Answer:
The other factor is 4x-3
Step-by-step explanation:
We want to divide 4x^2 + 5x -6 by x + 2
Unfortunately, we cannot say if x + 2 is a factor or not.
To know if it’s,
we set x + 2 = 0 and this means x = -2
We substitute this into the larger polynomial.
This gives;
4(-2)^2 + 5(-2) -6 = 16 -10-6 = 0
What this actually means is that it is a factor of it since it leaves no remainder.
The issue now is finding this other factor.
So let’s use the long division
(x + 2). _| 4x ^2 + 5x -6
Kindly note that 4x^2/x = 4x, we now multiply this by (x+2) so we get 4x(x+2) = 4x^2 + 8x which we will subtract from 4x^2 + 5x -6
_ 4x_
(x+2). ___|4x^2 + 5x -6
-(4x^2 + 8x)
-3x -6
next is -3x/x = -3
_-4x-3_
(x+2). _| 4x^2 + 5x-6
-(4x^2 +8x)
__________
-3x-6
-(-3x-6)
_________
0
So the other factor is 4x-3
Find the eight term of the geometric sequence for which a_1 = 5 and r = -2.
Answer:
T8 = -640Step-by-step explanation:
[tex]a =5\\r = -2\\Tn = ar^{n-1} \\T8 =5(-2)^8^-^1\\T8 = 5(-2)^7\\T8 = 5* -128\\T8 = -640[/tex]
Answer:
For a geometric sequence
U(n) = ar^n-1
where
a = first term
r = common ratio
n= number of terms
From the above statement
a = 5
r = -2
n = 8
U(8) = 5(-2)^8-1
= 5(-2)^7
= - 640
Hope this helps
Given AD || GJ. Refer to the figure and provide an appropriate name for BCF and GHF.
A. alternate interior angles
B. same-side interior angles
C. corresponding angles
D. alternate exterior angles
Answer:
C. Corresponding angles
Step-by-step explanation:
Corresponding angles are angles formed by a transversal on the same side of the transversal and on the same side of each parallel lines.
help i don't understand
Answer:
x = mn+y
Step-by-step explanation:
=> [tex]m = \frac{x-y}{n}[/tex]
Multiplying n to both sides
=> x-y = mn
Now, Adding y to both sides
=> x = mn+y
Answer:
x = m n + y
Step-by-step explanation:
Trig work i don’t understand. pls help
Answer: A
Step-by-step explanation:
So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.
To find H we need to apply trigonometry solve for h the height.
As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is going to be using the sin formula opposite over hypotenuse.
[tex]sin(26)=\frac{h}{25}[/tex] solve for h by multiplying both sides by 25.
h= 25 sin(26)
h= 10.96 is being rounded to the nearest hundredth because that is essential
Now we know H is equal to 10.96 which is the Height so now we have all the information we need the height and the base.
Multiply 10.96 by 32 and divide it by 2.
10.96 * 32 = 350.72
350.72 /2 = 176.36
The best answer is A because that is the only best approximation to 175.35.
What's the numerator for the following rational
expression?
Answer:
x + 3
Step-by-step explanation:
Since the fractions have the same denominator we can add them. Adding them gives us (x + 3) / y so the numerator is x + 3.
Answer:
x + 3
Step-by-step explanation:
Which is the correct equation for calculating the kinetic energy of an object? K times E = m times g times h. K times E = one half m v squared. K times E = one half a t squared. K times E = one quarter g squared.
Answer:
KE = 1/2mv²
Step-by-step explanation:
The answer above is the formula for calculating kinetic energy. It is wise to remember it.
Answer:
Here is the answer np! :)
Step-by-step explanation:
Which function is represented by this graph?
Answer:
Option B.
Step-by-step explanation:
From the given graph it is clear that it is a V-shaped graph. It means, it is the graph of absolute function.
The vertex form of an absolute function is
[tex]y=a|x-h|+k[/tex]
where, a is a constant and (h,k) is the vertex.
From the given graph it is clear that the vertex is at (7,-3). It means h=7 and k=-3.
[tex]y=a|x-(7)|+(-3)[/tex]
[tex]y=a|x-7|-3[/tex] ...(1)
It passes through (4,0).
[tex]0=a|4-7|-3[/tex]
[tex]3=3a[/tex]
[tex]1=a[/tex]
Put this in (1).
[tex]y=1|x-7|-3[/tex]
[tex]y=|x-7|-3[/tex]
Therefore, the correct option is B.
Which of these is a geometric sequence?
The answer would be letter B
HELP ME PLEASEEEEEEEE
X Y
-2 11
-1 7
0 3
1 -1
2 -5
-2 = 16 times minus 2 plus 4y equals to 12
-1 = 16 times minus 1 plus 4y equals to12
0 = 16 times 0 plus 4y equals to 12
1 = 16 times 1 plus 4y equals to 12
2 = 16 times 2 plus 4y equals to 12
Therefore,
-2 = 16 * -2 + 4y = 12
-32 + 4y = 12
4y = 12 + 32
4y = 44
y = 44/4
y = 11
-1 = 16 * -1 + 4y = 12
-16 + 4y = 12
4y = 12 + 16
4y = 28
y = 28/4
y = 7
0 = 16 * 0 + 4y = 12
0 + 4y = 12
4y = 12 + 0
4y = 12
y = 12/4
y = 3
1 = 16 * 1 + 4y = 12
16 + 4y = 12
4y = 12 - 16
4y = -4
y = -4/4
y = -1
2 = 16 * 2 + 4y = 12
32 + 4y = 12
4y = 12 - 32
4y = -20
y = -20/4
y = -5
A car is traveling at a speed of 75 miles per hour. What is the car's speed in miles per minute? How many miles will the car travel in 20 minutes? Do not round your answers.
Answer:
1.25MilesPerMinute
Step-by-step explanation:
Solve: -4 < -2x < 10
Explanation:
The expression -2x means -2 times x. To undo this, we divide all parts of the inequality by -2. Dividing by a negative number will flip the inequality sign. We go from "less than" to "greater than"
-4 < -2x < 10
-4/(-2) > x > 10/(-2) .... inequality signs flip
2 > x > -5
-5 < x < 2
This unknown number x is between -5 and 2. It cannot equal -5. It cannot equal 2.
what is the 8th term of this sequence 1, -1/2, 1/4, -1/8
Answer:
-1/128
Step-by-step explanation:
1,-1/2,1/4,-1/8,1/16,-1/32,1/64,-1/128
Please help ! Need answers. ASAP I’m not sure how to do them . Please give answers to both questions:)
Answer:
a= 30 b=-78
Step-by-step explanation:
Answer:
1) Option 1
2) Option 2
Step-by-step explanation:
1) 2df+3de
Where d = 10, e = -1 and f = 3
=> 2(10)(3) + 3(10)(-1)
=> 60 - 30
=> 30
2) -2ghi + 3hi
Where g = -5, h = -3 and i = 2
=> -2(-5)(-3)(2) + 3(-3)(2)
=> -60 - 18
=> -78
A raft travels down river at a rate of 6 miles per hour. The total distance d in miles that the raft travels is equal to the rate times the number of hours h. What is the independent variable? * What is the dependent variable? * Write an equation for this situation. (using h and d) *
Answer:
d=6h
Step-by-step explanation:
Speed of the raft= 6 miles per hour
Total distance (d) of the raft= rate × number of hours
d=r*h
Independent variable is the number of hours(h)
Dependent variable is the distance (d)
Equation for the situation
d=r*h
d=distance
r=rate
h=number of hours
From the question,
r=6 miles per hour
Therefore,
The equation is
d=r*h
d=6*h
d=6h
The sum of all digits in the numbers 44, 45 and 46 is 27 because (4+4)+(4+5)+(4+6)=27. Find the sum of digits in the first 25 counting numbers: 1, 2, 3, …, 25.
In other words....
1+2+3+4+5+6+7+8+9+1+0+1+1+1+2+1+3+1+4+1+5+1+6+1+7+1+8+1+9+2+0+2+1+2+2+2+3+2+4+2+5
Answer:
The sum of all digits in the first 25 counting numbers is 127
Hope this helps
Please help me find how to solve . The area of one is 196 with a side length of 21 in , the other has a side length of 15in
Answer:
Area =100 in^2
Step-by-step explanation:
scale factor of the triangles is :15/21=5/7
if two similar shape has a scale factor a/b then the area is a^2:b^2
area of first shape/area of second shape=5/7
x/196=(5)²/(7)²
49x=4900
x=4900/49=100
area=100
check: 100/196=25/49=a^2/b^2
i hope it is right
Answer:
100 in.2
Step-by-step explanation:
Simon has 160160160 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by A(x)=-x(x-80)A(x)=−x(x−80)A, left parenthesis, x, right parenthesis, equals, minus, x, left parenthesis, x, minus, 80, right parenthesis What width will produce the maximum garden area?
The width for maximum area will be 40 metres.
Given,Simon has 160 metres of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width x(in meters) is modeled by,
[tex]A(x)=-x(x-80)[/tex].
We know that perimeter of rectangle will be,
[tex]P=2(L+B)\\[/tex]
Here p is 160,
So,[tex]160=2(L+B)[/tex]
[tex]\L+B= 80[/tex]
Now we have the sum of length and width off the rectangular garden is 80.
Since,
[tex]A(x)=-x(x-80)\\[/tex]
So, [tex]A(x)=x(80-x)[/tex]
We know that the area of rectangle will be the product of length and , here in question width is [tex]x[/tex] so the length will be[tex](80-x)[/tex].
Now we have to calculate the width for which the area will be maximum.
The area will be maximum when the first derivative of area function will becomes zero.
So,
[tex]\frac{\mathrm{d} }{\mathrm{d} x} A(x)=\frac{\mathrm{d} }{\mathrm{d} x}(-x)(x-80)[/tex]
[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=\frac{\mathrm{d} }{\mathrm{d} x}(-x^{2} +80x)[/tex]
[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=-2x+80\\[/tex]
For maximum area ,
[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=0[/tex]
Hence,
[tex]-2x+80=0\\x=40[/tex]
Hence the width for maximum area will be 40 metres.
For more details follow the link:
https://brainly.com/question/16545343
The maximum area is 1600 sq meters.
Step-by-step explanation:The garden's area is modeled by a quadratic function, whose graph is a parabola.
The maximum area is reached at the vertex.
So in order to find the maximum area, we need to find the vertex's y-coordinate.
We will start by finding the vertex's x-coordinate, and then plug that into A(x).
The vertex's x-coordinate is the average of the two zeros, so let's find those first.
A(x)=0 -x(x-80)=0
↓ ↓
-x=0 or x-80=0
x=0 or x=80
Now let's take the zeros' average:
[tex]\frac{(0)+(80)}{2}=\frac{80}{2}=40[/tex]
The vertex's x-coordinate is 40. Now lets find A(40):
A(40)= -(40)(40-80)
= -(40)(-40)
= 1600
in conclusion, the maximum area is 1600 square meters.
14.3p – 32.24 = 127.92 14.3p – 32.24 + 32.24 = 127.92 + 32.24 14.3p = 160.16 StartFraction 14.3 p Over 14.3 EndFraction equals StartFraction 160.16 Over 14.3 EndFraction.
Answer:
p = 11.2
Step-by-step explanation:
The computation is shown below:
Data provided in the question
2.6(5.5p – 12.4) = 127.92
Now
Distributive Propertyis
14.3p - 32.24 = 127.92
Addition Property is
14.3p = 127.92 + 32.24
Division Property is
14.3p ÷ 14.3 = 160.16 ÷ 14.3
p = 11.2
We simply find the value of p by applying the distributive property, addition property, and the division property and the same is to be considered
Answer:
The Answer is 11.2
Step-by-step explanation:
Find the product. Simplify if possible.
2
49
x7
Answer:
1743
Step-by-step explanation:
did the math
Answer:
154/9
Step-by-step explanation:
so lets put this in multiplacation form
[tex]2\frac{4}{9} * 7[/tex]
Then put the 2 4/9 in mixed number form
22/9* 7 or...
22/9*7/1
154/9
Work out the sum of the interior angles of any quadrilateral.
Answer:
The sum of the interior angles is 360 degrees.
Step-by-step explanation:
Houses in an estate are all identical. However, a person can purchase a new house with some, all, or none of a set of options, as indicated by the set below. How many options are there for purchasing a house in this community? flake view, screened-in balcony, upgraded landscaping, pool} options for purchasing a house in the community. There are
Answer:
120
Step-by-step explanation:
The options are:
flake view, screened-in balcony, upgraded landscaping, pool - 5 in total
Using the fundamental counting principle formula - n! where n is the number of elements = 5, we have
n! =5! = 5x 4 x 3 x 2 x 1 = 120.
There are 120 120 options for purchasing a house in the community.
please help me! What is the approximate value of y? Round to the nearest tenth. A.) 3.1 B.) 3.9 C.) 4.6 D.) 5.4
Answer:
Option (C). 4.6 cm
Step-by-step explanation:
In the figure attached,
A right triangle has been given with hypotenuse = 6 cm, leg 1 = x cm, leg 2 = y cm and one angle = 50°
By applying Sine rule in this triangle,
Sin(50)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{\text{Leg 1}}{\text{Hypotenuse}}[/tex]
Sin(50)° = [tex]\frac{x}{6}[/tex]
x = 6(Sin50°)
x = 4.59
x ≈ 4.6 cm
Therefore, Option (C) will be the answer.
4.- En una pastelería han preparado 30 pasteles. Los van a colocar en bandejas de forma que en cada bandeja haya el mismo número de pasteles y no sobre ninguno. ¿De cuántas formas los puede colocar?
Answer:
7 formas
Step-by-step explanation:
En la pastelería, se han preparado 30 pasteles.
Cada bandeja contendrá la misma cantidad de pasteles.
Para encontrar de cuántas maneras puedes ponerlos, tenemos que encontrar los factores de 30. Ellos son:
1, 2, 3, 5, 6, 10, 15, 30
Esto significa que podemos tener:
30 bandejas que contienen 1 bandeja cada una
15 bandejas con 2 tortas cada una
10 bandejas con 3 tortas cada una
6 bandejas con 5 tortas cada una
5 pasteles que contienen 6 pasteles cada uno
3 bandejas con 10 pasteles cada una
2 bandejas con 15 tortas cada una
Esto significa que hay 7 formas de colocar los pasteles.
How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from
yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer
Manatee Springs
Elephant
House
3,500 yds
- 200 yds
Tran Depot
2000
Bird Sanctuary
Main Gate
(SHOW WORK)
Answer:
6.04 km
Step-by-step explanation:
From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.
Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:
[tex]\frac{3500\ yards}{2000\ yards} = \frac{4200\ yards}{x}\\ x= \frac{4200\ yard*2000\ yards}{3500\ yards}=2400\ yards[/tex]
x = 2400 yards.
The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards
The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km
The distance from the main gate to Manatee Springs = 6.04 km
To model the problem containing an unknown number, translate the statement into an equation. Sixteen is five less than a number. Which steps would you take to translate the statement? .
Answer:
21; steps are included:
Step-by-step explanation:
lets put this unknown number as a variable (n)
now lets write the equation out: (n=the unknown number)
16 = n-5
To keep the equation balanced we add 5 to both sides:
16+5=n-5+5
21=n
Now that means the unknown value is 21
Hope this helped
Answer:
16 = x - 5
Step-by-step explanation:
We start with 16. We then hear "is", which means equals. So we put an equal sign. Next, we hear "five less then", which means we will subtract 5 from something. We then learn the something will be an unknown number, which we will represent with the variable x. Now we write subtraction of 5 from x. 16 = x - 5
Please help with the right answer.
Convert StartFraction 3 pi Over 8 EndFraction radians to degrees
Answer:
67.5 deg
Step-by-step explanation:
A full circle is 2(pi) radians. It is also 360 degrees.
2(pi) radians = 360 deg
pi radians = 180 deg
3(pi)/8 rad * (180 deg)/(pi rad) = 67.5 deg
A farmer wants to estimate the number of rabbits on his farm.
On Monday he catches 120 rabbits.
He puts a tag on each rabbit.
He then lets the rabbits run away.
On Tuesday the farmer catches 70 rabbits.
15 of these rabbits have a tag on them.
Work out an estimate for the total number of rabbits on the farm.
You must write down any assumptions you have made.
(4marks)
Hello can someone help me with this question my assumption is : the population has not changed- no member have joined or left the population , there are no deaths or births.
Answer:
There is a possibility of births and deaths. This also, informs us of a larger population.
Step-by-step explanation:
This is because there are 333% more rabbits without a tag than with one. This giving us the possibility shown above!
Mark as brainliest
Answer: 560 total rabbits
Step-by-step explanation:
Your assumptions are great but you can also add the assumption that the ratio of the rabbits caught on Monday is the same ratio of the rabbits caught on Tuesday.
[tex]\text{Tuesday:}\quad \dfrac{15\ tags}{70\ rabbits}=\dfrac{3\ tags}{14\ rabbits}\ \leftarrow simplified[/tex]
Assumption:
3/14 of the total rabbits on the farm = 120 tagged on Monday
Let r represent the total rabbits on the farm
then (3/14)r = 120
r = 120(14/3)
r = 560
What is the product of (-a + 3)(a + 4)?
Answer:
-a^2 -a + 12
Step-by-step explanation:
You have to multiply all four together.
-a times a = -a^2
-a times 4 = -4a
3 times a = 3a
3 times 4 = 12
Add them all together =
-a^2 - a + 12
The answer is :
-a^2-a+12
Step-by-step explanation:
-a(a) is -a
-a(4) is -4a
3(a) is 3a
3(4) is 12
So,
-a^2-4a+3a+12
Simplify
-4a+3a is -a bcz -4+3 is -1
Final answer
a^2-a+12
Quickly for the brainiest one and 6 points plus 5 stars.
Answer:
Find out how much is 1
Multiply 1/2 by 2 to get 1 and multiply 14 by 2 so the ratio is equal
1/2 x 2 = 1
14 x 2 = 28
so 1 = 28
Multiply everything 28
I'm pretty sure I have it in order clockwise
3/14 x 28 = 84/14 = 6/1 = 6
1/14 x 28 = 28/14 or 2
5/7 x 28 140/7 = 20
3/7 x 28 = 84/7 = 12
2/7 x 28 = 56/7 = 8
1/7 x 28 = 28/7 = 4
3/4 x 28 = 84/4 = 21
1/4 x 28 = 28/4 = 7
I'm guessing the middle would be 1 is 28
Hope this helps
Step-by-step explanation: