Answer:
[tex]x=2y+6[/tex]
Step-by-step explanation:
So we have the system:
[tex]-x+2y=-6\\3x+y=8[/tex]
If we isolate the x-variable in the first equation:
[tex]-x+2y=-6[/tex]
Subtract 2y from both sides:
[tex]-x=-6-2y[/tex]
Divide both sides by -1:
[tex]x=2y+6[/tex]
Therefore, we would substitute the above into the second equation:
[tex]3x+y=8\\3(2y+6)+y=8[/tex]
The answer is 2y+6
Further notes:
To solve for the system, distribute:
[tex]6y+18+y=8[/tex]
Simplify:
[tex]7y+18=8[/tex]
Subtract:
[tex]7y=-10[/tex]
Divide:
[tex]y=-10/7\approx-1.4286[/tex]
Now, substitute this value back into the isolated equation:
[tex]x=2(-10/7)+6\\x=-20/7+42/7\\x=22/7\approx3.1429[/tex]
Step-by-step explanation:
Start by solving the equation for x (☓)
[tex] - x + 2y = 6 \\ \: \: \: \: \: 3 + y = 8[/tex]
[tex]x = 6 + 2y[/tex]
Substitute the given value of x for the equation 3 + y = 8[tex]3(6 + 2y) + y = 8[/tex]
solve the equation for y[tex]y = - \frac{10}{7} [/tex]
substitute the given value of y into the equation x = 6 + 2[tex]x = 6 + 2 \times ( - \frac{10}{7} )[/tex]
solve the equation for x[tex]x = \frac{22}{7} [/tex]
The possible solution of the system is the ordered pair (x,y)[tex] (\frac{22}{7} . - \frac{10}{7} )[/tex]
The dot (.) in the center is supposed to be a comma but the scientific keyboard does not support a comma[tex](x.y) \: \: ( \frac{22}{7} . - \frac{10}{7} )[/tex]
This is the solution Marnie out!How to round 1724.89 to the nearest tenths place ?
Answer:
1724.9
Step-by-step explanation:
1724.89 ≈ 1724.9
Answer:
1724.9
Step-by-step explanation:
If you want to round to tenths place, look at hundredths place.
If the digit in hundredths place is 5 or more than 5 (5,6,7,8,9), then add '1' to the tenth place.
Here, 9 is in hundredths place, so add 1 to 8
1724.9
Solve 3[-x + (2 x + 1)] = x - 1.
x=
Answer:
x= -2
Step-by-step explanation:
what is 38.61 + 36.481
Answer:
75.091
Step-by-step explanation:
????? pls help hdjsjddh
Maria's account has a credit of $ 13, and Harry's account has a debit of $ 14. Which of the following statements are true? Select that apply.
Select A Harry's account has $ 27 more than Maria's account. B Maria's account has $ 27 less than Harry's account. C Harry's account has $ 27 less than Maria's account. D Maria's account has $ 27 more than Harry's account.
PLEASE ANSWER FASTT!!
Answer:
A, Harry has $27 more.
Step-by-step explanation:
I could be wrong but.
1) debit cards are of your money, if you have $14 in your account it means you have $14 that you can spend without owing anything.
2) credit cards allow you to borrow money with the expectation that you pay it back. So if you have $13 of credit, you owe $13 which I guess could be seen as -$13.
3) the distance between -13 and 14 is 27.
These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
10 15 20
30
55
Town B
5
20
30
40
55
0
5
10
15
20
45
50
55
60
25 30 35 40
Degrees (F)
Compare the shapes of the box plots.
O A. The distribution for town A is negatively skewed, but the
distribution for town B is symmetric.
B. The distributions for both towns are positively skewed.
C. The distributions for both towns are symmetric.
O D. The distribution for town A is positively skewed, but the
distribution for town B is symmetric.
D. The distribution for town A is positively skewed, but the
distribution for town B is symmetric.
The distribution for town A is positively skewed, but the distribution for town B is symmetric. The correct option is D.
What is box plots?Box plots, also known as box-and-whisker plots, are a way to visualize the distribution of a set of numerical data.
To compare the shapes of the box plots, we need to look at the position of the median, the length of the box, and the length of the whiskers.
In the box plot for town A, the median is closer to the bottom of the box, indicating that the lower half of the data is more spread out than the upper half.
The whisker on the left side of the box plot is longer than the whisker on the right side, which indicates that there are some extreme values on the lower end of the data. This is consistent with a positively skewed distribution.
In contrast, the box plot for town B has a symmetrical box, with the median located near the center.
The whiskers on both sides of the box plot are roughly the same length, indicating that there are no extreme values on either end of the data. This is consistent with a symmetric distribution.
Thus, the correct option is D.
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The area of a square is 83 square meters which is closest to the length of one side of the square
Answer:
20.75
Step-by-step explanation:
The closest to the length of one side of the square will be 9.11 meters.
What is the area of the square?All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.
Then the area of the square will be
Area of the square = a² square units
The area of a square is 83 square meters. Then the side length of the square is given as,
A = a²
83 = a²
a = √83
a = 9.11 meters
The closest to the length of one side of the square will be 9.11 meters.
More about the area of the square link is given below.
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13. 4 times the difference of a and
b
Answer: 4(a - b)
Step-by-step explanation:
If 4 is multiply by the difference of a and b then we will have the expression,
4(a-b)
Given: If X, then Y. If Y, then Z. Y is true. So: X is unknown, Z is unknown X is unknown, Z is true X is false, Z is true X is true, Z is true
The correct option that gives a proper logic for the argument that "If X, then Y. If Y, then Z. Y is true" is given by;
Option B; X is unknown, Z is true
This question is based on the principles of logic. Logic helps us distinguish between valid and invalid arguments.Now, the argument here is that;If X, then Y. If Y, then Z. Y is true.
Now, from this argument, we can see that Y depends on X and then Z depends on Y.Now, we are told that Y is true. Since Z depends on Y as seen that If Y, then Z, we can say that Z is also true.However, we can't say anything about X as X is unknown.
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How would you graph y=2x +5?
Answer:
STEP 1. Locate the y-intercept on the graph
- Locate 5 on the y-axis
STEP 2. Use [Rise/Run] method to graph the slope
- Since the slope is 2, [Rise/Run] will be [2/1] which means 2 unit vertically (y), 1 unit horizontally (x)
----------------------
and boom!! That's all!!
----------------------
EXTRA, this is the graph for y=2x+5
Hope this helps!! :)
Please let me know if you have any question
Consider the line 9x - 5y = 2
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
5y=9x-2
y=mx-b
m=slope
y=9/5x-2/5
m=9/5=1.8 slope of pArallel
slope of pARALLEL=-1/M SLOPE OF A LINE PERPENDICULAR
m=-5/9 slope of a line perpendiculr
PLS HELLP!!!!!!!!!!!!!!!!!!!!! Deandra is doing her math homework. Out of 24 problems total, she completed the first 12 problems in 1 hour and the last 12 problems in 3 hours. What is the unit rate for all 24 problems?
Answer:
24
Step-by-step explanation:
what is the slope-intercept form of (-2,1) and (4,6)
Answer:
y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6-1}{4+2}[/tex] = [tex]\frac{5}{6}[/tex] , thus
y = [tex]\frac{5}{6}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6 ), then
6 = [tex]\frac{20}{6}[/tex] + c ⇒ c = 6 - [tex]\frac{20}{6}[/tex] = [tex]\frac{16}{6}[/tex] = [tex]\frac{8}{3}[/tex]
y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{8}{3}[/tex] ← equation of line
Can someone help me with this pls!!!!!
Answer: 11.) -6. 12.) 4/5
For the square roots, there should be a plus&minus sign but my keyboard doesn't have that.
13.) 3 14.) 8
explanation: For a square root, you are looking for a number that was multiplied by itself to become the number under the radical.
11 is a bit tricky since there is a negative sign before the radical. 6×6=36 -6 × -6 = 36. It seems they want only the -6 here.
4/5 ×4/5 = 16/25
For cube root, you need the number that is multiplied by itself three times. 3×3×3 = 27 8×8×8=512
Can anyone help me with my maths questions ? please
Answer:
sure but whats the question
Step-by-step explanation:
Grayson works in a department store selling clothing. He makes a guaranteed salary of $350 per week, but is paid a commision on top of his base salary equal to 20% of his total sales for the week. How much would Grayson make in a week in which he made $925 in sales? How much would Grayson make in a week if he made xx dollars in sales?
Answer: 535
0.20x+350
Step-by-step explanation:
If Grayson makes $925 in sales he receives $535 and if he makes x sales then he receives $350 +0.2x
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here he makes a base income of $350 and he also earns 20% of his sales output and thus if he makes $925, his total income is
= 350+0.2×925
=$535
And let Grayson make x sales in one week then his salary will be
= 350+0.2x
Hence, If Grayson makes $925 in sales he receives $535 and if he makes x sales then he receives $350 +0.2x
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Chose all the values of x that are not in the domain of this rational function. Picture attached, 15 points and I'll give Brainliest! Due in two hours. A. -2 B. 1 C. 2 D. o
Answer:
All of them.
Step-by-step explanation:
For rational functions, the domain is all real numbers except for the zeros of the denominator.
Therefore, to find the x-values that are not in the domain, we need to solve for the zeros of the denominator. Therefore, set the denominator to zero:
[tex]x(x-1)(x^2-4)=0[/tex]
Zero Product Property:
[tex]x\neq 0\text{ or }x-1\neq 0\text{ or }x^2-4\neq 0[/tex]
Solve for the x in each of the three equations. The first one is already solved. Thus:
[tex]x-1\neq 0 \text{ or }x^2-4\neq 0\\x\neq 1\text{ or }x^2\neq 4\\x\neq 1 \text{ or }x\neq\pm 2[/tex]
Thus, the values that cannot be in the domain of the rational function is:
[tex]x=-2,0,1,2[/tex]
Click all the options.
Answer:
[tex]\Large \boxed{\mathrm{All \ options}}[/tex]
Step-by-step explanation:
The domain of a function are all possible values for x.
To find the domain of a rational function, we set the denominator equal to 0, and solve for x. Those values of x are not included in the domain, since the denominator of 0 would make the rational function undefined.
[tex]x(x-1)(x^2-4)=0[/tex]
Setting the factors equal to 0.
[tex]x=0 \\ \\ \\\\ x-1=0 \\ \\ x=1 \\ \\ \\ \\ x^2 -4=0 \\ \\ x^2 =4 \\ \\ x=\pm 2[/tex]
The values of x that are not in the domain of the rational function are x=-2, x=1, x=2, and x=0.
Two hikers are 88 miles apart and walking toward each other. They meet in 10 hours. Find the rate of each hiker if one hiker walls 4.4 mph faster than the other
The speed of the slow hikeris mph, and the speed of the fast hiker is mph.
(Type integers or decimals.)
Answer:
2.2 and 6.6
Step-by-step explanation:
Given:
Distance = 88 milesTime = 10 hoursRate of hiker 1 = rRate of hiker 2 = r + 4.4Then:
r + r + 4.4 = 88/102r + 4.4 = 8.82r = 4.4r = 2.2 Mph rate of hiker 1r + 4.4 = 6.6 Mph rate of hiker 2
Answer:
0.5
Step-by-step explanation:
if you do 4.4 times 10 you get 44 then you divide 44 by 88 and get 0.5
express 0.000834 in standard form
Answer:8.34 x 10-4
mark me brainliest
Answer:8.34 x 10 -4 is the answer
Yoxel buys 4 1/2 gallons of soda. 1/4of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxelt buy? PLEASE HELP I WILL MARK YOU BRAINLIEST,
Answer:
[tex]4\frac{1}{4}[/tex] gallons
Explanation:
Total amount of soda bought by Yoxel = [tex]4\frac{1}{2}[/tex] =[tex]\frac{9}{2}[/tex] gallons
Amount of Pepsi =[tex]\frac{1}{4}[/tex] gallons
Therfore,
Amount of sprite =[tex]=\frac{9}{2} -\frac{1}{4}\\=\frac{18-1}{4} \\=\frac{17}{4}\\ =4\frac{1}{4}[/tex]gallons
PLEASE HELP ME ASP!!!!!!
Answer:
B
Step-by-step explanation:
First, note that the figure is a parallelogram.
The area of a parallelogram is given by:
[tex]A=bh[/tex]
Where b is the base length and h is the vertical height.
The base length is 5+2 or 7, and the vertical height is 2.
Thus:
[tex]A=7(2)\\A=14\text{ in}^2[/tex]
The answer is B.
Need angles l1 and l2.
Answer:
∠ 1 = 105° , ∠ 2 = 75°
Step-by-step explanation:
Since the lines are parallel then
∠ 2 = 75° ( corresponding angle )
∠ 1 and ∠ 2 are adjacent angles and supplementary, thus
∠ 1 = 180° - 75° = 105°
Evaluate a) 3⁴ b) -6² c) (-4)⁴
Answer:
A) 81
B)-36
C)256
Step-by-step explanation:
A)
We have:
[tex]3^4[/tex]
This is the same as:
[tex]=3\times3\times3\times3[/tex]
This equals:
[tex]=81[/tex]
B)
We have:
[tex]-6^2[/tex]
This one is tricky. Note that the negative is not tied to 6. There's no parentheses. This is the same as saying:
[tex]=(-1)(6)^2[/tex]
Thus, evaluate the square:
[tex]=-1(36)[/tex]
Multiply:
[tex]=-36[/tex]
C)
We have:
[tex](-4)^4[/tex]
This is the same as:
[tex]=-4\times-4\times-4\times-4[/tex]
Multiply:
[tex]=256[/tex]
Answer:
A. (3x4=12)
B. (-12)
C. ( -16
Step-by-step explanation:
Hope it helps out.
3x4=12 -6x2=-12 -4x4=-16
The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off all entry tickets during the off-peak season. The Sandlers paid a total of $194 for 1 adult ticket and 4 child's tickets to the water park during the off-peak season. The following equation represents this situation, where x represents the regular price of an adult ticket:
194 = one-half x + 2(x − 8)
What is the regular price of a child's ticket? (5 points)
a
$68
b
$76
c
$84
d
$89
Answer:
76
Step-by-step explanation:
so first the equation for the situation has been given which is
194=1/2x + 2x - 16
now you can just solve since it's a linear equation
194=2.5x -16
take 16 to the other side to get
210=2.5x
solve to get x (adult price)
which is 84
remember the. child's price is 8 less
84-8=76
??? Anyone know how to do this ???
Answer:
B. x ≤ 2.
Step-by-step explanation:
56 - 10x ≥ 20 + 8x
-18x ≥ -36
x ≤ -36/-18 = 2. ( Note that the inequality sign flips because we are dividing by a negative value).
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses $3.50 for each 30-day period it is not used. Write an equation for the number of 30-day periods until the value of the gift cards will be equal. Let x represent the number of 30-day periods.
Answer:
x=20
Step-by-step explanation:
Let = a 30 day period
The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)
The second equation is 40-1.5x
Set them equal to each other: 50 - 2x = 40 - 1.5x
Solve for x:
50 - 2x = 40 - 1.5 x
+2x +2x
-----------------------
50 = 40 + 0.5 x
-40 -40
-------------------
10 = 0.5 x
20 = x
So there will be 20 30-day periods until the cards will be equal in value.
Check: After 20 periods, 50 - 2(20) = $10 left
40 - 1.5(20) = also $10 left
Help!!! Me on this I would really appreciate
Answer:
13
Step-by-step explanation:
The mean of all the numbers is the sum of the numbers divided by the number of numbers.
The sum of all of the numbers is 10 + 14 + 16 + 12 + 14 + 14 + 11 = 91.
We then divide by 7, getting 13.
Answer:
13
Step-by-step explanation:
The mean of a data set is the average value of the set.
To find the average, we simply need to add all the values and then divide by the number of values.
There are 7 values. So, add all of them and then divide by 7.
[tex]\bar x=\frac{10+14+16+12+14+14+11}{7}[/tex]
Add:
[tex]\bar x=\frac{91}{7}[/tex]
Divide:
[tex]\bar x=13[/tex]
Therefore, our average is 13.
(Note that the x with the bar on the top is a common way to denote the mean.)
What is the perimeter of a rectangle with length of √18 and width of √8 in simplest form?
Answer:
P=10√2
Step-by-step explanation:
Perimeter of rectangle= 2 length + 2 width
P=2l+2w
P=2(√18)+2(√8)
P=2(√9*2)+2(√4*2)
P=2*3*√2 +2*2√2
P=6√2+4√2
P=10√2
The length of a car is 4.5 m. A model of it is made and the length of the model is 12.5 cm.
Find the scale factor.
Answer: 9:25 ?
Step-by-step explanation:
4.5 × 2 = 9
12.5 × 2 = 25
4.5:12.5 ratio simplified is 9:25
What will be the coordinates of point M’ of the image after the rotation (-4,1) (-1,-4) (1,-4) (4,-1)
PLEASE HURRYYYYY !!
Answer: B (-1,4)
Step-by-step explanation: