Use synthetic division to solve
x3- x2 - 17x-15)+(x-5). What is the quotient?
x2 + 4x + 3
x² - 6x + 13 - 180
x3+4x2+3x x2 - 6x+13-80
X+ 5
Answer:
x² + 4x + 3
Step-by-step explanation:
Dividing by (x - 5) then use h = 5 as divisor
5 | 1 - 1 - 17 - 15
↓ 5 20 15
-------------------------------
1 4 3 0 ← remainder = 0
quotient = x² + 4x + 3
[tex]x^{2} +4x+3[/tex] is the quotient when [tex]x^{3} - x^{2} -17x-15[/tex] is solved using synthetic division.
What is synthetic division?Synthetic division is a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor so as to replace the usual subtractions by additions.
Synthetic division of the given question-
5 | 1 -1 -17 -15
5 20 15
---------------------------------------------
1 4 3 |0|
Remainder = 0
Quotient = [tex]x^{2} + 4x+3[/tex]
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Casi drove 135 miles in 3 hours. Use a proportion to find how long it would take her to drive 360 miles at the same speed.
Answer:
8 hours
Step-by-step explanation:
We are given that
Casi traveled distance in 3 hours=135 miles
We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .
Let time taken by Casi to drive 360 miles=x
We know that
Speed=[tex]\frac{Distance}{time}[/tex]
Using proportion
[tex]\frac{a}{b}=\frac{c}{d}[/tex]
[tex]\frac{135}{3}=\frac{36}{x}[/tex]
[tex]x=\frac{360\times 3}{135}[/tex]
[tex]x=8[/tex]
Hence, the time taken by Casi to drive 360 miles=8 hours
What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?
A. -7
B. –3
C. 0
D. 4
Answer:
A) - 7
slope -intercept form y = - 3x - 7
slope m =-3 and y - intercept c = -7
Step-by-step explanation:
Explanation:-
Given that slope 'm' = -3 and point (0,-7)
The equation of the straight line passing through the point and having slope 'm'
y - y₁ = m ( x- x₁)
The equation of the straight line passing through the point ( 0,-7) and slope m = -3
y - (-7) = -3 ( x -0)
y +7 = -3x
3x +y + 7=0
The equation of the line 3x +y + 7=0
Final answer:-
slope -intercept form y = - 3x - 7
slope m =-3 and y - intercept c = -7
Solve the system using substitution. Put in point form.
2x - 7y = 13
3x + y = 8
are they being multiplied or added or subtracted?
Answer:
(3, -1)
Step-by-step explanation:
3x +y = 8
-3x =-3x
Y=-3x +8 Substitute into 1st equation y=-3x+8
2x-7(8-3x+8)= 13 -3(3) + 8
2x-56+21x= 13 -9 +8
23x-56 =13 y = -1
+56= +56
23x = 69
23 23
x = 3
solution (3, -1)
I NEED HELP ASAP
What is the slope-intercept equation?
A). y= -8x - 3
B). y= -5/4x + 8
C). y= 4/5x - 8
D). y= -4/5x + 8
Answer:
C. y=4/5x + 8 is the answer
Answer:
The answer is D: y= -4/5x + 8
There are 161600 drivers in uk over 75 years off age
If f(x) = 2x + 3, what is f(-2)?
Answer:
7
Step-by-step explanation:
Answer:
no answer
Step-by-step explanation:
2(-2)+3=-2
simplify
-4+3=-2
simplify
-1=-2
No answer
If there's something along the lines of no answer and it's multiple choice click that.
Please help
Regroup and write your answer in simplest form
What is the sum of 8 yards and 5 feet?
10 yards
13 yards
21 feet
29 feet
The buildings of a university are mapped on a coordinate grid with the origin being at library.
The Math building is located at the point (1, 5) and the History building is located at (4, 9).
How far is it from the Math building to the History building?
Applying the distance formula, the distance between the the Math building to the History building is: 5 units.
What is the Distance Formula?To find the distance between two given points on a coordinate grid, the distance formula which is used is: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the following:
Math Building (1, 5) = (x1, y1)History building (4, 9) = (x2, y2).Plug in the values into the distance formula:
d = √[(4−1)² + (9 − 5)²]
d = √[(3)² + (4)²]
d = √(9 + 16)
d = √25
d = 5
Distance between the the Math building to the History building is: 5 units.
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What is the slope of the line that passes through the points (5, -10) and (-3,-10)? Write your answer in simplest form.
Answer:
From Calculating, the slope would be 0.
Step-by-step explanation:
This is because of the fact that the two points create a straight line across the x-axis. The points do not have any distance up or down, the only distance is 8 units across. The slope would be 0 because there isn't a slope, only a distance. Hope this helps.
[tex] - 2x - 4y = 10 \\ 2x + 4y = - 10[/tex]
please find the point of intersection
Answer:
They are the same slope
Step-by-step explanation:
When you convert both equations you get y=-[tex]\frac{1}{2\\}[/tex]x-[tex]\frac{5}{2}[/tex]
Drag the numbers to order them from least to greatest.
Renan found the sum (4.2x + 3) + (5.7x – 2) + (5 – 2.6x), as shown. 4.2x + 3 + 5.7x – 2 + 5 – 2.6x 4.2x + 5.7x + 2.6x + 3 – 2 + 5 (4.2 + 5.7 + 2.6)x + 3 – 2 + 5 12.5x + 6 What was Renan's error in adding the expressions? He used the commutative property incorrectly. He used the distributive property incorrectly. He added incorrectly. He multiplied incorrectly.
Answer:
He used the commutative property incorrectly as he had no such addition of the property of any function to be done in sequence.
Answer:
He used the commutative property incorrectly. should be first answer good luck.
Step-by-step explanation:
Хеллльпппппп please ......
Answer:
B
Step-by-step explanation:
What is the slope of the line in the graph
The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables Let _______ represent the first number Then _______ will represent the second number. b) What is the equation that represents the above situation? c) Solve the equation.
Answer:
34 and 17Step-by-step explanation:
a) set up the variables
Let x represent the first number Then y will represent the second number.
b) What is the equation that represents the above situation?
x = 2yx + y = 51c) Solve the equation.
Substitute x in the second equation and solve for y:
x + y = 512y + y = 513y = 51y = 51/3y = 17Then find x
x = 2y = 2*17 = 34Answer:
[tex]\tt{34~and ~17 }[/tex]
Step-by-step explanation:
let the first number is =x
second number is =y
The sum of two numbers is 51 =x+y=51•••{1}
the greater number is twice the smaller number= x=2y••••••••{2}
According to the question,
[tex]\bold{ x+y=51 }[/tex]
[tex]\bold{2y+y=51 }[/tex] [tex]\because{ (x=2y ) }[/tex]
[tex]\bold{ 3y=51 }[/tex]
[tex]\bold{ y=\dfrac{51}{3} }[/tex]
[tex]\boxed{\blue{y=17 } }[/tex]
NOW put the value y in equation {2}
we get that,
[tex]\bold{ x=2×17 }[/tex]
[tex]\bold{ x=34 }[/tex]
please simplify 5(x-1)
Answer:
5x-5
Step-by-step explanation:
Just use distribuative property
12 batteries cost $30 = ? dollars per battery
Answer:
2.50
Step-by-step explanation:
You just divide 30 by 12... and that will give you the cost of one battery.
blank + blank = internal energy
Answer:
kinectic + electric = internal
Step-by-step explanation:
Internal energy U of a system or a body with well defined boundaries is the total of the kinetic energy due to the motion of molecules and the potential energy associated with the vibrational motion and electric energy of atoms within molecules. Internal energy also includes the energy in all the chemical bonds.
Answer:
The internal energy of a system is identified with the random, disordered motion of molecules; the total (internal) energy in a system includes potential and kinetic energy. This is contrast to external energy which is a function of the sample with respect to the outside environment (e.g. kinetic energy if the sample is moving or potential energy if the sample is at a height from the ground etc). The symbol for Internal Energy Change is ΔU .
Energy on a smaller scale
Internal energy includes energy on a microscopic scale
It is the sum of all the microscopic energies such as:
translational kinetic energy
vibrational and rotational kinetic energy
potential energy from intermolecular forces
One gram of water at zero °Celsius compared with one gram of copper at zero °Celsius do NOT have the same internal energy because even though their kinetic energies are equal, water has a much higher potential energy causing its internal energy to be much greater than the copper's internal energy.
Can you Find the value of x I don’t know the answer
Answer:
x = 5
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
x+4−3x=3x−6−3x
−2x+4=−6
Step 2: Subtract 4 from both sides.
−2x+4−4=−6−4
−2x=−10
Step 3: Divide both sides by -2.
−2x /−2 = −10 /−2
x = 5
725% work in an organisation 52% of employees or post graduate and the remaining are not post graduate find the number of employees were not post graduate
Answer: 348
Step-by-step explanation:
Given : Total employees work = 725
Proportion of employees are post graduate = 52%
Proportion of employees are not post graduate = 100%-52% = 48%
The number of employees were not post graduate = 48% of 725
= 0.48 x 725
= 348
Hence, the number of employees were not post graduate = 348
Assume there is a 50% chance of having a boy. Find the probability of
exactly two boys in three births.
Answer:
0.375
Step-by-step explanation:
Given that there is 50% chance of having a boy in a single birth.
Let it be represented by p, so
p=50%=0.5
According to Bernoulli's theorem, the probability of exactly r success in n trials is
[tex]P(r)=\binom {n}{ r} p^r(1-p)^{n-r}[/tex]
where p is the probability of success.
So, the probability of exactly 2 boys (success) in a total of 3 birth (trials) is
[tex]P(r=2)=\binom {3}{ 2} p^2(1-p)^{3-2}[/tex]
As p=0.5, so
[tex]P(r=2)=\binom {3}{ 2} (0.5)^2(1-0.5)^{3-2} \\\\=\binom {3}{2} (0.5)^2(0.5)^{1} \\\\=3\times 0.5^3[/tex]
=0.375
Hence, the probability of exactly 2 boys in a total of 3 birth is 0.375.
Please help I really need it
Answer:
the slope is 3
Step-by-step explanation:
Answer:
m = -1/3
Step-by-step explanation:
You have the right idea with the rise and run. We have a run of 15 and a rise (or I guess in this case, a decline) of -5. Slope is rise over run:
-5/15 = -1/3
This means we have a slope of -1/3.
Alternatively, we could just the points and put them into the slope formula.
We have the points (0,25) and (15,20). We can substitute those values into the formula:
m = y₁ - y₂ / x₁ - x₂
m = 25 - 20 / 0 - 15
m = 5/-15
m = -1/3
Works all the same.
7th grade math, please help. I’ve got an answer but I wanna make sure it’s right. Thanks.
Answer:
yes your right buddy
Step-by-step explanation:
Answer:
im in 9th and i still cant do this :(
Find 9,528 ÷ 6. help pls dis due today and its ez D:
Answer:
1588
Step-by-step explanation:
ok I did this my self the answer is 1,588
A) I sell one piece of wood for £1000, however the price has increased by 5000% how much do I make from selling 64 pieces of wood?
B) I sell one piece of wood for £2000, however the price has increased by 5000% how much do I make from selling 64 pieces of wood?
C) I sell one piece of wood for £1000, however the price has increased by 50% how much do I make from selling 64 pieces of wood?
A) £3264000.
. £1000 increased by 5000% =£51,000
. £51,000×64=£3264000
B) £6528000
. £2000 increased by 5000% =£102,000
. £102,000×64=£6528000
Step-by-step explanation
5x(12-4)+3=
Can someone please help me with this
Marcus looked out in the audience and saw 40% of the chairs were filled. There were 42 people sitting in the chairs. Enter the total number of chairs in the audience.
Answer:
I say it is 16.8
Step-by-step explanation:
40 x 42
100
= 16.8
The total number of chairs in the audience is 105.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Marcus looked out into the audience and saw 40% of the chairs were filled and 42 people are sitting in the chairs.
Let, 'x' be the total number of chairs.
Therefore, 40% of 'x' is 42 which can be numerically expressed as,
(40/100)×x = 42.
0.4x = 42.
x = 42/0.4.
x = 105.
So, The total number of chairs in the audience is 105.
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Due in 15 minutes helppppp
Answer:
13,5,12 inches hope this helps
Step-by-step explanation: