Answer:
(-6,8)
Step-by-step explanation:
By reading the question you can determine that point E is to the east, or the right, of point F by 9 units. This ultimately means you must subtract 9 units on the horizontal (x-axis) in order to get to point F.
Consider this expression.
(x + 9)(x - 2) - 9x - 6
What is equivalent?
Answer:
We can find an expression equivalent to the one given by expanding the expression given,
[tex](x + 9)(x - 2) - 9x - 6\\x^2-2x+9x-18-9x-6\\x^2-2x-24[/tex]
So [tex]x^2-2x-24[/tex] is a possible expression.
The required expression equivalent to (x + 9)(x - 2) - 9x - 6 is (x + 4)(x - 6).
Given that,
(x + 9)(x - 2) - 9x - 6, an equivalent expression is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
= (x + 9)(x - 2) - 9x - 6
= x² + 9x -2x -18 - 9x - 6
= x² - 2x - 24
= x² -6x + 4x - 24
= x (x - 6) + 4 (x - 6)
= (x + 4)(x - 6)
Thus, the required expression equivalent to (x + 9)(x - 2) - 9x - 6 is (x + 4)(x - 6).
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The Midpoint of UV is M(4, -6). Find V given U(7, -9)
Answer:
(1, -3)Step-by-step explanation:
Given the Midpoint of UV is M(4, -6) and U(7, -9), we are to find the other coordinate V. The formula for calculating the midpoint of two coordinates is expressed as shown;
M(X,Y) = (x1+x2/2, y1+y2/2)
X = x1+x2/2
Y = y1+y2/2
Given (X,Y) = ()4, -6)
U (x1, y1) = (7, -9)
To get x2 and y2, we will substitute the given values into th formula above;
4 = (7+x2)/2
cross multiply
4*2 = 7+x2
8 = 7+x2
x2 = 8-7
x2 = 1
Similarly for y2;
-6 = (-9+y2)/2
cross multiply
-6*2 = -9+y2
-12 = -9+y2
y2 = -12+9
y2 = -3
Hence the other coordinate V(x2, y2) is (1, -3)
O points
Mr. Freeman has a square cornfield. Which of the following could be the
area of the cornfield if the sides are measured in whole numbers?
150 square acres
189 square acres
200 square acres
225 square acres
Step-by-step explanation:
Notice that 15 squared = (3 * 5)^2 = 9 * 25 = 225.
So the area of the cornfield can be 225 square acres.
2^5*2^3/4^4 plz answer
Answer:
1
Step-by-step explanation:
Because they both of the same base, we can merge 2^5 and 2^3 into one term: 2^8 (2^(3+5))
4 is = 2^2 so we can change 4^4 to 2^8.
(2^(2*4)).
Thia means we now have 2^8/2^8 which is 1.
As anything divided by itself is just 1.
Hope this helped!
I NEED HELP ASAP!
7x-3y= 6; х= 3
Answer:
If you are looking for y it's 5
Step-by-step explanation:
Plug in 3 for x
7(3) -3y = 6
21 - 3y = 6
subtract 21 from both sides
-3y = - 15
divide by three from both sides
y = 5
Help please!! Thank you
Answer:
Im positive it is C if its not im sorry
Step-by-step explanation:
This question is confusing. Please help me!
Answer:
C. 490.
Step-by-step explanation:
25% = 0.25.
If the number of emails that Ryan and Taylor each received is x emails then Sara received 2x + 0.25 * 2x = 2.5 emails.
So 2x + 2.5x = 882
x = 882/4.5
x = 196.
So Sara received 2.5 * 196
= 490 emails.
I have three different prime factors. I have two identical digits. What number am I?
Answer: 66
Step-by-step explanation:
Carmen drew this figure to represent the dividend of a division expression.What number is represented by the arrow?
plsss help !!!!!!!!!!!
Answer:
The answer is 9
Step-by-step explanation:
All you need to do is divide the two numbers and you will get 9. Trust me I did this one:)
Answer:
the answer is 9
Step-by-step explanation:
hope this helps :D. And can u plz give me a brainliest??
889×27+50 is blank than 889×27
Answer:
50
Step-by-step explanation:
889*27=24003
889*27+50=24053
24053
-24003
00050
x2 + y2 = 13
x² - y2 = -16
Solve
Solve the following:
2x-7\4 = x+3/3
Hope u get this!
Answer:
hello it is so
Step-by-step explanation:
simple simply do the division if don't I can
Point Q'Q ′ Q, prime is the image of Q(0,6)Q(0,6)Q, left parenthesis, 0, comma, 6, right parenthesis under the translation (x,y)\to(x+7,y-5)(x,y)→(x+7,y−5)left parenthesis, x, comma, y, right parenthesis, \to, left parenthesis, x, plus, 7, comma, y, minus, 5, right parenthesis. What are the coordinates of Q'Q
Q is located at (0,6)
The translation rule is [tex](x,y) \to (x+7,y-5)[/tex] which says to add 7 to the x coordinate and subtract 5 from the y coordinate. Doing that to (0,6) moves it to (7,1) which is where point Q' is located.
In other words, if you shift point Q(0,6) seven units to the right and five units down, then it arrives at Q ' (7,1)
Answer: (7, 1)The coordinates of Q' are [tex]Q'(x,y) = (7, 1)[/tex].
Note - There are typing mistakes in the question. Correct statement is presented below:
Point Q' is the image of [tex]Q(0,6)[/tex] under the translation [tex](x,y) \to (x+7, y-5)[/tex]. What are the coordinates of Q'.
In this question we should use the point and the operation described in statement. Vectorially speaking, a translation is defined by the following operation:
[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.[tex]P'(x,y)[/tex] - Translated point. [tex]T(x,y)[/tex] - Translation vector.If we know that [tex]Q(x,y) = (0,6)[/tex], then the coordinates of [tex]Q'(x,y)[/tex] are:
[tex]Q'(x,y) = Q(x,y) + (7,-5)[/tex]
[tex]Q'(x,y) = (0,6) + (7,-5)[/tex]
[tex]Q'(x,y) = (7, 1)[/tex]
The coordinates of Q' are [tex]Q'(x,y) = (7, 1)[/tex].
We kindly invite to see this problem on rigid transformations: https://brainly.com/question/18613109
- 3(4r - 8) = 36 - 2r
Answer:
r= -1.2
Step-by-step explanation:
first use distributive property
- 3(4r - 8) = 36 - 2r
-12r +24 = 36-2r
+2r. +2r
-10r +24= 36
-24. -24
-10r = 12
/-10. /-10
r= -1.2
Answer:
Step-by-step explanation:
Equation: -3(4r - 8) = 36 - 2r
Step 1:
-12r + 24 = 36 - 2r Multiply (4r - 8) by -3 using the Distributive Property.
Step 2:
-10r + 24 = 36 Add -12r and -2r by 2r.
Step 3:
-10r = 12 Subtract 24 and 36 by 24.
Step 4:
r = -12/10 Divide both sides by -10
Step 5:
r = -6/5 Simplify the fraction.
F(x)=3x-2
Simplify F(2x)-F(x+2)
Answer:
3x - 6
Step-by-step explanation:
To evaluate f(2x) and f(x + 2) substitute x = 2x and x = x + 2 into f(x)
f(2x) = 3(2x) - 2 = 6x - 2
f(x + 2) = 3(x + 2) - 2 = 3x + 6 - 2 = 3x + 4
Thus
f(2x) - f(x + 2)
= 6x - 2 - (3x + 4)
= 6x - 2 - 3x - 4
= 3x - 6
Compare the graphs of the two functions f and g, given that f(x) = 3x. What is an equation for g? A graph where the x- axis runs from -6 to 4 and the y- axis runs from -4 to 4. The point (0, 0) where the axes intersect is marked. The points 2, 4, -2, and -4 are marked on the y- axis and the points 2, 4, -2, -4 and -6 are marked on the x- axis. Two graphs of functions f and g are marked in the graph and they overlap each other on the negative x- axis. The function f is mapped in the first and the second quadrants while the function g is mapped in the third and the fourth quadrants. A. g(x)=(−3)x B. g(x)=−3x C. g(x)=3x D. g(x)=(13)−x
Answer:
56
Step-by-step explanation:
9. This piecewise function represents the Social Security taxes for 2009. How much did Rachel pay in Social
Security tax if she earned $102,000 in 2009?
(0.062x
when 0< x < 106,800
($6,621.60
when x > 106,800
Nax)
a. $6,824.60
b. $6,355.10
c. $6,324.00
d. $6,220.00
Answer:
Option c.
Step-by-step explanation:
It is given that the piecewise function represents the Social Security taxes for 2009.
[tex]Tax=\begin{cases}0.062x & \text{ when } 0< x < 106,800 \\ \$6,621.60 & \text{ when } x > 106,800 \end{cases}[/tex]
We need to find Rachel's security tax if she earned $102,000 in 2009.
Since 102,000 lies in [tex]0<x<106,800[/tex], therefore
[tex]Tax=0.062x[/tex]
Put x=102000.
[tex]Tax=0.062(102000)[/tex]
[tex]Tax=6324[/tex]
So, the Social Security tax is $6324.
Therefore, the correct option is c.
What is the value of x in the equation -x = 6 - 3x + 8?
Answer:
x=7
Step-by-step explanation:
Collect like terms:
-x=6-3x+8
-x+3x=6+8
Simplify
2x=14
Simplify
x=7
How do I solve this problem?
Answer:
Step-by-step explanation:
The first 2 pieces of this function agree at pi/4, so we will set them equal to each other and sub in pi/4 for x to solve for k:
[tex]ksin(\frac{\pi}{4})+(\frac{\pi}{4})^2=\frac{\pi}{4}+2[/tex] and
[tex]k(\frac{\sqrt{2} }{2})+\frac{\pi^2}{16}=\frac{\pi}{4}+2[/tex] and we'll multiply everything by 16 to get rid of the fractions. Doing that gives us:
[tex]8k\sqrt{2}=4\pi+32-\pi^2[/tex] and
[tex]k=\frac{4\pi+32-\pi^2}{8\sqrt{2} }[/tex] so
k = 3.067
The next one is a bit tricky if you're not up on your natural log equations.
Again, we set these equal to each other because they meet at the value of e. We sub in e for x and solve for m:
[tex]x +2=mlne^x[/tex]
We'll sub in e for x. ln of e to the x power is equal to x, so
e + 2 = me and
[tex]m=\frac{e+2}{e}[/tex] so
m = 1.736
Hope that helps!
What is 350 divided by 55 as a decimal? A) 6.6 B) 6.36 C) 6.363 D) 6.363
6.363 is the correct answer as it represents the repeating decimal correctly.
So, the correct answer is D) 6.363
To find the decimal equivalent of the division 350 divided by 55, you simply divide 350 by 55 using long division. Here's the step-by-step calculation:
6.363636...
_______________
55 | 350.000000
- 330
_______
200
- 165
______
350
- 330
______
200
- 165
______
350
- 330
______
200
- 165
______
...
The division continues indefinitely with the decimal repeating the sequence 36.
Therefore, the decimal equivalent of 350 divided by 55 is 6.363636...
Based on the options provided:
A) 6.6 is not correct as it rounds up the decimal prematurely.
B) 6.36 is not correct as it does not account for the repeating decimal.
C) 6.363 is not correct as it rounds down the decimal prematurely.
D) 6.363 is the correct answer as it represents the repeating decimal correctly.
So, the correct answer is D) 6.363.
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During a backgammon game, Jimmy rolled two dice on the board. Find the probability that the sum obtained was greater than 8 given that the number on one die was a 6
Answer:
2/3Step-by-step explanation:
This problem bothers on probability
Given that two dice are expected to give an outcome of sum greater than 8
But in the problem statement the first die is already settled since it is showing 6 already.
Now for the second die, the possible outcomes that will add up with the first die to produce a figure greater than 8 are (3,4,5,6)
The probability of obtaining either of these numbers is 4/6= 2/3
Having the first die settled, this means that the probability of obtaining a sum of 8 is 2/3
what is the horonzontial distance between the two points(3,4) and (8,4)
Answer:
Distance = 5.099
Step-by-step explanation:
Rhonda has one sheet of paper. She cuts it into thirds and stacks the 3 sheets. If she completes this process a total of 5 times, how many sheets thick will the resulting stack be? by the way sh only has to complete the process 27 before it reaches the moon.
15 stacks high or 405 if done 27 times
Answer:
15 stacks
If she does it for 27 more times it will be
405
Daniel growing corn in a square field. The length of one side is 100 yards he needs to purchase fertilizer for the corn field. Each bag covers 50 square yards .How many bags do he need?
Answer:
200 bags are needed
Step-by-step explanation:
First let us determine the area of the corn field:
Shape of cornfield = square
Area of a square = Length × Length
where: Length = 100 yards
∴ Area = 100 × 100 = 10,000 square yards
1 bag of fertilizer is needed to cover 50 square yards:
50 square yards = 1 bag of fertilizer
[tex]\therefore 1 \ square\ yard\ = \frac{1}{50}\ bag\\10,000\ square\ yards\ =\ \frac{1}{50} \times 10,000 = \frac{10l000}{50} \\ = 200 bags[/tex]
Hence, 200 bags are needed.
Answer:
200 bags are needed
Step-by-step explanation:
I did the test and got it correct good luck everyone !!
what is n to the -2 power times n to the 6 power
Answer:
[tex]n^4[/tex]
Step-by-step explanation:
So we have:
[tex]n^{-2}\cdot n^6[/tex]
We can use the following property:
[tex]x^a\cdot x^b=x^{a+b}[/tex]
Thus, our expression is equivalent to:
[tex]=n^{-2+6}[/tex]
Add:
[tex]=n^4[/tex]
And we're done!
n2
i have taken something like this before!
write 3.777777 as a fraction
Answer:
[tex]\huge\boxed{\sf \frac{34}{9}\ \ OR \ \ 3\frac{7}{9} }[/tex]
Step-by-step explanation:
Let
x = 3.777....... (1)
Then
10x = 37.777..... (2)
Subtracting (1) from (2)
10x - x = 37.7777..... - 3.77777.......
9x = 34
Dividing both sides by 9
x = 34 / 9
x = [tex]3 \ \frac{7}{9}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807what is equivalent to 3x-4-(5x+7)
Using Algebra tiles, show a model of 3x.
its the first option.
tiles of X and tiles of 1 are different
3 tiles of "X" = 3X
3 tiles of " 1 " = 3
option 3 does not mean 3X, it just means 3X + 3
Answer:
If it's the other way around which is x+3 it would be
Step-by-step explanation:
1=X
&
3 ones
x-1-1-1
Hope that helps as well 0_0
Solve for x.
X^2-6x+10=2
Answer:
x = 2, 4
Step-by-step explanation:
Step 1: Write out quadratic
x² - 6x + 10 = 2
Step 2: Subtract 2 on both sides
x² - 6x + 8 = 0
Step 3: Factor
(x - 4)(x - 2) = 0
Step 4: Find roots
x - 4 = 0
x = 4
x - 2 = 0
x = 2
8(4√7 - √18) I breed the answer fast please
Answer:
32[tex]\sqrt{7}[/tex] - 24[tex]\sqrt{2}[/tex]
Alternative form:
≈50.72292
Step-by-step explanation:
Step one,
Simplify the radical expression:
8(4√7 - √18)
Still Stuck? *( √18 Simplified is 3√2)*
Your answer should look like this: 8(4√7 - 3√2)
Step two,
Distribute 8 through the parentheses:
8(4√7 - 3√2)
Still Stuck? *( Use distribuitave property to distribute 8 to (4) and (-3). You should get (32) and (-24)*
Your answer should look like this: 32√7 - 24√2
Solution,
32[tex]\sqrt{7}[/tex] - 24[tex]\sqrt{2}[/tex]
Alternative form:
≈50.72292
*For alternative form, plug the final answer into your calculator. Round it if necessary*