Answer:
Part 1) Is a cubic expression
Part 2) The quadratic expression is 12x² + 8x − 1
Step-by-step explanation:
Part 1) Classify the expression: 5x³ + 2x − 3
we know that
Polynomials can be classified two different ways - by the number of terms and by their degree.
so
a) By the number of terms is a trinomial, because has three terms
b) By their degree The degree of the polynomial is found by looking at the term with the highest exponent on its variable
The highest exponent is 3 so this is a 3rd degree trinomial
therefore
Is a cubic expression
Part 2) Choose the expression that represents a quadratic expression
we know that
If the expression is a quadratic equation , then the highest exponent of the variable is 2
therefore
The quadratic expression is 12x² + 8x − 1
Answer:
1. Cubic expression
2. [tex]12x^2+8x-1[/tex]
Step-by-step explanation:
1. We have the expression [tex]5x^3+2x-3[/tex] and we have to classify it.
A quadratic expression has the form [tex]ax^2+bx+c,a\neq 0[/tex].
We can see that the first term is squared. And in the expression that we have to classify the first term is raised to the cubic, then it isn't a quadratic expression.
A linear expression has the form [tex]ax+b[/tex].
We can see that it only has two terms and the first term has exponent 1. The expression [tex]5x^3+2x-3[/tex] has 3 terms and the first term has exponent 2 then it isn't a linear expression.
A cubic expression has the form[tex]ax^3+bx^2+cx+d[/tex].
We can see that the first term is raised to the cubic. And [tex]5x^3+2x-3[/tex] is raised to the cubic.
We can rewrite it: [tex]5x^3+2x-3=5x^3+0x^2+2x-3[/tex]
[tex]a=5\\b=0\\c=2\\d=-3[/tex]
The expression [tex]5x^3+2x-3[/tex] agrees with the definition of a cubic expression. Then it's a cubic expression.
An Exponential expression has the form [tex]y=ab^x, a>0[/tex]
2. We said that a quadratic expression has the form [tex]ax^2+bx+c,a\neq 0[/tex].
Then the expression that agrees with the definition is [tex]12x^2+8x-1,a\neq 0[/tex]
With,
[tex]a=12\\b=8\\c=1[/tex]
What’s the answer?????
Answer:
1:0,2,4,6,8,10
2:0,5,10,15,20,25
Step-by-step explanation:
PLS HELP ME ASAP THIS IS DUE TMRW
Answer:
Dylan and Nadhii agree. The value of both of their ratios is equivalent, so their ratios are also equivalent.
Good luck<3
A number line graph is shown: The picture is below
Based on the graph, which inequality is correct for a number that is to the left of −4?
A: −8 < −4
B: −7 > −4
C: −6 > −4
D: −3 < −4
Looking at the line graph any - number to the left of the -4 would be less than -4.
This would make A true, -8 is less than -4
Answer:
The answer for this question is A: −8 < −4
Step-by-step explanation:
If you have 0 on the number line and label the points - 4 would be closer to 0 than -8 . The greater number is the number that is closer to the 0.
What is the inverse operation for this problem? 6*x=36?
Answer:
Step-by-step explanation:
6*x=36
the inverse operation is the division x = 36/6 = 6
What is the rate of change for this problem??
same thing here, let's pick two points, any two points off the table to get the slope.
[tex]\bf \begin{array}{|cc|ll} \cline{1-2} tables&cost\\ \cline{1-2} 1&10\\ 2&18\\ 3&24\\ 4&28\\ \cline{1-2} \end{array} \begin{array}{llll} \\[1em] \leftarrow \\\\ \leftarrow \end{array}\qquad \qquad (\stackrel{x_1}{2}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{28})[/tex]
[tex]\bf \stackrel{\textit{\large average rate of change}}{\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{28}-\stackrel{y1}{18}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{10}{2}\implies 5}[/tex]
Use distributive property to rewrite 7(13+12)
Answer:
175
Step-by-step explanation:
7(13+12)
distribute 7 to 13 and 12
(91+84)
175
By distributive property the expression 7(13 + 12) can be rewritten as 175.
To rewrite the expression 7(13 + 12) using the distributive property, we multiply 7 by each term inside the parentheses:
7(13 + 12) = 7 × 13 + 7 × 12
This simplifies to:
91 + 84
Adding the two terms, we get:
175
Therefore, using the distributive property, 7(13 + 12) can be rewritten as 175.
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need help asap! pls do it asap
Answer:
the correct answer is 30
Step-by-step explanation:
help me pls OMGGGGGG
Answer:
0
Step-by-step explanation:
[tex] \sqrt{2 \times 5 \times 5 } - \sqrt{2 \times 3 \times 3} - \sqrt{2 \times 2 \times 2} \\ 5 \sqrt{2} - 3 \sqrt{2} - 2 \sqrt{2} \\ (5 - 3 - 2) \sqrt{2} \\ 0 \times \ \sqrt{2} \\ 0[/tex]
Answer:
Example 1: 4√2; 1. 3√5 + 2
Step-by-step explanation:
1. √¼ + √9⁄4 - √45
½ + 1½ + 3√5 = 3√5 + 2
Example 1: √50 - √18 + √8
5√2 - 3√2 + 2√2 = 4√2
So, the way this works is to find two factors where one of them is a non-perfect square and the other is a perfect square. You factor out the POSITIVE root and leave the non-perfect square factor inside the radical.
I am joyous to assist you anytime.
Hailey went to the market and bought 5 pounds of coffee that costs $2 a pound. She also purchased 2/3 pounds of lunch meat that cost $9 a pound . How much did Hailey spend at the market?
please help TVT
Answer:
$16
Step-by-step explanation:
$2 x 5 = $10
1 pound = $9
2/3 = $6
10+6=16
Please help, I don't know how to do this.
Provide reasons for the proof.
Given: Angle 2 = angle 4
and angle 2 and angle 3 are supplementary
Prove: angle 1 = angle 3
To prove that angle 1 is equal to angle 3, we can use the given information and the properties of supplementary angles. Using substitution and algebraic manipulations, we can show that angle 1 is indeed equal to angle 3.
Explanation:To prove that angle 1 is equal to angle 3, we can use the given information and the properties of supplementary angles.
Given: angle 2 = angle 4 and angle 2 and angle 3 are supplementary.
Since angle 2 and angle 4 are equal, we can substitute angle 4 with angle 2 in the given statement, giving us angle 2 = angle 2. Now, since angle 2 and angle 3 are supplementary, their sum is 180 degrees. So angle 2 + angle 3 = 180 degrees. We can rewrite this equation as angle 2 = 180 - angle 3. Now, we can substitute angle 2 in the equation with angle 4 (which is equal to angle 2), giving us angle 4 = 180 - angle 3. Rearranging this equation, we get angle 3 = 180 - angle 4. Since angle 4 = angle 2, we can substitute angle 4 with angle 2 in the equation, giving us angle 3 = 180 - angle 2. Finally, since angle 3 = 180 - angle 2, and angle 2 = angle 4 (from the given information), we can conclude that angle 1 = angle 3.
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Final answer:
The geometry proof demonstrates that angle 1 is congruent to angle 3 by using properties of supplementary and congruent angles.
Explanation:
The student is asking for help with a proof in geometry, a branch of mathematics. The proof involves understanding the properties of supplementary angles and congruent angles. Here is a step-by-step explanation addressing the problem:
If angle 2 is congruent to angle 4 (Given), then by definition, angle 2 and angle 4 have the same measure.Since angle 2 and angle 3 are supplementary (Given), their measures add up to 180 degrees.Because angle 2 is congruent to angle 4, angle 4 must also be supplementary to angle 3, as it has the same measure as angle 2.Angles supplementary to the same angle are equal to each other. Therefore, angle 1, which is supplementary to angle 4, must be congruent to angle 3.Consequently, we have proven that angle 1 is congruent to angle 3.
Geometry halp plz. . .
what is the value of x
Answer:
the equation to find interior angles of a triangle is 180 (n - 2)..n is the no of sides
●180 (n - 2)
180 (5 - 2)
180 × 3
540°
so 540 - (131 +110 + 108 + 107)
540 - 456
x = 84°
I need help with 9 And 10
Answer: for question # 9 , the value of X is 9
Step-by-step explanation:
2x+5=x+14 , then you subtract 5 on each side , leaving you with , 2x=x+9 , and you subtract x on both sides , leaving you with x=9
Answer: 9 : x=9
Step-by-step explanation: 2x + 5 + x +14 so then -x on both sides so x+5=14 then -5 on both sides so x=9
an the other one I dunno sorry
The fraction models below represent two fractions of the same whole. How much of the Fraction 5 over 8 is in the Fraction 1 over 2?
Two rectangles of the same size are drawn side by side touching each other. The first rectangle is divided into 8 portions of equal size. Five of these are shaded. The shaded portion alone is labeled as 5 over 8. The second rectangle is divided into 2 portions of equal size. One portion is shaded. The shaded portion alone is labeled 1 over 2.
Fraction 5 over 16
Fraction 4 over 5
Fraction 5 over 4
Fraction 16 over 5
To find how much of 5/8 is you would need to divide 1/2 by 5/8:
X = (1/2) / (5/8)
When dividing fractions, you reverse the second fraction and multiply:
X = (1/2) x (8/5)
X = 8/10
Simplify:
X = 4/5
The fractional amount of the fraction 5 over 8 in the fraction 1 over 2 is the fraction 4 over 5. Therefore, Option B is correct.
From the information given;
We are to find how much the Fraction 5 over 8 is in the Fraction 1 over 2
This implies that we need to divide the fraction 5 over 8 i.e. [tex]\mathbf{\dfrac{5}{8}}[/tex] by the fraction 1 over 2 i.e. [tex]\mathbf{\dfrac{1}{2}}[/tex]
Mathematically;
[tex]\dfrac{1}{2} \div \dfrac{5}{8}[/tex]
[tex]\mathbf{= \dfrac{1}{2} \times \dfrac{8}{5} }[/tex]
[tex]\mathbf{= \dfrac{4}{5}}[/tex]
Therefore, we can conclude that the fractional amount of the fraction 5 over 8 in the fraction 1 over 2 is the fraction 4 over 5.
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How do I solve the expression -4d+3 d if =-1
Answer:The answer would be -1
Step-by-step explanation:
First insert the -1 into the equation which would look like this -4(-1)+3 which is then multiplication which would narrow the solution down to -4+3 which a negative plus a positive is a rule called you always subtract and the number with the bigger value determines what sign you use so in this equation it would be 4 since 4 is bigger than 3 which 4-3 equals 1 so then carry the negative sign down with you and that would get you your answer of -1
1/4 (12x−5.6)=0.5(3x+0.7)
Answer:
7/6
Step-by-step explanation:
Firstly we have to distribute it and write in this form
1/4*12x-1/4*5.6=0.5*3x+0.5*0.7
3x-1.4=1.5x+0.35 ( now that we have multiplied and simplified it we will combine like terms remember whenever you move it to the other side of equal signs it turns the opposite of the sign value eg positive to negative.
subtract 0.35 from both sides leaving the equations as 3x-1.75=1.5x
now we move 3x on other side to combine with 1.5x and 3x becomes negative
-1.75=1.5x-3x
-1.75= -1.5x (divide -1.5 from both sides
-1.75/-1.5=1.5x/-1.5
1.166666666666667=x
or 7/6 if you left the fraction as it is and didn't simplify further.
Let me know if you don't understand or need more help .
The student's algebraic equation 1/4 (12x−5.6)=0.5(3x+0.7) simplifies to x = 1.17. This is found by distributing numbers, rearrangement of terms, and final division to solve for x.
Explanation:The question is an algebraic equation that needs to be simplified and solved. First, distribute the numbers in front of the parentheses to both the terms inside. This gives:
3x - 1.4 = 1.5x + 0.35Next, rearrange terms to bring all terms involving x to one side of the equation and constants to the other side. This gives:
3x - 1.5x = 0.35 + 1.4Simplify the equation to get:
1.5x = 1.75Finally, divide by 1.5 on both sides to solve for x:
x = 1.75 / 1.5So, x = 1.17 (rounded to two decimal places).
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16=4y-12 Solving various types of equations
Answer:7
Step-by-step explanation:
1.flip the equation 4y-12=16
2.add 12 to both sides 4y-12+12=16+12
3.divide both sides by 4
4y/4 =28/4
Y=7
63/8=7 r7 incorrect or correct
Answer:
CORRECTStep-by-step explanation:
[tex]\dfrac{63}{8}=\dfrac{56+7}{8}=\dfrac{56}{8}+\dfrac{7}{8}=7+\dfrac{7}{8}\to\dfrac{63}{8}=7+r7[/tex]
or use the long division (look at the picture).
2. y + 2x = 12 for D = {2,3,4}
What’s the domain and range
The domain of the function is the set of values for x, given as {2,3,4}. The range, which is the set of all output values for y that result when substituting each x value in the domain into the equation, is {8,6,4}.
Explanation:In this problem, we are given an equation y + 2x = 12 and a domain D = {2,3,4}, which means x takes the values 2, 3, and 4. The domain of a function is all the possible values that x can take. Therefore, in this case, the domain (D) is {2,3,4}.
The range, on the other hand, includes all the corresponding output values that y takes for each x in the domain. The output is determined by plugging each value of the domain (x) into the equation and solving for y:
For x=2, y=12-2(2)=8. For x=3, y=12-2(3)=6. For x=4, y=12-2(4)=4.
Hence, the range for this equation, given the domain {2,3,4}, is {8,6,4}.
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There are 12 pairs of cranial nerves connected in the brain. 10 of these pairs are related to the site, smell, taste, and sound. What percent of the pairs of cranial nerves are related to these senses?
Answer:
Nearly 83.33%
Step-by-step explanation:
There are 12 pairs of cranial nerves connected in the brain.
10 of these pairs are related to the site, smell, taste, and sound.
So,
12 - 100%
10 - x%
Write a proportion:
[tex]\dfrac{12}{10}=\dfrac{100}{x}[/tex]
Cross multiply
[tex]12\cdot x=10\cdot 100\\ \\12x=1,000[/tex]
Divide by 12:
[tex]x=\dfrac{1,000}{12}=\dfrac{250}{3}\approx 83.33\%[/tex]
What is 5.4e+6 in numbers?
Answer:
5,400,000
Step-by-step explanation:
E+ simply means "to the power of" So your question is 5.4*10^6 which would turn out as 5,400,000
Hope this helps!!!
Brady
13xyz + 9 + 2xyz + 3
3, 15, 27, 39, ...
Describe the rule for the sequence.
Answer: The sequence is to add 12 to each new term.
Step-by-step explanation: The Best way to solve these type of questions is to quests and check. For example, one may notice 3 can be multiplied by 5 to get 15. However, 15 times 5 is 75, not 27, so the rule of multiply by 5 is not correct. Then, you may guess that the rule is to add some number to get the next. One may then notice that it is increasing by 12 each time.
The sequence provided is an arithmetic sequence where each subsequent number is 12 more than the previous one.
Explanation:The sequence described in your question: 3, 15, 27, 39,... follows a rule of addition. Specifically, each subsequent number in the sequence is 12 more than the preceding number. For instance, 15 is 12 more than 3, 27 is 12 more than 15, and 39 is 12 more than 27, and so on. This sequence can be described as an arithmetic sequence with a common difference of 12.
The rule for the given sequence is that each term is obtained by adding 12 to the previous term.
3 + 12 = 15
15 + 12 = 27
27 + 12 = 39
SEO Keywords: sequence, rule, term, adding, previous
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which even number is a prime number
Answer:2
Step-by-step explanation:
As for the only even prime number, A number is said to be even when it is divided by 2, hence if a numberis divisible by 1, 2, itself and many more numbers it cannot be a prime number. Hence 2 is the only even Prime number as 2 has two factors, 1 and itself.
Answer:
2, 4, 6, 10, 14,
How many angle degrees does a minute hand travel in 1 minute? What angle does an hour hand travel in 1 min?
Answer:
Minute hand moves 6 degrees, hour hand moves .5 degrees.
Step-by-step explanation:
Doing the math we agree that in 1 minute the little hand (hours) will move .5 degrees and the big hand (minutes) will move 6 degrees.
The growth rate for the number of registered users on a popular new
website is 15% per week. Initially, 50 people are registered on the
website. How many people are registered after 4 weeks? Round
your answer to the nearest whole number.
Answer:
I would say 3000
Step-by-step explanation:
Final answer:
To calculate how many people are registered after 4 weeks, apply the formula for exponential growth using the initial 50 users and the 15% weekly growth rate, which gives us 87 registered users after rounding to the nearest whole number.
Explanation:
The process of calculating the number of registered users after 4 weeks with a weekly growth rate of 15% involves using the formula for exponential growth. You start with the initial number of users which is 50 and multiply this by 1 plus the growth rate raised to the power of the number of time periods, which in this case is 4 weeks.
The equation to calculate the number of users after 4 weeks will be 50 × [tex](1.15)^4[/tex].
Now we calculate: 50 × [tex](1.15)^4[/tex] = 50 × 1.749 = 87.45, which when rounded to the nearest whole number is 87 registered users.
48.6 divided by 27 show work
48.6 divided by 27 is 1.8.
what is decimal?Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Given:
48.6 ÷ 27
48.6 * 1/27
=486/10 * 1/27
=486/270
= 1.8
Hence, the answer is 1.8.
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Find the two pairs of integers whose sum is -6
Answer:
1, -7
Step-by-step explanation:
any whole number(s) that result in -6 will be your answer.
x+y= -6
20. A computer programmer works 40 hours per week. What is an equation that
relates the number of weeks w that the programmer works and the number of
hours h that the programmer spends working?
The equation to relate the number of weeks a computer programmer works to the number of hours worked is h = 40w, where h represents the total hours worked and w represents the number of weeks.
To relate the number of weeks w that a computer programmer works to the number of hours h he or she spends working, we can use a simple multiplication equation. Since we know the programmer works 40 hours per week, the relationship between hours worked and number of weeks can be represented as:
h = 40w
This equation states that the total hours worked (h) is equal to 40 times the number of weeks worked (w). For example, if the programmer works for 2 weeks, the total hours worked would be h = 40 * 2, which equals 80 hours.
Louis is buying groceries and stops at the deli counter to purchase sliced Swiss cheese. The deli uses a scale like the one shown to calculate the
weight and price of deli purchases.
Which weight could be a value seen on the scale?
A 1.1 pounds
B. 2.582 pounds
C 1.34 pounds
D. 2 pounds 5 ounces
Answer:
Option C is the answer.
Step-by-step explanation:
The deli uses a scale shown in the picture has a monitor showing three digits.
It is showing a number with two decimal places.
It is obvious that any measurement we do will be reflected on the monitor as
1 : 32, 5 : 00.
A). 1.1 pounds will not be the answer because it has only one decimal place.
B). 2.582 pounds is not correct because it has three decimal places.
C). 1.34 pounds is the correct option because it has two decimal places.
D). 2 pounds 5 ounces is incorrect because it has no decimal.
Complete
Complete each family of facts.
2 8 6
Answer:
all work is shown and pictured
The given family of facts can be completed as follows:
2 8 6 0 -4 -2 22 86.
by observing the given number pattern.
To complete the family of facts, observe the pattern and determine the missing numbers.
Starting with the first number, 2, observe that each subsequent number is obtained by multiplying the previous number by 4 and then subtracting 2.
So, to find the next number, multiply 6 by 4 and subtract 2, giving 22.
Similarly, to find the next number after 22, we multiply 22 by 4 and subtract 2, resulting in 86.
Therefore, the completed family of facts is 2 8 6 0 -4 -2 22 86.
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