Answer:
The factors are x-3 and x+2, and the roots are 3 and -2.
Step-by-step explanation:
x^2-x-6 can be factored in the following way:
(x-3)(x+2)
The factors are x-3 and x+2, and the roots are 3 and -2.
Factored form of an expression is writing it in the terms of multiplication of factors. The factors of given expression are: (x-3) and (x+2)
How to factorize a quadratic polynomial with single variable?Quadratic polynomial with single variables are expressible in the form
[tex]ax^2 + bx + c[/tex]
where x is the variable and a,b,c are constants.
Its factored form is
[tex]\dfrac{1}{4a^2} \times (2ax +b-\sqrt{b^2 - 4ac})(2ax +b+ \sqrt{b^2 - 4ac})[/tex]
For the given case, the expression given to us is [tex]x^2 - x - 6[/tex]
Comparing it with the standard form of quadratic expression [tex]ax^2 + bx + c[/tex], we get: a = 1. b = -1. and c = -6
Using the aforesaid formula, we get:
[tex]=\dfrac{1}{4a^2} \times (2ax +b-\sqrt{b^2 - 4ac})(2ax +b+ \sqrt{b^2 - 4ac})\\\\=\dfrac{1}{4}\times(2x -1 - \sqrt{1 +24})(2a -1 + \sqrt{1 + 24})\\\\=\dfrac{1}{4} \times (2x - 1-5)(2x - 1 + 5)\\\\=(x -3)(x+2)[/tex]
Thus, The factors of given expression are: (x-3) and (x+2)
Learn more about factors here;
https://brainly.com/question/16078564
I need help asap the question is in the picture.
Answer:
The second one between 2 and 3
Step-by-step explanation:
Sq root of 7 = 2.65
Answer:
2nd number line represents √7 best
Step-by-step explanation:
Method 1
√7 ≈ 2.65
Therefore, the 2nd number line represents √7 best
(the one with the dot between 2 and 3)
Method 2
√1 = 1
√4 = 2
√9 = 3
Therefore, as √7 is between √4 and √9, the solution is somewhere between 2 and 3.
please help me quick with it
Answer:
is there any examples/
Step-by-step explanation:
The answer for y = -x + 4
Answer:
x=4
y=4
m=-1
b=4
no relatibe extrema
no horizontal asymtotes
netheir even nor odd
Step-by-step explanation:
Learning Task 5 : In your answer sheet , prove the theorem , using the given below . if a quadrilateral is inscribed in a circle , then its opposite angles are supplementary." Given : Quadriateral ABCD is inscribed in OE Prove : ∠ABC and ∠ABC are supplementary ∠DAB and ∠DCB are supplementary
Answer: quadrilateral is inscribed in a circle , then supplementary . " its opposite angles are Given : Quadriateral ABCD is inscribed in OE Prove : ABC
Step-by-step explanation:
Please help me due today
Answer:
if m∠1 = 30° then m∠3 = 30° as they are parallel to each other and that is why they will have same angles.
therefore m∠3 = 30°
extra's:
→ m∠2 = m∠4 =
→ (360-30*20)/2
→ 150°
...............................
See here
m<1 and m<3 are opposite angles to eachother.
And we know that opposite angles are equal
so
m<1=m<3 m<3=30°A small airplane can hold 13 people per trip. How many trips would it take the airplane to transport 9,165 people?
You have to divide
its 9,165 divided by 13
[tex]\frac{9165}{13}[/tex] = 205
Teddy it takes 205 trips
to transfer 9,165 in a plane that can hold 13 people per trip
Hope I helped ^-^
Help !! To avoid working with messy fractions when solving a quadratic equation by completing the square, the b value should be:
negative
zero
odd
even
Answer
Even
Step-by-step explanation:
I got the answer from my teacher.
Grace got a haircut for $26.95, bought three shirts on sale for $18.50 each and a pair of jeans for $48, and purchased two CDs for $18.50 each. Round each amount to the nearest ten dollars to find a reasonable estimate of how much Grace spent.
26.95 + 18.5 * 3 + 48 + 18.5 * 2
18.5 * 3 = 55.5
18.5 * 2 = 37
37 + 55.5 + 48 + 26.95 = 167.45
= $167.5
Please help me asap
I will give you 50 points
Answer: C
Step-by-step explanation:
PLEASE HELP GIVING BRAINLIEST IN LESS THEN 20 MINS
Answer:
Attached is the table.
Step-by-step explanation:
Hope this helps!
How many solutions exist for the given equation?3x + 13 = 3(x + 6) + 1
Answer:
0
Step-by-step explanation:
3x+13=3(x+6)+1
Expand:
3x+13=3x+18+1
Simplify:
3x+13=3x+19
Subtract 13 from both sides:
3x+13-13=3x+19-13
Simplify:
3x=3x+6
Subtract 3x from both sides:
3x-3x=3x-3x+6
0=6
Since the sides are not equal there are no solutions to this problem
6) The product of 2.5 and a number is 10.
• First, write an equation to describe the situation.
2.5
C
2.5
-
10
What is the range of the function F(x)= 2cos(x-3)?
Answer:
The range is −5≤y≤−1 - 5 ≤ y ≤ - 1 .
A boat is heading towards a lighthouse, whose beacon-light is 117 feet above the
water. The boat's crew measures the angle of elevation to the beacon, 3°. What is the
ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to
the nearest hundredth of a foot if necessary.
Step-by-step explanation:
this should help in case you don't understand feel free to contact me
A rectangle has length 14 cm and width 4cm what is the area of a square that has the same perimeter as the rectangle?
DUE IN 5 MIN!!!!! I GIVE BRAINLIEST!!!!!!! AND I GIVE POINTS IF U WANT!!!!!
Answer:
Given in the attachmentStep-by-step explanation:
Hope this helps ^^"
Answer:
81 cm²
Step-by-step explanation:
Start by finding the perimeter of a rectangle.
[tex]Perimeter = 2(l+w)[/tex]
Plug in the given values into the equation:
[tex]Perimeter=2(14+4)=2(18)=36\ cm[/tex]
Since the perimeter of a square is:
[tex]Perimeter = 4s[/tex]
We can plug 36 cm in for the perimeter to solve for s
[tex]36\ cm=4s[/tex]
Divide both sides by 4
[tex]s=9\ cm[/tex]
The area of a square is:
[tex]Area=s^2[/tex]
Plug in the 9 cm for s
[tex]Area=9^2=81 \ cm^2[/tex]
Alexandra is following a recipe that requires three fourths cup of water. She needs to make 10 servings. How many cups of water does Alexandra need?
one and one fifth cups
three and one fourth cups
seven and two fourths cups
eight and two thirds cups
Answer:
3/4 • 10 = 30/4 = 7 2/4
how much is 20 cookies for 15.25 dollars
Answer:
305 cookies
Step-by-step explanation:
Well, we know that each cookie is $15.25( that is expensive!?) so we multiply it and get 305 (15.25 x 20)
YW!! Have a nice day!
(SHOW UR WORK I DONT FEEL LIKE DOING THIS XDD BUT THANKSS) 98.73 ÷ 15 =
Answer:
Answer 6.582
Step-by-step explanation:
0 6. 5 8 2
1 5 9 8. 7 3 0
− 0
9 8
− 9 0
8 7
− 7 5
1 2 3
− 1 2 0
3 0
− 3 0
0
Hope its understandable ._.
The question is in the picture please give me all the answers
(5 + y)(–3)
help me please
The value of the given expression is -15 - 3y
What is the value of the expression?In maths, when there are terms in the bracket, it means we are to multiply the terms in the brackets by each other. This means that 5 + y would be multiplied by -3.
Multiplication is the process of determining the product of a set of numbers.
(5 + y)(–3) = -15 - 3y
To learn more about multiplication, please check: https://brainly.com/question/1114498
what does "what is the difference between ½+¼ and ¾+¼" mean
Answer:
It means: 1/2+1/4 - 3/4+1/4
Helpppp asapppppppppppp
Answer:
the first one
4a + 3a =7a
the second one
4a+4b
Answer:
1. 7a
2. 4a + 4b
Step-by-step explanation
1. (a x 4) = 4a
(a x 3) = 3a
4a + 3a = 7a
2. question 2 is correct
Randy was paid $50 for his first night in the restaurant where he works as a cashier. he worked the rest of the week for $6.50 per hour. the equation, y = 6.50x + 50, represents the amount he made that week. What are the ordered pairs for the equation when you use these x-values: 10 and 20
Step-by-step explanation:
so, we first put 10 in for x :
y = 6.50×10 + 50 = 65 + 50 = $115
and then we put 20 in for x :
y = 6.50×20 + 50 = 130 + 50 = $180
so, the ordered pairs are
(10, 115) and (20, 180)
can someone please help me?
Answer:
a = -18 s = -36
Step-by-step explanation:
Simple Math
find the value of a, AB, BC, CD, AD in the parallelogram.
Step-by-step explanation:
opp sides are equal and parallel
a = 21
ab = 23.9
cd = 23.9
ad given in figure
Lainley wraps a cube-shaped present in a box that has a volume of 729 inches. Neglecting any overlap, how many square inches of wrapping paper does Lainey use to cover all of the sides of the box? Marking brainliest
A. 81 in.^2
B. 162 in^2
C. 324 in^2
D. 486 in^2
The area of a cube-shaped present in a box Lainley wraps is A. 81 in²
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, A box that has a volume of 729 inches.
First we'll prime factorize 729.
729 = 3×243 = 3×3×81 = 3×3×3×3×3×3.
If we take the cube root of 729 it would be 3×3 = 9.
So, It is a cube with a side length 9.
Now, We know area of a cube is side².
Therefore, The area of this cube is 9² = 81 in².
learn more about cuboids here :
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Find Please explain, it’s a bit hard for me to understand
Isosceles triangle: It has two angles that have the same measure, i.e. the angle opposite the side of the same length
ΔXYA
∠Y=180° - (65+65) = 50°
ΔAYZ
∠Y=(180°-62°):2 = 59°
so ∠XYZ = 50°+59°=109°
1. A pound of fertilizer pellets will cover about 300 square feet of lawn. Find how many pounds of fertilizer will be
needed for a rectangular patch of grass that measures 45 feet by 45 feet.
Answer:
6.75 if exact 7 if rounding up
Step-by-step explanation:
1lb=300ft^2
45x45=2,025
2,025/300=6.75
The height of a cone is 10ft. The area of the base is 22ft. Compute the volume of the cone
[tex] {73.33ft}^{3} [/tex]
Step-by-step explanation:
[tex]v = \pi {r}^{2} \frac{h}{3} [/tex]
[tex]\pi {r}^{2} = {22ft}^{2} [/tex]
[tex]v = 22 \times \frac{10}{3} [/tex]
[tex]v = 22 \times 3.33[/tex]
[tex]v = {73.33ft}^{3} [/tex]
What is the surface area of the sphere, in square meters?
Possible answers:
A. Not enough information is given to calculate this surface area.
B. 804
C. 2144
D. 201
[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies SA=4\pi (8)^2\implies \stackrel{using~\pi =3.14}{SA\approx 804}[/tex]