Use long division to divide and use the result to factor the dividend completely.
(5x2-13x - 28) + (x – 4)
Answers
Factor the expression
(5x² - 13x -28)/(x-4) = (x-4)(5x+7) so x = -7/5 and x = 4 are the two factors of the given polynomial.
What is a factor of a polynomial ?The factors of a polynomial are those values of x for which the given polynomial satisfies.
According to the given question we have to divide a polynomial (5x² - 13x -28) by (x - 4).
(5x² - 13x -28)/(x-4) = (x-4)(5x) + (7x - 28).
(5x² - 13x -28)/(x-4) = (x-4)(5x+7).
So, the obtained factor is (5x+7) = 0.
∴ 5x + 7 = 0
5x = -7
x = -7/5 is a factor of the given polynomial and by substituting these value in x.
(5x² - 13x -28)
5(-7/5)² - 13(-7/5) - 28 = 0
5(49/25) + 91/5 - 28 = 0
49/5 + 91/5 - 28 = 0
140/5 - 28 = 0.
28 - 28 = 0
0 = 0 ( hence satisfied that -7/5 is a factor of the given polynomial ).
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Related Questions
I need an answer and I’m offering a lot!!
Given: angle 8 and angle 6 are corresponding
angles. Identify the transversal.
Answers
A box contains plain pencils and 7 pens. A second box contains 6 colored pencils and 2 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction.
Answers
Answer:
it is 3 as a simplified fraction
Step-by-step explanation:
BOX 1) 5 plain pencils and 7 pens.
BOX 2) 6 color pencils and 2 crayons.
Plain pencil (first box) ~ 5 : 7
Color pencil (second box) ~ 6 : 2
Simplify.
3 : 1 <== Second box
At a particular sporting event, find the cost for the missing item.
___________________ = cost of one ticket
Your answer will be marked wrong if you do not include a $ since your answers are a dollar amount.
Answers
Answer:
87$
Step-by-step explanation:
Good luck! I hope this helps!
On this math problem please help me
Answers
Answer:
98.25 M/s
Step-by-step explanation:
Based on what you've read, answer the following questions.
1. Laura bought a rectangular rug for her living room. It measures 9 feet long and 8 feet wide. What is the area of her rug?
2. One can of paint will cover an area of 400 square feet. Will one can of paint be enough to cover an exterior brick wall that is 48 feet long and 9 feet high?
3. Roger owns a one-acre piece of land. The length of the land is 484 feet. What is the width of his property? (Hint: One acre = 43,560 square feet)
4. The Animal World Safari Park is a rectangular piece of land with an area of 323 square miles. The length of the park is 17 miles. What is its width?
5. Penny is making a square tablecloth that has an area of 49 square feet. What is the length of one of its sides?
Answers
Answer:
1. The area is 72 ft².
2. No, one can of paint will not be enough.
3. The width of his property is 90 ft.
4. The width of the park is 19 miles.
5. The length of a side is 7.
Step-by-step explanation:
We will use the formula Area = length x width to answer the questions.
1. 9 x 8 = 72
2. 48 x 9 = 432, 432 > 400
3. 43560/484 = 90
4. 323/17 = 19
5. √49 = 7
Hope this helps!
Answer:
1. The area is 72 ft².
2. No, one can of paint will not be enough.
3. The width of his property is 90 ft.
4. The width of the park is 19 miles.
5. The length of a side is 7.
Step-by-step explanation:
Determine the sum of the following series. ∑n=1[infinity](4^n+8^n/13n)
Answers
I need the answer to this picture below
Answers
Answer:
-4,1,7,15
Step-by-step explanation:
Use simple interest to find the ending balance
Answers
Solving steps:
P = 7400, R = 10.5%, T = 6
F = P + P rt
P = 7400
R = 10.5%
T = 6
F = 7400 + 7400rt
7400 x (12 + 6 x 0.105/12
7400 x (12 + 0.63)/12
7400 x 12.63/12
93462/12
15577/12
15577/2 0.01
7788.50
Answer: 7788.50
What is the length of the segment
Answers
Answer:
9 units
Step-by-step explanation:
Evaluate 3215.
Enter your answer as a whole number
Answers
Answer:
3215
Step-by-step explanation:
There is no explanation
Go and increase you Intelligence
Can y’all help me with this question
Answers
Answer:
I'm 100% sure it's 50.
Step-by-step explanation:
If x + y = 10 and x - y = 4, find the value of x² - y²
Answers
Answer:
x²-y² = 40
Step-by-step explanation:
Factorising x²-y²:
x²-y² = (x+y)(x-y)
This is due to the property that states:
a²+b² = (a+b)(a-b)
Substituting the given values into the above equation:
x²-y² = (10)(4)
= 40
Hence, x²-y² = 40
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
Answer:
x² - y²=40 or 7²-3²=40
Step-by-step explanation:
if x=7 that would make y=3
7+3=10 and 7-3=4
7x7=49
3x3=9
49-9=40
nick have collection of 80 cars.3/5 of his toys are bus.the rest are cars and bike.the number of cars are the three time the number of bikes.how many cars are there.
Answers
Answer:
24 cars
Step-by-step explanation:
out of 80 toys, 3/5 are buses- 80 * 3/5 is 48 so there are 48 buses
80 - 48 is 32, 32 of the rest of the toys are cars and bikes
we know that there are 3 times as many cars than bikes, so to find out how many cars and bikes there we can do 3n + n, where n is the number of bikes it also equals 4n
32 = 4n; n = 8
there are 8 bikes, so there are 24 cars
Please help me! What is 1000*1000?
Answers
Answer:
1,000,000
Step-by-step explanation:
Solve the following equation for v in terms of all other variables involved.
2(v-h)/k=r
Answers
Answer:
[tex]v = \frac{rk}{2} + h[/tex]
Step-by-step explanation:
Given the equation, [tex]r = \frac{2(v - h)}{k}[/tex], in order to solve for v:
Start by multiplying both sides by k:
[tex](k)r = \frac{2(v - h)}{k} (k)[/tex]
rk = 2(v - h)
Divide both sides by 2:
[tex]\frac{rk}{2} = \frac{2(v-h)}{2}[/tex]
[tex]\frac{rk}{2} = v - h[/tex]
Add h to both sides to isolate v :
[tex]\frac{rk}{2} + h = v - h + h[/tex]
[tex]\frac{rk}{2} + h = v[/tex]
hey can someone please help me with this
Answers
Answer:
no
Step-by-step explanation:
5(+25)=875
lets see who will get it right
Answers
Answer:
X = 150
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Answer:
X=150
Step-by-step explanation:
Which set of numbers shows one number that is about 20 times greater than the other number?
Answers
Using the division operation, the set of number of in which the larger number is about 20 times greater than the lesser number is depicted by the options C and D.
Evaluating each set of number :
1.)
[tex]\frac{2.01 \times 10^{7}}{4.25 \times 10^{6}} = 4.73 [/tex]
2.)
[tex]\frac{4.91 \times 10^{6}}{5.09 \times 10^{3}} = 964.64 [/tex]
3.)
[tex]\frac{8.21 \times 10^{-3}}{4.13 \times 10^{-4}} = 19.88 [/tex]
4.)
[tex]\frac{5.97 \times 10^{4}}{3.12 \times 10^{3}} = 19.13[/tex]
Therefore, the set of numbers which shows a number being about 20 times greater than the other are options C and D
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Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.
Estimate -−minus actual temperature (\degree\text{C})(°C)left parenthesis, degree, start text, C, end text, right parenthesis
Person A Person B Person C
-3−3minus, 3 444 888
-1−1minus, 1 -4−4minus, 4 -2−2minus, 2
000 222 555
222 -3−3minus, 3 111
What is the mean value in Fatima's results?
Answers
The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C
Given the data :
Person 1 :
-3, - 1, 0, 2, Sum = (-3 + (-1) + 0 + 2) = - 2Person 2 :
4, -4, 2, - 3 Sum = (4 + (-4) + 2 + (-3)) = - 1Person 3 :
8, - 2, 5, 1Sum = (8 + (-2) + 5 + 1) = 12Mean value = (Total sum ÷ Frequency)
Mean value = [(-2 + (-1) + 12) ÷ 12]
Mean value = - 9 ÷ 12 = - 0.75
Therefore, the mean value of the result is 0.75°C
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Evaluate the expression when a = -3 and c=4. a-3c
Answers
Answer:
Step-by-step explanation:
c=1/4(A-3c)
4c = A-3c
7c = A
c = A/7
-3-12=-15
Answer: -15
Hope this helps!
Please help im so lost Ty btw
Answers
Answer:
1) gradient (00) (-2 4) = y2-y1 / 2-1 = 4/-2 = -2 m = -2/1 means = m = -2 (negative slope) 2) gradient y2-y1 / x2-x1 = 3-0 / 2-0 = 3/2 = (1 1/2)/1 m = 1 1/2 (positive slope) we use the formula y-values divided by the change in the x-values. The equation of the gradient each goes like this 1) y = -2x as y is at origin nothing else to add The equation of the gradient each goes like this 2) y = 1 1/2x The equation of the point formula 1) we take the y -y1 = m (x +x 1) = y-0 = -2x (x +0) (as m = -2) y = -2(x +0) and The equation of the point formula 2) y - 0 = m ( x +x1) y - 0 = 1 1/2( x +0) = y = 1 1/2( x +0)
Select all of the number of ways in which a line
and a circle can intersect.
Answers
Answer:
0, 1, and 2
This is the answer
S
S
S
S
S
S
Sms
S
which value of n makes the value of the expression 4n + 3 a composite number
Answers
Answer:
3
Step-by-step explanation:
Given expression :-
4n + 3It will be composite if it will has more than 2 factors ( other than 1 and itself )
If n = 1 :-
4*1 + 3 4+ 3 7 ( prime )If n = 2 :-
4*2 + 3 8 + 3 11 ( prime )If n = 3 :-
4*3+312+3 15 ( composite )Help me this is due tomorrow
Answers
Answer:
10.50
Step-by-step explanation:
in total she would have spent 10.50 because 8.75 for the peaches and 1.75 for the ice cream sandwich
f(x)=2x-3;find f (0), and f(x-3)
Answers
Answer:
f(x) = 2x – 3
f(0) = 2(0) – 3 = -3
f(1) = 2(1) – 3 = 2 – 3 = -1
(f(0) + f(1))/2 = (-3 - 1)/2 = -4/2 (f(0) + f(1))/2 = - 2
Giving right answer branleist
Answers
Answer:
12
Step-by-step explanation:
Since 1 unit is 1x1, we then you can just count the width (4, 4) and the height (2, 2). Then add all. Getting 12.
Aviv thinks of two numbers between 6 and 50. The highest common factor of his two numbers is 5. The lowest common multiple of his two numbers is 60. Write down the two numbers that aviv is thinking of.
Answers
Answer:
15 and 20.
Step-by-step explanation:
The 2 numbers are both divisible by 5.
Listing numbers whose LCM is 60 and divisible by 5.
20 and 30 :- not this as the HCF is 10.
15 and 20 : - HCF = 5 and LCM = 60.
Aviv is thinking of the numbers 60 and 5.
How to determine the two numbers that aviv is thinking of.Let's consider the factors of 5 and the prime factorization of 60 to find the two numbers Aviv is thinking of.
The prime factorization of 60 is \(2^2 \times 3 \times 5\).
Since the lowest common multiple of two numbers is the product of their highest powers of prime factors, and we know the lowest common multiple is 60, this suggests that one of the numbers includes \(2^2\), \(3\), and \(5\) as prime factors.
However, we also know that the highest common factor of the two numbers is 5. This means that the second number must include \(5\) as a prime factor.
Putting these pieces together, the two numbers that Aviv is thinking of are \(2^2 \times 3 \times 5 = 60\) and \(5\).
So, Aviv is thinking of the numbers 60 and 5.
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are the linear expressions equivalent?
2x-3(1.3x-2.5)=5.9x+7.5
3-2(-2.6x+2.1)=5.2x-1.1
d
Answers
Answer:
not equivalent expressions
Step-by-step explanation:
Expand and simplify both expressions
2x - 3(1.3x - 2.5) - 5.9x + 7.5 ← distribute parenthesis
= 2x - 3.9x + 7.5 - 5.9x + 7.5 ← collect like terms
= - 7.8x + 15
----------------------------------------
3 - 2(- 2.6x + 2.1) - 5.2x - 1.1 ← distribute parenthesis
= 3 + 5.2x - 4.2 - 5.2x - 1.1 ← collect like terms
= - 2.3
Then the 2 expressions are not equivalent
Answer:
2x-3(1.3x-2.5)=5.9x+7.5
Equivalent Expression3-2(-2.6x+2.1)=5.2x-1.1
Not Equivalent ExpressionStep-by-step explanation:
Solving the first linear expression
2x-3(1.3x-2.5)=5.9x+7.52x-3.9x+7.5=5.9x+7.52x-3.9x-5.9x = 7.5-7.5-7.8x = 0x = 0/-7.8x = 0Thus, we can say that it's an equivalent expression.
Now Solving the second linear expression
3-2(-2.6x+2.1)=5.2x-1.13+5.2x-4.2= 5.2x-1.15.2x-5.2x = -1.1-3+4.20 ≠ 0.1Thus, we can say that it's not an equivalent expression.
13 + 2(3x − 7) please help
Answers
Answer:
6x-1
Step-by-step explanation:
13 + 2(3x − 7)
Distribute
13 + 6x -14
Combine like terms
6x+13-14
6x-1
Answer:
6x - 1
Step-by-step explanation:
plz help
Which of the algebraic expressions below is equal to 28?
Select all that apply.(ANSWER ONLY IF YOU KNOW!)
A) (34)(20)×2
B) (24÷4)(7)
C) 9(7−3)–8
D) (3+4)⋅(22+3)
Answers
Answer:
ITS C
Step-by-step explanation:
9(7−3)−8
=(9)(4)−8
=36−8
=28
Answer:
C.
Step-by-step explanation:
9(7-3)-8
according to PEMDAS, we have to do the parenthesis first. so
9(4) - 8
then
36 - 8
which gives us 28.
Hope this helped! (: