Answer:
D. 8x³ + 4x⁷ - 3x³ + 3x² - 2x + 9
Step-by-step explanation:
(8x⁸ - 9x³ + 3x² + 9) + (4x⁷ + 6x³ - 2x)
Apply distributive property to eliminate parentheses
8x⁸ - 9x³ + 3x² + 9 + 4x⁷ + 6x³ - 2x
Collect like terms
8x⁸ + 4x⁷ - 9x³ + 6x³ + 3x² - 2x + 9
8x³ + 4x⁷ - 3x³ + 3x² - 2x + 9
Margie says the set of numbers, 0.1, -1, -21
4
, 3, are in order from least to greatest. What is her error?
She did not use the correct common denominator.
The 3 is in the wrong place.
She treated all the numbers as positive.
The –1 should be the first number on the list.
Answer:
-21, -1, 0.1, 3, 4
Step-by-step explanation: the higher the negative number is the lower the number is for example -30 is lowe then -1
Answer:
She treated all the numbers as positive.
Step-by-step explanation:
ik because i am from the future
Jodie bought a refrigerator on sale for 35% off the original price, for $97. What was the price of the refrigerator before the sale?
$97 = (Original Price) - (35% of Original Price)
$97 = (Original Price) - (0.35 of Original Price)
$97 = (1 - 0.35) of (Original Price)
$97 = (0.65) of (Original Price)
$97 = 0.65 · (Original Price)
Divide each side by 0.65 .
$97/0.65 = Original Price
$149.23 = Original Price
In ΔFGH, f = 83 inches, g = 11 inches and ∠H=60°. Find the length of h, to the nearest inch.
Answer: 78
Step-by-step explanation:
The length of h to the nearest inch is 78 inches.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given that, In ΔFGH,
f = 83 inches, g = 11 inches and ∠H = 60°.
Using the law of cosines,
h² = f² + g² - 2fg cos(H)
Substituting,
h² = 83² + 11² - (2 × 83 × 11) cos (60°)
= 7010 - (1826 × 1/2)
= 7010 - 913
= 6097
h = √6097 = 78.083 inches ≈ 78 inches
Hence the length of h is 78 inches.
Learn more about Law of Cosines here :
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Find the slope and the y-intercept of the line.
y=-2
5
Ex+6
slope:
.
08
Х
$
y-intercept: 0
Answer:
Slope = -⁵/2
y-intercept = 6
Step-by-step explanation:
The equation, [tex] y = -\frac{5}{2}x + 6 [/tex], is given in the slope-intercept form, y = mx + b
Where:
m = slope
b = y-intercept
Therefore:
Slope of the equation = -⁵/2
y-intercept if the equation = 6
What is the difference between 3 more than 1/3 and 3
Answer:
Step-by-step explanation:
3 more than 1/3 represents 3 + 1/3 Which would equal 3 and 1/3 or 10/3. This is different than 3 since it equals 9/3. They don’t equal each other due to it being 3 added to 1/3
write one way to read the expression 1/4×(48+8)
Answer:
14
Step-by-step explanation:
= 1/4(56)
= 14
step by step
John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left to read?
Answer:
5/12
Step-by-step explanation:
The whole book is 1.
So This will be your equation.
1/3 + 1/4 = 1
4/12 +3/12 = 1
7/12 = 1
Now you minus 7/12 from 1
1-7/12 is how much is left
12/12-7/12= 5/12
The fraction that represents the book john has left to read is 5/12.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.
Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -
1/3 + 1/4 + x/y = 1
x/y = 1 - 7/12
x/y = 5/12
Therefore, the fraction that represents the book john has left to read is 5/12.
To solve more questions on Equation Modelling, visit the link below -
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Maria orders a salad and a drink for lunch at a resturant. A salad costs $4.75 and a drink costs $1.65. How much tip should maria leave the server if she wants to tip her 18%?
A. $5.24
B. $7.55
C. $6.40
D. $1.15
the height of a shed is 6cm. a ladder leans agaisnt the shed with its base 4.5 m away, and its top just reaching the roof. what is the length of the ladder?
Answer:
4.5m
Step-by-step explanation:
The set up is a right angles triangle
Height of the shed = opposite side = 6cm
Distance of the ladder from the shed = adjacent = 4.5m
Lenght of the ladder = Hypotenuse = x
Using pythegoras theorem to find the length of the ladder
hyp² = opp²+adj²
hyp² = 0.06² + 4.5²
hyp²= 0.0036+20.25
hyp² = 20.2536
hyp = √20.2536
hyp = 4.50m
Hence the length of the ladder is 4.5m
-8x-6 pls holpp :((((
Answer:
The answer is 48.
Step-by-step explanation:
None.
Select the correct answer. Which graph represents this inequality? 3x+y<1
Answer:
the answer is c the one above d
Step-by-step explanation:
The price of a certain new car increases by the same amount each year the first year it was $17,200 and then the 12th year it was $30,400 in which year with a car cost $36,400?
Answer:
k47n4
Step-by-step explanation:
Answer: would it be the 12th year and a half
Step-by-step explanation: because since it increases then half of the year it would be $30,400
A 8 − 4π
B. 8 - 8π
C. 4π − 8
D 8π − 8
E 16π - 8
Please tell me how to do this
Answer:
4.56637
17.13274
4.56637
17.13274
42.26548
Step-by-step explanation:
math
Pls anaerw this fast
Answer:
what do you need help with
Select the equation that is true.
6,714 ÷ 103 = 6.714
6,714 ÷ 103 = 67.14
6,714 ÷ 103 = 671.4
6,714 ÷ 103 = 6,714
Answer: None of the choices is correct.
6,714÷103 is about 65.184
Step-by-step explanation:
The closest answer is the second choice. But there must be a typo in the question.
6,714÷100 = 67.14
I hope this helps. You might be able to ask your teacher about the mistake in the question.
Determine whether the function f(x) = -920 + 6 + 2 is even, odd or neither.
Answer:
Even
Step-by-step explanation:
The answer is -912 which is even because it ends with a 2.
I hope this helps. Your Welcome:)
Hello please help me solve this :) will give braisnlt
What’s the order ???
For immigration
C A B E D
i think this is the answer
If ABD ~ HGE and AC and HF are angle
bisectors, find x. And If LJK ~ PQN, find x.
Answer:
Q1. 9.6, Q2. 33Step-by-step explanation:
Corresponding parts have same ratio:
Q1
x/24 = 14/35x = 24*2/5x = 9.6Q2
x/42.9 = 30/39x/42.9 = 10/13x = 42.9*10/13x = 33Answer:
Step-by-step explanation:
is y=4x+2 proportional?
Answer: yes
Step-by-step explanation:
a plane, initially traveling 150 mi/hr 100 east of north, suddenly enters a region where the wind is blowing at 50 mi/hr from the southwest. What is the plane's resultant direction?
Answer:
Velocity of plane is 100 mi/hr along northeast direction
Step-by-step explanation:
From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction
since the velocity of wind and plane is exactly opposite
⇒ relative velocity of plane with respect to wind is given by
[tex]v_r_e_l = v_p - v_w[/tex] where [tex]v_p[/tex] is the velocity of plane = 150mi/hr and [tex]v_w[/tex] = velocity of wind = 50 mi/hr
Therefore, [tex]v_r_e_l = v_p - v_w[/tex] = [tex]v_r_e_l = 150 - 50 = 100 mi/hr[/tex] alond northwest direction
Therefore, velocity of plane is 100 mi/hr along northeast direction
By working with the velocity vectors, we will find that the direction of motion of the plane is 28.7 south of east.
Working with the velocity vectors:
First, we need to define our coordinate axis, I will define the x-axis as the east and the y-axis as the north.
We know that the plane travels at 150 mi/hr at 100° east of north, notice that if we measure from the positive x-axis, this is equivalent to an angle of -10°.
Then the x-component of the velocity is: 150mi/hr*cos(-10°) = 147.7 mi/hrThe y-component of the velocity is: 150mi/hr*sin(-10°) = -26 mi/hr.
So the vector is:
V = < 147.7 mi/hr, -26 mi/hr >
Now we know that the wind blowing at 50mi/hr at southwest, exactly southwest would be at an angle of 225°, so the components of the vector are:
x-component: 50mi/hr*cos(225°) = -35.4 mi/hry-component: 50mi/hr*sin(225°) = -35.4 mi/hr.So the vector is:
W = < -35.4 mi/hr, -35.4 mi/hr>
The sum of the vectors gives the total velocity of the plane in the wind, we will get:
V + W = < 147.7 mi/hr -35.4 mi/hr , -26 mi/hr -35.4 mi/hr >
V + W = <112.3 mi/hr, -61.4 mi/hr>
The direction of a vector <x, y> is given by:
θ = Atan(y/x)
Then in this case the direction of the plane is:
θ = Atan(-61.4 mi/hr/112.3 mi/hr) = -28.7°
So the direction of the plane is 28.7° south of east.
If you want to learn more about vectors, you can read:
https://brainly.com/question/17108011
Pls Help..... 50 points and brainliest if you answer correctly!
Answer:
5
Step-by-step explanation:
The left side is equal to:
x/(2.52-2.02) = x/0.5 = 2x
Let's simplify the numerator of the right side.
9*(31/20 - 1.05) = 9*(0.5) = 9/2
The denominator is 43/40 - 35/8 /7 = 43/40 - 5/8 = 43/40 - 25/40 = 18/40 = 9/20.
So 2x = (9/2)/(9/20) = 10
x = 5
Answer:
x=-2835/62 or (in decimal form) 45.726
Step-by-step explanation:
Hope this helps!
Brain-List?
At the gym, Jasper was able to bench press 224 pounds, which was StartFraction 7 over 8 EndFraction of the weight that Balin was able to bench press. Which shows the correct equation and value of x, the weight that Balin could bench press
Answer:
Balin could bench press 256 pounds.
Step-by-step explanation:
Jasper was able to bench press 224 pounds, which is 7/8 of x, which is the weight that Balin was able to bench press. So, mathematically:
[tex]\frac{7}{8}x = 224[/tex]
[tex]7x = 224*8[/tex]
[tex]x = \frac{224*8}{7} = 256[/tex]
Balin could bench press 256 pounds.
Answer:
d
Step-by-step explanation:
2x + 4y − 6z = 44
x + 2y + 3z = −2
3x − 4y + 4z = −16
(x, y, z) =
Answer:
x,y,z=4,3,-4
Step-by-step explanation:
2x+4y-6x=44 = x+2y-3z=22
x+2y-3z=22
x+2y+3z=-2
x+2y-3z=22
3x-4y+4z=-16
x+2y-3z=22 ------>
2x+4y=20
x+2y+3z=-2 ------>
x+2y-3z=22 ------>
13x-4y=40
3x-4y+4z=-16 ------->
2x+4y=20
13x-4y=40
y=3
x=4
4+2x3-3z=22
z=-4
(x,y,z)=(4,3,-4)
2x4+4x3-6x(-4)=44
4+2x3+3x(-4)=-2
44=44
-2=-2
-16=-16
(x,y,z)=(4,3,-4)
I am so sorry if it is incorrect I tried :<
Add the two expressions.
−4.2x+3 and 2.5x−6
Subtract 6q from 10z
Answer:
10z-6q..............
What decimal represents 1/4
plz help need this! pic in bottom!
Answer:
Step-by-step explanation:
13d + 8 = -1
subtract 8 from both sides
13d = -9
d = -9/13
either keep it in fraction form or if you divide it out it is -0.6923
solve the literal equation
6/p=x+a for p
Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'QʻR'S'. Which rule describes this transformation? (Please leave a small explanation)
Which expression is equivalent to the expression shown?
2
4 x4
48
166
46
PLZ ANSWER I WILL GIVE BRAINLIST
Answer:
5^8 .. you have to do it like this 5^(2×4)