The product for the given polynomial is [tex]8y^5 + 6y^4 + 20y^3.[/tex]
When multiplying two polynomials, it is important to keep track of the exponents of each term. The exponents will determine the degree of the resulting polynomial. To find the product, you multiply each term of the first polynomial by each term of the second polynomial, then combine like terms.
In this case, the first polynomial is 4y^3 and the second polynomial is 2y^2 3y 5. To find the product, you would multiply 4y^3 by 2y^2, 4y^3 by 3y, and 4y^3 by 5. This would give you 8y^5, 12y^4, and 20y^3. Since these are the only terms in the product, you simply add them together to get the final answer of [tex]8y^5 + 6y^4 + 20y^3.[/tex]
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evaluate 27/32 × 16/27, give your answer in its simplest form
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{27}{32}[/tex] × [tex]\frac{16}{27}[/tex] ← cancel the 27 and 16, 32 by 16
= [tex]\frac{1}{2}[/tex]
Translate and solve: -5 times b is no less than 35.
Note: Write your solution in interval notation,
The solution in interval notation b ∈ (-∞ , -7)
-5 times b is no less than 35.
5b ≥ 35
n order to isolate the variable in this linear inequality, we need to get rid of the coefficient that multiplies it.
-[tex]\frac{5b}{5} = \frac{-35}{5}[/tex]
This can be accomplished if both sides are divided by .
Notice that the inequality sign has changed.
b ≤ -7
We need to reduce this fraction to the lowest terms.
This can be done by dividing out those factors that appear both in the numerator and in the denominator.
In our example, this is the common factor:5
b ∈ (-∞ , -7)
We have already found the solution to the inequality, but since we want to represent the solution in interval notation, we have changed it.
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HELP PLEASE ANOTHER ONE!
Answer:
(6.9)
Step-by-step explanation:
i need to add 7/4 + 1/4 +5/3+ 1/3+1/2+1/2
Answer:
5
Step-by-step explanation:
[tex]\frac{7}{4}+\frac{1}{4}+\frac{5}{3}+\frac{1}{3}+\frac{1}{2}+\frac{1}{2}\\\\ =\frac{8}{4}+\frac{6}{3}+\frac{2}{2}\\ \\ =2+2+1\\ \\ =5[/tex]
Absolute value equations and inequalities.
An absolute value equation is an equation that contains an absolute value expression. An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols.
What are absolute value equations and inequalities?The absolute number of a number a is written as |a|
And represents the distance between a and 0 on a number line.
An absolute value equation is an equation that contains an absolute value expression. The equation IxI = a
Has two solutions x = a and x = -a because both numbers are at the distance a from 0.
To solve an absolute value equation as
x+7|=14
You begin by making it into two separate equations and then solving them separately.
x+7=14
x+7−7=14−7
x=7
or
x+7=−14
x+7−7=−14−7
x=−21
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.
The inequality |x|<2 represents the distance between x and 0 that is less than 2 Whereas the inequality |x|>2 represents the distance between x and 0 that is greater than 2.
You can write an absolute value inequality as a compound inequality.
$$\left | x \right |<2\: or
−2<x<2
This holds true for all absolute value inequalities.
|ax+ b| < c, where c>0
=−c < ax+ b < c
|ax+ b|> c, where c>0
=ax+ b <−corax+ b>c
You can replace > above with ≥ and < with ≤.
When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.
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An absolute value equation is an equation that contains an absolute value expression. An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols.
What are absolute value equations and inequalities?The absolute number of a number a is written as |a|
And represents the distance between a and 0 on a number line.
An absolute value equation is an equation that contains an absolute value expression. The equation IxI = a
Has two solutions x = a and x = -a because both numbers are at the distance a from 0.
To solve an absolute value equation as
x+7|=14
You begin by making it into two separate equations and then solving them separately.
x+7=14
x+7−7=14−7
x=7
or
x+7=−14
x+7−7=−14−7
x=−21
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.
The inequality |x|<2 represents the distance between x and 0 that is less than 2 Whereas the inequality |x|>2 represents the distance between x and 0 that is greater than 2.
You can write an absolute value inequality as a compound inequality.
[tex]$$\left | x \right | < 2\[/tex]: or
−2<x<2
This holds true for all absolute value inequalities.
[tex]|ax+ b| < c, where c > 0\\=−c < ax+ b < c\\|ax+ b| > c, where c > 0\\=ax+ b < −corax+ b > c[/tex]
You can replace > above with ≥ and < with ≤.
When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.
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3/6 divided by 5/6 because it’s on my revision list but I can’t work it out
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
[tex]6(x-10)(x+9)[/tex]
Step-by-step explanation:
First, make A equal one by factoring out the greatest common factor, 6. This makes the new expression [tex]6(x^{2} +x-90)[/tex]. Then, factor the remaining polynomial by finding two numbers that multiply to -90 and add to 1. These two numbers are -10 and 9. So, add each term to x and then multiply to get the final answer, [tex]6(x-10)(x+9)[/tex].
To find the distance from the edge of a lake to the tree on the island in the lake, Lisa sets up a
triangular configuration as show in the diagram. The distance from Location A to Location B is 97
meters. The measures of the angles at A and B are 46 and 103 °. What is the distance from the
edge of the lake at B to the tree on the island at C? Round the distance to the nearest tenth of a
meter.
A
B
C
Therefore ,the result is. It means that there exist 17 units between the two points supplied as the answer to the given distance problem.
Specify the distance.An object's travels are quantified by distance. Simply explained, distance, or t, is the amount of space an object covers within a specific period of time. Displacement is still the quickest route a moving object can travel. We frequently take into account the concepts of range and displacement.
Here,
6 and -3 are given (2, -2)
Points (a, b) and (c, d) are now separated by
d= √(c-a)² + ( d- b) ²
d= √(-3+2)² + (2-6)² as a result.
=>d = √ 1 + 16 = √17
The distance between the two places is therefore 17 units.
the result is. It follows there are 17 units between the two points supplied as the answer to the given distance problem.
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54 is 72% of what number?
The basketball team averaged 68 points per game last season and average 77 points per game this season. What is the approximate percent of the increase
According to question we can say that the approximate percentage of the increase is 13.2352%.
What is percentage?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.
Based on the given conditions, formulate: (77 —68)/ 68
e sum or difference:9/68 = 0.132352
0.132352 x100/100
=13.2352%
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answer this question for me.
The angle measure of m∠CAF = 23°.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
The angle measures,
m∠EBG = 23°
m∠CAE = 52°
From the figure,
m∠EBG = m∠FAE = 23°
So, from the figure,
m∠CAE = m∠CAF + m∠FAE
Substituting the angle measures,
52 = m∠CAF + 23
m∠CAF = 52 - 23
m∠CAF = 22°
Therefore, 23° is the angle measure of m∠CAF.
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hey! please help i’ll give brainliest
Answer: A.
Step-by-step explanation: Think of present tense, past tense, future tense
Answer:
A
Step-by-step explanation:
6. Jenna wants to hang outdoor stringed lights on her house along the roof line
and horizontally across, connecting the ends of the roof line to create a triangle.
What is the approximate length, in feet, of lights that she needs to create one
triangle?
A. 48
B. 64
C. 80
D. 98
The approximate length, in feet, of lights that she needs to create one triangle is 64
This is an approximate estimate as the exact length would depend on the specific measurements of the roof line. However, if the roof line is a typical house roof and the string lights are hung horizontally across to connect the ends of the roof line, creating a triangle, the approximate length of lights needed would be the hypotenuse of the triangle (the longest side) which is equal to the square root of (leg 1^2 + leg 2^2).
A typical house roof is approximately 40 feet wide and 20 feet tall, which creates a right triangle with legs of 40 and 20. The hypotenuse of this triangle (the length of lights needed) would be approximately 64 feet (the square root of (40^2 + 20^2) = 64).
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5. Which pair of angles represent corresponding angles?
Mr.Parrillo’s class has adopted a section of a highway to keep clean.If 1/3 of the section is 3/4 how long is the whole section
The whole section is 9/4 unit.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Mr.Parrillo’s class has adopted a section of a highway to keep clean.
1/3 of the section is 3/4.
To find the length of the whole section:
Multiply by 3.
So,
The length of the whole section = 3 (3/4)
The length of the whole section = 9/4
Therefore, 9/4 unit is the length.
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Input the correct values into the point-slope
formula.
y - [?] = [](x - [ ])
A. 3
A line is parallel to y = 3x - 2 and
intersects the point (3, 5).
C. -2
B. 5
D. 1/3
Answer:
B
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 2 ← is in slope- intercept form
with slope m = 3
• Parallel lines have equal slopes
then slope of parallel line is 3
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = 3 and (a, b ) = (3, 5 ) , then
y - 5 = 3(x - 3) ← equation of parallel line in point- slope form
Find the value
9 (2) 7
HELPPPP MEEEE I NEED THIS ASAP
Answer:
15/40 which is 3/8
Plug in the numbers into the variables then complete it which then gives you 3/8 simplified
Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g.
Answer:
The answer is "[tex]cirtical\ points \ (x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})[/tex]"
Step-by-step explanation:
Given:
[tex]g(x) = (x-e)^3e^{-(x-e)}[/tex]
Find critical points:
[tex]g(x) = (x-e)^3e^{(e-x)}[/tex]
differentiate the value with respect of x:
[tex]\to g'(x)= (x-e)^3 \frac{d}{dx}e^{e-r} +e^{e-r} \frac{d}{dx}(x-e)^3=(x-e)^2 e^{(e-x)} [-x+e+3][/tex]
critical points [tex]g'(x)=0[/tex]
[tex]\to (x-e)^2 e^{(e-x)} [e+3-x]=0\\\\\to e^{(e-x)}\neq 0 \\\\\to (x-e)^2=0\\\\ \to [e+3-x]=0\\\\\to x=e\\\\\to x=e+3\\\\\to x= e,e+3[/tex]
So,
The critical points of [tex](x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})[/tex]
Suppose you are given the following rational function: y= 2x-4/x^2-4. What is the corresponding range value when the domain value is {4}?
Answer:
1/3
Step-by-step explanation:
The value of the range of the given function will be 1 / 3.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The solution of the given function will be:-
[tex]y =\dfrac{2x-4}{x^2-4}\\\\\\y=\dfrac{2\times 4 -4}{(4^2)-4}\\\\\\y=\dfrac{1}{3}[/tex]
Therefore the value of the range of the given function will be 1 / 3.
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For automobile safety, the maximum slope that a highway can have is 6%, or 0.06. A surveyor
measures the angle from one edge of the ravine to the other and determines that your bridge
should have a slope of 0.06.
You need to find the length of your bridge if it has a slope of 0.06. This will tell you how much
pavement is needed for the bridge deck
4. Use the definition of slope to calculate the exact rise of the bridge, y (3 points: 2 points for
work, 1 point for the solution)
5. How long is the deck of the bridge? Show how you calculated r. (3 points: 2 points for work, 1
point for the solution)
Answer:
The change in y-axis with respect to change in x-axis is described as slope.
the slope is 0.06, rewrite it as a fraction
the base of the bridge is 50 and height of the bridge is 3, find the hypotenuse using the Pythagorean theorem to get the length of the bridge.
[tex] Length =\sqrt{3^{2}+50^{2}} =\sqrt{9+2500}} =\sqrt{2509}}
Length of the bridge is 50.08
Jupiter is about 5. 2 Astronomical Units (AU) from the Sun. Neptune is about 30. 1 AU from the sun. How many times as far from the Sun is Neptune as Jupiter? First answer gets brainliest
If Jupiter is about 5.2 Astronomical Units (AU) from the Sun and Neptune is about 30.1 AU from the Sun, Neptune is about 5.79 times far from the Sun as Jupiter.
Therefore the answer is 5.79.
To find how many times as far from the Sun Neptune is as Jupiter, we need to divide the distance from the Sun to Neptune by the distance from the Sun to Jupiter.
Neptune is about 30.1 AU from the Sun and Jupiter is about 5.2 AU from the Sun, so:
= Distance from the Sun to Neptune / Distance from the Sun to Jupiter
= 30.1 / 5.2
= 5.79
So, Neptune is about 5.78 times as far from the Sun as Jupiter.
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please help me out will give brainliest
Answer:
Step-by-step explanation:
Rsm question please help!
The multiplication of the algebraic expressions gives x⁴ + 1.5x³ - 2x²
How to perform multiplication on algebraic expressions?An algebraic expression is an expression that consists of variables, constants, and a finite number of algebraic operations (such as addition, subtraction, multiplication, and division) e.g. 2x + 25
In order to perform the multiplication, you use expression outside the parenthesis to multiply the expressions inside the parenthesis one after the other. That is:
-0.5x²(-2x² - 3x + 4) = -2x²(-0.5x²) - 3x(-0.5x²) + 4(-0.5x²)
= 1x⁴ + 1.5x³ - 2x²
= x⁴ + 1.5x³ - 2x²
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Zendaya has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $269.88.
She buys 4 bicycle reflectors for $10.57 each and a pair of bike gloves for $17.76.
She plans to spend some or all of the money she has left to buy new biking outfits for $65.65 each.
Write and solve an inequality which can be used to determine
x
x, the number of outfits Zendaya can purchase while staying within her budget.
Plsss help!!
Answer:
269.88 +4(10.57) +17.76 +65.65x ≤ 540x ≤ 3.2; 3 outfits or lessStep-by-step explanation:
After spending $269.88, 4 times $10.57, and $17.76 of her $540 budget, you want to know how many (x) outfits Zendaya can buy at $65.65 each.
InequalityThe total of Zendaya's spending must be no more than her budget amount:
269.88 +4(10.57) +17.76 +65.65x ≤ 540
SolutionSimplifying the inequality gives ...
329.92 +65.65x ≤ 540
65.65x ≤ 210.08 . . . . . . . . . . subtract 329.92
x ≤ 3.2 . . . . . . . . . . . . . divide by 65.65
Zendaya can purchase up to 3 outfits while staying within her budget.
write as complete square root 3√5
will give brainlyist to whoever can help me or can tell me where to find the answers
Answer:
Step-by-step explanation:
A type of fish for your aquarium costs $5 each. You can spend no more than $30. How many of these
fish can you buy? Write an inequality to model the problem. Then solve the inequality to find the
number of fish.
Let f be the number of fish you can buy. Which inequality models the problem?
A. F+ 5 ≤ 30
B. 5f ≤ 30
C. 5f ≥ 30
D. F+5 ≥ 30
Answer:
B.
Step-by-step explanation:
5 * f (The number of fish) has to be less than or equal to $30
PLEASE HELP I AM BEGGIN YOU EXTRA POINTS AND BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I dont know
Step-by-step explanation:
Answer:
9000 interest
Step-by-step explanation:
that is answer
solve for x. please help.
Answer:
x = 16
Step-by-step explanation:
adjacent angles in a parallelogram are supplementary
3x + 5 + 9x - 17 = 180
12x - 12 = 180
12x = 192
x = 16
Is an absolute value graph increasing or decreasing?
The function increases on [0,∞] and decreases on [-∞,0]. The absolute minimum value of f is 0, and its relative minimum value is the same (0,0).
Explain the nature of absolute value graph?When x< 0, you can see on the graph that there is a "open circle" at (0, 0).
This is owing to the fact that the points on y = x approach (0, 0) as that of the x-values reach 0, as we have already shown. Instead, the open circle was drawn since x must strictly be smaller than zero on just this stretch.A point at (0, 0) is filled in when x ≥ 0, which essentially "plugs" the hole represented either by open circle. Thus, we obtain:The function increases on [0,∞] and decreases on [-∞,0]. The absolute minimum value of f is 0, and its relative minimum value is the same (0,0).The absolute minimum value of f is 0, and its relative minimum value is the same (0, 0). The relative maximum value of F is zero.Thus, due to the graph's indefinitely high y values, there is likewise no absolute maximum value for f.
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