Answer: Factoring is essentially the reverse of the distributive property. You are basically trying to simplify the polynomial by taking out common factors. You also may try reducing the power (or the highest exponent) of the polynomial with factoring. I would say that factoring is the breaking down of a bigger polynomial into a product of two expressions that are usually multiplied by each other. One specific use of factoring we see a lot is the quadratic formula.
1. Quadratic Factoring --> [tex]x^2+2x-15[/tex] --> we have an [tex]x^2[/tex] but we want there to only be "[tex]x[/tex]"s. Here we need to constant numbers (integers), that multiply together to get [tex]-15[/tex], and add up to [tex]+2[/tex]. (5 and -3)
- [tex]x^2+2x-15[/tex] ==> [tex]x^2+5x-3x-15[/tex] ==> [tex]x(x+5)-3(x+5)[/tex] ==> [tex](x-3)(x+5)[/tex]
Above: We can see that we factor out [tex]x[/tex] from [tex]x^2+5x[/tex] (This shows that we are aiming to break it down to make it easier to evaluate).
Remember: Factoring does not always mean that the polynomial is in a simpler form. There are many situations where factoring is totally unnecessary and complicates the polynomial even more.
--------------------------------------------------------------------------------------------------------------On a separate note: Distributive Property, if you are unsure or not fully sure on what that means, is when you multiply two expressions together to create one expression. Multiple expressions are combining into one.
Determine the unit rate. Use mental math when you can. 6 golf balls for $15
Answer:
1 golf ball : $2.50
Step-by-step explanation:
You can first divide 6 and 15 by 3, and get 2 and 5.Then, you divide 5 by 2, which is 2.5Therefore, the unit rate is 1 golf ball : $2.50In right â†LMN, sin M = 0. 759. What is cos N? A. 0. 121 B. 0. 241 C. 0. 349 D. 0. 651 E. 0. 759.
The correct option is E. 0.579
Given, sin M = 0.759.
We have to find the value of cos N.
Since [tex]\Delta LMN[/tex] is right triangle.
We know that,
[tex]sin(90-\Theta)= Cos \Theta[/tex]
Assuming L is the right angle, So the other two angles are complementary.
Thus, [tex]cos(N) = sin(90-N) = sin(M)[/tex]
Hence,[tex]Cos(N)=Sin(M)[/tex]
Therefore the value of Cos N will be 0.759.
For more details on trigonometric ratio follow the link:
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4. It takes Zack 30 minutes to walk 7.5 blocks to the swimming pool. At this rate, how many blocks can he walk in
one minute?
A. 1 block
30
B. block
7.5
765-30.5775
C. 4 blocks
D.) 5 blocks
Answer:
He can walk 0.25 blocks in 1 minute
Step-by-step explanation:
If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.
7.5/30 = 0.25
Please help ASAP. Trigonometry
Write TWO different equations that you could use to solve for x. You don't need to solve.
Answer:
cos(52°) = 18/x
x = 18·sec(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
In this geometry, that means ...
cos(52°) = 18/x
You can use the relation sec(x) = 1/cos(x) to rewrite this as ...
x = 18·sec(52°)
_____
You can also use the complementary angle and the complementary trig function.
sin(90° -52°) = 18/x
The sum of three consecutive odd numbers is 99.
What is the smallest of the three numbers ?
31
hope this is helpful!
what is the equation of the line with slope -7 which goes through the point (2,5)
Answer:
y=-7x+19
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-7(x-2)
y=-7x+14+5
y=-7x+19
The equation of the line with slope - 7 which goes through the point (2, 5) is
y = - 7x - 19.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through points (2, 5) with a slope of - 7.
∴ 5 = -7(2) + b in slope-intercept form.
5 = - 14 + b.
b = - 19.
y = - 7x - 19.
learn more about lines and slopes here :
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Can someone answer this no bots please I will give you brainliest… please
Answer: Alice
Step-by-step explanation: Alice won because she started furthest From the starting line.
Help me plz I would really appreciate it!
Hope you could get an idea from here.
Doubt clarification - use comment section.
What do you know to be true about the values of p and q?
09
AM
60°
50°
30°
80°
Answer:
p=q
Step-by-step explanation:
all angles together is 180. p=70 degrees and q = 70 degrees
Luis made an error when he used the distributive property to write an equivalent expression.
Which sentence describes the error?
35x−15====(5⋅7)−(5⋅3)5(7−3)5(4)20
Answer:
35x does not equal 5 times 7Step-by-step explanation:
The second step ''(5 × 7) - (5 × 3)'' has an error.
Given that;
Luis made an error when he used the distributive property to write an equivalent expression.
Here the expression is,
35x - 15
It can be written as;
(5 × 7)x - (5 × 3)
Take 5 as common,
5 (7x - 3)
Therefore, the second step ''(5 × 7) - (5 × 3)'' has an error.
To learn more about the equation visit:
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PLEASE NO LINKS AND NO NEGATIVITY
Answer:
$1.20 per chicken
Step-by-step explanation:
[tex]\frac{money} {chickens}[/tex]
[tex]\frac{18}{15}[/tex]
1.2
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
The shortest route from London to Swansea is 180 miles. A lorry is expected to take 4.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 4.5 hours. By how many more mph than the expected speed does the lorry travel?
Answer:
6mph
Step-by-step explanation:
180/4.5=40
180 × (1+15%)=207
207/4.5=46
46-40=6
how do I dilate triangles using scale factors? step by step
Answer:
so first you
Step-by-step explanation:
find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.
HURRRRRYYYYYYYY. I HAVE 5 MINUTES
Answer:
x = - 9/10
workings
2/3 x = - 3/5
multiply by 3/2 on both sides
x = - 9/10
Answer:
2/3x=-3/5
x=-3/5*3/2
x=-8/10
Solve for C: 20 (greater than or equal too sign) C-11
Answer:
C (is greater than it equal to) 31
Step-by-step explanation:
Isolate the c by adding 11 to both sides (cancels out the 11 and turns 20 into 31). Keep the sign the same!! Hope this helped! <33
Does anyone know how to answer this?
Step-by-step explanation:
We first calculate the lenght of the diameter, that is also the lenght of the hypotenuse of the right triangle shown in the figure:
d = [tex]\sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex] cm
The radius of the circle will be half of the diameter: r = d/2 = 2.5 cm
The area of the circle will be: Acircle = pi * r^2 = pi * 6.25 cm^2 = 19.6 cm^2 (circa).
Now from the area of the circle we subtract the area of the square:
Asquare = 4cm * 3cm = 12cm^2
A shaded = Acircle - Asquare = 19.6 cm^2 - 12cm^2 = 7.6 cm^2
Samir bought 6 equally priced pencils for $2.10.
How much will 10 of these pencils cost?
$1.26
$2.63
$2.86
$3.50
Price of 6pencils=2.10
Price of one pencil
[tex]\\ \sf\longmapsto 2.10/6=0.35[/tex]
Price of 10pencils
[tex]\\ \sf\longmapsto 0.35(10)=\$3.5[/tex]
The cost of ten pencils is $3.50.
Given
Samir bought 6 equally priced pencils for $2.10.
Unit rate;A rate is a ratio that is used for comparing two different kinds of quantities which have different units.
The cost of 1 pencil is;
[tex]\rm =\dfrac{2.10}{6}\\\\=0.35[/tex]
Therefore,
The cost of 10 pencils is;
[tex]= 10 \times 0.35\\\\=3.50[/tex]
Hence, the cost of ten pencils is $3.50.
To know more about unit rate click the link given below.
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What is the range of possible sizes for side x?
Answer:
x = 3.96
Step-by-step explanation:
apply the pitagoras theorem
x =
[tex] \sqrt{ {2.8}^{2} + {2.8 }^{2} } [/tex]
If the actual sale for the week is $525 and hector guessed $625, what i the percent error?
Answer:
19.0% (1dp)
Step-by-step explanation:
$625-$525=$100
$100/$525=4/21×100=19.0% (1dp)
A half circle is joined to an equilateral triangle with side lengths of 12 units.
What is the perimeter of the resulting shape? Type your answer in the box below.
Answer:
P = 12 pi units + 24 units.
Step-by-step explanation:
All sides of an equilateral triangle are of the same length. Here that length is 12 units. We take a circle of diameter 12 units and cut it in half through its center. Finally, we join the triangle (remembering that all of the side lengths are 12 units) to the half circle of diameter 12 units.
The half circle portion of the resulting shape has circumference 2(pi)(12 units) divided by 2, or 12 pi units. This is half the formula C = 2(pi)(r). The two non-attached sides of the triangle have a total length of 24 units.
Thus, the perimeter of the resulting figure is P = 12 pi units + 24 units.
Find sin 90° + cos 360° + tan 0°
Answer:
2
Step-by-step explanation:
sin 90 is 1;
cos 360 is cos 0, or 1; and
tan 0 is 0.
Thus, sin 90° + cos 360° + tan 0° = 1 + 1 + 0 = 2
According to building codes, a wheelchair ramp should have a slope of 1/10 or less.
a) Does the wheelchair ramp shown meet the requirements? (The ramp had a height of 75 cm and a length of 800 cm.)
Include calculations to justify your answer.
Using the slope formula, it is found that the slope is of 0.09375 < 0.1, hence, it meets the requirements.
The slope of a ramp is given by it's height divided by it's length, that is:
[tex]m = \frac{h}{l}[/tex]
In this problem:
The height is of 75 cm, hence [tex]h = 75[/tex].The length is of 800 cm, hence [tex]l = 800[/tex].Then, the slope is given by:
[tex]m = \frac{h}{l} = \frac{75}{800} = 0.09375[/tex]
The slope is of 0.09375 < 0.1, hence, it meets the requirements.
A similar problem about the use of slopes in ramps is given at https://brainly.com/question/18090623
The sum of two numbers is 25. One number is twice the seond number plus seven.
What are the two numbers?
3y=6
Find the slope of the line described by each equation
Which one cuz they are in different order.!!!
Answer:
wot
Step-by-step explanation:
Simplify.
(–28xy) ÷ (–4)
−7xy
17ab
−17ab
7xy
If any doubt leave a comment
PLEASEE HELP ME ITS EAZY
If its easy, why don’t you do it yourself??
I just need the answer to the first question (16) plz thx
A)Evaluate g(0)
B)Find x if g(x)=0
C) domain and range
Answer:
a) g(0) = -4
b) x = -2 or +2 for g(x) = 0
c) domain: all real numbers; range: y ≥ -4
Step-by-step explanation:
a)g(0) is the value of the function when x=0. That is where the function crosses the y-axis. g(0) = -4.
__
b)g(x) = 0 where the graph crosses the x-axis. The x-values there are ...
x = -2 and x = 2
__
c)The domain is the horizontal extent of the graph. Here, we assume the graph extends to infinity both in the upward direction and to the left and right. Thus the horizontal extent (domain) is from -∞ to +∞, or "all real numbers."
The point where the graph crosses the y-axis is a minimum. There are no y-values below that point. So, the vertical extent (range) of the graph is from y=-4 to +∞.
y ≥ -4 . . . . range
i know the pythagorean theorem
Answer:
I know the pythagorean theorem
Step-by-step explanation:
ok
When is it best to solve a system of equations using substitution?
Answer:
The easiest way to solve this system would be to use substitution since x is already isolated in the first equation. Whenever one equation is already solved for a variable, substitution will be the quickest and easiest method