Find the expression that is equivalent to 7(x2 – 5x + 1).
Answer:
7x^2 -35x +7
Step-by-step explanation:
7(x^2 – 5x + 1)
Distribute
7x^2 -7*5x +7*1
7x^2 -35x +7
123
Which expression is equivalent to | 18 ? Assume x 20.
o
3x
O
3
0
2x
3
First, I'm going to separate factor the expression inside of the square root.
sqrt[ (2/18) * (x^5) ]
sqrt[ (1/9) * (x^5) ]
We can take the square root of 1/9 easily, because 1 and 9 are both perfect squares. The square root of 1/9 is 1/3.
Looking at the x^5, we can separate it into x^2 * x^2 * x^1. The square root of x^2 is x. So, we now also have an x^2 on the outside because there are two x^2s in our expanded form.
ANSWER: (x^2 * sqrt(x)) / 3
(Option 1)
Hope this helps!
Find the perimeter, in inches, of the parallelogram.
A parallelogram is 5 inches wide, 15 inches long, and 4 inches high.
Answer:
the answer is 24
Step-by-step explanation:
you need to add all the number above
Tristen is packing lunch boxes for the school trip. Each lunch box consists of 1 sandwich, 1 fruit, and 1 drink. Tristen can choose from 3 types of sandwiches, 4 types of fruit, and 2 types of drinks. How many different lunch boxes can Tristen pack?
(question: is this a combination or a permutation?)
Answer:
2
Step-by-step explanation:
Write an equation for a function y=square root of x then shifted up 8 units
Answer:
y= x^2 + 8
Step-by-step explanation:
x square rooted is x^2 and shifted up 8 unit probably means that it wants the y-intercept to be 8.
help me please, i don't know this
its full form is portable document format
can someone help with these? ik the answers i just don’t know how to show work
Step-by-step explanation:
use trigonometry ratios
Which of the following expressions are equivalent to -3x- 6/10
Choose all that apply:
A=3/6x1/10
b=- 3/10x-6
c= none of the above
Answer:
c= none of the above
Step-by-step explanation:
-3x- 6/10
This has two separate terms, a term with a variable
-3x and a term with a constant -6/10
A=3/6x1/10 This has only one term
b=- 3/10x-6 This has a different x term -3/10 which is not -3
c= none of the above
Can I get help it’s EZ points?
9514 1404 393
Answer:
maximum: 16minimum: -24Step-by-step explanation:
The attache graph shows the solution region is bounded by lines through the points (-2, 4), (6, 0), and (3, -6).
The solution (x, y) = (-2, 4) gives the maximum value of z: 16.
The solution (x, y) = (3, -6) gives the minimum value of z: -24.
Find the area of an octagon whose side length is 16 units and its apothem is 36.63 units.
Answer:
2,344.32 units
Step-by-step explanation:
the area = 8× ½× 16 × 36.63
= 2,344.32 units
Write the equation of a line in slope intercept form that passes through the two points. -5,-2 and -3,8 PLS HELP
Answer:
y = 5x + 23
Step-by-step explanation:
y2 - y1 / x2 - x1
8 - (-2) / -3 - (-5)
10 / 2
= 5
y = 5x + b
-2 = 5(-5) + b
-2 = -25 + b
23 = b
twelve people enter a contest. prizes will be given for first second and third place. how many ways can the prizes be given
Answer:
1320 ways
Step-by-step explanation:
Number of contestants = 12
Positions that are n be awarded = First, Second, Third
Number of contestants who could be first = 12 (all 12 contestants)
Number of contestants who could be second = 11 (all 12 contestants - first)
Number of contestants who could be third = 10 (all 12 contestants - first and second )
The number of ways prices can be given :
(1st * 2nd * 3rd) = 12 * 11 * 10 = 1320 ways
Find the area of the shaded region.
A. 112.5 in²
B. 73.5 in²
C. 122.5 in²
D. 147 in²
9514 1404 393
Answer:
B. 73.5 in²
Step-by-step explanation:
The triangle area is half the rectangle area, so the shaded area is also half the rectangle area:
A = 1/2LW = 1/2(21 in)(7 in) = 73.5 in²
Answer:
B.) 73.5 in2
Step-by-step explanation:
I got it correct on founders edtell
I need someone to do this question
Answer:
$1487.50
Step-by-step explanation:
9514 1404 393
Answer:
$1487.50
Step-by-step explanation:
The amount of interest due is ...
I = Prt
where P is the loan amount, r is the annual rate, and t is the number of years. Here, t = 6 months = 1/2 year, so the interest due is ...
I = $1400×0.125×1/2 = $87.50
The total amount due is the sum of the loan amount and the interest:
due = $1400 +87.50 = $1487.50
The total amount due after 60 months is $1487.50.
What is the value of Z? Z =2^3
the value of Zis 8.
Z =2^3=8
Now we have to,
find the required value of Z.
→ Z = 2^3
→ [Z = 8]
Therefore, value of Z is 8.
Use the figure to find x
Answer:
The value of x is [tex]\frac{7\sqrt{6}}{2}[/tex]
Solution given:
AB=7
BD=x
<BAC=60°
<DBC=45°
In right angled triangle ABC
Tan 60°=opposite/adjacent
Tan 60°=BC/AB
Substitute value
[tex]\sqrt{3}[/tex]=[tex]\frac{BC}{7}[/tex]
BC=[tex]7\sqrt{3}[/tex]
again
In right angled triangle BCD
Using Cos angle
Cos 45=adjacent/hypotenuse
Cos45°=BD/BC
Substituting value
[tex]\frac{\sqrt{2}}{2}=\frac{x}{7\sqrt{3}}[/tex]
Doing criss cross multiplication
[tex]\frac{\sqrt{2}}{2}*7\sqrt{3}=x[/tex]
x=[tex]\frac{7\sqrt{6}}{2}[/tex]
Billy's heart rate is 13 beats every 10 seconds. What is his heart rate in beats per MINUTE (bpm)?
Reminder: 1 Minute=60 Seconds
(A)23 bpm
(B)63 bpm
(C)78 bpm
(D)130 bpm
write an expression to represent the sum of 3 and the quotient of a number divided by 6
is absolute value of -998
Answer:
998.
Step-by-step explanation:
Just get rid of the negative sign
Answer:
This should 998 I guess
Step-by-step explanation:
Minus the negative signs
Can someone please help
Answer:
he didnt build the field
Step-by-step explanation:
f
A box of tangerines that weighs 5 pounds costs $4.25.
What is the cost per pound?
Answer:
$0.85
Step-by-step explanation:
$4.25 divided by 5 pounds equals $0.85 per pound.
Answer:
$0.85
Step-by-step explanation:
Find the unit rate.
4.25/5=x/1
Solve for x. X= 4.25/5=0.85
So 1 lb of tangerines costs $0.85.
An office manager booked 55 airline tickets. He booked 6 more tickets on Airline A than Airline B. On Airline C, he booked 5 more than twice as many tickets as on Airline B. How many tickets did he book on each Airline?
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Answer:
A: 17B: 11C: 27Step-by-step explanation:
If we let a, b, c represent tickets booked on airlines A, B, C, respectively, then we have ...
a + b + c = 55
a - b = 6
-2b + c = 5
Using the last two equations to write expressions for a and c, we have ...
a = b +6
c = 5 +2b
These can be substituted into the first equation to give ...
(b +6) +b +(5 +2b) = 55
4b +11 = 55
4b = 44
b = 11
a = b+6 = 17
c = 5 +2b = 27
He booked 17 tickets on Airline A, 11 tickets on Airline B, and 27 tickets on Airline C.
^please answer, thanks in advance ^
Answer:
There is not enough information to determine the mean, the median is 28.
There is not enough information to determine the mean absolute deviation, the interquartile range is 18
Step-by-step explanation:
The box plot given has a skewed distribution, this means that both the mean and median values are not the same. From a box plot, the median value Can be obtained as the point in between the box.
From the box plot given, the marked point in between the box is 28 cm
Hence, Median = 28 cm
The mean cannot be inferred from the skewed box plot.
There is also not enough information to determine the mean absolute deviation ;
The interquartile range:
(Q3 - Q1)
Q3 = upper quartile, the endpoint of the box = 40
Q1 = the starting point of the box = 22
IQR = Q3 - Q1
IQR = 40 - 22 = 18
-4 is a whole number
Answer:
false
Step-by-step explanation:
a whole number is a number that doesnt contain a fraction or negative value
Find all two - digit numbers with the following property: the difference of the number and the number with the same digits in reverse order is 54.
Answer:
17
26
35
44
53
62
71
80
Step-by-step explanation:
Let's solve the problem step by step.
Let's assume the two-digit number is represented as "AB," where A represents the tens digit and B represents the units digit. According to the problem, the difference between the number "AB" and the number "BA" is 54.
So, we have the equation:
(10A + B) - (10B + A) = 54
Simplifying the equation, we get:
9A - 9B = 54
Dividing both sides of the equation by 9, we have:
A - B = 6
Now, we need to find two-digit numbers where the difference between the tens digit and the units digit is 6. The possible combinations are:
(1, 7)
(2, 8)
(3, 9)
(4, 10) - But 10 is not a valid unit digit since it exceeds the range of a two-digit number.
So, the valid two-digit numbers that satisfy the given condition are:
17
26
35
44
53
62
71
80
Therefore, there are 8 two-digit numbers that have a difference of 54 when subtracted from the number formed by reversing their digits.
A car travels 1/8 mile in 2/13 minutes. What is the speed in terms of miles per minute?
Answer:
13/16 miles per minute
Step-by-step explanation:
Take the miles and divide by the minutes
1/8 ÷ 2/13
Copy dot flip
1/8 * 13/2
13/16 miles per minute
Solve the following system of equations
x^2+2y^2=59
2x^2+y^2=43
Answer: x = (-3,3), y = (-5,5)
Step-by-step explanation:
Add both of the equations together, for [tex]3x^{2}+3y^{2} = 102[/tex]. Now we can divide both sides by 3, getting[tex]x^2+y^2=34[/tex]. we subtract the first equation from our equation we just got, getting [tex]y^2=25[/tex] y= (5,-5). once we plug that in, we get [tex]50+x^2 = 59[/tex], [tex]x^2 = 9[/tex] x = (-3,3)
Juan borrowed $ 3, 500 from a credit union for 6 years and was charged simple interest at a rate of 4.97 %. What is the amount of interest he paid at the end of the loan?
Answer:
$4543.70
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + rt)[/tex]
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify
P = 3500
t = 6
r = 4.97% = 0.0497
Step 2: Find Interest
Substitute in variables [Simple Interest Rate Formula]: [tex]\displaystyle A = 3500(1 + 0.0497 \cdot 6)[/tex](Parenthesis) Multiply: [tex]\displaystyle A = 3500(1 + 0.2982)[/tex](Parenthesis) Add: [tex]\displaystyle A = 3500(1.2982)[/tex]Multiply: [tex]\displaystyle A = 4543.7[/tex]Which choice is equivalent to the fraction below? (Hint: Rationalize the
denominator and simplify.)
2-√2
2 + 2
A. 2.
B. 2-3
o
C. 3-2.12
D. 6 - 42
Work out m and c for the line: y + 3 x = 1
Answer:
look at diagram above. Use y=mx+c
