We want to find an absolute value equation such that its solutions are 4 and 11.
We will get: |x - 7.5| = 3.5
Let's see how we can get that.
We should start by the general absolute value equation:
|x - a| = b
This can be decomposed into two equations:
x - a = b
x - a = -b
Both of these must be true, one for each of the given solutions of the equation, now we need to replace these solutions. Let's use the largest solution in the equation where b is positive.
11 -a = b
4 - a = -b
Now we have a system of equations, to solve it we can see that we have the same variable isolated in the two equations, then we can rewrite:
11 - a = b
-(4 - a) = b
then:
11 - a = b = -(4 - a)
11 - a = -4 + a
11 + 4 = a + a
15 = 2*a
15/2 = a = 7.5
Then we can use:
11 - a = b
11 - 7.5 = b = 3.5
Now we know the values of a and b, we just need to replace them in the general equation to get:
|x - 7.5| = 3.5
This is the absolute value equation we were searching.
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Question 4 of 10
Given below are lease terms at the local dealership. What is the total
depreciation fee for this car?
Terms:
• Length of lease: 24 months
• MSRP of the car: $17,500
.
Purchase value of the car after lease: $9900
Down payment: $2400
Monthly payment: $425
Security deposit: $375
Acquisition fee: $500
Answer:
216.67
Step-by-step explanation
i took the bullet.
A bag contains 12 red marbles The ratio of red marbles to blue marbles is 4:3?
There are 9 blue marbles.
Step-by-step explanation:
12÷4=3
3×3=9
(-2x)(x-3)
I need help with algebra!
Answer:
The answer should be -2x^2+6x
228:4 as a unit rate
Step-by-step explanation: 228/4 = 57, so 57/1 = 57:1.
Answer:
57: 1
Step-by-step explanation:
You take 228 divided by 4 which will give you 57 you do it to this side so you did the same thing to the other which mean you take 4 divided by 4 which is 1 therefore the unit rate is 57: 1
help plz this hard i really need help
With all questions???
The diameter of the circle is 6 what’s the circumference
Answer:
If the diameter of a circle is 6 your answer is 18.85
Step-by-step explanation:
Answer:
18.84
Step-by-step explanation:
2πr = CRadius: D ÷ 2 = 6 ÷ 2 = 3Plug 3 into the formula: 2π32π = 2 × 3.14 = 6.286.28 × 3 = 18.84I hope this helps!
What is the value of x?
O 2 units
O 3 units
O 5 units
08 units
Answer:
The value of x is 5 units ⇒ C
Step-by-step explanation:
In the given figure
∵ Δ ABC is a right triangle at vertex B
∵ AC is its hypotenuse
∵ BD ⊥ AC
∴ (BD)² = AD × DC
∵ BD = 10 units
∵ AD = x units
∵ DC = 4x units
→ Substitute them in the rule above
∴ (10)² = x × 4x
∴ 100 = 4x²
→ Divide both sides by 4
∵ [tex]\frac{100}{4}[/tex] = [tex]\frac{4x^{2}}{4}[/tex]
∴ 25 = x²
→ Take √ for both sides
∴ 5 = x
∴ The value of x is 5 units
A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?
Answer:
A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.
Step-by-step explanation:
im built different
what is the z score of -0.08
Answer:
.7881
Step-by-step explanation:
Three times the square of a number is 6 more than
twice the number. What is the number?
Answer:
two is the number
Step-by-step explanation:
i think that
The required number is 1.786.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let the number is x,
According to given condition,
3×x²= 2×x+6
⇒3x²= 2x+6
⇒3x²-2x-6=0
There are two values of x, -1.12 and 1.786
Neglect negative value,
By solving the equation, the value of x is 1.786.
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A shoe store buys a pair of boots from a supplier for $45. The store's manager decides on a markup of 35%. What is the new price of the boots?
Answer:
The new price of the books = $60.75
Step-by-step explanation:
As the original price is: $45As the markup is: 35% = 35/100 = 0.35
The Markup on the original price is:
0.35 × 45 = $15.75
Hence, the new price of the boots:
$45 + $15.75 = $60.75
Therefore, the new price of the books = $60.75
Ellen reads an average of 33 pages per day from Monday through Friday and an average of 68 pages per day on the weekend. For each week, what is the average number of pages that Ellen reads per day?
Answer:
Ellen reads an average of 43 pages per day.
Step-by-step explanation:
33 × 5 = 165
68 × 2 = 136
165 + 136 = 301
301 ÷ 7 = 43
A novelist can write 2and 1 fourth pages in 3 fourths hour. How many pages can she write per hour?
Answer:
The novelist can write 3 pages per hour
Step-by-step explanation:
Unit rate is the work done per unit time.
Given
Number of pages = p = [tex]2\frac{1}{4} = \frac{9}{4}[/tex] pages
Time =t = [tex]\frac{3}{4}[/tex] hours
In order to find the number of pages per hour, we have to divide the number of pages by hours.
So,
[tex]Pager\ per\ hour = \frac{\frac{9}{4}}{\frac{3}{4}}\\Using\ \frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} * \frac{d}{c}\\pages\ per\ hour = \frac{9}{4} * \frac{4}{3}\\= 3\ pager\ per\ hour[/tex]
Hence,
The novelist can write 3 pages per hour
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Answer:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
Step-by-step explanation:
have a nice day!!!
DOOGGGGGGGGGGGGGGGGYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Answer:
AWW CUTEEE!
Step-by-step explanation:
Is he/she yours? They are adorable :)
whats 2+9 if right you get brainly crown
Answer:
11
Step-by-step explanation:
2+9=11
2+1=3
2+2=4
2+3=5
2+4=6
2+5=7
2+6=8
2+7=9
2+8=10
2+9=11
Which of the ratios below is equivalent to 3:5? Select all that apply.
A) 6:10
B) 9:11
C) 9:15
D) 15:25
E) 15:9
Answer:
a, c, d all applies
Step-by-step explanation:
The equation, 3x2 + 6x + 3y2 + 7y + 4 = 0, represents a conic.
The conic represented by the equation is alan
v because
Answer:
Circle - A=C
Step-by-step explanation:
The equation is a circle because the ratio of [tex]x^2 \ and \ y^2[/tex] must be equal,
Equation of a circleThe standard equation of a circle is expressed as [tex]x^2+y^2+2gx+2fy+C=0[/tex]Given the equation of the circle [tex]3x^2 + 6x + 3y^2 + 7y + 4 = 0[/tex]
Rearrange the equation
[tex]3x^2 + 6x + 3y^2 + 7y + 4 = 0\\ 3x^2 + 3y^2 + 6x +7y + 4 = 0[/tex]
The equation is a circle because the ratio of [tex]x^2 \ and \ y^2[/tex] must be equal,
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(Ill give brainliest :) )
Which equations have a value less than 6,766?
A. one fourth x 6,766 = ________
B. 6 x 6,766 = ________
C. one half x 6,766 = ________
D. 1 x 6,766 = ________
1) A and C
2) D and B
3) A and B
4) C and D
Answer:
A and C
Step-by-step explanation:
A.¼×6766=1691.5
B.6×6766=40,596
C.½×6766=3383
D.1×6766=6766
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEE
The graph shows the amount of money possible to make when charging a certain amount for tutoring. The x values represent the price of an hour of tutoring and the y values represent the total profit. What are the zeros of the function? What do they represent
Answer:
It represents no total profit
Step-by-step explanation:
The zeros are the initial point represent how have not yet started the hour of tutoring which means no total profit.(0,0)
Find the slope-intercept equation of the line that passes through (3,-1) and has an undefined slope
Answer:
Slope intercept equation would be: x - 3 = 0
Step-by-step explanation:
[tex]slope \: (m) = undefined = \frac{1}{0} \\ \\ \because \: line \: passes \: through \: the \: \\ point (3, \: - 1) = ( x_{1}, \: y_{1}) \\ \\ equation \: of \: line \: line \: in \: \\ point \: slope \: form \: is : \\ \\ y - y_{1} = m(x - x_{1}) \\ \\ y - ( - 1) = \frac{1}{0} (x - 3) \\ \\ y + 1 = \frac{1}{0} (x - 3)\\ \\ 0(y + 1) = (x - 3) \\ \\ 0 = x - 3 \\ \\ x = 3[/tex]
x=3 is the slope-intercept equation of the line that passes through (3,-1) and has an undefined slope.
If a line has an undefined slope, it means the line is vertical.
A vertical line has the equation of the form x = c, where c is a constant representing the x-coordinate of any point on the line.
The line passes through the point (3, -1), so the x-coordinate of any point on the line is 3.
Therefore, the equation of the line is x = 3.
If the slope-intercept form of a line (y = mx + b), it's not possible for a vertical line because it doesn't have a slope.
The slope-intercept form assumes a non-vertical line.
Hence, the equation of the line passing through (3, -1) with an undefined slope is simply x = 3.
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#SPJ2
the product of the ages of two adults is 572. find their ages
Sally ran 1/3 of a mile and swam 5/6 of a mile. In simplest form, how much farther did
she swim than she ran?
4
5/18
3/6
1/2
4/3
Music ofl
10:51 AM
^! 4 11/18/20303
RI
Type here to search
Answer:
3/6
Step-by-step explanation:
1/3 can be converted to 2/6. From the you would subtract 2/6 from 5/6 which would give you your awnser of 3/6.
Divide the difference between 1,200 and 700 by 5
Answer: 1200 minus 700=500 divided by 5=100
Step-by-step explanation: I got it right on a test
Answer:1200 minus 700=500 divided by 5=100
Step-by-step explanation:
What is the equation of the line of best fit that Mel drew?
Answer: the answer is y = 2/3x + 6
Step-by-step explanation: answer
The correct answer for the best line of fit is y = 2/3x + 6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
In the scatter point it shows that the starting y-intercept is 6 and two of the options have a y-intercept of 15.
We have a picture of the line of fit if it has a slope of 1/3.
The 2/3 is the slope and 6 is the y intercept.
We know that Line of best of fit of the line shown in the scatter plot can be found by finding the slope (m) and the y-intercept (b) of the line then substituting each value into y = mx + b.
So, the correct answer is y = 2/3x + 6
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X +4> -10
..........
Answer:
X>-14
Step-by-step explanation:
Just had to solve it
100 points and Brainliest to the nicest person eheehhehehehehehehe
Answer:
Awe thank you so very much for the points. That was very generous of you.
Step-by-step explanation:
Hope you have an amazing Happy Thanksgiving .
Have a great rest of your day.
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
y + 2 = 1/2x - 2 in standard form.
Answer:
x - 2y - 8 = 0
Step-by-step explanation:
y + 2 = 1/2x - 2
y + 2 + 2 - 1/2x = 0
-1/2x + 4 + y = 0
-2[-1/2x + y + 4] = 0(-2)
x - 2y - 8 = 0
Describe in words and symbols the end behavior of f(x)=−5x4
Answer:
The graph is attached below.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=-5x^4[/tex]
Since the leading term of the polynomial (the term in a polynomial that contains the highest power of the variable) is -5x⁴, then the degree is 4, i.e. even, and the leading coefficient is -5, i.e. negative.
This means that f(x) → −∞ as x → −∞ and f(x)→−∞ as x→∞.
The graph is attached below.
Answer:
Step-by-step explanation:
{letters used in the word 'mathematics'}
m a t h e m a t i c s
Answer: m a t h e I c s
Step-by-step explanation:
Those are all of the letters
