(3x5−2x4−5)−(2x4+x2−10) Subtract the two polynomials
Answer:
3x^5-4x^4-x^2+5
Step-by-step explanation:
(3x^5−2x^4−5)−(2x^4+x^2−10)
Distribute the minus sign
(3x^5−2x^4−5)−2x^4-x^2+10
Combine like terms
3x^5-4x^4-x^2+5
Hello!
Answer:[tex]\boxed{ \bf 3x^5~-~4x^4~-~x^2~+~5}[/tex]
__________________________________Explanation:(3[tex]x^{5}[/tex] - 2[tex]x^{4}[/tex] - 5) - (2[tex]x^{4}[/tex] + x² - 10)
Drop the brackets:
3[tex]x^{5}[/tex] - 2[tex]x^{4}[/tex] - 5 - 2[tex]x^{4}[/tex] - x² + 10
Combine Like Terms:
3[tex]x^{5}[/tex] - 2[tex]x^{4}[/tex] - 2[tex]x^{4}[/tex] - x² - 5 + 10
3[tex]x^{5}[/tex] - 4[tex]x^{4}[/tex] - x² + 5
An equilateral triangle is always/sometimes/never similar to a scalene triangle, because we can always/sometimes/never map one onto the other using only dilations and rigid transformations.
Answer:
The answer is "never".
Step-by-step explanation:
The triangle isn't equilateral to the scalene, because it has the equilateral triangle that has all similarities as well as the angles steps.It also the face of the scalene triangle is different and the sides are not always the same.Can someone please help
Answer:
The numbers to input are 2, 2 , 7
Step-by-step explanation:
252 = 2² * 3² * 7
So the numbers to input are 2, 2 , 7
what is the greatest common factor for 9m+ 27m²
Answer:
9m
Step-by-step explanation:
Both of them are divisible by 9 and 1 m
When you factor and pull out 9m, you will get
9m (1 + 3m)
John has two jobs and earns a total of $2,345 per month. What percent of his gross income does John receive from his second job where he makes $609.70 a month?
Answer:
10000000.9
Step-by-step explanation:
pleass more math help
Three investors own a company. One partner owns 1/4 of the company, while the second partner owns 2/5 of the company. How
much does the third partner own?
Answer:
7/20
Step-by-step explanation:
you find the least common denominator then you add them which gives you 13/20 then you subtract 20/20 minus 13/20 which gives you 7/20
have a meh day
Answer:
[tex]\frac{7}{20}[/tex]
Step-by-step explanation:
First, add the shares of the first two investors
[tex]\frac{1}{4} +\frac{2}{5} = \frac{13}{20}[/tex]
Then, you subtract that from the total shares of the company, which is 1
[tex]1 - \frac{13}{20} = \frac{7}{20}[/tex]
Again PLEASE ANSWER
You have designed a concrete patio which is the shape of a parallelogram and a triangle combined. The parallelogram has a length of 12 m with a height of 4 m. The triangle has a base of 12 m with a height of 5 m. Calculate both the area and perimeter of this patio.
Answer:
perimeter is 35.6 area is 108
Step-by-step explanation:
it helps to draw a picture. first the perimeter of the rectangle is 4x2 +12=20 we wont be needing one of the twelves because it is connected to the triangle the area or the rectangle is 12x4=48. now for the triangle. we will need the Pythagorean theorem to find the sides first split the base in half 12/2=6 now we use the height and the base [tex]6^{2} +5x^{2} =[/tex]61 the square root of 61 is about 7.8 the perimeter is 7.8+7.8 +12 but we wont need the base because it is attached to the rectangle =15.6 the area of the triangle is like half a square Base times height though 12x5=60
the whole perimeter if 15.6+20=35.6 the area is 60+48=108
Answer:
50 m squared
Step-by-step explanation:
You have to solve for the areas and then add
6. Find the area of a sector with a central angle of 160° and a radius of 5.7 cm. Round to the nearest tenth.
Answer:
[tex]45.4 cm^2[/tex]
Step-by-step explanation:
The area of the sector of a circle is given as:
[tex]\frac{\alpha }{360} * \pi r^2[/tex]
where α = central angle of the sector
r = radius
The central angle of the sector is 160° and its radius is 5.7 cm. Its area is:
A = [tex]160/360 * \pi * 5.7^2[/tex]
A = [tex]45.4 cm^2[/tex]
Identify the like terms in the expression.
Answer:D
The answer is D.
Step-by-step explanation:
Like terms are only related to the variable at the end, and the variable also has to have the same exponent or it is not a like term.
What are the two solutions of 2x^2 = -X^2 - 5x - 1?
A. the y-coordinates of the intersection points of the graphs of y = 2x^2 and y = x^2 – 5x - 1
B. the x-coordinates of the x-intercepts of the graphs of y = 2x^2 and y = -x^2 – 5x - 1
C. the x-coordinates of the intersection points of the graphs of y = 2x^2 and y = -x^2 – 5x - 1
D. the y-coordinates of the y-intercepts of the graphs of y = 2x^2 and y = -x^2–5x - 1
Answer:
Step-by-step explanation:
Let's solve 2x^2 = -X^2 - 5x - 1. Consolidate all terms on the left side and write 0 on the right side:
3x^2 + 5x + 1 = 0. This is a quadratic equation. Let's solve it for x using the quadratic formula:
a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13. Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.
Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."
Answer C would be correct if and only if we write y = x^2 - 5x - 1.
Answer:
C: the x-coordinates of the intersection points of the graphs of y = 2x2 and y = –x2 – 5x – 1
Step-by-step explanation:
I got it right on Edg. 2020
Molly is making a quilt for her mother. The quilt will have several designs. One of the designs is shown below. What is the total perimeter of the design below?
Answer: (A) [tex]12+12\sqrt{12}[/tex] .
Step-by-step explanation:
Perimter is the sum of the all sides of a figure.
As the given design has three exactly same or identical triangles with side-lengths [tex]2\sqrt{2}\ in, 2\sqrt{2}\ in, 4\ in[/tex] joined by ending vertices.
Then, the combined operimetr of thge design would be :
3 x (Perimeter of the one triangle)
For this , Perimeter of one triangle = [tex]2\sqrt{2}+2\sqrt{2}+4\ in =(4\sqrt{2}+4) = 4(\sqrt{2}+1) \ in[/tex]
Now , the combined operimetr of thge design would be :
[tex]3\times4(\sqrt{2}+1)=12(\sqrt{2}+1)\ in[/tex] or [tex]12+12\sqrt{12}\ in[/tex]
Hence, the correct option is (A) [tex]12+12\sqrt{12}[/tex] .
Answer:
it is a
Step-by-step explanation:
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
9 years.
Step-by-step explanation:
Make x the number of years passed.
[tex]\frac{39+x}{3+x}=4[/tex]
12 + 4x = 39 + x
27 = 3x
x = 9
The line plot shows the result of a survey asking students how many hours they spent reading last week. How many students spent 5 or more hours reading?
Answer:
15 total students
Step-by-step explanation:
Based on the line plot picture that is attached below it can be calculated that a total of 15 students spent 5 or more hours last week reading. This can be easily calculated by adding all the x's on the marks of 5 hours or more. With both the boys and girl students combined the tally was the following
5 hours : 4 students
6 hours : 1 student
7 hours : 3 students
8 hours : 3 students
9 hours : 0 students
10 hours: 2 students
11 hours : 2 students
12 hours : 0 students
adding up to 15 total students
Please help me on this question
Answer:
Is answer is option B
Answer:
B
Step-by-step explanation:
Given the 2 equations
x - 2y = 3 → (1)
2x - 3y = 9 → (2)
Multiplying (1) by - 2 and adding to (2) eliminates the term in x
- 2x + 4y = - 6 → (3)
Add (2) and (3) term by term to eliminate x, that is
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
x - 2(3) = 3
x - 6 = 3 ( add 6 to both sides )
x = 9
Solution is (9, 3 ) → B
WILL MARK BRAINLIEST!!! Your friend states that for functions of the form y = a sin bx and y = a cos bx, the values of a and b affect the x-intercepts of the graph of the function. Is your friend correct? Explain
Answer:
The sine function won't be affected, but the consine function will.Step-by-step explanation:
First of all, remember that [tex]sin(0)=0[/tex] and [tex]cos(0)=1[/tex]. As you can see, the sine function won't be affect by [tex]a[/tex], because its value is null.
However, the x-intercept of the cosine function depends on the [tex]a[/tex] value, because the function is equal to the unit.
On the other hand, the variable [tex]b[/tex] won't affect any function, because it would be always zero.
Therefore, the sine function won't be affected, but the consine function will.
What is the shape of the cross-section formed when a cylinder intersects a
plane as shown in the drawing?
Answer:
circle,
Step-by-step explanation:
disc in the middle vertically in this case is equal to the bases
The intersection is called an Oval. Hence the correct option is A. An oval in mathematics is a shape just like a circle but with an elongated outline like the shape of an egg.
What is a Cross-section?A cross-section is a surface, an area that is created or exposed by executing a straight cut across or through a shape.
Cross-sections in technical drawings are used for depicting the internal view of an object that is three-dimensional.
Learn more about Cross-Sections are:
https://brainly.com/question/10511133
A man divides his 360 cattle between his son in the ratio 7: 6: 5. Find the smallest share
360/18=20
20*7=140
20*6=120
20*5=100
Answer=140:120:100
Answer: smallest share is 100
Step-by-step explanation:
7:6:5
Add the numbers so 7+6+5=18
Divide 360 by 18 which equals 20
Multiply each ratio by 20 so...
7×20:6×20:5×20
140:120:100
(6) Work out
5 1
6 12
Answer:
=123
Step-by-step explanation:
please help me, maths is hard, and at the moment i wish maths wasn't real. brainliest will be given
Answer:
£60
Step-by-step explanation:
Let [tex]x[/tex] be the original price.
[tex]x \times (1-10/100) = 54[/tex]
[tex]x \times 90/100 = 54[/tex]
[tex]0.9x=54[/tex]
[tex]x=54/0.9[/tex]
[tex]x=60[/tex]
What the answer to this
Answer:
I think it might be a I don't know for sure though I just need some more points so I can ask a question myself sorry if this didn't help
En un programa de televisión se hacen 30 preguntas. Por cada respuesta correcta se suman 8 puntos, por cada respuesta errónea se restan 5 puntos y por aquellas preguntas que no se contesten no se suman ni se restan puntos. Si un participantes obtuvo 13 puntos, ¿Cuantas respuestas erróneas pudo tener?
Answer:
7 wrong answers.
Step-by-step explanation:
We know that when you answer a question well, you earn 8 points and a bad one loses 5 points, this means that when you answer 1 good and 1 bad, there is a total of 3 points (8-5).
This means that when answering 5 good and 5 bad, in total it would be 3 * 5 points, that is to say 15 points, that is, it goes through 2 points. To subtract 2 points, you would have to answer 1 good and 2 bad, (8 - 2 * 5), which turns out to be -2 points.
In total there would be 6 questions right and 7 questions wrong, like this:
8 * 6 + 5 * 7 = 13
13 points, in 13 questions (6 correct + 7 incorrect)
The rest of the questions were not answered so that the score does not go up or down.
Which means you got 7 wrong answers.
The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.
Answer:
£537.63
Step-by-step explanation:
Let the original price of the computer be x.
The price of a computer was decreased by 7% to £500. This implies that:
x - 7/100 * x = 500
x - 0.07x = 500
0.93x = 500
x = 500/0.93 = £537.63
The price before the decrease was £537.63.
What is the slope of the graph? slope = -1/3 slope = -3 slope = 3 slope = 1/3
Answer:
The slope is -3
Step-by-step explanation:
This is so because the line in pointing down, leading to the fact that the slope is negative, and rise over run is 3/1......
Therefore, the slope of the line is -3
To find the slope of the line, first start with a point on the graph.
Let's use the point (0,3) which we call point A.
The other point we will call point B.
Now remember that slope can be found using the ratio rise/run
between any two points that are on that line.
To get from point A to point B along this line, we must
first go down 3 units so we say that our rise is -3.
From there we move 1 unit to the right so our run is 1.
So our slope or rise/run is -3/1 which reduces to -3.
Express 25 as a percentage of 75. *
4 points
A. 300%
B. 100%
C. 50%
D. 33.3%
｡☆✼★ ━━━━━━━━━━━━━━ ☾
25 is 1/3 of 75
You can calculate it this way:
(25/75) x 100 = 33.3333
Thus, your answer would be option D
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
D.
Step-by-step explanation:
First make it as a fraction:
[tex]\frac{25}{75}=\frac{1}{3}[/tex]
[tex]\frac{1}{3}[/tex] = 33.3333...%
How many digits will be in the quotient?
39 4,641
Answer:
the answer is 119 so three digits
Step-by-step explanation:
Answer:
3 digits
Step-by-step explanation:
4641/39=119
Brass contains copper and zinc in the ratio 2:1. How much ZINC is there in 750 g of brass?
Answer:
250
Step-by-step explanation:
copper: zinc : total
2 1 2+1 =3
We have 750 brass
750/3 = 250
Multiply each by 250
copper: zinc : total
2*250 250 3*250
500 250 750
Please Help !!! MATHS GCSE DATA HANDLING QUESTION. thanks xx
Answer:
A) 29men
B) 91cm
C) 13cm
Step-by-step explanation:
Men with waist of 85cm = 11
A.) Men with waist of more than 85cm = (total number of men - 11) = (40 - 11) = 29men
B.) median waist :
Median = (n) / 2
Where n = number of observations
Median = (40) / 2 = 40/2 = 20th
Taking the intersection of the 20th point on the x-axis,
Median waist = 91cm
C.) Interquartile range(IQR) = (Q3 - Q1)
Q3 = 3/4(n)
Q3 = 0.75 × 40 = 30
Q3 = 97cm
Q1 = 1/4(n)
Q1 = 0.25 × 40 = 10
Q1 = 84cm
IQR = 97 - 84 = 13cm
Jasper decided to save $100 at the end of each month for a year and deposit it in a bank account that earns an annual interest rate of 0.3%, compounded monthly. Use the formula for an annuity, F, to determine how much money will be in the account at the end of the 6th month, rounding your answer to the nearest penny.
Note: Your interest rate must be converted to a decimal
Answer: 600.38
Step-by-step explanation:
just put in the answer you lazy
The lateral area of a right cone which has a base diameter of 4 units and a height of 10 units is:
Answer:
≈64.08
Step-by-step explanation:
Lateral Area=πr[tex]\sqrt{h^{2} +r^{2} }[/tex]
Radius is 1/2 of the diameter so r=2
Height=10
Substitute:
: [tex]3.141(2)\sqrt{10^{2}+2^{2} } \\6.282\sqrt{100+4} \\6.282\sqrt{104} \\ 64.066.282*10.2\\ 64.076\\\\[/tex]
64.076 rounded = 64.08