Answer:
-7
Step-by-step explanation:
Leading coefficient: the number written in front of the variable with the largest degree.
If a term has two or more variables, its degree is the sum of the exponents of its variables
For [tex]2x^2y - 7x^2y^3 + 6xy^2[/tex]
The degree of the first term of the polynomial is 3 (2 + 1 = 3)The second term of the polynomial is of degree 5 (2 + 3 = 5)The third term of the polynomial is of degree 3 (1 + 2 = 3)Therefore, the leading coefficient is -7 since the greatest sum of the exponents is of the second term.
[tex]\mathbb{FINAL\;ANSWER:}[/tex]
[tex]\huge\boxed{\sf{The\;coefficient\;is\;-7}}[/tex]
[tex]\mathbb{SOLUTION\;WITH\;STEPS:}[/tex]
Hi! Hope you are having a nice day!
The leading coefficient of the given polynomial is -7.
Why? Because the leading coefficient is the number written before the variable with the largest exponent.
In this case, it's -7, because it's written next to a term that's cubed, and that's the largest exponent in the polynomial.
Also, if a term has two variables (or more) then we add the exponents in that term in order to get the degree of the term.
In this case, it's 5.
Hope you could understand everything.
#CarryOnLearning
A=5 what is the value of 3a^2
Answer:
225
Step-by-step explanation:
A = 5. 3A = 3(5) cubed. So 3 times 5 is 15. 15 cubed is 225.
What is the slope of the line that passes through the points (1,-6) and (-2,-8)?
Answer:
the slope is m= 2/3
if you need it for y is y=2/3x-20/3
Please help me solve this
A circle with radius of 1 cm sits inside a 3 cm x 4cm rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
3 cm
1 cm
4 cm
cm?
First of all find the total area and then subtract the area of circle from the area of rectangle, It will be easier that way...
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
Finding area of rectangle:[tex] \qquad \bf \implies \: area = length \times breadth[/tex]
Length = 3 cmBreadth = 4 cm[tex] \qquad \tt \blue\looparrowright \purple{area = 3 \times 4} [/tex]
[tex] \qquad \tt \blue\looparrowright \purple{area = 12 \: {cm}^{2} } [/tex]
Finding area of circle:[tex] \qquad \bf \implies \: area = \pi {r}^{2} [/tex]
π = 22/7r = 1[tex] \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times {1}^{2} } [/tex]
[tex] \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times 1} [/tex]
[tex] \qquad \tt \red\looparrowright \green{area = 3.14 \: {cm}^{2} } [/tex]
Find the area of shaded region now,[tex] \qquad \bf \implies \: area =area \: of \: rectangle - area \: of \: circle[/tex]
Area of rectangle = 12 cm²Area of circle = 3.14 cm²[tex] \qquad \tt \pink\looparrowright \orange{area = 12 - 3.14 } [/tex]
[tex] \qquad \tt \pink\looparrowright \orange{area = 8.86} [/tex]
➪ Thus, The area of the shaded region is 8.86 cm²...~
due tonight help me out please
The average rate of change is the slope.
The slope is equal [tex]\frac{y2-y1}{x2-x1}[/tex], if we were to do that for each set of points, we get the slope is always 8.
Thus the average rate of change is 8.
Which set makes the inequality m < -4 true
Answer:
To solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. The inequality solver will then show you the steps to help you learn how to solve it on your own.
Step-by-step explanation:
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar, and the second brand
contains 15% vinegar. The chef wants to make 360 milliliters of a dressing that is 6% vinegar. How much of each brand should she
use?
First brand:
milliliters
х
?
Second brand:
milliliters
Answer:
You want to set up an equation that will match the word problem. Let's call the amount of the first brand, F, and the amount of the second brand, S.
We want the total mixture to be 310mL so: F + S = 310
Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)
Now, we can solve the system of equations using substitution.
F + S = 310
.06F + .11S = .08(310)
F = 310 - S [solve 1st equation for F]
.06(310 - S) + .11S = .08(310) [substitute into 2nd equation]
18.6 -.06S +.11S = 24.8
.05S = 6.2
S = 124
F + 124 = 310 [substitute answer for S back into original equation]
F = 186
Answer: To make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.
Hope it helps!!!!!!brainliest pls!!!!!!!!Can I get some help!
Answer: See below
Step-by-step explanation:
The usage of passive income instead of collecting and saving your money without risking a loss through investments:
Passive income is money that you make without having to perform a lot of "active" work to keep it. In essence, you may complete the most of the work upfront and put in some extra effort along the secondary source of income.
Passive income reduces your stress, anxiety, and fear of the future unless there are extremely high-risk investments.It allows you to pursue doing the things you love rather than what pays the bills.Passive income gives you the ability to live and work from anywhere.Shelly is planting grass seed in her backyard, as shown by the shaded part of the model.
15 ft
Shelly will use 1 pound of grass seed for every 125 11?
How much grass seed will she need?
15 ft
20 ft
Use the number pad to enter your answer in the box
10 ft
10 ft
+
pounds
20 ft
2
N
3
4
5
2 of 5
Completed
Finish Later
Shelly would need 5 pounds of grass seed to plant in her backyard.
What is an area?Area is the amount of space occupied by a two dimensional shape or figure.
From the image:
Area of the backyard = (10 + 15) * (10 + 20) = 750 ft²
Area of triangle = (1/2) * 10 * 10 = 50 ft²
Area of small rectangle = (25 - 20) * (30 - 15) = 75 ft²
Area of shaded part = 750 - 50 - 75 = 625 ft²
1 pound of grass seed covers 125 ft², for 625 ft²:
Amount of seed = 625 ft² * 1 pound per 125 ft² = 5 pound
Shelly would need 5 pounds of grass seed to plant in her backyard.
Find out more on area at: https://brainly.com/question/25292087
if y=x(x+5)+6 find vertex and roots
Answer:
-5/2,-1/4
Step-by-step explanation:
6. Find the value of y for the rhombus below.
Answer:
2
Step-by-step explanation:
All sides of a rhombus are congruent
x = 3x - 12
-2x = -12
x = 6 (all sides = 6)
8 - y = 6
y = 2
Pls help full equation please 18 through 20 please all answers plsss
Nonsense will be reported!!
[8] The hypotenuses must be congruent, DE and IJ
HL is hypotenuse-leg, or where the hypotenuse and one leg are congruent.
Since we see a leg is congruent, to prove they are congruent with HL we will need to know that the hypotenuses are congruent.
[9] Another leg, AC and YX
LL is leg-leg. Since we have one leg, we will need the other leg to prove the triangles are congruent by LL.
[10] A leg, DE and E? or FE and E?
LA means leg-angle. The angles by point E are vertical angles, so they will be congruent. To finish prooving the congruence using LA we will also need a leg.
-> The question marks are because the letters are too blurry to read.
Help me! Please.✅✅✅✅✅✅
Answer:
Yamateh kudasai
Step-by-step explanation:
hope it helps
Y= - x^2 + 4x + 6 in vertex form
[tex] \rm \color{lime}(2,10)[/tex]
step-by-step explanation:
[tex]\rm \color{lime}y = - {x}^{2} + 4x + 6[/tex]
identify the coefficients[tex]\rm \color{lime}a = - 1,b = 4[/tex]substitute the coefficient into the expressionfind the x-coordinate of the vertex by substituting a = - 1 and b=4 [tex] \tt \tiny \: x = - \frac{b}{29} [/tex][tex]\rm \color{lime}x = - \frac{4}{2x( - 1)} [/tex]
solve the equation for Xfind the y-coordinate of the vertex by evaluating the function for x = 2[tex]\rm \color{lime}y = - {x}^{2} + 4x + 6,x = 2[/tex]
calculate the function value for x = 2[tex]\rm \color{lime}y = 10[/tex]
since the value of the function is 10 for x = 2 the vertex of the graph of the quadratic function is a (2,10)[tex] = \rm \color{hotpink} (2,10)[/tex]
hope it helps
Answer:
y = - (x - 2)² + 10
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
y = - x² + 4x + 6 ( factor out - 1 from the first 2 terms )
y = - (x² - 4x) + 6
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
y = - (x² + 2(- 2) + 4 - 4) + 6
y = - (x - 2)² + 4 + 6
y = - (x - 2)² + 10 ← in vertex form
What is the value of u?
32
90
Answer:
58º
Step-by-step explanation:
angles on a straight line = 180º
90 + 32 = 122
180 - 122 = 58
Maria is 5 years older than her younger sister. If Maria will be n years after 7 years, find their total age in terms of n.
Answer:
n+(n-5)
=2n-5
n years Mary's age
n-5 years younger sisters age
Thanks!
Answer/Step-by-step explanation:
Given:
Maria is 5 years older than her younger sister.
If Maria will be n years after 7 years,
To Find:
Find their total age in terms of n.
Solve:
n+(n-5)
n + n = 2n
2n -5
n - years Mary's age
Therefore, n-5 years younger sisters age
[RevyBreeze]
anyone pls help me in qn 6 pls
Answer:
Step-by-step explanation:
I don't know if this is what your looking for but the 38 cars that are 10 years old are 45.78 in percentage and the 5 cars that are more than 20 years are 6.02 in percentage.
(if you are asking how much more percentage to get from 6.02 to 45.78 its 39.76)
I really did not get the question but hope it help a bit.
Answer:
(A) 46% (B) 13%
Step-by-step explanation:
First we can find the percentage of cars that are at least 10 years old by dividing the amount that are 10+ years old by the total amount of cars
[tex]38/83= 0.45783[/tex]
when made into a percentage that is 46%
Now we can find the percentage of those cars that are 20+ years old by dividing the number of 20+ year old cars by our percentage
[tex]5/38=0.13157[/tex]
When made into a percentage That is 13%
Hope this helps! :)
Melissa walks 3 miles to the house of a friend and returns home on a bike. She averages 4 miles per hour faster when cycling than when walking. The total time for the round trip is 2 hours. Find her speed walking and biking. Set up an equation and solve
SHOW WORK PLS!!
Answer: Melissa's walking speed is 2mph. Her biking speed is 6mph
Step-by-step explanation:
Her total distance is 6 miles, because she walks 3 miles, and so the returning distance must also be 3.
Let her cycling speed (in mph) be x
Let her walking speed (in mph) be y
We know that x = y + 4
Since we know that S = D/T:
T = D/S
So her cycling time must be: T = 3/x
and her walking time must be: T = 3/y
since we know that x = y + 4, we can substitute this into her cycling time, and rewrite it as T = 3/y+4
we also know that 3/y+4 + 3/y = 2, because the problem says that the total time taken was 2 hours.
We simply need to solve this equation now:
3/y+4 + 3/y = 2
The LCD for y+4 and y is y² + 4y
so now we have:
(3y/y² + 4y) + (3y+12/y² + 4y) = 2
(6y + 12)/y² + 4y = 2
6y + 12 = 2y² + 8y
2y² + 2y - 12 = 0
Solve this using factoring:
2y² + 2y - 12 = 0
2(y² + y - 6) = 0
(y+3)(y-2) = 0
using ab = 0, then a or b =0:
y = -3, or y = 2
Since speed cannot be negative, our answer is 2 for y. So y, or the walking speed is 2mph. Since x = y + 4, we know that x = 6 mph
Melissa's walking speed is 2mph. Her biking speed is 6mph
Katrina drove 165 miles in 3 hours. At this rate, how far can she drive in 7 hours?
Answer:
385 miles
Step-by-step explanation:
Let's start by finding the unit rate (how far she can drive in 1 hour):
[tex]\frac{165mi}{3hr}[/tex]
Divide both the numerator and the denominator by 3 hours (Please note that this is essentially dividing the fraction by 1, so we are only simplifying the fraction, not changing it):
[tex]55mi/hr[/tex]
Now, using a unit converter, we can find out far she can drive in 7 hours:
[tex]7hr(\frac{55mi}{1hr})=7*55mi=385mi[/tex]
She can drive 385 miles in 7 hours
which segments (s) are perpendicular to AB
A. segments CD only
B. segments CA and CB
C. segments CA, CD, and CB
2.3x10^8 + 4.7x10^7 =
10^8 and 10^7 is the superscript in Canvas
Group of answer choices
27.7x10^7
2.77x10^8
6.6x10^15
None of the above
Step-by-step explanation:
both of a and b are correct but I don't know how...
Please help me how to solve it and show the work thanks
Step-by-step explanation:
The answer is 33/5.
To multiply fractions, you multiply the numerators to get the numerator of the product and multiply the denominators to get the denominator of the product and then simplify the product. Also, you can make a whole number, which is 28 in this case, into a fraction by putting it over 1. So, that would be 28/1.
First, I multiplied the numerators:
4(11)(28)(9) = 11088
Next, multiply the denominators (and im assuming that last one is a 48, its a bit covered up by the mouse):
5(7)(1)(48) = 1680
So that's 11088/1680
Lastly, you simplify this to get 33/5 (I just used desmos scientific calculator for all of this)
Hope that helps :]
HELP I WILL MARK BRAiNLIEST
Answer:
B) a + 2(a - 3) = 15
Step-by-step explanation:
To see which equation has a = 7, we have to plug 7 into a each time until we find a satisfied equation.
A:
[tex]4(7)-4(14-7)=24[/tex] [tex]28-4(7)=24[/tex] [tex]28-28=24[/tex] [tex]0\neq 24[/tex]B:
[tex]7+2(7-3)=15[/tex] [tex]7+2(4)=15[/tex] [tex]7+8=15[/tex] [tex]15=15[/tex]Therefore, B is the correct answer.
What does AxB equal in I-ready Math?
please help me solve for x
Answer:
can you show a picture
Step-by-step explanation:
it depends on the situation and the problem but normally you would use the other numbers to figure out what number goes in "x"
Need more information to solve for x.
5. Are x and y proportional? Explain Pls helppp me
30 POINTS!!
Answer:
No
Step-by-step explanation:
No, because the rates are not the same for X and Y
Which of the two functions below has the smallest minimum y-value?
f(x) = (x - 13)4-2
g(x) = 3x3 + 2
Answer:
F has the smalled minimum value
Step-by-step explanation:
please help :( put them in the correct spot . Due in 10 minutes!
Answer:
hello
Step-by-step explanation:
I'd put chemical or physical process in which rocks are worn down by in erosion and carrying away of soil rock and other materials in weathering.
Hope this helps
Find the inverse function f -1(x) of the given function f(x).
f(x) = 6 - 0.75( 2x - 4 )
Answer:
Step-by-step explanation: