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Zeros :
[tex]x = - 2[/tex]
[tex]x = 4[/tex]
[tex]x = 7[/tex]
Thus ;
[tex]x + 2 = 0[/tex]
[tex]x - 4 = 0[/tex]
[tex]x - 7 = 0[/tex]
Multiply above equations :
[tex](x + 2)(x - 4)(x - 7) = 0[/tex]
Expand
[tex]( {x}^{2} - 2x - 8)(x - 7) = 0[/tex]
[tex] {x}^{3} - 7 {x}^{2} - 2 {x}^{2} + 14x - 8x + 56 = 0 \\ [/tex]
[tex] {x}^{3} - 9 {x}^{2} + 6x + 56 = 0[/tex]
[tex]y = f(x) = {x}^{3} - 9 {x}^{2} + 6x + 56 \\ [/tex]
Done...
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how do I solve this?
Answer:
Step-by-step explanation:
sin(x) = (17/19)
sin inverse of (17/19) = x
x = 63.45°
At Darias school, 3/8 of the students are left handed. If there are 320 students, how many of them are left handed?
Answer:
120
Step-by-step explanation:
to get 1/8 of the total students, do 320 divided by 8[40].
3/8 is 1/8 x 3 so 40x3 = 120
Regular hexagon ABCDEF is inscribed in a circle with center H.
a. What is the image of segment BC after a 120-degree clockwise rotation about point H?
b. What is the image of segment BC after a reflection over line FC?
Answer both questions in the box below.
plz help me
I'm uploading a picture because it thought it had innapropriate words for some reason.
The transformation of a shape includes rotating and reflecting the shape;
The image of BC after [tex]120^o[/tex] is FAThe image of BC reflecting over FC is DC.(a) Image of BC after [tex]120^o[/tex] rotation
First, we calculate the angle of rotation, to make the hexagon lie onto itself
[tex]\alpha = \frac{\theta}{n}[/tex]
Where:
[tex]\theta = 360^o[/tex] --- angle at the center of the hexagon and the circle
[tex]n = 6[/tex] -- sides of hexagon
So, we have:
[tex]\alpha = \frac{360^o}{6}[/tex]
[tex]\alpha = 60^o[/tex]
This means that a [tex]60^o[/tex] rotation would make the hexagon lie onto itself.
We have that:
[tex]120^o = 60^o \times 2[/tex]
This means that the shape can be rotated [tex]60^o[/tex] twice to achieve the [tex]120^o[/tex] rotation.
The image of BC at the first [tex]60^o[/tex] rotation is AB
The image of BC at the next [tex]60^o[/tex] rotation is FA
Hence, the image of BC after [tex]120^o[/tex] is FA
(b) Image of BC after reflection over line FC
Line FC divides the hexagon into equal halves.
So, when reflected over line FC, each segment would be flipped on the opposite segment.
The opposite of segment BC is DC.
Hence, the image of BC reflecting over FC is DC.
Read more about transformations at:
https://brainly.com/question/11707700
ANSWER PLZ ASAPPP
PICTURES IS BELOW
Answer:
a. 96
Step-by-step explanation:
because a triange is to 180 degrees
Please give Brainliest thank you!
1 Points
MULTIPLE CHOICE
Question 5
Suppose you are told that 1/2 = 3' on a scale drawing. If there is an object that
measures 5" in the drawing, what would its actual length be?
A
30
B В
4.5
32
D
7.5
HELP PLEASE URGENT I BEG OF U HELP WILL MARK AND 5 STARS
Answer:
First one = 120
Second one = 54
Third one = 64
Step-by-step explanation:
For the first figure a triangle must all add up to 180 degrees so just do
180-60 which gives you 120
For the second one it is the same 104+ 22 = 126 then you do 180-126 which gives you 54
For the 3rd figure that straight line is equal to 180 so you do 180-154 which gives you 26 and because the other angle is a right angle we know it adds up to 90. 90+26 = 116 then finally you do 180 - 116 which gives you 64.
Hope this helps.
Find the reference angle for the following angle:
Θ = 17π/4
Θ =
How many letters are in the alphabet?
Answer:
26
Step-by-step explanation:
a Girl bought a new car for $ 60 000 and it depreciates by 10% after one year.
Find the value of the girl's car after a year.
Step-by-step explanation:
90% x $60000 = $54000
Topic: percentage
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
salad dressing is made by mixing lemon juice and olive oul in the ratio 2:5 by volume. the cost of lemon juice is $13.50 per litre. the cost of olive oil is $18 per litre. work out the ratio cost of lemon juice in salad dressing : cost of olive oil in the salad dressing. give your ratio in the simplest form
Answer: $3 : $4 or 3 : 4
Step-by-step explanation: To find the ratio of the cost of lemon juice in salad dressing, you’ll have to replace $13.50 or 13.5 to (135/10), which doesn’t affect the solution. Next, simplify (135/10) to get 27/2. After, divide 27/2 by 18, which is the other part of the ratio. (27/2 ÷ 18) Your final answer or result should end up as 3/4 but since we’re dealing with fractions 3:4, which is the simplified form of $13.50 : $18.00.
Glven: 2x+3y= 6.
What is the y-intercept?
a) no intercept
b) (0,2)
c) (0,3)
d) (2,0)
Answer:
The answer is B 0,2
Step-by-step explanation:
I hope that correct
Which is the best estimate of 174% of 141?
245
252
263
270
Answer:
245
Step-by-step explanation:
°174/100*141
=245
Answer:
245, or A
Step-by-step explanation:
got it correct on edge
hope it helps :]
HELP PLEASE QUICKLY!! Please
Help with this please
=========================================================
Explanation:
Let y = -3*f(-3) + 2*f(3)
The goal is to find the value of y as some single numeric value.
We know that f(x) is an odd function. This means that
f(-x) = -f(x)
For all x in the domain of f(x).
Based on that, we can say
f(-3) = -f(3)
and,
y = -3*f(-3) + 2f(3)
-1*y = -1*(-3*f(-3) + 2*f(3)) ... multiply both sides by -1
-y = 3*f(-3) - 2*f(3)
-y = 3*f(-3) + 2*(-f(3))
-y = 3*f(-3) + 2*f(-3)
-y = 3*7 + 2*7 .... f(-3) replaced with 7
-y = 21+14
-y = 35
y = -35
-----------------------------------------------------
Here's a slightly different approach
f(-3) = 7
-f(3) = 7
Since f(-3) = -f(3)
We can then transform -f(3) = 7 into f(3) = -7 after multiplying both sides by -1
Therefore,
y = -3*f(-3) + 2f(3)
y = -3*7 + 2(-7)
y = -21 - 14
y = -35
-----------------------------------------------------
There are probably other routes to solve this problem.
Whichever path you take, you should find that -3*f(-3) + 2f(3) = -35
i'll give brainliest!! please help!!
Why Maryland a successful colony?
They followed the example of the colony of Jamestown
They searched for gold right away
They planted tobacco and food right away
They found oil
Answer:
they planted tobacco and food right away
Can you help me with this? 7
Answer:
65º
Step-by-step explanation:
The angle of a straight line is 180º, so ∠ABD=180º and ∠ABC=(180-6x)ºThe sum of the interior angles of a triangle is 180, so (x+40)º+(3x+10)º+(180-6x)º=180We can solve from there, x+40+3x+10+180-6x=180Combine like terms, -2x+230=180Subtract 230, -2x=-50Divide by -2, x=25m∠CAB=(x+40)º=(25+40)º=65ºm∠ABC=(180-6x)º=(180-150)º=30ºm∠BCA=(3x+10)º=(75+10)º=85º6+3(6x-7)=ax+b make A and B make the problem have infinitely many solution. if you could pleases hurry
Answer:
sry
"j3ewqdusifqj43we0q9d8uq-idw30oasc[k-0q239ifk09eqwi,dci-0kew-f328rufj34uewdcm3riy4hg0n38ry2vn7
Answer:
A = 18 and B = -15
Explanation:
[tex]6+3(6x-7)=ax+b\\6+18x-21=ax+b\\18x-15=ax+b\\[/tex] An equation that is equated to itself has infinitely many solutions, because every point on its line is a solution.45 pointssss!!!!
A group of teenagers was asked how many hours they had slept the night before.
The data listed below are the reported responses.
8, 10, 4, 10, 7, 8, 9, 9, 8, 8, 7, 9, 12, 8, 6, 7, 8
Create a dot plot for the data in the list. Hover over each number on the number line. Then click and drag up to create the dots.
Answer:
im not sure i understand but i think you mean put them in order? if i get this wrong then i can answer it down in the comments under this answer
12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 4
please let me know if i got it wrong so i can try to answer it correctly. try adding a picture of the question cus i dont understand
answer these 2 question
Answer:
it could be linear, or an increasing line
The Augello family is driving from Columbus to St. Louis at a constant rate of 65 miles per hour. The distance between the two cities is 420 miles. Write an equation in slope-intercept form to represent the distance y in miles remaining after driving x hours.
Answer:
[tex] y = -65x + 420 [/tex]
Step-by-step explanation:
Slope-intercept form equation is given as [tex] y = mx + b [/tex]
Where,
y = distance remaining
x = hours driven
m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.
b = y-intercept, which is the initial value or the distance between the cities = 420
Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:
[tex] y = -65x + 420 [/tex]
The equation in slope intercept form is [tex]y =-65x + 420[/tex]
Linear functionA linear function is a function whose value changes at a constant rate.
The given parameters are:
Distance = 420 milesRate = -65 miles per hourA linear function is represented as:
[tex]y = mx + c[/tex]
Where
m represents the ratec represents the initial value i.e. the distanceSo, the function becomes
[tex]y =-65x + 420[/tex]
Hence, the equation in slope intercept form is [tex]y =-65x + 420[/tex]
Read more about linear functions at:
https://brainly.com/question/14323743
The graph y = x squared - 3x + 4 is plotting on to a set of axes. What are the co-ordinates of where the graph crosses?
A). 1,4
B). 4,1
C). 4,0
D). 0,4
Answer:
D)0,4
Step-by-step explanation:
the area of a square is 4x^2+24x+36. what expressions represents the length of each side of the squae
Answer
is their multiple choice
Step-by-step explanation:
carmen is prepping for a party. she wants to serve 72 apple slices. if each apple can slice up to 6 slices per apple, what is the minimum number of apples she will have to buy?
Answer:
12
Step-by-step explanation:
72/6=12
The following two parallelograms are drawn below. Find the measurement of FE or the variable “x”
Answer:
x=15 in.
Step-by-step explanation:
If the parallelograms are equal (I assume they are), then the ratios are the same. 12 is 3/4 of 16. 3/4 of 20 is 15.
A triangle has one 30° angle, an unknown angle, and an angle with
a measure that is twice the measure of the unknown angle. Find the
measures of the triangle's unknown angles and explain how you
found
the answer
Answer:
50 and 100
Step-by-step explanation:
We know a triangle's interior angles add up to 10 and 30+x+2x=180. We can solv from there.
30+x+2x=180Add like terms, 30+3x=180Subtract. 3x=150Divide, x=50Check your work.
30+1(50)+2(50)=180Multiply, 30+50+100=180Add, 180=180What is the solution of 5/2x -7 = 3/4x +4
Answer:
Step-by-step explanation:
10x-35=12x + 12
10X-12X=12+35
-2x=47
2x=-47
x=-47/2
Suppose y varies directly with x and y=20 when x = 10. What is the value of y
when x = 30?
Answer:
y = 60
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 20 when x = 10, then
20 = 10k ( divide both sides by 10 )
2 = k
y = 2x ← equation of variation
When x = 30, then
y = 2 × 30 = 60
anyone know this ?? thanks
y = 1/2x - 2. Hope this helps
Write an equation in slope-intercept form for the line with y-intercept 3 and slope -3/2
Answer:
y= 3x + -3/2
Step-by-step explanation:
lol
In △ABC , m∠A= 37° and m∠B = 89° . What is m∠C ?
Answer: 54
Step-by-step explanation:
The value of m ∠C will be;
⇒ m ∠C = 54°
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In △ABC , m ∠A= 37° and m ∠B = 89° .
Now,
Since, In △ABC ,
⇒ m ∠A= 37° and m ∠B = 89°
We know that;
⇒ m ∠A + m ∠B + m ∠C = 180°
⇒ 37° + 89° + m ∠C = 180°
⇒ 126° + m ∠C = 180°
⇒ m ∠C = 180° - 126°
⇒ m ∠C = 54°
Thus, The value of m ∠C will be;
⇒ m ∠C = 54°
Learn more about the triangle visit:
https://brainly.com/question/17335144
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