Answer:
[tex]7 + a = \sqrt{7b + c}[/tex] --- equation
[tex]a = 3; b =5\ and\ c = 65[/tex] --- the equation is true for these values
[tex]a = 4; b=5\ and\ c = 10[/tex] --- the equation is extraneous for these values
Step-by-step explanation:
Given
[tex]x +2 = \sqrt{3x + 10[/tex]
[tex]x + a = \sqrt{bx + c}[/tex]
Solving (a): Equation to solve for a, b and c, using trial by error where [tex]x = 7[/tex]
We have:
[tex]x + a = \sqrt{bx + c}[/tex]
Substitute 7 for x
[tex]7 + a = \sqrt{7b + c}[/tex] --- This is the equation
Solving (b): Solve for a, b and c --- to make the equation true
[tex]7 + a = \sqrt{7b + c}[/tex]
Let a = 3 ----- Here, we choose a value for a
[tex]7 + 3 = \sqrt{7b + c}[/tex]
[tex]10 = \sqrt{7b + c}[/tex]
Square both sides
[tex]100 = 7b + c[/tex]
Let b = 5 --------- Here, we choose a value for b
[tex]100 = 7*5 + c[/tex]
[tex]100 = 35 + c[/tex]
Subtract 35 from both sides
[tex]c = 65[/tex]
So, [tex]x + a = \sqrt{bx + c}[/tex] is true for
[tex]a = 3; b =5\ and\ c = 65[/tex]
Solving (b): Solve for a, b and c --- to make the equation false
[tex]7 + a = \sqrt{7b + c}[/tex]
Substitute [tex]a = 4; b=5\ and\ c = 10[/tex]
So, we have:
[tex]7 + 4 = \sqrt{7*5 + 10}[/tex]
[tex]11 = \sqrt{35 + 10}[/tex]
Square both sides
[tex]121 = 45[/tex] --- This is false
i.e.
[tex]121 \ne 45[/tex]
Edgar has a business painting Lines on the Highway. His workers can pay online 1/6 of my along every 10 minutes. At the end of an eight-hour workday, how many miles of wine will his workers have painted.
Answer:
8 miles
Step-by-step explanation:
In every 10 minutes, the workers paint 1/6 miles
Total number of minutes in 8 hours = 8 *60 = 480
Number of ten minutes in 480 minutes = 48
total miles of wine painted = 1/6 * 48 = 8 miles
PLZ ANSWER AND EXPLAIN IN DETAIL !!!!
Answer:
720 liters
Step-by-step explanation:
In 2019 (a non-leap year)
January has 31 days
February has 28 days
March has 31 days
The Total number of days is 90 days
Each day shows a consumption rate of 8 liters / day
Total consumption = 8 * 90 = 720
At a grocery store, you want to buy lb of 2 1/2cheese What decimal should the digital scale show
Answer:
The tenths place.
Step-by-step explanation:
If you want to buy 2 1/2 lb of cheese, you want to buy 2.5lbs. The tenths place is the first place after the decimal, and the place the scale needs to show to show you 2.5lbs.
Answer:
tenths place
Step-by-step explanation:
y=−x+4
y=x−2
What is the solution for the system of equations?
Step-by-step explanation:
y=-x+4
y=x-2
adding both the equations we get
2y=2
:. y=1
and putting the value of y in equation first we get
x=3
What is the direct variation between x and y when x=7 and y=3 1/2?
Answer:
[tex]{ \tt{y \: \alpha \: x }} \\ { \tt{y = kx}} \\ \\ { \bf{3 \frac{1}{2} = k \times 7 }} \\ { \bf{k = \frac{1}{2} }} \\ \\ { \tt{y = \frac{1}{2}x }} \\ \\ { \tt{y = 0.5x}}[/tex]
What’s the answer to this ?
Answer:
a
Step-by-step explanation:
Answer:
I am pretty sure its B
Step-by-step explanation: not sure though
in what ratio we increase 900 to get 1200
Answer:
4:3
Step-by-step explanation:
Let's say that the number we multiply to get to 1200 from 900 is x.
900x=1200
Now, we divide both sides by 900:
x=1200/900
x=4/3
The number is 4/3. In ratio form, this is 4:3
Answer:
3 : 4
Step-by-step explanation:
900 : 1200
= 30 x 30 : 30 x 40
= 30 : 40
= 3 x 10 : 4 x 10
= 3 : 4
2+4 = 8 and ½ + ½ = 1 is an example of which type of statement?
Answer:
it is an example of conditional statement.
hope it helps
I need help please!!!
Answer:
answer is line m........
CAN SOMEONE PLEASE HELP?!
Answer:
70in.
Step-by-step explanation:
Since the given formula for perimeter is [tex]2l + 2w[/tex], all that's needed is to fill in the blanks with the numbers they give us.
[tex]2l + 2w[/tex] (Fill in for given length and width)
[tex]2(20)+2(15)[/tex] (Multiply)
[tex]40 + 30[/tex] (Add)
[tex]70[/tex]
It tells us that length ([tex]l[/tex]) is 20 and that width ([tex]w[/tex]) is 15. So all that we have to do is use the equation it gave us to solve the equation.
I hope this helped :)
Step-by-step explanation:
Hey there!
Here;
Length (l) = 20 in
Width (w) = 15 in
Perimeter(p) = ?
We have;
Perimeter of rectangle (p) = 2l + 2w
= 2(l+w)
= 2(20+15)
= 2*35
= 70 inches
Therefore, perimeter of rectangular picture is 70 inches.
Hope it helps!
help help help help help
Step-by-step explanation:
press the picture to see the answer I swear it has a solution too
Car price $118,191
Percent for car loan: 2.49%
36 months
Find monthly payment show work
Answer:
3410.64
Step-by-step explanation:
Gonna assume that the 2.49 is the APR
present value of the loan= present value of the payments
effective rate: .0249/12= .002075
x= payment
[tex]118191=x\frac{1-(1+.002075)^{-36}}{.002075}\\118191=34.6536494355x\\x=3410.63645317[/tex]
Find the equation of a line with a slope of -9, passing through the point (1, -3). Enter
this equation in slope/y-intercept form in the blank
Answer:
y=-9x+6
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=-9(x-1)
y+3=-9(x-1)
y=-9x+9-3
y=-9x+6
What is the slope of the line represented by the equation y = -2/3 - 5x
Answer:
-5
Step-by-step explanation:
equation of a line is y=m*x+b
m is the slope of that line
so for y= -5x -2/3 m would be -5
Answer:
The slope intercept form of a line takes the Form
y= mx + c
where M is the gradient and as you can see... Its the coefficient of "x"
From the equation given
y= -2/3 - 5x
The Slope(gradient) is -5.
OPTION A IS CORRECT✅
Which of the following is the correct definition of payment shock??
Answer:
payment shock refers to a dramatic increase in an individual's debts and liabilities that may cause them to default on their financial obligations. Put simply, payment shock occurs when, rather suddenly, someone is obligated to pay more in monthly debt than they can afford from their income
Answer: The new payment after the initial fixed-rate period is much higher
than the homeowner expected.
Step-by-step explanation: took the quiz.
Find the image of NPQ under the translation of (x, y) + (x + 8, y + 1).
АВС
DEF
KLM
GHJ
Answer:
Triangle KLM
Step-by-step explanation:
Firstly, we need to write the coordinates of triangle NPQ
We have this as;
(-7,-6) for N
(-4,-3) for P
(-4,-6) for Q
Now, we are going to use the given translation formula;
(x + 8, y + 1)
N’ will be (-7+ 8, -6 + 1) = (1,-5)
P’ will be (-4+ 8, -3+1) = (4,-2)
Q’ will be (-4+ 8, -6+1) = (4,-5)
Now, we need to find the triangle with the exact given transformation coordinates calculated above;
We have the triangle as;
KLM
With K as (1,-5) ; L as (4,-2) and ; M as (4,-5)
Emma read the statement “the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5.” She translated it as shown below.
6 x = negative 2 x minus 4.5
What errors did Emma make? Select two options.
She should have used division to represent the quotient of six and x.
She should not have included an equal sign.
She should have used parentheses to show that Negative 2 is multiplied by (x minus 4.5).
She should have subtracted the difference (x minus 4.5) from Negative 2.
She should have used parentheses to show that Negative 2 is multiplied by (4.5 minus x).
The errors Emma made from her translation are;
She should have used division to represent the quotient of six and x.She should have used parentheses to show that Negative 2 is multiplied by (4.5 minus x).The correct answer choice is option A and E
What errors did Emma make?quotient of six and a number, x, is the same as negative two times the difference of x and 4.5
6/x = -2 × (4.5 - x)
6/x = -2(4.5 - x)
Ultimately, Emma should have translated the statement in the form 6/x = -2(4.5 - x).
Read more on algebra:
https://brainly.com/question/4344214
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Answer: A and C
Step-by-step explanation:
What is 3/5 divided by -1/5
Answer:
-0.12
Step-by-step explanation:
(3/5) / (-1/5) = -0.12
-0.12 i think............
Which ordered pair is a solution to the following linear system?
y= x + 1
y = -2x + 1
A) (-1,-2)
B) (2,1)
C) (0,1)
D) (0,0)
Answer:
C. (0,1)
Step-by-step explanation:
x + 1 = -2x + 1
3x = 0
x = 0
y = (0) + 1
y = 1
Please help me I really need help
Answer:
-2 + 6i
Parallelogram
Step-by-step explanation:
( 5 - 2i ) + ( - 7 + 8i )
remove parenthesis
5 - 2i + ( -7 ) + 8i
combine like terms
5 + (-7) = -2
-2i + 8i = 6i
-2 + 6i
The arrows on the opposite sides indicate that the sides are parallel
A shape with two sets of parallel sides is known as a parallelogram
Choose the correct simplification of the expression (x?y)?
Ох^4у^3
Ox^6y^6
Ох^4у^2
Oxy^4
20% of a number is 30. What is 60% of the number?
Answer:
90
Step-by-step explanation:
30 / 0.2 = 150
150 x 0.60 = 90
Step-by-step explanation:
Well, if 20% = 30, then 40% = 60, and 60% = 90
a. a perpendicular to z
b. a ll b
c. x ll z
d. x perpendicular to a
in one day a store sells 254 gallons of milk for a profit of -$0.17 each they also sell 51 half gallons of orange juice for a profit of 0.34 each what was the store's net profit for the day for these two items total
Answer:
-$25.84
Step-by-step explanation:
254* -0.17 = -$43.18 profit from milk
51 * .34 = $17.34 profit from OJ
-43.18 + 17.34 = -$25.84 profit total
3a + b - 2 = b thank you
Answer:
Get rid of b:
3a+b-2=b
3a-2=0
3a=2
A=2/3
The sum of a number and 3:
Answer:
x+3?
Step-by-step explanation:
honestly, there is not alot of information present here. so when a hear "a number" i think variable.... which would be set up as x+3
The box plots show the basketball scores for two teams.
Answer:
C
Step-by-step explanation: A.P.E.X
Line A (y=4x+2) is transformed into Line B (y=x+5). Which best describes the new slope and y-intercept?
Answer:
The new slope is 1 and the line is shifted flatter.
Step-by-step explanation:
Line A slope is 4.
Line B slope is 1.
The y-intercept rose up 3
As far as slope, it became flatter because the line only rises 1 'square' for every 1 'square' it travels to the right. It was rising 4 'squares' for every 1 to the right.
The owner of a produce stand is selling baskets of peaches, priced by the kilogram. She rounded each measurements to the nearest 2 1 start fraction, 1, divided by, 2, end fraction of a kilogram.How much heavier is the heaviest basket than the second heaviest basket?
Answer:
[tex]1\frac{1}{2}kg[/tex]
Step-by-step explanation:
Given
[tex]a = 6\frac{1}{2}[/tex] --- heaviest
[tex]b = 5[/tex] --- second heaviest
Required
The difference (d)
This is calculated as:
[tex]d = 6\frac{1}{2} - 5[/tex]
[tex]d = 1\frac{1}{2}[/tex]
A car was traveling at a rate of x miles per
hour for 3 hours. How far did the car travel?