Answer:
x = - 2, x = 3
Step-by-step explanation:
Given
x² - x - 6 = 0
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are + 2 and - 3 , since
2 × - 3 = - 6 and 2 - 3 = - 1 , then
(x + 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 3 = 0 ⇒ x = 3
Answer:
[tex]x^2-x-6=0[/tex]
[tex]\left(x+2\right)\left(x-3\right)=0[/tex][tex]x+2=0\quad \mathrm{or}\quad \:x-3=0[/tex][tex]x+2=0[/tex][tex]x+2-2=0-2[/tex] ← Subtract 2 from both sides[tex]x=-2[/tex][tex]x-3=0[/tex][tex]x-3+3=0+3[/tex] ← add 3 to both sides[tex]x=3[/tex]-----------------------
hope it helps...
have a great day!!
When adding two
rational numbers what
will the sign be if both
numbers are positive?
Answer:
Step-by-step explanation:
Adding two rational numbers results in a positive sum.
The circumference of a circle is 20 pi inches. What is the area in square inches of the circle express your answer in terms of pi
Answer:
314 c m 2
Step-by-step explanation:i think i dont know (sorry)
Help? Luis has saved $15. He doubles the amount he saves each week. Does this represent an exponential function? Choose the correct word in each drop-down menu.
This___ represent an exponential function, because his savings increase by a constant___
1st blank (does not, does)
2nd blank (ratio, difference)
Answer:
1). Does Not
2). Ratio
Step-by-step explanation:
According to the Question,
Given that, Luis has saved $15. He doubles the amount he saves each week.
This DOES NOT represent an exponential function, because his savings increase by a constant RATIO.Combine the radicals 9 x-3 x
6
6 x
-6 2x
-6
Answer:
6xStep-by-step explanation:
9x - 3x
[When like terms are combined then as per statement they get subtracted]
= 6x (Ans)
Acellus
If P = (3,2), find the image
of P under the following rotation.
90° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box
Enter
Answer:
(-2, 3)
Step-by-step explanation:
Think of this in the future:
Counter-clockwise rotations:
90-degree --> (x,y) = (-y,x) ex. (3,2) --> (-2,3)
180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3, -2)
270 degree --> (x,y) = (y,-x) ex. (3,2) --> (2, -3)
Clockwise rotations:
90-degree --> (x,y) = (y, -x) ex. (3,2) --> (2, -3)
180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3,-2)
270-degree --> (x,y) = (-y, x) ex. (3,2) --> (-2,3)
If the entire school had 720 students can use this data to estimate how many of them would say that it takes them more than 10 minutes to get to school
Answer:
I don't know but this question feels incomplete
Four students equally shared 1/2 pan of brownies. What fraction of the whole pan of brownies did each brother get
2 pan......................
.................
Answer:
1/8 of the whole pan
Step-by-step explanation:
Multiply the brothers by 2 to get 8 brothers for 1 whole pan of brownies now what fraction of the pan does each brother get. This method will get the answer 1/8.
Please help this is due today!!
Answer:
F(x) plus or minus would shift up or down...
1/3 f(x) "shrinks everything down by 1/3
the first answer is the correct choice
Step-by-step explanation:
how do you do the probability section?
which answer represents the series in sigma notation 1+1/4+1/16+1/64+1/256+1/1024+1/4096
Answer:
1/(4^(n-1))
Step-by-step explanation:
if you start at zero then this should be the solution
what is 345% written in decimal form? i really need help :( thanks if u can!!
The area of the given rectangle is 63 sq m. One of the side is 9 m, then the missing side of the given rectangle will be
Answer:
7 m
Step-by-step explanation:
63/9=7 and 7*9=63
Answer: 7.
Step-by-step explanation:
Divide 63 and 9 and you get 7. Remember, length times width equals area.
What is the area of a rectangle with side lengths 25 2 5 feet and 46 4 6 feet? Use the grid to help you.
Answer:
1185 10/30 square feet
Step-by-step explanation:
Area of a rectangle = length * width
Given
Length = 25 2/5 feet
width = 46 4/6
Substitute into the formula;
Area = 25 2/5 * 46 4/6
Area = 127/5 * 280/6
Area = 35,560/30
Area = 1185 10/30
Hence the area of the rectangle is 1185 10/30 square feet
Consider the following sequence of numbers
Answer:
There are no questions below .
Latoya earns 41 dollars per week working part-time at a book store. She makes one dollar more for each book that she sells. The amount, A (in dollars), that Latoya earns in a week if she sells b books is given by the following.
A=41+b
How much does Latoya earn in a week if she sells 16 books?
Answer:
57$
Step-by-step explanation:
The equation is A= 41 + b
A represents the entire amount she makes that week.
41 is the minimum she makes every week.
b represents any books she sells which earn an extra 1 dollar.
Plug in 16 books into the equation.
A= 41+ 16
A= 57
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 centimeters cubed.
A sphere with height h and radius r. A cylinder with height h and radius r.
What is the volume of the sphere?
12 centimeters cubed
24 centimeters cubed
36 centimeters cubed
54 centimeters cubed
Answer:
12 cm^3
Step-by-step explanation:
Before we do anything, we should set up the proportion.
[tex]\frac{\pi * r^2*h}{\frac{4\pi r^3}{3}} = \frac{18}{x}[/tex]
Now do the Cancelations of \pi r^2 on the left.
h// (4/3) r = 18/x
but h = 2*r
2r // (4/3) * r = 18/x Cancel the rs on the left
2// (4/3) = 18/x Make 2 = 2/1 so you can handle the fraction
2/1 // (4/3) = 18/x Invert and multiply the denominator
2/1 * 3/4 = 18/x
6/4 = 18x You can reduce the left side
3/2 = 18x Cross multiply
3x = 2*18 Combine the right
3x = 36 Divide by 3
x = 12
So what you have found is the volume of the sphere. 12 cm^3
This is a very interesting question. Keep in mind that physics does this all the time for any of the force formulas (but not all).
I'm a little long winded here, but the first time you see this, you should be given very small steps.
Mike wants to work out the height of a tree which has a fence around it. From A he sees that the angle of elevation of the top is 19° From B, 18m closer, the angle of elevation is 32° Workout the height of the tree
Answer: 13.8 m
Step-by-step explanation:
Given
From point A, angle of elevation is [tex]19^{\circ}[/tex]
From point B which is 18 m closer, it changes to [tex]32^{\circ}[/tex]
Suppose the height of tree is h
From figure, we can write
[tex]\Rightarrow \tan 32=\dfrac{h}{x}\\\\\Rightarrow h=x\tan 32^{\circ}[/tex]
Similarly
[tex]\Rightarrow \tan19^{\circ}=\dfrac{h}{x+18}\\\\\Rightarrow h=(x+18)\tan 19^{\circ}\\\text{Substitute the value of h}\\\Rightarrow x\tan 32^{\circ}=x\tan 19^{\circ}+18\tan 19^{\circ}\\\Rightarrow x(\tan32^{\circ}-\tan 19^{\circ})=18\tan 19^{\circ}\\\\\Rightarrow x=\dfrac{18\tan 19^{\circ}}{\tan32^{\circ}-\tan 19^{\circ}}\\\\\Rightarrow x=22.09\approx 22.1\ m[/tex]
Deduce the value of h
[tex]\Rightarrow h=22.092\times \tan 32^{\circ}\\\Rightarrow h=13.8\ m[/tex]
Thus, the height of the tree is 13.8 m
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Help me ASAP please
Answer:
f(x) = x³ - 3
Step-by-step explanation:
Given f(x) then the graph of f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < o then a shift down o c units
Here a shift down of 3 units, hence c = - 3, thus
f(x) = x³ - 3
13. You are going camping. The cost for renting a cabin at
Shady Knoll Campground at $65.00 plus $12.00 per person.
The cost in dollars is
I
C(n) = = 12n + 65, where n is the number of people.
Answer:
The function is correct, I just don't see a question.
Step-by-step explanation: 6 21 6 10
C(n) = 12n + 65
I will make up a question. How much will it cost 4 people each to rent the cabin?
C(n) = (12n + 65) / n n = 4
= (12 × 4 + 65) / 4
= (48 + 65) / 4
= 113 / 4
= $28.25
If your question is differnt just substitute the number of people into the question and solve for C(n)
Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.
What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.
Step-by-step explanation:
• the area of circle M = 3.14×11² = 379.94
• the circumference of circle M =
2×3.14×11 = 69.08
• XY =√36²-11²=√1296-121=√1175=34.28
• L M = cos~¹ 11/36 = cos~¹0.3055 = 72.21°
• the area of triangle XY = ½×11×34.28
= 188.54
• the area of minor sector
= 72.21/360 × 379.94 = 76.20
• the minor arc from point X to
the point where YM intersects
withthe circle
= 72.21/360 × 69.08 = 13.86
If you receive 25% off an item costing $220, how much
money do you save?
Answer:
You save $55
Step-by-step explanation:
To find out what the 75% of the 220 is, you need to do .75 times 220 and then after you get the answer, subtract that number from 220 and you have your answer.
Find the area of the similar figure.
Will vote brainliest for correct answer!
Answer:
60 cm^2
Step-by-step explanation:
let are of big figure be x .
area of small figure / area of big figure = 15 / 18
50/x = 15/18
do cross multiplication
x*15 = 18*50
x = 900/15
x = 60 cm^2
What is the measure of arc XZ?
ohh dear u still have school i have a holiday for two months
Select all of the true statements.
A.
1
3
foot
>
5
inches
B.
4
miles
>
7
,
000
yards
C.
2
1
4
miles
<
10
,
000
feet
D.
5
3
4
yards
=
196
inches
E.
8
yards
=
24
feet
Answer:
miles
<
10
,
000
feet
D.
5
3
4
yards
=
196
inches
E.
8
yards
=
24
feet
please help me help help help
xy+xb+ya+ab = 32
x(y+b) + a(y+b) = 32
(x+a) (y+b) = 32
4.(y+b) = 32
(y+b) =32/4
(y+b) = 8
OPTION C
which expression are equivalent to the given expression square root of 40
Answer:
2√10
Step-by-step explanation:
√40 = √(2 × 2 × 2 × 5) = 2√10.
Work out the size of angle X
SA = 2πη2 + 2πχh
(Use 3.14 for T.)
Find the surface area of
a cylinder that has a base
radius of 2 feet and a
height of 14 feet.
square feet
Do NOT round your answer.
Answer:
201.06
Step-by-step explanation:
A=2πrh+2πr2
PLEASE HELP ATTACHED BELOW