Answer:
5m^5 + 15m⁴ + 35m³
Step-by-step explanation:
GCF means greatest common factor.
The Greatest common factor of two monomials for example, is the product of the common prime factors of both monomials.
We are to develop a trinomial which would have 5m³ as its greatest common factor.
To Create a trinomial where the GCF of the trinomial is 5m³, we would find a trinomial that can't be factored and multiply it by 5m³.
A trinomial is a polynomial which has three terms (monomials) connected by addition or subtraction.
Let's consider the trinomial m² + 3m + 7
This trinomial cannot be factored because there are no common factors between them. The constants to be considered are 3 and 7.
3 is a prime number and therefore can only be factored to 1 and 3.
7 is a prime number and therefore can only be factored to 1 and 7.
Since there are no common factors other than 1, the constants cannot be factored.
By multiplying 5m³ with the trinomial m² + 3m + 7
We would have:
5m³ (m² + 3m + 7) = 5m^5 + 15m⁴ + 35m³
From the above, the trinomial where the GCF of the trinomial is 5m³ = 5m^5 + 15m⁴ + 35m³
Complete the statements.
A triangular prism has__bases and___lateral faces
A triangular pyramid has____
bases and___lateral faces
Answer:
A triangular prism has two bases and three lateral faces.
A triangular pyramid has one base and three lateral faces.
Step-by-step explanation:
A triangular prism is a solid geometrical shape. The base is triangular in shape. There are two bases that are triangular. Other lateral faces are rectangular in shape. They are three in number.
A triangular pyramid is also a solid geometrical shape. The base is a polygon. The lateral faces are triangular in shape and are three in number. The lateral faces are congruent.
Answer:
So im to lazy to right the answer so just look above me so hows it going?
Step-by-step explanation:
A bank is offering a simple interest rate of 5% — that is, the bank will pay a fixed 5% of an initial investment as interest each year. By contrast, a stockbroker is offering a 4% interest rate compounded annually: 4% of the total value of the investment at the end of the year. If $1000 is invested in the bank and $1000 is invested with the stockbroker, after 4 years, what will be the total value of the two investments combined? Round to the nearest dollar.
what is the combined lenght of all buttons longer than 1 inch?
Answer:
2 12 1/2 inches
Step-by-step explanation:
1: 1 1/4 + 1 1/4
2: 1+1 = 2; 1/4 + 1/4 = 2/4
3: 2 2/4
Answer: 2 2/4
Hope this helps.
Answer:
2 12 1/2 inches
Step-by-step explanation:
Hope it helps <3
Alex is drawing rectangles with different areas on a centimetre grid he can draw 3 different rectangles with an area of 12cmsquared a) How many different rectangles could alex draw with an area of 11cmsquared? B)Give a reason for ur anwser
Answer:
Alex can only draw a rectangle with an area of 11 cm²
The reason for the answer is that 11 is a prime number
Step-by-step explanation:
We are told that Alex is drawing rectangles with different areas on a centimeter grid, and he can draw 3 different rectangles with an area of 12 cm²
We have the minimum grid length of centimeters = 1 cm, since we assume that only integers can be used.
That is to say:
12 = 1 x 12
12 = 2 x 6
12 = 3 x 4
These are the 3 different rectangles with an area of 12 cm²
Now we have to find how many rectangles Alex could draw with an area of 11 cm²
11 = 1 x 11
Therefore, only one factorization is possible. Which means that you can only draw a rectangle with an area of 11 cm²
The reason for the answer is that 11 is a prime number, which means only the common factor of 1 and the number itself, that is, 11.
True or false? The degree of a binomial is always equal to 2
Answer:
false
Step-by-step explanation:
the degree is found by looking at the term with the highest exponent of the variable..
Answer:
It's False..........
pis possib
How many gallons of a 60% antifreeze solution must be mixed with 100 gallons of 15% antifreeze to get a mixture that is
50% antifreeze? Use the six-step method.
Gallons of
Antifreeze
Strength Gallons of
Solutions
60%
X
15%
100
50%
X + 100
Answer:
x = 350 gallons (amt of 60% solution that must be added)
Step-by-step explanation:
Amt of 60% solution = x gallons ; Amt of active ingredient = 0.6x gallons
Amt of 15% solution = 100 gallons ; Amt of active ingredient = 15 gallons
Amt of 50% solution = 100+x gallons ; Amt of active = 50 + 0.5x gallons
EQUATION:
Active ingredient: 0.60x + 15 = 50 + 0.50x
0.10x = 35
x = 350 gallons (amt of 60% solution that must be added)
Which polynomial is prime? A. x^4 + 3x^2 – x^2 – 3 B. x^4 – 3x^2 – x^2 + 3 C. 3x^2 + x – 6x – 2 D. 3x^2 + x – 6x + 3
Answer:
A and B
Step-by-step explanation:
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree, also with integer coefficients, is called an irreducible or prime polynomialAs per above definition, A and B polynomials have coefficients 1 or 3, so are prime polynomials.
C and D polynomials have coefficient of 6 which can be further factored
A. x^4 + 3x^2 – x^2 – 3
yesB. x^4 – 3x^2 – x^2 + 3
yesC. 3x^2 + x – 6x – 2
noD. 3x^2 + x – 6x + 3
nof(x)
- 4x² + 4x-4
Find f(3)
The dual bar chart shows the hair colour of boys and girls in a year group. What fraction of the red haired students are boys? Give your answer in its simplest form
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Total red haired students = 15+5 = 20
Boys = 15
Fraction:
=> [tex]\frac{15}{20}[/tex]
In simplest form:
=> [tex]\frac{3}{4}[/tex]
Solve for y.
–0.8y + 5.49 = –19.86 − 2.3y
y =
Answer:
y = -16.9
Step-by-step explanation:
→Add 0.8y to both sides:
-0.8y + 5.49 = -19.86 - 2.3y
5.49 = -19.86 - 1.5y
→Add 19.86 to both sides:
25.35 = -1.5y
→Divide both sides by -1.5:
-16.9 = y
Answer:
[tex] \boxed{y = - 16.9} [/tex]
Step-by-step explanation:
[tex] = > - 0.8y + 5.49 = - 19.86 - 2.3y \\ \\ = > - 0.8y + 2.3y + 5.49 = - 19.86 \\ \\ = > 1.5y + 5.49 = - 19.86 \\ \\ = > 1.5y = - 19.86 - 5.49 \\ \\ = > 1.5y = - 25.35 \\ \\ = > y = - \frac{25.35}{1.5} \\ \\ = > y = - 16.9[/tex]
Evaluate this expression for a = 3 and b = 4.
B
(a + 4)-
3(3 + 2)
+
3 - 2
OA. 6
OB.
9
O C.
11
OD.
8
Answer:
14
Step-by-step explanation:
a = 3
b = 4
[tex]b(a + 4)-3(3 + 2)+3 - 2\\a = 3,b=4\\4(3+4)-3(5)+3 - 2\\4(7)-15+3 - 2\\28-14\\\\14[/tex]
i don't even know what this is literally someone help me (khan)
Answer:
5√2
Step-by-step explanation:
√50=√25*2=√5^2*2=5√2
Answer:
5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{50}[/tex] is equal to [tex]\sqrt{25}[/tex] · [tex]\sqrt{2}[/tex]
This can be simplified to 5[tex]\sqrt{2}[/tex]
You flip two coins and roll a dice. What is the probability of flipping two tails and rolling an even number?
Choose which of these is the net of a cube.
Answer:
A
Step-by-step explanation:
PLS GIVE BRAINLIEST!
How do you complete the square of h(x)= x^2 + 6x + 7
Answer:
[tex] (x + 3)^{2} - 2[/tex]
Step-by-step explanation:
[tex]h(x)= x^2 + 6x + 7 \\ = x^2 + 2.3.x + {3}^{2} - {3}^{2} + 7 \\ = (x + 3)^{2} - 9 + 7 \\ \purple { \bold{h(x)= (x + 3)^{2} - 2 }}[/tex]
Cuanto son 2 mas 2?
Answer:
4
Step-by-step explanation: 2x2=4
Answer:
4
Step-by-step explanation:
hey pls answer
WHAT IS THE PRODUCT OF 2 AND 3
i'm having trouble with this, pls help!
Answer:
6
Step-by-step explanation:
2(3)=6
Answer:6
Step-by-step explanation:
2x3 is 6
Which of the following is the equation of a line in slope intercept from a line with the slope of 2/3 and Y intercept at 0,-2
Answer:
y= 2/3x - 2
Step-by-step explanation:
b is were the line crosses the y intercept so its -2
and the slope is 2/3x
hope this helps:)
Write an equation of the line passing through the point (5,1) that is perpendicular to the line 5x+3y=15
Step-by-step explanation:
answer in photos
here m is intercept
Answer:
y = 3÷5x−2
Step-by-step explanation:
the answer is y = 3÷5x−2
Determine and prove which lines are parallel.: Need by Tuesday!! Thanks!
If the gradients are not the same, then there will be a point, which intersects. That contradicts the statement that theclines have no points in common.
Step-by-step explanation:
Parallel lines are lines that have the same gradient.
Because parallel lines have a fixed distance between each other,it means they will never meet, no matter how long they are extended.
Since parallel lines have the same slope by definition, they will never intersect. Parallel lines continue, literally, forever without touching.
Prove:
Suppose that there are two lines, line l and line m, which have no points in common. Both lines are in the same plane.
If the gradients are not exactly the same, then there will be a point, which intersects. That contradicts the first statement (which says l and m have no points in common), therefore the gradients must be the same in order for l and m to have no points in common.
100*9-2+12/2=
Just need the answer
Answer:
904
Step-by-step explanation:
According to PEMDAS, we must multiply 100 and 9 first, which gets us 900. Then divide 12 by 2, which gets us six. 900 - 2 + 6 = 898 + 6 = 904.
Answer:
904
Step-by-step explanation:
100 * 9 = 900 -2 =898 +12/2 →898+6= 904
12/2 = 6
Have a good day and stay safe!
Which situation involves a change modeled by a positive number but an end result modeled by a negative number? A.Leo enters an elevator on the second floor and goes down four floors. B. A plane, flying at an altitude of 300 feet, descends 50 feet. C. Irene is scuba diving at –30 feet. She swims 10 feet toward the surface to watch a school of fish. D. April owes her brother $5. On Friday, she gets $10 for her allowance.
The positive number but a negative result would be :
C. Irene is scuba diving at –30 feet. She swims 10 feet toward the surface to watch a school of fish.
The positive value is she swam 10 feet up to the surface, but she is still below the surface, which would be a negative result.
The situation that would involve a change that is from a positive number but ended in a negative number is option C.
This option tells us that at the negative number she was 30 feet below the surface of the water, while at positive number she was 10 feet up the water surface.
What is a positive number?This is a number that is greater than 0.
What is a negative number?This is a number that is less than 0.
Read more on positive and negative numbers here:
https://brainly.com/question/13831313
During the Hari Keusahawanan in a school, 800 booklets of coupons were sold. The price of each booklet of coupons was RM30 and RM50 respectively. The total amount collected was RM30 000. How many booklets of RM30 and RM50 coupons were sold?
(**please use the simultaneous linear equations in two variables to solve this question)
Answer:
hope this is correct
PLEASE HELP ... how many students are in each van? And how many students are in each bus ?
Answer:
7 students in each van and 52 students in each bus.
Step-by-step explanation:
v = no of students in van, b = no of student in bus
High school A ⇒ 3v + 6b = 333 ---------- Equation (1)
High school B ⇒ 11v + 6b = 389 ------------ Equation (2)
Solve equation (1) & (2) simultaneously :
11v + 6b = 389
3v + 6b = 333
----------------------- MINUS
8v + 0 = 56
v = 56 / 8
v = 7
Put v = 7 into Equation (1) to get b:
3v + 6b = 333
3 (7) + 6b = 333
21 + 6b = 333
6b = 312
b = 312 / 6
b = 52
So there are 7 students in each van and 52 students in each bus.
The number of phone calls received by the complaint department of a
small company over a five day period is as follows:
28, 26, 33, 41,47
Find the mean deviation for this data.
Answer:
62.8
Step-by-step explanation:
The slope of the line is y-4= 1/2 (x-1)
Answer:
1/2
Step-by-step explanation:
in point slope form (y-h) = slope(x-k)
The equation in the slope-intercept form will be y = x/2 + 7/2. Then the slope of the equation is 1/2.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y - 4 = 1/2 (x - 1)
Convert the equation into a slope-intercept form. Then we have
y - 4 = 1/2 (x - 1)
y - 4 = x/2 - 1/2
y = x/2 - 1/2 + 4
y = x/2 + 7/2
The equation in the slope-intercept form will be y = x/2 + 7/2. Then the slope of the equation is 1/2.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Find the circumference of the circle below. (Use 3.14 for Pi)
A. 78.5 cm
B. 15.7 cm
C. 31.4 cm
D. 314 cm
so the right answer is 31.4 cm(option C)
please see the attached picture for full solution
Hope it helps
Good luck on your website
Answer:
C. 31.4 cm
Step-by-step explanation:
→The formula for finding the circumference of a circle is:
C = 2πr
→However, it states that we use 3.14 for π:
C = 2(3.14)r
→The "r," is the radius, which is a straight line from the perimeter to the center. In this case, it is already given to us as 5 cm.
C = 2(3.14)(5)
C = 31.4
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 20. Use the empirical rule to determine the followinWhat percentage of people has an IQ score greater than 120?
Answer:
Percentage of people with IQ greater than 120 is 84.134%
Step-by-step explanation:
First thing we do here is to calculate the
z-score
Mathematically;
z-score = (x-mean)/SD
here, x = 120, mean = 100 while SD = standard deviation = 20
z-score = (120-100)/20 = 20/20 = 1
The probability we want to calculate is;
P(x > 120) or P(z >1)
we proceed to use the standard score table to get this;
From the standard score table ;
P(z >1) = 0.84134
which is in percentage = 84.134%
what is = to 95
if u do iwill give u brainliest
Answer:
19 x 5
Step-by-step explanation:
[tex]19 \times 5 = 95[/tex]
FIND THE VALUE OF X FOR THIS MATH QUESTION
Answer:
x = 2
Step-by-step explanation:
Since the central angles are congruent, and all radii are congruent, the triangles are congruent. By CPCTC x = 2.
