Answer:
Please check the explanation.
Step-by-step explanation:
We know that the degree of a certain polynomial will be the largest degree of any term.
For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 7x⁵ has the highest exponent of x i.e. 5. Thus, the polynomial has a degree of 5.
We also know that the coefficient of the term with the largest degree of the polynomial is called the leading coefficient of the polynomial.
For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 7x⁵ has the highest degree of 5. Thus, the leading coefficient of the polynomial
will be 7.
We also know that the constant term of a polynomial has the degree zero. i.e. the term which involves no variable.
For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 3 does not have any variable involved in it. Thus, the constant term of the polynomial
will be 3.
Coming back to the question:
Given the expression
-7
As the expression has only 1 constant term i.e. -7 which does not involve any variable, hence the expression -7 has the degree zero.As the expression does not involve any variable, so it does not have any leading coefficient.As the expression contains only 1 term i.e. -7, and the term does not involve any variable. Thus, the expression has the constant term -7.Answer:
leading coefficient: -7
constant term: -7
degree: 0
Step-by-step explanation:
A manufacturer is considering building a new and better mousetrap. She estimates the probability that the new mousetrap will be successful is . If it is successful, it would be able to make $120,000. Of course, she would make nothing if it were unsuccessful. The development costs for the mousetrap are $98,000. What is the expected value?
Answer:
$22,000 if successful
Step-by-step explanation:
So if She is able to make $120,000 on the trap, but it cost$98,000, just subtract $98,000 from $120,000 and you get $22,000 if she is successful she can expect that much
Answer:
22,000
Step-by-step explanation:
A rectangular cartoon is 80 cm x60 cm x40 cm .then, how many packets of shops can each of 10 cm x 5cm x 4 cm be kept inside the cartoon
Answer:
8
Step-by-step explanation:
10 x 5 x 4
Multiply everything by 8
80 x 40 x 32
You can't go over that because 80 is at it's limit.
8
Explicación paso a paso:
10 x 5 x 4
Multiplica todo por 8
80 x 40 x 32
No se puede pasar de eso porque 80 está en su límite.
espero te sirva
the graph shows the solution to which inequality
y>2/3x+1
Answer:
The graph shows the solution to which inequality y>2/3x+1.
Step-by-step explanation:
hope that helps
Nel salone di un rivenditore di automobili, il 20% delle macchine sono SUV, il 35% sono monovolume e 27 sono berline. Calcola il numero di SUV.
Answer: 12
Step-by-step explanation: 27 sedanes son 45% (de 100 - (35 + 25)) es necesario hacer 27/45 para averiguar la tasa unitaria, multiplicar la tasa unitaria por porcentaje para averiguar la respuesta
Write the equation of the line that passes through the point (-4, -9) and has a slope of 1/2
Answer:
The answer is y=1/2x-7
Step-by-step explanation:
y-y=m(x-x¹)
y-(-9)=1/2(x-(-4)
y+9=1/2x+2
-9 -9
y=1/2x-7
Question 3
~ True or false?
Answer:
It is true
Step-by-step explanation:
20/-7 is ~2.56
-2.8 (8 repeating) is -2.8......
So it is true
Hope this helps!
Answer:
True
Step-by-step explanation:
You are at a parade looking up at a large balloon floating directly above the street. You are 60 feet from a point on the street directly beneath the baloon. To see the top of the baloon, you look up at an angle of 53°. To see the bottom of the ballon you look up at an an angle of 29°. Estiamte the height, h, of the balloon to the nearest foot. Answer with only the numeric value
Answer:
The height of the balloon is 46 feet.
Step-by-step explanation:
Let the height from the ground to the top of the balloon be represented by x. Applying the appropriate trigonometric function, we have;
Looking at the top of the balloon,
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 53° = [tex]\frac{x}{60}[/tex]
x = 60 x Tan 53°
= 79.6227
x = 79.62 feet
Looking at the bottom of the balloon, let the height from the ground to the bottom of the balloon be represented by y.
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 29° = [tex]\frac{y}{60}[/tex]
y = 60 x Tan 29°
= 33.2585
y = 33.26 feet
The height of the balloon = x - y
= 79.6227 - 33.2585
= 46.3642
The height of the balloon is 46 feet.
Question 5(Multiple Choice Worth 4 points) (04.07A) A line passes through (2, 8) and (4, 12). Which equation best represents the line?
y = 1 over 2x + 6
y = 2x + 7
y = 2x + 4
y = 1 over 2x + 10
Answer:
y- 2x + 4
Step-by-step explanation:
Answer:
y- 2x + 4
Step-by-step explanation:
Which is the equation of the parabola that
opens to the right, has a focus at (3.0), and
has a directrix at x=-3?
Answer:
The equation of the parabola will be:
[tex]\:y^2=12x[/tex]Step-by-step explanation:
The vertex (h, k) is halfway between the directrix and focus.
Find the x coordinate of the vertex using the formula
x = (x-coordinate of focus + directrix)/2
= (3-3)/2
= 0/2
=0
The y -coordinate will be the same as the y-coordinate of the focus.
so the vertex will be: (0, 0)
Finding the distance from the focus to the vertex
The distance from the focus to the vertex and from the vertex to the directrix is |p|.
Subtract the x coordinate of the vertex from the x -coordinate of the focus to find p .
[tex]p=3-0[/tex]
[tex]p=3[/tex]
Substitute in the known values for the variables into the equation
[tex]\left(y-k\right)^2=4p\left(x-h\right)[/tex]
[tex]\left(y-0\right)^2=4\left(3\right)\left(x-0\right)[/tex]
[tex]\:y^2=12x[/tex]
Therefore, the equation of the parabola will be:
[tex]\:y^2=12x[/tex]A store donated 2 1/4 cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?
Answer:
432 crayons
Step-by-step explanation:
convert 2 1/4 to 9/4
1 case=24 boxes=8 crayon in each box
24*8=192 for 1 case
9/4*192=432
The center received 432 crayons
Classify this polynomial.
2n
A:Liner
B:quadratic
C:cubic
D:none of these
Answer:
Step-by-step explanation:
this polynomial is to thhe first degree 2[tex]n^{1}[/tex] so is a linear one
Please help!!!!!!!!!
Answer:
ascending order:
angle KLM
angle KML
angle LKM
Step-by-step explanation:
angle opposite to the largest side is the largest angle:
largest angle = angle LKM
angle opposite to the smallestest side is the smallest angle:
smallest angle = angle KLM
The value of x In the proportion
1/2:2/3 = 3/4x Is
A.1
B. 1/4
C.17/9
D.4/9
Answer:
A
Step-by-step explanation:
[tex]\frac{1}{2} : \frac{2}{3} =\frac{3}{4} x\\\\\frac{1}{2} * \frac{3}{2} =\frac{3}{4} x\\\\\frac{3}{4}= \frac{3}{4} x\\\\\frac{3}{4}*\frac{4}{3}=x\\\\\frac{12}{12}=x\\\\x=1[/tex]
Find the slope of the line y = –5x − 1
Answer:
-5
Step-by-step explanation:
The function follows y = mx + b form where m is the slope.
m = -5
The slope is -5
Answer:
-5
Step-by-step explanation:
the equation is written in form y = mx + b
The m is the slope and the b is the y intercept.
So the m in the equation is -5.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks the players to run from one corner to the other corner across the middle of the field.
Answer:
And the question is???
Answer:
Step-by-step explanation:
use the pythagorean therom:
a^2 + b^2 = c^2
substitute in your values
90^2 +120^2=c^2
multiply
8100+14400=c^2
add
22500=c^2
take the square root of both sides
c= 150 meters :)
PLZ HELP I SUCK AT MATH :( JUST LIKE MY USERNAME SAYS :(
Which of the following equations have exactly one solution?
Choose all answers that apply:
(Choice A)
-19x + 18 = -19x + 18
(Choice B)
-19x -18 = -19x + 18
(Choice C)
19x + 18 = -19x + 18
(Choice D)
19x - 18 = -19x + 18
Answer:
Option C and Option D have exactly one solution.
Step-by-step explanation:
The equation will have exactly one solution when it completely solves and we get value of x.
Checking all choices
(Choice A)
-19x + 18 = -19x + 18
-19x+19x=18-18
0=0
(infinite solutions)
(Choice B)
-19x -18 = -19x + 18
-19x+19x=18+18
0≠36
(no solution)
(Choice C)
19x + 18 = -19x + 18
19x+19x=18-18
38x=0
x=0
(One solution)
(Choice D)
19x - 18 = -19x + 18
19x+19x=18+18
38x=36
x=36/38
x=18/19
(One solution)
So, Option C and Option D have exactly one solution.
The number 0 is a solution to which of the following inequalities? Select all that apply. x – 5 ≤ -3
Answer:
The number 0 is a solution to that specific inequality
Step-by-step explanation:
0-5 <- -3
-5 <- -3
-3 is greater than -5
???????????????????????
Answer:
I can't see the yellow..... but it should be subtract 10 from both sides!
So the answer is cyan or light blue (2nd one)
Step-by-step explanation:
Hope this helps! Mark as Brainliest!
What is your favorite place to get wings and what type of wings do you like?
I need help with this
Answer:
y=-1/3x+2
Step-by-step explanation:
I NEED HELP ASAP, WILL MARK BRAINLIEST Find the value of y. Round to the nearest tenths place.
Answer:
Side a = 1
Side b = 0.5
Side c = 0.86603 = √3/2
Nearest tenths is 0.9
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculates 2 sides based on 3 given angles and 1 side.
b = a·sin(B)/sin(A) = 0.5
c = a·sin(C)/sin(A) = 0.86603 = √3/2
Area =
ab·sin(C)
2
= 0.21651
Perimeter p = a + b + c = 2.36603
Semiperimeter s =
a + b +c
2
= 1.18301
Height ha =
2×Area
a
= 0.43301
Height hb =
2×Area
b
= 0.86603
Height hc =
2×Area
c
= 0.5
Median ma = √(a/2)2 + c2 - ac·cos(B) = 0.5
Median mb = √(b/2)2 + a2 - ab·cos(C) = 0.90139
Median mc = √(c/2)2 + b2 - bc·cos(A) = 0.66144
Inradius r =
Area
s
= 0.18301
Circumradius R =
a
2sin(A)
= 0.5
0.86 is more than 0.85 so the nearest tenths place has to be 0.9
I will also post questions and you please answer them
hellllpppppp meeeeeee please
Answer:
#3
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
[tex]\frac{7x}{2} <5\\7x<10\\x<\frac{10}{7}[/tex]
what is the answer for 7(x+2) = 6(x+1)
Answer:
x= -8
Step-by-step explanation:
Simple math
Answer: x = -8
7(x + 2) = 6(x + 1)
⇔ 7x + 14 = 6x + 6
⇔ 7x - 6x = 6 - 14
⇔ x = -8
Step-by-step explanation:
Acme is selling a 6 pound turkey for $25.50.
Write the rate
What is the unit rate
Answer:
$4.25 each pound
Step-by-step explanation:
To find the unit rate you want to divide the price by the pound
25.50 / 6 = 4.25
Therefore it's $4.25 each pound which is the unit rate
It S.P. =Rs810, loss percent=10% find C.p
Answer:
x=900
Step-by-step explanation:
100-10=90
90/100=0.9
x*0.9=810
x=810/0.9
x=900:)
hope it helps!!
Have a great day
The length of a rectangle is the sum of the width and 2. The area of the rectangle is 48 units. What is the length, in units, of the rectangle? please hurry
Answer:
The answer is 48 divided by 2= 24.
Hope I helped.
Help me on this please
Answer:
answer d
Step-by-step explanation:
negative exponents need to be put into the denom
Using the protractor, find the angle measure.
Can someone help I will brainlest
Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.
A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4
Answer: I would have to go with e because it is the closest because it is -2 and if it were to get to zero it wouldn't take that long.
Step-by-step explanation: