Answer:
"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"
Step-by-step explanation:
We have the expression:
[tex]-\frac{x^3}{6} - 10 + x[/tex]
First, what does that expression represents?
As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.
How many terms are there?
The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.
What is the constant term?
The constant term is the term where the variable, x, does not appear, here the constant term is: -10
What is the leading coefficient?
The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:
[tex]-\frac{x^3}{6} -10 + x = (\frac{-1}{6})*x^3 - 10 + x[/tex]
the leading coefficient is:
(-1/6)
There is a part of the statement that I can't read, i suppose that there says:
"leading degree"
this is just the largest power of x that appears in the polynomial, in this case, is 3.
Then the complete statement is:
"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"
True or False:
A cube root is when you think about what number multiplies by itself 4 times to give us that number.
Answer:
False. It's 3 times.
Step-by-step explanation:
A survey went out asking consumers about their shopping habits. The results showed that
165 people were more likely to go to a store if they had a coupon. This represents 66% of
the total number of people who took the survey
How many people took the survey?
F: 25
G: 109
H: 199
J: 250
Answer:
G
Step-by-step explanation:
In math whenever you have the word "of" it means multiply, so 66% of the total number of people who took the survey( which is 165) is 66/100 multiplied by 165.
[tex]\frac{66}{100} *165= 108.9[/tex] which rounds up to 109
Find the surface area of the composite figure.
Answer:
470
Step-by-step explanation:
there are several surface areas.
1. the 4 side walls of the big block = 4*12*7 = 336
2. top and bottom of the big block = 2* 7*7 = 98
3. subtract the small rectangular area from the top area covered by the small block = 2*7 = 14
4. the 3 (visible) side walls of the small block on top =
3* 2*7 = 42
5. the small top and bottom areas of the small block =
2* 2*2 = 8
so, 1.+2.-3.+4.+5. = 470
Which of the following correctly combines these terms? 3a + 6b - 7a + (-3b) + 9c
F. 8abc
G. 4a " 3b + 9c
H. 8 + abc
I. -4a + 3b + 9c
Answer:
I
Step-by-step explanation:
We have to added up the like therms
like therms are therms with the same literal parts
3a - 7a = -4a
6b-3b= 3b
-4a + 3b+ 9c
Sally went to the video game store and bought 2 used video games for $22.50 each, one new game for $55, and a gaming magazine for $12.95. There was 6.5% tax on the purchase. What was the total purchase price after tax?
Answer:
$120.29
Step-by-step explanation:
first you add the normal prices of what sally bought, then add 6.5% of the price she paid.
22.5(2) + 55 + 12.95 = 112.95
6.5 x
----- = -----
100 112.95
6.5(112.95) = 100x
734.175/100 = 100x/100
7.35 ≅ x
112.95 + 7.35 = 120.30
I think that's it! Let me know if it is! If so, please maybe consider giving me Brainliest! It would really help me out!
Select the correct answer.
Find the value of g(7) for the function below.
g(x) = zur
Answer:
B
Step-by-step explanation:
To evaluate g(7) substitute x = 7 into g(x) , that is
g(7) = [tex]\frac{7}{8}[/tex] × 7 - [tex]\frac{1}{2}[/tex]
= [tex]\frac{49}{8}[/tex] - [tex]\frac{4}{8}[/tex]
= [tex]\frac{45}{8}[/tex] → B
One serving of Mike’s crackers has 150 calories and a mass of 30 grams.
How many calories are in 6 grams of the crackers?
Step-by-step explanation:
You need to times it, so 150 x 30, and then whatever it is, thata the answer
algebra help pls answer
Find the surface area of the pyramid below. You do not need to include units. 8 cm 5 cm
Answer:
A=lw+l(w
2)2+h2+w(l
2)2+h2Step-by-step explanation:
Answer:
40
Step-by-step explanation:
well I need the 3rd number but right now the answer is 40
Suppose a straight line is fit to data having response variable y and explanatory variable x. Predicting values of y for values of x outside the range of the observed data is called
Answer:
Extrapolation
Step-by-step explanation:
Given
[tex]x \to[/tex] Explanatory variable
[tex]y \to[/tex] Response variable
Required
Predicting y outside range of x is called
This is referred to as extrapolation.
Take for instance, the range of x is: 1 - 9
You have extrapolated when, 10 is assumed to be the value of x and this value is entered in an equation to predict y.
A square is rotated clockwise about center point P.
Click on all the degrees of rotation that will carry the square onto itself,
45
900
120
135
180
225
240
270
315
360
The degrees of rotation that will carry the square onto itself are,
⇒ 90°, 180°, 270°, 360°
Since, A Square is a two dimension figure with 4 sides, 4 corners and 4 right angles. All the sides of the square are equal and parallel to each other.
Given here:
A square is rotated clockwise about center point P.
Now , Since there are have 4 vertices, your starting vertex can land in 4 different starting places and still come up with the same figure.
So if you take 360/4 you get 90 degree rotations to each consecutive vertex.
or more specifically;
= 360/4
= 90
Hence, the square will coincide itself after every integral multiple of 90.
Thus, 90°, 180°, 270°, 360° are the required angles of rotation.
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Please help me I will give 30 points
Answer:
a, c, & d
Step-by-step explanation:
-6,1 , 0,5 , 1,7 hope this help
Please help me find the mean and the range.
mean: 5.5 hours
range: 7.9 hours
PLS HELP ILL GIVE BRAINLIEST
What are the coordinates of the center of the ellipse?
Answer:
Step-by-step explanation:
Standard equation of an ellipse,
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
(h, k) is the center of the ellipse
Value of a = Distance of the center from the vertex
b = Distance of the center from the covertex
From the picture attached,
a = Distance of the center (h, k) from the vertex (2, -2) = 3 units
b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit
Center of the ellipse (h, k) = (-1, -2)
Who want points and brainlist just answer quick............
Answer: 1/16
Step-by-step explanation:
DESPERATE, PLEASE ANSWER FAST
(multiple choice answer)
Which associations best describe the scatter plot?
Select each correct answer.
Linear association
Nonlinear association
Negative association
Positive association
Answer:
Nonlinear association
Step-by-step explanation:
It cost $16.80 for a half dozen cookies. How much does one cookie cost?
i need helpp please this is due today (show work/explanation)
Answer:
14 x 14 = 196
10 x 14 x 1/2(basically just dividing by 2) = 70
70 x 4(four sides of triangles) = 280
Now let's add the areas together:
196 + 280 = 476 cm^2 is your answer.
f(x)=2x2−10x+11 What is f(4)?
Set the polynomial equal to y y to find the properties of the parabola. y=2x2+10x+11 y = 2 x 2 + 10 x + 11. Rewrite the equation in vertex form. Tap for more steps.
If a card is drawn at random from a standard 52-card deck, what is the probability that
the card drawn is:
Note: Give your answer as a fraction in simplest form or as a decimal rounded to the
nearest thousandths place.
a) a face card?
b) a red card?
c) a queen?
d) a club?
e) an Ace or 10?
Answer:
a) 12/52 = 3/14
b) 26/52 = 1/2
c) 4/52 = 1/13
d) 13/52 = 1/4
e) 8/52 = 2/13
Step-by-step explanation:
a) there are 12 face cards and 52 in the deck
b) half the cards are red, the other half black
c) one queen in each of four suits
d) the deck is broken up into 4 equal suits (hearts, diamonds, spades, clubs) so there are 13 of each.
e) like the answer in part C, there is one of each card in each of the four suits. that gives us four aces and four tens.
The day before yesterday I was 25. The next year I will be 28. This is true only one day in a year. What day is my Birthday?
Yesterday was your birthday. (May 29)
Can anyone help on this i don't understand it
the chooses for the choose is
15
12
10
14
11
13
9
Which expression is equivalent to v147?
Determine the period.
Answer:
the period is the to top points of the highest points on top of the crests
The period of function is,
P = 5
Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.
Here, Graph of function is shown.
Hence, The period of function is,
P = 10/2
P = 5
Because there is two wave are shown.
Therefore, The period of function is,
P = 5
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Mai put $4,250 in the bank for a rate of 4% simple interest per year. After
3 years, what will be the balance of her bank account?
0
Answer:
4760
Step-by-step explanation:
Simple interest formula:
PV(1+it)
4250(1+.04*3)=4760
Halla el volumen del siguiente prisma triangular...
Answer:
El volumen del prisma triangular es 110 centímetros cúbicos.
Step-by-step explanation:
El volumen del prisma ([tex]V[/tex]), en centímetros cúbicos, es igual al producto del área superficial del triángulo ([tex]A[/tex]), en centímetros cuadrados, y la profundidad del prisma ([tex]z[/tex]), en centímetros:
[tex]V = A\cdot z[/tex]
[tex]V = \frac{1}{2}\cdot b\cdot h\cdot z[/tex] (1)
Donde:
[tex]b[/tex] - Base del triángulo, en centímetros.
[tex]h[/tex] - Altura del triángulo, en centímetros.
Si sabemos que [tex]b = 4\,cm[/tex], [tex]h = 5.5\,cm[/tex] y [tex]z = 10\,cm[/tex], entonces el volumen del prisma triangular es:
[tex]V = \frac{1}{2}\cdot (4\,cm)\cdot (5.5\,cm)\cdot (10\,cm)[/tex]
[tex]V = 110\,cm^{3}[/tex]
El volumen del prisma triangular es 110 centímetros cúbicos.
Please help!
Factor 4x^2-16x
Answer:
Step-by-step explanation: 3 because 4x2=8 so you would have to do 8x4 =32
IM BEING TIMES HELPPPPPPPP THANK YOUUUUUUU
Answer:
1. make both equal, so...
-14/24 + 9/24
=-5/24
Step-by-step explanation:
Solve the following system. y = 2x2 - 3x - 4 and y + x = 8. Enter the solution with the smaller x value first. The solutions are ( , ) and ( , )
The solutions of the nonlinear system of equations are the points (x₁, y₁) = (- 2, 10) and (x₂, y₂) = (3, 5).
How to solve a system of algebraic equationsWe find in this place a non-linear system formed by a quadratic equation and a linear equation, which can be solved by algebra properties. The complete procedure is shown below:
y = 2 · x² - 3 · x - 4 (1)
y + x = 8 (2)
By (2) in (1):
2 · x² - 3 · x - 4 + x = 8
2 · x² - 2 · x - 12 = 0
2 · (x² - x - 6) = 0
2 · (x - 3) · (x + 2) = 0
x = 3 ∨ x = - 2
y = 8 - 3 ∨ y = 8 - (- 2)
y = 5 ∨ y = 10
The solutions of the nonlinear system of equations are the points (x₁, y₁) = (- 2, 10) and (x₂, y₂) = (3, 5).
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In parallelogram MNPQ if QR=5 find RN.
Answer:
RN=5
Step-by-step explanation:
QR is congruent to RN therefore they are the same length