According to the synthetic division below, which of the following statements
are true?
Check all that apply.
Answers
The correct statements about given synthetic division are C, D, and F
What is a quadratic polynomial?"It is a polynomial with degree 2."
What is synthetic division?"It is defined as a way of dividing one polynomial by another polynomial of first degree."
For given question,
We have been given a quadratic polynomial [tex]F(x)=4x^{2} -17x-15[/tex]
We can factorize above quadratic polynomial as,
[tex]F(x)\\=4x^{2} -17x-15\\=4x^{2} -20x+3x-15\\=4x(x-5)+3(x-5)\\=(x-5)(4x+3)[/tex]
This means the factors of [tex]4x^{2} -17x-15[/tex] are (x - 5) (4x + 3)
And the roots of the polynomial would be,
[tex]\Rightarrow F(x)=0\\\Rightarrow 4x^{2} -17x-15=0\\\Rightarrow (x-5)(4x+3)=0\\\Rightarrow x-5=0~~,~~4x+3=0\\\Rightarrow x=5~~,~~x=-\frac{3}{4}[/tex]
This means, the roots of [tex]4x^{2} -17x-15[/tex] are 5 and [tex]\frac{-3}{4}[/tex]
Therefore, the correct statements about given synthetic division are C, D, and F
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Related Questions
Graph f( x)3/2 x= x+2
Answers
Answer:
I don't believe there is a slope or y-intercept for this expression.
Step-by-step explanation:
There is no vertical, horizontal or oblique asymptotes that I have found.
I hope this somewhat helped to answer your question.
Apply the Pythagorean Theorem to find the distance between points A and C.
Answers
C to B is 6 units
A good B is 6 units
6 squared + 6 squared = sqrt 72
Edgar is scuba diving 50 feet below the water. He is swimming to the surface at a rate of 3 feet per second. Write an equation to represent his depth, d, after s seconds.
Fill in the blank
d = __ s + __
(also to understand better we are doing the equation y = __ x + __ )
Answers
Answer:
I know this is late but the actual answer is d=3s+-50
Step-by-step explanation:
The reason is because he is swimming down, so yeah.
Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles <1 and <2, and she labeled the second pair of vertical angles <3 and <4. Martha made the conjecture that <1 =~ <2 to validate this conjecture, which of the following would be appropriate reasoning?
A. M<1+ M<2 +M<3 + m<4 = 360
B. The sum of the measures of angles of a triangle is 180°
C. The measure of all right is 90°
D. Because <1 and <2 are each supplementary to <3, they are therefore congruent
Answers
Answer:
b 3eedeehheheehejwjjhhhejjererj
Divide 350rs in 3:4 ratio
plzzz fast
Answers
150 : 200
Explanation:
3 + 4 = 7
350 / 7 = 50
50 x 3 = 150
50 x 4 = 200
At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling.
Answers
The expression for S, expressed in terms of t, which represents the amount of snow on Audrey's lawn, is as follows:
S = 0 - 2t
When the storm first began, there were 10 inches of snow in Audrey's yard. This can be shown as a constant value.
2 inches of snow melt each hour when it first starts to melt. We deduct 2t from the initial depth of snow since it gets shallower with time. Here, t denotes the number of hours that have passed since the snow ceased falling.
Determine the depth of the snow on Audrey's lawn at various times by changing the value of t in the equation.
For example, if we substitute t = 1 into the equation,
S = 10 - 2(1) = 10 - 2 = 8
This indicates that 8 inches of snow would be present in Audrey's yard once the snow stopped falling in one hour. To get the depth at various times, you may similarly insert different values for t.
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In geometry, components used in deductive reasoning include all the following except:
A.) Postulates
B.) Theorems
C.) Observations
D.) Definitions
Answers
Answer:
the answer is observations
Step-by-step explanation:
Friendship’s soccer team purchased uniforms and equipment for a total of $912. The equipment cost $612 and the uniforms cost $25 each. How many uniforms did the school purchase?
Answers
Answer:
12
Step-by-step explanation:
912 - 612 = 300
300 ÷ 25 = 12
The number of uniforms the school purchased based on the given data and equation formation will be $12.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's suppose the school purchase x number of uniforms.
Total cost = equipment cost + x uniforms cost
912 = 612 + 25x
912 - 612 = 25x
25x = 300
x = 12
Hence "The number of uniforms the school purchased based on the given data and equation formation will be $12".
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Solve x in the triangle. Round your answer to the nearest tenth
Answers
Answer:
9.5
Step-by-step explanation:
Im just bult different.
ayo if i get this right can i get brainliest, i only need 2 more brainliest to get to the next rank :)
convert the word three and five tenths into a fraction
Answers
Your answer would be 3 5/10. (3 and 5/10).
Does the table, graph, or equation represent a linear or nonlinear function? EMERGENCY I need help
Answers
Answer:
Nonlinear
Step-by-step explanation:
This is because the x^2. If there are any exponets, the equation would be considered nonlinear.
Hope this helps!
Is the relation shown below a function? Use the graph below to justify your response.
(0, 0), (2, 0), (2, 2), and (3, 4)
Answers
Answer:
yes it is a function there is no graph so I cant justify it
The relation is not a function.
Relations
Relations that are functions will pass the vertical line test
Points
The points are given as:
(0,0), (2,0), (2,2), and (3,4)
GraphsNext, we plot the points on the graph (see attachment).
From the graph, we can see that a vertical line passes through points (2,0) and (2,2).
Hence, the relation is not a function.
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a company dyes two sizes of rugs a small rug requires 8 hours for dyeing and a medium-sized rug requires 12 hours of dyeing the dryers have to make at least 22 guys ansld that must do it in less than 240 hours let x equal small rugs abd u equal medium rugs state a possible ordered pair solution for the system of inequalities justify mathematically using both inequalities
Answers
Answer:
C says 8x+12y, but D says 12x+8y, instead of 8x and 12y. The correct answer is C, I guess
Step-by-step explanation:
Let x=small rugs and y=medium rugs. It takes 8 hours to dye a small rug, so you would write 8x. It takes 12 hours to dye a small rug, so you would write 12y. Those two would need to be added together. The dyer needs to dye at least 22 rugs in 240 hours, so you would need a less than or = to sign.
I'm not sure which choice has the line beneath, indicating that the sign is a "less than or equal to" sign, but the answer is gonna be either C or D.
8x+12y≤240, or 12y+8x≤240
Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Can you please explain your answer pretty plz
Answers
Answer:
.16
Step-by-step explanation:
All you do is double each number by 4.
Answer:
1.6 cups of sugar
Step-by-step explanation:
1 batch=0.4 cups
So if you want 4 batches, you would have to quadruple the amount of sugar
0.4x4=1.6
the number of employees went from 7623 to 6824 what percent did this increase or decrease
Answers
Answer:
9.5% decrease
Step-by-step explanation:
Which of the following expressions is equivalent to the expression given below.
12 (-31 + 26) + 45
—————————
4
3.5
-3.75
4.2
-4.5
Answers
Answer:
wuhh
Step-by-step explanation:
I hope this helps you out
How many adult tickets were sold if each adult ticket sold was $6 and each student ticket was $4.50 and 260 tickets were sold for a total of $1404?
Answers
Answer:
Adult tickets sold: 156
Step-by-step explanation:
Adult ticket: x
Student ticket: y
x + y = 260 ===> -6(x + y = 260) ===> -6x -6y = -1560
6x + 4.5y = 1404 ===> 6x + 4.5y = 1404
________________
add the two equations to eliminate a variable: -1.5y = -156
divide by -1.5: y = 104
substitution to find x:
x + y = 260
x + 104 = 260
x = 156
please help!! i’ll give brainliest!!
Answers
B is 12
hope this helped :)
Answer:
a- 1,100
b- 12
c- the price also increases.
Step-by-step explanation:
Heather purchased a sapphire bracelet during the Jewelry Emporium's Semi-Annual Clearance Sale. If Heather paid $149.50 for the bracelet and the original price is $230.00, how much of a discount did she receive?
A.
35%
B.
30%
C.
45%
D.
65%
Answers
She received a 35% discount (A).
230 - 80.5 = 149.50, true
By guess and check, it’s A
Solution: A
PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Answers
Answer:
25
Step-by-step explanation:
180-130=50
50/2=25
Answer:
x = 25 degrees
Step-by-step explanation:
the figure is an isosceles triangle
x + x + 130 = 180
2x + 130 = 180
2x = 180 - 130
2x = 50
x = 25 degrees
Please answer and label
1=
2=
3=
4=
5=
6=
Brainliest if correct
Answers
Answer:
1 is 3/2
2 is 3/50
4 is B
5 is 8/3
6 is B
Step-by-step explanation:
If, a quadratic equation in the form of ax+ bx + c = 0 has a discriminant
value of 32, then it will have 2 real, rational solutions.
true or false
Answers
Answer:
True
Step-by-step explanation:
The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).
Find the value of r in the triangle shown below.
X =
50°
41°
Answers
Answer:
89
Step-by-step explanation:
180 - (50 + 41)
180 - 91
89
.ie x= 89
because total sides of triangle = 180 degree
hope this answer helps!!!!
Derin is buying a new car at the price of $14,799.99. If he must pay 5% in sales tax, how much will his new car really cost him
Answers
answer correctly and i will give brainliest
Answers
Answer:
$25 per month
Step-by-step explanation:
What we know:
3 months of a gym membership costs $75.
6 months cost $150.
To find the unit rate, divided 75 by 3, or 150 by 6.
150/6 = 75/3 = 25/1 = $25 per month
please help ill give brainliest!
Answers
Answer:
3,14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
HELLLLLLP’!!!!
Suppose f(x)=2x-3 describe how the graph of g compares with the graph of f G(x)=f(x)+11
Answers
Answer:
Step-by-step explanation:
g(x) = 2x - 3 + 11
= 2x + 8.
The graph of g is parallel to the graph of f but f is translated upwards by 8 units.
HELPPPP... Don't just use my points people
Answers
Answer:
33
Step-by-step explanation:
plz help me with this
Answers
Step-by-step explanation:
numbers 1 4 and 7
Given a triangle with side lengths of 8 & 23
What is the range of possible lengths of the 3rd
side?
Answers
Answer:
i think it cud be 93 multiply The 3 times
Step-by-step explanation:
i think its that