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
On an escalator, you move 2 feet vertically for every 3 feet you move horizontally. When you reach the top of the escalator, you have moved a horizontal distance of 90 feet. Find the height of the escalator.
Answers
The height of the escalator is as calculated using trigonometric ratios.
We know that in a right angled triangle the trigonometric ratios are
tan θ = perpendicular ÷ base
For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .
Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.
Now using the trigonometric ratio of tanθ
tan θ = 2 / 3
Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .
Now, the height is given as h .
∴ tan θ = h / 90
or, 2 / 3 = h / 90
or, h = 60 feet
Therefore the height of the escalator is 60 feet.
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9) List the numbers in order from least to greatest.
square root of 5, 2.5, 2 1/3 , square root of 8
Answers
Solve b/6 > -7 please help
Answers
Answer:
A. b > -42would be your answer.
Answer:
A. b > -42 would be the answer
Mikey spent 16 hours and 36 minutes on a puzzle. He's almost done but needed 4 hours and 43 more minutes to complete it. How long did it take Mikey to finish the puzzle?
Answers
Answer:
21 hours and 19 minutes
Step-by-step explanation:
Graph this equation on the coordinate plane.
y=−2x+4
Select two points on the line to graph the line.
Answers
Answer:
(0,4) and (1,2)
Step-by-step explanation:
The standard equation of a straight line is given as y = mx + b
m is the slopeb is the y-inteceptGiven the equation y = -2x + 4
The slope is -2 and the intercept is 4.Is x = 0, then;
y = -2(0) + 4
y = 4
One of the point on the graph is (0,4)
If x = 1, then;
y = -2(1) + 4
y = -2 + 4
y = 2
Hence the second point is (1, 2)
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what is the x intercept to x+4y=8
Answers
Answer:
The x-intercept is 8.
Step-by-step explanation:
To find the x-intercept, set y = 0 and solve for x
x + 4y = 8
x + 4(0) = 8
x + 0 = 8
x = 8 The x-intercept is 8
Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20
Answers
Using the principle of parallel lines, the value of x in the given triangle is calculated to be 8
The smaller triangle can be expressed as :
Side / base = 6/x ----(1)The larger triangle can be expressed as :
Side / base Side = 6+9 = 15 15/20 - - - - - (2)Equating (1) and (2) :
6/x = 15 / 20
15x = 20 × 6
15x = 120
x = 120 / 15
x = 8
Therefore, the value of x in the triangle is 8.
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what is 17 = x - 15 with written work please
Answers
Answer:
32
Step-by-step explanation:
15+17=32
x=32
hope this helps
32
Step-by-step explanation:
17 = x - 15
or, 17 + 15 = x
or, 32 = x
Therefore, x = 32 Ans
On a snow day, Kayden created two snowmen in his backyard. Snowman A was built to a height of 59 inches and Snowman B was built to a height of 34 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 7 inches per hour and Snowman B's height decreased by 2 inches per hour. Let AA represent the height of Snowman A tt hours after sunrise and let BB represent the height of Snowman B tt hours after sunrise. Write an equation for each situation, in terms of t,t, and determine the interval of time, t,t, when Snowman A is taller than Snowman B.
A=
B=
Snowman A is taller than Snowman B when tt ___ __ ___
Answers
Answer:
AA=59-7t
BB=34-2t
t<5
Step-by-step explanation:
AA=59-7t
BB=34-2t
Snowman A is taller than Snowman B while 59-7t > 34-2t
25>5t
t < 5 hrs
What is the equation of the line that passes through the point (- 1, - 5) and has a slope of -1
Answers
Answer:
y = -x - 6
Step-by-step explanation:
Slope = m = -1
Equation of line: y = mx + b
y = - x + b
Plugin x = -1 and y = -5 in above equation
-5 = -(-1) + b
-5 = 1 + b
-5 - 1 = b
b = -6
Equation of the line: y = -x - 6
if you were born 10 years ago how old would you be:
Answers
Step-by-step explanation:
Add 10 to the age you are now and get an answer.
Your age will be 10 years old.
What is riddle?A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.
Riddles are of two types: enigmas, which are problems generally expressed in metaphorical or allegorical.
Given that we need to find if you were born 10 years ago how old would you be,
So, you will be 10 years old.
It because when you born 10 years ago, The same as your age.
Thats the puzzle when someone's questions, that called Riddle.
A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.
Hence Your age will be 10 years old.
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Find the sample standard deviation and the population standard deviation of the data set.
17, 37, 56, 16, 12, 16, 19, 45, 14, 37, 21, 26, 43, 46, 42
a.
5 - 13.97
5 - 3.73
0= 14.46
0 - 3.61
b.
d.
5 - 14.46
5-3.61
0-13.97
0 - 3.73
Please select the best answer from the choices provided
А
Answers
Answer:
Step-by-step explanation:
a
Which of the following can be used to solve for X
• Sine
•cosine
•tangent
•inverse sine
•inverse cosine
•inverse tangent
Solve for X
_________
Answers
Step-by-step explanation:
Sine
Find the difference
a. 41- 275
b. -15 - 47
c. -72 - (-151)
d. 612 - (-144)
Answers
Answer:
41-275=234
15-47=62
-72-{151}=223
612-144=174
Step-by-step explanation:
what are the equations to the graph
Can someone help me no bots or ill report ill also give brainly when their is 2 answer
Answers
The equations are y=3x-1 and y=-3x+5
I’ll try to solve it in the comments if you still have time
Are the triangles congruent?
-yes by SSS
-yes by SAS
-yes by ASA
-yes by AAS
-yes by HL
Answers
Answer:
yes by SAS
it is Side angle Side
How do i solve this???
Answers
so number of sides of A = 360/x
B is a 10-sided polygon and A is a 30-sided polygon.
Exterior angle of A = 12
Exterior angle of B = 36
Interior angle of A = 168
Interior angle of B = 144
pls mark me brainliest!
whats the numerator for the following rational expression 8/y+3/y=?/y
Answers
Answer:
11/y
Step-by-step explanation:
Becasue you gave a formula with a common denominator, you only have to focus on adding the numerators 8 and 3
8 + 3 = 11 so than 11 goes over 'y' as 11/y
Hope this helps!
Help me with problem plz
Answers
Answer:
It is SAS (side - angle - side)
Step-by-step explanation:
Both BCA and DCE cross from side then the angle and lastly side.
given the graphs of f and g below, find the following. give the exact if defined.
Answers
Answer:
looks like your understanding is pretty good! I'm not sure how you missed the first 2... you should check those two against your understanding.
Step-by-step explanation:
a) 2
b) 1
C-12=-4show me step by step
Answers
Answer:
C = 8
Step-by-step explanation:
Rearrange the equation to make C the subject.
C - 12 = -4
Add 12 to both sides.
C - 12 + 12 = -4 + 12
C = -4 + 12
C = 8
Check it:
C = 8
So substitute the new found value into the original equation:
C - 12 = -4
8 - 12 = -4
-4 = -4
All good.
Answer:
C = 8
Hope this helps!
Step-by-step explanation:
C - 12 = -4
C - 12 + 12 = -4 + 12 ( Add both sides by 12 )
C = 8 ( Simplify )
A car is traveling at 65 mi/hour. What is the car's speed in feet per second?
Answers
Answer:
65 mph = 95.3 feet per second
Fill in the blank statement to make it true. -3 x _ =12
Answers
Given: mIl n
m
46°
6x - 2
n
What is the value of x?
x=
Answers
Answer:
276 hope this helped :)
Step-by-step explanation:
The cost of printing different numbers of copies of a book is shown on the graph below.
Which equation represents the cost ,C, of printing n copies of the book?
Answers
Answer:B
Step-by-step explanation:200 times 2 is 400
simplify (3 ^-2)^4
This would help so much, i have to finish this 200 point exam by tonight. THANK YOU IF YOU HELP
Answers
Answer:
Simplify the expression.
Exact Form:
1/6561
Decimal Form:
0.00015241
…
Step-by-step explanation:
1/6561
Answer:
1/6561
Step-by-step explanation:
(3^-2)^4
multiply the exponents:-8
3^-8
then make the 3 a fraction to remove the negative 1/3^8 then multiply 1/3, 8times so the answer is 1/6561
plz help i reward brainliest
plz no silly answers too
Answers
Answer:
3
Step-by-step explanation:
i Square = Square Root -1. True or false
Answers
Answering is false I know because I’m smart
What is the probability of spinning red on and then yellow
Answers
plz help. The ratios of M&M's to skittles in the candy dish is 4 to 1. given this ratio, which two sets of candy counts are possible?