Answer:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Step-by-step explanation:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Using Factor theorem we put values of x = ±1,±2,±3 in each of the polynomials unless we get a zero.
1. x² + 6x + 8
= 1+6(1) +8= 15
1. x² + 6x + 8
4+ 12+8 = 24
1. x² + 6x + 8
(-1)² + 6(-1)+ 8
= 1-6+8= 3
1. x² + 6x + 8
(-2)² + 6(-2)+ 8
= 4-12+8= 0
1. x² + 6x + 8
(3)²+ 6(3) +8
= 9+18+8 ≠ 0
1. x² + 6x + 8
(-3)²+ 6(-3) +8
= 9-18+8 =-1
For this polynomial we have x+2= 0 or x=-2, x-3= 0 , x=3
2. x³ - 7x + 6
1-7+6= 0
2. x³ - 7x + 6
(-1)³-7(-1) +6
= 13-1≠0
2. x³ - 7x + 6
(2)³-7(2) +6
= 8-14+6= 0
2. x³ - 7x + 6
(-2)³-7(-2) +6
= -8 +14+6
2. x³ - 7x + 6
(-3)³-7(-3) +6
= -27+21+6 = 0
For this polynomial we have x+1= 0 , x+2 = 0 and x+3= 0, or x=-1,-2,-3
3. x³ - 2x² - 5x + 6
(1)³-2(1)²-5(1)+6
= 0
3. x³ - 2x² - 5x + 6
(-1)³-2(-1)²-5(-1)+6
= -1 -2 +5+6
=8
3. x³ - 2x² - 5x + 6
(2)³-2(2)²-5(2)+6
= 8-8-10+6
=-4
3. x³ - 2x² - 5x + 6
(-2)³-2(-2)²-5(-2)+6
= -8-8+10+6
=0
3. x³ - 2x² - 5x + 6
(3)³-2(3)²-5(3)+6
= 27-18-15+6
=0
3. x³ - 2x² - 5x + 6
(-3)³-2(-3)²-5(-3)+6
= -27-18+15+6
=-14
For this polynomial we have x-1= 0 ,x+2=0, x-3= 0or x=1,-2,3
The function = 3describes the volume of a cube, , in cubic inches, whose length, width, and height each measure inches. Find the (instantaneous) rate of change of the volume with respect to when = 3 ℎ.
The correct structure of the question is as follows:
The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.
Answer:
Step-by-step explanation:
Given that:
f(x) = x^3
Then;
V = x^3
The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V
dV/dx = 3x^2
Now, at the moment when x = 3;
dV/dx = 3(3)^2
dV/dx = 3(9)
dV/dx = 27 cubic inch per inch
Suppose it is at the moment when x = 9
Then;
dV/dx = 3(9)^2
dV/dx = 3(81)
dV/dx = 243 cubic inch per inch
Graph y < -x - 1, I do not understand what to do without a slope given.
Answer:
Step-by-step explanation:
If you are not given a number before x always assume it is a 1 and if there are no visible denominators also assume that it is 1
In this case the inequality reads y<-1x/1-1
The slope is -1/1x or fall 1 crawl 1
The y-intercept is -1
I looked up the graph...
The value of the ratio of adults to children is 2/5. The ratio of adults to children is _____.
10:5
5:2
2:5
Answer:
2:5
Step-by-step explanation:fraction sighn is equivilent to ratio sighn.
In right triangle XYZ, the tangent of acute angle X is 4. What is the secant of angle X?
Answer:
The secant of angle x; sec x = √17
Step-by-step explanation:
Here, given the tangent of an angle, we want to find the value of the secant
Mathematically;
sec^2 x = 1 + tan^2 x
This is from trigonometric identity
Thus;
sec x = √(1 + tan^2 x)
According to the question;
tan x = 4
So tan^2 x = 4^2 = 16
Thus;
sec x = √1 + 4^2
sec x = √17
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
can anyone help me solve this twenty points if you solve it
Answer:
Option d is the ryt answer.
Point slope form:
y-y1 = m(x-x1)
Slope intercept form:
y = mx+b
4 and 2/3 divided by 1/2
Yeah, I'll give brainliest if you answer other questions too. Basically doing an assignment for brainliest.
Answer:
Exact Form:
[tex]\frac{28}{3}[/tex]
Decimal Form:
9.3¯ (where the three is repeating)
Mixed Number Form:
[tex]9\frac{1}{3}[/tex]
an equation of the line that passes through (2, −4) and (0, −4).
Answer:
what
Step-by-step explanation:
Answer:
y = 0x - 4
Step-by-step explanation:
The slope is 0
What similarity property, if any, can be used to show that the following two triangles are similar.
A.) SAS
B.) AA
C.) SSS
D.) Not enough information given
What is the measure of angle x°?
pls answer real quick 20 points
Answer:
30
Step-by-step explanation:
A triangle has a total degree of 180. We already have 150(from the 60 and the right angle) 180-150 is 30
Answer:
Its 30 btw :D
Step-by-step explanation:
Find the least common multiple of 12 and 18?
In Josie's garden, the ratio of zinnias to petunias is 5:3. Which sentence correctly describes the ratio? A For every 5 zinnias, there are 3 petunias. B For every 3 zinnias, there are 5 petunias. C For every 8 petunias, there are 5 zinnias. D There are 35 as many zinnias as petunias.
Answer: A For every 5 zinnias, there are 3 petunias.
Step-by-step explanation:
STEP 1
A ratio compares the value of one thing and another thing in the same unit by expressing how many times a number of items are contained in another comparing item . it is usually expressed using the colon : as in a: b or "to" as in a to b.
STEP 2
in Josie's garden, the ratio of zinnias to petunias is 5:3.
Here, the ratio 5:3 compares and expresses how many times the number of petunias are contained in the number of zinnias.
which means that For every 5 zinnias, there are 3 petunias.
461x84 in partial produts
Answer:
38724 is the answer but kinda confused on what u mean
Step-by-step explanation:
The following two triangles are similar. Find x
A.) 4
B.) 6
C.) 7
D.) 5
The value of x is 7.
Option C is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two similar triangles.
56/48 = x/6
Cross multiply.
x = (56 x 6)/ 48
x = (7 x 6)/6
x = 7
Thus,
x is 7.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
A slug travels 3 centimeters in 3 minutes. A snail travels 6 centimeters in 6 minutes. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai's reasoning
Answer:
yes
Step-by-step explanation:
a,p,e,x
A pet store has 40 animals for sale and 15 of them are puppies what is the ratio of animals that are not puppies to the total number of animals for sale at the pet stor
Answer: 5:8
Step-by-step explanation:
Given: Total animals in the pet store = 40
Number of animals that are puppies= 15
Number of animals that are not puppies= 40- 15 = 25
Now , the ratio of A to B = [tex]\dfrac{A}{B}[/tex] or A : B.
So, the ratio of animals that are not puppies to the total number of animals for sale at the pet store = [tex]\dfrac{25}{40}[/tex]
Divide numerator and denominator by 5 , we get [tex]\ \ \ \dfrac{5}{8}[/tex].
Hence, the required ratio = 5:8
distribute 3(7x - 8)
Answer: 21x - 24
Step-by-step explanation:
(3 * 7) x - 3 (8) = 21x - 24
(80i) – (80 + 101) =
Express your answer in the form (a + bi).
Answer:
- 80 + 70i
Step-by-step explanation:
Given
80i - (80 + 10i) ← distribute by - 1
= 80i - 80 - 10i ← collect like terms
= - 80 + 70i
Answer:
(80 i) - (80 + 101)
80 i - ( 181)
-181 + 80 i
Step-by-step explanation:
5÷4/9 help mee :_<<<<<<
Answer:
45/4 I think
Step-by-step explanation:
you would do keep flip switch
so 5 would be 5/1, flip 4/9 to become 9/4 then multiply 5/1 by 9/4
hopefully this helps you
Answer:
5 divided by 4/9 equals 45/4, or 11.25
Step-by-step explanation:
• Samir and Jillian share a phone plan. Each month they can use a combined total of up
to 8 GB of data. So far this month, Samir has used 4.23 GB and Jillian has used 2.89 GB.
They want to know whether they still have data left to use.
.) Find the
sum
of Samir's and Jillian's data.
Compare that amount to
8
GB.
) An exact calculation is not necessary to solve the problem.
You can approximate the sum by rounding the addends.
• Round each person's data to the nearest gigabyte.
Samir:
GB
Jillian:
?
GB
7
8
9
4
5
6
Answer:
72GB
Step-by-step explanation:
Answer:
7 GB
Step-by-step explanation:
Just did this
Ben is going to an amusement park with his scout troop. He has $80 in his wallet. If admission costs $18.95, a book of ride tickets costs $26.50, and lunch costs $9.20, round each amount to the nearest dollar to find out about how much Ben will have left to buy a souvenir. A. $15 B. $25 C. $32 D. $38
Answer:
B
Step-by-step explanation:
because thats what google say lol
HELP :/ At the local pet store, Bloodfin Tetra cost $1.50 each and Angelfish cost $4.75 each. If Sarah bought 8 fish for a total cost of $21.75, not including tax, how many of each type of fish did she buy?
Answer:
Sarah bough 3 Angelfish and 5 Bloodfin Tetra
Step-by-step explanation:
Let a be the number of Angelfish fish and
b be the number of Bloodfin fish
Then according to the given statements
we get the following equations
[tex]a+b = 8\ \ \ Eqn\ 1\\4.75a+1.50b=21.75\ \ \ Eqn\ 2[/tex]
From Equation 1
[tex]a = 8-b[/tex]
Putting in equation 2
[tex]4.75(8-b)+1.50b = 21.75\\38-4.75b+1.50b = 21.75\\38-3.25b = 21.75\\-3.25b = 21.75-38\\-3.25b = -16.25\\\frac{-3.25b}{-3.25} = \frac{-16.25}{-3.25}\\b = 5[/tex]
Putting b=5 in equation 1
[tex]a+5 = 8\\a = 8-5 = 3[/tex]
Hence,
Sarah bough 3 Angelfish and 5 Bloodfin Tetra
Which equation could represent the relationship shown in the scatter plot?
y=52x−1
y=3x
y=12x+7
y=−x+8
Scatter plot with x axis labeled variable x and y axis labeled variable y. Points go from lower left to upper right.
Answer:
y=1/2x+7
Step-by-step explanation:
Can anyone please help me with #30? :(
Answer:
See below.
Step-by-step explanation:
30.
E(1, 2), F(5, 6), G(3, -2)
a)
H, midpoint of segment EG
H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)
J, midpoint of segment FG
J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)
b)
Show that segment HJ is parallel to segment EF.
Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.
slope of segment HJ:
slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1
slope of segment EF:
slope EF = (6 - 2)/(5 - 1) = 4/4 = 1
slope HJ = slope EF = 1
Segments HJ and EF are parallel since their slopes are equal.
c)
Show HJ = (1/2)EF
We use the distance formula to find the lengths of segments HJ and EF.
length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)
length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)
HJ = (1/2)EF
Substitute the lengths we found just above for HJ and EF:
2sqrt(2) = (1/2)[4sqrt(2)]
2sqrt(2) = 2sqrt(2)
The two sides are equal, so we have proved that HJ = (1/2)EF.
factor the polynomial
X^2-5x+4
i’m a little confused on the process to get the answer pls help :)
Answer:
(x-4)(x-1)
Step-by-step explanation:
So you need 2 numbers that add up to -5x and add up to 4.
Since the product of two numbers is positive and the sum is negative, you can determine that both numbers are negative. Now if this is the case, then you can factor and you'll get
(x-4)(x-1)
I need help on photo above please!!!
How many solutions does the equation have?
x^4 + 7x^2 – 144 = 0
Answer:
The equation has no real solutions. It has 2 imaginary, or complex solutions.
Step-by-step explanation:
4x²-6xy
PLZ
HELP
I
GIVE
5
STARS
yep I get the same thing what the other person is right
Sierra plays a hockey video game. She earns 5 stars for
every goal she scores and loses star every time she
misses the goal. She scores 4 goals and misses
Answer:
the answer is 16
Step-by-step explanation:
The Kennedy Middle School cafeteria charges students $3 for 1 6 of a pizza. What is the cost per pizza?
Answer:
3*16=48
Step-by-step explanation:
If 1/16th of a pizza is 3 dollars, 1/16*16=1 3*16=48
Therefore,
1 pizza is $48
You really paying that much for one pizza
18 is answer i think