Solve with Quadratics
Answer:
x = 1 ± [tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
2x² - 4x = 10 ( divide through by 2 )
x² - 2x = 5
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 5 + 1
(x - 1)² = 6 ( take the square root of both sides )
x - 1 = ± [tex]\sqrt{6}[/tex] ( add 1 to both sides )
x = 1 ± [tex]\sqrt{6}[/tex] ← exact solutions
Answer:
[tex]x \pm\sqrt6 +1[/tex]
Step-by-step explanation:
Hello!
Standard form of a quadratic: ax² + bx + c
Solve:
2x² - 4x = 102x² - 4x - 10 = 02(x² - 2x - 5) = 0x² - 2x - 5 = 0Now, complete the square:
Take the b-value in our equation (-2)Divide it by 2 (-1)Square it (1)Add and subtract that in our equation:
x² - 2x - 5 = 0x² - 2x + 1 - 5 - 1 = 0Factor the perfect square trinomial:
(x - 1)² - 6 = 0(x - 1)² = 6[tex]\sqrt{(x-1)^2} = \sqrt{6}[/tex]x - 1 = ±√6x = ±√6 + 1The solutions are [tex]x \pm\sqrt6 +1[/tex]
2. i. Mr. h. wants to save $80,000 for his son to go to
Stanford. How much money at 5% interest does he need
to invest if he has 10 years (compounded monthly)?
ii. How much money per month would he have to invest to
reach the same goal?
Step-by-step explanation:
$80,000×5×10/100= 40,000
Kayla wants to purchase some candy. All varieties of candy are $2.50. Kayla buys strawberry and mango candy. Write an expression that represents the total cost.
Plz help me
Answer:
2.50s + 2.50m
Step-by-step explanation:
s stands for strawberry
m stands for mango candy
each candy costs 2.50
hope this helps a bit!!!
Find the value of x
Look at the picture^^
Answer with work please I need help???
Answer:
23.64
Step-by-step explanation:
By Pythagoras Theorem:
[tex] {x}^{2} = {28}^{2} - (25 - 10)^{2} \\ \\ {x}^{2} = {28}^{2} -15^{2} \\ \\ {x}^{2} = 784 - 225 \\ \\ {x}^{2} = 559 \\ \\ x = \sqrt{559} \\ \\ x = 23.6431808 \\ \\ x = 23.64[/tex]
Write a system of equations
given the below information
then determine when their
companies will charge the same
amount. Bethany's company
charges a signup fee of $50 and
then $5 a month. Kami's
company doesn't charge a fee
but charges $10 a month.
Total Charge
28882383882
30
20
10
0
9514 1404 393
Answer:
y = 5x +50y = 10x10 monthsStep-by-step explanation:
The equation for the charge (y) by Bethany's company for x months is ...
y = 5x +50
The equation for the charge (y) by Kami's company for x months is ...
y = 10x
The charges are equal when ...
y = y
5x +50 = 10x . . . . use the expressions for y
50 = 5x . . . . . . . . subtract 5x
10 = x . . . . . . . . . . divide by 5
The companies will charge the same for 10 months.
Given F(x)= 5x^6 what is the domain? What is the range?
The domain is (-∞,∞) and the range is [0,∞)
Answer:
Domain: all real numbers
Range: y bigger or equal to 0
Step-by-step explanation:
EDG2021
6(-2x - 1) = -(13x+2) solve for x
Answer:
10
Step-by-step explanation:
-12x-12 = -13x-2
x= 10
Answer:
x=4
Step-by-step explanation:
-12x-6=-13x-2
+12x
-6=-x-2
+2
-4=-x/-1
x=4
The sum of 7.2 and a number is 10.
First, write an equation to describe the situation.
7.2 + 3 = 10
What is the number?
The number is
Answer:
7.2 + x = 10
Step-by-step explanation:
I did 7.2 + x = 10 Because there was suspose to be a number in between
that we do not know so you have to put 7.2 + x = 10
Then... For the next question (The same question but asking the number in between) The second Question you do 7.2 - 10 and you get 2.8
The equation to describe the situation when the sum of 7.2 and a number is 10 is given so it is 7.2 + x = 10.
Calculation of an equation:Since
The sum of 7.2 and a number is 10.
So here we assume the number be x
So,
7.2 + x = 10
x = 2.8
hence, The equation to describe the situation when the sum of 7.2 and a number is 10 is given so it is 7.2 + x = 10.
Learn more about number here: https://brainly.com/question/15546484
tire rim has a diameter of 15 in. What is the circumference of the tire rim? Use 3.14 for Pi.
23.55 in.
46.10 in.
47.1 in.
94.2 in.
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
Diameter ( d ) = 15 in Pi ( π ) = 3.14[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Circumference ( C )[tex] \underline{ \underline{ \text{Solution}} }: [/tex]
[tex] \boxed{ \sf{Circumference \: of \: a \: circle ( C ) = \pi \: d}}[/tex]
⇢ [tex] \sf{3.14 \times 15}[/tex]
⇢ [tex] \sf{47.1 \: in.}[/tex]
[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{ \tt{47.1 \: in.}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Classify each triangle by its angle and by it sides
Answer:
right angles
Step-by-step explanation:
Find the zero of the function:
y= 11x^2+25x-24
6. Multiply and simplify.
Answer
The last one
Step-by-step explanation:
Im big brain
help please :) i'll mark brainliest!
Answer:
Everything except the 3rd one!
Step-by-step explanation:
Plz help me get the right answer
Answer:
1+4x−5x
−7x ^2 +1−(−2x^2−4x)= −7x^2+1+2x^2+4x = 1+4x−5x
Pls this is my last question !!
Answer:
the 1st 2nd and last one
Step-by-step explanation:
Answer:
The first one, the third and the fourth one.
Can someone help its worth ✨15 points✨
Answer:
L is 132
3168 people voted for J
Step-by-step explanation:
Find the distance between the points A(10,-9) and B(8,7) round your answer to the nearest hundredth
Answer:
16.12 units
Step-by-step explanation:
These two points create a right triangle whose diagonal (hypotenuse) represents the desired distance.
Going from B(8, 7) to A(10, -9) involves two steps: Moving 2 units to the right from B(8, 7) to A(10, -9), and moving 16 steps down from B(8, 7) to A(10, -9).
Thus, the horizontal side of the triangle in question has length 2 units and the vertical side 16 units.
The length of the diagonal (which is the desired distance) is then
|AB| = +√(2^2 + 16^2) = +√(4 + 256) = +√260
To the nearest hundredth, this is |AB| = 16.12 units
What is the measure of angle X, to the
nearest degree?
Answer:
56 degrees
Step-by-step explanation:
Assuming this is trigonometry, you use the tangent method. Which means in order to find the angle you put the adjacent side of what your finding and the opposite on top of it.
The equation is tan(angle)= 9/6
You multiply both sides by the arch of tangent and get
angle =tan^-1 (9/6)
I inserted it into my geometry calculator and got 56.30993247, I rounded to the nearest degree and got 56 degrees
Answer:
56°
Step-by-step explanation:
-A triangle has sides with the measure of 11m, 11m, and 25m. State if this is a triangle
or not.
is it a triangle?
Answer:
Nope
Step-by-step explanation:
According to the Triangle Inequality Theorem, any 2 sides of the triangle must always be more than the third. Here, we can see that the theorem is violated because 11 + 11 < 25. Therefore, it is not a legitimate Triangle.
Maggie has 3 quarters, Elizabeth has 5 quarters, and Johnny has 7 quarters. If q represents $0.25, which of the following expressions represents how much money they have altogether?
15q
12q
0.25q
16q
Answer:
3 + 5 + 7 = 15
they have 15 quarters altogether so answer is 15q
The perimeter of a rectangular pool is 48 feet. Its length is 4 feet
more than its width.
Let the width of the pool be represented by x.
Which equation below can be used to describe the situation?
A x(x + 4) = 48
B 2x + 2(x + 4) = 48
С2x + 2x + 4 = 48
D 2x(x + 4) = 48
Answer:
B
Step-by-step explanation:
let's represent the width with x, if we represent the width with x then that makes the length x+4. Therefore the perimeter would be 2x+2(x+4)=48
Will Mark Brainliest!!!
Please help! Thank you!!
What is the turning point of the graph of
f(x)=|x+2|−3?
A)(3, −2)
B)(−2, −3)
C)(−3, −2)
D)(−2, 3)
Answer:
I'm pretty sure it's B -2 -3 :))))
Work out the following and put them in there simplest form
[tex]\frac{3}{11}[/tex] ÷ [tex]\frac{3}{11}[/tex]
Answer:
1
Step-by-step explanation:
using the reciprocal rule
3/11÷3/11
thats the same as
3/11×11/3
3×11=33
11×3=33
33÷33=1
What is the constant of proportionality between y and x in the graph?
Answer:
y=3x
Step-by-step explanation:
y=kx, where k is constant
3y, 1x...so 3y = 1x
check: looking at the graph at 4.5y, 1.5x where y and x intersect...
4.5=3(1.5)
3 x 1.5 = 4.5
if the store paid $75 for a clarent and sold it for 100
Answer:
Is this the full question?
Step-by-step explanation:
Simplify the ratio 20:50:100
Answer:
2:5:10
Step-by-step explanation:
Check
Match the fraction with the equivalent decimal or percentage.
3/20
38%
19/50
0.37
1/3
15%
37/100
33.3%
1/4
25%
Intro
Done
Answer:
See below
Step-by-step explanation:
Fraction Decimal
3/20. 15%
19/50. 38%
1/3. 33%
37/100. 37%
1/4. 25%
Answer:
3/20. 15%
19/50. 38%
1/3. 33%
37/100. 37%
1/4. 25%
Step-by-step explanation:
edge 2021
5w = -75
it’s for my math homework
Answer:
w=-15
Step-by-step explanation:
desmos graphing calculator. Just switch the w for x
8. Alex is buying a pair of new Nikes. Champs decided to apply a markdown of 35%. He found a coupon online for an additional 10% discount. What is the final cost after the markdown and then coupon is applied if the Nikes original cost is $130?
Answer:
175
Step-by-step explanation:
 which ordered pairs match the table ? X 0,1, 2,1,3 Y 2,2,3,4,1