Answer:
[tex]\displaystyle y = \frac{1}{4}\, x + 2[/tex].
Step-by-step explanation:
The question is asking for the slope-intercept equation of a line. The slope-intercept form equation of a line is in the form [tex]y = m\, x + b[/tex], where:
[tex]m[/tex] (a constant) is the slope of the line, and[tex]b[/tex] (also a constant) is the [tex]y[/tex]-intercept of that line.For example, the equation of the first line, [tex]y = -4\, x + 1[/tex], is given in slope-intercept form. The slope of that line is [tex]m_{1} = (-4)[/tex] while the [tex]y[/tex]-intercept of that line is [tex]b_{1} = 1[/tex].
Both [tex]m[/tex] and [tex]b[/tex] need to be found for the second line.
Start by finding the slope [tex]m_{2}[/tex] of the second line.
Make use of the fact that if two lines in a plane are perpendicular to one another, the product of their slopes would be [tex](-1)[/tex]. In other words, if a line with slope [tex]m_{1}[/tex] is perpendicular to a line with slope [tex]m_{2}[/tex], then [tex]m_{1}\, m_{2} = (-1)[/tex]. Rearrange to obtain [tex]m_{2} = (-1) / m_{1}[/tex].
In this question, since the slope of the first line is [tex]m_{1} = (-4)[/tex], the slope of the second line (perpendicular to the first line) would be [tex]m_{2} = (-1) / (-4) = (1/4)[/tex].
Thus, the equation of the second line would be of the form [tex]\displaystyle y = (1/4)\, x + b_{2}[/tex] for some constant [tex]b_{2}[/tex] that needs to be found.
Make use of the fact that the second line goes through the point [tex](-4,\, 1)[/tex] to find the value of [tex]b_{2}[/tex]. Since the point [tex](-4,\, 1)\![/tex] is on the second line, the equation of the second line should hold after substituting in [tex]x = (-4)[/tex] and [tex]y = 1[/tex]. That is:
[tex]1 = (1/4)\times (-4) + b_{2}[/tex].
Solve this equation for [tex]b_{2}[/tex]:
[tex]b_{2} = 2[/tex].
Therefore, the equation of the second line would be [tex]y = (1/4)\, x + 2[/tex].
How many times louder is a 60-dB sound than a 10-dB sound? DB is calculated by taking [tex]10\frac{db1}{10} /\frac{db2}{10} \\[/tex]
Please help. Don't scroll down.
Answer:
cabinets A produced is 10.total cabinet produced is 80 cabinets.explanation:
Let numbers of cabinets A produced be x.then cabinet B will be [tex]\frac{1}{2} x+30[/tex]then cabinet C will be [tex]\frac{3}{2} x+20[/tex]If cabinet B and C was of same amount, they should be the same:
[tex]\frac{3}{2} x+20[/tex] = [tex]\frac{1}{2} x+30[/tex][tex]\frac{3}{2} x-\frac{1}{2} x = 30-20[/tex][tex]\frac{3x-x}{2} =10[/tex][tex]2x =2(10)[/tex][tex]x =10[/tex]So the cabinets A produced is 10 cabinets of type A.
total cabinets:
[tex]x+ \frac{1}{2} x+30+ \frac{3}{2} x+20 \\[/tex][tex]10+ \frac{1}{2} (10)+30+ \frac{3}{2} (10)+20[/tex][tex]80[/tex]Answer:
hello there
Your answer is
cabinets A produced is 10.total cabinet produced is 80 cabinets.
Hope it’s helps you Buddy
Step-by-step explanation:
~Awesome Zayn
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
$165
Step-by-step explanation:
....................
18 + 1/2 x (9-4) which statement describes this expression?
A: Half the difference of 4 from 9 added to 18
B: subtract half the quantity of 9 and 4 from 18
C: the sum of 18 and half the product of 9 and 4
D: half of 9 added to 18 minus 4
Answer:
A: Half the difference of 4 from 9 added to 18
Step-by-step explanation:
On a map, two houses are 70 centimeters apart. The scale of the map is 1 centimeter = 3.5 meters. What is the actual distance between the houses?
The scale is 1 cm = 3.5 m
To find the actual distance multiply the total cam’s by 3.5:
70 x 3.5 = 245 meters
Answer: 245 meters
Jaime needs to buy a new refrigerator for his apartment. He found what he needed for $1,300 at a well-known appliance store. The store is offering two options for Jaime to finance the appliance:
Option I: A store credit card with a $1,500 limit:
1) The credit card charges 16.5% annual interest rate.
2) The minimum monthly payment is $100 plus the monthly finance charge.
3) No down payment required
4) The loan is expected to be paid off in12 months to avoid additional penalties.
Option II: The appliance store offers an installment loan for his purchase:
1) Loan charges a simple interest rate of 12.5%.
2) Loan must be paid off in 12 equal payments to avoid penalties.
3) A $300 down payment is required.
Jamie should accept the second option to buy a new refrigerator for his apartment.
What is the annual interest rate?The annual interest rate on an amount borrowed or a loan is the increment added to the loan at a particular rate over the desired period of time.
The objective of this question is to weigh the two options and determine the best means by which Jamie could get a new refrigerator for his apartment.
Option 1:
The annual interest rate for the first card = $1300 × 16.5%
The annual interest rate = $214.5
The minimum monthly payment is $100 plus the monthly finance charge.The monthly finance charge on a credit card can be estimated by finding the average daily balance using the Annual interest rate and the days of the billing cycle.
The monthly finance charge [tex]\mathbf{=1300\times \dfrac{0.165}{12}}[/tex]
The monthly finance charge = $17.88
Now,
The minimum monthly payment is $100 + $17.88
The minimum monthly payment for the first month = $117.88
Provided there is no down payment;In 12 months, Jaime would have paid off the loan with an additional interest of $214.5
Total amount paid = ($117.88 × 12)+$247.5
= $1629.06
Option 2.
The appliance store offers an Installment loan;
The loan charges a simple interest rate of 12.5%;Using;
[tex]\mathbf{S.I = \dfrac{PRT}{100}}[/tex]
Since the loan must be paid in 12 equal payments, we can say the loan is paid monthly which is equivalent to 1 year.
i.e.
Time (T) = 1 year[tex]\mathbf{S.I = \dfrac{1300 \times 12.5 \times 1}{100}}[/tex]
S.I = $162.5
Given that;
The down payment = $300In the total amount of $1300, Jamie has an outstanding amount of $1000 to pay.
Thus, In 12 equal payment times,
Jamie gets to pay = $1000/12
Jamie gets to pay = $83.33 each time.
Total amount paid = $162.5 + 1300
Total amount paid = $1462.5
Therefore, we can conclude that Jamie should accept the second option to buy a new refrigerator for his apartment since the total amount paid in option 2 is lesser than that of option 1.
Learn more about the annual interest rate here:
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which property justifies a+b+0=a+b
It is the additive identity property of zero.
Please answer the question in the picture
Answer:
D) (x+2) (x+2)
Step-by-step explanation:
Answer:
EZ(we're doing this right now): (x+2)(x+2)
Step-by-step explanation:
Let's factor x2+4x+4
x2+4x+4
The middle number is 4 and the last number is 4.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 4
Multiply together to get 4
Can you think of the two numbers?
Try 2 and 2:
2+2 = 4
2*2 = 4
Fill in the blanks in
(x+_)(x+_)
with 2 and 2 to get...
(x+2)(x+2)
Answer:
(x+2)(x+2)
Reflect the figure over the line y
=x+1
Answer:
Points of the triangle: (-6, 3) (-3, 9) (-7, 8)
Step-by-step explanation:
(2, -5) → (-6, 3)
(8, -2) → (-3, 9)
(7, -6) → (-7, 8)
Can someone check this?
t = 0.06p
================================================
Explanation:
If we plugged in p = 2, then,
t = 0.06*p = 0.06*2 = 0.12
Showing that the point (2, 0.12) is on the diagonal line of the equation t = 0.06p
This matches with what the graph shows.
The y axis is incrementing by $0.025, aka 2.5 cents, each tickmark upward. Counting up 5 tickmarks will get you to $0.125 or 12.5 cents which is fairly close to 12 cents.
When you divided the x and y values to find the constant of variation, you divided in the wrong order. You should do y/x instead of x/y.
Dave receives 10% commission on his first
$5,000 in sales and receives 20% commission on
any sales beyond the first $5,000. If Dave sells
$7,000 this month, what will Dave's commission
be for the month?
A. $700
B. $900
C. $1,400
D. $2,100
someone please help!! i would be so thankful! thx to who ever does (hurry please)!
A book publisher publishes both fiction and nonfiction books. Let F represent the number of words, per chapter, for fiction books, and let N represent the number of words, per chapter, for nonfiction books. The standard deviation of the total amount, S = F + N, is 195.3 words. What is the interpretation of this value?
The mean number of words per chapter will vary from book to book.
On average, there are 195.3 words total in a typical chapter of either genre of book.
This publisher can expect the total number of words per chapter to vary by approximately 195.3 words from the mean.
If we combine the fiction and nonfiction books from this publisher, the average number of words per chapter will change by 195.3.
Answer:I think it’s C
Step-by-step explanation:don’t hate if I’m wrong it’s better than the “I forgor” kid:/
Each player on a softball team will get a uniform with a randomly selected
number between 1 and 30. No two players will have the same number.
The first player to get a uniform thinks the probability that she will
get a single-digit number is 10 Is the player correct? Explain
your reasoning.
9
Answer:
no she is incorrect!
Step-by-step explanation:
there are 30 shirts so the probabilty will be out of 30%
how many values are in the range 17 to 118?
A- 102
B- 135
C- 100
D- 67.5
Answer:
C- 100 values
Step-by-step explanation:
Answer:
102
Step-by-step explanation:
118-17+1 = 102
Please answer both question fully.
Step-by-step explanation:
Part AAngle measures:
a = x = z = 51° (as vertical angles and corresponding angles)b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)Part BSupplementary angles for a linear pair and sum to 180°.
Examples are:
a and b or a and d orx and y etc.Solution:
Given:
An angle which measures 51°Using the given measure of an angle, we can identify all the angles.
a° = 51° (Vertically opposite angles)b° = 180 - 51 = 129° (180° angle)d° = b° = 129° (180° angle)w° = 129 (Alternate inner angles)x = a = 51° (Alternate inner angles)z = x = 51° (Vertically opposite angles)w = y = 129° 9 (vertically opposite angles)We can tell that:
a = x = z = 51°b = d = w = y = 129°Supplementary angles are pairs of angles that sums up to 180°.
Example of supplementary angle:
∠a and ∠b are supplementary angles because they sum up to 180°.Write acute right or obtuse
Answer:
3 is acute, 4 is obtuse
Step-by-step explanation:
3, all angles are less than 90 degrees
4, one of the angles (M) is more than 90 degrees
Answer:
3. Acute angle
4. Obtuse angle
15 points!!
I need 10-18 if you know any please help me out!!
Step-by-step explanation:
10.
angle QUR must be 180-41 = 139°
the reason : all angles on one side of the line QS around a single point (like U) must be 180°, as this represents a half-circle.
11.
the angle RUQ is larger.
the angle TUS is 90°.
therefore, SUN is 90° too. as well as TUQ and QUN.
the angle TUR is then TUS + 41 = 90+41 = 131°
and we know from 10. that QUR (or RUQ) is 139°.
therefore, RUQ is larger.
12.
when 2 lines cross, then the diagonally opposing angles are identical.
therefore,
84 = 4x
x = 21
13.
the same principle as in 10. applies.
all angles in one side of a line around a single point must be 180°.
so,
KMH + 84 = 180
KMH = 96°
14.
EBD = 90°
therefore, also ABE = 90°.
and we can imagine that BE extends straight to the other side of B having a point G there.
and then ABG = DBG = 90° as well.
and because these 90° angles and the principle of 12., we have
ABF = CBD = 90-62 = 28°
therefore,
CBE = CBD + DBE = 28 + 90 = 118°.
15.
ABF = 28°
as we calculated that in 14 already.
16.
due to the principles of 14 and 10 we have
CBA = 180 - CBD = 180 - 28 = 152°.
17.
this is not relevant to any of the pictures before.
angle A = angle B + 4
complementary angles are together 90°.
so,
A + B = 90
now we use the identity of the first equation in this main equation :
(B + 4) + B = 90
2B + 4 = 90
2B = 86
B = 43°
=>
A = B + 4 = 43 + 4 = 47°
18.
again, this is not related to any of the pictures before.
supplementary angles are together 180°.
D = 5E
D + E = 180
5E + E = 180
6E = 180
E = 30°
=>
D = 5E = 5×30 = 150°
Your friend wants to sell painted rocks. He spends $10.00 on startup costs, and each painted rock costs him $0.75 to make. A store offers to pay your friend's startup costs and buy his painted rocks for $0.75 each. How many painted rocks does your friend need to sell to make a profit?
1 rock
10 rocks
14 rocks
Your friend will never make a profit.
Answer:
10 rocks
Step-by-step explanation:
The cost on startup is $10 and each painted rock cost around $0.75 to make. A store pays startup cost and buy painted rocks for $0.75 each there no profit because the cost price and selling price is the same.
what does 118=k+70 answer?
[tex]118 = k + 70 \\ 118 - 70 = k \\ 48 = k[/tex]
Answer: 48
Step-by-step explanation:
You do opposite operations, so instead of adding 70, you subtract subtract it- 118-70=k+70-70. You do it to both sides to keep the equation balanced. Simplify to get 48=k.
What’s the correct answer for this question?
Answer:
Top left: 0.32
Top right: 0.35
Bottom left: 3.13
Bottom right: 2.86
Step-by-step explanation:
For the small box, we will divide 4.48 by 14 to get the answer for the top left box, and we will divide 14 by 4.48 to get the answer to the bottom left box.
For the large box, we will divide 9.1 by 26 to get the answer for the top left box, and we will divide 26 by 9.1 to get the answer to the bottom left box.
4.48/14 = 0.32
14/4.48 = 3.125, or as rounded to the nearest hundredth, 3.13.
9.1/26 = 0.35
26/9.1 = 2.85714285714 or as rounded to the nearest hundredth, 2.86.
So there you go.
What is the product of (-4)(-5)(3)
Answer:
60Step-by-step explanation:
= (-4)*(-5)
= -4*(-5)
= -4*-5 Negative times a negative is positive
= 20
= 20(3)
= 20*3
= 60
What do i do with these?
Answer:
27/12 + 40/12 = 57/12 = 3 9/12 = 3 3/4
Step-by-step explanation:
you have to find the LCD, (Lowest Common Denominator), then add up the fractions as so
After earning your first $1000, you deposit the whole amount—$1000—into an account that grows at an interest rate of 12% annually. The earned interest is calculated and added to the account once a year.
Which function represents the amount of money in the account after t years?
(Assume that you do not make any additional deposits or withdrawals.)
Answer:
b f(t)=1000(0.12)ť
Step-by-step explanation:
Also that 1000 dollars will be 1,120 because of interest
Look at the picture this thing doesn’t make sence
Answer:
C.
Step-by-step explanation:
power to a power u multiply
which binomial must be added to (-2r+12) so the the sum of 2 polynomial is (6r-7)
a.) 4r-19
b.) 4r+5
c.) 8r-19
D.)8r+5
Answer:
c) 8r - 19
Step-by-step explanation:
Subtract 6r - 7
- -2r + 12
= 8r - 19
Answer:8r-9 or c
Step-by-step explanation:
What solution value satisfies the compound inequality x - 1 < -7 or x/4 > 1?
Answer:
x < -6 or x > 4
Step-by-step explanation:
Now, this is an OR inequality, so two separate equations are involved.
x - 1 < -7
Here, we need to add -1 to -7, which results in -6. And there's side one!
x < -6
Now for side two of this inequality.
x/4 > 1
Here, we'll multiply both sides by 4. And now, both sides are solved.
x > 4
The solution values (rather than value) that satsify the equation are x < -6 or x > 4 (so, anything between (and including) -6 and 4 will not work).
The perimeter of a square is 28x − 4. What is the length of one side of the square?
y
4
3-
2
1
1
2
-4
-3
-2
-1
1
2
3
4
-1-
-2-
-3-
-4
What is the slope of the line?
Answer:
no x values?
no line equation?
Step-by-step explanation:
i don't think you can find the slope without x values. the formula to find the slope of a line is:
(y1 - y2) / (x1 - x2)
Which of the following is not a valid reason for a dealership to offer incentives? A. Move inventory B. Meet quotas C. Gain customers D. Meet state regulations
Answer:
the answer is D.meet state regulations
The following is not a valid reason for a dealership to offer incentives is Meet state regulations.
What is Dealership Incentive?Manufacturers utilise dealer incentives as a financial tactic to encourage dealers to sell their goods by providing price reductions on those goods. Dealer incentives might come in the form of a lower purchase price for the dealer, a cash payment, or a financial incentive, such a consumer refund.
A moving inventory list is a document that lists every item you'll be transporting from your current location to your new one.
A quota is a predetermined number of sales or other tasks that you must do within a specific time frame.
So, the term which is not related to Meet state regulations.
Learn more about Dealership Incentive here:
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will give 50 points!!
What is the length of the line segment PQ on the coordinate grid?
A four-quadrant coordinate grid from negative 50 to positive 50 in increments of 10 is drawn. Point P is plotted on the ordered pair negative 20, 30. Point Q is plotted on the ordered pair 30, 30. The points are connected by a line.
10 units
20 units
30 units
50 units
Answer:
50 units
Step-by-step explanation:
The y-coordinate of both points is 30. Therefore, the line connecting the points is horizontal. To calculate the length of the line segment PQ, simply subtract the x-coordinate of point P from the x-coordinate of point Q:
30 - -20 = 3 + 20 = 50
Answer: 50 units
Step-by-step explanation: