For this case, we can discard options B and C because they do not have coefficients. Also, we discard option D because it has 4 roots given by -4.1, -1,2 each with multiplicity "1".
The multiplicity indicates the number of times a root is repeated.
Then, we have that the correct option is option A, we have a coefficient of "3", in addition to three roots (-4,1,2) with multiplicity "1", because they only repeat once.
Answer:
Option A
Answer: A
Step-by-step explanation:
Question 7 of 47
1 Point
What is the equation of a line with a slope of 1/2 that passes through the point,
(-2,5)?
O A. 1/2x+3
O B. Y=1/2x+5
O C. y=x+5
O D. y=1/2x+6
Answer:
Option D [tex]y=\frac{1}{2}x+6[/tex]
Step-by-step explanation:
we know that
The equation of a line into slope point form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex](x1,y1)=(-2,5)[/tex]
[tex]m=\frac{1}{2}[/tex]
substitute
[tex]y-5=\frac{1}{2}(x+2)[/tex]
Convert to slope intercept form
[tex]y=\frac{1}{2}x+1+5[/tex]
[tex]y=\frac{1}{2}x+6[/tex]
Evaluate |x| + (-2x 2) for x = 3.
The answer is:
[tex]f(3)=|x|+(-2x^{2})=-15[/tex]
Why?Evaluating a function means replacing the variable with the given value (3 for this case).
To evaluate the function, we need to remember that the absolute value guarantees a possitive value, for example:
[tex]|-3|=3\\|-4|=4[/tex]
So, we are given the function:
[tex]f(x)=|x|+(-2x^{2})[/tex]
Then, evaluating we have:
[tex]f(3)=|3|+(-2*(3)^{2})=3+(-2*9)=3-18=-15[/tex]
Hence, the answer is:
[tex]f(3)=|x|+(-2x^{2})=-15[/tex]
Have a nice day!
Find the value of x.
Answer:
x = 6
Step-by-step explanation:
Since the triangle is right use the sine ratio to solve for x, that is
sin30° = [tex]\frac{AB}{AC }[/tex] = [tex]\frac{x}{12}[/tex]
Multiply both sides by 12
12 × sin30° = x, hence
x = 6
If m∠CBD = 40°, find m∠CAD.
A) 30°
B) 40°
C) 50°
D) 60°
E) None of the above
The triangles cross the center of the circle CAD is the same as CBD.
The answer is B) 40 degrees.
Which expression is equivalent to ?
Answer:
Your answer would be A
Step-by-step explanation:
First you gotta reduce that fraction. Then square root the 9 (which is 3) and as well as radicalize x^5, which is x^2/x
Answer:
FIRST OPTION.
Step-by-step explanation:
Given the expression [tex]\sqrt{\frac{2x^5}{18}}[/tex], you can find an equivalent expression simplifying.
The first step is to descompose 18 into its prime factors:
[tex]18=2*3*3=2*3^2[/tex]
Remember the Product of powers property, which states that:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Then you can rewrite the expression in this form:
[tex]\sqrt{\frac{2x^4x}{2*3^2}[/tex]
Knowing that [tex]\sqrt[n]{a^n}=a[/tex], you get the following equivalent expression:
[tex]\sqrt{\frac{2x^4x}{2*3^2}[/tex]
[tex]\frac{x^2}{3}\sqrt{\frac{2x}{2}}[/tex]
[tex]\frac{x^2\sqrt{x}}{3}[/tex]
solve the system of equations by substitution: y = x - 2
x+y=12
Step-by-step explanation:
y = x - 2
x + y = 12
Substitute the first expression for y into the second equation.
x + (x - 2) = 12
2x - 2 = 12
2x = 14
x = 7
Now plug into either equation to find y.
y = 7 - 2
y = 5
So the solution is (7, 5).
Which is the graph of f(x) = log3x?
Logarithm functions are the inverses of exponential function.In the given graphs the graph number 2 is plotted with the above points. Hence the option 2 is correct.
Given-The function given in the question is,
[tex]f(x)=log_3x[/tex]
What is logarithm function?Logarithm functions are the inverses of exponential function.
To plot the graph of the given function we have to find the asymptotes;
vertical asymptote [tex]x=0[/tex]
Find the points at [tex]x=1[/tex]
[tex]f(0)=log_3(0)[/tex]
[tex]f(0)=0[/tex]
Find the points at [tex]x=3[/tex]
[tex]f(3)=log_3(3)[/tex]
[tex]f(0)=1[/tex]
Find the points at [tex]x=9[/tex]
[tex]f(9)=log_3(9)[/tex]
[tex]f(9)=2[/tex]
Hence, the points for the given function are (1,0) (3,1) and (9,2).
In the given graphs the graph number 2 is plotted with the above points. Hence the option 2 is correct.
Learn more about the Logarithm functions, here;
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A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?
A. p(x), because an increasing exponential function will always exceed an increasing quadratic function until their graphs intersect
B. t(x), because an increasing quadratic function will always exceed an increasing exponential function until their graphs intersect
C. p(x), because an increasing quadratic function will eventually exceed an increasing exponential function
D. t(x), because an increasing exponential function will eventually exceed an increasing quadratic function
Answer:
A. p(x) , because an increasing exponential function will always exceed an increasing quadratic function untill their graph intersect.Step-by-step explanation:
Given two functions are one is quadratic function and other is exponential function.
From the given graph of quadratic function and exponential function we can see that the graph of exponential function intersect y -axis at (0,1) and can never be zero and the graph of quadratic function intersect axis at origin (0,0).
From the given graph we can see that graph of exponential function increasing greater than an increasing quadratic function untill their graph intersect.
From the given graph we can see that the graph of an increasing quadratic function eventually exceed after intersection the graph of an increasing exponential function.
In option
A. p(x) , because an increasing exponential function will always exceed an increasing quadratic function untill their graphs intersect.Therefore, it is true we can see from the given graph.B. t(x) , because an increasing quadratic function will always exceed an increasing exponential function untill their graphs intersect. Therefore, it is false.We can see from given graph.
C. p(x) , because an increasing quadratic function will eventually exceed an increasing exponential function . It is false , because after intersection not eventually ,the graph of an increasing quadratic function will exceed an increasing exponential function .
D. t(x) , because an increasing exponential function will eventually exceed an increasing quadratic function . It is false , we can see from given graphs of two functions.
For the equation 3x + y = 5. If x = 1, what is the
value of y?
Everywhere you see x in the equation replace it with 1 like so...
3(1) + y = 5
3 + y = 5
Finish isolating y. To do this first subtract 3 to both sides (what you do on one side you must do to the other). Since 3 is being added, subtraction (the opposite of addition) will cancel 3 out (make it zero) from the left side and bring it over to the right side.
3 - 3 + y = 5 - 3
0 + y = 2
When x is 1 then y is 2
Check:
3(1) + 2 = 5
3 + 2 = 5
5 = 5
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
y=2
Step-by-step explanation:
3x + y =5
3(1) + y = 5
3 + y = 5
5-3= y which is 2
Your text suggests that you look for an agent who has been in the insurance business for how long?
A. Less than 1 year
B. At least 5 years
C. At least 2 years
D. At least 1 year
The Three Stooges (Larry, Moe, and Curly) and the four Marx Brothers (Chico, Harpo, Groucho, and Zeppo) are randomly assigned a place in line. What is the probability the first three in line will be Moe, Larry, and Curly in that order?
Answer:
[tex]\frac{1}{210}[/tex]
Step-by-step explanation:
We can use the probability that one person will be assigned to one place.
For the first place in line, what is the probability that Moe will stand there?
[tex]\frac{1}{7}[/tex] because there is 7 people and 1 of Moe.
Then, for the second place in line, what is the probability that Larry will stand there?
[tex]\frac{1}{6}[/tex] because there are 6 people now and one of Larry.
Finally, for the third place in line, what is the probability that Curly will stand there?
[tex]\frac{1}{5}[/tex] because there are 5 people now and one of Curly.
To find the probability that they'll stand in that order, we can multiply the probabilities together.
[tex]\frac{1}{7}*\frac{1}{6}*\frac{1}{5}=\frac{1}{210}[/tex]
Solve for the varaiables shown in the steps simplifying the expression below:
25 ⋅ 84
16
=
25 ⋅ (2a)4
24
=
25 ⋅ 2b
Answer:
a=3
b=12
c=13
Step-by-step explanation:
(see attached)
The value of 'a' is 3, 'b' is 12, and 'c' is 13 and this can be determined by using the arithmetic operations.
Given :
Expression - [tex]\dfrac{2^5\times 8^4}{16}=\dfrac{2^5\times (2^a)^4}{2^4}=\dfrac{2^5\times 2^b}{2^4}=2^c[/tex]
The value of a, b, and c can be determined by following the below calculations:
[tex]\dfrac{2^5\times 8^4}{16}=\dfrac{2^5\times (2^a)^4}{2^4}[/tex]
Further, simplify the above expression:
[tex]\dfrac{2^5\times (2^3)^4}{2^5}=\dfrac{2^5\times (2^a)^{4}}{2^4}[/tex]
the above equation holds good when the value of 'a' is 3.
[tex]\dfrac{2^5\times 8^4}{2^4}=\dfrac{2^5\times 2^b}{2^4}[/tex]
Further, simplify the above expression:
[tex]\dfrac{2^5\times 2^{12}}{2^5}=\dfrac{2^5\times 2^b}{2^4}[/tex]
the above equation holds good when the value of 'b' is 12.
[tex]\dfrac{2^5\times 2^{12}}{2^5}=2^c[/tex]
Further, simplify the above expression.
[tex]\dfrac{2^{17}}{2^4}=2^c[/tex]
[tex]2^{13}=2^c[/tex]
the above equation holds good when the value of 'c' is 13.
For more information, refer to the link given below:
https://brainly.com/question/20595275
what is 7.45 divided by .5
Answer: 14.9
I have to write this in order to have enough characters.
7.45 divided by 0.5 equals 14.9. This is calculated by converting the divisor 0.5 to a whole number and doing the same operation on the dividend, then performing the division.
Explanation:Dividing Decimals
To find what 7.45 divided by 0.5 is, one approach is to think of 0.5 as one-half, so you are essentially finding out how many halves there are in 7.45. Another way to approach this is to manipulate the numbers to make the division easier. Since 0.5 is equivalent to the fraction 1/2, dividing by 0.5 is the same as multiplying by 2 (which is the reciprocal of 0.5). Here are the steps to perform the division:
Therefore, 7.45 divided by 0.5 equals 14.9.
Learn more about Dividing Decimals here:https://brainly.com/question/29279046
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what is the difference between 330 and -282
Answer: the correct answer would be 48
Step-by-step explanation:
Answer:
Step-by-step explanation: the answer would be 48 i hope this helped and hope you are having a great day
What type of quadrilateral has one pair of opposite sides that are parallel, and one pair of opposite sides that are not parallel
What is the middle term in the simplified product for (x + 3)(x – 4)
Answer:
-x
Step-by-step explanation:
You can distribute:
(x + 3)(x – 4)
x (x + 3) – 4(x + 3)
x² + 3x – 4x – 12
x² – x – 12
Or you can use FOIL (first, outer, inner, last).
(x + 3)(x – 4)
x² – 4x + 3x – 12
x² – x – 12
The measures of two complementary angles are
12q−9
and
8q+14
Find the measures of the angles.
Answer:
4 1/4
Step-by-step explanation:
Complementary angles add up to 90 degrees.
Thus if 12q - 9 and 8q + 14 are complementary,
12q - 9 + 8q + 14 = 90.
Combining like terms, we get:
20q + 5 = 90
20q = 85
Thus, q = 85/20, or 17/4, or 4 1/4
Answer:
42 and 48
Step-by-step explanation:
∵ Two angles are complementary to each other if their sum is 90°,
Given,
12q - 9 and 8q + 14 are complementary angles,
By the above statement,
12q - 9 + 8q + 14 = 90
Combine like terms,
20q + 5 = 90
Subtract both sides by 5,
20q = 85
Divide both sides by 20,
q = 4.25,
Thus, the angles are,
12(4.25) - 9 and 8(4.25) + 14
⇒ 42 and 48
Write an equation in point-slope form for the line through the given point with the given slope
(9,-1) ; m=4/5
Answer:
see explanation
Step-by-step explanation:
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 = [tex]\frac{4}{5}[/tex] and (a, b) = (9, - 1), hence
y - (- 1) = [tex]\frac{4}{5}[/tex](x - 9), that is
y + 1 = [tex]\frac{4}{5}[/tex](x - 9) ← in point- slope form
What is the solution set for X-3>1?
Answer:
x > 4
Step-by-step explanation:
X-3>1
Add 3 to each side
X-3+3>1+3
x > 4
Hello :D
Answer:
[tex]\boxed{x>4}\checkmark[/tex]
Step-by-step explanation:
First, you add by 3 from both sides of an equation.
[tex]x-3+3>1+3[/tex]
Then, add the numbers from left to right.
[tex]1+3=4[/tex]
[tex]\boxed{x>4}[/tex], is the correct answer.
Hope this helps you!
Have a wonderful day! :D
-Charlie
all about easy points here
Answer:
90
Step-by-step explanation:
The formula for right triangular prisms is simple; 1/2 × a × b × c. So simply plug in your numbers (doesn't matter the order you plug in).
1/2 × 12 × 5 × 3 = 90
Answer:90
Step-by-step explanation:
What are the coordinates of P?
Answer: THIRD OPTION.
Step-by-step explanation:
Given the trapezoid in the figure, you know the coordinates of two points:
(0,c) and (a,b)
You can observe that the point (a,b) and the point P have the same x-coordinate, because both points are "a" units from the origin.
Then, the x-coordinate of P is:
[tex]x=a[/tex]
Now, in order to find the y-coordinate of the point P, you need to remember that when the line touches the x-axis, the value of "y" is equal to zero. Therefore, the y-coordinates of the point P is:
[tex]y=0[/tex]
Then the answer is:
[tex](a,0)[/tex]
Which option shows a graph of 3y+18>5x
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]3y+18 > 5x[/tex]
The solution of the inequality is the shaded area above the dashed line
The equation of the dashed line is [tex]3y+18=5x[/tex]
The slope of the dashed line is positive (m=5/3)
The x-intercept of the dashed line is (3.6,0) (value of x when y is zero)
The y-intercept of the dashed line is (0,-6) (value of y when x is zero)
therefore
using a graphing tool
The graph in the attached figure
Regina took out a 30-year loan for $110,000 at an APR of 9.6%, compounded
monthly, and she is making monthly payments of $932.98. What will her
balance be with 13 years left on the loan?
Answer: $82,975.68 APEX
the ratio of boys to girls is 4:5. if there are 125 girls, what is the total number of students.
Answer:
5n=1125
n=225 students in the school.
Answer:
The answer is 225.
Step-by-step explanation:
The explanation is in the top.
Una cadena de oro es de ley 0,850 y contiene 12 gramos de oro puro. ¿Cuánto pesa la cadena de oro?
In the circle graph, what is the measure of the central angle for corn?
Round your answer to the nearest whole number
multiply the percentage of the corn by 360 degrees
15% × 360° = 54°
Answer:
54°
Step-by-step explanation:
In the given pie chart which shows variation of vegetable.
Pie chart is a circular. Complete angle of circular is 360°.
100% of pie chart is equal to 360° of central angle.
Here, we need to find the central angle of corn.
In graph, corn is only 15%
100% of central angle = 360°
1% of central angle [tex]=\dfrac{360^\circ}{100}[/tex]
15% of central angle [tex]=\dfrac{360^\circ}{100}\times 15[/tex]
[tex]=54^\circ[/tex]
Hence, The central angle of corn is 54°
Using Cramer's Rule, what is the value of x in the system of linear equations below?
3x + 4y = 12
x-6y=-18
Answer:
0
Step-by-step explanation:
We find the determinant of a matrix by the method below. If we have a matrix:
[tex]\left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]
The determinant is [tex]ad-bc[/tex]
Now, using cramer's rule, we find x-value by the formula:
[tex]x=\frac{D_x}{D}[/tex]
Where D is the determinant of the original problem and [tex]D_x[/tex] is the determinant of the x-value matrix. How do we get those?
To get original matrix and thus D, we set up the matrix as the coefficients of x and y (s) of both the equations and to get matrix of x-value and thus [tex]D_x[/tex], we replace the x values of the matrix with the numbers in the right hand side of the 2 equations. We show this below:
To get D:
[tex]\left[\begin{array}{cc}3&4\\1&-6\end{array}\right] \\D=(3)(-6)-(1)(4)=-18-4=-22[/tex]
To get [tex]D_x[/tex]:
[tex]\left[\begin{array}{cc}12&4\\-18&-6\end{array}\right] \\D_x=(12)(-6)-(-18)(4)=0[/tex]
Putting into the formula, we get:
[tex]x=\frac{D_x}{D}=\frac{0}{-22}=0[/tex]
Thus, the value of x is 0
Me.stewart teaches three science classes her students are freshman and sophomores her student data are shown in relative frequency table
Answer:
the answer is that D is false
Step-by-step explanation:
the relative frequency chart shows that 0.35 of her total freshman and sophomores take biology (Bottom left corner of the chart).
Answer: D
Step-by-step explanation: Apex said so
63. Mrs. Beusse needs to buy more pencils for our classroom because they are always mysteriously
disappearing. Based on the chart from the office supply catalog, how much will it cost her to buy 100
pencils personalized with her name on it?
Number Cost
of
Pencils
1-20
21 - 40
41-60
61 - 80
81 - 100
$5.35
$4.70
$4.05
Answer: I believe the last numbers are $3.40 and $2.75
Step-by-step explanation:
5.35 minus 4.70 equals 0.65 and that is continually going so you should subtract each number by 0.65 to get the next. If that makes sense
Final answer:
The cost for Mrs. Beusse to buy 100 personalized pencils is $405.00.
Explanation:
According to the chart, the cost of pencils depends on the number of pencils being purchased. For 1-20 pencils, the cost is $5.35 each. For 21-40 pencils, the cost is $4.70 each. For 41-60 pencils, the cost is $4.05 each. Since Mrs. Beusse needs to buy 100 personalized pencils, we need to determine which price range this falls into. 100 pencils falls within the range of 81-100, so the cost per pencil will be $4.05.
Therefore, the total cost for 100 personalized pencils will be $4.05 x 100 = $405.00.
solve for x:4x-2>6x+8
Answer:
The second option
Step-by-step explanation:
4x - 2 > 6x + 8
add 2 to both sides
4x - 2 + 2 > 6x + 8 + 2
2 cancel -2 and it remains
4x > 6x + 10
Now, subtract 6x from both sides
4x -6x > 6x -6x + 10
it remains
-2x > 10
divide via by -2
x > 10/-2
x < -5
When you multiply or divide by a negative, the inequality sign changes
Please mark as brainlest and have a good night.
Answer:
x < −5
Step-by-step explanation: