Answers
For the y value, if you are adding a number to the y coordinate, you are moving it up, whereas when you subtract a number, you are moving it down that amount.
Related Questions
Solve the inequality 0>-3×-2×.
Answers
[tex]0\ \textgreater \ - 3^{x} - 2^{x}[/tex]
2) transpose terms:
[tex]3^x \ \textgreater \ - 2^x[/tex]
3) Solution:
The inequality is true for any value of x because 3^x is always positive and - 2^x is always negative.
Answer: x ∈ R
Which equation represents a line that passes through two points in the table
Answers
Nothing much to do here except examine each equation and plug in the numbers to see if it's true.
a. y + 3 = 3/2(x+3)
Try 3,3
3 + 3 = 3/2(3+3)
6 = 3/2(6). And no need to go further, it's obviously not equal.
b. y - 3 = 3/2(x-3)
Try 3,3
3 - 3 = 3/2(3-3)
0 = 3/2(0). OK. Let's try 6,5
5 - 3 = 3/2(6-3)
2 = 3/2(3)
2 = 9/2 And it's not true, so check the next one.
c. y - 3 = 2/3(x-3)
Try 3,3
3 - 3 = 2/3(3-3)
0 = 0. Check 6,5
5 - 3 = 2/3(6-3)
2 = 2/3(3)
2 = 2. Good. Both sample points work. This is the correct answer.
Just to be sure, let's check the next option
d. y + 3 = 2/3(x+3)
Try 3,3
3 + 3 = 2/3(3+3)
6 = 2/3(6). And doesn't match.
Answer: C
Step-by-step explanation: A P E X
What is the product of the roots of the equation x^3-4x^2+x+6=0?
Answers
ABC = -r where the equation is written as x^3 + px^2 + qx + r
comparing this to the equation in question:- - r = -6
Answer is -6.
The product of the roots of the equation x³ - 4x² + x + 6 = 0 will be - 6.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ x³ - 4x² + x + 6 = 0
Now,
We know that;
If u, v, w are the roots of the equation ax³ + bx² + cx + d = 0
Then, The product of roots (uvw) = - d / a
Here, The equation is,
⇒ x³ - 4x² + x + 6 = 0
Let the three roots of the equation = a, b, c
Then, We get;
⇒ a × b × c = (-6) / 1
⇒ abc = - 6
Thus, The product of the roots of the equation x³ - 4x² + x + 6 = 0
will be - 6.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
1) Divide using synthetic division, and write a summary statement in fraction form.
two x to the fifth minus x to the fourth plus three x squared minus x plus five divided by quantity x minus one
a. 2x4 + x3 + 4x2 + 3x + eight divided by quantity x minus one
b. 2x4 + x3 - x2 + 2x + 1 + six divided by quantity x minus one
c. 2x4 + x3 + x2 + 4x + 3 + eight divided by quantity x minus one
d. 2x4 - 3x3 + x + six divided by quantity x minus one
2) Divide f(x) by d(x), and write a summary statement in the form indicated.
f(x) = x4 - 4x3 + 2x2 - 4x + 1; d(x) = x2 + 1
a. f(x) = (x2 + 1)( x2 + 4x + 1)
b. f(x) = (x2 + 1)( x2 - 4x + 1) + 12x + 3
c. f(x) = (x2 + 1)( x2 + 4x + 1) + 12x + 3
d. f(x) = (x2 + 1)( x2 - 4x + 1)
3) Find the remainder when f(x) is divided by (x - k).
f(x) = 3x3 - 4x2 - 3x + 14; k= 3
a. 50
b. 68
c. -12
d. 112
4) Use synthetic division to determine whether the number k is an upper or lower bound (as specified) for the real zeros of the function f.
k = -1; f(x) = 4x3 - 2x2 + 2x + 4; Lower bound?
a. yes
b. no
5) Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18
Answers
Refer to the first picture below
The synthetic division works by writing the coefficient only of the polynomials in question in order of the degree of the polynomials.
Our polynomial expression is given: 2x⁵ - x⁴ + 3x² - x + 5
The coefficient in order are 2, -1, 3, 0, -1, 5
The value '0' in the list is for the polynomial x²
Then divide these coefficients by 1 ⇒ you get this value by x - 1 = 0, x = 1
The rest of the step is explained in the picture.
We have an answer [tex]2x^+x^3+x^2+4x+3+ \frac{8}{x+1} [/tex] ⇒ The last term in fraction form is the remainder
Answer: Option C
----------------------------------------------------------------------------------------------------------------
Question 2
We can use the usual way of Algebraic division as shown in picture 2 below
We have no remainder, so the answer to the question is given in the form of factors ⇒ (x² + 1)(x² - 4x + 1)
Answer: Option D
-----------------------------------------------------------------------------------------------------------------
Question 3
We are given the remainder to be k = 3 when we divide f(x) by (x - k)
So, f(3) = 3(3)³ - 4(3)² - 3(3) + 14 = 50
Answer: Option A
-------------------------------------------------------------------------------------------------------------
Question 4
k is upper bound when f(x) is divided by (x - k) where k > 0 using the synthetic division and the answer gives all positive numbers
k is lower bound when f(x) is divided by (x - k) where k < 0 using the synthetic division and the answer gives an alternating sign
Refer to picture 3 below, the values of the answer have alternating signs (+) then (-) then (+) then (-) again. This means k = -1 is a lower bound
Answer: YES
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Question 5
Focus on the coefficient of the leading term which is -2x⁴ and the last term, 18.
Factors of -2 is 1, -1, 2, -2 ⇒ Let's call this group as 'p'
Factors of 18 is 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18 ⇒ This is group 'q'
Possible values for p ÷ q are
1, -1, 0.5, -0.5, 2, -2, 1.5, -1.5, 6, -6, 3, -3, 9, -9, 4.5, -4.5, 18, -18 ⇒ These are the list for possible roots.
HELP ASAP 30 POINTS GIVEN
The coordinates of the vertices of quadrilateral JKLM are J(−3, 2), K(4, −1), L(2, −5), and(−5, −2). Drag and drop the choices into each box to correctly complete the sentences.
Answers
The slope of LK is 2
The slope of ML is -3/7
The slope of MJ is 2
Quadrilateral JKLM is a parallelogram because both pairs of opposite sides are parallel. YOU'RE WELCOME :D
Answer:
[tex]-\frac{3}{7}[/tex],[tex]2[/tex],[tex]-\frac{3}{7}[/tex],[tex]2[/tex],is,both pairs of opposite sides are parallel
Step-by-step explanation:
Given two points
[tex]A=(a1,a2)[/tex] and
[tex]B=(b1,b2)[/tex]
We define the slope ''m'' between this points as :
[tex]m=\frac{b2-a2}{b1-a1}[/tex] or either
[tex]m=\frac{a2-b2}{a1-b1}[/tex]
The slope between the points J and K is
[tex]m=\frac{-1-2}{4-(-3)}=-\frac{3}{7}[/tex]
The slope between the points L and K is
[tex]m=\frac{-1-(-5)}{4-2}=2[/tex]
The slope between the points M and L is
[tex]m=\frac{-2-(-5)}{-5-2}=-\frac{3}{7}[/tex]
The slope between the points M and J is
[tex]m=\frac{-2-2}{-5-(-3)}=2[/tex]
We find all the slopes between the points.
For the quadrilateral JKLM the side JK is opposite to the side ML and the side KL is opposite to the side JM
The definition of parallelogram is :
A figure with 4 sides in which their opposite sides are parallel.
The side JK is parallel to the side ML because they have the same slope.
The side JM is parallel to the side KL because they have the same slope.
We answer that JKLM is a parallelogram because both pairs of opposite sides are parallel.
Juan's income y consists of at least $37,500 salary plus 5% commission on all of his sales x. which inequality represents juan's income in one year? answer
Answers
Answer:
y < 37,500 + 5x I believe.
Rochelle is riding a bicycle whose wheels are 26 inches in diameter
Answers
Which shows the best path to find the number of centimeters in 1 yard?
Answers
To find the number of centimeters in 1 yard, convert yards to feet, then feet to inches, and finally, inches to centimeters. 1 yard is equal to 91.44 centimeters after applying the conversion factors 1 yard = 3 feet, 1 foot = 12 inches, and 1 inch = 2.54 centimeters.
To find the number of centimeters in 1 yard, we need to follow a two-step conversion process. First, we convert yards to feet, knowing that 1 yard equals 3 feet. Then, we convert feet to inches, since we know that 1 foot equals 12 inches. Finally, we convert inches to centimeters, using the conversion factor that 1 inch is equivalent to 2.54 centimeters.
So the path would look like this:
Convert yards to feet: 1 yard = 3 feet.
Convert feet to inches: 1 foot = 12 inches.
Convert inches to centimeters: 1 inch = 2.54 centimeters.
Applying these conversions to 1 yard:
1 yard * 3 feet/yard = 3 feet
3 feet * 12 inches/foot = 36 inches
36 inches * 2.54 centimeters/inch = 91.44 centimeters
Therefore, 1 yard is equivalent to 91.44 centimeters.
What is the square root of 500 divided by 2 x pi?
Answers
35.124, so rounded it is just 35.124
You flip a coin 5 times. in how many ways could u obtain at least one tail
Answers
- Flip 1 can either be heads or tails
- Flip 2 can either be heads or tails
So our possible outcomes are HH, HT, TH, and TT. There are two possible second flips for each of the possible first flips, or 2 x 2 = 4 total combinations of flips. Notice that only one of those combinations has zero tails - the combination with all heads.
If we were to flip a coin 5 times, we'd have two possible fifth flips for each of the two possible fourth flips for each of the two possible third flips for... it gets pretty hairy to describe in words, but I've attached a diagram so you can see how quickly it grows out of control. There are 2 x 2 x 2 x 2 x 2 or [tex]2^5=32[/tex] possible combinations of heads and tails! But, in fact, we don't even need to sort through these 32 combinations to answer our question. Every combination will contain at least one tail, except one: the combination which contains all heads (HHHHH). Which means the rest of the 31 must contain at least one tail.
This fact will stay the same regardless of the number of coin flips you make: the number of ways that contain at least one tail will always be the total number of combinations minus one (the case where all of the flips are heads).
PLEASE ANSWER IMMEDIATELY
Given the function f(x) = x^2 - 9, classify the polynomial.
A. monomial
B. trinomial
C. binomial
Answers
Hope this helps!! Let me know if you have ANY questions
Binomial
An interior decorator bought 12 1/2 yards of material to make drapes. He used 8 2/3 yards on one pair of drapes. How much material does he have left?
Answers
12 1/2 - 8 2/3
Next would be to change the mixed fractions to improper fractions.
25/2 - 26/3
Now, we need to find a common denomintor, since we can't just subtract like it is now. The Lowest Common Denominator would be 6 because 2*3 = 6. So we need to multiply the numerator and the denominator of both fractions, so that they will have the same denominator.
3( 25/2 ) - 2( 26/3 )
75/6 - 52/6
Now we just subtract the numerators and leave that new answer over the same denominator.
75/6 - 52/6 = 23/6
If it asks to simplify into fraction, we can put it as,
3 5/6
Tracy deposited $59 into a bank account that earned 3.5% simple interest each year. If no money was deposited into or withdrawn from the account, how much money was in the account after 112 years?
Answers
What surprised or impressed Xuanzang on his visit to India? What features of Indian life might seem most strange to a Chines visitor?
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Actually what surprised Xuanzang the most was the way how Indians ran things and their way of life because this is completely unlike to Chinese cultures. The strangest thing he found was that how everyone in India practiced Buddhism and how structured it was. Because back in China at that time, Buddhism was still much unorganized and not very popular.
V(t)=t2−3t what is the meaning of the quantity v(4) ?
Answers
List the following numbers from least to greatest -5/3, 7/3, -3/4, 7/5.
Answers
PLEASE HELP
What is the equation of the line in slope-intercept form?
Answers
(3-0)/(0+5)
3/5 slope
y intercept of 3
y=3/5x+3
Which is the range and interquartile range for the data represented by the box-and-whisker plot?
Answers
the interquartile range (IQR) will be the difference of Q3 and Q1.....Q3 is the end of the box and Q1 is the beginning of the box....so ur IQR is gonna be 35 - 21 = 14
What is the total amount of interest with 12,560 dollar stocks borrowed 2% simple interest for 4 years?
Answers
I=prt
I interest earned?
P principle 12560
R interest rate 0.02
T time 4 years
I=12,560×0.02×4
I=1,004.8
Hope it helps!
Javier bought a microwave for $150. The cost was 30% off the original price, what was the original price
Answers
Your answer is $500
Hope this helps!
Help me!!!!!!!!!!!!!
Answers
(1, 3) as T and (5, 4) as the midpoint
Alright - we know that the equation for the midpoint of a line segment is
[tex]( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2} }{2} )[/tex]
Next, we plug the x values in - since the midpoint's x value is 5 and one endpoint's x value is 1, we have
[tex] \frac{1+x_2}{2} =5[/tex] .
Next, we multiply both sides by 2, resulting in 1+x₂=10. Lastly, we subtract 1 from both sides, meaning that x₂, or the x value of the other endpoint, is 9. For the y values, we use a similar process -
[tex] \frac{3+y_2}{2} =4[/tex] .
since 3 is the y value of one endpoint and 4 is the y value of the midpoint. Multiplying both sides by 2, we get 3+y₂=8. Subtracting 3 from both sides, we get y₂=5 and our coordinates for the other endpoint to be (9, 5).
Good luck, and feel free to ask any questions as necessary!
A car travels 90 miles in 1.5 hours. How many miles will it travel in 5 hours if its speed remains the same? A) 60 miles B) 180 miles Eliminate C) 222 miles D) 300 miles
HURRY I NEED THE ANSWER.
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Hope this helps girl!!
the senior classes at high school A and high school B planned separate trips to the indoor climbing gym. the senior class at high school A rented and filled 13 vans and 5 buses with 353 students. high school b rented and filled 9 vans and 5 buses with 309 students. each van and bus carried the same number of students. find the number of students in each van and in each bus.
Answers
9v + 5b = 309.....multiply by -1
--------------------
13v + 5b = 353
-9v - 5b = -309 (result of multiplying by -1)
-------------------add
4v = 44
v = 44/4
v = 11 <=== a van holds 11 students
9v + 5b = 309
9(11) + 5b = 309
99 + 5b = 309
5b = 309 - 99
5b = 210
b = 210/5
b = 42 <=== a bus holds 42 students
For high school A:
Total number of students = 353 students
number of vans = 13
number of buses = 5 buses
This means that:
13x + 5y = 353 ............> equation I
For high school B:
Total number of students = 309 students
number of vans = 9 vans
number of buses = 5 buses
This means that:
9x + 5y = 309
5y = 309 - 9x ..............> equation II
Substitute with equation II in equation I:
13x + 5y = 353
13x + 309 - 9x = 353
4x = 44
x = 44/4 = 11
Substitute with the value of x in equation II as follows:
5y = 309 - 9x
5y = 309 - 9(11)
5y = 309 - 99
5y = 210
y = 42
Based on the above calculations:
one van can hold 11 students
one bus can hold 42 students
ASAP HELP FOR NUMBER 13!!
13a, b, c, and d!!
CORRECT ANSWERS PLS
THANK U GUYS SO MUCH!!!
Answers
Each column of the table represents an (x,y) pairing. The first column has x = 0 and y = 2 so (0,2) is one point on this line. Since x = 0 here, this means that we have the y intercept. The y intercept is 2. We'll use this later.
Another point on this line is (3,8) which is drawn from the second column.
Use the two points (0,2) and (3,8) to find the slope m
m = (y2-y1)/(x2-x1)
m = (8-2)/(3-0)
m = 6/3
m = 2
Since the slope is 2 and the y intercept is 2 (see above), this means m = 2 and b = 2
Plug those into y = mx+b and we get y = 2x+2
Answer: y = 2x+2
==============================================
Problem 13b
(0,20) is on the line as the first column shows. The y intercept is 20 since x = 0 here. So b = 20
Another point on this line is (3,8) as drawn from the second column
Slope:
m = (y2-y1)/(x2-x1)
m = (8-20)/(3-0)
m = -12/3
m = -4
Use the slope (m = -4) and the y intercept (b = 20) to get...
y = mx+b
y = -4x+b ... replace m with -4
y = -4x+20 ... replace b with 20
Answer: y = -4x+20
==============================================
Problem 13c
(2,5) and (4,8) are on the line. These two points are drawn from columns 1 and 2 respectively.
Slope
m = (y2-y1)/(x2-x1)
m = (8-5)/(4-2)
m = 3/2
m = 1.5
Note: the fraction 3/2 is equivalent to the decimal form 1.5
Use the slope m = 1.5 along with (x,y) = (2,5) to find the value of b
y = mx+b
y = 1.5x+b ... m is replaced with 1.5
5 = 1.5*2+b ... plug in (x,y) = (2,5)
5 = 3+b
5-3 = 3+b-3
2 = b
b = 2
So we can now update y = mx+b to y = 1.5x+2
Answer: y = 1.5x+2
Note: If your teacher wants a fraction instead of a decimal (for the slope), then you would write [tex]y = \frac{3}{2}x+2[/tex]
==============================================
Problem 13d
(0,20) is on the line. So the y intercept is 20, indicating that b = 20
(3,11) is also on the line
Again as done with 13a-13c, I'm only looking at the first two columns.
Slope
m = (y2-y1)/(x2-x1)
m = (11-20)/(3-0)
m = -9/3
m = -3
Therefore
y = mx+b
turns int
y = -3x+20
after replacing m and b with the values we found earlier
Answer: y = -3x+20
What is the product in simplest form?
−8/9 ⋅ 5/6
Answers
Gloria collected 28 fantail and comet goldfish. there were 4 fewer fantails than comets. how many comets did gloria have?
Answers
fantail (f)=comets (c)-4
comets=c
Fantails + comets =28
c-4 +c=28
2c-4=28
2c-4+4=28+4
2c=32
2/2c=32/2
c=16
1. ABCD is a trapezoid with midsegment EF. If AB = 12 and CD = 24, what is the length of EF?
2. ABCD is a trapezoid with midsegment EF. If AB = 21 and CD = 35, what is the length of EF?
3. ABCD is a trapezoid with midsegment EF. If AB = 7 and EF = 9, what is the length of CD?
4. ABCD is a trapezoid with midsegment EF. If CD = 32 and EF = 22, what is the length of AB?
5. The length of the midsegment of a trapezoid is the _____ of the length of the two bases.
PLEASE HELP ME, SERIOUS ANSWERS ONLY PLEASE
Answers
1.12+24=36 36/2=18
2. 21 + 35 = 56 56/2 = 28
3. (7 + EF)/2 = 9
multiply by 2
7 + EF = 18
subtract 7
EF = 11
4. (AB + 32)/2 = 22
Multiply by 2
AB + 32 = 44
Subract 32
AB = 12
5. Average
Answer:
5
Step-by-step explanation:
What is the opposite of -a
Answers
the opposite of a negative is a positive
so opposite of - a would be positive a
What is the inverse to this statement? Statement : If you feel hungry then you eat.
A. if you don't eat, then you don't feel good
B. if you feel hungry,then you don't eat.
C. If you eat, then you feel hungry
D. If you don't feel hungry, then you don't eat.
Answers
Answer:
D.Because if you feel hungry then you'll eat, but if your not hungry then you won't want to eat. Hope I helped!
Step-by-step explanation:
If a rider stops 15 mile to take a break and Another stops at 25 miles at what distance will they stop at the same time
Answers
multiples of 15: 15,30,45,60,75
multiples of 25: 25, 50, 75
they will stop together at 75 miles