Answer:
4x² - 5x - 8 = 0
Step-by-step explanation:
Standard form of a quadratic: ax² + bx + c
Move all terms to one side and sort them based on the level of degree:
[tex]4x^2-9x-8=-4x\\4x^2-9x+4x-8=0\\4x^2-5x-8=0[/tex]
Answer:
4x^2 -5x-8 =0
Step-by-step explanation:
ax^2 + bx + c = 0 is the standard form
4x^2 -9x-8 =-4x
Add 4x to each side
4x^2 -9x+4x-8 =-4x+4x
4x^2 -5x-8 =0
Which statement about the slope of the line is true?
It is −2 throughout the line.
It is fraction negative 1 over 2 throughout the line.
The slope from point O to point A is one-half times the slope of the line from point A to point B.
The slope from point O to point A is two times the slope of the line from point A to point B.
Explanation:
Let's say we started at point B (-6, 3). To get to point A(-4,2), we move down 1 and to the right 2. This movement determines the slope.
slope = rise/run = -1/2
rise = -1 and run = 2
A negative rise value means we go downhill when moving to the right.
Solve 12x - 6] >10 please help ❤️❤️
Answer:
Hya there!!
_______________________
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x > 4 /3
Interval Notation:
( 4 /3 , ∞ )
_______________________
“Sleep my little baby-oh
Sleep until you waken
When you wake you'll see the world
If I'm not mistaken...
Kiss a lover
Dance a measure,
Find your name
And buried treasure...
Face your life
Its pain,
Its pleasure,
Leave no path untaken.”
― Neil Gaiman, The Graveyard Book
_______________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
(4x2 - x - 7) + (2x3 + 6x2 - 11)
Adding polynomials
Answer:
2x3 + 10x2 - x - 18
Step-by-step explanation:
hope this helps! goodluck & enjoy the rest of ur day /or night.
Answer:
(4x2 - x - 7) + (2x3 + 6x2 - 11) Adding polynomials
Step-by-step explanation:
orther from least to greatest the next fraction 8 1\3 , 3 1\8 , 8 1\5
Answer:
3 1/8, 8 1/5, 8 1/3
Step-by-step explanation:
Graph the solution to this inequality on the number line.
w−0.8>−2.4
First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.
Given the inequality expression:
w−0.8>−2.4
Inequalities are expressions separated by an unequal sign.
According to the given question, we need to find the solution for "w"
w−0.8>−2.4
Add 0.8 to both sides
w−0.8+0.8>−2.4 + 0.8
w > -2.4 + 0.8
Simplify the result by adding to have:
w > -1.6
Find the number line representing the solution attached;
Learn more on number line here: https://brainly.com/question/24644930
Help
Activity:
2x²2+2x-312=0
Answer:
Step-by-step explanation:
Please help, due date is tomorrow
Answer:
1/4 is on the second line
3/8 is the the third one
3/8 is bigger
Hope This Helps!!!
Answer:
Hope this helps you.......
please help me!
ty :)
Answer:
5
Step-by-step explanation:
The distance between the points in RISE/RUN is 10/2.
10/2 = 5. Your slope is 5
Hope that helps. Brainliest is appreciated
How many whole groups of 2 can we make with 7?
Answer:
We can make 3 whole groups of 2.
Hope that helps. x
Step-by-step explanation:
2, 4, 6, 8
The closest number near to 7 is 6 so we do 6 divided by 2 which equals 3.
combine k/4 and 5k
pls pls pls pls
[tex]\dfrac k4 + 5k = \dfrac{k + 20k}4 = \dfrac{21k}4[/tex]
simplify 6x-3 + 2x+5
Answer:
8x + 2
Step-by-step explanation:
Like terms:
6x and 2x
-3 and 5
6x + 2x = 8x
5 - 3 = 2
8x + 2
Answer:
x = 1
Step-by-step explanation:
6x - 3 + 2x + 5 = 0 <=> (6x+2x) - (3+5) = 0 <=> 8x - 8 =0 <=> 8x = 8 <=> x = 1
please help if you can
Answer:
Identity property.
Step-by-step explanation:
Any number added to 0 keeps its original value, keeping its identity.
Question 7 of 25
If f(x) = 3x2 - 2x + 4 and g(x) = 5x2 + 6x - 8, find (f+ g)(x).
A. (f+ g)(x) = -2x2 - 8x+ 12
B. (f+g)(x) = 8x2 + 8x + 12
O C. (f+g)(x) = 2x2 + 8x - 12
D. (f+g)(x) = 8x2 + 4x - 4
Answer:
D. (f+g)(x) = 8x^2 + 4x - 4
Step-by-step explanation:
The notation (f+g)(x) is shorthand for f(x) +g(x).
(f +g)(x) = f(x) +g(x) = (3x^2 -2x +4) +(5x^2 +6x -8)
= (3 +5)x^2 +(-2 +6)x +(4 -8)
(f +g)(x) = 8x^2 +4x -4
Bro these admin people!! Lol
Answer:
U should
No u must keep swearing on them lolllll
Step-by-step explanation:
Omg seems kokuladina freeze on fire with swear words.
Solve. 213−12x=−23 Enter your answer in the box.
[tex]213 -12x = -23\\\\\implies 12x = 213 +23 = 236\\\\\implies x = \dfrac{236}{12}= \dfrac{59}3 = 19.67[/tex]
The value of x from the given equation is [tex]19\frac{2}{3}[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is 213-12x=-23.
Now, 213+23=12x
⇒ 12x=236
⇒ x=236/12
⇒ x=59/3
⇒ x=[tex]19\frac{2}{3}[/tex]
Therefore, the value of x is [tex]19\frac{2}{3}[/tex].
To learn more about the solution of an equation visit:
https://brainly.com/question/14506845.
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how do I find the volume of this shape?
Answer:
length times witdth times height
The weight of a beaker is measured to be 78 grams, but the actual weight of the beaker is 82 grams. What is the approximate percent error in the measurement? A) 4% B) 5% C) 6% D) 7%
The approximate percentage error on the weight of the beaker is 5%
What is percentage error?Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.
Error = Actual value - estimated value =
Actual value = 82g, Estimated value = 78g
Error = 82 - 78 which is 4
percent error = error/estimated x 100%
percent error = 4/78 x 100 which is 5%
In conclusion the percent error is 5%
Learn more about percentage error: https://brainly.com/question/17880579
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What is the length of Line segment G D? GD =.
The length of the line segment GD is 10.5
To get the length of the line segment GD, we will use similarity theorems of triangles to have:
ED/FD = GD/DH
Substitute the given sides to have:
6+GD/(8+14) = GD/14
6+GD/22 = GD/14
Cross multiply
22GD = 14(6+GD)
22GD = 84 + 14GD
22GD - 14GD = 84
8GD = 84
GD = 84/8
GD = 10.5
Hence the length of the line segment GD is 10.5
Learn more on similarity theorems of triangle here: https://brainly.com/question/8242716
how many 4/5 are in 2
Answer:
1/10
Step-by-step explanation:
Given that x=2, y=5 and z=3 evaluate the value of x-2y
Answer:So firstly, plug in the numbers into the expression:
Next, solve the exponents:
Next, solve the multiplications:
Lastly, combine everything, and your answer will be -23.
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
By substituting the given numeric values for x,y and z into the expression.
That is
(3)3−2(5)2−3(3)3+(−3)4
------------------------------------------------
I'll evaluate each term separately.
(3)3=3×3×3=9×3=27
2(5)2=2×(5×5)=2×25=50
3(3)3=3×(3×3×3)=3×27=81
(−3)4=[(−3)×(−3)]×[(−3)×(−3)]=9×9=81
-------------------------------------------------
Replace these values back into the expression , noting the values which are subtracted.
⇒27−50−81+81=27−50=−23
2. A small university is trying to monitor its electricity usage. For a random sample of
30 weekend days (Saturdays and Sundays), the student center used an average of 94.26 kilowatt hours (kWh) with standard deviation 43.29. For a random sample of 60 weekdays, (Monday - Friday), the student center used an average of 112.63 kWh with standard deviation 32.07.(Please show work)
a) Test, at the 5% level, if significantly more electricity is used at the student center, on average, on weekdays than weekend days. Remember to check the conditions, identify the hypotheses, define your parameter, find the test statistic, find the p-value, and give a conclusion in context.
b) Construct a 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days. Use two decimal places in your margin of error.
Using the t-distribution, it is found that:
a) Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.
b) The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).
Item a:
At the null hypothesis, it is tested if there is no difference, that is, the subtraction is at most 0, hence:
[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]
At the alternative hypothesis, it is tested if there is difference, that is, the subtraction is positive, hence:
[tex]H_1: \mu_1 - \mu_2 > 0[/tex]
The standard errors are given by:
[tex]s_1 = \frac{32.07}{\sqrt{60}} = 4.14[/tex]
[tex]s_2 = \frac{43.29}{\sqrt{30}} = 7.9[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 112.63 - 94.26 = 18.37[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{4.14^2 + 7.9^2} = 8.92[/tex]
The standard deviation are given for the samples, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{18.37 - 0}{8.92}[/tex]
[tex]t = 2.06[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 30 + 60 - 2 = 88 df is [tex]t^{\ast} = 1.66[/tex]
Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.
Item b:
The interval is:
[tex]\overline{x} \pm t^{\ast}s[/tex]
Hence:
[tex]\overline{x} - t^{\ast}s = 18.37 - 1.66(8.92) = 3.56[/tex]
[tex]\overline{x} + t^{\ast}s = 18.37 + 1.66(8.92) = 33.18[/tex]
The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).
A similar problem is given at https://brainly.com/question/25812826
Mathematic 19 don’t understand
Answer:
1.75 x 10^3
Step-by-step explanation:
This is quite a simple question really, we just have to remember one thing, the exponent laws. When both exponents have the same base and are getting divided by each other, you subtract the exponents.
So in this case we have 10^8 on top divided by the 10^5 on the bottom, so now you just subtract the 5 from 8 and you get 3 as your final exponent. So your power would just be 10^3.
The final step is just dividing 7 by 4 which is 1.75
Combine the power and 1.75 together to get the correct notation
1.75 x 10^3
Choose the best response to the question below:
When multiplying the same variable to different exponents add the exponents and multiply the constant numbers:
3x x 2x = 6x
^2 + ^3 = ^5
Answer is a. 6x^5
what equation can help you find out how many adults are there if tickets cost $9 for adults plus one child and $3 for children the total cost of the movie is $48
Answer:
48 ÷12 will help you 48 is cost divided by total cost which means cost of one adult and one child
HELP PLEASE IS IMPORTANT!
Solve the equation by using the Quadratic Formula.
2x^2 =9x-5
Find the value of the unknown value in the following equation
14x + 9 =79
PLZ HELP
Answer:
x = 5
Step-by-step explanation:
If I understood correctly, you are looking for x. you bring over the 9, which you subtract and are left with 14x=70. Then divide both sides by 14 and you get x=5. Also I'd recommend getting the Symbolab app.
I need a step by step explanation please on this please so I can understand it better
Answer:
P = 29 units
Step-by-step explanation:
Let h represent the height of the triangle. Then 2h is the length of the base. The area is given by ...
A = 1/2bh
36 = 1/2(2h)(h) = h²
h = √36 = 6
base = 2h = 12
The base of the isosceles triangle is 12 units, and its height is 6 units.
__
The altitude line makes a right angle with the base, dividing it into two right triangles with sides of length 6. The hypotenuse (s) of each of those is given by the Pythagorean theorem as ...
s = √(6² +6²) = 6√2
Then the perimeter of the triangle is ...
P = base +2s = 12 +2(6√2) = 12(1 +√2) ≈ 28.97 ≈ 29
The perimeter of the triangle is about 29 units.
_____
Additional comment
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
For an isosceles right triangle, this means the hypotenuse is √2 times the side length. (This is a useful relationship to remember, as it is used a lot in algebra and geometry problems.) The acute angles in such a triangle are 45°.
AtQ
[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(2x)(x)=36[/tex]
[tex]\\ \rm\hookrightarrow x^2=36[/tex]
[tex]\\ \rm\hookrightarrow x=6[/tex]
Base=12Apply Pythagorean theorem
[tex]\\ \rm\hookrightarrow H^2=6^2+6^2=36+36=72\implies H=8.5[/tex]
Perimeter
2(8.5)+12=17+12=29unitsfind the highest common factor
Answer:
3x
Step-by-step explanation:
because both terms are common 12 and 6 is 3 and x² and x is x
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
Its 27
Step-by-step explanation:
Which graph shows the original figure rotated 180 degrees
Answer:
I believe it would be B.
Step-by-step explanation:
Half a circle is 180 degrees, which is the location of option B. In other words you just rotate it halfway around and you'll find it at 180°.