given the polynomial 6x^4+3x^3-7x^2+4x+5 choose all the following statements that are true?
A. The polynomial has a degree of 6
B. The polynomial has a leading coefficient of 4
C. The polynomial has 4 terms
D. The polynomial has a degree of 4
E. The polynomial has a leading coefficient of 6
Answer:
D and E are true
Step-by-step explanation:
The degree of a polynomial is the value of the largest exponent of the variable within the polynomial, that is the term
6[tex]x^{4}[/tex]
Thus the polynomial is of degree 4 → D
The leading coefficient is the coefficient of the variable with the largest exponent, that is
6[tex]x^{4}[/tex]
The leading coefficient is 6 → E
Work out m and c for the line: 2 y + 3 x = − 5
Answer:
m is -3/2
c is -5/2
Step-by-step explanation:
The standard linear equation is given by;
[tex]{ \tt{y = mx + c}}[/tex]
» m is the slope and c is the y-intercept
Then, our slope is;
[tex] { \tt{2y + 3x = - 5 }} \\ \\ { \tt{2y = - 3x- 5}} \\ \\ { \tt{y = - \frac{3}{2}x - \frac{5}{2} }}[/tex]
ANSWER ASAP PLS
A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
A y=-3x+1
B x = 1/2x +7
C y=-2x-8
D y = 2x + 16
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
= (2-4)/(-2+6)
= -2/4
= -1/2
now
y=mx+c
4=-1/2(-6)+c (you can take any x and y from the given two points. I took from (-6,4)
or,4= 3+c
therefore, c=1
now
y=mx+c
y= -1/2x+1
or, y = 1-x/2
WILL GIVE BRAINLY,5 STARS, THANKS
4,800/60 = 480 tens / 6 tens = ___
Answer:
80
Step-by-step explanation:
Answer:
800 = 80 tens
Step-by-step explanation:
4800 / 60 = 800
when the angle of elevation of the sun is 78 degrees, an Statue casts a shadow that is 6m long. How far is the top of the statue to the end of it's shadow?
Answer:
28.9 m
Step-by-step explanation:
First, we can draw a picture. The statue is on the right, with the top of the statue representing the top right corner of the triangle. The angle of elevation to the sun is 78 degrees, so the angle between the shadow and the top of the statue must be 78 degrees as well. Assuming there is no angle of elevation between the shadow and the statue, we can say that the shadow and statue form a 90 degree angle because the shadow is perfectly horizontal and the statue is perfectly vertical.
We are trying to find the hypotenuse of the triangle, or the length from the top of the statue to the end of the shadow. To do this, we can utilize the fact that
cos(x) = adjacent / hypotenuse
cos(78°) = 6 / hypotenuse
divide both sides by cos(78°) and multiply both sides by hypotenuse to solve for the hypotenuse
hypotenuse = 6/cos(78°) ≈ 28.9 m
A square with an area of 144cm is reduced by a factor of 1/3. How long are the new sides of the square?
Answer:
9.797. . .
Step-by-step explanation:
2/3 of 144 is 96
[tex]\sqrt{96} = 9.797...[/tex]
What is the velocity of a car that traveled total of 75 km north in 1.5 hours?
Answer:
hope this helped!
Step-by-step explanation:
75 km = 75000 m
1.5 hours = 5400 sec
Applying the formula
Velocity
=
75000 m
5400 s
=
13.89 m/s
Will mark brainly!! :)
If f(2) for f(x) = [tex]\frac{2}{x-1}[/tex]+6 is 8. then what is [tex]f^{-1} (8)[/tex]
Answer:
2
Explanation:
we get inverse functions by interchanging places of domain and range of the original fuction so rhe domain becomes a range and the range becomes a domain.
so if 2 belongs to the domain of the original fuction and its corresponding element in the range is 8, we simply interchange between 2 and 8 in order to solve the fuction without any subistitution in the original function.
1. Classify the following polynomials as monomial, binomial trinomial and polynomial. 1) x2 – xy + y + 4
it's polynomial ✨✨✨✨✨✨✨
Answer: polynomial
Step-by-step explanation: I'm not that great at math tell me if this is correct.
4x-y=10 and y=2x-2 answers
Answer:
y = 6
x = 4
How to find 'x':
4x - y = 10
y = 2x - 2
First, you need to substitute the 'y' into the first equation.
4x - 2x - 2 = 10
Next, add the x's together. As it's a negative 2x then take away 2 from 4.
2x - 2 = 10
3. Now that it's a normal equation, you can add 2 to cancel out the -2
2x = 8
4. Then divide the 8 by 2 and you will get the answer to x which is 4
x = 4
How to find 'y':
1. Now that we have found out 'x'. Let's go back to y = 2x -2 and use the x to found the answer out. It should be something like this:
y = 2x - 2
y = 2(4) - 2
y = 8 - 2
8 - 2 = 6
y = 6
Conclusion:
So the answer would be:
y = 6
x = 4
You can see if it's correct by putting y into 4x - y = 10.:
4x - 2 = 10
4(4) - 6 = 10
16 - 6 = 10
So that means that y and x are the correct answer.
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 56 and 64? Round your
answer to the nearest tenth of a percent.
Answer:
62.5%
Step-by-step explanation:
(56 - 62) / 4 = -1.5 z score = 0.0668
(64 - 62) / 4 = 0.5 z score = 0.6915
0.6915 - 0.0668 = 0.6247
Rounded this becomes 62.5%
The probability for the data value in between 56 and 64 is 62.5%.
What is z-score?
The z-score of a value is the count of the numbers of standard deviations between the value and the mean of set.
How to calculate z-score?z-score can be calculated by the formula
z = (x - μ)/σ
where,
μ is the mean
σ is the standard deviation
x is the data point
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
According to the given question
Mean of a normal distribution, μ = 62
standard deviation of a normal distribution, σ = 4
Now for the data value 56, the z-score will be
z = (56 - 62) / 4 = -1.5 z score = 0.0668
So, the area under normal distribution curve z = -1.5
P(z = -1.5) = 0.0668
Similarly,
For the data value 64, the z-score will be
z-score = (64 - 62) / 4 = 0.5
The area under normal distribution curve z = 0.5 is given by
P( z = 0.5) = 0.69
Therefore, the probability for the data value in between 56 and 64 is given by
0.6915 - 0.0668 = 0.6247 = 62.5%
Hence, the probability for the data value in between 56 and 64 is 62.5%.
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Find the mean, median and more for the following data sets. (15, 13, 19, 17, 25, 13, 23, 18, 19, 17, 21)
Step-by-step explanation:
hope it will help you ....
Philip has $5,774 in a savings account. The interest rate is 13%, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
(compound interest formula)
[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 5774(1 + \frac{13}{100} ) ^{1 \times 5} - 5774 \\ \sf= 5774 \times ( \frac{113}{100} ) ^{5} - 5774 \\ \sf= 10638.22 - 5774 \\ \sf = 4864.22[/tex]
Answer:
$4864.22 (approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
The sum of the first and second terms of an AP is 4 the tenth term is 19 find the sum of the fifth and sixth terms
Answer:
20
Step-by-step explanation:
first term + second term = 4
tenth term = 19
fifth term + sixth term = ?
Since this is an arithmetic sequence:
first term = a
second term = a+d
tenth term = a+9d
Then we have
[tex]2a+d=4 \\ a+9d=19[/tex]
Upon solving the system of equation we have:
[tex]a=1 \\ d=2[/tex]
Since:
fifth term = a+4d
sixth term = a+5d
The final answer is:
fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]
given f (x) = 2x - 10 forwhichvalueofxthat f (x) = -12
Answer:
=-240..................
Answer:
x = - 1
Step-by-step explanation:
f(x) = 2x - 10 and f(x) = - 12, then equating gives
2x - 10 = - 12 ( add 10 to both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
Pls explain how to solve this elimination problem!!
In his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has?
A. x + y = 16. 0.10 x + 0.25 y = 2.95.
B. x + y = 16. 0.05 x + 0.25 y = 2.95.
C. x + y = 2.95. 0.10 x + 0.25 y = 16.
D. x + y = 16. 0.01 x + 0.25 y = 2.95.
Answer:
A. x + y = 16; 0.10x + 0.25y = 2.95Step-by-step explanation:
Given:
Dime is $0.10, number of dimes is x, total of dimes = 0.10xQuarter is $0.25, number of quarters is y, total of quarters is 0.25yNumber of coins is 16:
x + y = 16Total amount is $2.95:
0.10x + 0.25y = 2.95Correct choice is A
Triangles â–łABC and â–łDFG are similar. The lengths of the two corresponding sides are 1. 4m , and 56 cm. What is the ratio of the perimeters of these triangles ?.
Answer:
5 : 2
Step-by-step explanation:
The ratio of perimeters of similar triangles is the same as the ratio of any pair of corresponding sides. That ratio is given as ...
1.4 m : 56 cm = 140 cm : 56 cm = 5 : 2
The ratio of the perimeters of the triangles is 5 : 2.
_____
As a unit ratio, it is 2.5 : 1, or 2.5.
Please help ASAP, any links will be reported!
Write an inequality that represents the graph below:
Answer:
x< 0
Step-by-step explanation:
[] An open circle means we will be using < or > and not ≤ or ≥ because the number is not included in the inequality
[] The direction of the inequality sign will go in the direction of the graph, so we will be using < as our number is less than the value given
[] Our final answer, assuming we can use x for this graph, is x < 0
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Question 14
Determine if the given lines are parallel or perpendicular or neither.
3y=2-x
y=-1/3x+4
Answer:
The given lines are parallel.
Step-by-step explanation:
3y=2-x
y=-1/3x+4
-------------
y=2/3-1/3x
y=-1/3x+2/3
y=-1/3x+4
----------------
Since the two lines have exact same slopes, it follows that these two lines are parallel.
I got this homework packet , I did some of the questions but graphs are what I’m stuck on the most .
Answer:
For the first picture, I think it is C and the second one should be A.
Step-by-step explanation:
You use vertical lines and if it hits it multiple times it is not a function. Like if it hits two dots or something it is not a function. I hope that make sense, let me know if it doesn't.
the sum of 2 integers is 61 and their difference is 29.
Answer:
16 and 45
Step-by-step explanation:
Just use guess and check, start with a number too low like 10+39=49. Then go up until you find the number or until you go over.
10)
4x-9
X + 18
Solve for x
Answer:
x = 9
Step-by-step explanation:
The alternate interior angles theorem tells us that these two quantities must be the same.
Therefore,
x + 18 = 4x - 9
x + 18 + 9 = 4x
x + 27 = 4x
27 = 4x - x
27 = 3x
x = 9
---
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4x+y=10 ( ?,-6)
Find the missing value. Show all work.
Answer:
(4 , -6) x = 4.
Step-by-step explanation:
Note that in a pair under ( X , Y) always consists of X as it's 1st element and Y as it's second element.
so now we know that ( ? , -6) has an X value which is unknown.
inorder to find X you'll simply need to use the Y value you're given which is Y = -6 from ( ? , -6)
now plot the y value into the equation
4X + Y = 10 , Y = -6
4X + (-6) = 10
4X + - 6 = 10 ...... we know that A + - B = A - B
4X - 6 = 10
now take -6 to the right side
when -6 is taken to the right side, it changes to +6
and so ..
4X = 10 + 6
4X = 16
now divide both sides by 4 to find X
4X / 4 = 16 / 4
4 the coefficient of X which is 4 cancels with out denominator which is now 4
X = 16 / 4
16 ÷ 4 = 4.
Sara bought a pair of jeans for $75. If the jeans were on sale for $25 off, calculate the discount.
Answer:
33.3333% decrease
Step-by-step explanation:
Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100
75 - 25 = 50
the price went from $75 to $50.
75 - 50 = 25
25 ÷ 75 = 0.3333333333333
0.3333333333333 x 100
= 33.3333%
Answer:
the discount was 33.3% off
Step-by-step explanation:
((New - Old) / |Old|) x 100
((50 - 75) / |75|) × 100
(-25 / 75) = -0.333
-0.333 x 100 = 33.3%
Which equations are true equations?
Select all correct answers.
24/2^2=50−62−8
56÷8+32=2⋅23
82−52=42−7
39−3⋅6=6⋅104+4
Answer: 24/2^2=50−62−8
Step-by-step explanation:
The equations which is true equation is 24/2² = 50−6²−8.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1. 24/2² = 50−6²−8
LHS = 24/2² = 24/4 = 6
RHS = 50−6²−8 = 6
2. 56÷8+32=2⋅23
LHS = 56÷8+32 = 7 + 32 = 39
RHS = 2⋅23 = 46
3. 8²−5² =4²−7
LHS = 8²−5² = 39
RHS = 4²−7 = 21
4. 39−3⋅6=6⋅104+4
LHS = 39−3⋅6 = 35.4
RHS = 6⋅104+4 = 528
Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.
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which quadratic inequality does the graph below represent?
y> or equal to x^2-3.
y< or equal to x^2+3.
y< or equal to x^2-3.
y> or equal to x^2+3
Answer:
y< or equal to x^2-3.
I hope it helps.
HELPPPP The volume for the above figure is
A. 7297 cm3
B. 817 cm2
C. 486 cm3
D. none
of the above
The triangles are congruent due to which criteria?
SAA
SAS
SSS
HL
Answer:
SAS is the answer
Step-by-step explanation:
Answer:
HL.
Step-by-step explanation:
Right triangles with the hypotenuse and one leg congruent
HELPPP:$
Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week? True or false?
Answer:
not proportional
Step-by-step explanation:
because if you multiply 480×40=19200 and 300×25=7500
it is not the same
The earnings of Sal and Lidia will be equal to each other. So, yes their salaries are proportional.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Sal acquires $480 each week. Lidia acquires $300 each week. On the off chance that Sal works 40 hours out of every week and Lidia works 25 hours out of each week.
The earnings of Sal in each hour will be given as,
⇒ $480 / 40
⇒ $12 each hour
The earnings of Lidia in each hour will be given as,
⇒ $300/ 25
⇒ $12 each hour
The income of Sal and Lidia will be equivalent to one another. Along these lines, yes their compensations are corresponding.
More about the ratio and the proportion link is given below.
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