Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps below. Find the step where Harry went wrong. (1 point)
➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0
To solve -➙ the given quadratic equation.
Concept applied -➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.
What is quadratic equation?
➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.
Now, what is quadratic formula?
➙The roots of a quadratic equation ax + bx + c = 0 are given by [tex]\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}[/tex] provided b - 4ac ≥ 0.
Solution -here as per the given quadratic equation,
a = 2, b = -1 and c = -6
putting in the formula,
[tex]\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}[/tex]
[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}[/tex]
[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}[/tex]
[tex]\implies\sf{x=\frac{1 \pm\: 7}{4}}[/tex]
Solving one by one,
[tex]\implies\sf{x=\frac{1 + \: 7}{4}}[/tex]
[tex]\implies\sf{x=\frac{8}{4}}[/tex]
[tex]\implies{\boxed{\bf{x=2}}}[/tex]
________________
[tex]\implies\sf{x=\frac{1 - \: 7}{4}}[/tex]
[tex]\implies\sf{x=\frac{-6}{4}}[/tex]
[tex]\implies{\boxed{\bf{x=\frac{-3}{2}}}}[/tex]
________________________________
Note - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.
________________________________
Hope it helps!! (:
A cookie recipe for 30 cookies calls for 2 cups of flour. How much flour is needed to make 45 cookies? How much cups is needed for 45 cookies. And what is the unit rate for cookie/cups of flour
Answer:
3 cups. 15 cookies to 1 cup of flour.
Step-by-step explanation:
The answer is 3 cups. The first thing you do is find the unit rate. Divide 30 by 2 and you know that 1 cup of flour makes 15 cookies. Then divide 45 by 15 which is 3 and which tells you that 3 cups of flour makes 45 cookies.
Find the side labeled x.
HELP
Answer: 89
Step-by-step explanation:
60 + 31 = 91
180 - 91 = 89
If this isn’t correct then sorry :/
A window in the shape of a parallelogram had a base of 46 inches and a height of 45 inches. What is the area of the window?
Answer:
A = bh
A = 45 x 46
A = 2070 inches
Answer:
2070 squre in
Step-by-step explanation:
because the base is 46 and the height is 45 then we just multiply the two together to find the area.
so we solve it and we get
45*46=2070
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest form.
A rectangular prism with the width as three and a half feet, the length as two and a half feet and the height as one and a half feet. i need help
Answer:
The volume is approximately 13 1/8 feet.
Step-by-step explanation:
Volume of a rectangular prism is calculated by multiplying the width, length, and height together.
3.5w × 2.5l × 1.5h = 13.125
13.125 = 13 1/8. The fraction cannot be reduced any further, so this is its simplest form.
Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x? 4x2 216x 2,592 = 0 4x2 216x − 684 = 0 2x2 216x − 3,276 = 0 x2 108x 3,276 = 0.
The quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
As it is given that the length and the width of the centre area are 72 inches and 36 inches, respectively. When the dimensions of the centre area are converted into the feets, it will be,
[tex]\rm Length = \dfrac{72\ inches}{12} = 6\ feet[/tex]
[tex]\rm Width= \dfrac{36\ inches}{12} = 3\ feet[/tex]
If we take the borders of the table into account, the length and the breadth of the table will become,
Length = (6+x+x) = (6+2x)
Width = (3+x+x) = (3+2x)
We know that the area of a rectangle is given as the product of the length and width, and also it is mentioned that the area of the entire table is 3,276 square feet. Therefore, the area of the table can be written as,
[tex]{\rm Area=Length \times Width}\\\\3276 = (6+2x)(3+2x)\\\\3276= 18+ 12x+ 6x + 4x^2\\\\4x^2+18x+18-3276=0\\\\4x^2+18x-3258=0\\[/tex]
Thus, the quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.
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CAN SOMEONE PLEASE HELP ITS DUE TODAY
Answer:
n = 6
Step-by-step explanation:
[tex] \frac{ {5}^{n} \times {5}^{3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: \frac{ {5}^{n + 3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: {5}^{n + 3 - 7} = {5}^{2} \\ \\ \implies \: {5}^{n - 4} = {5}^{2} \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \frac{5 {}^{n} \times {5}^{3} }{5 {}^{7} } = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{5 {}^{n + 3} {}^{} }{5 {}^{7} } = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:5 {}^{n + 3 - 7} = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:5 {}^{n - 4} = {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:{}{n - 4} = {2} [/tex]
[tex]\qquad \sf \dashrightarrow \:n = 2 + 4[/tex]
[tex]\qquad \sf \dashrightarrow \:n = 6[/tex]
Hence, value of n is 6
Convert 315 degrees to radian
Answer:
[tex]\frac{7\pi }{4}[/tex] radians
Step-by-step explanation:
to convert degrees to radians
radians = degrees × [tex]\frac{\pi }{180}[/tex] , then
radian measure = 315° × [tex]\frac{\pi }{180}[/tex] ( cancel 315 and 180 by 45 )
= 7 × [tex]\frac{\pi }{4}[/tex]
= [tex]\frac{7\pi }{4}[/tex]
315 degrees is equal to 5.49779 radians.
To convert degrees to radians, you need to multiply the degree measure by the conversion factor of π/180.
Let's convert 315 degrees to radians:
315 degrees × (π/180)
315×3.14 /180
= 5.49779 radians
Therefore, 315 degrees is equal to 5.49779 radians.
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54 x 8181 x 12 x 8271 x 1301 x 812
Answer:
4.6320447e+16
I used a calculator for this LOL.
math makes me mad mad‼️‼️
695 km/h
explanation
3475/5 = 695
hope it helps...!!!
What is the surface area?
10 ft
8 ft
10 ft
12 ft
10 ft
Answer:
12×8/2=48
10×10=100
2(48)+3(100)
96+300= 396ft²
Which of the following is a rational number(s)?
6
7
a.
b.
-1
10
Gold
-3
d. All of these
-15
Last question please help!
Answer:
Angle BFC.
Step-by-step explanation:
Because angle BFD is a right angle because angle AFE is equal to BFD because of vertical angles
HELP ME PLEASE
PRETTY PLEASEEEEEEEEEEE
Answer: 718 in^2.
Step-by-step explanation: To find the volume of a cone, you use the following equation:
V = π x r^2 x h x 1/3, where π is approximately 3.14, r^2 is the radius of the cone squared, h is the cone's height, and V is the volume of the cone. Since a cone's volume is one-third of a cylinder's, that's why we multiply by 1/3, in case you're confused about where the 1/3 comes from.
Now, we substitute the following so we can solve this problem:
V ≈ 3.14 x 7^2 x 14 x 1/3.
Now that we've filled in the following, we can solve it:
3.14 x 7^2 ≈ 153.86.153.86 x 14 ≈ 2154.04.2154.04 x 1/3 ≈ 718.01333333.Therefore your answer is 718.01333333 in^2 or rounded to the nearest whole number is 718 in^2.
Let me know if this is right! :)
What is the value of x? sin(x 37)°=cos(2x 8)° enter your answer in the box. x =
The value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15.
How to convert sine of an angle to some angle of cosine?We can use the fact that:
[tex]\sin(\theta ^\circ) = \cos(90 - \theta^\circ)[/tex]
to convert the sine to cosine (but the angles won't stay same unless its 45 degrees).
For this case, we're specified the equation sin(x+37)°=cos(2x+8)°.
Converting sine to cosine, we get:
[tex]\cos(90 - x - 37)^\circ = \cos(2x + 8)^\circ\\[/tex]
Since cosine is a periodic function with period of [tex]360^\circ[/tex], thus, we get:
[tex]90 - x - 37= 2x + 8 +360 n[/tex]
where n = an integer (positive, negative, or zero).
or
[tex]90 - 37 - 8= 3x + 360 n\\\\x = \dfrac{45 - 360n}{3} = 15 - 120n[/tex]
This is the general solution of the considered equation.
Assuming that only principal values (from 0 to 360 degrees) angles are allowed, we need:
[tex]0 \leq x + 37 \leq 360\\\\and\\\\0 \leq 2x+8 \leq 360[/tex]
The first inequality gives:
[tex]-37 \leq x \leq 323[/tex]
The second inequality gives:
[tex]-4 \leq x \leq 176[/tex]
We need to satisfy both the inequalities, so the final boundaries on x are:
[tex]-4 \leq x \leq 176[/tex] (the minimum ones for which both inequalities stay true).
n = -2 gives x = 255n = -1 gives x = 135n = 0 gives x = 15n = 1 gives x = -105n < -2 gives x > 255, and n > 1 gives x < -105
So, values of n for which [tex]-4 \leq x \leq 176[/tex] is true are n = -1, or n = 0
Thus, x = either 135 or 15
sin
Thus, the value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15
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In parallelogram GOST, angle G has a measure of 40°
What is the measure of angle T?
40° + S = 180°
- 40° + 40° + S = 180° - 40°
S = 140°
T = 140°Subtract 17a²b from 2a²b
Answer:
-[tex]15 {a}^{2}b[/tex]
HELP ASAP GIVING BRAINLIEST LETS GO! In a dark hallway, you have a hard time finding your way to the bathroom. To find the bathroom, you try the following:
Shouting for help
Feeling your way down the hall
Turning on a lamp
Crawling along the floor
----------------------------------------------------------------------------------------------------------------------------
.All four are successful, but only one of these options uses two forms of energy. Identify the two forms of energy for that option.(2 points)
A.Electrical and light
B.Heat and sound
C.Mechanical and light
D.Sound and heat
Help me !!!! Emergency .
50 points + Brainliest
No spammers please
Leaders please answer this question
No. 8. a
Answer:
[tex] \frac{1}{ \sqrt{2} } [/tex]
Step-by-step explanation:
Given
[tex]theta = 22 \frac{1}{2} = \frac{45}{2} [/tex]
[tex]2 \times theta = \frac{45}{2} \times 2 = 45[/tex]
Sin2theta=sin45⁰=1/√2
[tex] \frac{1}{ \sqrt{2} } [/tex]
is your answer
Answer:
[tex]\sf \dfrac{\sqrt{2}}{2}[/tex]
Step-by-step explanation:
[tex]\sf If\:\theta=\left(22\dfrac12\right)^{\circ}[/tex]
[tex]\sf \implies2\theta=2\cdot\left(22\dfrac12\right)^{\circ}=45^{\circ}[/tex]
[tex]\sf Therefore\:\sin2\theta=\sin(45)^{\circ}=\dfrac{\sqrt{2}}{2}[/tex]
Proof
If a right triangle has an interior angle of 45°, then the third interior angle will also be 45° (since the sum of the interior angles of a triangle is 180°).
This means that the two legs of the right triangle are equal in length.
Using Pythagoras' Theorem, we can state that the hypotenuse of a right triangle with two legs of equal length will be √2 times the length of a leg.
Let a = b = 1
⇒ 1² + 1² = c²
⇒ c = √2
The sine trig ratio is:
[tex]\mathsf{\sin(\theta)=\dfrac{O}{H}}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse[tex]\implies \sf \sin(45^{\circ})=\dfrac{1}{\sqrt{2} }[/tex]
[tex]\implies \sf \dfrac{1}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{2}}{2}[/tex]
[tex]\implies \sf \sin(45^{\circ})=\dfrac{\sqrt{2}}{2}[/tex]
What’s 36 km=?m into a desmal
Explanation:
To go from km to meters, multiply by 1000
This is because 1 km = 1000 meters
work out the total length of the wire two wire shapes make an earring. the shapes are a circle with radius 21mm and a quarter circle 6mm. work out the total length of the wire in the earring. give your answer in the form a pie +b where a and b are integers.
Answer:
45n+12mm
Step-by-step explanation:
I hope this is right if it is right pls mark me as brainliest and learn well
the value of a and b will be 45 and 0 for the given expression.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given, the shapes are a circle with a radius of 21mm and a quarter circle of 6mm.
Since Radius = 21 cm
the radius of the circle/ radius of the quarter circle = 7/2
Total length = Sum of the circumference of both the circle
Since the formula for the circumference of a circle:
C = 2 * pi * radius
Total length = 2* pi* r + 1/4 * (2 * pi * r')
Total length = 2 *pi * 21 + pi * 3
Total length = π(42 + 3)
total length = 45π + 0
therefore, the value of a and b will be 45 and 0 for the given expression.
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evaluate the expression when m=3 and n=8. 40/n-m=
Answer:
2
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
If n = 8 and m = 3, 8 - 3 = 5.
40 ÷ 5 = 8
Hope this helps
This i-ready lesson is hurting my brain, anyway I need help on this one
Answer:
I am pretty sure it is 100in^3 + s^3
Please help me on this
Answer:
[tex]5.4 \times {10}^{ - 17} {m}^{2} [/tex]
[tex]s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} [/tex]
A cube has an edge length of 12 meters. What is its volume, in cubic meters?
Can someone please help me find the ordered pairs for U and T?
thanks!
u (-1 ; 0)
t (-3 ; 0)
All digits in a dropdown number are different and one of the digits is the average of all the digits. it has at least two digits. for example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number.
The dropdown numbers is an illustration of combination
The smallest dropdown number is 1025
How to determine the smallest dropdown number?From the question, we have the following parameters:
The dropdown number is 4-digitThe digits are different.We start counting from 1023, 1024, 1025, 1026...........
The sum of digits in 1023 is 6, and the average is 1.5The sum of digits in 1024 is 7, and the average is 1.75The sum of digits in 1025 is 8, and the average is 2The number 1025 satisfies the given conditions
Hence, the smallest dropdown number is 1025
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How many sides does a dodecahedron have?
Answer:
A dodecahedron has 12 sides
Step-by-step explanation:
Hope that helps!
as part of a design project, hassan wants to put moroccan tiles side by side along the edge of his counter. each tile has a side leanth of 0.15 meter. the edge of the counter is 3 merters longhow many tiles does hassan need.
The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.
What is a Tile's Length?The tile's length is the longer side of a tile depending on the shape of the tile.
The length of the given tile is, 0.15 meter.
Length of the edge of he counter = 3 meters.
Number of tiles Hassan needs = 3/0.15
Number of tiles Hassan needs = 20 tiles.
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Answer: 20 tiles.
Step-by-step explanation:
The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.
What is a Tile's Length?
The tile's length is the longer side of a tile depending on the shape of the tile.
The length of the given tile is, 0.15 meter.
Length of the edge of he counter = 3 meters.
Number of tiles Hassan needs = 3/0.15
Number of tiles Hassan needs = 20 tiles.
A stores daily average sales during its first year in 1991 were $345. Since then, the average daily sales have increased about $35 year. Let t be the number of years since 1991. Which equation represents the average daily sales as a function of t
Answer:
d
Step-by-step explanation: