[tex]\large\boxed{\tt\:Question}[/tex]
x² - 8x + 12 = 0
Hello meremyj! Here's your answer with explanation.
[tex]\large\boxed{\tt\:Answer\:with\:Explanation}[/tex]
[tex]x ^ { 2 } - 8 x + 12[/tex]
Use the biquadratic formula =》 [tex]x=\frac{-b±\sqrt{\left(-b\right)^{2}-4 ac}}{2}[/tex]
Now,
b = 8 c = 12 a = 1Using the biquadratic formula & substituting the values....
[tex]x=\frac{-\left(-8\right)±\sqrt{\left(-8\right)^{2}-4\times 12}}{2} \\x=\frac{-\left(-8\right)±\sqrt{64-4\times 12}}{2} \\x=\frac{-\left(-8\right)±\sqrt{64-48}}{2} \\x=\frac{-\left(-8\right)±\sqrt{16}}{2} \\x=\frac{-\left(-8\right)±4}{2} \\\underline{\underline{x=\frac{8±4}{2}} }[/tex]
Now, solve when [tex]x=\frac{8+4}{2}[/tex]
[tex]x=\frac{8+4}{2}\\x=\frac{12}{2} \\\boxed{\bf\:x=6 }[/tex]
Now, solve when [tex]x = \frac{8-4}{2}[/tex]
[tex]x = \frac{8-4}{2}\\x = \frac{4}{2}\\\boxed{\bf\:x=2}[/tex]
______________
The value of x can be 6 & 2.______________
Hope it'll help you!
Lucäžž
Which expressions simplify to 0? Check all that apply.
8g – 8g
(–2g) – 2g
5g + (–5g)
One-half g + one-half g
Negative two-thirds g + two-thirds g
The expressions that simplify to zero are:
8g – 8g
5g + (–5g)
Negative two-thirds g + two-thirds g
Let us consider each of the expressions to determine the ones that simplify to zero (0)
For 8g - 8g
This is a direct subtraction of terms of the same value. Therefore, 8g - 8g = 0
For (–2g) – 2g
This can be further simplified as -2g - 2g = -4g
Therefore, (–2g) – 2g does not simplify to zero
For One-half g + one-half g
This can be written mathematically as:
[tex]\frac{1}{2}g + \frac{1}{2}g = g[/tex]
Therefore, One-half g + one-half g does not simplify to zero
Negative two-thirds g + two-thirds g
[tex]-\frac{2}{3}g+ \frac{2}{3}g = 0[/tex]
Therefore, Negative two-thirds g + two-thirds g simplifies to zero
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Answer:
A , C , E :)
Step-by-step explanation:
1.
Use the quadratic function to predict y if x equals 6.
y = 2x^2 − 2x − 2
A. y = −58
B. y = −60
C. y = 60
D. y = 58
Answer:
D. y = 58
Step-by-step explanation:
Answer:
The value of the polynomial is 58 for x = 6.
Step-by-step explanation:
Here, the given quadratic function polynomial is given as:
or,
Now, to find the value of y, when x = 6
⇒
= 2(36 - 6 -1) = 2(29)
= 58
⇒y(6) = 58
Hence, the value of the given polynomial is 58 for x = 6.
Please help if you could.
f/2 + 9 = 4
-9 -9
f/2 =
Answer:
[tex]\frac{f}{2} +9=4[/tex]
Subtract 9 from both sides:
[tex]\frac{f}{2}+9-9=4-9[/tex]
[tex]\frac{f}{2} =-5[/tex]
Multiply both sides by 2:
[tex]2*\frac{f}{2} =-5*2[/tex]
[tex]f=-10[/tex]
If A={s, t, a, r} and B={m, a, t, h}, find A ∩ B.
A ∩ B = { t,a }
This is because it is asked to find the common elements present in both sets.
We need to write only the same elements present in both sets.
Therefore, A ∩ B = { t,a } is the answer.
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Answered by Benjemin ✍️
What is the equation in slope-intercept form for the line that passes through the points
-4,3 and 2,-6 (slope intercept form)
Answer:
check the file to see the answer i added a screen shot of the answer
Step-by-step explanation:
helpppp
1) calculate the values of the missing sides And angles in the following triangles And rectangles
Answer:
For the pink triangle, [tex]\alpha +\beta = 90[/tex] degrees
For the yellow triangle, [tex]\beta =35[/tex] degrees
Step-by-step explanation:
You need side lengths to find the rest of the angle measures for the pink triangle and I'm not sure how to find side lengths with coordinates, I'm used to an integer with a unit of measure, maybe someone else could help with that.
Graph the line passing through (1,2) whose slope m= -1/3
[tex] \sf \: y = - \frac{1}{3} x + \frac{7}{3} [/tex]
hope it helps
WHAT IS THE VALUE OF Y IN THE EQUATION 2X + 4Y = 8, IF X =0?
Answer:
It must be two
Step-by-step explanation:
If the scale is
2
inches
=
4
feet, what are the actual side lengths of the garden?
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
Feliciano is using a pretest/posttest design to conduct an experiment on improving children’s handwriting, employing two different techniques of improving handwriting and a control condition. In the results, the two groups who receive the treatment don’t show any difference from each other. Feliciano believes that there is a difference but that his 3-point assessment scale of handwriting cannot detect it. Identify the true and false statements about Feliciano’s study. True Statement(s) Drag appropriate answer(s) here Feliciano is most concerned about using an insensitive measure. Press Space to open To address his concern, Feliciano should use a scale with more levels for his dependent variable. Press Space to open To address his concern, Feliciano should use a manipulation check for his independent variable. Press Space to open To address his concern, Feliciano should increase his sample size. Press Space to open Feliciano is most concerned about measurement error.
The test result can be made more responsive by adjusting the parameters
of the test.
Feliciano should use a scale with more levels for his dependent variableFeliciano should use a manipulation check for his independent variable Feliciano should increase the sample size.Reasons:
The type of experiment being performed by Feliciano is children
handwriting improvement based on two techniques and a control condition.
The number of groups that receive the treatment = Two
The assessment method used = 3-point assessment scale
The true statements are;
Feliciano should use a scale with more levels for his dependent variableIncreasing the number of levels on the scale, increases the variability of the response such that more responses can be obtained from the participants than when using a 3-point scale, based on the closeness between the the variables being assed.
Feliciano should use a manipulation check for his independent variableA manipulation check can be used to determine the effectiveness of the treatment applied , such as the inclusion of question that finds out about the participants association to the treatment.
Feliciano should increase the sample sizeIncreasing the sample size increases the z-value, and makes it more likely to reject the null hypothesis, that there is no difference between the two groups.
Learn more here:
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The local sporting goods store is having a 40% off sale on hockey gear that normally costs $100. You will have to pay a 7% sales tax, based on the discounted price, on any purchase you make. Which statements are true about the problem? Check all that apply.
A.You can simplify the problem by calculating 33% of $100.
B.You should find the discounted price of the gear first.
C.The tax should be calculated on the original $100 price.
D.The discount should be calculated on the original $100 price.
Answer:
a, d
Step-by-step explanation:
Hope this helps
let me know weather it is right or wrong
The area of rectangle ABCD is 28 cm^2
a) What is the length of side AB in terms of x?
b) If the area of rectangle ABCD is 28cm^2
we can show that x2 + ax=b
a and b are integer values.
Work out the values of a and b.
The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:
Area = length * width
From the image:
Length of AB = x + 4
Length of BC = x + 6
The area of rectangle ABCD = Length of AB * Length of BC
28 = (x + 4)(x + 6)
x² + 10x + 24 = 28
x² + 10x = 4
Comparing with x² + ax = b gives:
a = 10, b = 4
Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
Find out more at: https://brainly.com/question/15019502
The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:
Area = length * width
From the image:
Length of AB = x + 4
Length of BC = x + 6
The area of rectangle ABCD = Length of AB * Length of BC
28 = (x + 4)(x + 6)
x² + 10x + 24 = 28
x² + 10x = 4
Comparing with x² + ax = b gives:
a = 10, b = 4
Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
A small business reported a net loss of $45 in January and a gain of $55 in February. What is the company's net profit?
Can you figure out if the slopes are parallel, perpendicular or neither and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answer:
1. C, 2. A, 3. C, 4. B
Step-by-step explanation:
Parallel: slopes are equal. In problem 2, the slopes appear to be 2 ("rise over run") One line passes through points (2, 1) and (3, 3) -- y increases by 2 if x increases by 1. The other line passes through points (0, 3) and (1, 5) -- y increases by 2 if x increases by 1. The lines have the same slope.
Perpendicular: slopes are opposite reciprocals (they have opposite signs). In problem 4, that happens: 2/3 and -3/2. That is not the relationship between slopes in problem 3. 1/3 and 3 are not opposite reciprocals.
Corrected! #4 is B (perpendicular)
A couch priced at $300 is on sale for 40% off. What is the sale price of the couch?
Answer: $180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
300-40% = 180 hshsjsbhshebs
the cost of cookies at store A are shown in the graph. The cost y for x cookies at store B is represented by the equation y=o.30x. which of the following statements are true? F. the cookies at store A cost more G. the cookies at store A cost $0.50 each H. the cookies at store B cost $0.15 each I. the cookies at store B cost more I need help ASAP please
Answer:
I
Step-by-step explanation: pick I because The cookies at store B cost more
9y?+21yz -8y?
hey, cansomebody help me? we've to factorize.
The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 9y² + 21yz⁴ - 8y²
Simplify the expression, then we have
⇒ 9y² + 21yz⁴ - 8y²
⇒ y² + 21yz⁴
Factorize the expression, then we have
⇒ y² + 21yz⁴
⇒ y(y + 21z⁴)
The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ2
Please help. Will give brainliest.
Answer:
$22100
Step-by-step explanation:
9/10 = 0.9
5/8 = 0.625
0.9 + 0.625 = 1.525
3 + 1 = 4
4 + 1.525 = 5.525
5.5 = $22000
0.025 = $100
$22000 + $100 = $22100
does anyone know what the answers are to this question? thank you sm if you help!! :)
Which variable expression represents the following word phrase?
one-half the sum of a number and three
Answer:
The correct choice should be B.
Tell me if I'm wrong.
write the ratio in simplest form 30 in. to 1ft
Given triangle MTW is congruent to triangle BGK,find y.
Answer:
y = 8
Step-by-step explanation:
As MTW and BGK are congruent
angle T = angle G
4x - 3 = 45
in triangle MTW
angle M = 180 - (T + W)
= 180 - (45 + 41)
= 180 - 86
= 94
and angle M = B
11y + 6 = 94
11y = 94 - 6
11y = 88
y = 8
how about −2x × 2x ???
thanks
[tex] \: \: \: \: \: [/tex]
[tex] = - 4 {x}^{2} [/tex]
hope it helpsrefer to the attachment
=> -2x × 2x
=> -4x²
Find the value of x.
Answer:
x = 69
Step-by-step explanation:
2x - 3 = 135
2x = 135 + 3
2x = 138
2x/2 = 138/2
x = 69
What is the name of this angle?
Help
Answer:
Acute is correct. It should not be confused with the girl at the desk ahead. She's a cutie. Cuties all have angles, so caution.
Step-by-step explanation:
Determine whether the lines are parallel, perpendicular, or neither.
2x+y=6
y=1/2x−7
Answer:
Step-by-step explanation:
2x + y = 6
y = -2x + 6
Comparing this with y = 1/2x - 7
Multiplying the 2 slopes:
-2 * 1/2
= -2/2
= -1
- this means that the 2 lines are perpendicular.
. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 3 16 4liters per minute. The tank also has a drain that allows the solution to leave the tank at a rate of 4 19 5liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences. please be helpful no links that there not helpful ok :)
Answer:
345645
Step-by-step explanation:
60 x 45
Find the nth term of this sequence
-3 -5 -7 -9 -11 ...
Answer:
Step-by-step explanation:
Answer:
2n-1
Step-by-step explanation:
-5 ---> -3 = 2
-3 -2= -1
Please help asap. I give brainliest and points plz no links i grinded for these points
LOOK AT THE PIC
Represent the following expressions as a power of the number a where a not = 0
((a^-2)^-1)^-1 divided by ( a divided by a ^-1)^2
Step-by-step explanation:
[tex]((a^{-2})^{-1})^{-1}:(a:a^{-1})^2 =[/tex][tex]a^{(-2)*(-1)*(-1)}:(a^{1-(-1)})^2 =[/tex][tex]a^{-2}:(a^2)^2 =[/tex][tex]a^{-2}:a^4=[/tex][tex]a^{-2-4}=[/tex][tex]a^{-6}\\ or\\ 1/a^6[/tex][tex]\\ \rm\leadsto ((a^{-2})^{-1})^{-1}/(a\div a^{-1})^2[/tex]
[tex]\\ \rm\leadsto (a^2)^{-1}/(a^2)^2[/tex]
[tex]\\ \rm\leadsto (a^2)^{-1-2}[/tex]
[tex]\\ \rm\leadsto (a^2)^{-3}[/tex]
[tex]\\ \rm\leadsto a^{-6}[/tex]
i dont get it can u guy help me
Answer:
y = x + 8
Step-by-step explanation:
Let's build the equation:
There are 8 entries to start
y = 8
Adding 1 entry every day
y = x + 8