Use synthetic division to solve (2 x cubed 4 x squared minus 35 x 15) divided by (x minus 3). What is the quotient? 2 x squared minus 2 x minus 29 StartFraction 102 Over x 3 EndFraction 2 x squared minus 2 x minus 29 StartFraction 102 Over x minus 3 EndFraction 2 x cubed 10 x squared minus 5 x 2 x squared 10 x minus 5.
Answer:
2x^2+10x-5 on edge
Step-by-step explanation:
Source: Dude trust me
The quotient of the division operation is 2x² + 10x - 5.
GivenThe equation (2x^3+4x^2-35x+15) divided by (x-3).
To find the division to solve the given equation following all the steps given below.
Step 1: Divide 2x³ by x, we obtain a quotient value of 2x²; multiply the quotient value by the divisor and Subtract to obtain a dividend of 10x² - 35x + 15.Step 2: Divide 10x² by x, we obtain a quotient value of 10x; multiply the quotient value by the divisor and Subtract to obtain a dividend of - 5x + 15Step 3: Divide - 5x by x, we obtain a quotient value of - 5; multiply the quotient value by the divisor and add to obtain 0.
Hence, the quotient of the division operation is 2x² + 10x - 5.
To know more about synthetic division click the given below.
https://brainly.com/question/26387384
Two buses leave a station at the same time and travel in opposite directions. One bus travels 18 mi/h faster than the other. If the two buses are 994 miles apart after 7 hours, what is the rate of each bus
Answer:
The distance each bus travels is given as d=tr where
- d is distance bus travels
- t is a time bus travels
- r is the speed of the bus
:
Distance first bus travels for 4 hours is d1=4r.
Distance other bus travels for 4 hours is d2=4(r+12).
:
The total distance between them is 480 miles and since they go in opposite directions this distance is the sum of distances each bus travels.
:
d1+d2=480
4r+4(r+12)=480
4r+4r+48=480
8r+48=480
8r=432
r=432/8
r=54 mph, this is a speed of the first bus
:
r+12=66 mph, this is the speed of the second bus
Hope this helps you!!!! :D
David had to choose an apple and an
orange out of a total of 20 apples and
20 oranges. What is the probability that
he would choose the best looking apple
and best looking orange by choosing
randomly?
1
A.
20
1
B.
200
1
C.
100
1
D.
400
Answer:
200
Step-by-step explanation:
i think hope it helps
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS
Answer: Choice A
[tex]\angle F \text{ and } \angle R[/tex]
========================================
Explanation:
The order of the lettering of GFHE and TRQS is important.
This is because the letters of each pair up together
G pairs with T (first letters)F pairs with R (second letters)H pairs with Q (third letters)E pairs with S (fourth letters)Because the figures are similar, the paired angles are congruent. So we can say [tex]\angle F \cong \angle R[/tex]
In terms of a visual confirmation, angles F and R are located in the bottom left corner. So this helps back up the answer. Though keep in mind that often the diagrams are misleading and not drawn to scale. So we can't always rely solely on the diagram.
Let us suppose that one of the fireworks is launched from the top of the building with an initial upward velocity of 150 ft/s and the building has a height of 35 feet. what is the equation for this situation?
Answer:
9.6 seconds
Step-by-step explanation:
The equation for projectile motion in feet is [tex]h(t)=-16t^2+v_0t+h_0[/tex] where [tex]v_0[/tex] is the initial velocity in ft/s and [tex]h_0[/tex] is the initial height in feet.
We are given that the initial upward velocity is [tex]v_0=150ft/sec[/tex] and the initial height is [tex]h_0=35ft[/tex]. Thus, plugging these values into our equation, we get [tex]h(t)=-16t^2+150t+35[/tex] as our equation for the situation.
The firework will land, assuming it doesn't explode, when [tex]h(t)=0[/tex], thus:
[tex]h(t)=-16t^2+150t+35\\\\0=-16t^2+150t+35\\\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\t=\frac{-150\pm\sqrt{150^2-4(-16)(35)}}{2(-16)}\\ \\t=\frac{-150\pm\sqrt{22500+2240}}{-32}\\\\t=\frac{-150\pm\sqrt{24740}}{-32}\\\\t=\frac{-150\pm2\sqrt{6185}}{-32}\\ \\t=\frac{75\pm\sqrt{6185}}{16}\\\\t_1\approx-0.2\\\\t_2\approx9.6[/tex]
Since time can't be negative, then the firework will land after 9.6 seconds, assuming it doesn't explode at the time of landing.
1 of 5
The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many
students are girls?
your friend says the greater common factor of 15 and 30 is 5 is your friend cprrect explain ur reasoning
Answer:
Your friend is correct and its 15
Step-by-step explanation:
15 = 3*5
30 = 2*3*5
GCF = 3*5 = 15
An angle measures 47.4° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation: Let's say you have 2 supplementary angles, x and y
So x + y = 180
if x is 79.6 degrees less than the measure of a supplementary angle, then x = y - 79.6
Putting this into our x + y = 180 equation, we get
(y - 79.6) + y = 180
2y - 79.6 = 180
2y = 180 + 79.6
2y = 259.6
y = 259.6/2 = 129.8 degrees.
so x = 129.8 - 79.6 = 50.2 degrees.
See if it worked. x = 129.8 degrees, y = 50.2 degrees, x + y = 180 so we found the correct two angles!
Thomas is conducting a survey of students in
the school. Of the students, 832 prefer vanilla
ice cream and 448 prefer chocolate ice cream.
What percentage of the total students prefer
vanilla ice cream?
The Eiffel Tower is about 301 meters tall. Cooper is making a scale model of it using the scale factor 1:750.
To the nearest tenth of a meter, what will be the height of the scale model?
Enter your answer as a decimal in the box.
Answer:
0.4 mi is the correct answer,
Step-by-step explanation:
750 / 1 = 301 / x
The value of x is calculated as below.
x = 301 / 750
Simplifying,
x = 0.4
Hence, the answer to this item is 0.4 meters.
Natalie practices the flute 4 days per week. She practices 45 hour each day.
How many hours does she practice the flute each week?
Answer:
180 hours per week
Step-by-step explanation:
To find this answer, multiply all of the factors to get your answer
In this scenario, that would be 45x4
When you multiply this out, you get 180 hours
So your answer is 180 hours per week!
(By the way whoever created this problem doesn’t know simple time because there are only 24 hours in a day!)
Hope this helps!
I need help with problem 19
Answer:
124
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
The formula for calculating the sum of interior angles is:
(n - 2) x 180° (where n is the number of sides)
interior angle of a polygon = sum of interior angles ÷ number of sides
165 = [ (n - 2) x 180° ] ÷ n
Mulitply both sides by n: 165n = (n - 2) x 180°
Expand brackets: 165n = 180n - 360
Add 360 to both sides: 165n + 360 = 180n
Subtract 165n from both sides: 360 = 15n
Divide both sides by 15: 24 = n
Therefore, the number of sides = 24
The equation has a solution of x = 5. What is the value of k? k =.
The value of k is -11.
Given
The equation 3√(x-k)-2=10 has a solution of x = 5.
How to find the value of k?To find the value of k put x = 5 in the equation then solve for the value of k.
Therefore,
The value of k is;
[tex]\rm 3\sqrt{x-k}-2=10[/tex]
Substitute x = 5 in the equation
[tex]\rm 3\sqrt{5-k}-2=10\\\\\rm 3\sqrt{5-k}=10+2\\\\\rm 3\sqrt{5-k}=12\\\\\rm \sqrt{5-k}=\dfrac{12}{3}\\\\ \sqrt{5-k}=4\\\\[/tex]
Squaring on both sides
[tex]\rm \sqrt{5-k}=\dfrac{12}{3}\\\\5-k=16\\\\-k = 16-5\\\\-k=11\\\\k=-11[/tex]
Hence, the value of k is -11.
To know more about Equation click the link given below.
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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS
Answer:
350 ft
Step-by-step explanation:
its like a ratio for every 8 inches it is equal to 250 feet. so all you gotta do is 250 divided by 8 giving you 31.25. next you do 31.25 times 11.2 which is equal to 350.
Answer:
350 feet
Step-by-step explanation:
The other person is right LOL thanks to the other person
Angie and Kenny play online video games. Angie buys 2 software packages and 2 months of game play Kenny buys 1 software package and 4 months of game play. Each software package costs $45. If their total cost is $237, what is the cost of one month of
game play?
Answer:
One month of game play costs 17 dollars
is anyone gonna help me with math?
Answer:
you need to place the centre of your protractor on the vertex of the two lines.
Step-by-step explanation:
Once you place it on the vertex, since the horizontal line is on the left side of the protractor, you start measuring the angle from the left side.
You keep on measuring the point where 2nd line overlaps some angle marking on the protractor.
For the bottom left angle, you need to place the protractor diagonally on the right most line as the horizontal line and then measure the angle.
please help
Find the slope of the line passing through the points (0, 2) and (1, -1)
**NOTE: Use the slope formula to find the slope: m=y2−y1x2−x1
the line passing through (0,2) and (1, -1)
Answer:
m= -3
Step-by-step explanation:
You should do m = -1 - 2 x 1 - 0 which equals m = -3
what is the solution to the exponential equation 8=3^x-1
Answer:
x=5
Step-by-step explanation:
First we will rewrite 81=3^4
Now we have that our equation is in form of
3^4=3^x-1
From this we have that
4=x-1
We can conclude that:
x=5
make x the subject of the formula
a=bx+c
Which of the following is a correct interpretation of the expression 4 - (-3)
Answer:
positive 4 - negative 3 equals positive 1
whats is(3.4x10^4)-(2.5x10^7)
The sale price of a video game is S45.50. If the stores adds a sales tax of 6%, how much in total
will it cost?
Answer: 7.5 I think I'm winging it don't trust me EVER
Step-by-step explanation: Uh music
Answer:
$48.23 is the cost
Step-by-step explanation:
Data :
Sale price = $ 45.50
Sales tax = 6%
Now find sales tax
( 45.50×6 ) ÷ 100 = 2.73
Now this in sales price
45.50 + 2.73 = 48.23
The size of a computer class is limited to fifteen people. If three seats are still available, to what percent of its capacity is the class full?
Answer:
Its 80% full
and 20% remaining/ seats available
Step-by-step explanation:
What is the solution to this inequality?
4.7>x−2 2/5
x>7.1
x<7.1
x<2.3
x>2.3
Answer:
Answer: x<7.1
Step-by-step explanation:
[tex]{ \tt{4.7 > x - 2 \frac{2}{5} }} \\ \\ { \tt{4.7 > x - \frac{12}{5} }} \\ \\ { \tt{x < 4.7 + \frac{12}{5} }} \\ \\ { \boxed{ \tt{x < 7.1}}}[/tex]
4
5
2 A plant grew 1.5 inches in 4 days. Then it grew
inch in 2 days. What was the plants average
rate of growth during the entire time?
A
inch per day
20
299
B.
8
inch per day
25
C.
el
23
inch per day
D. 3
8.
inch per day
Answer:
D is the answer
Step-by-step explanation:
this is the average growth of a plant
Solve the system using elimination.
=
2x + 3y = -2
3x - 6y = 18
Answer:
x= 2 y= -2
(2, -2)I hope this helps you!
In the diagram, the radius of the outer circle is 5 centimeters and the area of the shaded region is 16π square centimeters. Find the radius of the inner circle.
A.) r = 1
B.) r = 2
C.) r = 3
D.) r = 4
Answer:
c because I did this one an yeah
solve the equation 4x + 6 = 4 + 2(2x + 1). Which choice describes the meaning of his result, 6 = 6?
Answer:
the equation is true
Step-by-step explanation:
solve the equation 4x + 6 = 4 + 2(2x + 1). Which choice describes the meaning of his result, 6 = 6?
4x + 6 = 4 + 2(2x + 1)
4x + 6 = 4 + 4x + 2
6 = 4 + 2
6 = 6
the equation is trueWhat is B^2 ?
Square root of B^2 is ?
Answer:
what is B^2 ?
ans - 1 byte2
Square root of B^2is ?
ans - Square root(byte^2) =
1 byte
The meaning of B² and the square root of B² are respectively; B × B and B
How to find the square root?
We want to know what B² represents.
Now, B² simply means a product of B × B.
This means that if we want to find the square root of B², the answer will be B because we have seen that B² = B × B
Read more about finding the square root at; https://brainly.com/question/98314
7.1.4 Journal Arithmetic Sequence. Please help me on questions 4 and 5. The picture shows the sequence and what I need to fill out.
Questions:
4. Write the recursive formula for each sequence: an = an – 1 + d.
5. Find the explicit formula for each arithmetic sequence: an = a1 + (n – 1) • d.
Answer:
See below
Step-by-step explanation:
Recursive Formula for Arithmetic Sequences
[tex]a_n=a_{n-1}+d[/tex][tex]a_n[/tex] represents the nth term[tex]a_{n-1}[/tex] represents the preceding term[tex]d[/tex] represents the common differenceExplicit Formula for Arithmetic Sequences
[tex]a_n=a_1+(n-1)d[/tex][tex]a_n[/tex] represents the nth term[tex]a_1[/tex] represents the 1st term[tex]d[/tex] represents the common differenceErnest's Schedule Recursive Formula
We can see that the common difference is [tex]d=0.25[/tex] because for each week, Ernest swims 0.25 more kilometers than the preceding one. Therefore, the recursive formula for Ernest is [tex]a_n=a_{n-1}+0.25[/tex]
Ernest's Schedule Explicit Formula
Given our common difference [tex]d=0.25[/tex] from earlier and the fact that [tex]a_1=1[/tex] is our first term, the explicit formula for Ernest is [tex]a_n=1+(n-1)0.25[/tex]
Denise's Schedule Recursive Formula
We can see that the common difference is [tex]d=0.5[/tex] because for each week, Denise swims 0.5 more kilometers than the preceding one. Therefore, the recursive formula for Denise is [tex]a_n=a_{n-1}+0.5[/tex]
Denise's Schedule Explicit Formula
Given our common difference [tex]d=0.5[/tex] from earlier and the fact that [tex]a_1=1[/tex] is our first term, the explicit formula for Denise is [tex]a_n=1+(n-1)0.5[/tex]
