D = x4 + 5x – x2 + x - 1
E = x4 - 4x3 - 2x2 + 2
D + E?
D - E?
Answer:
D + E = 2x⁴ + x³ – 3x² + x + 1
D - E = 9x³ + x² + x – 3
Step-by-step explanation:
D = x⁴ + 5x³ – x² + x – 1
E = x⁴ – 4x³ – 2x² + 2
D + E : D - E :
x⁴ + 5x³ – x² + x – 1 x⁴ + 5x³ – x² + x – 1
+ –
x⁴ – 4x³ – 2x² + 0 + 2 x⁴ – 4x³ – 2x² + 0 + 2
_________________ _________________
2x⁴ + x³ – 3x² + x + 1 0 + 9x³ + x² + x – 3
PLEASE HELPPP!!! I will give brainly points
Answer:
should be a. took the test and It was horrible. I remember trying and forgot how to do everything beother
Step-by-step explanation:
no balls
The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. a 25-kg object has 980 joules of potential energy when it is 4 meters off the ground. another object has 150 joules of potential energy at 3 meters off the ground. what is the mass of the second object? round to two decimal places. 0.32 kilogram 2.88 kilograms 5.10 kilograms 45.90 kilograms
The mass of the object which is at 3 meters off the ground (earth assumingly), with the potential energy of 150 joules is given by: Option C: 5.10 kg
What is gravitational potential energy?Gravitational potential energy is the energy which a body posses because of its position.
The gravitational potential energy of a body is given as,
[tex]U=mgh[/tex]
Here, (m) is the mass of the body, (g) is the gravitational accelaration and (h) is the height of the body.
Here, for the second object, we have:
Potential energy = 150 joulesDistance from the ground = 3 mg = gravitational acceleration = [tex]9.8 \: \rm m/s^2[/tex]Let its mass be m kg, then:
[tex]U=mgh\\\\150 = m(9.8)(3)\\\\m = 50/9.8 \approx 5.10 \: \rm kg[/tex]
Thus, the mass of the object which is at 3 meters off the ground (earth assumingly), with the potential energy of 150 joules is given by: Option C: 5.10 kg
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Which statement is true about the equation (x – 4)(x 2) = 16?
The roots of the given quadratic equation are 6 and -4.
The given quadratic equation is:
[tex](x-4)(x+2)=16[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].
[tex]x^{2} -2x-8=16[/tex]
[tex]x^2-2x-24=0[/tex]
[tex]x^{2} -6x+4x-24=0[/tex]
[tex]x(x-6)+4(x-6)=0[/tex]
[tex](x-6)(x+4)=0[/tex]
[tex]x=6[/tex]
[tex]x=-4[/tex]
Hence, the roots of the given quadratic equation are 6 and -4.
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Answer:
The factored form of the equation is (x + 4)(x – 6) = 0.
(option C)
PLEASE HELP ME WITH MY MATH WHO EVER GETS IT GETS BRAINLIEST
Answer:
don't use this this is just a guess but I think that it is the lowest possible one so A It coulld be wrong
Step-by-step explanation:
E
Step-by-step explanation:
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!
PLEASE HELP ME!
Answer:
-4 and 4
Step-by-step explanation:
Method 1
Apply Difference of Two Squares Formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]
Given [tex]x^2-16=0[/tex]
Rewrite 16 as 4²
Therefore, [tex]a^2=x^2[/tex] and [tex]b^2=4^2[/tex]
[tex]\implies a = \sqrt{x^2}=x[/tex]
[tex]\implies b=\sqrt{4^2} =4[/tex]
[tex]\implies x^2-16^2=(x+4)(x-4)[/tex]
[tex]\implies (x+4)(x-4)=0[/tex]
[tex]\implies (x+4)=0 \implies x=-4[/tex]
[tex]\implies (x-4)=0 \implies x=4[/tex]
Method 2
Given equation:
[tex]x^2-16=0[/tex]
Add 16 to both sides:
[tex]\implies x^2-16+16=0 + 16[/tex]
[tex]\implies x^2=16[/tex]
Square root both sides:
[tex]\implies \sqrt{x^2}=\sqrt{16}[/tex]
[tex]\implies x=\pm4[/tex]
Therefore, x = -4, x = 4
what is 7/-13 + 4/-13
Answer:
7/-13 + 4/-13 = -7/13 - 4/13 = - 11/13
What is the range of the function shown in the graph below?
A. x ≥ 0
B. y ≤ 0
C. x ≤ 0
D. y ≥ 0
NO TROLLING OR LINKS OR I WILL REPORT.
Answer:
A
Step-by-step explanation:
Answer:
Correct answer is: B: y ≤ 0
Step-by-step explanation:
Rebbeca needs a box with a rectangular base of 36 cm^2 and a volume of 180 cm^3. What would be the height
of the box?
Answer:5cm
Step-by-step explanation: Area =length × breadth
Volume = length ×breadth ×height
180= Area ×height
180 = 36×h
180÷36=h
Ans 5
The radius of a circle is 20 centimeters.
What is the circumference, in centimeters, of the circle? Round your answer to
the nearest tenth.
Response:
Answer:
The circumference is 125.7cm
Someone help me please
Answer:
Step-by-step explanation:
A construction team builds a brick wall in 2 weeks. At the end of the
first week, the wall is 3.6 meters high. During the second week, the
team makes the wall 2.25 meters higher. The final height of the wall is
1.3 times the originally planned height.
How tall was the wall originally going to be?
Answer:
no idea sorry
Step-by-step explanation:
.... .. . .... ...... . . . . .. ... .. . .
Help!! I need to pass this class by the end of this week!!!!
60. Students were asked to write a trinomial that could not be factored using integers.
Patricia wrote: x2 + 5x - 14
Shelly wrote: x2 - x - 30
Melanie wrote: x2 + 4x - 2
Lisa wrote: x2 + 4x - 5
Which student followed the given directions?
-
-
Melanie write the quadratic equation x^2 + 4x - 2 according to the directions that write a trinomial that could not be factored using integers.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Patricia wrote:
[tex]\rm x^2+5x-14=0\\\\\rm x^2 -2x+7x-14=0\\\\\rm (x-2)(x+7)[/tex]
Shelly wrote:
[tex]\rm x^2-x-30=0\\\\\rm x^2-6x+5x-30=0\\\\\rm (x-6)(x+5)=0[/tex]
Melanie wrote:
[tex]\rm x^2+4x-2=0[/tex]
Here is the value of D:
[tex]\rm D = \sqrt{4^2-4(1)(-2)}[/tex]
D = √24
Lisa wrote:
[tex]\rm x^2+4x-5=0\\\\\rm x^2-x+5x-5=0\\\\\rm (x-1)(x+5)[/tex]
Thus, Melanie write the quadratic equation x^2 + 4x - 2 according to the directions that write a trinomial that could not be factored using integers.
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Point A is an element of a direct variation. Select two points, other than A, that are elements of this direct
A
variation.
No links please
Answer:
Step-by-step explanation:
B and C is crorect answer tha ks
Martha's class is making banners to fly outside of the school. Each banner will be in the shape of a triangle with a base of 12 inches and a height of 20 inches The class needs 12 banners. How much material will they need?
Answer:
1440 square inches of fabric
Step-by-step explanation:
Answer:
1440 square inches of fabric
Step-by-step explanation:
Solve for 1 banner
Area of 1 banner:
12*20/2
12*10
120.
12 banners,
12*120
= 1440 square inches of fabric
(or other types of material)
If 10 lemons are required to make 15 cups of lemonade at what rate are lemon being used per cup of lemonade
Answer:
2/3 lemon's per cup.
Step-by-step explanation:
10÷15=2÷3 .
Please give me brainliest.Thank you. :-):-)
Special Triangle: Solve for x and y.
Answer:
x = 8.67 and y = 10
Step-by-step explanation:
In right angled triangle
cos 60⁰ = 5/y
1/2 = 5/y
y = 10
in right angled triangle,
tan 60⁰ = x/5
√3 = x/5
x = 5√3 = 5 × 1.73 = 8.65
x = 8.67
The manager at Green Tee's golf course conducted a study to see how long it takes to complete a round of golf. The manager records the
time it takes randomly selected golfers to finish a round of golf at Green Tee's golf course. The manager conducts the survey on a golf league
day, therefore all the golfers within the sample have previous golf experience. Based on the study, the average time spent to complete a
round of golf was 4 hours.
What inference can be made from the survey?
The Inference that can be made from the survey is: B. On average, it will take 4 hours to complete a round of golf at Green Tee's golf course.
What is survey?Survey can be defined as the process of collecting data or informationso as to reach or draw a conclusion.
The survey analysis shows that it will take an average of 4 hours for an experience golfers to complete or finish a round of golf based on the fact that the golfers all had previous experience.
Therefore on average, it will take 4 hours to complete a round of golf at Green Tee's golf course.
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a flower shop is selling 2 roses for $84.00. What is the cost, in dollars, per rose?
Answer:
42
Step-by-step explanation:
2x = 84
x = roses
x = 84/2
x = 42
Answer:
$42.00
Step-by-step explanation:
You divide 84 by 2 and find the answer 42. Therefore, each rose is 42 dollars.
Angle A= ___? degrees
Angle B= ___ ?degrees
Angle C= ___? degrees
Answer:
Angle A = 45 degrees
Angle B = 64 degrees
Angle C = 60 degrees
Hope this helps!
From the observation deck of a skyscraper, Meena measures a 48∘ angle of depression to a ship in the harbor below. If the observation deck is 1068 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.
Using the slope concept, it is found that the horizontal distance from the base of the skyscraper out to the ship is of 961.6 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem:
The angle is of 48º.The vertical change is of 1068 ft.The horizontal change is of x.Hence:
[tex]\tan{48^\circ} = \frac{1068}{x}[/tex]
[tex]x = \frac{1068}{\tan{48^\circ}}[/tex]
x = 961.6
The horizontal distance from the base of the skyscraper out to the ship is of 961.6 feet.
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P: 800
Situation:
r-3.5
How many years will it take for the account to
reach $14,000? Round your answer to the
nearest hundredth.
Enter the correct answer.
Tina wants to save money for school.
Tina invests $800 in an account that
pays an interest rate of 7.5%.
DONE
C.
Answer:
huhh
Step-by-step explanation:
2. You are making wooden picture
frames of different sizes but you
have limited supplies, so you are
restricting the perimeter of each
frame to 4 feet or less and the length
to exactly 1.5 feet. Find the range of
the frame width. Show your work.
The range of the frame width for the considered case is 0.5 (feet), because for this case, it can be at max of 0.5 feet, and at minimum of 0 feet.
What is the range of a particular data set?For a set of data, the range is the difference between the maximum and minimum value. It sort of gives an idea of spread of the data.
For this case, we're given that:
Frame is rectangular (assumingly).The perimeter of the frame ≤ 4 feetThe length of the frame = 1.5 feetPerimeter of a rectangle = 2(length + width)
Let 'l' denotes length, and 'w' denotes width, then we get:
[tex]Perimeter \leq 4\\2(l+w) \leq 4\\2(1.5 + w) \leq 4\\\\\text{Dividing both the sides by 2}\\\\1.5 + w \leq 2\\\\\text{Subtracting 1.5 from both the sides so as to get 'w' on one side}\\\\w \leq 0.5[/tex]
Now since the lowest value of width of a frame can be zero only, therefore, we get:
[tex]0 \leq w \leq 0.5[/tex]
Thus, the range of values 'w' can assume is: 0.5 - 0 = 0.5
Thus, the range of the frame width for the considered case is 0.5 (feet), because for this case, it can be at max of 0.5 feet, and at minimum of 0 feet.
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HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
The answer is (A) or 3/4.
Step-by-step explanation:
By plugging in a through d, the only one that gave an acurate answer was A.
2(6-2x) - 2x = 2(5+x)-4
turns into
2(6-2[3/4]) - 2[3/4] = 2(5+[3/4]) -4
Hope this helps!
Answer:
x = 3/4Therefore , option A is correct .Step-by-step explanation:
In the question we're given with an equation i.e.,
2 ( 6 - 2x ) - 2x = 2 ( 5 + x ) - 4And we are asked to find the value of x .
Solution :
[tex] \longmapsto \: 2 ( 6 - 2x ) - 2x = 2 ( 5 + x ) - 4 [/tex]
Step 1 : Solving parenthesis by multiplying it with 2 on both the sides :
[tex] \longmapsto \: 12 - \bold{4x} - \bold{2x} = \bold{10} + 2x - \bold{4}[/tex]
Step 2 : Adding like terms on left hand side and subtracting like terms on right hand side :
[tex] \longmapsto \: 12 - 6x = 2x + 6[/tex]
Step 3 : Transposing 12 to right hand side and 2x to left hand side :
[tex] \longmapsto \: -2x - 6x = 6 - 12[/tex]
On further calculations we get :
[tex] \longmapsto \: \cancel{ - }8x = \cancel{- }6[/tex]
Step 4 : Transposing 8 to right hand side :
[tex] \longmapsto \: x = \frac{\cancel{6}}{\cancel{8}} [/tex]
Step 5 : Cancelling 6/8 to their simplest form :
[tex] \longmapsto \: \pink{\boxed{x = \frac{3}{4} }}[/tex]
Therefore , value of x is 3/4 and it will make the equation true .#Keep LearningPLEASE HELP ME ASAP!!!!! I WILL GIVE YOU 30 POINTS!
For each equation, draw a tape diagram and find the unknown value.
Part A:x+9=16
Part B:4⋅x=28
Answer:
Part A=7
Part B=7
Step-by-step explanation:
Part A = 7+9=16
Part B = 4 times 7= 28
Melissa and tomas are playing a game with complex numbers. if melissa has a score of 5 – 4i and tomas has a score of 3 2i, what is their total score? 8 – 6i 8 6i 8 – 2i 8 2i
The total score of Melissa and Tomas who are playing a game with complex numbers is 8-2i.
What is complex number?A complex number is the combination of real and imaginary number. It can be written as,
[tex]a+bi[/tex]
Here, (a) is a real number and (b) is an imaginary number.
Melissa and Tomas are playing a game with complex numbers. Melissa has a score of 5 – 4i and Tomas has a score of 3 2i. The sum of their score is,
[tex]S=5 -4i +(3+2i)\\S=5+3-4i+2i\\S=8-2i[/tex]
Hence, the total score of Melissa and Tomas who are playing a game with complex numbers is 8-2i.
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Answer:
8-2i
Step-by-step explanation:
c
There are 23 pennies on one side of a balance and 17 pennies on the other
side. Levi thinks 3 pennies should be added to the higher pan, Arjan thinks 4
Pennies should be added, and Charlotte thinks 6 pennies should be added. Who Is correct and why?
To have the same number of pennies in both sides, we should add 6 pennies, so Charlotte is correct.
How many pennies should we add?We want to have the same number of pennies on both sides, on one side we have 23 pennies, and in the other 17. So we will add x pennies to the last side, such that we get:
23 = 17 + x
This is a linear equation. To solve it, we need to isolate the variable x, we can do that by subtracting 17 in both sides:
23 - 17 = 17 + x - 17
6 = x
This means that the solution is 6, so we should add 6 pennies, meaning that Charlotte is correct.
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Anybody knows this?? 3x^2+6x-10 + 3x+5
Answer:
3x2+9x−5
Step-by-step explanation:
You just have to add the like terms
Answer:
3x² + 9x - 5
Step-by-step explanation:
Group like terms:
3x² + 6x - 10 + 3x + 5
3x² + 9x -5
hope this helps :)
Sunny is a volunteer at the animal shelter. The animal shelter has only dogs and cats. 3
10
of the animals are dogs. There are 8 fewer dogs than cats. How many animals are there in the animal shelter?
Answer: 14 Animals
Step-by-step explanation: Made of 3 dogs and 11 Cats
Dogs( 11-8)