Answer:
Add 8 to both sides of the equation.
−6x²−2−3x+8=0 Add −2and 8.
−6x²−3x+6=0
Factor −3 out of −6x²−3x+6.
−3(2x²+x−2)=0
Divide each term by −3 and simplify.
2x²+x−2=0
Use the quadratic formula to find the solutions.
(−b±√b2−4(ac))/2a
Substitute the values a=2 , b=1, and c=−2 into the quadratic formula and solve for x .
(−1±√12−4⋅(2⋅−2))/(2⋅2) Simplify.
x=−1±√174
The final answer is the combination of both solutions.
x=(−1−√17)/4, (−1+√17/)4
The result can be shown in multiple forms.
Exact Form:
x=(−1−√17)/4, (−1+√17)/4
Step-by-step explanation:
Choose the number sentence that illustrates the distributive property of multiplication over addition.
8 x (6 + 4) = (8 + 6) * (8 + 4)
8 x (6 + 4) = (8 x 6) + (8 x 4)
8 x (6 + 4) = (8 x 6) + 4
Split the following into partial fractions.
1. x
(x+2)(x+3).
2. 11−3x
x2+2x−3
.
3. 2x
2−9x−35
(x+1)(x−2)(x+3).
4. x
3−2x
2−4x−4
x2+x−2
.
5. 2x+3
(x−2)3
.
6. 3+6x+4x
2−2x
3
x2(x2+3) .
Answer:
Go on a calotor
Step-by-step explanation:
You can do this I know you can
How do you work them out?
Answer:
work what out?
Step-by-step explanation:
i need the equation or a picture or something to elaborate this
PLZ I NEED TO GET BRAINLIEST FOR SOMETHING
Answer:
what workout
Step-by-step explanation:
A figure is shown.
8x
7x
44.4°
What is the measure, in degrees, of the highlighted angle?
We know that the sum of a straight line is 180° . So here there are 3 angles in a straight line . And the sum is 180° . So that ,
[tex]\tt\to Sum_{(angles \ of \ a \ straight \ line)}= 180^o \\\\\tt \to 7x + 8x + 44.4^o = 180^o \\\\\tt\to 15x = 180^o - 44.4^o \\\\\tt\to 15x = 135.6^o \\\\\tt\to x =\dfrac{135.6^o}{15}\\\\\tt\to \boxed{\orange{\tt x = 9.04^{\circ} \approx 9^{\circ} }}[/tex]
So the measure of angle that is highlighted will be 8x = 8(9) = 72°
Answer:
72.32degrees
x is 9.04
Step-by-step explanation:
7×9.04=63.28
8×9.04=72.32
44.4+63.28+72.32=180
Compute the exact value of the function for the given x-value without using a calculator. (2 points) f(x) = 5x for x = -1
Answer:
The exact value of the function for the given x-value is of -5.
Step-by-step explanation:
In this question, we compute the numeric value of the function f(x) for x = -1, that is, we replace every instance of x in the function by -1.
f(x) = 5x for x = -1
[tex]f(-1) = 5(-1) = -5[/tex]
The exact value of the function for the given x-value is of -5.
x=?.........................
Answer:
x = 58°
Step-by-step explanation:
Length of tangents drawn to a circle from a point outside the circle, are equal in measure.
By using this property,
Two tangents PQ and PR will be equal.
And angles opposite to these sides will be equal.
Therefore, ∠PQR ≅ ∠PRQ
By triangle sum theorem,
m∠PQR + m∠PRQ + m∠QPR = 180°
x° + x° + 64° = 180°
2x = 180 - 64
2x = 116
x = 58°
What is the width of a rectangular prism with a length of 13 feet, volume of 11,232 cubic feet, and height of 36 feet?
Answer:
24
Step-by-step explanation:
Simplify the expression and write your answer as a power
10
Answer:
10^88
Step-by-step explanation:
You have to multiply the exponents since they are in parenthesis.
Good Luck!
Answer:
The answer is C. 10^88
Step-by-step explanation
Whenever you have an exponent written like this, you must multiply the 8 and 11. Which will give you 10^88. I hope this has helped you! :3 Sorry if it is incorrect.
Find the area of the triangle
Answer:
[tex] \frac{4 \times 5}{2} = 10[/tex]
PLEAES HELP 80 POINTS with branily I really need help and I will be forever in det to the person that helped me Bec this Is 40% of my grade And please don't steal my points I need them in doing a give away soon. :)
On the coordinate plane shown below, points
G and I have coordinates (6,4) and (3,2) , respectively.
1)Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
G and I
2) on a coordinate plane. Use complete sentences to describe the strategy.
Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.
Use the distance formula and the coordinates of points
G and I
3) to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answer:
sorry wanted pionts
Step-by-step explanation:
umm sorry
Answer: :Given : points G and I have coordinates (6,4) and (3,2)
To Find : Use Pythagorean theorem to calculate the straight line distance between points G and I
Solution:
points G and I have coordinates (6,4) and (3,2)
Draw a line parallel to y axis passing through G
Draw a line parallel to x axis passing through I
Intersection point K ( 6 , 2)
IK = 6 - 3 = 3
GK = 4 -2 = 2
ΔIKG right angled triangle
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
GI² = IK² + GK²
=> GI² = 3² + 2²
=> GI² = 13
=> GI = √13
using distance formula
G (6,4) and I (3,2)
= √(6 - 3)² + (4 - 2)²
= √3² + 2²
= √9 + 4
= √13
Learn More:
different approaches of Pythagoras theorem - Brainly.in
brainly.in/question/10516214
13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...
brainly.in/question/19749562
Find two consecutive whole numbers that
82 lies between.
Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100
Find how many quarts of 5% butterfat milk and 2% butterfat milk should be mixed to yield 45 quarts of 3% butterfat milk.
The mixture should contain quarts of the 5% butterfat milk.
Answer:
It would take 4 quarts of 5% buttermilk and 41 quarts of 2% buttermilk to make 45 quarts of 3% buttermilk.
Step-by-step explanation:
Let the number of 5% quarts = x
Let the number of 2% quarts = y
x+y=45
y=45-x
(.05)x+(.02)y=(0.03)45
5x+2y=102
5x+2(45-x)=102
5x+90-2x=102
3x=12
x=4
y=45-x=45-4=41
So it would take 4 quarts of 5% buttermilk and 41 quarts of 2% buttermilk to make 45 quarts of 3% buttermilk.
a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?
what is the answer in miles ??
PLEASE HELP ME !!!!
Answer:
450 miles
Step-by-step explanation:
First you calculate miles per gallon, which you do by dividing 300/20. This gives us 15. So you can go 14 miles on one gallon.
From there you multiply 15 by 30, since you'll be driving 30 miles. This gives us 450 miles.
Step-by-step explanation:
[tex] \frac{300}{x} \times \frac{20}{30} = \frac{20x}{20} \frac{9000}{20} x = 450miles[/tex]
What is the consequence of L'hopital's Rule?
Answer:
So, L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit. (Brainliest? :3)
Step-by-step explanation:
Which value is NOT equivalent to the others
PLS HELP :(
Answer:
Its 3 on top of 4
Answer:
The top right one
Step-by-step explanation:
4x4(2)
no links plz help
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer is essentially d
Decide whether the following statement is true or false. An infinite number of triangles can be created using the same three angle measures
Answer:
True
Step-by-step explanation:
I took the test!
Answer:
true is the answer
There are an infinite number of triangles which can be constructed with angles measuring this.
There are an infinite number of lengths the sides of the triangles can be while the angles stay the same measure.
5+5(6*7)Easy points cause I love y’all pur
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1. Una esfera de latón de 3 pies
cúbicos a 22°C se expuso al calor hasta alcanzar una temperatura de
66°C. ¿Cuál será su nuevo volumen'si el coeficiente de dilatación lineal del latón es de 18x1095
Answer:
Tell in english plss
Step-by-step explanation:
i dont understangd okk
Becicy is renting a car for her vacation. The rental costs 5350 per week plus 20 cents per mile. If Becky can spend no more than $500,
how far can she travel
Answer:
750 miles
Step-by-step explanation:
Given that,
The rental costs 350 per week plus 20 cents per mile.
Becky can spend no more than $500.
Let he travel x miles. We can form an equation as follows :
350 + 0.2x = 500
0.2x = 500-350
0.2x = 150
x = 750 miles
Hence, she can travel 750 miles.
Need help asap 10 points, provide explanation please.
Answer:
Step-by-step explanation:
Use the distance formula between points to find all sides:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
AB=[tex]\sqrt{13}[/tex]
BC=[tex]\sqrt{13}[/tex]
CA=[tex]\sqrt{26}[/tex]
This is a 45° 45° 90° triangle, where two of the sides are equal and the other side is the first two sides times [tex]\sqrt{2}[/tex], so yes, it is a right triangle.
Answer:
Answer D is correct.
Step-by-step explanation:
By inspection, the side lengths are {3, 4, 5}, and this triplet satisfies the Pythagorean Theorem: 3^2 + 4^2 = 5^2. Thus this IS a right triangle.
One could also find the lengths of the three sides using the distance formula and the endpoints of each line segment forming the triangle.
Answer D is correct.
Which expression is NOT equivalent to 8x ?
Answer:
B
Step-by-step explanation:
7x + 1 isn't equal to 8x
For example:
Addition. In this equation, you can add all of the coefficients (2, 5, and 4) because the variables are the same (a).
2a + 5a + 4a = 11a
Subtraction. In this equation, you can subtract all of the coefficients (11, 5, and 4) because the variables are the same (a).
11a – 5a – 4a = 2a
20. An expression is shown.
2(x+3) - (x-1)
Create an equivalent expression without parentheses.
8
157+7
Answer:
What you have is correct:
8/15x+7
Step-by-step explanation:
6/5x+6-2/3x+1
18/15x-10/15x+6=
8/15x+7
Mr. Wilcox would really like his laptimes to be consistently between 1.75 and 1.85 minutes.
What proportion of his laps were in this range?
Answer:
Use normalcdf ( 1.75, 1.85, 1.84, 0.07 )
Doc and Marty should have laptimes between 1.75 and 1.85 approximately 45.75% of the time.
Step-by-step explanation:
Consider the following time series data. Week 1 2 3 4 5 6 Value 18 12 15 10 18 14 Using the naive method (most recent value) as the forecast for the next week, compute the following measures of forecast accuracy. (a) mean absolute error MAE = (b) mean squared error MSE = (c) mean absolute percentage error (Round your answer to two decimal places.) MAPE = % (d) What is the forecast for week 7?
Answer:
(a) MAE = 5.20
(b) MSE = 10
(c) MAPE = 38.60%
(d) Forecast for week 7 = 14
Step-by-step explanation:
Note: See the attached excel for the calculations of the Error, Error^2, and Error %.
(a) mean absolute error
MAE = Total of absolute value of error / Number of observations considered = |Error| / 5 = 26 / 5 = 5.20
(b) mean squared error
MSE = Total of Error^2 / Number of observations considered = Error^2 / 5 = 150 / 5 = 10
(c) mean absolute percentage error (Round your answer to two decimal places.)
MAPE = Total of Error % / Number of observations considered = Error % / 5 = 193.02 / 5 = 38.60%
(d) What is the forecast for week 7?
Since the forecast is based on the naive method (most recent value), the forecast for week 7 is value for week 6. Therefore, we have:
Forecast for week 7 = 14
Pls HELP!!! Answer accurately... this should be very easy,
Answer:
85
Step-by-step explanation:
He has 170 correct answers, so 170 * 0.5 = 85 points #0.5 points per 1 question
The area of an ellipse with axes of length
2a and 2b is ab.
The percent change in the area when a increases by
2.74% and b increases by 2.65% is
Answer:
The area increases by 5.46261%
Step-by-step explanation:
Well firstly, the area of an ellipse is not ab, but it's proportional to ab ([tex]\pi ab[/tex] where a and b are the semi-minor and semi-major axes).
This tells us that when a increases by 2.74% and b increases by 2.65% the new area will be:
[tex]A = \pi \cdot (a \cdot 102.74\%)(b \cdot 102.65\%) = \pi a b \cdot 102.74\% \cdot 102.65\% = \pi ab \cdot 105.46261\%[/tex]
The percentage change in area of the ellipse is 5.5%
The area of an ellipse with an axes of length of 2a and 2b is πab.
Area of ellipse = πab
Since a increases by 2.74%, hence a = (100% + 2.74%)a = 1.0274a
Also, b increases by 2.65%, hence b = (100% + 2.65%)b = 1.0265b
Therefore the new area = π * 1.0274a * 1.0265b = 1.055πab
The ratio in the area = 1.055πab/ πab = 1.055
The percentage change in area of the ellipse is 5.5%
Find out more at: https://brainly.com/question/8777183
Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total value of the account after t years. What will be the total value of the account after 3 years?
Answer:
The final balance is $5,389.
The total compound interest is $389.
Step-by-step explanation:
Dilate the figure by the scale factor. Then enter the new coordinates. K=2
A([]),([])
B([]),([])
C([]),([])
(-3,2),(1,1)(-1,-1)
Answer:
A = (-6, 4)
B = (2,2)
C = (-2, 2)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be expressed as (kx, ky). Note that each coordinate is multiplied by the scale factor
Given the coordinates (-3,2),(1,1)(-1,-1), if they are dilated by a factor of 2, the resulting coordinate will be;
A = (2(-3), 2(2)) = (-6, 4)
B = (2(1),2(1)) =(2,2)
C = (2(-1), 2(-1)) = (-2, 2)
Is the unknown side a leg of the triangle or the hypotenuse?
Answer:
I think it a triangle