and positive. From the quadratic formula, we see that the roots of (1) are of the form
b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2.
For the root or roots to be real, we require that b2−4c≥0, that is, b2≥4c. In order for them to be positive, we require that
b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0.
This immediately tells us that b>0, but we can go further. We can rearrange this to get
b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,
which (assuming that b>0) is true if and only if
b2>b2−4c,
since both sides of the inequality are positive so we may square. But then
4c>0.
That is, if the roots are real and positive then b>0 and b2≥4c>0.
Now suppose that b>0 and b2≥4c>0.
Then the roots of (1) are real since b2−4c≥0, and b>0 guarantees that the root b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√ is positive.
So it remains to show that b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0. We have that
4c>0,
so that
b2>b2−4c,
then square rooting shows that
b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,
so the roots of (1) are real and positive, as required.
Approach 2
the curve y equals x squared minus b x plus c showing two positive roots for y equals zero
This is intended to be a proof without words! We have from the diagram that:
If c, b and b2−4c are all positive, there are two real positive roots for x2−bx+c=0 (if b2=4c, we have two real positive equal roots).
If there are two real positive roots for x2−bx+c=0, then c and b are positive and b2−4c is non-negative.
(Why is the distance between the roots b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√?)
Approach 3
When solving problems about the roots of polynomials, it is often useful to find expressions those roots must satisfy and see if this tells us anything new. If α and β denote the roots of the equation, then
x2−bx+c=(x−α)(x−β)=x2−(α+β)x+αβ
and so α+β=b and αβ=c.
We also know that the roots of a quadratic equation are real if and only if the discriminant is non-negative, that is, if and only if b2−4c≥0.
Using these facts, if α and β are both real and positive, then b=α+β>0, c=αβ>0 and b2≥4c, as above.
Conversely, if b>0 and b2≥4c>0, then we know the discriminant is positive and hence both roots are real. We also have that
αβ>0(2)
and
α+β>0.(3)
As α and β are both real, by (2), we know that α and β are either both positive or both negative. However, if α and β were both negative, then (3) could not possibly hold. Hence α and β are both positive, as required.
We now sketch on a graph the region where b>0, c>0 and b2≥4c:
The curve b squared = 4 c as a quadratic with the c-axis vertical and the b-axis horizontal. The region below it is shaded.
The region of the b-c plane for which b>0, c>0 and b2≥4c
Sketch the region of the b-c plane in which the roots of the equation are real and less than 1 in magnitude.
We know that in order for the roots to be real we need b2≥4c as in the first part. We now need to find the region where
−1<b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.(4)
We have b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2≤b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2 so we only need to consider the values for which both
−1<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2andb+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.
Firstly, we will consider the values for which
b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2.
Rearranging gives
b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2−b.
So b<2, as the square root is non-negative, and we can square both sides to get
b2−4c<4−4b+b2,
which we may rearrange to find c>b−1.
We will now consider the values for which
−2<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√.
Similarly, we can rearrange to get
b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<b+2.
So b>−2, and we can, as before, square to get
b2−4c<b2+4b+4,
and hence c>−b−1.
To sketch the graph, we start by considering the boundary curves b2=4c, c=b−1 and c=−b−1, and the points at which they intersect. We can see that the two lines only intersect when b=0 and c=−1, and the lines intersect the curve when
b2=4b−4andb2=−4b−4
which rearrange to
(b−2)2=0and(b+2)2=0.
This tells us that each line intersects with the curve in only one place and so these lines must be tangent.
Is there a way we could have deduced this directly from (4)?
What do the lines being tangent signify in terms of our equation x2−bx+c=0?
Is this a representation of a well-known property of these equations?
Sketching the graph then yields the following picture:
The graph with the previous curve and the lines 4 c = 4 b minus 4 and 4 c = minus 4 b - 4. Each line touches the curve once and the two lines intersect at (0, minus 1). The region between the three lines/curves is shaded.
The shaded region is where b2≥4c, c>b−1, c>−b−1 and −2<b<2
We might notice that when we derived the inequalities c>b−1 and c>−b−1, a lot of the work we did was very similar.
We might also notice that the graph above is symmetric about the c axis. Why is this?
Does the graph give us any ideas about how we might deduce one inequality from the other?
Step-by-step explanation:
Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?
0.6 meters per minute
1.67 meters per minute
600 meters per minute
6,000 meters per minute
Answer:
6,000 meters per minute
Step-by-step explanation:
Answer:
D. 6,000 meters per minute
Step-by-step explanation:
It's right on edg 2020
hope it helps (;
Have a good day and good luck !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Please help !!! I don't understand
Answer:
P=160+6x
Q=x+40
H=4x-5
P+Q+H=180...P=61.82
Riding an elevator down 3 floors
Answer:
And, then what? rp?
Step-by-step explanation:
Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.
Question 2
The cell membrane controls what enters and exits the cell to maintain
A.energy
B. Photosynthesis
C.respiration
D.homeostasis
On a recent day eight-year-olds were worth $11 and €32 where where is $44. Enter an equation of the Fort on a recent day eight euros worth $11 and €32 were where is $44. Enter an equation of the form Y equals KX to show the relationship between the number of euros and the value in dollars. Let why is a value in dollars and XB the number of euros
Answer:
sry
Step-by-step explanation:
i am new to this
174 i think
Answer:
174
Step-by-step explanation:
10x f ( 7 ) + 9 x g(-1) =
Answer:
what are you trying to look for the variables or answer?
Step-by-step explanation:
If 7^9/7^n = 7^3, then n is___.
12
01
-3
3
Answer: 6, but it isn't in your answer choices
Step-by-step explanation: When dividing exponents with the same base, subtract the bottom exponent from the top. In this case, you get 3 from subtracting n from 9, so n should be 6
Terry has $5.79 to go shopping Which mixed number below is the fraction equivalent to $5.79? 500 a 5 79/100 b. 5 79/1000 57 9/100 d 57 9/10
Answer:
579/100 is the same if u turned it into a decimal it would be 5.79
Step-by-step explanation:
you would do 579 divided by 100 and that will give you 5.79
Answer:
the answer is 579/100
Step-by-step explanation:
Help I mark brainliest
Answer:
[tex]-\frac{1}{5} t^{15}[/tex]
Step-by-step explanation:
sry if im wrong
Tell me a fun fact about horses will give BRAINLIEST to whoever tells me something I don’t know (I have been riding for 12 years) so I know a lot of things (also don’t tell me they can sleep standing up I already know that it’s kinda obvious)
Here are a few fun facts:
A 19th century horse named 'Old Billy' is said to have lived 62 years.
Horses can sleep both lying down and standing up.
Horses can run shortly after birth.
Horses have around 205 bones in their skeleton.
Horses have been domesticated for over 5000 years.
Horses use their ears, eyes and nostrils to express their mood.
Because horse’s eyes are on the side of their head they are capable of seeing nearly 360 degrees at one time.
The fastest recorded sprinting speed of a horse was 88 kph (55 mph). Most gallop at around 44 kph or 27 mph.
The Przewalski’s horse is the only truly wild horse species still in existence. The only wild population is in Mongolia. There are however numerous populations across the world of feral horses e.g. mustangs in North America.
I hope you learned something new!
Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week
Answer:
if it how long it will it take to pay her friend back its 135 weeks
Step-by-step explanation: