Answer:
All results in the explanation
Step-by-step explanation:
To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).
First, find the slope of the line:
We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
Substituting:
[tex]\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}[/tex]
This value is used in the slope-point form of the line:
[tex]\displaystyle y-k=\frac{5}{4}(x-h)[/tex]
Where (h,k) is a point from the table, select for example (3,9):
[tex]\displaystyle y-9=\frac{5}{4}(x-3)[/tex]
Operate:
[tex]\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9[/tex]
[tex]\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}[/tex]
The equation of the line is:
[tex]\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}[/tex]
Now complete the table.
For x=0:
[tex]\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}[/tex]
[tex]y=\frac{21}{4}[/tex]
For x=15
[tex]\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}[/tex]
[tex]\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24[/tex]
y=24
For y=1.5, find x:
[tex]\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}[/tex]
Operate:
[tex]\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x[/tex]
Multiply by 4:
[tex]\displaystyle 6-21=5 x[/tex]
Solve:
[tex]x=-15/5=-3[/tex]
x=-3
Answer:
All results in the explanation
Step-by-step explanation:
To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).
First, find the slope of the line:
We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
\begin{gathered}\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\end{gathered}m=x2−x1y2−y1
Substituting:
\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}m=3+19−4=45
This value is used in the slope-point form of the line:
\displaystyle y-k=\frac{5}{4}(x-h)y−k=45(x−h)
Where (h,k) is a point from the table, select for example (3,9):
\displaystyle y-9=\frac{5}{4}(x-3)y−9=45(x−3)
Operate:
\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9y=45⋅x−45⋅3+9
\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}y=45⋅x+4−15+36
The equation of the line is:
\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}y=45⋅x+421
Now complete the table.
For x=0:
\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}y=45⋅0+421
y=\frac{21}{4}y=421
For x=15
\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}y=45⋅15+421
\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24y=475+421=496=24
y=24
For y=1.5, find x:
\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}1.5=45⋅x+421
Operate:
\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x1.5−421=45⋅x
Multiply by 4:
\displaystyle 6-21=5 x6−21=5x
Solve:
x=-15/5=-3x=−15/5=−3
x=-3
A toy rocket is launched vertically upward from a 12 foot platform with an
initial velocity of 128 feet per second. Its height h, at time t seconds after
launch is given by the equation h(t) = -16t^2 + 128t +12 . How long will it
take the rocket to reach the ground?
Answer:
4 mins
Step-by-step explanation:
The time taken by the rocket to reach the ground is 8 seconds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The toy rocket is launched from a platform
The height of the platform = 12 feet
The initial velocity of the rocket = 128 feet / second
Let the height of the launch be = h
Let the time taken by the rocket be = t
The height after the launch after t seconds is given by the equation
h ( t ) = -16t² + 128t + 12
Now , for the rocket to reach the ground , the equation will be
h ( t ) = -16t² + 128t
Since , it is launched from the 12 foot platform , the equation will be
h ( t ) = -16t² + 128t
The height of the rocket on reaching the ground h ( t ) = 0
Substituting the value of h ( t ) in the equation , we get
h ( t ) = -16t² + 128t
0 = -16t² + 128t
16t² - 128t = 0
16t ( t - 8 ) = 0
t - 8 = 0
Adding 8 on both sides , we get
t = 8 seconds
Hence , the time taken by the rocket to reach the ground is 8 seconds
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In the diagram below, l || m and QR perpendicular ST at R.
If m<1 = 63. find m<2
Answer:
m<2 = 27°
Step-by-step explanation:
m<1 = 63° (given)
m<QTR = m<1 (alternate interior angles are congruent)
m<QTR = 63° (Substitution)
m<QRT = 90° (right angle)
m<2 + m<QRT + m<QTR = 180°
m<2 + 90° + 63° = 180° (substitution)
m<2 + 153° = 180°
Subtract 153° from each side
m<2 = 180° - 153°
m<2 = 27°
In the figure, if AC = 13 cm, then the length of the median BD =
Answer:
Length of AD = 6.5 cm
Step-by-step explanation:
Given:
AC = 13 cm
Find:
The length of the median BD
Computation:
Median = Length of side / 2
Median = 13 / 2
Median = 6.5 cm
So,
Length of AD = 6.5 cm
What is the y-intercept of the function f(x) = -2/9x + 1/3
-2/9
-1/3
1/3
2/9
Answer:
Step-by-step explanation:
-1/3
Determine the degree of each monomial.
4
Degree:
1
2z
Degree:
472st3
Degree:
3.xyz
Degree:
DONE
Answer:
0, 1, 6, 4, second part: 4, Third part: 4 and 7
Step-by-step explanation:
...
Answer: the person above is correct
what is the domain of f?
Answer: -5 < 6
Hope it helps
Suppose BD bisects ABC. If m ABD = 12x+24 and m DBC = 20x +16 what is m ABC?
Answer:
The measure of ABC is 72
Step-by-step explanation:
if the angle ABC is bisected, it means that the two angles ABD and DBC are equal;
Thus;
12x + 24 = 20x + 16
20x -12x = 24-16
8x = 8
x = 1
The measure of angle ABC is the sum of the two angles
ABC = 12x + 24 + 20x + 16
ABC = 32x + 40
Substitute x = 1
ABC = 32(1) + 40
ABC = 72 degrees
The slope of the line that passes through the points (1,-6) and (-8,5) is
1/6 8/5
...................................................................................................................................................
6/1 5/8
if you answer this question your cool
Answer:
D. 40
Step-by-step explanation:
Triangles add up to 180 degrees so...
110 + 30 + x = 180
140 + x = 180
x = 40
Yeah Ik!
You're cool too!
Could someone also help me out on this please?
Answer:
A
Step-by-step explanation:
When cross multiplied they equal the same thing
ANSWER PLEASE!!!!!!!!!!
if 5 hamburgers cost $12.50 how much would 12 hamburgers costs?
Answer:
$30
Step-by-step explanation:
12.50/5=2.50
2.50*12=30
I’ll mark brainliest this is 10 points!!!
Question: If p and q are integers, then all of these quotients are equivalent, except....?
Answer:
C
Step-by-step explanation:
We can fill in the negative in front of the parenthesis with a one. So you'd be multiplying -1 by your negative fraction. A negative times a negative makes a positive. So that would be the only answer that's a positive.
Determine the preferred width of each class if you use 8 classes, a high of 87, and a low of 2. (this is a statistics question)
A. 15
B. 13
C. 11
D. 10
Answer:
11 ; C
Step-by-step explanation:
To get the class width, we start by finding the range of the data set
That will be; the highest number - the smallest number
= 87-2 = 85
We proceed by dividing the number of classes we want by this number
That will be 85/8 = 10.625
We now proceed to approximate this value to the nearest whole number = 11
Hence , 11 is the class width to use
Evaluate f (x)2- 3x+2 given f (x+1)
Answer:
Solve for f by simplifying both sides of the equation, then isolating the variable.
f(x)=−3x+4f(x)=-3x+4
Given the following diagram, find the required measure.
Given: / l l m
m<1 = 140°
m<3 = 50°
Answer:m<2=
A.40
B.140
C.90
D.50
Answer:
m∠2 = 40°Step-by-step explanation:
m∠2 = 180 - 140
m∠2 = 40°
Answer:
m∠2 = 40°
Step-by-step explanation:
Simplify by factoring out the gcf only answer if you’re sure about the awnser ;)
Answer:
−3⋅(7n+1)
Step-by-step explanation:
The gcf is 3
Evaluate the following expressions for
M= -3
N= 4
P= 2
Answer:
-8
Step-by-step explanation:
p²+mn
2²+-3(4)
4+-12
-8
Answer:
The answer is -8
Step-by-step explanation:
p^2+mn
2^2+(-3)(4)
4+-12
-8
The amount of money left in Alma's bank account is expressed by the linear equation y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account? 12 weeks 16 weeks 22 weeks 26 weeks
Given:
The linear equation is
[tex]y=-27x+577[/tex]
where x represents the number of weeks and y represents the amount of money left in Alma's account.
To find:
The number of weeks in which Alma have $145 left in her account.
Solution:
We have,
[tex]y=-27x+577[/tex]
Substitute y=145, we get
[tex]145=-27x+577[/tex]
Subtract both sides by 577.
[tex]145-577=-27x[/tex]
[tex]-432=-27x[/tex]
Divide both sides by -27.
[tex]\dfrac{-432}{-27}=\dfrac{-27x}{-27}[/tex]
[tex]16=x[/tex]
So, the number of required weeks is 16. Therefore, the correct option is B.
Answer:
B
Step-by-step explanation:
Right on edge 2020
♦HURRY PLEASE!!! ♦
↓
Don't worry about the answer choice that is highlighted : )
Answer:
It's 3
Step-by-step explanation:
Bc it's placed before and it's multiplying the variable in the algebraic expression
What is the value of x? Enter only the number in the box! Help Asap
Answer:
x = 5
Step-by-step explanation:
90 - 55 = 35
8x - 5 = 35
+5 +5
8x = 40
x = 5
A pool is being drained at a rate of 7200 gallons per hour. What is this rate in gallons per minute?
HINT: 60 minutes = 1 hour
Answer:
120 gallons per minute
Vertex form
Y=3x^2+12x+8
Answer:
y = 3 ( x + 2 ) 2 − 4
Step-by-step explanation:
what is the distance between (4, 7) and (2, 2)
a.) [tex]\sqrt{10}[/tex]
b.) [tex]\sqrt{29}[/tex]
c.) 8
d.) 9
2. A farmer sells half of his yearling calf herd at the local stockyards. His average weight for each of the 30 head sold was 575 lbs. He received $2.27 per pound for the calves . He paid a sales commission of 3%,a yardage fee of $2.00 per head, along with a hauling fee of $210. What is the amount of the check he will receive? a. $37,712.77 b.$39,157.50 c. $40,062.23 d.$40,601.72
Answer:
A
Step-by-step explanation:
Cause it right and pls dont remind me
How would you graph x > 0 on a number line?
А
Draw an open circle over 0, and shade the arrow to the right.
B
Draw a closed circle over 0, and shade the arrow to the right.
С
Draw an open circle over 0, and shade the arrow to the left.
D
Draw a closed circle over 0, and an open circle over 10.
Answer:
A
Step-by-step explanation:
The correct way to graph x > 0 on a number line is option B) Draw a closed circle over 0 and shade the arrow to the right.
In this case, the inequality x > 0 represents all values of x that are greater than zero. By placing a closed circle on zero, we include the value of zero in the solution set. The shading of the arrow to the right indicates that all values greater than zero are included in the solution.
Since the inequality is strict (x > 0), we use a closed circle to represent zero, indicating that zero is part of the solution set. An open circle would be used if the inequality was non-strict (x ≥ 0), excluding zero from the solution set. However, in this case, zero is included, so a closed circle is used.
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Find the perimeter of the figure to the nearest hundredth.
Answer:
26.86
Step-by-step explanation:
P = 5 + 7 + 7 + C {divided by} 2
C = d {times} π
= 5 {times} 3.14
≈ 15.71
P = 19 + 15.71 {divided by} 2
= 19 + 7.855
= 26.855
≈26.86
On the last day of the fiscal year, a co-worker asks you to cut a check for $2,000 as a miscellaneous expense for supplies in order to complete a project for a VIP customer today. You notice the invoice looks a little different from other invoices that are usually processed. You know that by preparing the closing entries tomorrow, the miscellaneous expense will be set to zero for the beginning of the year. Should you write this check today and record the expense or write the check tomorrow? How would the company be affected if the check is written and the invoice ends up being erroneous?
Answer:
A. No, Should not in any way write the check today and neither record the expense or even write the check tomorrow.
B. The company will be affected if the check
was cut today and the expense was not recorded, which means that the net income of the current fiscal year will be increased by the amount of $2,000 while the net income of the next year will be reduced by the amount of $2,000 and this tend to happens due to some error.
Step-by-step explanation:
A. Based on accounting principle every debit entry must have a corresponding credit entry which means that in a situation where a check is been cut today for miscellaneous expense and for supplies the Miscellaneous expense account should be debited while the bank account should as well be credited based on the double entry principle because if not so the current year net income will wrongly shows and be higher with the amount of $2,000.
B. In a situation where the check was cut today and expense was recorded the following day or tomorrow it means that the current year financial statement net income will be increased by the amount of $2,000 while the amount shown in the balance sheet will decreased by the amount of $2,000.
Therefore I can issue a check today and as well record the expense the same day in which the check was issued.
Following are the solution to the given question:
When an invoice appears to just be distinct from those other bills which are typically handled, this should be filtered once the accountant receives the necessary verification regarding its accuracy/validity.This expense must be noted as well as the check must be written only after sufficient proof of its legitimacy/accuracy has indeed been acquired. This is possible to do it now and tomorrow, but after ensuring that the bill is right. If the accountant has been unable to gather relevant data or evidence through that he or she is uncertain about the accuracy of the invoice as of today, the expense must be recorded as well as the check is written today only after being certain the invoice is correct.Whereas if cost is reported today as well as the check was made, this will increase the overall cost for the current year now and reduce the operating earnings again for the current quarter. Whether it is later discovered that this invoice was incorrect, a reverse of accounting point of view for this invoice must be posted, reducing the expense for the following year and raising the net income for the next month.When an expense is recorded in the current year and subsequently reversed in the following year (due to an incorrect invoice), the income for the current year will be understated, while the income for the following year would be overstated by the amount of the cost.Furthermore, so because the cheque was written yesterday in the current year, the cash/bank balance will be recorded as lowered by the amount of this check for the current year. Whenever the check is reversed the following year, its cash/bank balance would be tallied with cash/bank balance as recorded by the bank.Learn more:
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A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.50 per slice of pizza. Aaliyah purchased a membership to this pizza shop. How much would Aaliyah have to pay the pizza shop if she bought 6 slices of pizza this month? What would be the monthly cost for x slices of pizza?
Answer:
$1.50x6=$9+$25=$34
Step-by-step explanation:
or if its multiply 1.50 x 6 = 9 x 25 =225
Profits at Lin's Pastry shop increased by $1,750 in one 7-day week. By how much did profits increase each day?
Answer:
250
Step-by-step explanation:
HELP ME PLS OMG pLS PLS PLS PLS ASAP ASAP PLS
Answer:
c
Step-by-step explanation:
Answer:
A.-B
B.-B.
C.-A.
Step-by-step explanation:
