polynomial division
(4x^2 +7x +6) ÷(x+ 2)
Answer:
4x2 + 7x - 6
————————————
x - 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are many methods but I give you the factorisation:
[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]
So
[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]
That means the quotient is 4x-1 and the remainder is 8.
Find the value of x. Will mark brainliest.
Answer:
x = 8
Step-by-step explanation:
What is the point-slope form of a line with slope -3 that contains the point
(10,-1)?
A. y+ 1 = 3(x + 10)
B. x + 1 = -3(y-10)
C. y + 1 = -3(x-10)
D. y + 1 = 3(x-10)
Answer:
C
Step-by-step explanation:
Since we have a point and a slope, we can use the point slope formula.
The point slope formula is:
[tex]y-y_{1} =m(x-x_{1})[/tex]
where m is the slope, and (x1, y1) is the point given.
We know that the slope is -3, and the point given is (10, -1)
Therefore, our m is -3, x1 is 10, and y1 is -1.
y- -1 = -3(x-10)
y--1 is the same as y+1
y+1= -3(x-10)
Therefore, choice C is correct.
Tomas selects one of these garments at random. Let AAA be the event that he selects a blue garment and let BBB be the event that he chooses a shirt.
Please help!!!
Answer:
can u explain it more lol
Step-by-step explanation:
1)The probability of choosing a blue garment is 1/2
2)The probability of choosing a shirt is 1/3.
Thomas has 1 blue shirt
Thomas has 1 green shirt
Thomas has 1 blue hat
Thomas has 1 green scarf
Thomas has 1 blue pair of pants
Thomas has 1 green pair of pants
So, number of blue garments = 3
Number of shirts = 2
Total garments =6
What is probability?Probability is the measure of the likelihood of an occurrence.
P(event) = Favorable outcomes / Total outcomes
P(blue garment) = 3/6 =1/2
P(shirt) = 2/6 =1/3
Hence, 1)The probability of choosing a blue garment is 1/2
2)The probability of choosing a shirt is 1/3.
To get more about probability visit:
https://brainly.com/question/24756209
Simplify the expression
Answer:
x^(3)y^(4)\sqrt(2)
Step-by-step explanation:
which fraction is equal to 1/28?
Answer: 2/56
Explanation: I doubled both sides
Solve for the following system of equations by using the substitution method for x-y=0 and x-y-2=0
Answer:
The picture doesn't pop up.
Step-by-step explanation:
On the beach, a cable is attached to the pier. The line formed by the cable has a slope of 3/5. Is the triangle formed by the pier, the beach, and the cable similar to the triangle formed by the boat, the parasailer, and the rope?
Answer:
That's kinda hard bro u sure ur in middle school
Step-by-step explanation:
The base of a rectangular prism has an area of 26.25, and the height of the prism is 4.5. What is the volume? Round to the nearest hundredths.
The right answer is 118.
Look at the attached picture
Hope it will help you....
Good luck on your assignment.
Answer:
[tex]v = 118.25[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Can someone please help me with this.
Answer:
Take the chicken across, and come back, then take the corn across, and come back with the chicken. Then take the fox across and come back. Then take the chicken across!
Step-by-step explanation:
Mark at brainliest if this helps please
Answer:
Well, first you can make the girl take the chicken across the river, leaving the fox with the bag of corn since there will be no harm. Then, she should leave the chicken on the far side and row back across the river. Then she should take the fox across the river. Once she reaches the other side he drops off the fox,however, takes the chicken with her and rows back. Next, she drops off the chicken on the starting side and takes the bag of corn across the river. She then leaves the fox and the bag of corn together and rows back to pick up the chicken, which completes the crossing. Hope it helped!
Step-by-step explanation:
help me please!!!!!!!
Answer:
35 x 10^7
Step-by-step explanation:
[tex]5 * (7 \times {10}^{7} \\ 35 \times {10}^{7} [/tex]
Answer:
3.5*10^8
Please look at the photo that’s the answer.
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Select the table that represents a linear function.
Answer:
D
Step-by-step explanation:
A linear function has a constant slope. Meaning that for any equal change in x, there will be an equal change in y.
Eric needs a $1,500 loan in order to buy a drone. Which loan option would cost him the MOST in interest?
A) A 24-month loan with a 6.25% annual simple interest rate.
B) A 30-month loan with a 6.00% annual simple interest rate.
C) A 36-month loan with a 4.00% annual simple interest rate.
D) A 42-month loan with a 3.75% annual simple interest rate.
Answer:
Pretty sure its A
Step-by-step explanation:
wait hold on im wrong
how do you delete an answer
Use the Counting Principle to find the probability.
rolling a 1 on each of 4 number cubes?
Answer:
1 / 1296
Step-by-step explanation:
Rolling a 1 for one of the cubes is 1 / 6
1 / 6 * 1 / 6 * 1 / 6 * 1 / 6 = 1 / 1296
Answer:
1 / 1296
Step-by-step explanation:
We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on 1 cubes.
We know the probability of rolling a 4 on one cube will be . the probability of rolling 4 in each of the individual cubes will be .
But we want 4 to be rolled on 1 cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the 1 cube is which simplifies to . 1 / 1296
Hope this helps
Solve for x.
x + 23 = -22
Enter your answer in the box.
Answer:
X= -45
Step-by-step explanation:
Subract 23 from both sides to solve for x.
Answer:
x = -45
Step-by-step explanation:
x + 23 = -22
x = -22-23
x = -45
Find the area of the shaded region. Round your answer to the nearest hundredth.
Answer:
86
Step-by-step explanation:
the radius of one circle is 5. the area of a circle is pi x r^2. 5 times 5 is 25. 25 times 3.14 is 78.5. since there are 4 circles, you must multiply 78.5 by 4, which is 314. Next, find the area of the square. 20 times 20 is 400. to find the area of the shaded part, subtract 314 from 400. The answer is 86.
If A = (0,0) and B = (6,3), what is the length of AB?
O A. 6.24 units
O B. 7.73 units
O C. 5.20 units
O D. 6.71 units
Answer:
D. 6.71 units
Step-by-step explanation:
In order to solve this, we need to use the distance formula, which states that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Here, we have (0, 0) and (6, 3), so:
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
d = [tex]\sqrt{(3-0)^2+(6-0)^2}=\sqrt{9+36} =\sqrt{45} =3\sqrt{5}[/tex] ≈ 6.71
The answer is thus D.
Answer:
D 6.71 units
Step-by-step explanation:
AB² = (6 - 0)² + (3 - 0)²
AB² = 36 + 9
AB² = 45
AB = 3sqrt(5)
Approximately 6.71
what is the median of 40,33,37,54,41,34,27,39,35
Answer:
It's 37
Step-by-step explanation:
The given data set is ;
40,33,37,54,41,34,27,39,35
We arrange the data set in ascending order to obtain;
{27,33,34,35,37,39,40,41,54}
The median is the middle number {37}
place holder for the question
Answer:
The area of the trapozoid would be 192 inches.
Step-by-step explanation:
Here are the steps on how to find the area of a trapozoid.
Add the two bases together. 14 + 18 = 32Divide that by 2. 32/2 = 16Then lastly multiply that by the height. 16 x 12 = 192.I hope I helped
brainliest would be appreciated.
Aisha is playing a game in which she can gain or lose points on each turn. The table below
shows the points she scores on each of four turns in the game.
Aisha states that her highest score is on Turn 3, because 16 is greater than 3, 10, or 9. Use the
drop-down menus to explain Aisha's mistake.
Answer:compares the absolute value ,score of 16 represents greatest lost ,highest score farthest away from 0, on a number line that number is 10
Step-by-step explanation:ig/ 6k.mar
A score of -16 represents the lowest of points for these four turns.
The number for Aisha's highest score will be turn 2 on the number line.
That number is 10.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
Since the options of the drop down menu are not included, you should choose any option similar to lowest.
Aisha's highest score was obtained in turn 2 and that is 10.
we have,
Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.
Hence, A score of -16 represents the lowest of points for these four turns.
The number for Aisha's highest score will be turn 2 on the number line.
That number is 10.
To learn more on number click:
brainly.com/question/17429689
#SPJ7
The equations 2 x minus 5 y = negative 5, 11 x minus 5 y = 15, 9 x + 5 y = 5, and 14 x + 5 y = negative 5 are shown on the graph below.
On a coordinate plane, there are 4 lines. Green line goes through (2, 1.5) and (0.5, negative 2). Blue line goes through (0, 1) and (0.5, 0). Pink line goes through (negative 1, 2), and (0, negative 1). Orange line goes through (0, 1) and (2, 1.75).
Which system of equations has a solution of approximately (–0.6, 0.8)?
Answer:
[tex]14x+5y=-5\\2x-5y=-5[/tex]
Step-by-step explanation:
The given equations are
[tex]2x-5y=-5\\11x-5y=15\\9x+5y=5\\14x+5y=-5[/tex]
Let's demontrate that the system
[tex]14x+5y=-5\\2x-5y=-5[/tex]
Has (-0.6, 0.8) as solution, approximately.
If we sum those equations, we have
[tex]16x=-10\\x=\frac{-10}{16} \approx -0.625[/tex]
Then, we use this value to find the other one
[tex]2x-5y=-5\\2(-0.625)-5y=-5\\-5y=-5+1.25\\y=\frac{-3.75}{-5} \approx 0.75[/tex]
As you can see, the answers aproximates to (-0.6, 0.8).
Therefore, the right system is
[tex]14x+5y=-5\\2x-5y=-5[/tex]
Answer:
B
Step-by-step explanation:
Evaluate the expression.
-66/(-3) + (-4) - (-5)
Answer:
23
Step-by-step explanation:
Simplify the following:
(-66)/(-3) - 4 - -5
The gcd of -66 and -3 is -3, so (-66)/(-3) = (-3×22)/(-3×1) = (-3)/(-3)×22 = 22:
22 - 4 - -5
-(-5) = 5:
22 - 4 + 5
22 + 5 = 27:
27 - 4
| 2 | 7
- | | 4
| 2 | 3:
Answer: 23
What is 2.08x10^7 written in standard notation?
Answer:
D) 20,800,000
Step-by-step explanation:
Mark had 45 football cards. Josh had twice as many football cards as Mark. Jo
then bought 5 more football cards. Which equation can be used to find f, the
number of football cards Josh has now?
A 2 x 45 + 5 = f
B 2 x 45-5 = f
C 2 + 45 x 5 = f
D 2 + 45 + 5=f
can someone help me please
Answer:
I think It will be A. I’m trying my best to help
Step-by-step explanation:
A restaurant added a new outdoor section that was 40 ft'. It
was 4 feet wide. How long is their new section?
Answer: 10
Step-by-step explanation:40 ft is the height and 4is the width so divide 40 by 4 and 10 is your answer
Bill is going to build a ramp to his front
door. He knows that the anele of elevation
for the ramp should be 13° and that that
base of the door is 9 ft, above the ground.
How long is the ramp?
Answer: Cos13= 9/x x is about 9.2
Step-by-step explanation: cos13 =about .97 9/9.2=.97
Name the values represented by the box plot.
Lower quartile:
Upper quartile:
Median:
Answer:
Lower quartile=46
Upper Quartile=52
Median=48
Step-by-step explanation:
Look at the three dots on/in the plot the first one is the lower quartile and the middle is the median and the last one in the box plot (52)is the upper quartile, the ones on the outsides are the minimum and the maximum.
Simplify the expression -1/2 (-5/6 + 1/3)
A. -5/12 + 1/3
B. 5/12 - 1/6
C. -5/12 + 1/6
D. 5/12 + 1/3
Answer:
5/12 - 1/6
Step-by-step explanation:
-1/2( -5/6+1/3)
Distribute
-1/2*-5/6 -1/2*1/3
5/12 - 1/6
Morgan works at a store that sells clothing accessories. The supply function
for baseball caps is p= Q-4, where Pis the price and Q is the quantity of
baseball caps. If Morgan sells the baseball caps for $18 apiece, how many
baseball caps will the store supply?
A. 18 baseball caps
B. 22 baseball caps
C. 26 baseball caps
D. 4 baseball caps
Answer:
The number of supply of base balls is 22
Step-by-step explanation:
Given
P = Q - 4
Price = $18
Required
Number of supply
The relationship between price and quantity is given to be P = Q - 4 where price is represented by P and Q represents the quantity.
To get the quantity supply when price is $18, all you need to do is to substitute 18 for P in the above equation;
Thus, giving:
18 = Q - 4
Make Q the subject of formula
Q = 18 + 4
Q = 22 quantities
Hence, the number of supply of base balls is 22
Answer:
B. 22 baseball cap
Step-by-step explanation:
P=Q-4
Make Q the subject of the formula
P+4=Q
Therefore,
Q=p+4
If Morgan sells the baseball cap for $18
Q=18+4
Q=22
Morgan store will supply 22 baseball caps
Please help me!! I don't get this question! I will mark Brainliest!
Circle A has a diameter of 4 inches, a circumference of 12.56 inches, and an area of 12.56 square inches. The diameter of circle B is 2 inches, the circumference is 6.28 inches, and the area is 3.14 square inches. SHOW ALL STEPS.
Part A: Using the formula for circumference, solve for the value of pi for each circle. (10 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (10 points)
Part C: What observation can you make about the value of pi for circles A and B? (10 points)
Answer:
Part A:
Formula for circumference: C = diameter x pi
=> pi = C/diameter
=> pi(A) = 12.56/4 =3.14
=> pi(B) = 6.28/2 = 3.14
Part B:
Formula for area: A = radius^2 x pi = (diameter/2)^2 x pi
=> pi = A/(diameter/2)^2
=> pi(A) = 12.56/(4/2)^2 = 12.56/4 = 3.14
=> pi(B) = 3.14/(2/2)^2 = 3.14/1 = 3.14
Part C:
pi(A) = pi(B) = 3.14 in both ways of calculation derived from circumstance and area.
=> pi is a constant value: 3.14
Answer:
A) pi = 3.14
B) pi = 3.14
C) pi has the same value for all calculations, pi is a constant
Step-by-step explanation:
Circumference = pi × d
12.56 = 4 × pi
pi = 3.14
6.28 = 2 × pi
pi = 3.14
Area = pi × r²
12.56 = pi × (4/2)²
12.56 = 4pi
pi = 3.14
3.14 = pi × (2/2)²
3.14 = pi
