Answers
Answer:
y = x +5
Step-by-step explanation:
The equation of a parallel line will have the same x- and y-coefficients, but a different constant. You need to find the constant that makes the line go through the given point.
ApplicationThe given line is y = x +1. The equation you're looking for is
y = x +c . . . . . . for some new constant c
We want this equation to be true for (x, y) = (-2, 3). Putting these values into the equation, we can solve for c.
3 = -2 +c
5 = c . . . . . . add 2
The desired equation is y = x +5.
Related Questions
(-4) (-2) +2 (6+5) if anyone knows pls tell due dates tomm for homework
Thanks,
Unknownaz05
Answers
Answer:
21
Step-by-step explanation:
(-4)(-2)+2(6+5)
(8)+2(11)
10+11
21
Hope this helps! :)
Answer:32
Step-by-step explanation: First, we do parentheses. 6+5 = 11. Next, we have to do multiplication (-4)(-2) is positive 8 because there are two negatives. 8+2 is 10 + 2(11) is 10+22 which is 32
IF A BASEBALL TEAM CONSISTS OF 18 PLAYERS, HOW MANY POSSIBLE GROUPS
OF 9 MAN TEAMS ARE POSSIBLE?
Answers
The number of ways men can be selected from the team of 18 is 48,620ways
Combination and PermutationPermutation has to do with arrangement while combination has to do with selection.
If a baseball team consists of 18 players and 9 man are possible in the team, the number of ways the men can be chosen is calculated using the combination formula below;
nCr = n!/(n-r)!r!
Given the following
n =18
r = 9
Substitute
18C9 = 18!/(18-9)!9!
18C9 = 18!/9!9!
18C9 = 48,620
Hence the number of ways men can be selected from the team of 18 is 48,620ways
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How much is a one time investment of 250 be when invested at 6% for 40 years in compound annually
Answers
Answer:
600
Step-by-step explanation:
250/1 times 6/ 100 times 40/1
need heeeelp please
Answers
Answer:
376.99112cm²
Step-by-step explanation:
A=2 pi rh + 2 pi r²
A=(2 x pi x 5 x 7) + (2 x pi 5²)
pi 22/7
Evaluate the following functions for the given value.
20. g(x) = x-3/2x+1 ; -1
Answers
The value of the function g(x) = x -3/2x + 1 for x = -1 is g(-1) = 4
How to evaluate the functions for the given value?The function is given as:
g(x) = x -3/2x + 1
The value is given as:
x = -1
Substitute the known values in the above equation
i.e. we substitute the -1 for x in the above equation
So, we have:
g(-1) = -1 -3/2(-1) + 1
Expand the bracket
g(-1) = -1 -3/-2 + 1
Evaluate the sum and the difference
g(-1) = -4/-1
Evaluate the quotient
g(-1) = 4
Hence, the value of the function g(x) = x -3/2x + 1 for x = -1 is g(-1) = 4
So, the complete parameters are:
g(x) = x -3/2x + 1
x = -1
g(-1) = 4
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K
An employment agency specializing in temporary construction help pays heavy equipment operators $124 per day and general laborers $82 per day If thirty-seven people were hired
and the payroll was $3916, how many heavy equipment operators were employed? How many laborers?
The number of heavy equipment operators hired was?
The number of general laborers hired was?
Answers
Step-by-step explanation:
x = number of heavy equipment operators
y = number of general laborers
x + y = 37 (37 people were hired)
out if this we get e.g.
x = 37 - y
124x + 82y = 3916 (daily rate for each role, in total 3916)
now we use the first equation in the second :
124(37 - y) + 82y = 3916
4588 - 124y + 82y = 3916
672 - 42y = 0
672 = 42y
y = 16
x = 37 - y = 37 - 16 = 21
21 heavy equipment operators were hired.
16 general laborers were hired.
Checking account A charges a monthly service fee of $12 and a wire transfer
fee of $10.50, while checking account B charges a monthly service fee of $21
and a wire transfer fee of $8.50. Which checking account is the better deal if
4 wire transfers are made per month?
A. Checking account B IS the better deal, because its total monthly
fees amount to $55, while those for checking account A amount to
$54.
B. Checking account B is the better deal, because its total monthly
fees amount to $54, while those for checking account A amount to
$55.
C. Checking account A is the better deal, because its total monthly
fees amount to $55, while those for checking account B amount to
$54.
c
D. Checking account A is the better deal, because its total monthly
fees amount to $54, while those for checking account B amount to
$55.
Answers
For only 4 wire transfers, Checking account A has a monthly fee of $54, while checking account B has a monthly fee of $55, so the correct option is D.
Which checking account is better?Checking account A charges a monthly fee of $12, plus $10.50 for each wire transfer, then the total cost if you make 4 wire transfers is:
C = $12 + $10.50*4 = $54
For checking account B, we have a fixed cost of $21, plus $8.50 per each wire transfer, then the total cost for 4 wire transfers is:
C' = $21 + 4*$8.50 = $55
So, if you make only 4 wire transfers per month, checking account A is a better option.
Then we can see that the correct option is D.
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Please help! Which linear system has this matrix of constants? `[[12],[11],[4]]` A, B, C, or D
IMAGE ATTACHED
Answers
Check the picture below.
Evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.
−22
–4
2
32
Answers
Hi there,
please see below for solution steps :
‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗
Evaluate by substituting :
[tex]\begin{gathered} \boldsymbol{f(x)=-2x^2-3x+5; \ evaluate \ when \ x=-3} \\\boldsymbol{Write \ -3 \ everywhere \ you \ see \ and \ x :}\\\boldsymbol{f(-3)=-2(-3)^2-3(-3)+5}\\\boldsymbol{Evaluate \ using \ Order \ of \ Operations :}\\\boldsymbol{f(-3)=-2(9)+9+5= > -18+9+5= > -18+14= > -4}\end{gathered}[/tex]
Therefore, the answer is [tex]\LARGE\textbf{-4}[/tex].
I hope the answer - and steps - made sense to you !!
Happy Learning !!
‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗
What is the slope of the graph shown below?
Answers
Answer:
Option 3: -2
Step-by-step explanation:
The slope of the graph is negative, and the only option with a negative term for the slope is -2.
So the slope of the graph is -2.
If direct materials per unit are $20, direct labor per unit is $10, variable overhead per unit is $2, and fixed overhead per unit is $1, total product cost per unit is?
Answers
The total product cost per unit.
TPC= $33
This is further explained below.
What is the total product cost per unit.?Generally, The direct materials cost per unit, the direct labor cost per unit, the variable overhead cost per unit, and the fixed overhead cost per unit make up the total product cost per unit.
The total costs of the product may be calculated by adding up the costs of all of the direct materials, all of the direct labor and all of the overhead expenses of the production process. 1 Information such as the cost of manufacturing on a per-unit basis may assist a company in determining an acceptable selling price for the final product.
Generally, the equation for total product cost per unit. is mathematically given as
TPC= 20 + 10 + 2 + 1
TPC= $33
In conclusion, the total product cost per unit.
TPC= $33
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Answer:
$33
Step-by-step explanation:
If the lengths of a triangle are 8, 12, and 18 can it be a right triangle?
Answers
Hello,
The triangle be right only if : 18² = 8² + 12²
We have : 18² = 18 × 18 = 324
and 8² + 12² = 8 × 8 + 12 × 12 = 208
324 ≠ 208 → the triangle can not be a right triangle
The following scatterplot shows the percentage of the vote a candidate received in the 2016 senatorial elections
according to the voter's income level based on an exit poll of voters conducted by a news agency. The income
levels 1-8 correspond to the following income classes:
1 = Under $15,000; 2 = $15-30,000; 3 = $30-50,000; 4 = $50-75,000; 5 = $75-100,000;
6 = $100-150,000; 7 = $150-200,000; 8 = $200,000 or more.
Use the election scatterplot to the find the critical values corresponding to a 0.01 significance level used to test
the null hypothesis of ρs = 0.
A) -0.881 and 0.881
B) -0.881
C) -0.738 and 0.738
D) 0.881
Answers
The critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
How to determine the critical values corresponding to a 0.01 significance level?The scatter plot of the election is added as an attachment
From the scatter plot, we have the following highlights
Number of paired observations, n = 8Significance level = 0.01Start by calculating the degrees of freedom (df) using
df =n - 2
Substitute the known values in the above equation
df = 8 - 2
Evaluate the difference
df = 6
Using the critical value table;
At a degree of freedom of 6 and significance level of 0.01, the critical value is
z = 0.834
From the list of given options, 0.834 is between -0.881 and 0.881
Hence, the critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
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Which equation is correct?
O sin gº =z/x
O sin gº=x/z
O tan gº =z/x
O tan gº = x/z
Answers
Emily thinks the perfect tomato sauce has 15 cloves of garlic in every 6 L end text of sauce. Raphael's tomato sauce has 25 cloves of garlic in every 9 L end text of sauce. What will Emily think of the amount of garlic in Raphael's tomato sauce? Choose 1 answer: Choose 1 answer: (Choice A) A Raphael's tomato sauce has too much garlic. (Choice B) B Raphael's tomato sauce has too little garlic. (Choice C) C Raphael's tomato sauce is perfect.
Answers
Answer:
Raphael's tomato sauce has too much garlic.
Step-by-step explanation:
We can use ratios to solve
Emily:
15 cloves
----------------
6L
2.5 Cloves per Liter
Raphael
25 cloves
----------------
9 L
2.7777(repeating) cloves per liter
Raphael has more garlic per liter
Answer:
B
Step-by-step explanation:
perfect tomato sauce
15 cloves → 6 L ( multiply both parts by 1.5 )
22.5 cloves → 9 L← Raphael's tomato sauce
since he used 25 cloves of garlic , then
Emily would think Raphael's sauce has too little garlic
Describe in detail how you would create a number line with the following points: 1, 3.25, the opposite of 2, and – (–4fraction of one-half). Please be sure to describe on which tick marks each point is plotted and how many tick marks are between each integer. It may help for you to draw this number line by hand on a sheet of paper first.
Answers
The detail Description on how to create a number line with the above points is given below:
What is the Description?Note that we were given the following: points 4, 1, 25, and opposite of 2. The step to take to First draw on Number Line.
Since Numbers with a negative sign are known to be less than zero ( Right of zero is shown by ‘+’ sign and to the left of zero is shown by ‘–’ sign while the + sign numbers can be depicted as simply numbers)
Then:
Draw a line and select some points that is known to have an equal distance and then select and mark a point as zero on that line. The Points to the right of zero will be called positive integers and they are those marked as 1, 2, 3, etc., and also, the points to the left of zero are said to be negative integers and are known to be marked – 1, – 2, – 3, etc.Then take the line to 4 unit on right sides from Zero to depict the point 4.Then Go 3 units to the Left from zero to depict the opposite of 3Then Divide number line between 1 and 2 in four equal parts and then take to 1 part right of point 1.Lastly, divide the number line that is between 0 & -1 into two Equal parts and then take 1 part left of 0.Therefore, The detail Description on how to create a number line with the above points given above is correct:
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Question 8
Ben decides to build a rabbit run to keep his children's rabbits in. The run will be
rectangular with a width of 4 m. He has a maximum of 34 m of fencing to use, but
wants the area to be greater than 50 m². Find the range of values for the length of
the run, using inequalities.
Answers
2(4) + 2x <= 34
AreA
4x > 50
—-> x > 12.5
From perimeter inequality:
2x <= 34-8
—> 2x <= 26
—> x <= 13
So the range for the length
Is
12.5 < x <= 13
A drawer contains loose socks. There are 2 blue and 4 black socks in the drawers. What is the probability that you choose a sock without looking, then choose a second sock (keeping the first in your hand) without looking, and end up with a pair of black socks?
Answers
The probability is p = 2/5, the correct option is the third one.
How to find the probability?
There is a total of 6 socks, such that 4 are black and 2 are blue.
Then the probability of first getting a black sock is the quotient between the number of black socks and the number of blue socks, which gives:
P = 4/6
Now there are 5 socks in total, such that 3 are black and 2 blue.
Then the probability of getting another black one is:
Q = 3/5
The joint probability (getting the two black socks) is given by the product of the individual probabilities:
p = (4/6)*(3/5) = 2/5
The correct option is the third one.
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Ali’s ate 1/3 of a pizza for lunch. Later, she ate 2/5 of the remaining pizza as a snack. How much of the pizza did she eat altogether?
Answers
Step by step
We know she ate 1/3 of a pizza, that leaves 2/3 left over
We know she ate 2/5 of the 2/3 left overs
So
2/5 x 2/3 = 4/15 she ate as a snack
Add this to the 1/3 she ate for lunch
1/3 + 4/15 = total pizza she ate
To add these, we need the denominator the same
1/3 = x/15, we multiply the 3 x 5 to get 15 so we do the same to the numerator, 1 x 5 = 5
So 5/15 + 4/15 = 9/15
We can simplify this to 3/5
Problem solved
The following value 1.23456789 x 10-6
what is a answer?
Answers
Answer 1:
1.23456789 × (10-6) = 4.93827156
Answer 2:
(1.23456789 × 10) - 6 = 6.3456789
Answer 3:
1.23456789 × [tex]10^{-6}[/tex] = 0.000000123456789
Hope this helped! :)
What is the perimeter of a triangle whose three sides are 5x+1, 6x+4, and 2x
Answers
5x+1+6x+4+2x
5x+6x+2x+1+4
13x+5
Two angles of a quadrilateral are of measures 75° and 117° respectively and the other two angles are equal find the measure of each of the equal angles
Answers
Answer:
Step-by-step explanation:
The sum of interior angles of a quadrilateral is 360°.
If we consider the measure of one of the unknown angles to be [tex]x[/tex]°, we can set up the following equation:
[tex]x + x + 75^\circ + 117^\circ = 360^\circ[/tex]
Now we can solve for [tex]x[/tex]:
⇒ [tex]2x + 192^\circ = 360^\circ[/tex]
⇒ [tex]2x = 360^\circ - 192^\circ[/tex] [subtracting 192° from both sides]
⇒ [tex]2x = 168^\circ[/tex]
⇒ [tex]x = \frac{168^\circ}{2}[/tex] [dividing both sides by 2]
⇒ [tex]x = \bf84^\circ[/tex]
Therefore, the other two angles each have a measure of 84°.
2. What is the value of x? Show your work.
can someone explain this to me? how would I find X? Thank you in advance!
Answers
Answer:
7
Step-by-step explanation:
→ Find the scale factor
30 ÷ 25 = 1.2
→ Multiply answer by 20
20 × 1.2 = 24
→ Equate equation to 24
4x - 4 = 24
→ Add 4 to both sides
4x = 28
→ Divide both sides by 4
x = 7
AN aquariums dimension are 3 1/4 x 2ft x 1 3/4. what is the volume of the aquarium
Answers
The volume of the rectangular prism aquarium = 17 1/16 ft.
What is the Volume of a Rectangular Prism?Volume of a rectangular prism = (l)(w)(h), where:
Length of the prism = lWidth of the prism = wHeight of the prism = hThe aquarium is a rectangular prism. Its dimensions are given as:
Length (l) = 3 1/4 ft
Width (w) = 3 ft
Height (h) = 1 3/4 ft
Substitute
Volume of the rectangular prism aquarium = (3 1/4)(3)(1 3/4)
Volume of the rectangular prism aquarium = (13/4)(3)(7/4)
Volume of the rectangular prism aquarium = (13 × 3 × 7)/(4 × 4)
Volume of the rectangular prism aquarium = (273)/(16)
Volume of the rectangular prism aquarium = 17 1/16 ft.
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Please help. The one answer for this question isn't right so I'll repost it. PLEASE!
Factor 30-6v-18w30−6v−18w30, minus, 6, v, minus, 18, w to identify the equivalent expressions.
Choose 2 answers:
THX ANSWER ASAP
Answers
The factor of given expression is 6(5-v-3w) and 2(15-3v-9w). correct option is c and d.
Given that factor 30-6v-18w.
Equivalent expressions are expressions that work the same way, even if they look different. If two algebraic expressions are equivalent, the two expressions have the same value if we enter the same values for the variables.
For option A
Factor the expression:
2(15-2v)≠6(5-v-3w)
get the result: False
Answer: False
For option B
Factor the expression:
3(10-3v+6w)≠6(5-v-3w)
get the result: False
For option C
Factor the expression:
6(5-v-3w)=6(5-v-3w)
get the result: True
For option D
Factor the expression:
6(5-v-3w)=2(15-3v-9w)
get the result: True
Hence, the equivalent expression of the factor 30-6v-18w is 6(5-v-3w) and 2(15-3v-9w).
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The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with one of the digits 0 through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 20 trials and got the following results.
Answers
Using the probability concept, we have that:
a) The experimental probability is of 0.75 = 75%.
b) The theoretical probability is of 0.5 = 50%.
c) As the number of trials increases, the probabilities are expected to get closer, though they might not be equal.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes. For an experimental probability, these number of outcomes are taken from previous trials. A theoretical probability is calculated before any trial, and as the number of trials increase, the experimental and theoretical probabilities get closer.
From the table, there were 20 trials, and 2 + 3 + 4 + 4 + 2 = 15 resulted in even numbers, hence the experimental probability is:
p = 15/20 = 0.75 = 75%.
For a fair machine, even and odd numbers should be equally as likely, hence the theoretical probability is of 0.5 = 50%.
For item c, we have that as the number of trials increases, the probabilities are expected to get closer, though they might not be equal.
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Use the number line to find each measure
1. 2. 3. 4. 5. 6.
Answers
Essentially just count the tick marks between the two letters.
JL= 5
JK= 3
KP= 9
NP= 2
JP= 12
LN= 5
The asked lengths are from the number line:
JK = 3, JL = 5, KP = 9, NP = 2, JP = 12 and LN = 5.
Given that is a number line we need to find the asked values,
1. JK =
K = -4 and J = -7
So, JK = -4-(-7)
JK = -4+7
JK = 3
2. JL =
J = -7 and L = -2
So, JL = -2-(-7)
JL = -2+7
JL = 5
3. KP =
K = -4 and P = 5
So, KP = 5-(-4)
KP = 9
4. NP =
N = 3 and P = 5
So, NP = 5-3
NP = 2
5. JP =
J = -7 and P = 5
So, JP = 5-(-7)
JP = 12
6. LN =
L = -2 and N = 3
So, LN = 3-(-2)
LN = 5
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How does the graph of g(x) = (x − 2)3 + 6 compare to the parent function of f(x) = x3?
g(x) is shifted 2 units to the right and 6 units down.
g(x) is shifted 2 units to the right and 6 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.
Answers
The relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.
Translation of coordinatesTranslations is a transformation technique that changes the position of an object from one point on the plane to another.
Given the function below
g(x) = (x − 2)^3 + 6
The function compared to f(x) = x^3, shows a translation of f(x) by 2 unit to the right along the horizontal and vertical translation of the function 6 units up
Hence the relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.
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Answer:
g(x) is shifted 6 units to the left and 2 units down.
Step-by-step explanation:
took the test
What is the perimeter of angle DEF to the nearest tenth of a unit?
helppppp
tysm
Answers
===========================================================
Explanation:
Let's use the distance formula to find the distance from D to E
[tex]D = (x_1,y_1) = (-7,2) \text{ and } E = (x_2, y_2) = (3,4)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-7-3)^2 + (2-4)^2}\\\\d = \sqrt{(-10)^2 + (-2)^2}\\\\d = \sqrt{100 + 4}\\\\d = \sqrt{104}\\\\d = \sqrt{4*26}\\\\d = \sqrt{4}*\sqrt{26}\\\\d = 2\sqrt{26}\\\\d \approx 10.198\\\\[/tex]
Note: uppercase D refers to the point, while lowercase d is the distance from D to E.
The length of segment DE is roughly 10.198 units long.
----------------
Repeat for the distance from E to F.
[tex]E = (x_1,y_1) = (3,4) \text{ and } F = (x_2, y_2) = (5,-7)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-5)^2 + (4-(-7))^2}\\\\d = \sqrt{(3-5)^2 + (4+7)^2}\\\\d = \sqrt{(-2)^2 + (11)^2}\\\\d = \sqrt{4 + 121}\\\\d = \sqrt{125}\\\\d = \sqrt{25*5}\\\\d = \sqrt{25}*\sqrt{5}\\\\d = 5\sqrt{5}\\\\d \approx 11.1803\\\\[/tex]
Segment EF is roughly 11.1803 units long.
----------------
Repeat for the distance from F to D.
[tex]F = (x_1,y_1) = (5,-7) \text{ and } D = (x_2, y_2) = (-7,2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(5-(-7))^2 + (-7-2)^2}\\\\d = \sqrt{(5+7)^2 + (-7-2)^2}\\\\d = \sqrt{(12)^2 + (-9)^2}\\\\d = \sqrt{144 + 81}\\\\d = \sqrt{225}\\\\d = 15\\\\[/tex]
Unlike the others, this result is exact.
----------------
Add up the three segment lengths to get the perimeter
DE + EF + FD
10.198 + 11.1803 + 15
36.3783
The perimeter is approximately 36.3783 units which rounds to 36.4
The answer has been confirmed with GeoGebra.
Given that 3 is a root of a given polynomial, what can you say is a factor of that polynomial?
Answers
The factor of such equation described as having the number 3 as a root can be determined as; (x-3).
What is a possible factor of a given polynomial whose root is 3?It follows from the task content that; we are required to determine a possible factor of a polynomial in the event that such polynomial has a root of 3.
The implication of a polynomial having a root of 3 is that; such a polynomial has 3 to be one of it's zeros.
Hence, a linear equation which holds for such polynomial is that; x = 3 and when expressed as a linear factor, the linear factor is; (x-3).
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