Answer:
x³ - 5x² + 8x - 6
Step-by-step explanation:
(x² - 2x + 2)(x - 3) ← product is required
Each term in the second factor is multiplied by each term in the first factor , that is
x²(x - 3) - 2x(x - 3) + 2(x - 3) ← distribute all 3 parenthesis
= x³ - 3x² - 2x² + 6x + 2x - 6 ← collect like terms
= x³ - 5x² + 8x - 6 → (b)
Answer:
g( x)^2=x^2-6x+9=f(x)-4x+7, f(x)=g(x)^2-4g(x)-5=(g(x)-2)^2-9=(g(x)+7)×(g(x)-11)
f(x)=x^2-2x+2=g(×)^2+4x-7
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,
There are 20 tiles in a bag. Of these, 9 are purple, 5 are black and the rest are white.
Event A = drawing a white tile on the first draw
Event B = drawing a black tile on the second draw
If two tiles are drawn from the bag one after the other and not replaced, what is P(B|A) expressed in simplest form?
Probability of drawing two tiles from the bag one after the other and not replaced that is P(B/A) is equals to 5/19.
What is probability?" Probability is defined as the ratio of number of favorable outcomes to the total number of outcomes."
here, we have,
Formula used
Conditional probability ' P(B/A)' = P(A∩B) / P(A)
According to the question,
Total number of tiles = 20
Number of while tiles represented by 'A' = 6
Number of black tiles represented by 'B' = 5
Number of purple tiles= 9
Total number of outcomes = 20 × 19
= 380
Favorable outcome for A = 6 × 19
= 114
Favorable outcomes for A∩B = 6 × 5
= 30
Probability of A
'P(A)' = 114/380 = 57/190
Probability of A∩B
'P(A∩B)' = 30/380 = 15/190
Substitute the value in the conditional probability we get,
Probability for P(B/A) = 15/190 / 57/190
= 15/57
= 5/19
Hence, Option(B) is the correct answer.
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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.
33-5y=8__
What is y?
Answer:
y=5
Step-by-step explanation:
33-5y=8
1) Subtract 33 from both sides
-5y=-25
2) Divide both sides by -5:
y=5
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]
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.
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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How many 10,000 in a million?
Answer:
Step-by-step explanation:
100, ten thousands in 1 million.
1,000,000 divided by 10,000
So we know that we have to find how much 10,000 are in a million
To find this answer, divide 1,000,000= 1 million with 10,000 to find how much 10,000 are in a million.
1,000,000 divide 10,000= 100.
So 100 is how much 10,000 are in a million.
Final result: 100.
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.
need help asap! pls do it asap
Answer:
the correct answer is 30
Step-by-step explanation:
The graph of a Function F is shown below. find F (0).
To find F(0) from a graph, you must locate the point where x equals 0 and read the corresponding y-coordinate for F(x). If the graph shows a flat, zero-slope line, then the value of F(x) would be the same for all x, including F(0).
Explanation:From the given question, we are asked to find what the function F equals when x=0. This is indicated on the graph by locating the point where x=0 and reading the corresponding y coordinate. If the graph of the function is a straight line with zero slope, this indicates no relationship between x and y. To illustrate, let's assume the graph for F(x) is a line that is flat, that is, it shows zero rise over the run, where the slope is zero. This means for all x values, F(x) will be the same constant. Thus, in this case, F(0) would be equal to this same constant.
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Based on the graph of this function f(x), the output value for f(0) is given by;
f(0) = -2.
What is y-intercept?In Mathematics and Geometry, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear equation or function, generally occur at the point where the value of "x" is equal to zero (x = 0).
By critically observing the graph shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept and x-intercept:
y-intercept = (0, -2)
x-intercept = (-4, 0).
Therefore, y is -2 when the value of x is 0;
f(0) = -2.
In conclusion, the graph of this linear function does not represent a proportional relationship.
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Missing information:
The question is incomplete and the missing graph is shown in the attached picture.
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.
Is this a function why or why not?
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
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°
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.
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
Use the graph to determine the following.
Answer:
Step-by-step explanation:
(a) A graph's domain is the set of X values that can be provided to the graph. Based on the picture, we can provide any values to the graph, so the domain is (-∞, ∞)
(b) A graph's range is the set of Y values that can be returned from the graph. Based on the picture, the graph can not return any value lower than 1, so the range is [1, ∞)
(c) The X-intercept is where the graph crosses the X-axis (or the horizontal line where Y = 0). The graph doesn't cross the X-axis, so there are no X-intercepts.
(d) The Y-intercept is where the graph crosses the Y-axis (or the vertical line where X = 0). The graph crosses the Y-axis at Y = 5, so a Y-intercept is (0, 5).
(e) f(1) is the Y value where X = 1, which is 4. f(5) is the Y value where X = 5, which is 2.
The graph represents a quadratic function. The vertex can be found using x = -b/2a. To find the x-intercepts or zeros, set the function equal to zero. The y-intercept can be found by substituting x = 0.
The graph represents a quadratic function because the shape of the graph is a parabola. A quadratic function is a polynomial function of degree 2. In this case, the vertex of the parabola can be found by using the equation x = -b/2a, where a and b are the coefficients of the quadratic function. The vertex is an important point on the graph as it represents the maximum or minimum value of the function.
To find the x-intercepts or zeros of the function, set the function equal to zero and solve for x. The x-intercepts are the points where the graph crosses the x-axis. To find the y-intercept, substitute x = 0 into the function and solve for y. The y-intercept is the point where the graph crosses the y-axis.
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Jeff’s dog weighs 76 pounds. What is the dog’s weight rounded to the nearest ten pounds?
Answer:
80
Explanation:
The dogs weight rounded to the nearest ten pounds would be 80 because 76 rounded to the nearest tenth is 80. The reson why is because the 6 in the ones place is greater than 5 so you round up. Because 76 was the orignial number, and you're trying to round to the neares ten pounds, you round the 7 up because that is the number in the tenths place.
Answer:
80 pounds.
Step-by-step explanation:
The dog weighs 76 pounds.
The units value is 6 . Since we round up the tens place when the unit is equal or greater than 5 the answer is 80.
List 2 common multiples of 2 , 5
Answer:
2: 2, 4, 6, 8, 10
5: 5, 10
lcm: 10
Answer:10 and 20
Step-by-step explanation:
2 times 5 is 10 and 2 times 10 is 20 and 5 times 4 is 20
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.
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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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
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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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).
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 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
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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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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