According to the synthetic division below, which of the following statements
are true?
Check all that apply.
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
Learn more about polynomial here:
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3.3 X 10^{5} + 44{,}000 =3.3⋅10
5
+44,000
Answer:
374,000 or 3.74*10^5
Step-by-step explanation:
if its wrong u can report me and also srry if i got is wrong
PLEASE HELP FOR BRAINLEIST
Answer:
25.) Slope of AB = 5
Slope of CD = -1/5
Perpendicular
26.) Slope of EF = -3/5
Slope of GH = -3/5
Parallel
Step-by-step explanation:
Use this formula to find slope. [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Parallel lines have the same slope
Perpendicular lines have the opposite reciprocal and sign
25.)
Plug in AB slope is 5
2 - 7/ 3 - 4 = -5/-1 = 5
Plug in for CD slope is -1/5
3 - 4/ 2 - -3 = -1/5 = -1/5
The lines AB and CD are perpendicular because they have opposite reciprocals and opposite signs.
26.)
Plug in EF slope is -3/5
1 - 4/ 3 - -2 = -3/5 = -3/5
Plug in GH slope is -3/5
-5 - -2/ 4 - -1 = -3/5 = -3/5
The lines EF and GH are parallel lines because they have the same slopes.
Hope this helps ya!
Answer:
what the other person said
Step-by-step explanation:
you were already saved just give them brainliest now
Write and solve an equation for each problem situation. Define the variable
A) Scott spent half of his weekly allowance on music.
To help him earn more money, his parents let him wash the car for $6.53. What is his weekly allowance if he ended with $12.03
Answer:
His weekly allowance is $5.50.
Step-by-step explanation:
12.03 - 6.53 = $5.50
I'm not 100% sure this is accurate. Good Luck!
Select all of the correct solutions for the following equation
52
2y = 18
a
o ad oo
(5,3)
(4,1)
(3,3)
c
None of the above
Answer:
Your answer is (4,1).
Step-by-step explanation:
5x - 2y = 18
5(4) - 2(1) = 18
20 - 2 = 18
18 = 18 (Which means it's correct)
Let me know if you need anymore help!
pls pls pls pls help
The population of a town is 9,000, and it grows at a rate of 4.6% per year. What will the population be in 10 years ?
Answer:
13410
Step-by-step explanation:
So, first we find 4.6% of 9000
9000 x .046 = 414
Then we multiply the 414 by 10 because they gain 414 people every year and we need to find how many people after 10 years
414 x 10 = 4140
now add 4140 and 9000
Answer = 13140
A cone, a cylinder and a sphere all have the same radius and the same height.Which would have the largest volume?
Answer:
The sphere and the cylinder
a fraction is shown 5/9 which number equivalent to the fraction
Answer:
10/18 or 25/45
Step-by-step explanation
How do you decide which rational number operations to use to solve problems.
Answer:
Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
What is the surface area of the solid?
Answer:
B
Step-by-step explanation:
can someone to my last question
OFFERING A LOT OF POINTS (PLEASE DONT TAKE THIS QUESTION DOWN BRAINLY MODERATORS, i HAVE WORKED ON THIS QUESTION FOR THE PAST HOUR AND CANT GET IT RIGHT, NEED HELp),
im confused on this question of my virtual math homework, can anyone help? thanks in advance
Answer:
b) 75%
c) 150%
d) 90%
Step-by-step explanation:
A baker has 7 3/4 bags of flour.Each bag of flour will make 60 cakes.How many cakes will the baker be able to make if she uses all these bags of flour.
400 3/4
265
80 1/2
465
The baker would be able to make 465 cakes. Or D.
Because, 7 x 60 = 420. 60 ÷ 4 = 15. 15 x 3 = 45. 420 + 45 = 465.
which one is greater: 5.098 or 5.4
Answer:
5.4
Step-by-step explanation:
The number after the decimal is bigger in 5.4 than 5.098 which is the only number that matters in this question however if both numbers were the same you would move to the next number and whichever one has the bigger number.
aye wassup. what do yall want for christmas?
Answer:
Mafia Ii definitive edition for my ps4 and thats it lol ;p
Step-by-step explanation:
Answer:
I want a burrito plushie. Which I already got lol
Step-by-step explanation:
HELP ASAP :( ILL GIVE BRAINLIEST
the length of a rectangle is 4cm more than double its width. the perimeter of the rectangle is 116cm. Find the length and the width of the rectangle
Answer:
l = 31 cm
w = 27 cm
Step-by-step explanation:
l = w + 4
p = 2l + 2w
p = 2(w+4) + 2w
116 = 2(w+4) + 2w
116 = 2w + 8 + 2w
116 = 4w + 8
108 = 4w
27 = w
l = w + 4
l = 27 + 4
l = 31
hope this helps, pls mark brainliest :D
Answer:
w=18 L=40
Step-by-step explanation:
w
---------
| |
| | 2w+4
| |
---------
2(2w+4)+ 2(w)=116
6w+8=116
6w=108
w=18
2(18)+4
36+4
40
HELLPPPPPPPPPP!!!(Mikaela will invest $2,500 in an account that pays her 7.5% over 2 years. How much interest will she receive? Also, how much will she make total?
Answer:
Just interest is $187.50
Total is $2,687.50
Step-by-step explanation:
1. Determine what 7.5% of $2,500 is:
0.075 × 2,500 = 187.5
2. Add the interest (187.5) to the amount invested:
2,500 + 187.5 = 2,687.5
Answer:
375 interest, 2875 total
Step-by-step explanation:
I - ?
P - 2,500
R - .075
T - 2
2,500 x .075 = 187.5
187.5 x 2 = 375
375 + 2,500 = 2,875
(Do you go to GPFAA bc I have the same question)
2. A formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
If the length of a rectangle is 34 centimeters and the width is 12 centimeters, what is the perimeter?
a. 78 cm b. 105 cm c. 85 cm d. 92 cm
Find the length of BC.
Answer:
BC = 8
Step-by-step explanation:
AB + BC = AC
4x + 8 + 3x - 4 = 32
7x + 4 = 32
7x = 32 - 4
7x = 28
x = 28/7
x = 4
BC = 3x - 4 = 3*4 - 4 = 12 - 4 = 8
Answer:
B) 8
Step-by-step explanation:
The Segment Addition Postulate basically states that the sum of the segments of a line will equal the length of the entire line.
Thus, AB+BC=AC, and we can substitute:
AB+BC=AC
(4x+8)+(3x-4)=32
4x+8+3x-4=32
7x+4=32
7x=28
x=4
Now that we have x, we can plug it in for segment BC:
BC=3x-4
3(4)-4
12-4
8
Therefore, choice B is correct
What decimal number does point A on the number line below represent?
A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the third tick mark below 0.
−0.75
0.75
−1.25
1.25
Answer:
I think its -0.75.
Step-by-step explanation:
Btw this is just the practice test if ur doing flex flvs so it does not matter much Lol
Answer:
WROOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOONG :3
Step-by-step explanation:
please help!
what’s the value of x?
8
56
12
62
Answer:
56
the picture below shows one that is parallel to the
which line is 56
Math
A shirt costs $24.99. After using a gift card as a partial payment, you still
owe $9.99. What is the value of the gift card?
Your answer
Answer:
15
Step-by-step explanation:
Answer:
yes the answer Is A
Step-by-step explanation:
all you have to do is add and subtract
Several friends went to the movie. The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each. The total was $83.30. Solve for x, the number of friends. $2.50x + $4.85x + $24.50 = $83.30
Answer:
x = 8
Step-by-step explanation:
Let there are x friends.
The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each.
Total cost = $83.30
We need to solve for x. The equation for the scenario is given by :
$2.50x + $4.85x + $24.50 = $83.30
Taking like terms together
$2.50x + $4.85x = $83.30-$24.50
7.35 x = 58.8
x = 8
So, there are 8 friends.
Which of the following events is impossible?
Spinning a number that is neither odd nor even.
Spinning an odd number.
Spinning a number greater than 1.
Spinning a number less than 1.
Answer: number 4
Step-by-step explanation:
Answer:
Spinning a number that is neither odd nor even.
Step-by-step explanation:
Every number is either odd or even
which expression is equivalent to 8/9 divided by 3/4
Use Pascal's triangle to find the coefficient of the third term in the expansion of (a + b)2.
Question 10 options:
A)
3
B)
1
C)
4
D)
2
Answer:
B
Step-by-step explanation:
(a+b)^2
using Pascal triangle
1 1
1 2 1
1 3 3 1
so the third term in the expansion of (a+b)^2
we use
1 2 1
a^2 + 2ab+b
hence the coefficient of third term is 1
option B is collect
can someone help me with 11 please
Answer:
apples: 2, 4, 6, 8
oranges: 5, 10, 15, 20
Step-by-step explanation:
what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow
Step-by-step explanation:
First, you want to find the change in the top collum, and then the bottom collum.
The top collum seems to go up by 2, so it would be 2,4,6,8
The bottom collum seems to go up by 5 so it would be 5,10,15,20
And boom! there's ur answer!
Apply the Pythagorean Theorem to find the distance between points A and C.