Answer:
9x - 9
Step-by-step explanation:
4(2x + x - 3) - 3x + 3
Simplify the expression, combine like terms in the parenthesis,
4(3x - 3) - 3x + 3
Distribute, multiply every term inside the parenthesis by the number outside of it;
(4)(3x) + (4)(-3) - 3x + 3
Simplify,
12x - 12 - 3x + 3
Combine like terms,
12x - 12 - 3x + 3
9x - 12 + 3
9x - 9
Kkfkfjfkfkfkfkfkfkfkrkri
Answer:
M= -1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
Rise over run.
-1/1 = -1
After 3 points have been added to every score in a sample, the mean is found to be M 5 83 and the standard deviation is s 5 8. What were the values for the mean and standard deviation for the original sample
Answer:
Hence the value for the mean is 80 and the standard deviation for the original sample is 8.
Step-by-step explanation:
Mean = 83-3 = 80.
Here the standard deviation didn't change = 8.
Solve for F (15 Points)
Answer:
f = - [tex]\frac{15}{4}[/tex]
Step-by-step explanation:
Given
f + [tex]\frac{1}{4}[/tex] = - [tex]\frac{7}{2}[/tex]
Multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions
4f + 1 = - 14 ( subtract 1 from both sides )
4f = - 15 ( divide both sides by 4 )
f = - [tex]\frac{15}{4}[/tex]
Is the graph increasing, decreasing, or constant
1. What is the difference between the arithmetic mean and geometric mean between 3 and 27 is
a) 15 b) 6 c) 12 d) o
Answer:
So I did my work so many times and I got 9 but I don't know Imaooo sry :)
Step-by-step explanation:
What is 4 and 2/3 written as a radical?
Answer:
14/3
Step-by-step explanation:
4 and 2/3 = 4 2/3 = 4 + 2/3 = 4/1 + 2/3 = 12/3 + 2/3 = 14/3
Pls answer it with explanation
Answer:
x=24 y=131
Step-by-step explanation:
it is right answer
Answer:
x = 24, y = 131
Step-by-step explanation:
The sum of the 3 angles in Δ ABC = 180°
Sum the 3 angles and equate to 180
72 + 35 + 25 + 2x = 180 , that is
2x + 132 = 180 ( subtract 132 from both sides )
2x = 48 ( divide both sides by 2 )
x = 48
--------------------------------------------
Similarly in the lower triangle
25 + x + y = 180
25 + 24 + y = 180
49 + y = 180 ( subtract 49 from both sides )
y = 131
solve for y
[tex]2y - 3 = \sqrt{ {3y}^{2} - 10y + 12} [/tex]
absurd answers will be reported!!
Answer:
y = 3
Step-by-step explanation:
2y - 3 = [tex]\sqrt{3y^2-10y+12}[/tex]
square both sides to remove sqrt bracket
(2y - 3)^2 = ( [tex]\sqrt{3y^2-10y+12}[/tex] )^2
simplify both sides
(2y - 3)(2y - 3) = [tex]3y^2[/tex] - 10y + 12
[tex]4y^2[/tex] - 12y + 9 = [tex]3y^2[/tex] - 10y + 12
bring all value to left side
[tex]y^2[/tex] - 2y - 3 = 0
factor
(y - 3)(y + 1)
solve for y
y = 3, y = -1
When plugged back into the equation, only y = 3 is true
Answer:
y = 3
Step-by-step explanation :
[tex]2y - 3 = \sqrt{ 3y² - 10y + 12} [/tex]
Swap the sides both of the equation.
[tex]\sqrt{ 3y² - 10y + 12} = 2y - 3 [/tex]
To remove the brackets of equations square both side and simplify .
3y² - 10y + 12 = 4y² - 12y + 9
Move the expression to left-hand side and change its sign.
3y² - 10y + 12 - 4y² + 12y - 9 = 0
collect like terms
3y² - 4y² - 10y + 12y + 12 - 9 = 0
-y² + 2y + 3 = 0
Change the sign of expression. because it helps to solve.
y² - 2y - 3 = 0
Splits the term -2y
y² + y -3y - 3 = 0
Factor out y from the first pair and -3 from second pair of expression.
y ( y + 1 ) - 3 ( y + 1) = 0
Factor out y + 1 from the expression.
( y + 1 ) ( y - 3 ). = 0
When product and factors equals 0. at least one factor is 0.
y + 1 =0
y - 3 = 0
Solve for y
y = -1 and y = 3
If we plug the 3 as y in the expression we find that y = 3 is the true solution of this expression.
This equation has one solution which is y = 3.
I don’t know the answer so ignore the checked box
Answer:
CDHG
Step-by-step explanation:
Because you can go in that order and be able to get to the next letter. In the other option you cannot
How do I find question number 43
Answer:
[tex]8)79 + .3y |1| 5131x - 2884 \frac{ {8 - { { - 44 - {516}^{ |?| } }^{?} }^{?} }^{2} }{?} 5 - {1 {y {1 {40091 - \times \frac{?}{?} }^{?} }^{2} }^{2} }^{2} 444 = .3 = 547 - 274[/tex]
Find the roots of the equation x^2 + 16 = 0.
Answer:
+4 and -4
Step-by-step explanation:
x² + 16=0
x=-√16
x=-4 or +4
Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.
Answer:
The two speeds are equal
Step-by-step explanation:
The speed is the distance divided by the time
100 meters / 9.75 seconds = 10.25641026 meters per second
Rounded to the nearest hundredth 10.26 meters per second
200 meters / 19.5 seconds = 10.25641026 meters per second
Rounded to the nearest hundredth 10.26 meters per second
The two speeds are equal
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
⠀Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds.⠀⠀⠀he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
Compare the speeds⠀⠀⠀⠀[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
⠀
we know that,
[tex]\boxed{\sf{speed=\dfrac{distance}{time}} }[/tex]
In the 100-meter race in the 2012 Olympics he takes 9.75 sec
speed=100/9.75speed =10.2564...speed=10.26BUTTT,
he ran the 200-meter race in 19.5 seconds.
speed=200/19.5speed=10.2564..speed=10.26According to the question,
we have to compare the speed
100-meter race in the 2012 Olympics he takes 9.75 sec=200-meter race in 19.5 seconds.10.26=10.26the speeds are equal⠀⠀⠀
[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
The two speeds are equal of Yohan Blake.
Which equation in slope-intercept form represents a line that passes through the point (5,−1) and is parallel to the line y=2x-7?
Answer:
y = 2x - 11
Step-by-step explanation:
y = 2x + b
-1 = 2(5) + b
-1 = 10 + b
-11 = b
Consider quadrilateral EFGH.
Quadrilateral E F G H is shown. Sides F G and E H are parallel. Angles E and H are congruent. The length of E F is 4 n minus 4, the length of F G is 3 n + 3, and the length of G H is 2 n + 6.
What is the length of line segment GH?
5 units
7 units
16 units
24 units
Given:
In quadrilateral EFGH, [tex]FG\parallel EH,\angleE\cong \angle H,EF=4n-4,FG=3n+3, GH=2n+6[/tex]
To find:
The length of segment GH.
Solution:
Draw a figure according to the given information as shown below.
In quadrilateral EFGH, [tex]FG\parallel EH,\angleE\cong \angle H[/tex], it means the quadrilateral EFGH is an isosceles quadrilateral because base angles are equal.
Now, quadrilateral EFGH is an isosceles quadrilateral, so the sides EF and GH are equal.
[tex]EF=GH[/tex]
[tex]4n-4=2n+6[/tex]
[tex]4n-2n=4+6[/tex]
[tex]2n=10[/tex]
Divide both sides by 2.
[tex]n=\dfrac{10}{2}[/tex]
[tex]n=5[/tex]
Now,
[tex]GH=2n+6[/tex]
[tex]GH=2(5)+6[/tex]
[tex]GH=10+6[/tex]
[tex]GH=16[/tex]
Therefore, the correct option is C.
Answer:
the answer is C
Step-by-step explanation:
:]
Students were asked to choose their favorite season. If 2/9 of the students
chose spring and 5/9 chose summer, what fraction chose either spring or
summer?
Answer:
7/9
Step-by-step explanation:
2/9+5/9=7/9
For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x, and explain how you know which Law to use. Then find angle x to the nearest tenth.
NOTE: The perimeter of ABC-31
Given:
The figure of a triangle.
The perimeter of the triangle ABC is 31.
To find:
The value of x in the given triangle.
Solution:
Three sides of the triangle ABC are AB, BC, AC are their measures are [tex]3b-4,2b+1,b+10[/tex] respectively.
The perimeter of the triangle ABC is 31.
[tex]AB+BC+AC=31[/tex]
[tex](3b-4)+(2b+1)+(b+10)=31[/tex]
[tex]6b+7=31[/tex]
Subtract 7 from both sides.
[tex]6b=31-7[/tex]
[tex]6b=24[/tex]
[tex]b=\dfrac{24}{6}[/tex]
[tex]b=4[/tex]
Now, the measures of the sides are:
[tex]AB=3b-4[/tex]
[tex]AB=3(4)-4[/tex]
[tex]AB=12-4[/tex]
[tex]AB=8[/tex]
[tex]BC=2b+1[/tex]
[tex]BC=2(4)+1[/tex]
[tex]BC=8+1[/tex]
[tex]BC=9[/tex]
And,
[tex]AC=b+10[/tex]
[tex]AC=4+10[/tex]
[tex]AC=14[/tex]
Using the law of cosines, we get
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
[tex]\cos A=\dfrac{(AC)^2+(AB)^2-(BC)^2}{2(AC)(AB)}[/tex]
[tex]\cos A=\dfrac{(14)^2+(8)^2-(9)^2}{2(14)(8)}[/tex]
[tex]\cos A=\dfrac{179}{224}[/tex]
Using calculator, we get
[tex]\cos A=0.7991[/tex]
[tex]A=\cos ^{-1}(0.7991)[/tex]
[tex]x=36.9558^\circ[/tex]
[tex]x\approx 37.0^\circ[/tex]
Therefore, the value of x is 37.0 degrees.
solve the following problems
Answer:
135°
Step-by-step explanation:
∠AOB = ∠COB = 90°
∠BOK = 45°
90 + 45 = 135°
Hans withdrew 40 dollars from his checking account write a signed number to represent this change in his account
Answer:
-40
Step-by-step explanation:
I assume a signed number means a number with a positive or negative sign in front of it. If you withdraw cash from your checking account, your checking account amount decreases, so it would be like subtracting 40 dollars, or -40.
Hope this helps (●'◡'●)
Your organization has 20 employees who need an accounting software update installed. Due to a miscommunication, the purchaser only paid to update 10 licenses. The software company issued a paper license and a single key for updating 10 users. Since this is an enterprise paper license, there is no mechanism that enforces a limit to the number of times the key can be used, so you decide to go ahead and update all 20 users. What are the possible consequences of this decision? (Select TWO.)
Answer:
a. you risk losing your job
b. you expose your company to litigation by violating the software agreement.
Step-by-step explanation:
Doing this puts our job at a risk and it also exposes the company that you work for to litigation. Legally, there is an agreement that puts a limit to the total number of licenses that should be in use. When you use more licenses than you should, this could be regarded as theft. Normally the best thing that you should do is to ask purchasing that they make payments for another 10 licenses. It is very likely that this software company would know of this violation. as the users try to register this software, the software company could get knowledge of this. The activations are not to be shared.
Write the equation of the graph y=
9514 1404 393
Answer:
y = 6^x -3
Step-by-step explanation:
The graph is that of an exponential function that has been translated downward. We notice the horizontal asymptote is -3, and a couple of points on the graph are (0, -2) and (1, 3).
The shifted parent function will look like ...
y = a·b^x +c
where c is the horizontal asymptote. Using the two points we found, we have ...
-2 = a·b^0 -3 . . . . . using (x, y) = (0, -2)
1 = a . . . . . . . . . . add 3 and simplify
Then using (x, y) = (1, 3), we have ...
3 = b^1 -3
6 = b . . . . . . . . . add 3 and simplify
So, the equation is ...
y = 6^x -3
If a > b and b > a, then ?
That's impossible. There are no solutions.
Read the text and answer the following questions:
1. Kolman shop was once a very rich town
True
False
2. The UFO buildings are a popular tourist attraction in Taipei.
True
False
3. Fordlandia became a problem because there was nowhere for the factory workers to live.
True
False
4. The Ford family sold Fordlandia for $20 million.
True
False
Answer:
1. False
2. True
3. True
4. False
Step-by-step explanation:
[tex]{hope it helps}}[/tex]
The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown.
Step 1: –c = ax2 + bx
Which best explains or justifies Step 1?
subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication
Answer:
subtraction property of equality
Step-by-step explanation:
From the Standard form for quadratic equation, it is possible to see that step 1 represents the subtraction property of equality.
Quadratic function
The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0), the coefficient c is a constant and the degree of the function must be equal to 2.
From the Standard form: ax²+bx+c=0, it is possible to see that step 1:
–c = ax² + b represents the subtraction property of equality.
Read more about a quadratic function here:
brainly.com/question/1497716
A matrix derived from a system of linear equations (each written in standard form with the constant term on the right) is the ---Select--- matrix of the system.
Answer:
augmented
Step-by-step explanation:
In the field of linear algebra, the augmented matrix is defined as the matrix that is [tex]\text{obtained by appending}[/tex] the given columns of any two given matrices, that is usually for the [tex]\text{purpose of performing the same elementary row operations on each of the given matrices. }[/tex]
Here, each row forms an equation having a constant and the column have the coefficients for the single variable.
Thus an augmented matrix is obtained from a system of linear equation in matrix.
The distance traveled (in meters) by an insect is modeled by the equation d=0.5t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 27.9 minutes.
A. none of these
B. 13.95 meters
C. 55.8 meters
D. 1.395 meters
Answer:
B. 13.95 meters
Step-by-step explanation:
The question is just asking you to talk the amount of time taken, and divide it in half.
d= 0.5(27.9)
In the picture shown below, what proportion would NOT give the correct value of x?
Answer: (c)
Step-by-step explanation:
In the given figure, two triangles are similar namely [tex]\triangle ABC[/tex] and [tex]\triangle ADB[/tex]
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of [tex]x[/tex] that is,
[tex]\Rightarrow x=\sqrt{81\times 45}\\\Rightarrow x=60.37[/tex]
Option (c) does not give the correct value of [tex]x[/tex]
Answer:
C
Step-by-step explanation:
In the given figure, two triangles are similar namely and
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of that is,
Option (c) does not give the correct value of
Let x=−1−5i and y=5−i. Find x+y
Answer:
[tex]4-6i[/tex]
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify.
In the graph increasing, decreasing, or constant?
Answer:
Step-by-step explanation:
slope>0 so graph is increasing.
A car is sold for $7560 at a loss of 10%. What is the original cost of the car?
Answer:
car(c.p)=$8400
Step-by-step explanation:
L%=(c.p-s.p)100%
c.p
10%=(c.p-7560)100%
c.p
10c.p=100c.p-756,000
(10-100)c.p= -756,000
-90c.p= -756,000
-90 -90
c.p=8400
Identify the coefficient, variable, and exponent of the monomial: 4y3
Answer:
The variable is y since it is a letter and is meant to hold value
The coefficient is 4 since in this equation 4 is multiplied by y
The exponent is 3 since it is after the variable
Hope This Helps!!!
Answer:
The coefficient is 4
The base and variable is y
The exponent is 3
Step-by-step explanation:
4y^3
The coefficient is 4
The base and variable is y
The exponent is 3
