Answer:
x = 1.5 ± √3.75
Step-by-step explanation:
There are several variations of completing the sqaure.
This is the one I use.
-------------------------------------
2x² - 6x - 3 = 0
add 3 to both sides
2x² - 6x = 3
the x² coefficient must be 1
so divide both sides by 2
x² - 3x = 1.5
use half the x coefficient (-3/2 = -1.5) as the complete the square term
(x - 1.5)² = 1.5 + (-1.5)²
(x - 1.5)² = 1.5 + 2.25
(x - 1.5)² = 3.75
Take the square root of both sides
x - 1.5 = ± √3.75
add 1.5 to both sides
x = 1.5 ± √3.75
Answer:
x = 1.5 + √3.75 ; x = 1.5 - √3.75
Step-by-step explanation:
2x² - 6x -3 = 0
Add 3 to both sides
2x² - 6x = 3
Divide the entire equation by the coefficient of x²
[tex]\dfrac{2x^{2}}{2}-\dfrac{6x}{2}=\dfrac{3}{2}\\[/tex]
x² - 3x = 1.5
Divide the coefficient of x by 2 and then square it and add to both sides.
3/2 = 1.5
1.5² = 2.25
Add 2.25 to both sides
x² - 3x + 2.25 = 1.5+2.25
(x - 1.5)² = 3.75
Take square root,
x - 1.5 = ±√3.75
x = 1.5 ± √3.75
What is the missing step in solving the inequality 5 – 8x < 2x + 3?
Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequality.
Answer:
Add 8x to both sides of the inequality.
Step-by-step explanation:
Anne is making bags of candy to give her seven friends she is putting 2/3 of a pound of windy in its bag how many pounds of candy will she need
A long distance telephone company offer two plans . The deluxe plan cost $30 a month and offers unlimited long distance calling. The economy plan only costs $10 a month, but charges 5 cents per minute for every long- distance call. How many minutes a month can you use for long distance calls and still have money using the economy plan?
Answer:
399 minutes a month
Step-by-step explanation:
As I understand the question the answer would, in other words, be how many minutes you can long-distance call with the economy plan for under $30.
The unit ratio is 5 cents per minute, which equates to 20 minutes worth of call time for one dollar (100/5).
The economy plan is $20 cheaper than the deluxe plan. $20 spent on long-distance calling gets you 400 mintues, but the question asks for an integer that would still leave remaining money.
Therefore the answer is 399 minutes of long-distance calling, which would leave five unspent cents.
Find the value if f(x) = -3x - 8 and g(x) = x2 + 3. Find the value g(-5) =
Step-by-step explanation:
g(x) = x² + 3
g(-5) = (-5)² + 3
g(-5) = 25 + 3
g(-5) = 28
The function f is given by
f(x) = 2x^3– 4
(a) Show that f^-1(50) = 3
Answer:
hope it helps you.....
and I m feeling bad for my handwriting
The proof of the value of the inverse equation f^-1(50) = 3 is below
How to prove the value of the inverse equationFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2x^3 - 4
To show that f^-1(50) = 3, we simply show that
f(3) = 50
substitute the known values in the above equation, so, we have the following representation
f(3) = 2 * 3^3 - 4
Evaluate
f(3) = 50
Hence, the proof of the value of the inverse equation is done
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PLEASE HELP!!!!!‼️‼️ ILL MARK BRAINLIIST WHAT EVER IT IS CALLED PLEASE!!!!
1. What theorem can be used to find a missing length in a right triangle?
A. Base angle theorem
B. Pythagorean theorem
C. Midsegment theorem
D. Triangle proportionality theorem
2. Find the value of X in the figure below if LP is parallel to MO
A. 10.7 units
B. 3 units
C. 5.5 units
D. 6 units
Answer:
1.b
2.d
Sana makatulong
1. Optiond D is correct, Triangle proportionality theorem can be used to find a missing length in a right triangle.
2. Option D is correct, the value of x is 6.
1. The Triangle proportionality theorem can be used to find a missing length in a right triangle.
The triangle proportionality theorem states that if a line parallel to one side of a triangle intersects the other two sides at different points, then it divides the remaining two sides proportionally.
2. By triangle proportionality theorem:
NO/OP=NM/x
20/8=15/x
Simplify the LHS:
5/2=16/x
Apply cross multiplication:
5x=15×2
5x=30
x=30/5
x=6
Hence, the value of x is 6.
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Three of the angles of a quadrilateral are 53degrees, 127degrees and 72degrees
Answer:
108
Step-by-step explanation:
The size of the fourth angel = 360 - ( 53 + 127 + 72 ) = 108
algebra 2 please help
Answer:
A
Step-by-step explanation:
(f+g)(x)=-2x+4+x^2-3x+5
so answe = x^2-5x+9
Can someone help me with this? Please and Thank You.
Answer:
4.9 hours
Step-by-step explanation:
Divide 1,625 by 2.5 to identify what number is being multiplied by 2.5.
Ans: 650
Divide 3,185 by 650 to find the time for 3,185 gallons of water.
Ans: 4.9
4.9 hours is your answer.
Find the value of x.
Answer:
x is 60 because the total of angles in a triangle is 180 degrees
Answer: 5
Step-by-step explanation:
Since we are given two angles and one side, we can use the side angle side comparison logic to figure out that all sides are 7 and all angles are 60. Since we are given that a side with length 7 is also 2x-3, we can infer that 2x-3=7. 2x=10, x=5. easy
Question 6 of 17 Which expression uses the associative property to make it easier to evaluate 14(3 - 3)? O A. 14(1 : 3) B. (14 • ;)) O C. 1431 O D. D. (1. 114 3 )
Answer:
a
Step-by-step explanation:
The radius of the circle shown to the right is 3 inches. What is the area of this circle, in square inches?
(A) 3π (B)9π (C) 12π (D) 36π
i need help with this
graph 7=-(x-4)
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: Undefined
y-intercept: No y-intercept
x y
-3 0
-3 1
Step-by-step explanation:
Below is a picture of the graph. PLEASE MARK BRAINlIST
0.1 x 0.01 x 0.001
ans ???
________
[tex] \: [/tex]
[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]
[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]
[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]
[tex] = \bold{ \frac{1}{1.000.000}} [/tex]
Answer:
[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]
Sarah took a 20? Test and got 17 problems correct what percent did she get
Answer:
85%
Step-by-step explanation:
Divide the number of problems gotten right by the total number of problems.
Sarah got an 85%.
Use this method.
part/whole = %/100
So.
17/20 = x/100
Cross multiply.
17•100=1700
20•x=20x
Divide by 20
1700÷20=85
Therefore the answer is 85%
Help. Please
And
Thank u
<3
Step-by-step explanation:
α = α
x = 96°
Answer → x = 96° (degree)
Answer:
96 Degrees
Step-by-step explanation:
If we look at the problem, we know that due to the fact that they are adjacent that they MUST be equal.
Here is the proof:
We'll assign each angle a letter as following
A B C D with A being the top left and D being the bottom right!
Now that we know that, first off, A has to be equal to 180-96 due to them being Supplementary Angles.
Therefore, A is 84 degrees.
Now to find x, we can use Supplementary Angles again.
x has to be 180-84 which is 96 degrees proving the theorum.
Have a nice day!
The radius of the earth is supposed to be 6300 km and the distance of the moon from the earth being 60 times the radius of the earth, find approximately the radius of the moon which subtends at the earth an angle of 21'.
solve this problem step by step .....
9514 1404 393
Answer:
1155 km
Step-by-step explanation:
The arc length of the moon's diameter is ...
s = rθ . . . . . where r is the distance to the moon, θ is the subtended arc in radians, and s is the moon's diameter.
There are 180° in π radians, and there are 60' in 1°. That means there are π/10800 radians in each minute of arc.
s = (60·6300 km)(21/10800π) = 2309 km
The radius of the moon is estimated to be half this diameter, or ...
moon radius ≈ 1155 km
_____
Additional comment
We have calculated the radius of the moon based on the numbers given in this problem. The angle subtended by the moon is actually about 31', not 21'.
What is the difference between reciprocal, opposite, and inverse in math?
Answer:
The difference between “inverse” and “reciprocal” is just that. ... “Inverse” and “reciprocal” are terms often used in mathematics. “Inverse” means “opposite.” “Reciprocal” means “equality,” and it is also called the multiplicative inverse.Step-by-step explanation:
Answer: Reciprocal- when you flip the denominator and the numerator in a fraction
Step-by-step explanation:
help me no link dummys jk A venue is preparing for a concert on the floor shown.The width of the red carpet is 1/6 of the width of the floor.What is the area of the red carpet
Answer:
The area of the red carpet is 1057 ft²
Step-by-step explanation:
The area of the red carpet is 112.35 ft².
Given that, the width of the stage =63 ft and the length of the stage =10 2/3 ft.
What is the area of a rectangle?The area of a rectangle is obtained by multiplying its length and width. Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product "l × w".
Now, the width of the red carpet is 1/6 of the width of the floor = (1/6) × 63
=10.5 ft
Here, 10 2/3 can be written as 10.66 ≈ 10.7 ft
The area of the red carpet = length × width = 10.7 × 10.5
=112.35 ft²
Therefore, the area of the red carpet is 112.35 ft².
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Which equation goes through the points (-3,5) and (-1,7)?
Answer:
y=x+8
Step-by-step explanation:
slope = y2-y1/x2-x1
slope = 7-5/-1+3
slope = 2/2
slope = 1
y=x+b
7=1(-1)+b
7=-1+b
b=8
y=x+8
Please help, thank you (NO LINKS!)
Patsy has cheerleading practice every fourth day. She wants to be in the school play, but they have practice every sixth day. If both start on September 5th, what would be the next date she has to choose between cheerleading and play practice? Show your work and explain.
Answer:
the first time 4 and 6 intersent is 24
so 24 days after september 5th
september 29th
Hope This Helps!!!
It took Jason 20 days to write his college essay. He wrote half a page (0.5) every day. How long was the report?I need an explanation to so I can understand, thank you!
the first shower head was used 20 gallons of water in 5 minutes. How many gallons of water will we use in one minute?
Answer:
4
Step-by-step explanation:
because since it says 5 minutes
and. 5×4=20 so 4 gallons of water in 1 minute
simplify :
12⁷*28⁶
_______
21⁷*16⁶
Answer:
Step-by-step explanation:
Prime factorize 12 , 28 , 21 and 16
12 = 2 * 2 * 3 = 2² * 3
28 = 2 * 2 * 7 = 2² *7
21 = 3 * 7
16 = 2 * 2 * 2 * 2 = 2⁴
[tex]\dfrac{12^{7}*28^{6}}{21^{7}*16^{6}}=\dfrac{(2^{2}*3)^{7}*(2^{2}*7)^{6}}{(3*7)^{7}*(2^{4})^{6}}\\\\\\\\=\dfrac{2^{2*7}*3^{7}*2^{2*6}*7^{6}}{3^{7}*7^{7}*2^{4*6}}\\\\\\=\dfrac{2^{14}*3^{7}*2^{12}*7^{6}}{3^{7}*7^{7}*2^{24}}\\\\\\=\dfrac{2^{14+12-24}*3^{7-7}}{7^{7-6}}\\\\\\=\dfrac{2^{2}*3^{0}}{7^{1}}\\\\\\=\dfrac{2^{2}}{7}[/tex]
Hint:
[tex]a^{m}*a^{n}=a^{m+n}\\\\\\(a^{m})^{n}=a^{m*n}\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n} \ if \ m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}} \ if \ n>m[/tex]
other words for cubed in math exponents kids
Answer:
A cube is a three dimensional shape that features all right angles and a height, width and depth that are all equal. A cube has 6 square faces. A cube has 8 points (vertices). A cube has 12 edges.
Or
solid, six-sided solid, cubicle, hexahedron, die, third power, regular hexahedron, block, dice, cuboid and Rubiks.
Step-by-step explanation:
12. What value of a makes the equation true?
7a + 6 = -5(a -6)
A.-3
B. 3
C.0
D.2
Answer:
D
Step-by-step explanation:
7a + 6 = -5(a -6)
<=> 7a + 6 = - 5a + 30
<=> 7a + 5a = 30 - 6
<=> 12a = 24
<=> a = 2
=> Answer is D
Hope this helps!
Answer:
a=2
Step-by-step explanation:
1. distribute the -5 to (a-6): 7a + 6 = -5a + 30
2. add 5a to both sides, and subtract 6 on both sides: 12a = 24
3. divide by 12: a = 2
A customer buy's 5 books at a bookstore for a total cost of 65$. If all the books cost the same amount, how much does 1 book cost?.
Answer: each book costs $13
Step-by-step explanation:
dividing 65 by 5 gets the answer
Answer:
13$ per book
Step-by-step explanation:
Divide 65/5 and it will give you the unit rate
Guided Practice
What will the height of the pumpkin be when it has been in the air for 1 second?
A.
15 feet
B.
85 feet
C.
91 feet
D.
69 feet
Answer:
D.
69 feet
Step-by-step explanation:
Substitute 1 into the function for t and solve.
h( 1 ) = −16 ( 1 ) 2 +70( 1 )+15 h( 1 ) = 69h left parenthesis 1 right parenthesis equals negative 16 left parenthesis 1 right parenthesis squared plus 70 left parenthesis 1 right parenthesis plus 15 line break h left parenthesis 1 right parenthesis equals 69
Answer:
A i think its wrong srry
Step-by-step explanation:
Find the value of x.
X = 88°
based on the isosceles triangle, you can solve it.
if there was 200 kids= 100% and 43 of them left what is the percent
Answer:
It would be 86 as 43% of 200 is 86
Step-by-step explanation:
