The value of x is equal to -5/6
To solve this question, we have to add two polynomials together. The polynomials are;
[tex]3x^2+3x+5[/tex][tex]7x^2-9x=8[/tex]Addition of PolynomialsThis involves adding of two or more different polynomials together. The polynomials adding together are or must be of the same degree. i.e x^2 must add to another coefficient of x^2 and x^3 adds to another coefficient of x^3 and so on.
In this given question, let's add the polynomials together.
[tex](3x^2+3x+5) + (7x^2-9x = 8\)\\3x^2 + 7x^2 + 3x-9x+5-8 =10x^2-6x-3[/tex]
Now, let's equate this with the last polynomial given
[tex]10x^2-6x-3=10x^2-12x-13\\10x^2-10x^2-6x+12x-3+13\\0+12x+10\\12x=-10[/tex]
Let's solve for x
[tex]12x=-10\\x=-\frac{10}{12}\\x = -\frac{5}{6}[/tex]
The value of x is equal to -5/6
Learn more on addition of polynomials here;
https://brainly.com/question/4142886
Drag each value to the correct location on the table.
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
3\/101
\/90
3\/90
3\/20
\/20
\/7
8\/800
Between 2 and 3
Between 4 and 5
Between 9 and 10
PLEASE HELP!!!
How many feet are there in 5 2/3 yards?
Answer:
17 feetStep-by-step explanation:
1 yard = 3 feet
1/3 3/3
1/3 yard = 1 feet
3ft * 5 yards = 15ft
1/3yard * 2 = 2/3yard 1ft * 2/3 = 2ft
15ft+2ft=17ft
There are 5 times as many females as males on the maths course at university. What fraction of the course are female?
Give your answer in its simplest form
Answer:
5/6
Step-by-step explanation:
Assuming everyone identifies as female or male, the fraction is ...
female / (female + male)
5/(5 +1) = 5/6
5/6 of the students are female in the math course.
Given r(x)= -5-x and s(x)=x²-8, which of the following is equivalent to t(x)=s(r(x))
a) t(x)= x²+10x+17
b) t(x)= -x²+3
c) t(x)= -x²-13
d) t(x)= x²-10x+3
e) None of the above
What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
6 yd
Answer:
Volume = 904.78 yards
Step-by-step explanation:
The formula for a sphere is:
V=4/3πr³
Since we already know that the radius is 3 yards and that π is 3.14 all we have to do is plug in the numbers.
V=4/3(3.14)(6)³
V=4/3(3.14)(216)
V=4.1897(216)
V≈904.78 yards
The base diameter and the height of a cone are both
equal to x units
Which expression represents the volume of the cone, in
cubic units?
Answer:
D
Step-by-step explanation:
V=(1/3)(pi)(r^2)(h)
=(pi/3)((x/2)^2)(x)
=(pi/3)(x^2/4)(x)
=x^3 * pi/12
Answer:
D
Step-by-step explanation:
One-twelfthπx3
100 points once again, if you answer with nonsense I will report you:
Jackson made a drawing for his residence including a villa and a garden, as in the given figure. Using the scale drawing, what is the perimeter of the villa in real life?
Answer:
60 meters.
Step-by-step explanation:
Here the villa has length of 6 cm and breadth of 4 cm
Find perimeter using:
2(length + breadth)
2(6 + 4)
20 cm
Here in scale the drawing perimeter is 20 cm
3 meter = 300 cm ......this is for real.
1 cm here --> 20 cm
300 cm in real --> (20*300) cm
Real perimeter = 6000 cm
If 6000 cm converted to m:
(6000/100) = 60 meters.
Find perimeter using:
[tex]2(length + breadth)[/tex]
[tex]2(6+4)[/tex]
[tex]20 cm[/tex]
Here in scale the drawing perimeter is [tex]20 cm[/tex]
[tex]3 meter = 300 cm [/tex]
[tex]1 cm → 20 cm[/tex]
[tex]300 \: cm → (20×300) cm[/tex]
[tex]Real \: perimeter = 6000 cm[/tex]
If [tex]6000 \: cm[/tex]converted to m:
[tex](\frac{6000}{100}) = 60 \: meters[/tex]
Anyone please help me
Answer:
1. x = 56
2. y = 2
3. x = 6
4. y = 3
5. k = 10.2
6. w = 21
7. x = 72
Step-by-step explanation:
1. x + 4 = 60
x = 56
2. 3y - 2 = 4
3y = 6
y = 2
3. 3x - 7 = 11
3x = 18
x = 6
4. 5y + 3 = 18
5y = 15
y = 3
5. 3 + 6k = 64
6k = 61
k = 10.2
6. w ÷ 3 - 5 = 2
w ÷ 3 = 7
w = 21
7. x ÷ 8 + 3 = 12
x ÷ 8 = 9
x = 72
[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
Answer (a) :-[tex]\bold{\red{ x + 4 = 60 }}[/tex]
[tex]\sf{ x = 60 - 4 }[/tex]
[tex]\bold{ x = 56 }[/tex]
Hence , The value of x is 56 .
Answer ( b) :-[tex]\bold{\red{ 3y - 2 = 4 }}[/tex]
[tex]\sf{ 3y = 4 + 2 }[/tex]
[tex]\sf{ 3y = 6}[/tex]
[tex]\sf{ y = }{\sf{\dfrac{6}{3}}}[/tex]
[tex]\bold{ y = 2 }[/tex]
Hence , The value of y is 2 .
Answer ( c) :-[tex]\bold{\red{ 3x - 7 = 11 }}[/tex]
[tex]\sf{ 3x = 11 + 7 }[/tex]
[tex]\sf{ 3x = 18}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{18}{3}}}[/tex]
[tex]\bold{ x = 6 }[/tex]
Hence , The value of x is 6 .
Answer ( d) :-[tex]\bold{\red{ 5y + 3 = 18 }}[/tex]
[tex]\sf{ 5y = 18 - 3 }[/tex]
[tex]\sf{ 5y = 15}[/tex]
[tex]\sf{ y = }{\sf{\dfrac{15}{5}}}[/tex]
[tex]\bold{ y = 3 }[/tex]
Hence , The value of y is 3 .
Answer ( e) :-[tex]\bold{\red{ 3 + 6k = 64 }}[/tex]
[tex]\sf{ 6k = 64 - 3 }[/tex]
[tex]\sf{ 6k = 61}[/tex]
[tex]\bold{ k = }{\sf{\dfrac{61}{6}}}[/tex]
Hence , The value of k is 61/6 .
Answer ( f) :-[tex]\bold{\red{\dfrac{W}{3}}}{\bold{\red{ - 5 = 2 }}}[/tex]
[tex]\sf{\dfrac{W - 15}{3}}{\sf{ = 2 }}[/tex]
[tex]\sf{ W - 15 = 2}{\sf{\times{ 3 }}}[/tex]
[tex]\sf{ W - 15 = 6 }[/tex]
[tex]\sf{ W = 6 + 15 }[/tex]
[tex]\bold{ W = 21}[/tex]
Hence , The value of W is 21 .
Answer ( g) :-[tex]\bold{\red{\dfrac{x}{8}}}{\red{\bold{ + 3 = 12 }}}[/tex]
[tex]\sf{\dfrac{x + 24 }{8 }}{\sf{ = 12 }}[/tex]
[tex]\sf{ x + 24 = 12}{\sf{\times{ 8 }}}[/tex]
[tex]\sf{ x + 24 = 96 }[/tex]
[tex]\sf{ x = 96 - 24 }[/tex]
[tex]\bold{ x = 72 }[/tex]
Hence, The value of x is 72 .
PLEASE HELP ME PLEASE!!
hypotenuse (h)=?
perpendicular (p)=3
base(b)=2
using pythagoras theorem
h²=p²+b²
h²=3²+2²
h²=9+4
h²=13
h=√13
hypotenuse (h)=12perpendicular (p)=10base(b)=?using pythagoras theorem
b²=h²-p²
b²=12²-10²
b²=144-100
b=√44
b=2√11
Larry wants to buy a car cover for his vintage corvette. His car is 15 feet in length, but car covers are only sold in yards. Choose the cover that fits Larry's corvette best.
A) 3 yards
B) 5 yards
C) 7 yards
D) 45 yards
Answer:
5 yards
Step-by-step explanation:
15/3=5
In one U.S. city, the taxi cost is $5 plus $0.90 per mile. If you are traveling from the airport, there is an additional charge of $3.50 for tolls. How far can you travel from
the airport by taxi for $40.00?
Answer:
35 miles
Step-by-step explanation:
At the start, you lose $8.5 for tolls and the taxi cost.
You're left with $31.5 after that, every mile costs you $0.9, so you can go 31.5 : 0.9 = 35 miles.
i need help with math asap
[tex]\huge\blue{\mid{\fbox{\tt{\:ANSWER\:}}\mid}}[/tex]
[tex]y=-2x[/tex]____________________
The graph,
In the figure shown below, the area of the large rectangle is (5x)(8x + 1) and the area of
the small rectangle is (4x)(2x), which of the following expressions represents the area of
the shaded region?
HELP
Answer:
ok so the shaded area will be the larger rectange minus the smaller one so lets find the area of both by multiplying the sides
(5x)(8x+1)=40x^2+5x
(4x)(2x)=8x^2
so
40x^2+5x-8x^2
32x^2+5x or
x(32x+5)
so a
Hope This Helps!!!
Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = – 0.145t2 + 0.019t + 5.5. How many seconds will it take for the frisbee to hit the ground?
–6.2 seconds
–6.1 seconds
5.5 seconds
6.2 seconds
Answer:
6.2 seconds
Explanation:
Given function: h(t) = – 0.145t² + 0.019t + 5.5
Here h(t) which determines the height, when Frisbee touches the ground, the height shall be 0.
solve the quadratic equation:
using the formula: [tex]\left[\begin{array}{ccc} t = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\end{array}\right][/tex]
Solving steps:
→ –0.145t² + 0.019t + 5.5 = 0
→ [–0.145t² + 0.019t + 5.5 = 0 ]* 100
→ -145t² + 19t + 5500 = 0
→ [tex]t = \frac{ -19 \pm \sqrt{19^2 - 4 ( -145)(5500)}}{2(-145)}[/tex]
→ [tex]t_1=\frac{-19+\sqrt{3190361}}{2\left(-145\right)},\:t_2=\frac{-19-\sqrt{3190361}}{2\left(-145\right)}[/tex]
→ [tex]t = -6.09[/tex] , [tex]t = 6.2[/tex]
→ [tex]t = 6.2[/tex]
Time cannot be negative here.
So time taken: 6.2 seconds.
Answer:
D. 6.2 secondsStep-by-step explanation:
When the frisbee hits the ground, the value of h is zero.
Find the time required:
– 0.145t² + 0.019t + 5.5 = 0145t² - 19t - 5500 = 0t = (19 + √(19² + 4*145*5500))/290 = (19 + 1786,1)/290 = 6.2 seconds (rounded)Note, taking positive root only as time is never negativeRound to the nearest ten-thousand. 1,409,836
Answer:1,410,000
Step-by-step explanation:
The owner of an orange grove must decide when to pick one variety of oranges. She can sell them for $24 a bushel if she sells them now, with each tree yielding an average of 4 bushels. The yield increases by half a bushel per week for the next 5 weeks, but the price per bushel decreases by $1.50 per bushel each week. In how many weeks should the oranges be picked for maximum return?
Answer:
4
Step-by-step explanation:
Let's say the amount of bushes sold (yield) is b, and the price per bushel is p.
When calculating total revenue, we want to multiply price by quantity. Quantity here is b, and price is p. Therefore, p*q = revenue = return.
Let's say that the amount of weeks is w.
Price after w weeks = 24 - 1.50 for each week = 24 - 1.50w
Yield after w weeks = 4 + 0.5 for each week = 4 + 0.5w
Revenue after w weeks = p * b = (24-1.50w) * (4+0.5w) = 96 - 6w + 12w - 0.75w² = -0.75w²+6w + 96.
We want to maximize revenue. First, we can find when the derivative of the function is 0.
d/dw(-0.75w²+6w + 96) = -1.5w + 6 = 0
subtract 6 from both sides
-1.5w = -6
divide both sides by -1.5 to isolate w
w = 4
plug that into our equation
-0.75(4)²+6(4) + 96 = -12 + 24 + 96 = 108
Because this function has a negative coefficient for the w², we can say that it is a parabola opening up downward, so when the derivative = 0, we have found the maximum of the function. Therefore, 4 is our answer
What is the value of the expression: 4(n+13) where n=5
45
235
72
41
Answer:
72
Step-by-step explanation:
=> 4(n+13)
putting the value of n which is 5
=> 4(5+13 )
=> 4(18)
=> 72
Roger pays $2,240 in rent every month. This amount is $180 more than four times what his brother Raul pays for rent. How much does Raul pay for rent?
Brainliest if correct Question
Answer:
x=2
Step-by-step explanation:
18−7x=2x
Step 1: Simplif
18−7x=2x
18+−7x=2x
−7x+18=2x
Step 2: Subtract 2x from both sides.
−7x+18−2x=2x−2x
−9x+18=0
Step 3: Subtract 18 from both sides.
−9x+18−18=0−18
−9x=−18
Step 4: Divide both sides by -9.
Austin surveys 60 women in an apartment building to determine the most preferred form of exercise they perform on a regular basis. he tabulates the results as shown
PLEASE HELP IM BEGGING!!!!
Answer:
y = 28°
Step-by-step explanation:
The triangle is a right triangle which has 90 degrees.
The 3x falls under 90 degrees.
So:
→ 2y + 90° + 34° = 180°
→ 2y = 180° - 124°
→ 2y = 56°
→ y = 28°
Triangle
XYZ = right triangle
3x = 90°
X + Y + Z = 180°
34° + 3x + 2y = 180°
34° + 90° + 2y = 180°
2y = 180° - (34° + 90°)
2y = 56°
y = 28°
How many pounds is 3/4+3/4+3/4=
That all added is 9/4 so now just turn that into pounds. goodluck :)
Answer:
2 1/4
Step-by-step explanation:
You can add together all of the numerators to get 9/4 which simplifies to be 2 1/4.
70 PTS will mark brainly
This is Josh’s solution for the equation x^2-6x-7=0
x^2-6x-7=0
x^2-6x=7
x^2-6x+9=7+9
(x-3)^2=16
x-3=16
x=19
x-3=-16
x=-13
explain what mistake he made on step 5 which is x-3=16
Answer:
See below.Explanation:
easy way to solve:
[tex]x^2-6x-7=0[/tex]
[tex]x^2+x-7x-7=0[/tex]
[tex]x(x+1)-7(x+1) =0[/tex]
[tex](x-7)(x+1)= 0[/tex]
[tex]x = 7, -1[/tex]
Mistake:
In step 5,
Josh should have given:
[tex](x-3)^2=16[/tex]
[tex]x-3 = \pm \sqrt{16}[/tex] [ changing sides changes square sign to [tex]\pm[/tex] square root ]
[tex]x-3 = \pm 4[/tex]
[tex]x -3 = 4[/tex], [tex]x-3 = -4[/tex]
[tex]x = 7[/tex], [tex]x = -1[/tex]
The value of the digit 9 in the number 29,461 is 10 times the value of the digit 9
in which number?
А
46,195
B
53,982
с
89,354
D
93,610
Answer:
Option B
Step-by-step explanation:
Given the following question:
9 is 10 times the value
29,461 ⇒ thousands place
[tex]100\times10=1000[/tex]
Your answer is option B or "53,982". Since the nine is in the hundred's place, and one-hundred times ten, is equal to a thousand.
[tex]900\times10=9000[/tex]
Hope this helps.
The value of the digit 9 in the number 29,461 that is 10 times the value of the digit 9 is; B: 53,982
How to interpret Digits?
We are given the number 29461.
In the given number;
1 is units
6 is tens
4 is hundred
9 is thousands
2 is ten thousands
This means any number that will has to be multiplied by 10 to give the 9000 above will have to be hundreds.
From the given options, only 53982 contains 9 in the hundreds position and so is correct.
Read more about Digits at; https://brainly.com/question/26856218
Which is greater 24.005 or 24.05
Answer:
24.05
Step-by-step explanation:
24.005 has more numbers but worth less
24.05 is more
Can someone help me answer this please?
Answer:
105 minutes
Step-by-step explanation:
The pond is a prism. Its volume is the area of the trapezoidal base (the front and back faces) multiplied by the height (the 1 m edge).
Area of base of pond (front face) = (1/2)(B + b)h
Base = (1/2)(1.5 m + 0.6 m)(2 m) [Here, height is the height oif the trapezoid, so it is 2 m]
Base = 2.1 m²
Volume = Base × Height
Volume = 2.1 m² × 1 m [Here, height is the height of the prism, so it is 1 m]
Volume = 2.1 m³
The volume of the upper 30 cm (= 0.3 m) of the pond is:
V = LWH
V = 2 m × 1 m × 0.3 m
V = 0.6 m³
The volume of water decreased 0.6 m³ in 30 minutes.
In 60 minutes, it would decrease by 1.2 m³.
60 minutes = 1 hour
The flow rate is 1.2 m³ / hour.
The total volume of the pond is 2.1 m³.
Emptying out the pond completely means removing 2.1 m³ of water at the flow rate of 1.2 m³/hour.
flow rate = volume/time
time × flow rate = volume
time = volume / flow rate
time = 2.1 m³ / 1.2 m³/hour = 1.75 hour
time = 1.75 hour × 60 minutes/hour = 105 minutes
Answer: 105 minutes
Write an equation of a line that passes through -4, -4 and 4,4
Answer: y=x
Step-by-step explanation:
The slope is (y2-y1)/(x2-x1) = 8/8 = 1
Plugging it into the equation y = mx+b:
y = x + b
Plugging in one of the coordinates:
4 = 4+b
b = 0
Therefore, the equation of the line is y=x
Please give me the correct answer
Answer:
(a) 3 , 4(b) 3 , 4Hope this helps.
What is this expression in simplified form? 2y^2√15+5y√15-3y^2√60+7y
Answer:
your answer will be letter b
Step-by-step explanation:
What is the fraction of 1/2+1/3=
Answer: [tex]\frac56[/tex]
Work Shown:
[tex]\frac{1}{2}+\frac{1}{3}\\\\\frac{3}{6}+\frac{2}{6}\\\\\frac{3+2}{6}\\\\\frac{5}{6}\\\\[/tex]
To visualize this, cut up a circle into 6 equal pieces.
3 of those pieces represent half the circle (3/6 = 1/2)
2 more pieces represent one third (2/6 = 1/3)
We have 3+2 = 5 pieces out of 6 total. This is visual confirmation that 1/2 + 1/3 = 5/6