ANSWER
C. 28
EXPLANATION
The given expression is
[tex] {x}^{2} - 7x + 10[/tex]
We want to evaluate this function at x=-2.
We just have to substitute x=-2 into the given expression.
In other words, we have to replace x with -2 wherever we see x in the expression
[tex]{( - 2)}^{2} - 7( - 2) + 10[/tex]
We evaluate the exponent to get
[tex]4 - 7( - 2) + 10[/tex]
We multiply next to get:
[tex]4 + 14+ 10[/tex]
We now add to obtain:
[tex]28[/tex]
The correct answer is C
if city A is 32% less than city b what is city A population
Answer:
there is definitely missing context in this question but if we are going off of per say 100% then A is 68%
Step-by-step explanation:
What is the surface area of the right cone below? Help ASAP please
Answer:
176
Step-by-step explanation:
Which of the following is a 3rd degree polynomial with roots i and 2?
Answer:
D
Step-by-step explanation:
Given the roots of a polynomial, say x = a, x = b, x = c, then
(x - a), (x - b) and (x - c) are the factors and the polynomial is the product of the factors.
Note complex roots occur in conjugate pairs, thus
x = i is a root ⇒ x = - i is also a root
given roots x = 2, x = i, x = - i are roots, then
(x - 2), (x - i) and (x + i) are the factors and
f(x) = (x - 2)(x - i)(x + i)
= (x - 2)(x² - i²)
= (x - 2)(x² + 1)
= x³ + x - 2x² - 2
= x³ - 2x² + x - 2 → D
The 3rd degree polynomial with roots i and 2 is P(x) = x^3 - 2x^2 + x - 2, which is found by multiplying the factors (x - i), (x + i), and (x - 2).
Explanation:A 3rd degree polynomial with roots i and 2 must also have the complex conjugate of i, which is -i, as a root because the coefficients of the polynomial are real numbers. Thus, the polynomial will have three roots: i, -i, and 2. To find the polynomial, we can use the fact that a polynomial equation is the product of its factors. Therefore, we start by writing down the factors that correspond to each root:
(x - i)(x + i)(x - 2)Multiplying these factors together will give us the desired 3rd degree polynomial:
Multiply the factors (x - i) and (x + i), which are conjugates, to get x^2 + 1 because (i)(-i) = -i^2 = 1.Now, multiply the quadratic polynomial x^2 + 1 by (x - 2) to get the 3rd degree polynomial.The full expansion gives us the polynomial P(x) = x^3 - 2x^2 + x - 2.
Learn more about 3rd Degree Polynomial here:https://brainly.com/question/30765847
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Evaluate each expression for g = -7 and h = 3 and match it to its value.
1. g + h -10
2. g - h -4
3. h - g -21
4. gh 2
5. g + h2 10
6. g2 - h 46
Answer: -14, -14 ,-11, -42,
Step-by-step explanation:
1. g + h - 10 2. g - h - 4 3. h - g - 21
-7 + 3 -10. -7 -3 -4. 3 + 7 -21
-4 - 10. -10 - 4 10 - 21
-14. -14. - 11
4. gh 2
-7(3) 2
-21 (2)
-42
Solve for x
6(x-1) =9(x+2)
Blake brought 2 magazines for $4.95 each. If the sales tax was 6.75%, what was the total amount that he paid for the magazines?
Answer:
$10.57
Step-by-step explanation:
Blake brought 2 magazines for = $4.95 each
Cost of 2 magazines = 4.95 × 2 = $9.90
Sales tax rate = 6.75%
Total amount that he paid for the magazines = 9.90 + (6.75% × 9.90)
= 9.90 + (0.0675 × 9.90)
= 9.90 + 0.66825
= $10.56825 ≈ $10.57
He paid $10.57 for the magazines.
Which of the following could represent consecutive even Integers?
x + 1, x + 2
Ox+1,x+3
2x, 2x + 1
Answer:
x+1,x+3
Step-by-step explanation:
Lets look at consecutive even integers
2,4
How do we get from 2 to 4
We add 2
Our first even integer is x
We add 2
x+2
x, x+2
Buts lets say x is an odd number, so add 1 to it
x+1, x+1 +2
x+1, x+3
Mary has rehearsed her ballot solo for 5 and 1/2 hours a week from now she wants to have rehearse at least a total of 19 and 1/2 hours if she rehearses for the same amount of time each day for the next 7 days at least how many hours must you rehearse per day
This answer Has been deleted
Please help...........
Answer:
THE ANSWER IS D
Step-by-step explanation:
if you have multiple choice answers like these you can plug in all the numbers for each equation and the only one that works is d
becuase it ends up equaling 2=2
What is the value of x?
Find an equation of the line perpendicular to the graph of 28x-7y=9 that passes through the point at (4,1)
Answer:
Step-by-step explanation:
For this case we have by definition, if two lines are perpendicular then the product of their slopes is -1.
[tex]m_ {1} * m_ {2} = - 1[/tex]
We have the following equation:
[tex]28x-7y = 9[/tex]
Rewriting we have:
[tex]28x-9 = 7y\\y = \frac {28x-9} {7}\\y = 4x- \frac {9} {7}[/tex]
The slope of this line is 4.
We found [tex]m_ {2}:[/tex]
[tex]m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {4} = - \frac {1} {4}[/tex]
The new line is of the form:
[tex]y = - \frac {1} {4} x + b[/tex]
We substitute the given point to find the cut point "b":
[tex]1 = - \frac {1} {4} (4) + b\\1 = -1 + b\\b = 2[/tex]
Finally, the equation is:
[tex]y = - \frac {1} {4} x + 2[/tex]
Answer:
[tex]y = - \frac {1} {4} x + 2[/tex]
classify the triangle by its sides
a(3,-3), b(1,4), c(-1,-1)
Answer:
The triangle is scalene Δ
Step-by-step explanation:
* Lets revise the types of the triangle according to its sides
- Equilateral triangle: its three sides are equal in lengths
- Isosceles triangle: two sides are equal in lengths
- Scalene triangle: its three sides have different lengths
- The length of a segment basses through two points (x1 , y1) and
(x2 , y2) is √[(x2 - x1)² + (y2 - y1)²]
* Lets solve the problem
∵ abc is a triangle with vertices a (3 , -3) , b (1 , 4) , c (-1 , -1)
- To classify the triangle by its side find the lengths of the 3 sides
∵ a = (3 , -3) and b = (1 , 4)
∴ ab = √[(1 - 3)² + (4 - -3)²] = √[(-2)² + (7)²] = √[4 + 49] = √53
∵ b = (1 , 4) and c = (-1 , -1)
∴ bc = √[(-1 - 1)² + (-1 - 4)²] = √[(-2)² + (-5)²] = √[4 + 25] = √29
∵ c = (-1 , -1) , a = (3 , -3)
∴ ca = √[(3 - -1)² + (-3 - -1)²] = √[(4)² + (-2)²] = √[16 + 4] = √20
∵ The lengths of the three sides of the triangle are √53 , √29 , √20
∴ The lengths of the three sides are different
∴ The triangle is scalene Δ
If the endpoints of the diameter of a circle are (8, 6) and (2,0), what is the standard form equation of the circle?
A)
(x + 5)2 + (y + 3)2 = 18
(x + 5)2 + (y + 3)2 = 3.72
(x - 5)2 + (y - 3)2 = 18
D)
(x - 5)2 + (y - 3)2 = 32
Answer:
It is C.
Step-by-step explanation:
The centre of the circle is at the midpoint of The diameter = (8+2)/2, (6+0)/2 = (5,3) so the left side of the equation is (x-5)^2+(Y-3)^2. Now we need to work out the radius:
The diameter = square root(8-2)^2+6^2) = square root of 72 = 6sqrt2.
So the radius = 3sqrt2 and r^2=18.
Translate each sentence into an equation. Then find each number.
The difference between four times a number and six is –46.
Question 1 options:
Answer:
Equation: 4x - 6 = -46
Solution: x=10.
Step-by-step explanation:
The difference between four times a number and six translated into a equation is: 4x - 6 = -46.
Solving for 'x'we have:
4x = -46 + 6 ⇒ 4x = -40 ⇒ x = 10.
Then, the solution is: x=10
Answer:
4x - 6 = -46
x = -10
Step-by-step explanation:
We are given the following sentence equation into a mathematical equation and then solve it to find each number:
The difference between four times a number and six is –46.
Translating it in chunks to make it easier:
1) The difference between ---> means there is a subtraction sign
2) four times a number ---> assuming x to be the number ---> 4x
3) and six ---> 6
4) is -46 ---> = -46
Combining these to get:
[tex]4x - 6 = -46[/tex]
[tex]4x = -46 + 6[/tex]
[tex]4x = -40[/tex]
[tex]x=\frac{-40}{4}[/tex]
x = -10
solve and answer in simplified form
(-8.3x+4) - (3.2x-5)
Answer:
(-8.3x + 4) - (3.2x - 5) = -11.5x + 9Step-by-step explanation:
(-8.3x + 4) - (3.2x - 5)
= -8.3x + 4 - 3.2x - (-5)
= -8.3x + 4 - 3.2x + 5 combine like terms
= (-8.3x - 3.2x) + (4 + 5)
= -11.5x + 9
plz help its urgent
Lets use 500 minutes and solve for each company:
Plan A = 15 +0.05(500) = 15 + 25 = 40
Plan B = 5 + 0.15(500) = 5 + 75 = 80
Plan C = 10 + 0.10(500) = 10 + 50 = 60
Plan D = 20 + 0.20(500) = 20 + 100 =120
Plan A is the most cost effective.
Answer:
Plan a
Step-by-step explanation:
plan a costs $15, plus the amount that it would cost for 500 minutes, which is $25. (0.05*500=$25). $15+$25=$40.
If she chose plan b, it would cost $80, because $5+ (0.15*500)=$80.
Plan c would cost $60, by plugging in the numbers to the same function above.
Plan d would cost $120
What does mean, median, mode, and range means in mathematics?
Mean is dividing the sum of all the numbers by how many numbers there are
Median is the middle of the set of number ordered from least to greatest
Mode is the number that appears the most often in the data set
Range is subtracting the biggest number in the data set by the smallest number
Hope this helped!
~Just a girl in love with Shawn Mendes
Final answer:
The mean is the average of a data set, the median is the middle value, the mode is the most frequent value, and the range is the difference between the highest and lowest values. The median is preferred in skewed distributions.
Explanation:
Mean, Median, Mode, and Range in Mathematics
The mean is the average of a data set, calculated by adding up all the values and dividing the total by the number of values. The median is the middle value when the data set is ordered from least to greatest, or the average of two middle values if there is an even number of values in the data set. The mode is the value that appears most frequently in a data set. The range is the difference between the highest and lowest values in the data set. Each of these measures provides different information about the distribution of the data and can be affected by outliers or the overall shape of the data distribution.
For example, consider the data set: 4, 5, 6, 6, 7, 8, 9. The mean is (4+5+6+6+7+8+9)/7 = 6.43, the median is 6, and the mode is 6 (since it appears the most). The range is 9-4 = 5.
In cases where data sets include outliers or are skewed, the mean may not be representative of the data's center. For instance, if a data set is 4, 5, 6, 6, 7, 8, 100, the mean is significantly influenced by the outlier (100), while the median remains a better indicator of the center. In such distributions, the median is often preferred over the mean.
Consider the triangle.
Which statement is true about the lengths of the sides?
Each side has a different length.
Two sides have the same length, which is less than the
length of the third side.
The three sides have the same length
The sum of the lengths of two sides is equal to the
length of the third side.
For this case we observe that the three angles of the triangle are equal. Also, we have by definition:
A triangle is equilateral, when the three sides have the same length (in addition, the three internal angles measure 60 degrees or[tex]\frac {\pi} {3}[/tex].
Answer:
The three sides have the same length
ANSWER
The three sides have the same length
EXPLANATION
The given triangle has all angles equal to 60°
A triangle that has all angles equal is called an equilateral triangle.
Another property about an equilateral triangle is that, it has all sides equal.
Therefore,the three sides have the same length.
The third option is correct.
If the area under the curve of f(x) = x2 + 2 from x = 1 to x = 6 is estimated using five approximating rectangles and right endpoints, will the estimate be an underestimate or overestimate?
Underestimate
Overestimate
The area will be exact
The area cannot be estimated with just five rectangles
Answer:
Overestimate
Step-by-step explanation:
We draw five rectangles from x = 1 to x = 6, so each rectangle has a width of 1:
(6 - 1) / 5 = 1
We're using right endpoints to determine the height of each rectangle. The first rectangle is from x=1 to x=2, so the height of the rectangle is f(2) = 6. So on and so forth for the other rectangles.
The result is this:
desmos.com/calculator/vrl67vpigt
As we can see, these rectangles have areas outside of the curve, so their total area will be greater than the area under the curve. So this will be an overestimate.
Which of the following is the most important piece of information to consider when comparing prices?
A)
The average price of the two items you are comparing
B)
The wholesale price of the item you want to buy.
C)
The amount of income you have
D)
The price per unit of the items you are comparing.
Answer: A) The average price of the two items you are comparing.
Step-by-step explanation:
Because...
When a person goes to a store they look at a item and then compare prices. So for every person price is the important thing that you are comparing. It also depends on your income as well. So choice A and C is almost the same.
Therefor, the correct answer would be A.
* Hopefully this helps:) Mark me the brainliest:)!!!
What is the product of -5x2y4 and -8x6y4?
Answer:
40 x⁸y⁸
Step-by-step explanation:
When multiplying numbers that have powers to the same base, we simply add the indices and multiply the coefficients of the common bases.
To solve -5x²y⁴ multiplied by -8x⁶y⁴, we add the indices that have a common base.
-5x²y⁴× -8x⁶y⁴= (-5)(-8)x⁽²⁺⁶⁾y⁽⁴⁺⁴⁾
=40x⁸y⁸
A negative number multiplied by a negative= positive number
Answer:
product of 5x²y⁴ and -8x⁶y⁴ = 40x⁸y⁸
Step-by-step explanation:
Points to remember
Identities
Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾
Xᵃ/Xᵇ = X⁽ᵃ ⁻ ᵇ⁾
It is given that, -5x²y⁴ and -8x⁶y⁴
To find the product of -5x²y⁴ and -8x⁶y⁴
( -5x²y⁴ ) * ( -8x⁶y⁴) = (-5 * -8) *x² *x⁶ * y⁴ * y⁴
= 40 * x⁽² ⁺ ⁶⁾ * y⁽⁴ ⁺ ⁴⁾
= 40 * x⁸ * y⁸
= 40x⁸y⁸
A plane can fly 260 miles downwind in the same amount of time as it can travel 190 miles upwind. Find the velocity of the wind if the plane can fly 225 mph in still air.
recall your d = rt, distance = rate * time.
w = rate of the wind
225 = rate of the plane
so the plane flies 260 miles in say "t" hours, with the wind, now, the plane is not really going 225 mph fast, is really going "225 + w" fast because the wind is adding speed to it, likewise, when going against the wind, is not going 225 mph fast is going "225 - w" because the wind is eroding speed from it, and that was also covered in "t" hours
[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \stackrel{downwind}{\textit{with the wind}}&260&225+w&t\\ \stackrel{\textit{upwind}}{\textit{against the wind}}&190&225-w&t \end{array}~\hfill \begin{cases} 260=(225+w)t\\\\ \cfrac{260}{225+w}=\boxed{t}\\\\ \cline{1-1}\\ 190=(225-w)t \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{\textit{substituting \underline{t} in the 2nd equation}}{190=(225-w)\left( \boxed{\cfrac{260}{225+w}} \right)}\implies \cfrac{190}{225-w}=\cfrac{260}{225+w} \\\\\\ 42750+190w=58500-260w\implies 190w=15750-260w \\\\\\ 450w=15750\implies w=\cfrac{15750}{450}\implies \blacktriangleright w=35 \blacktriangleleft[/tex]
What is the approximate distance between the points (-3,-4)(-8,1) on a coordinate grid?
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2} \\\\\\ d=\sqrt{25+25}\implies d=\sqrt{50}\implies d\approx 7.071[/tex]
A painter rented a wallpaper steamer at 9 a.m. and returned it at 4 p.m. He paid a total of $28.84. What was the rental cost per hour?
Hello There!
We know that the painter had the steamer from 9 a.m in the morning to 4 p.m in the afternoon
he had it for a total of 7 hours. 28.84 divided by 7 equals 4.12 an hour
Divide $28.84 by 7 hours.
28.84/7 = 4.12
The rental cost per hour was $4.12.
HELP PLEASE!! VERY APPRECIATED
•In the triangle below what is the tangent of 30°?
Answer: D
Step-by-step explanation:
Tangent is...
other leg/ adjacent leg
Answer:
The correct answer is D. 1/√3
Step-by-step explanation:
The ratio of the opposite side and the adjacent side to the given angle is the tangent.
According to the image below formula is:
tangent(α)=a/b
a= oppositive side: the side in front of the given angle.
b= adjacent side: the side next to the given angle.
α= the given angle.
According to the image, the value of “a” is 1 and there is √3 for “b”.
So, the correct answer is D. 1/√3
What is the probability of the drawing a blue card, replacing it, and then drawing a blue card?
3/5
6/25
9/25
The probability of drawing a blue card, replacing it, and then drawing a blue card is Option 3. 9/25
Number of blue cards = 3
Number of red cards =2
Total number of cards as given in the diagram = 2+ 3 = 5
How do you calculate probability?The probability of an event can be calculated by the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The probability of drawing a blue card is 3/5 because there are 3 blue cards and 5 cards in total. Multiply 3/5 by 3/5 to get the probability of drawing a blue card twice in a row. Multiply the numerators to get 9 and multiply the denominators to get 25.
This gives you a final answer of 9/25.
What is probability in math?Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.
What is the simple formula of probability?P(A) = n(A)/n(S)
P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.
To learn more about the probability, refer
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4x – 3y = 17
y-intercept:
2-intercept:
Answer:
y-intercept = -17/3x-intercept = 17/4Step-by-step explanation:
4x - 3y = 17
y-intercept is for x = 0.
x-intercept is for y = 0.
y-intercept:
put x = 0 to the equation
4(0) - 3y = 17
0 - 3y = 17
-3y = 17 divide both sides by (-3)
y = - 17/3
x-intercept:
put y = 0 to the equation
4x - 3(0) = 17
4x - 0 = 17
4x = 17 divide both sides by 4
x = 17/4
Choose the correct classification of 3x4 − 9x3 − 3x2 + 6.
5th degree polynomial
4th degree polynomial
9th degree polynomial
24th degree polynomial
Answer:
The correct option is 2.
Step-by-step explanation:
The given polynomial is
[tex]3x^4-9x^3-3x^2+6[/tex]
In a polynomial, the highest degrees of its individual terms with non-zero coefficients is called degree of a polynomial.
The degrees of [tex]3x^4,-9x^3, -3x^2,6[/tex] are 4, 3, 2, 0 respectively.
In the given polynomial, the highest degree of its monomial is 4.
We can say that the given polynomial is 4th degree polynomial.
Therefore the correct option is 2.
Factor.
x2−5x+6
Enter your answer in the boxes.
x2−5x+6= ( ) ( )
Answer:
Step-by-step explanation:
(x-3)(x-2)
Answer:
(x-3) (x-2)
Did the test on k-12
How does the value of b affect the graph of y=my+b?
Answer:
It translates the graph up or down the y-axis by b units.
Step-by-step explanation:
got it right on edge